I need help pls I don’t understand it

The roots of the quadratic equation 2x² + 5x + 3 = 0 are x = -3 and x = -1/2.

To find the roots of a quadratic equation, we must first convert the equation into the standard form ax² + bx + c = 0. In this case, the given equation is already in this form, so we can proceed with solving. To solve, we use the quadratic formula, which is x = (-b ± √(b² - 4ac))/2a.So, we have x = (-5 ± √(25 - 4(2)(3))/2(2). Simplifying, we get x = (-5 ± √(13))/4. The quadratic formula yields the values x = -3 and x = -1/2. Therefore, the roots of the quadratic equation 2x² + 5x + 3 = 0 are x = -3 and x = -1/2.

x = (-5 ± √(25 - 4(2)(3))/2(2)

= (-5 ± √(13))/4

= -3, -1/2

Learn more about roots here

https://brainly.com/question/12716216

#SPJ4

Answer: y intercept (0,-15), x intercept (5,0), yes, (2,-9) is a solution

Step-by-step explanation:

the y intercept is when x=0, so plug in 0 for x -> y=3(0)-15

y=-15, y intercept is (0,-15)

the x intercept is when y=0

so plug in 0 for y -> 0=3x-15

then solve for x,

add 15 to both sides -> 15=3x

divide both sides by 3, 5=x

x intercept is (5, 0)

to test if (2, -9) solution, lets plug in 2 for x and see if we get an answer of -9

so y=3(2)-15

y=6-15

y=-9

so yes, (2,-9) is a real solution

Answer:

Step-by-step explanation:

You want to know the intercepts of g(x) = -2f(x), where the intercepts of f(x) are (0, 5), (2, 0) and (-4, 0).

The scale factor of -2 applied to f(x) multiplies each of the y-coordinates by -2.

  (x, y) ⇒ (x, -2y)

  (0, 5) ⇒ (0, -10) . . . . y-intercept

  (2, 0) ⇒ (2, 0) . . . . . x-intercept

  (-4, 0) ⇒ (-4, 0) . . . . x-intercept

The intercepts of g(x) are (0, -10), (2, 0) and (-4, 0).

The intercepts of g(x) = -2f(x) are (0, -10), (2, 0), and (-4, 0).

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

f(x) has a y-intercept at 5 and x-intercepts at 2 and −4.

This means,

(0, 5), (2, 0), and (-4, 0)

Now,

g(x) = -2f(x).

This means,

Vertical scaling.

Multiply -2 with the y-coordinate.

(0, 5) = (0, -10)

(2, 0) = (2, 0)

(-4, 0) = (-4, 0)

Now,

The intercepts are (0, -10), (2, 0), and (-4, 0).

Learn more about coordinates here:

https://brainly.com/question/13118993

#SPJ1

The area of the rectangle formed by 4 squares is 36 sq inches.

We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.

We know the perimeter of any plane figure is the sum of the lengths of all the sides.

Let each side of this square be 'a'.

∴ (a + a + a + a) + a + (a + a + a + a) + a = 30.

4a + a + 4a + a  = 30.

2(4a + a) = 30.

2(5a) = 30.

10a = 30

a = 3.

So, the length of the rectangle is 4a and the width is a.

∴ The area of the rectangle is (4a×a) = 4a².

= 4(3)².

= 4(9).

= 36 sq inches.

learn more about rectangles here :

https://brainly.com/question/29123947

#SPJ1

1.  Mr. Hamilton wants to fill with pictures is 4 feet.

2. 6 inches is 0.5 feet.

3. Mr. Hamilton uses 8 pictures to cover to space.

4. If the pictures were 10 inches wide, then he can cover the wall by 3 pictures.

What are the units of length?

Distance is measured in length. Length has the dimension of distance in the International System of Quantities. The majority of measurement systems choose a base unit for length from which all other units are derived. The metre serves as the foundational unit of length in the International System of Units.

Meter, centimeter, kilometer, millimeter, decimeter, decameter, and other units of measurement are frequently used to describe length.

1.

The length of wall is 9.75 feet.

The length of window is [tex]5\frac{3}{4}[/tex] feet = [(5×4) + 3]/4 feet = 23/4 feet = 5.75.

The empty space of the wall is (9.75 - 5.75) = 4feet.

2.

1 feet = 12 inches

or, 12 inches = 1 feet

1 inches = 1/12 feet

6 inches = 6/12 feet =0.5 feet

3.

The number of picture is

= The length of empty space/ the wide of image

= 4/0.5

= 8

4.

Suppose the length of image 10 inches.

10 inches = 10/12 feet

The number of images is (10/12) × 4 = 10/3 = 3.333

He can not cover all empty space by using pictures. He can use only 3 pictures.

To learn more about fraction number, click on below link:

https://brainly.com/question/29000662

#SPJ1

5   is the mean of the numbers .

What are the mean, median, and example?

A data collection is ordered from least to largest, and the median is the midpoint number. A data set's mode is the number that appears the most frequently. The most frequent number, or the one that happens the most frequently, is known as the mode.

                     Example: Since the number 2 appears three times, more than any other number, it is the mode of the numbers 4, 2, 4, 3, and 2.

 x = 2 + 4 + 6 + 8/4

 x = 20/4

  x = 5

Learn more about mean in mode

brainly.com/question/6813742

#SPJ4

22 1/2 because if you see the 150 as 15 an multiply it by 1 1/2 you get 22 1/2

The formula z = (x-μ)/σ allows us to determine the z-score for a sample mean on the distribution of means.

A Z-score is a metric that quantifies how closely a value relates to the mean of a set of values.

Standard deviations from the mean are used to measure Z-score.

A Z-score of zero means the data point's score is the same as the mean score.

Z-scores are calculated using the formula z = (x-μ)/σ, where x represents the raw score, the population mean, and the population standard deviation.

The z-score is simply the raw scoreless the population means, divided by the population standard deviation, as the calculation demonstrates.

Therefore, the formula z = (x-μ)/σ allows us to determine the z-score for a sample mean on the distribution of means.

Know more about a z-score here:

https://brainly.com/question/25638875

#SPJ4

Answer:

Below

Step-by-step explanation:

Filter out the - 2

y =   -2 ( x^2 - 5/2 x)     - 1      Now 'complete the square'

y = -2 ( x^2 - 5/2x + 25/16)  +  50/16     -1      Now simplify:

 =   -2(x-5/4)^2 + 34/16         This will have vertex at  5/4, 34/16

As described in Analytical Geometry the relationship between quantities of  a qualitative graph are explained below.

What is Analytical Geometry?

The area of algebra known as analytical geometry uses an ordered pair of numbers known as coordinates to determine the position of a point on a plane. It is utilised to model many plane objects, including points, lines, and others. The terms Coordinate geometry and Cartesian geometry are both used to refer to analytical geometry.

Cluster Use functions to model relationships between quantities. Standard Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear).

A linear relationship between two quantities will produce a graph of a straight line. The line represents every possible solution for the range of the function. In order to create the line, we use the function equation and evaluate the range, or output, values based upon several of the domain, or input, values.

To learn more about analytical geometry from the given link

https://brainly.com/question/23036034

#SPJ1

Quadrilateral ABCD with diagonal AEC bisecting DAB, BE, DE, and 1 = 2 then BC=DC.

A quadrilateral is a plane figure that has four sides or edges, and also has four corners or vertices.

Given that Quadrilateral is ABCD.

diagonal AEC bisecting DAB,

BE, DE, and 1 = 2.

It is clearly given that the diagonals bisects each other.

Which means all the sides of the quadrilateral might be equal which means the quadrilateral may be a square or an rhombus.

Diagonals DAB and AEC are bisecting.

Then the sides BC and DC are equal.

BC=DC.

Hence, if Quadrilateral ABCD with diagonal AEC bisecting DAB,

BE, DE, and 1 = 2 then BC=DC.

To learn more on Quadrilateral click:

https://brainly.com/question/13805601

#SPJ1

By using the volume of the cylinder, it can be calculated that

Volume of the cylinder is 75.360 cubic inches

What is volume of a cylinder?

Volume of a cylinder is the total space taken by the cylinder.

If r is the radius of the cylinder and h is the height of the cylinder, then volume of the cylinder is calculated by-

V = [tex]\pi r^2h[/tex]

Here,

Height of the cylinder = 6 inches

Radius of the cylinder = 2 inches

Volume of the cylinder = [tex]3.14 \times 2^2 \times 6[/tex] = 75.360 cubic inches

To learn more about volume of cylinder, refer to the link-

https://brainly.com/question/9554871

#SPJ1

Complete Question

A cylinder has a height of 6 inches and a radius of 2 inches. What is its volume? Use a 3.14 and round your answer to the nearest hundredth.​

Answer:

Yes

Step-by-step explanation:

Yes because if you insert -39 for x and 42 for y then your equation is:

42 = -39 + 81

If you were to solve this equation it would be true.

The roots of the quadratic equation 2[tex]x^{2}[/tex] -9x +9 =0 are 1.5 and 0.75

given equation

2[tex]x^{2}[/tex] -9x +9 =0

now , we need to find the roots of the above equation

roots = - b ± [tex]\sqrt{b^{2} - 4ac}[/tex] /4a

a = 2

b =-9

c = 9

roots = -(-9) ± [tex]\sqrt{(-9)^{2} - 4(2)(9)}[/tex] / 4(2)

        = 9 ± [tex]\sqrt{81-72}[/tex] / 8

        = 9 ± [tex]\sqrt{9}[/tex] /8

       = 9 ± 3 /8

      = 9+3/8 and 9-3/8

     = 12/8 and 6/8

    = 1.5 and 0.75

The roots of the quadratic equation 2[tex]x^{2}[/tex] -9x +9 =0 are 1.5 and 0.75

In algebra, a quadratic equation (from Latin quadratus 'square') is any equation that can be rearranged in standard form as

a[tex]x^{2}[/tex] +bx +c =0

where x represents an unknown value, and a, b, and c represent known numbers, where a ≠ 0. (If a = 0 and b ≠ 0 then the equation is linear, not quadratic.) The numbers a, b, and c are the coefficients of the equation and may be distinguished by respectively calling them, the quadratic coefficient, the linear coefficient and the constant or free term.

The values of x that satisfy the equation are called solutions of the equation, and roots or zeros of the expression on its left-hand side. A quadratic equation has at most two solutions. If there is only one solution, one says that it is a double root. If all the coefficients are real numbers, there are either two real solutions, or a single real double root, or two complex solutions that are complex conjugates of each other. A quadratic equation always has two roots, if complex roots are included; and a double root is counted for two. A quadratic equation can be factored into an equivalent equation

To learn more about quadratic equation:

https://brainly.com/question/1863222

#SPJ4

Answer:

Step-by-step explanation:

Simplifying the expression (m^4n)^3 can be done by using the laws of exponents. The first law states that when two terms with identical bases are being multiplied, you add their exponents together. In this case, m is the base and 4n is its exponent; therefore, when we multiply them together three times (or raise to the third power), then our result should be m raised to a power of 12n.

Answer:

Step-by-step explanation:

You want the values of y and z in the figure showing a triangle with exterior angle 135° opposite remote interior angles (5y+5)° and (4z+9)°, where angle (4z+9)° is adjacent to exterior angle (9y-2)°.

The exterior angle of a triangle is equal to the sum of the remote interior angles. This can be used to find both y and z.

The lower left interior angle is 180° -135° = 45°, so the right-side exterior angle is ...

  (9y -2)° = (5y +5)° +45°

  4y = 52 . . . . . . . . . . . . . divide by °, add 2-5y

  y = 13 . . . . . . . . . . divide by 4

The lower left exterior angle is ...

  135° = (5y +5)° +(4z +9)°

  135 = 5(13) +5 +4z +9 . . . . . . . . . divide by °, substitute value of y

  56 = 4z . . . . . . . . . . . . . . . . subtract 79

  14 = z . . . . . . . . . . . . divide by 4

The values of y and z are 13 and 14, respectively.

Answer:

1 foot and 4 inches.

Step-by-step explanation:

1 feet = 12 inches

3 feet = 12*3 = 36 inches

Then:

3 feet and 2 inches = 36 + 2 = 38 inches

if the chair measured 20 inches:

36 - 20 = 16 inches

16 inches = 12inches + 4 inches

= 1 foot and 4 inches

To see the graph of y = 2x−5 with the points (5/2,0) and (0,−5)

Now, According to the question:

y = 2x - 5 is a line. Determine the two points that this line intersects with the axes then connect these points to graph it.

y = 2x - 5

Take y = 0

then, solve for the abscissa

y = 2x - 5

0 = 2x - 5

2x = 5

x = 5/2

We now have the point (5/2 , 0)

Take x = 0

then, solve for the ordinate

y = 2x - 5

y = 0 -5

y = -5

We now have the point (0 , -5)

We now simply draw a line passing thru the two points (5/2 , 0) and

(0 ,-5)

Kindly see the graph of y = 2x−5 with the points (5/2,0) and (0,−5)

Learn more about Graph at:

https://brainly.com/question/17267403

#SPJ4

The relationship between the volumes of a cylinder and a cone both of which have equal radii and vertical heights:

the volume of cone = 1/3 ×  volume of cylinder

In this question we need to find the relationship between the volumes of a cylinder and a cone both of which have equal radii and vertical heights.

Consider a cylinder with radius r and vertical height h.

We know that the formula for the volume of cylinder.

V1 = π × r² × h                  ..........(1)

Now consider a cone with radius r and vertical height h.

Using the formula for the volume of cone,

V2 = 1/3 × π × r² × h

From equation (1),

V2 = 1/3 × V1

the volume of cone = 1/3 ×  the volume of cylinder

Therefore, volume of cone = 1/3 ×  volume of cylinder

Learn more about the volume of cylinder here:

https://brainly.com/question/28011346

#SPJ4

On solving the provided question we can say that, - the roots of the given equations [tex]3x^2 + 7x - 6[/tex] are - x2/3 and x = -3

When referring to the values of a variable for which the supplied polynomial equals zero, we use the term "roots of a polynomial." The polynomial p(x) has zero roots if and only if an is its root. By setting each component to 0, you may solve for x to determine the roots, or solutions, of the polynomial equation P(x) = 0. Factoring is used to solve the polynomial equation. Set each component to a value of 0 (2x4), (x-6) or (x+1). Calculate x using the solution.

here,

[tex]3x^2 + 7x - 6[/tex]

(x - 2/3)(x+3)

x = 2/3 and x = -3

To know more about roots visit:
https://brainly.com/question/9179734

#SPJ4

Work Shown:

1 piece = 1.75 m

11 pieces = 11*1.75 = 19.25 m

22 m - 19.25 m = 2.75 meters

This ignores the width of the saw blade, while small, it's not infinitely thin.

There are 60, odd numbers of 3 digits are there which have all 3 digits distinct with each of the digits odd.

we know that,

Now there are 5 odd numbers from 0 to 9. Those are 1,3,5,7 and 9. Now we need to fill these into three places and make sure that the numbers do not repeat.

Let us take the example of the number 135.

1st digit  2nd digit    3 digit

1               3          5

Now 135 is the first number which satisfies all the conditions.

Similarly, we can find many numbers but this would take a lot of time.

Let us generalize this.

Now we have 5 options to be put in the 1st digit place. So

1st place = 5 options.

Now since the numbers do not have to repeat the number of options we need to put in the second place will reduce to (5-1) that is 4. Thus, 2nd place = 4 options.

Now in the third place too the numbers should not repeat. Thus our options further reduce to (5-3) that is 3 options. Thus,

3rd place = 3 options.

Now, to find all the arrangements, we multiply the number of options in all places.

Thus the total number of numbers is equal to 5×4×3=60

Thus , there are 60, odd numbers of 3 digits are there which have all 3 digits distinct with each of the digits odd.

Learn more about odd numbers at:

https://brainly.com/question/2263958

#SPJ4

Answer:

5%

Step-by-step explanation:

To solve this problem, we need to use the formula for simple interest, which is I = PRT, where I is the interest earned, P is the principal amount, R is the interest rate, and T is the length of time the money is invested. We know that I = 1350, P = 3000, and T = 9, so we can rearrange the formula to solve for R: R = I / (P * T) = 1350 / (3000 * 9) = 0.05. Therefore, the interest rate is 5%.

Answer: 5% per year

Step-by-step explanation:

First, take 1350 divided by 3000, then times 100% = 45% for 9 years

Then take 45 divided by 9 = 5% per year

The mean and standard deviation of the sampling distribution of the sample proportion are: (d) 0.55, 0.0497.

In Mathematics and Statistics, a sample proportion can be defined as the proportion of individuals in a sample that have a specified characteristic or trait.

The mean of the sampling distribution of the sample proportion is equal to 0.55. Mathematically, the standard deviation of the sampling distribution of the sample proportion can be calculated by using this formula:

σp = √(p(1 - p)/n)

Substituting the given parameters into the standard deviation formula, we have;

Standard deviation, σp = √(0.55(1 - 0.55)/100)

Standard deviation, σp = √(0.55(0.45)/100)

Standard deviation, σp = 0.002475

Standard deviation, σp = 0.0497

Read more on standard deviation here: https://brainly.com/question/28095413

#SPJ1

Complete Question:

In a large population, 55% of the people get a physical examination at least once every two years. An SRS of 100 people are interviewed and the sample proportion is computed.

The mean and standard deviation of the sampling distribution of the sample proportion are:

(a) 55, 4.97.

(b) 0.55, 0.002.

(c) 55, 2.

(d) 0.55, 0.0497.

(e) The standard deviation cannot be determined from the given information.

Answer:

Your question seems to be wrong, I'm the equation given there is no arithmetic sign between the constant and the value with the coefficient of X.

Step-by-step explanation:

Anyways, to solve this, you just input 1 as the value of X in the equation. When this is done, you solve normally.

According to question,

Given data,

2x-3y=-12……… (1)

Y=-5x/3-3……… (2)

3y= -5x-9………… (3)

Solving the equation,

(1) and (3)

5x-3y=-9

2x-3y=-12

To solve both equation

3x=3

x=1

the value of x, putting equation 1

5x-3y= -9

5×1-3y=-9

5-3y=-9

-3y=-9-5

-y=-14

y=14/3

y=4.6

the value of x=1 and y=4.6

to know more about graph, visit;

https://brainly.com/question/1295833

#TE1

Q-find the greatest common factor.ab4c7,a7b4c.

We know that,

Greatest common factor= the greatest common factor is the greatest factor that divides both numbers.

According to question.

Given data,

Factor of a= a

Factor of b=b× b× b× b

Factor of c=c× c× c× c× c× c× c

Therefore,

Factor of a=a× a× a× a× a ×a ×a

Factor of b4=b ×b ×b× b

Factor of c=c

Greatest common factor=ab4c

https://brainly.com/question/11988051

#SPJ1

When solving a linear system of equations, what you obtain are the roots of the equation.

A linear equation is the type of equation in which he highest power of the variable is one. In some cases, we would have a system of linear equations and we have to solve the system.

When we are solving the system of equations, there are various methods that we could use such as;

The solutions that we obtain from the equation are the root of that equation.

Learn more about roots of equation:https://brainly.com/question/12029673

#SPJ1

The height of rectangle is equal to its breadth or vertical side length.

A figure which has four straight sides along with 4 right angles is called rectangle.  Two equal side lengths are parallel to each other, and the bigger sides are called length of rectangle and smaller sides are called breadth.

we can determine the height of rectangle by the following formula

if a rectangle has length, A and breadth, B

we know the area of rectangle is the product of length and breadth.

Area =A×B

we know the position of A is along the horizontal and position of B is along the vertical. Therefore, breadth, B refers the height of rectangle.

if we know the value of area and length we will find the height.

breadth = Area/length

height = Area/length

hence, the height of rectangle is its vertical side length.

to know more about properties of rectangle visit:

https://brainly.in/question/27413723

#SPJ4

The simulation disproves the hypothesis that 1 out of 10 players are arbitrarily chosen to be spies by showing that being selected as a spy in 5 out of 7 games is improbable.

A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

The probability is a metric for determining how likely an event is to occur. It gauges the event's degree of certainty. The probability formula is presented as follows:

P(E) = Number of Favorable Outcomes/Number of Total Outcomes.

The frequency is o when the number of agnes chosen to be soy is 5, as shown in the table.

The simulation demonstrates that getting chosen as a spy in 5 out of 7 games is implausible, refuting the claim that 1 out of 10 players is randomly chosen to be a spy.

To learn more about probability refer to:

https://brainly.com/question/13604758

#SPJ1

Distance between the points (-3, 5, -7) and (2, -4, 6) is 5√11 units.

What is cartesian coordinate points?

The Cartesian coordinates of a point in three dimensions are the triple (x, y, z). The three numbers or coordinates give the signed distance from the origin along the x, y, and z axes respectively.

Solution:

Given, x1 = -3     ,  x2 = 2

           y1 = 5      ,  y2 = -4

           z1 = -7     ,  z2 = 6

The formula for finding the distance between two points on 3D graph is given below

Distance =√((x2-x1)²+(y2-y1)²+(z2-z1)²)

⇒Distance =√{(2-(-3))²+(-4-5)²+(6-(-7))²}

⇒Distance =√{(2+3)²+(-9)²+(6+7)²}

⇒Distance =√{5²+81+13²}

⇒Distance =√(25+81+169)

⇒Distance =√275

⇒Distance =5√11

Thus, the distance between (-3, 5, -7) and (2, -4, 6) is 5√11.

To learn more about coordinate geometry point visit the link given below

https://brainly.com/question/28673359

#SPJ1

According to the given information the distance between the points 16.58 units.

the algebraic phrase known as the distance formula, which provides the distances between two places in terms of respective dimensions (see coordinate system). The distance formulae for locations in rectangular coordinates in two- and two half Euclidean space are based upon that Pythagorean theorem.

We can determine an object's actual size by learning how far it is from us. The area that an object occupies in the sky may be measured. The distance to an object is then necessary to calculate its real size. An thing appears smaller the farther it is away.

The distance between two points (x₁, y₁, z₁) and (x₂, y₂, z₂)

[tex]\begin{equation}d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2+\left(z_2-z_1\right)^2}\end[/tex]

x₁, y₁, z₁ = -3, 5, -7

x₂, y₂, z₂ = 2, -4, 6

[tex]\begin{equation}d=\sqrt{\left(2+3\right)^2+\left(-4-5\right)^2+\left(6+7\right)^2}\\\begin{equation}d=\sqrt{\left(5\right)^2+\left(-9\right)^2+\left(13\right)^2}\\\begin{equation}d=\sqrt{25+81+169}\\\begin{equation}d=\sqrt{275}\\[/tex]

= 16.58 units

To know more about distance visit:

https://brainly.com/question/13621107

#SPJ1