the sum of twice a number and three is 21

Answer:

The line equation in slope-intercept form is:

[tex]y\:=-\frac{2}{5}x+4[/tex]

Hence, option D is true.

Step-by-step explanation:

Given the points

Finding the slope between the points

[tex]\left(x_1,\:y_1\right)=\left(0,\:4\right),\:\left(x_2,\:y_2\right)=\left(5,\:2\right)[/tex]

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{2-4}{5-0}[/tex]

[tex]m=-\frac{2}{5}[/tex]

As the y-intercept is obtained by setting the value x = 0.

As we know that when x = 0, the vale of y-intercept y = 4

so the y-intercept is b = 4.

As the slope-intercept form is

substituting the slope m = -2/5 and the y-intercept b=4

[tex]y = mx+b[/tex]

[tex]y\:=-\frac{2}{5}x+4[/tex]

Therefore, the line equation in slope-intercept form is:

[tex]y\:=-\frac{2}{5}x+4[/tex]

Hence, option D is true.

Answer:

a.1,8

2,7

0,9

3,6

4,5

5,4

Answer:

10.

Step-by-step explanation:

This is a parallelogram so the pair of internal angles add up to 180 degrees.

So 120 + 5x + 10 = 180

5x = 180 - 120 - 10 =  50

x = 50/5

x = 10.

Answer:

45000

Step-by-step explanation:

Jk it's wrong lol

Answer:

we need a picture

Step-by-step explanation:

The solution is, First option and Third option. i.e. they are, "adjacent angles" & complementary angles",

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

here, we have,

You can observe in the figure that the angle 1 and the angle 2 have a common vertex and a common side.

These kind of angles are known as "adjacent angles".

You can observe that the intersection of the lines forms four equal anles which are right angles (Angles of 90 degrees).

Therefore, the angles 1 and 2 and also "complementary angles", because the sum of them is 90 degrees.

Then, the answers are the first option and the third option.

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Answer:the error is when 6y=12

Step-by-step explanation:

the original problem says 4x-6y=12

so when you get rid of the 4x, it should still be -6y not positive

The error is when 6y = 12 it will be -6y = 12 and the intercept would be -2.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

Given the equation is 4x-6y=12.

4x-6y=12

4 x 0 -66y = 12

-6y = 12

y =-2

4x-6y=12

4x - 6 x 0 = 12

4x = 12

x = 3

Therefore, the error is when 6y = 12 it will be -6y = 12, and the intercept would be -2.

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Answer:

A. -400

Step-by-step explanation:

Answer:

-400

Step-by-step explanation:

took the test

Answer:

52 and 54

Step-by-step explanation:

These two numbers are consecutive, and 52+54=106.

=====================================================

Work Shown:

x = some even integer

x+2 = next even integer after x

x+(x+2) = 2x+2 = sum of the consecutive even integers

2x+2 = 106

2x = 106-2

2x = 104

x = 104/2

x = 52

x+2 = 52+2 = 54

The two consecutive even integers are 52 and 54

Check: 52+54 = 106

9514 1404 393

Answer:

  A) 504

  B) 8

Step-by-step explanation:

The statement of proportionality can be written as the equation ...

  m = kr²

Then we can find k from ...

  k = m/r² = 14/2² = 7/2

That is, ...

  m = (7/2)r²

__

Using this relation, we can find m for r=12:

  m = (7/2)·12² = 7·72

  m = 504 . . . for r = 12

__

And, we can use the same equation to solve for r when m=224.

  224 = 7/2·r²

  r² = 64

  r = √64

  r = 8 . . . for m = 224

Answer:

12544cm2

Step-by-step explanation:

if the the circles touch each other, the length is to be gotten by

a) getting the diameter.

- as the radius is 28cm, the diameter of each circle is  56cm.

- 2 circles are connected enabling us to form a horizontal line with the length of 112cm.

b) inside the triangle

- looking keenly you can see three dots at the center of each circle forming a triangle. as we know each circle is connected to 2 others. so the distance from one radius to the other forms a diameter.

-connect the dots, radii from 1 circle to the other, and assign them their measurements,. remember that they lines act as diameters

c) properties of a triangle

-forming that, you will notice that all sides are equal making it an equilateral triangle and equilateral triangles are only able to fit inside parallelograms whose sides are ALL EQUAL.

- got the trick! now we know that all the sides are equal and one side is of the rectangle is 112cm, automatically all sides become 112cm.

d) area

-area will be

S x S

112 x 112

=12544cm2

Answer:

18 minutes

Step-by-step explanation:

Given distance (D) and average speed (S) then time (T) is calculated as

T = [tex]\frac{D}{S}[/tex] = [tex]\frac{15}{50}[/tex] = [tex]\frac{3}{10}[/tex] hour

[tex]\frac{3}{10}[/tex] hour = [tex]\frac{3}{10}[/tex] × 60 min = 3 × 6 = 18 mins

Answer:

Add their absolute values and keep the sign of the integers

Step-by-step explanation:

The problem can be understood with the help of an example.

Let the first number be 2 and other number be 3. If we want to add these numbers, it will be like :

Sum = 2 + 3 = 5

We can see that when we add these two numbers, we find that we add their absolute values while the sign of the integers are same.

So, if we want to find the sum of integers with the same sign, we have to add their absolute values and keep the sign of the integers.

Hence, the correct option is (a).

Answer:

21.9 is the answer rounded to the nearest hundred.

Answer:  B-20/50

Step-by-step explanation:

Work for E and F- 20/50=20X2=40                40 divided by 100 is 40%

                                           50X2=100               and 40/100

Answer:

Solving [tex]8x+6\leq9x+12[/tex] we get [tex]\mathbf{x\geq -6}[/tex]

Option D is correct information.

Step-by-step explanation:

We need to solve [tex]2(4x+3)\leq 3(3x+4)[/tex]

Multiply the terms:

[tex]2(4x+3)\leq 3(3x+4)\\8x+6\leq9x+12[/tex]

Subtracting 6 from both sides

[tex]8x+6-6\leq9x+12-6\\8x\leq9x+6[/tex]

Subtracting 9x from both sides

[tex]8x-9x\leq 9x+6-9x\\-x\leq 6[/tex]

Divide both sides by -1 and reversing the inequality

[tex]x\geq -6[/tex]

So, solving [tex]8x+6\leq9x+12[/tex] we get [tex]\mathbf{x\geq -6}[/tex]

Option D is correct information.

Answer:

x-intercept(s):

(−54,0)

y-intercept(s):  (0,−1)

Step-by-step explanation:

answer is 15

cuz its absolute value

Answer:

x=±15

Step-by-step explanation:

When we have absolute value equations, the first step is always to isolate the absolute value. This has already been done.

We know that a quantity in absolute value can be negative or positive, so in order to solve for it, we take the quantity inside the expression--in this case x--and set it equal to negative OR positive of the term on the right side. In this problem, this step would look like this:

[tex]x=-15[/tex] (the original right-side quantity)

and you would also need to solve for

[tex]x=15[/tex]

So [tex]x[/tex] can be ±15

Answer:

Step-by-step explanation:

A

The probability of randomly selecting a daisy from Bouquet S is equal to the probability of randomly selecting a daisy from Bouquet T

Option C is the correct answer.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

The probability of randomly selecting a daisy from Bouquet S is equal to the probability of randomly selecting a daisy from Bouquet T.

Both bouquets have the same type of flower (daisies) and Leticia has the same number of daisies in each bouquet (13).

Therefore,

The probability of randomly selecting a daisy from Bouquet S is the same as the probability of randomly selecting a daisy from Bouquet T.

Which is 1/13.

(since there are 13 daisies in each bouquet and we assume that each daisy is equally likely to be selected).

Thus,

The probability of randomly selecting a daisy from Bouquet S is equal to the probability of randomly selecting a daisy from Bouquet T

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Answer:

40m???

Step-by-step explanation:

Answer:

1) 5/7

2) (21, 5)

Step-by-step explanation:

1) The slope of the line passing through the points (7, 5) and (21, 15) is

[tex]\frac{15-5}{21-7} =\frac{10}{14}=\frac{5}{7}[/tex]

because slope is (difference of y)/(difference of x)

the first option is correct

2) 1/3 of 5/7 is 5/21.

The line will be in the form of

y = 5/21 x + b where b is the y-intercept.

Find the complete equation by plugging in (0,0) since it passes thorugh the origin.

0 = 5/21 (0) +b

0=0+b

b=0

The equation: y=5/21 x

let's check each option by plugging in.

y= 5/21 (3)= 5/7

y is not 5 but 5/7

y= 5/21 (3)= 5/7

y is not 7 but 5/7

y= 5/21 (21) = 5

y is 5, which matches with the answer choice!!!

y= 5/21 (21) = 5

y is 5, not 7.

The third option is correct

Answer:

a=1

b=2

c=-8

y-intercept: (0, -8)

Line of symmetry calculation: x = -2/(2*1)

Line of symmetry: -1

Opens up because a > 0

Minimum

Vertex: (-1, -9)

Domain: -∞ < x < ∞ (no domain constraints)

Range: [-9, ∞]

Step-by-step explanation:

:))))))))))))))))))))))))))))

Answer: Ok, since there is only a point and you want it in standard form, which I am guessing you mean linear equation in standard form, the answer will be 3y-4x=c. If you need it in point-slope form, then it's y-3=x+4. There is no slope given, so yeah...

Step-by-step explanation:

Answer:

(1, 3, -2) is the answer

Answer:

y = 3x - 10

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 3 , thus

y = 3x + c ← is the partial equation

To find c substitute (1, - 7) into the partial equation

- 7 = 3 + c ⇒ c = - 7 - 3 = - 10

y = 3x - 10 ← equation of line

Answer:

we have an increase of 32.5 million every 4 years.

Then the increase per year is:

32.5 mill/4y = 8.125 million per year.

then if we define the variable x, as the number of years, we can write the linear equation as:

y = x*8.125 million/year + b

where b is the initial amount, that is not shown in the question, so i will just leave it like that.

You can see that when we have x = 4 years we have:

y(4 years) = (4 years)*(8.125 million/year) + b = 32.5 million + b.

Then after 4 years, we have an increase of 32.5 million, that is the thing we knew at the beginning.