What are the 6 steps to solving a standard equation or inequality?

Step-by-step explanation:

1. C(x) is in vertex form so let write the function out.

[tex]a(x - 1) {}^{2} + b[/tex]

B is our maximum value so b=9.

[tex]a(x - 1) { }^{2} + 9[/tex]

To find a, we know that when x=5 is a root so plug 5 in for x to find a.

[tex]a(5 - 1) {}^{2} + 9 = 0[/tex]

[tex]a(4) {}^{2} + 9 = 0[/tex]

[tex]16a = - 9[/tex]

[tex]a = - \frac{9}{16} [/tex]

2.. Let convert Chelesa function into. standard form.

[tex] \frac{ -9 }{16} (x - 1) {}^{2} + 9[/tex]

[tex] - \frac{9}{16} (x {}^{2} - 2x + 1) + 9[/tex]

[tex] - \frac{9}{16} {x}^{2} + \frac{9}{8} x + \frac{135}{16} [/tex]

Let see which value has the higher constant.

135/16 is more than 8 so Chelsea jumper higher.

3. Set Herritea equation equal to zero.

[tex] - \frac{2}{9} {x }^{2} + 8 = 0[/tex]

[tex] - \frac{2}{9} x {}^{2} = - 8[/tex]

Multiply both sides by the reciprocal of negative 2/9.

[tex] {x}^{2} = - 8 \times - \frac{9}{2} [/tex]

[tex] {x}^{2} = 36[/tex]

[tex]x = 6[/tex]

We talking positive distance so the answer is she has moved 6 units horinzontial.

4. The domain of C is all real numbers and the range is All real numbers that are less than or equal to 9.

The domain of H is all real numbers, the range of H is all real numbers that are less than or equal to 8.

5. That means that the y values are equal when x=3.7

Answer:

c=-2

Step-by-step explanation:

Answer:

3(x + 5)(x − 5)

Step-by-step explanation:

Since both terms are perfect squares, factor using the difference of squares formula:

a² − b² = (a + b)

(a − b)  

where  a = x and  b = 5.

3(x + 5)(x − 5)

Or

Search it up for a more detailed answer through Goo gle.

Answer: hope this helps

Step-by-step explanation:

5 (x + 8)

Root:

x = -8

Derivative:

d/dx(2 x + 46 + 3 x - 6) = 5

Indefinite integral:

integral(40 + 5 x) dx = (5 x^2)/2 + 40 x + constant

Answer:

5x-40=0

5x=40

x=40/5

x=8

Answer:

what grade is this?

Answer:

CD=13

Step-by-step explanation:

The figure is symmetrical, as evidenced by the angle measures being marked at the top.

Answer:

13

Step-by-step explanation:

If you look up at the top, you can see that there is two angles that are the same, so that must mean that it can be folded down perfectly.

hope this helps!

Answer:

Therefore the second pizza of 10inch is More

Y>X

Step-by-step explanation:

From the question we are told that:

Diameter of pizzas

Pizza one [tex]D_1=16[/tex]

Pizza two [tex]D_2=10[/tex]

Generally the equation for amount of half of pizza one X is mathematically given by

[tex]X=\frac{1}{2}\pi r^2[/tex]

[tex]X=\frac{1}{2}\pi 8^2[/tex]

[tex]X=100.53inch^2[/tex]

Generally the equation for amount of pizza two Y is mathematically given by

[tex]Y=\pi r^2[/tex]

[tex]Y=\pi 10^2[/tex]

[tex]Y=314.16inch^2[/tex]

Therefore the second pizza of 10inch is More

Y>X

Answer:

26

Step-by-step explanation:

Answer:

yo wanna know want to know wants I had that problem you do...

The answer is 10 ez

Step-by-step explanation:

10.7*8.8 which is 94.16

and then you divide that by 941.6/94.16=10 so then answer is 10

Answer:

it's the 3rd option (eeeexxxxttteeennndddeeerrr)

Answer:

the correct answer is c i hoped this helped

Answer:

57

Step-by-step explanation:

Let c represent the number of children ($1.75 each) and a represent the number of adults ( $2.00 each).

We know that there were 340 people total, so c + a = 340. This implies that a = 340 - c

We also know that $1.75 c + $2.00 a = $609.25

By substituting a with 340 -c we have $1.75 c + $2.00 (340 -c) = $609.25

Use the distributive property to obtain $1.75 c + $680 - $2.00 c = $609.25

Subtract $680 from both sides and combine like terms to get - $0.25 c = -

$70.75

Now, divide both sides by -$0.25 to get c = 283, the number of children.

The number of adults is 340 - c or 340 - 283 = 57

Answer:

D. Square

It is the only one with all right angles and sides the same length

Answer:

12/40

Step-by-step explanation:

12/40=3/10

Answer:

5 ten thousands

Step-by-step explanation:

Ten thousands: 10,000

So...

50,000/10,000=5

5 ten thousands

Answer:

the probability is 0.25

Step-by-step explanation:

first flip if head:0.5

second flip after head:0.5 each

first flip if tails:0.5

second flip after tails:0.5 each

0.5 x 0.5 = 0.25

Answer and Step-by-step explanation:

[tex]\frac{9}{10}[/tex] ÷ [tex]\frac{4}{10}[/tex]

([tex]\frac{2}{5}[/tex] × [tex]\frac{2}{2} = \frac{4}{10}[/tex])

[tex]\frac{9}{10}[/tex] ÷ [tex]\frac{4}{10}[/tex] = [tex]\frac{90}{40} = \frac{9}{4} = 2.25[/tex] - This is the answer.

#teamtrees #PAW (Plant And Water)

Answer:

m(arc WXY) = 224°

Step-by-step explanation:

By inscribed angle theorem,,

"Measure of intercepted arc is double of the inscribed angle"

m(arc WXY) = 2[m(∠YCW)]

Here, arc WXY is the intercepted arc and ∠YCW is the inscribed angle.

By substituting the value of inscribed angle,

m(arc WXY) = 2(112°)

                     = 224°

Therefore, measure of arc WXY is 224°.

Answer:

[tex]\frac{9}{4} - \frac{5}{10} = 1\frac{3}{4}[/tex]

Step-by-step explanation:

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

LCD(9/4, 5/10) = 20

[tex](\frac{9}{4} * \frac{5}{5} ) - (\frac{5}{10} * \frac{2}{2} ) = ?[/tex]

Complete the multiplication and the equation becomes

[tex]\frac{45}{20} - \frac{10}{20}[/tex]

The two fractions now have like denominators so you can subtract the numerators.

Then:

[tex]\frac{45 - 10}{20} = \frac{35}{20}[/tex]

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 35 and 20 using

GCF(35,20) = 5

[tex]\frac{35 / 5 }{20 / 5} = \frac{7}{4}[/tex]

The fraction

[tex]\frac{7}{4}[/tex]

is the same as

7 ÷ 4

Therefore:

[tex]\frac{9}{4} - \frac{5}{10} = 1\frac{3}{4}[/tex]

Apply the fractions formula for subtraction, to

[tex]\frac{9}{4} - \frac{5}{10}[/tex]

and solve

[tex]\frac{(9 * 10)- (5* 4) }{4 * 10}[/tex]

[tex]= \frac{90-20}{40}[/tex]

[tex]= \frac{70}{40}[/tex]

Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF(70,40) = 10

[tex]\frac{70/ 10 }{40 / 10} = \frac{7}{4}[/tex]

Convert to a mixed number using

long division for 7 ÷ 4 = 1R3, so

[tex]\frac{7}{4} = 1\frac{3}{4}[/tex]

Therefore:

[tex]\frac{9}{4} - \frac{5}{10} = 1\frac{3}{4}[/tex]

The question is incomplete:

A farmer sells 8.1 kilograms of apples and pears at the farmer's market. 2/5 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?

Answer:

She sold 4.86 kg of pears at the farmer's market.

Step-by-step explanation:

With information provided, you know the amount of kilograms of  apples and pears sold and that 2/5 of this weight is apples, so you can find first the number of kilograms of apples sold by multipying 2/5 for 8.1 kilograms:

2/5*8.1=3.24 kg

Now, you can find the kilograms of pears that the farmer sold by subtracting the kilograms of apples sold from the total amount of apples and pears sold:

8.1-3.24=4.86 kg

According to this, the answer is that she sold 4.86 kg of pears at the farmer's market.

Answer:

x=9

Step-by-step explanation:

Since, these angles are identified as vertical angles, both sides are equal to each other. So, in order to solve this problem, we have to set the equations equal to each other: (7x+3 = 10x-24).

Given :

A circle is inscribed in a square with a side length of 144.

So, radius of circle, r = 144/2 = 72 units.

To Find :

The probability that the point is inside the circle.

Solution :

Area of circle,

[tex]A_c = \pi r^2\\\\A_c = 3.14 \times 72^2\ units^2\\\\A_c = 16277.76 \ units^2[/tex]

Area of square,

[tex]A_s = (2r)^2\\\\A_s = ( 2 \times 72)^2\ units^2\\\\A_s = 20736\ units^2[/tex]

Now, probability is given by :

[tex]P = \dfrac{A_c}{A_s}\\\\P = \dfrac{16277.76}{20736}\\\\P = 0.785[/tex]

Therefore, the probability that the point is inside the circle is 0.785 .

Answer:

y = 4(x + 2)^2 + 1   (Answer B)

Step-by-step explanation:

Here we're given h = -2 and k = 1.  Right away we know that the vertex form of the pertinent equation is

y = 4(x + 2)^2 + 1   (Answer B)

Answer:

k = 4

Step-by-step explanation:

Here, we want to find the value of k

Mathematically, the gradient of a curve is same as the first derivative

so the first derivative here is;

dy/dx = 4kx^3

Now, the value of x here is 2 while the value of y is 128

Substituting these values;

128 = 4k(2)^3

128 = 32k

k = 128/32

k = 4

Answer:

x = 24

Step-by-step explanation:

To simplify the work we can use the Pytaghoran theorem in this way:

x^2 + x^2 = (24√2)^2

2x^2 = 24^2 *(√2)^2

2x^2 = 576 * 2

x^2 = 576

x = +/- √576

x = +/- 24

we choose only the positive value because a length can’t be negative

x = 24

Answer:

2000 linear feet

becouse 21-19=2 so thats his profit per linear foot

and it costs him 4000 so to get that amount he has to sell 2000 because 2000×2=4000

Answer:

Step-by-step explanation:

Determine the dimensions of a rectangle if:

A = x2 – 19x – 90

Answer:

x= -10

Step-by-step explanation: