If 32(2)c = 8c+7, what is the value of c?

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Answer:

8+8+13+13= 42yd

Length: 13

Width: 8

Multiplied equals:

You can use the definition for the vertex form of a quadratic equation and then can can do conversion of that quadratic equation in that form.

The correct vertex form of the given equation is given by

Option C: [tex]h(x) = (x-5)^2 - 18[/tex]

If a quadratic equation is written in the form

[tex]y = a(x-h)^2 + k[/tex]

then it is called to be in vertex form. It is called so because when you plot this equation's graph, you will see vertex point(peak point) is on (h,k)

This point is called the vertex of the parabola that quadratic equation represents.

We first take out coefficient of x squared, and then inside the bracket, we try to make perfect square like situation.

The given equation is [tex]h(x) = 7 + 10x + x^2\\[/tex]

Converting it in vertex form, we get:

[tex]h(x) = 7 + 10x + x^2\\\\\\h(x) = x^2 + 10x + 7\\h(x) = x^2 + 10x + 25 -25 + 7\\h(x) = (x+5)^2 - 18 \text{\: (Note how the form} \: a^2 + b^2 + 2ab = (a+b)^2 \:\rm got\: made)[/tex]

Thus, we have h = -5 and k = -18

The plot of the given equation is attached below.

Thus,

The correct vertex form of the given equation is given by

Option C: [tex]h(x) = (x-5)^2 - 18[/tex]

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Answer:

c

Step-by-step explanation:

Answer:

x(x+13), or x^2+13x

Step-by-step explanation:

You factor one x out, or you can just add the x values.

Answer:

31

Step-by-step explanation:

Add 4 for every day there after. 15+4=19; 19 +4=23 and so on.

Answer:

= 3z4 - 2z2 -5z

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

15 = 5x

15/5 = 5x/5

3 = x

x = 3

The poverty level cutoff in 1987 to the nearest dollar  was $10787.

The midpoint as the point that divides the line segment exactly in half having two equal segments. Therefore, the midpoint presents the same distance between the endpoints for the line segment. The midpoint formula is: [tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex].

For solving this exercise, first you need plot the points in a chart. See the image.

Your question asks to approximate the poverty level cutoff in 1987 to the nearest dollar using the midpoint formula. Note that the year 1987 is between 1980 and 1990, thus you should apply the midpoint formula from data for this year (1987).

[tex]\mathrm{Midpoint\:of\:}\left(1980,8429),\:\left(1990,13145):\quad \left(\frac{1990+1980}{2},\:\:\frac{13145+8429}{2}\right)\\\\ \\[/tex]

[tex]\mathrm{Midpoint\:of\:}\left(1980,8429)\:=\left(\frac{1990+1987}{2},\:\frac{13145+3843}{2}\right)\\ \\ =\left(\frac{3977}{2},\:\frac{21574}{2}\right)[/tex]

[tex]\mathrm{Midpoint\:of\:}\left(1980,8429)\:=\=(\frac{3977}{2},10787)[/tex]

The answer for your question will be the value that you calculated for the y-coordinate. Then, the poverty level cutoff in 1987 to the nearest dollar  was $10787.

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Answer:

769.50

Step-by-step explanation:

First find how much is one student

95/20=4.75

Then, 162 x 4.75=769.50

if we do 95/20 we get 4.25 that would be the cost for each student and all we have to do is multiply 162 by 4.25 and u get your answer of 688.5

Answer:

Taking the square root

Step-by-step explanation:

[tex]x^2-36=0[/tex]

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

[tex]x=\pm6[/tex]

Alternatively, you can use a difference of squares to factor and solve:

[tex]x^2-36=0\\(x+6)(x-6)=0\\x=-6,x=6[/tex]

Answer:

it is a

Step-by-step explanation:

I might not know but I guess the answer is D

Answer:

  66 °F

Step-by-step explanation:

At 4 P.M., the temperature had decreased by 3° from the temperature at 3 P.M., so was ...

  4 P.M. temp = 78 °F -3° = 75 °F

This was repeated until 7 P.M.

  5 P.M. temp = 75 °F -3° = 72 °F

  6 P.M. temp = 72 °F -3° = 69 °F

  7 P.M. temp = 69 °F -3° = 66 °F

The temperature at 7 P.M. was 66 °F.

__

Of course the repeated subtraction can be simplified using multiplication. The subtraction of 3° four times is equivalent to the subtraction of . . .

  (3°)(4) = 12°

That is, the temperature at 7 P.M. is ...

  78 °F -3°×4 = 78 °F -12° = 66 °F

Answer:

Suzy got the best deal per once

Step-by-step explanation:

Answer:

KM/KL = HJ/HI

Step-by-step explanation:

Triangle JIH is similar to MLK due to Angle-Angle similarity. So, KM/KL = HJ/HI

Answer: Choice D

Explanation:

We can verify this by noticing the ratio between adjacent terms is the same

The common ratio is -4. Each time we need a new term, multiply the previous term by -4. Example: -16*(-4) = 64.

Answer:

A - -4

Step-by-step

Answer:

The answer is A Or 4

Step-by-step explanation:

EDGE 2022

Answer:

your answer would be 4.2 x 10-4

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

p = -2.5

r = 0.5

p + r =

-2.5 + 0.5 =

-2

Answer:

-1

Step by step explanation

Answer:

24 (units)

Step-by-step explanation:

Because Quadrilateral EFGH is being dilated by a scale factor of 3/4, this means that each side of E'F'G'H' gets multiplied by 3/4. In this case, we are going to divide by 3/4 to return to the original figure (or multiply by 4/3 since that is the reciprocal)

This means that side HE is 18/(3/4) = 18(4/3) = 72/3 = 24 units

Answer:

B

Step-by-step explanation:

3t+6=9 or -9
1. 3t+6=9

3t=9-6=3

t=3/3-=1

2. 3t+6=-9

3t=-9-6=-15

t=-15/3=-5

t=1, -5

Answer:

B {-5, 1}

Step-by-step explanation:

Separate into possible cases

3t + 6 = 9

3t + 6 = -9

Solve the equations

t = 1

3t + 6 = -9

The equation has 2 solutions

t = -5

t = 1

Considering the definition of fraction, the fraction of the total time is the actual movie is [tex]\frac{7}{8}[/tex].

The fraction is an expression that marks a division, therefore, it can be said that a fraction represents a distribution or a portion of a unit.

In other words, a fraction is a representation of the parts of a whole, that is, it is divided into equal parts and each part is the fraction of the whole.

Fractions are composed of an upper term called the numerator and a lower term known as the denominator separated by an oblique or horizontal bar.

In this case, you know:

So, the movie is 2 hours and 20 minutes long. (2 hours and 40 minutes - 20 minutes [the previews])

Knowing that 1 hour contains 60 minutes, then:

Then, the fraction of the total time is the actual movie is:

[tex]\frac{140 minutes}{160 minutes}[/tex]

To simplify a fraction is to transform it into a simpler equivalent fraction. To simplify a fraction, we divide the numerator and denominator by the same number.

Finally, simplifying, the fraction of the total time is the actual movie is [tex]\frac{7}{8}[/tex].

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The height of the arch, measured 3 inches from the left side of the arch is 30 inches.

Given

A sculptor creates an arch in the shape of a parabola.

When sketched onto a coordinate grid, the function f(x) = –2(x)(x – 8) represents the height of the arch, in inches, as a function of the distance from the left side of the arch, x.

The path of a projectile under the influence of gravity follows a curve of this shape.

Therefore,

The height of the arch, measured 3 inches from the left side of the arch is;

[tex]\rm f(x) = -2(x)(x - 8)\\\\f(3) = -2(3)(3-8)\\\\f(-3)=(-6)(-5)\\\\f(-3)=30[/tex]

Hence, the height of the arch, measured 3 inches from the left side of the arch is 30 inches.

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Answer:30 inches

Step-by-step explanation:

just took test

Step-by-step explanation:

if seven times a number decreased by 4 is less than 27,then find the solution set

Answer:

36/24 is greater than 9/6

Step-by-step explanation:

He told me my fish would die

The next day dead! (No, no!)

He told me I'd grow a gut!

And just like he said... (no, no!)

He said that all my hair would disappear, now look at my head (no, no! Hey!)

Your fate is sealed when your prophecy is read!

The ratios of the fraction [tex]\frac{9}{6}[/tex] and [tex]\frac{36}{24}[/tex] are compared and  [tex]\frac{9}{6}=\frac{36}{24}[/tex].

Given data:

The first fraction is represented as p.

The value of [tex]p=\frac{9}{6}[/tex].

The second fraction is represented as q.

The value of [tex]q=\frac{36}{24}[/tex]

Now, multiplying the fraction p by [tex]\frac{4}{4}[/tex] :

[tex]p=\frac{9}{6}*\frac{4}{4}[/tex]

On simplifying the equation:

[tex]p=\frac{36}{24}[/tex]

So, the value of p = q.

Hence, the ratios are similar.

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Answer:

56

Step-by-step explanation:

just multiply 8 by 7. to check do 56 divided by 7 which equals 8.

Answer:

P=56

Step-by-step explanation:

Multiply both sides by 7 &p/7=8x7

Simplify P=56

Answer:

there would be 12 in each group or you could do 6 groups with 12 in them

[tex]\stackrel{mixed}{6\frac{3}{7}}\implies \cfrac{6\cdot 7+3}{7}\implies \stackrel{improper}{\cfrac{45}{7}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\frac{45}{7}\textit{\% of 4570}}{\left( \cfrac{~~\frac{45}{7}~~}{100} \right)4570}\implies \left( \cfrac{45}{700} \right)4570~~ \approx~~293.79[/tex]