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2 years ago

For the quadratic function below, what is the rate of change over the interval.

Mathematics

1 answer:

Darya [45]2 years ago

5 0

Answer:

Step-by-step explanation:

Intervals are always x values. When x = 5, y = 4 (look at the graph to se this); when x = 6, y = 2. The rate of change is the same thing as the slope. We can't get an exact slope here because this isn't a straight line, but we can find the average rate of change. We use the slope formula to do this: with the coordinates (5, 4) and (6, 2):

$m=\frac{2-4}{6-5}=\frac{-2}{1}=-2$ . Third choice down is the one you want.

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Darius is a graphic designer he makes a sign for a company that has a width of 2 feet and a length of 2 feet 6 inches the compan

Scorpion4ik [409]

Answer:

Scale factor is the ratio of any two corresponding lengths in two similar geometric figures

Length of sign ×scale factor=length of flyer

scale factor = 1:3

Step-by-step explanation:

when you have two figures which are geometric similar, the scale factor is the ratio of their corresponding side's lengths.

To find scale factor you identify the sides that are similar in the figures then get the ratio of their lengths.

Given the dimensions of sign as ;

width= 2 feet--------change to inches by multiplying by 12 (1 foot=12 inches)

width=2*12=24 inches

length= 2feet 6 inches

length= 24+6 =30 inches

Hence the sign has dimensions

width=24 in

length=30 in

Flyers dimensions

width=8 in

length=10 in

Finding Scale factor

length of sign ×scale factor=length of flyer

30×scale factor=10

scale factor=10/30 =1/3 or 1:3

6 0

2 years ago

What are the additive and multiplicative inverses of h(x) = x - 24?

Marrrta [24]

Answer:

Additive inverse : j(x) = -x + 24

Multiplicative inverse : k(x) = 1/x-24

Step-by-step explanation:

I literally have no idea how, I got this answer off of quizlet :) have a good day.

4 0

2 years ago

Please help will give brainliest :)

Black_prince [1.1K]

Answer:

68 is the perimeter

the answer would be 48.17

Step-by-step explanation:

to find the perimeter you have to add all the sides

8 0

2 years ago

What is the factored form of the expression?<br><br> d^2 = 36d + 324

Veseljchak [2.6K]

Answer:

$(x-43.45)(x+7.45)=0$

Step-by-step explanation:

We have the quadratic equation $d^{2}=36d+324$ i.e. $d^{2}-36d-324=0$

As, the roots of the quadratic equation $ax^{2}+bx+c=0$ are given by $x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}$ .

So, from the given equation, we have,

a = 1, b = -36 , c = -324.

Substituting the values in $x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}$ , we get,

$x=\frac{36\pm \sqrt{(-36)^{2}-4\times 1\times (-324)}}{2\times 1}$

i.e. $x=\frac{36\pm \sqrt{1296+1296}}{2}$

i.e. $x=\frac{36\pm \sqrt{2592}}{2}$

i.e. $x=\frac{36\pm 50.9}{2}$

i.e. $x=\frac{36+50.9}{2}$ and $x=\frac{36-50.9}{2}$

i.e. $x=\frac{86.9}{2}$ and $x=\frac{-14.9}{2}$

i.e. x = 43.45 and x = -7.45

Thus, the roots of the equation are 43.45 and -7.45.

Hence, the factored form of the given expression will be $(x-43.45)(x+7.45)=0$

3 0

2 years ago

Select the correct answer. You have this information about ΔABC, ΔFDE, and ΔGIH: AB = DF AB = GI BC = HI DE = HI m∠B = m∠D = m∠I

choli [55]

Answer:

Step-by-step explanation:

plato

3 0

2 years ago