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4vir4ik [10]
3 years ago
8

You can model an arch at your school using the equation $y=-0.5\left(x+4\right)\left(x-4\right)$ , where $x$ and $y$ are measure

d in feet. The x-axis represents the ground. Find the width of the arch at ground level.
Mathematics
1 answer:
Ksivusya [100]3 years ago
6 0

Answer:

8feet

Step-by-step explanation:

Given the equation that models the arch of a school expressed as;

$y=-0.5\left(x+4\right)\left(x-4\right)$

If the x axis represents the ground;

At the ground level, x = 0

Substitute x = 0 into the equation to get y;

y = -0.5(0+4)(0-4)

y = -0.5(4)(-4)

y = -0.5 * -16

y = 8ft

Hence the y axis at the ground level is 8feet

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A car's gas tank that is 40% full contains 12 gallons of gas. Show the math you used to find the maximum capacity of the gas tan
Lisa [10]

Answer: 30 gallons

Step-by-step explanation:

So fist we add 40% and $40%. That's 80 percent of the tank which is 12 + 12 = 24. Then we figure out half of 40 percent which is 20 which means its 6 gallons. Now we add. 12+12+6 which equals our answer 30 gallons

3 0
3 years ago
Read 2 more answers
if two angles are supplementary and one of the angles measures 43 degrees, what is the measure of the other angle
sweet-ann [11.9K]

Answer:

137 degrees

Step-by-step explanation:

supplementary angles add up to 180 degrees

180-43=137

6 0
3 years ago
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If f(x) = 8 – 10x and g(x) = 5x + 4, what is the value of (fg)(–2)?
Vedmedyk [2.9K]
F(x) = 8 - 10x

g(x) = 5x + 4

Finding (fg)(-2).

First let us find fg(x),  this is the same as f(g(x))

f(g(x))

f(5x + 4)

Recall, f(x) = 8 - 10x, therefore f(5x + 4) would be such that anywhere we see x in the f(x), we replace it with 5x + 4

f(x) = 8 - 10x

f(5x +4) =  8 - 10(5x + 4)

             =  8 - 50x - 40

             = -50x + 8 - 40

             =  -50x - 32

f(g(x)) = fg(x) = -50x - 32

fg(-2) = -50*(-2) - 32 = 100 - 32 = 68

Therefore fg(-2) = 68

I hope this helped.
5 0
3 years ago
The store sells 12 cans of nuts for $27 how much would it cost you to buy 7 cans of nuts
Kaylis [27]
27/12=2.25

2.25x7=15.75

ANSWER: $15.75 for 7 cans
3 0
2 years ago
If the label on a​ 1-kilogram can of mixed nuts states that a serving size is 40 ​grams, how many servings are there in the​ can
ruslelena [56]
<h3>There are 25 servings</h3>

<em><u>Solution:</u></em>

Given that,

<em><u>The label on a​ 1-kilogram can of mixed nuts states that a serving size is 40 ​grams</u></em>

From given,

Total = 1 kg

We know that,

1 kg = 1000 grams

Serving size = 40 grams

<em><u>How many servings are there in the​ can?</u></em>

\text{Number of servings } = \frac{\text{ total }}{\text{ serving size}}\\\\\text{Number of servings } = \frac{1000}{40}\\\\\text{Number of servings } =25

Thus there are 25 servings

4 0
3 years ago
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