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Kamila [148]
3 years ago
6

PLEASE HELP

Mathematics
2 answers:
balandron [24]3 years ago
5 0

Answer:

can I answer your question in comment box

tigry1 [53]3 years ago
3 0

Answer:

can I answer your question in comment box

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3. The path of an underground stream is given by the function y = 4x² +17x -32. Two
sineoko [7]

Answer:

The coordinate of the wells are

(-4 -\sqrt[]{\frac{53}{2}}, 70+15\sqrt[]{\frac{53}{2}})

(-4 +\sqrt[]{\frac{53}{2}}, 70-15\sqrt[]{\frac{53}{2}})

Step-by-step explanation:

The y coordinate of the stream is given by y = 4x^2+17x-32. Also, the y coordinate of the houses are determined by y=-15x+10. We will assume that the houses are goint to be built on the exact position where we build the wells. We want to build the wells at the exat position in which both functions cross each other, so we have the following equation

4x^2+17x-32 = -15x+10

or equivalently

4x^2+32x-42=0 (by summing 15x and substracting 10 on both sides)

Dividing by 2 on both sides, we get

2x^2+16x-21=0

Recall that given the equation of the form ax^2+bx+c=0 the solutions are

x = \frac{-b \pm \sqrt[]{b^2-4ac}}{2a}

Taking a =2, b = 16 and c = -21, we get the solutions

x_1 = -4 -\sqrt[]{\frac{53}{2}}

x_2 = -4 +\sqrt[]{\frac{53}{2}}

If we replace this values in any of the equations, we get

y_1 = 70+15\sqrt[]{\frac{53}{2}}

y_2 = 70-15\sqrt[]{\frac{53}{2}}

4 0
3 years ago
A car loses a quarter of its value every year. It is
DerKrebs [107]

Answer:

Step-by-step explanation:

This is an exponential equation of the form

A=ar^2\text{ where a is the initial value r is the rate and t is the time.}\\ \\ A=35000(0.75)^8\\ \\ A\approx \$ 3504

7 0
3 years ago
What is the slope of y=-7/3x+4
alexgriva [62]

Answer:

-7/3

Step-by-step explanation:

slope formula:

y = mx + b

the m is the slope value

6 0
3 years ago
Read 2 more answers
To make lemonade, 2 cups of lemon juice are mixed with 7 cups of water.Describe and correct the error in proportion used to find
kumpel [21]
<span>x/9 = 8/36 </span>
<span>x = 9 * 8/36 [multiplying each side by 9] </span>
<span>x = 2 </span>
<span> </span>
<span>x/90 = 4.4/12 </span>
<span>x = 90 * 4.4/12 [multiplying each side by 90] </span>
<span>x = 33 </span>

<span>Both proportions should be expressed as lemon juice to water, or water to lemon juice. Either way would give a correct answer: </span>
<span>2/7 = j/28 [lemon juice to water] </span>
<span>8 = j [multiplying each side by 28] </span>

<span>7/2 = 28/j [water to lemon juice] </span>
<span>7j = 56 [multiplying each side by 2j] </span>
<span>j = 8 [dividing each side by 7] </span>


<span>The length proportion is 24 in to 32 ft. </span>
<span>The actual house is 24 ft tall. </span>
<span>Let x represent the doll house height, in inches. Then </span>
<span>x/24 = 24/32 </span>
<span>x = 24 * 24/32 = 18 inches</span>
3 0
4 years ago
Which of the following terminating decimals is equivalent to -1 3/4<br> ?
Reika [66]
It would be - 1.75. Hope it helps! :)
3 0
3 years ago
Read 2 more answers
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