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butalik [34]
3 years ago
8

Luis went to the bank he deposited $20 into his savings account and withdrew $40 from his checking account. Write integers to de

scribe both transactions. I'll appreciate any help : 3
Mathematics
1 answer:
aliina [53]3 years ago
7 0

Answer:

Savings Account: x+20

Checking Account:x-40

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2. The path of a high diver is given by y = + (2x2 – 9x – 56), where y is the height of the diver
timofeeve [1]

Answer:

The diver will be 8 feet from the end of the board when he hits the water.

Step-by-step explanation:

The diver hits the water when y = 0.

To find the distance, we have to find the values of x when y = 0.

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = (x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}

x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}

\bigtriangleup = b^{2} - 4ac

In this problem, we have that:

y = 2x^{2} - 9x - 56

2x^{2} - 9x - 56 = 0

So

a = 2, b = -9, c = -56

Then

\bigtriangleup = b^{2} - 4ac = (-9)^{2} - 4*2(-56) = 529

x_{1} = \frac{-(-9) + \sqrt{529}}{2*2} = 8

x_{2} = \frac{-(-9) - \sqrt{529}}{2*2} = -3.5

It is a horizontal distance, so the answer is a positive value.

The diver will be 8 feet from the end of the board when he hits the water.

7 0
3 years ago
Through: (3, -2) and (0, -5)<br> What is the slope
sergij07 [2.7K]

Slope=change in y/change in x (y2-y1/x2-x1)

Slope=-2-(-5)/3-0=3/3=1

answer: slope=1

7 0
4 years ago
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2 x 6/7 <br><br> SEND HELP!!!!!!!!!!!
Allushta [10]

Answer: C. 2 6/7

Hope that helped! :)

8 0
3 years ago
Warren, a golf fan, was curious about how often professional golfers make successful putts from various distances. He looked at
anzhelika [568]

Answer:

Explained below.

Step-by-step explanation:

A correlation coefficient is a mathematical measure of certain kind of correlation, in sense a statistical relationship amid two variables

Negative correlation is a relationship amid two variables in which one variable rises as the other falls, and vice versa.  

Values amid 0.7 and 1.0 (-0.7 and -1.0) implies a strong positive (negative) linear relationship amid the variables.

It is provided that Warren noticed a strong negative linear relationship between the success rate and putt distances.

This implies that as the putt distances are increasing the success rates are decreasing and as the putt distances are decreasing the success rates are increasing.

4 0
3 years ago
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10 POINST!!!<br> What is the area of quadrilateral QRST if QS=18 and RT=24? Show your work.
Allisa [31]

Answer:

area= 1/2 × d1 ×d2

d = diagonal

area= 1/2 ×24×18 =216 unit^2

6 0
3 years ago
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