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vagabundo [1.1K]
3 years ago
14

What is the equation of the line that passes through the point (-4,1) and has a slope of -3/4

Mathematics
1 answer:
Rashid [163]3 years ago
8 0

Answer:

y = -3/4x - 2

Step-by-step explanation:

y = -3/4x + b

1 = (-3/4) × -4 + b

1 = 3 + b

-2 = b

b = -2

y = -3/4x -2

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Last week kellie ran 28 miles. This week she ran 32 miles. What is the perecent of change in the number she ran?
Oksana_A [137]

Answer:

60%

Step-by-step explanation:

first do 28+32.

Next it equals 60. So change 60 to percentage form. It would be 60%

7 0
3 years ago
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F(x) =5x^2-20x+3 how to find minimum
Leya [2.2K]

Answer:

(2,-17) should be the minimum.

Step-by-step explanation:

The minimum of a quadratic function occurs at x=-\frac{b}{2a} . If a is positive, the minimum value of the function is f(-\frac{b}{2a})

f_{min}x=ax^2+bx+c occurs at x=-\frac{b}{2a}

Find the value of x=-\frac{b}{2a}

x = 2

evaluate f(2).

replace the variable x with 2 in the expression.

f(2)=5(2)^2-20(2)+3

simplify the result.

f(2)=5(4)-20(2)+3

f(2)=20-40+3

f(2)=-17

The final answer is -17

Use the x and y values to find where the minimum occurs.

HOPE THIS HELPS!

3 0
3 years ago
H=−4.9t2+25t
lina2011 [118]

ANSWER

5

EXPLANATION

The equation that expresses the approximate height h, in meters, of a ball t seconds after it is launched vertically upward from the ground is

h(t) =  - 4.9 {t}^{2}  + 25t

To find the time when the ball hit the ground,we equate the function to zero.

- 4.9 {t}^{2}  + 25t = 0

Factor to obtain;

t( - 4.9t + 25) = 0

Apply the zero product property to obtain,

t = 0 \: or \:  \:  - 4.9t + 25 = 0

t = 0 \:  \: or \:  \: t =  \frac{ - 25}{ - 4.9}

t=0 or t=5.1 to the nearest tenth.

Therefore the ball hits the ground after approximately 5 seconds.

4 0
3 years ago
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The radius of a basketball hoop is 9 inches. Which expression can be used to find the hoop's circumference in inches?
ratelena [41]
C = pi * r ^squared
r = is radius 
square the radius, multiple by r 
or 
2 x pi x r 
3 0
3 years ago
Read 2 more answers
Arthur has decided to start saving for a new computer. His money is currently in a piggy bank at home, modeled by the function s
Leya [2.2K]

Two or more independent functions (say f(x) and g(x)) can be combined to generate a new function (say g(x)) using any of the following approach.

h(x) = f(x) + g(x)         h(x) = f(x) - g(x)

h(x) = \frac{f(x)}{g(x)}                   h(x) = f(g(x))

And many more.

The approach or formula to use depends on the question.

In this case, the combined function is:

f(x) = 75+ 10x

The savings function is given as

s(x) = 85

The allowance function is given as:

a(x) = 10(x - 1)

The new function that combined his savings and his allowances is calculated as:

f(x) = s(x) + a(x)

Substitute values for s(x) and a(x)

f(x) = 85 + 10(x - 1)

Open bracket

f(x) = 85 + 10x - 10

Collect like terms

f(x) = 85  - 10+ 10x

f(x) = 75+ 10x

Read more about functions at:

brainly.com/question/15458447

4 0
2 years ago
Read 2 more answers
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