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Alona [7]
3 years ago
15

What is the equation of the line if the line passes through (4, 4) and the y-intercept is −4.​

Mathematics
2 answers:
tresset_1 [31]3 years ago
3 0

Y = mx+c

m is the gradient and c is the y-intercept so

4 = m(4) + (-4)

4 = 4m - 4

4m = 8

m = 2

Ans: Y = 2x - 4

labwork [276]3 years ago
3 0
4 = 4m - 4
8 = 4m
2 = m

y = 2x - 4
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F(x) = 4x2 – 10x + 2<br> Find f(-7)
eimsori [14]

Answer:

f(-7) = 268

Step-by-step explanation:

f(x) = 4x^2 – 10x + 2

Let x = -7

f(-7) = 4(-7)^2 – 10(-7) + 2

     Exponents first

f(-7) = 4(49) – 10(-7) + 2

Multiply

f(-7) = 196 + 70 + 2

f(-7) = 268

8 0
2 years ago
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Hurry!
NARA [144]

Ans(a):

Given function is f(x)=\frac{3x-1}{x+4}

we know that any rational function is not defined when denominator is 0 so that means denominator x+4 can't be 0

so let's solve

x+4≠0 for x

x≠0-4

x≠-4

Hence at x=4, function can't have solution.


Ans(b):

We know that vertical shift occurs when we add something on the right side of function so vertical shift by 4 units means add 4 to f(x)

so we get:

g(x)=f(x)+4

g(x)=\frac{3x-1}{x+4}+4

We may simplify this equation but that is not compulsory.

Comparision:  

Graph of g(x) will be just 4 unit upward than graph of f(x).


Ans(c):

To find value of x when g(x)=8, just plug g(x)=8 in previous equation

8=\frac{3x-1}{x+4}+4


8-4=\frac{3x-1}{x+4}


4=\frac{3x-1}{x+4}


4(x+4)=(3x-1)


4x+16=3x-1


4x-3x=-1-16

x=-17

Hence final answer is x=-17

8 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 truck wheel is 3 ft. what is the approximate circumference if the truck wheel.
Phoenix [80]
Circumference = 2 \pi r
When you plug that in you should have (2* \pi ) *3
Solve that and you have your answer(: I would recommend rounding to the nearest hundreth
8 0
3 years ago
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Find the slope in fraction form
nlexa [21]

Answer:

-1/3

Step-by-step explanation:

Taking two points on the graph (I took (0,9) and (6,7)

Slope=(y2-y1)/(x2-x1)

(7-9)/(6-0)=-2/6

=-1/3

7 0
3 years ago
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