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kirill [66]
3 years ago
8

What is the slope of the graph of 8x – 4y = 11?

Mathematics
1 answer:
AlekseyPX3 years ago
7 0
Y = mx + b
where m is the gradient (slope)
-4y = 11 - 8x
4y = 8x - 11
y = 2x - 11/4
m = 2

The correct answer is A.
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Which value can be added to the set below without changing its mean?
shusha [124]

Answer:

15..

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4, 10, 14, 18, 22, 22

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3 years ago
Let ​f(x)equals=33xminus−​1, ​h(x)equals=startfraction 7 over x plus 5 endfraction 7 x+5 . find ​(hcircle◦​f)(66​).
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\bf \begin{cases}
f(x)=3x-1\\
h(x)=\cfrac{7}{x+5}\\\\
(h\circ f)(x)=h(~~f(x)~~)
\end{cases}
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f(66)=3(66)-1\implies \boxed{f(66)=197}
\\\\\\
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Question 4 (1 point)
Nostrana [21]

Answer:

The ball will hit the ground at 10 seconds and its maximum height is 1024 feet.

Step-by-step explanation:

Height of a mountain, h = 90 feet

Upward velocity of a ball, u = 64 ft/s

Its height as a function of time can be written by using the second equation of motion as follows :

f(x) = -16t^2 + 64t + 960 .....(1)

When it will hit the ground, f(x) = 0

-16t^2 + 64t + 960=0\\\\16(-t^2+4t+60)=0\\\\-t^2+4t+60=0

It is quadratic equation.

t = -6 s and t = 10 s

Neglecting -6 seconds, the ball will hit the ground at 10 seconds.

For maximum height,

Put f'(x) = 0

-32t+64=0\\\\\\t=\dfrac{64}{32}\\\\t=2\ s

Put t = 2 in equation (1)

f(2) = -16(2)^2 + 64(2) + 960\\\\=1024\ \text{feet}

Hence, the ball will hit the ground at 10 seconds and its maximum height is 1024 feet.

5 0
2 years ago
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