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hjlf
3 years ago
15

What is the slope of y = −4x + 5? i. 4 ii. 5 iii. − 4 iv. 4/5

Mathematics
1 answer:
FromTheMoon [43]3 years ago
5 0

Answer: -4

Step-by-step explanation:

-4 is the slope since the slope formula says that y = mx + b

Where, m is the slope

Therefore in this case -4 is the slope

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Questions attached as screenshot below:Please help me I need good explanations before final testI pay attention
Nikitich [7]

The acceleration of the particle is given by the formula mentioned below:

a=\frac{d^2s}{dt^2}

Differentiate the position vector with respect to t.

\begin{gathered} \frac{ds(t)}{dt}=\frac{d}{dt}\sqrt[]{\mleft(t^3+1\mright)} \\ =-\frac{1}{2}(t^3+1)^{-\frac{1}{2}}\times3t^2 \\ =\frac{3}{2}\frac{t^2}{\sqrt{(t^3+1)}} \end{gathered}

Differentiate both sides of the obtained equation with respect to t.

\begin{gathered} \frac{d^2s(t)}{dx^2}=\frac{3}{2}(\frac{2t}{\sqrt[]{(t^3+1)}}+t^2(-\frac{3}{2})\times\frac{1}{(t^3+1)^{\frac{3}{2}}}) \\ =\frac{3t}{\sqrt[]{(t^3+1)}}-\frac{9}{4}\frac{t^2}{(t^3+1)^{\frac{3}{2}}} \end{gathered}

Substitute t=2 in the above equation to obtain the acceleration of the particle at 2 seconds.

\begin{gathered} a(t=1)=\frac{3}{\sqrt[]{2}}-\frac{9}{4\times2^{\frac{3}{2}}} \\ =1.32ft/sec^2 \end{gathered}

The initial position is obtained at t=0. Substitute t=0 in the given position function.

\begin{gathered} s(0)=-23\times0+65 \\ =65 \end{gathered}

8 0
1 year ago
Hiram drove 15 miles in 12 minutes. If he
Pavlova-9 [17]
Since distance equals speed times time (d = st), we have

t = d/s

where d = 120 miles and s = 15 miles per hour

t = d / s
t = 120 / 15
t = 8

It will take 8 hours to drive 120 miles at a speed of 15 miles per hour.
8 0
2 years ago
What's the value of x if 7x-5 =5x+23
olya-2409 [2.1K]
7x-5=5x+23
7x-5x=23+5
2x=28
x=28/2
x=14
6 0
3 years ago
What is the product of (4a+6)(3a-8)
Andreyy89

Answer:

12a²-14a-48

Step-by-step explanation:

4a(3a-8) + 6(3a-8)

= 12a²-32a+18a-48

=12a²-14a-48

4 0
3 years ago
There are 12 inches in 1 foot and 5,280 feet in 1 mile. Elena ran 2 1/2 miles.
Maru [420]

Answer:

can you plzz write the full question

8 0
2 years ago
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