What is the y-intercept when f(0) = 5^1?

Mathematics

2 answers:

Digiron [165]3 years ago

4 0

Answer:

(0,5)

Step-by-step explanation:

5^1=5, meaning that the y coordinate y-intercept is 5. Therefore, the y intercept is (0,5). Hope this helps!

Dmitrij [34]3 years ago

3 0

(0,5) -> answer
0 is the x value and 5 is the y value -> explanation

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The position function of a particle in rectilinear motion is given by s(t) = 2t3 – 21t2 + 60t + 3 for t ≥ 0 with t measured in s

stepladder [879]

When the direction is reversed velocity = 0

v = ds/dt = 6t^2 - 42t + 60 = 0

t^2 - 7t + 10 = 0

(t - 5)(t - 2) = 0

t = 2 s and 5 s which are the times when the direction is reversed
Position at t = 2 = 2(2)^3 - 21(2)^2 +60(2) + 3 = 55 feet
at t = 5 position = 28 feet

Acceleration = dv/dt = 12t - 42

At t = 2 acceleration = -18 ft s-2
At t = 5 ............... = 18 ft s-2

6 0

3 years ago

Help me please. 30 points :)

Nataly [62]

$\frac{(5 \: - \: 8x)}{( \sqrt{5 \: - \: 8x} )} \: = \: \sqrt{5 \: - \: 8x}$
For the result to be Real,
$5 \: - \: 8x \: \geqslant \: 0$
$8x \: \leqslant \: 5$
$x \: \leqslant \: \frac{5}{8}$
$( \frac{(5 - 8x)}{( \sqrt{5 - 8x} )} ) \: \times \: (\frac{ \sqrt{5 - 8x} }{ \sqrt{5 - 8x} } ) \: = \: \frac{ {(5 \: - \: 8x)}^{ \frac{3}{2} } }{(5 \: - \: 8x)}$
Hence,
$\frac{{(5 \: - \: 8x)}^{ \frac{3}{2} } }{(5 \: - \: 8x)}$
is the required form.

3 0

3 years ago

write the slope-intercept form of the line that passes through the point (1,0) and is parallel to x-y=7. type your answer in the

dlinn [17]

We know that

a) the slope-intercept form of the line---------------> y=mx+b
b) if two lines are parallel both have the same slope
then
passes through the point (1,0) and is parallel to x-y=7

Step 1
Find the slope
x-y=7------------> y=x-7------------> m=1

Step 2
Find the slope-intercept form of the line---> y=mx+b
point (1,0) m=1
0=(1)*(1)+b------> b=-1
y=(1)*x-1--------> y=x-1

the answer is
y=x-1

using a graph tool
see the attached figure