Compute the exact value of the function for the given x-value without using a calculator. f(x) = 4x for x = -1

1 answer:

3 0

So when x = -1, you just substitute the variable x to -1.

"4x" means 4 times x, so when x is replaced to -1, that would be 4 times -1.

f(-1) = 4(-1) = -4

So the value of function at x = -1 would be -4.

Hope this helps.

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The larger of 2 numbers is 12 more than the smaller. the sum 84. find the numbers

Anestetic [448]

Let the smaller number be x.

Larger number = 12 + x

Sum = 84

x + 12 + x = 84

2x + 12 = 84

2x = 72

x = 36

Hence, the numbers are 36 and 48.

8 0

3 years ago

A quantity P is an exponential function of time I, such that P = 160 when t = 6 and P = 150 when I = 4. Use the given informatio

Klio2033 [76]

Answer:

k = 0.032
P0 = 131.836

Step-by-step explanation:

Perhaps you want to use the points (t, P) = (4, 150) and (6, 160) to find the parameters P0 and k in the equation ...

$P(t)=P_0\cdot e^{kt}$

We know from the given points that we can write the equation as ...

$P(t)=150\left(\dfrac{160}{150}\right)^{(t-4)/(6-4)}=150\left(\dfrac{16}{15}\right)^{\frac{t}{2}-2}\\\\=150\left(\dfrac{16}{15}\right)^{-2}\times\left(\left(\dfrac{16}{15}\right)^{\frac{1}{2}}\right)^t$

Comparing this to the desired form, we see that ...

$P_0=150\left(\dfrac{16}{15}\right)^{-2}\approx 131.836\\\\e^{k}=\left(\dfrac{16}{15}\right)^{1/2}\rightarrow k=\dfrac{1}{2}(\ln{16}-\ln{15})\approx 0.0322693$

So, the approximate equation for P is ...

$P(t)=131.836\cdote^{0.032t}$

And the parameters of interest are ...

k = 0.032
P0 = 131.836

4 0

3 years ago

Can u pls give pls the answers plss

Reptile [31]

Answer: The answers are in the image attached.

Step-by-step explanation: Slope-Intercept equations and graphs.

These are in y = mx + b form. M is slope. b is the y-intercept

For the y-intercept, you identify and label the place on the y-axis where the graphed line crosses it. That is one HINT to figuring out the equation that matches the graph. If the y-intercept is 0, there will be nothing after the 'x' term. If the y intercept ia any other number, that number will appear as a + or - after the 'x' term when you simplify the equation in y = mx + b form.

You have to draw the "stair steps" It helps you see slope. How many blocks up or down is the Rise. How many blocks from left to right is the Run.

Start by making a fraction Rise/Run if the Run is 1, the Slope is a whole number, the Numerator of the fraction (the 1 disappears from the equation).