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solong [7]
3 years ago
13

Jimmy works part-time at Walmart earning $11 per hour. He is allowed to work anywhere between 0 to 30 hours per week. His only e

xpense is $8 per week for an unlimited bus pass. The function E(h) = 11h − 8 represents his weekly earnings for h hours. A. Evaluate E(10) and interpret the meaning in context of the problem. B. Evaluate E(15) and interpret the meaning in context of the problem. C. Interpret the statement E(10) < E(15)
Mathematics
1 answer:
Mashcka [7]3 years ago
8 0
The answer is letter A.
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To two decimal places, find the value of k that will make the function f(x) continuous everywhere. f of x equals the quantity 3x
Fiesta28 [93]

Given function is

f(x)=\left\{\begin{matrix}3x+k & x\leq -4 \\ kx^2-5 & x> -4\end{matrix}\right.

now we need to find the value of k such that function f(x) continuous everywhere.

We know that any function f(x) is continuous at point x=a if left hand limit and right hand limits at the point x=a are equal.

So we just need to find both left and right hand limits then set equal to each other to find the value of k

To find the left hand limit (LHD) we plug x=-4 into 3x+k

so LHD= 3(-4)+k

To find the Right hand limit (RHD) we plug x=-4 into

kx^2-5

so RHD= k(-4)^2-5

Now set both equal

k(-4)^2-5=3(-4)+k

16k-5=-12+k

16k-k=-12+5

15k=-7

k=-\frac{7}{15}

k=-0.47

<u>Hence final answer is -0.47.</u>




7 0
3 years ago
If (1/4) of (4/3) is subtracted from 2, what is the resulting value?
Bad White [126]
2-\dfrac{1}{4}\cdot\dfrac{4}{3}=\\&#10;2-\dfrac{1}{3}=\\&#10;\dfrac{6}{3}-\dfrac{1}{3}=\\&#10;\dfrac{5}{3}
7 0
3 years ago
Let ​f(x)=x^2 and ​g(x)=x-3. Find ​(f​ º g)(​-1).
ValentinkaMS [17]

Answer:

Step-by-step explanation:

8 0
3 years ago
A boat drops an anchor 75 feet to the bottom of a lake. A sunken treasure chest lies at the bottom of the lake, 40 feet away fro
Reil [10]
Given
Height (length) of the anchor dropped from the boat = 75 feet
Distance of the treasure from the anchor = 40 feet

Solution
The dropped at the bottom makes an angle of 90 degree . Therefore making an right triangle with the chest and boat

By Pythagoras theorem
AC^2 = AB^2 + BC^2

(AC = distance of the treasure from the boat
AB = height of the anchor dropped from the boat
BC = the distance of treasure from the anchor)

AC^2 = 75^2 + 40^2
AC^2 = 5325 +1600
AC^2 = 6925
AC = 25 * (under root 11)

Therefore they have cover a distance of 25 * (under root 11)
5 0
3 years ago
Read 2 more answers
3 (x - 2) = 7 – (4 - x)​
larisa [96]

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

x=92x=92

Decimal Form:

x=4.5x=4.5

Mixed Number Form:

x=412x=412

7 0
3 years ago
Read 2 more answers
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