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IRISSAK [1]
4 years ago
12

Evaluate the function at x = -2.

Mathematics
1 answer:
Fudgin [204]4 years ago
6 0
When x=-2. Y equals 3
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Arianna is working two summer jobs, making $6 per hour walking dogs and making $10 per hour tutoring. In a given week, she can w
Mice21 [21]

Step-by-step explanation:

x = number hours dog walking

y = number hours tutoring

x + y <= 11

6x + 10y >= 80

the solution is the common area below the first line and above the second line.

the first line is above the second line (due to the y-intercept of 11 vs. 8) until the crossing point.

for the crossing point we use the regular equations :

from the first we get

x = 11 - y

using this in the second

6×(11 - y) + 10y = 80

66 - 6y + 10y = 80

4y = 14

y = 14/4 = 7/2 = 3.5

x = 11 - y = 11 - 3.5 = 7.5

so, she has to do at least 3.5 hours tutoring (and then 7.5 hours dog walking) for the minimum of $80 earning, all the way up to the maximum of 11 hours tutoring (and 0 dog walking) for $110 earning.

8 0
3 years ago
L.C.M of x2 + 3x + 2 and x2 + 4x + 3
lutik1710 [3]

Answer:

Step-by-step explanation:

x^2 + 3x + 2 = (x+1)(x+2)

x^2 + 4x + 3 = (x+1)(x+3)

LCM = (x+1)(x+2)(x+3) = (x^2 + 3x + 2) (x+3) = x^3 + 6x^2 + 11x + 6

4 0
3 years ago
Read 2 more answers
"400 reduced by 4 times my age is 116." what is his age?
Lynna [10]
400 reduced by 4 times my age is 116...

400 - 4x = 116
-4x = 116 - 400
-4x = - 284
x = -284/-4
x = 71 <===
4 0
3 years ago
What is the answer to the question A 0.10
xenn [34]
Yeah it’s A q0 good luck
3 0
3 years ago
Read 2 more answers
PLEASE HEKLPP<br> IF ITS RIGHT ILL GIVE BRSAINLIEST
tino4ka555 [31]

Answer:

We conclude that:

h(f(-1))  = -2

∴ option D i.e. -2 is correct.

Step-by-step explanation:

Given

f(x) = 4x² - 1

g(x) = 1/2x + 5

h(x) = 2(x - 4)³

To determine

h(f(-1)) = ?

In order to determine h(f(-1)) first we need to determine f(-1).

substitute x = -1 in the function f(x) = 4x² - 1

f(-1) = 4(-1)² - 1

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

f(-1) = 4-1

f(-1) = 3

so

h(f(-1)) = h(3)

now substitute h = 3 in the function h(x) = 2(x - 4)³

h(x) = 2(x - 4)³

h(3) = 2(3 - 4)³

h(3) = 2(-1)³

h(3) = 2(-1)

h(3) = -2

Thus,

h(f(-1)) = h(3) = -2

Hence, we conclude that:

h(f(-1))  = -2

∴ option D i.e. -2 is correct.

4 0
3 years ago
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