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Oliga [24]
2 years ago
7

This morning, Jake took a history test. There were 90 multiple-choice problems on the test and

Mathematics
1 answer:
ahrayia [7]2 years ago
5 0

Answer:

36

Step-by-step explanation:

To find percent, turn the percent into a fraction (turn 40% into .40) then multiply it by the total number (90).

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Given that f.x 3x-2 over x+1 g[x] x +5 evaluate f[-4] and gf [-2]
Jobisdone [24]

The value of f[ -4 ] and g°f[-2] are \frac{14}{3} and 13 respectively.

<h3>What is the value of f[-4] and g°f[-2]?</h3>

Given the function;

  • f(x) = \frac{3x-2}{x+1}
  • g(x)=x+5
  • f[ -4 ] = ?
  • g°f[ -2 ] = ?

For f[ -4 ], we substitute -4 for every variable x in the function.

f(x) = \frac{3x-2}{x+1}\\\\f(-4) = \frac{3(-4)-2}{(-4)+1}\\\\f(-4) = \frac{-12-2}{-4+1}\\\\f(-4) = \frac{-14}{-3}\\\\f(-4) = \frac{14}{3}

For g°f[-2]

g°f[-2] is expressed as g(f(-2))

g(\frac{3x-2}{x+1}) =  (\frac{3x-2}{x+1}) + 5\\\\g(\frac{3x-2}{x+1}) =  \frac{3x-2}{x+1} + \frac{5(x+1)}{x+1}\\\\g(\frac{3x-2}{x+1}) =  \frac{3x-2+5(x+1)}{x+1}\\\\g(\frac{3x-2}{x+1}) =  \frac{8x+3}{x+1}\\\\We\ substitute \ in \ [-2] \\\\g(\frac{3x-2}{x+1}) =  \frac{8(-2)+3}{(-2)+1}\\\\g(\frac{3x-2}{x+1}) =  \frac{-16+3}{-2+1}\\\\g(\frac{3x-2}{x+1}) =  \frac{-13}{-1}\\\\g(\frac{3x-2}{x+1}) =  13

Therefore, the value of f[ -4 ] and g°f[-2] are \frac{14}{3} and 13 respectively.

Learn more about composite functions here: brainly.com/question/20379727

#SPJ1

6 0
1 year ago
Jim's monthly salary is $1,079.40. His monthly job hours are 140. What is his hourly rate of pay?
alex41 [277]

I'm guessing 7.71

Step-by-step explanation:

1,079.40/140

3 0
2 years ago
What is the smallest positive degree angle measure equivalent to sin^-1 (0.391)?
natta225 [31]

Given:

The value is:

\sin^{-1}(0.391)

To find:

The smallest positive degree angle measure equivalent to \sin^{-1}(0.391).

Solution:

We have,

\sin^{-1}(0.391)

Using the scientific calculator, we get

\sin^{-1}(0.391)=23.0167366398^\circ

\sin^{-1}(0.391)\approx 23^\circ

Therefore, the smallest positive degree angle measure equivalent to \sin^{-1}(0.391) is 23 degrees.

5 0
2 years ago
Read 2 more answers
Evaluate this expression 1/3 x 4 x 9 x 1/2
sveticcg [70]

Answer:

6

Step-by-step explanation:

1/3 x 4 = 1.333....

1.333.... x 9 = 12

12 x 1/2 = 6

4 0
2 years ago
Read 2 more answers
Find the solution to the equation shown below.<br><br> –3.4(x – 2) = 9.8 – 4x
Naddika [18.5K]

Answer:

X= 5

Explanation (Steps):

<u>Step 1: Simplify both sides of the equation.</u>

−3.4(x−2)=9.8−4x

(−3.4)(x)+(−3.4)(−2)=9.8+−4x(Distribute)

−3.4x+6.8=9.8+−4x

−3.4x+6.8=−4x+9.8

<u>Step 2: Add 4x to both sides.</u>

−3.4x+6.8+4x=−4x+9.8+4x

0.6x+6.8=9.8

<u>Step 3: Subtract 6.8 from both sides.</u>

0.6x+6.8−6.8=9.8−6.8

0.6x=3

<u>Step 4: Divide both sides by 0.6.</u>

0.6x0.6=3/0.6

x=5

5 0
3 years ago
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