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larisa86 [58]
4 years ago
12

I really need to do #3

Mathematics
1 answer:
Aloiza [94]4 years ago
8 0
A.20%
Because if we change 20% to 100% , you will need to multiply it by 5. The difference of 20 and 16 is 4, and 4×5=20
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The graphs of f(x) and g(x) are shown below:
rosijanka [135]
<h2>Answer:</h2>

Option: C is the correct answer.

            C.)   x = −3.8, 3

<h2>Step-by-step explanation:</h2>

The function f(x) is given by:

           f(x)=x^2-x-12

and the function g(x) is given by:

            g(x)=-1.8x-0.6

Now, we are asked to find the solution of the equation:

        f(x)=g(x)

i.e. we have to find the value of x such that both the functions are equal i.e.

x^2-x-12=-1.8x-0.6\\\\i.e.\\\\x^2-x+1.8x-12+0.6=0\\\\i.e.\\\\x^2+0.8x-11.4=0\\\\i.e.\\\\10x^2+8x-114=0\\\\i.e.\\\\5x^2+4x-57=0

Now, on solving the equation using the quadratic formula i.e. the solution of the equation:

ax^2+bx+c=0

is given by:

x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}

Here we have:

a=5,\ b=4\ and\ c=-57

Hence, the solution is given by:

x=\dfrac{-4\pm \sqrt{4^2-4\times 5\times (-57)}}{2\times 5}\\\\i.e.\\\\x=\dfrac{-4\pm \sqrt{16+1140}}{10}\\\\i.e.\\\\x=-3.8\ and\ x=3

6 0
3 years ago
2x + 3y = 12<br> Complete the missing value in the solution to the equation.<br> ,8)
Kamila [148]
Answer: -6

Step by step:
2x + 3(8) = 12
2x + 24 = 12
2x = -12
x = -6
7 0
3 years ago
Marie and Whitney order eggs for $4.35, pancakes for $3.10, and 2 mugs of cocoa for $1.45 each. The tax is $0.85. How much chang
svetlana [45]

Answer:

$3.80

Step-by-step explanation:

$4.35+$3.10+$1.45+$1.45+$0.85=$11.20

$15.00-$11.20=$3.80

6 0
3 years ago
Hal is asked to write an exponential function to represent the value of a $10,000 investment decreasing at 2% annually. What
jek_recluse [69]

Answer:

0.98

Step-by-step explanation:

The investment starts at $10,000.

$10,000 is 100% of the investment.

In the first year, it loses 2% of its value. That means that after 1 year, the value of 100% of $10,000 is decreased by 2% of $10,000.

100% - 2% = 98%

After the first year, the investment is worth 98% of the original value.

98% as a decimal is 0.98

Answer: 0.98

4 0
3 years ago
Read 2 more answers
How do I find the measurements of this triangle
Rudik [331]
Using sine law: 

9/sinc = 15/sin22 

sinc = 9sin22 / 15 = 0.225 

so c = sin^-1(0.225) = 12.99 degrees ~~ 13 degrees

if B was required:

B = 180  - C - A ~~  145 

8 0
3 years ago
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