Let f(x)=x+8 and g(x)=x^2 -6x-7. find f(g(2))

Answers

Answer 1

Answer: $f(g(2))=2^2-6\cdot2-7+8=4-12+1=-7$

Answer 2

Answer: $f(x)=x+8\n\ng(x)=x^2-6x-7\n\nf(g(x))=(x^2-6x-7)+8=x^2-6x+1\n\nf(g(2))=2^2-6\cdot2+1=4-12+1=-7\n\nSolution:f(g(2))=-7$

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How do you factor this equation? 5x^2-36x-81

Answers

ANSWER: THERE ARE TWO SOLUTIONS TO GET THE ANSWER

THE FIRST ONE IS FACTOR BY GROUPING AND THE SECOND SOLUTION IS SOLVING USING THE QUADRATIC FORMULA.

STEP BY STEP SOLUTION:

FACTOR BY GROUPING

(5x +9) (x -9)

WRITE IN STANDARD FORM

5x^2 - 36x -81

SOLVE USING THE QUADRATIC FORMULA

Solve the equation for x by finding a,b, and c of the quadratic then applying the quadratic formula.

X= 9, -9/5

I HOPE IT HELP YOU :)

Solve: 2505/125 in fraction notation

Answers

$(2505)/(125)$

find a common factor of 2505 and 125 : 5

factor 5 from the numerator and the denominator

2505 = 5 * 501

125 = 5 * 25

$= (5*501)/(5*25)$

$= (501)/(25)$

hope this helps!

Round each decimal number to the nearest integer 11.90

Answers

This one rounds up to 12

Which of the following shows the correct steps to find the value of 16 to the power of 1 over 4?16 to the power of 1 over 4 equals 2 to the power of 4 to the power of 1 over 4 equals 2 to the power of 4 multiplied by 1 over 4 equals 2
16 to the power of 1 over 4 equals 4 to the power of 4 to the power of 1 over 4 equals 4 to the power of 4 multiplied by 1 over 4 equals 4
16 to the power of 1 over 4 equals 2 to the power of 8 to the power of 1 over 4 equals 8 to the power of 8 multiplied by 1 over 4 equals 4
16 to the power of 1 over 4 equals 8 to the power of 2 to the power of 1 over 4 equals 2 to the power of 2 multiplied by 1 over 4 equals 8

Answers

Answer:

Option A is correct.

Value of 16 to the power of 1 over 4 equals to the power of 4 to the power of 1 over 4 equals 2 to the power of 4 multiplies by 1 over 4 equal 2.

Step-by-step explanation:

To find the value of: 16 to the power of 1 over 4.

$16^{(1)/(4)}$

we can write 16 as:

$16 = 2 \cdot 2 \cdot 2 \cdot 2 = 2^4$

⇒ $(2^4)^{(1)/(4)}$

⇒ $(2)^{4 \cdot (1)/(4)}$ [∴ $(a^n)^m = a^(nm)$ ]

⇒2

Hence, the value of $16^{(1)/(4)}$ is, 2.

Therefore, the value of 16 to the power of 1 over 4 equals to the power of 4 to the power of 1 over 4 equals 2 to the power of 4 multiplies by 1 over 4 equal 2.

Ans. 16 to the power of 1 over 4 equals 4 to the power of 4 to the power of 1 over 4 equals 4 to the power of 4 multiplied by 1 over 4 equals 4

Find the sum. Write your answer in simplest form.

6 5/6 + 6 11/12

Answers

If you would like to calculate 6 5/6 + 6 11/12, you can do this using the following steps:

6 5/6 + 6 11/12 = 41/6 + 83/12 = 82/12 + 83/12 = 165/12 = 55/4 = 13 3/4

The correct result would be 55/4.

What two numbers add to equal -12 and multiply to equal -28?

Answers

One thing before we start :)

AS you can see both numbers after equation have to be negative,
also we know that 2 same numbers have to add up to -12 and those 2 number after multiplication have to be equal -28

Some theory:

We know that any number which is not negative multiplied by negative will result in negative result, to make it more clear

$(+)*(-)=(-)$

but

$(-)*(-)=(+)$

we have 2 unknown numbers, let's say it's $x$ and $y$

$x+y=-12$
$x*y=-28$

for $x=2$
for $y=-14$

$2+(-14)=2-14=-12$
$(2)*(-14)=-28$

So your answer is 2 and -14 ;)

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