The inequality 3(x + 2) > 4(x – 3) is equivalent to which of the following inequalities?F. x < –6
G. x < 5
H. x < 9
J. x < 14
K. x < 18
Can anyone explain me how to make this one step by step?

Answers

Answer 1

Answer: $3(x+2) > 4(x-3)\n\n3\cdot x+3\cdot2 > 4\cdot x+4\cdot(-3)\n\n3x+6 > 4x-12\ \ \ /-6\ \ \ /-4x\n\n3x-4x > -12-6\n\n-x > -18\ \ \ /:(-1) < 0\ then\ changing\ symbols\ >\ \to\ <\n\nx < 18\n\nAnswer:K$

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Can someone help? anyone who's taking like geometry?

Answers

The triangles are similar so corresponding sides will be in ratio. The first triangle has sides of 2, 4, and 6. The second triangle has a largest side of 24. You are asked to find the perimeter of the second triangle.
The largest side of the first triangle is 6 and the largest side of the second triangle is 24. This is a ratio of 6:24 which can be reduced to 1:4.
Each side of the second triangle is 4 times as large as the corresponding side of the first triangle.
Now we can calculate the other 2 sides.
2 x 4 = 8
4 x 4 = 16
The three sides are 8, 16 and 24
Perimeter of this triangle is 8 + 16 + 24 = 48

If |x| > 5 then x>5 true or false?

Answers

Final answer:

If |x| > 5, then x > 5 is true.

Explanation:

If the absolute value of x, denoted |x|, is greater than 5, then x must be either greater than 5 or less than -5. This is because the absolute value of a number is its distance from zero on the number line, so any number that is more than 5 units away from zero will be greater than 5 or less than -5.

In this case, we are looking for x to be greater than 5, so the statement x > 5 is true.

Learn more about Absolute Value here:

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The number 18.345 has five significant figures

Answers

.12 has 2 sig figures

You have purchased a new warehouse. To finance the purchase, you’ve arranged for a 25-year mortgage for 75 percent of the $4,200,000 purchase price. The monthly payment on this loan will be $18,300. What is the APR on this loan? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)

Answers

\begin{aligned}Payment=183000\\ \cos t=4200000\cdot 0,75\% =3150000=c\\ Payment=C\dfrac {\left( 1+i\right) ^{n}\cdot i}{\left( 1+i\right) ^{n}-1}\\ n=25years\times \dfrac {12manths}{1year}=300months\\ 18300=3150000\cdot \dfrac {\left( 1+i\right) ^{300}\cdot i}{\left( 1+i\right) ^{300}\cdot i}\\ i=0,0041\\ i is the monhly interest_{i}\\ i\times 12months=APR\\ APR=0,0123=1,23%\end{aligned}

Simplify this expression.
2^5(13 +12)

Answers

Answer:

800

Step-by-step explanation:

You do 2 to the 5 power, which equals 32. Then add 13 and 12 to get 25. Then multiply 32 and 25 to get 800

Construct a polynomial function with the following properties: fifth degree, −2 is a zero of multiplicity 2, 4 is the only other zero

Answers

5th degree means highest power is 5 total

zeroes/roots are
(x-r)
so -2 is a root
(x-(-2))
(x+2) is a root
multiplicity 2 means it happens 2 times ie
(x+2)^2
e
4 is the only other zero
(x-4)

so now we have
(x-4)(x+2)^2
but that is only 3rd degreed
I could add 2 more degrees that are complex roots and therefor won't be graphed on the plane since they are complex so
find a 2nd degree polynomial that has only complex roots
a complex 2nd degree polynomial
x^2+x+10

ok so this is the function
f(x)=(x-4)(x+2)^2(x^2+x+10)

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