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3 years ago

Evaluate. -2(x + 6) + 3 = -11x + 4(x + 4) The value of x is ___

Mathematics

1 answer:

Yanka [14]3 years ago

7 0

-2(x + 6) + 3 = -11x + 4(x + 4)

-2x - 12 + 3 = -11x + 4x + 16

-2x - 9 = -7x + 16

5x = 25

Hope this helps! :)

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The question is in the image! Please help if u can its due really soon

Leno4ka [110]

Answer:

Angle STR = 78°

Step-by-step explanation:

So, since line QS is a straight line, we know that it's 180°. We also know that angles QTR and STR both add up to 180°. That gives us an equation:

20x + 12 + 10x + 33 = 180

Combine like terms

30x + 45 = 180

Subtract 45 from both sides

30x = 135

Divide both sides by 30

x = 4.5

Now we know the value of x. We just need to plug it into angle STR's given value:

10(4.5) + 33 = angle STR

45 + 33 = angle STR

78° = angle STR

4 0

3 years ago

You are choosing between two health clubs. Club A offers membership for a fee of $12 plus a monthly fee of $28. Club B offers me

EleoNora [17]

A has fixed one time fee of $12 and if you go to it say "m" months you pay $28 for each month, so your total cost at A is really 12 + 28m.

B has a fixed one time fee of $20 and if you go to it "m" months you pay $26 for each month, so you total cost at B is 20 + 26m.

how many months for the cost to be the same?

$\stackrel{A}{12+28m}=\stackrel{B}{20+26m}\implies 12+2m=20\implies 2m=8\implies m=\cfrac{8}{2}\implies m=4$

well, since the cost for both is the same, we can just get A's, knowing that B is the same

$12+28(4)\implies 12+112\implies 124$

5 0

2 years ago

Consider the equation below.

Korvikt [17]

Answer:

Equation in square form:

$y=3(x+5)^2-4$

Extreme value:

$(h,k)=(-5,-4)$

Step-by-step explanation:

We are given

$y=3x^2+30x+71$

we can complete square

$y=3(x^2+10x)+71$

we can use formula

$a^2+2ab+b^2=(a+b)^2$

$y=3(x^2+2\times x\times 5)+71$

now, we can add and subtract 5^2

$y=3(x^2+2\times x\times 5+5^2-5^2)+71$

$y=3(x^2+2\times x\times 5+5^2)-3\times 5^2+71$

$y=3(x+5)^2-75+71$

So, we get equation as

$y=3(x+5)^2-4$

Extreme values:

we know that this parabola

and vertex of parabola always at extreme values

so, we can compare it with

$y=a(x-h)^2+k$

where

vertex=(h,k)

now, we can compare and find h and k

$y=3(x+5)^2-4$

we get

h=-5

k=-4

so, extreme value of this equation is

$(h,k)=(-5,-4)$

6 0

3 years ago

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Help! i can’t figure this out!

Lunna [17]

X=36 because 1/3 times 36 equals 12

8 0

3 years ago

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Five more than a half number is 6. find the number.

Artyom0805 [142]

First write the equation:
1/2x + 5 = 6

Then subtract five from both sides:

1/2x = 1

Multiply both sides by 2:

x = 2

7 0

3 years ago

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Evaluate. -2(x + 6) + 3 = -11x + 4(x + 4) The value of x is ___​

Evaluate. -2(x + 6) + 3 = -11x + 4(x + 4) The value of x is ___