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3 years ago

4(5x – 9) = -2(x + 7) solve and justify each step

Mathematics

1 answer:

Alexandra [31]3 years ago

5 0

Step-by-step explanation:

4(5x-9)=-2(x+7)

4*5x-4*9=-2*x-2*7

20x-36=-2x-14

20x+2x=-14+36

22x=22

x=22/22

x=1

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Casey and Stephanie are planning a birthday party. They order a rectangular sheet cake that measures 24 inches by 18 inches. All

tigry1 [53]

Answer:

<h3>6 inches</h3>

Step-by-step explanation:

If Casey and Stephanie order a rectangular cake of dimension 24in by 18in, to get the side length of the largest piece of square, we will find the greatest common factor of both dimension as shown:

24 = 2 * 2 * (2 * 3)

24 = (2 * 3) * 4

24 = 6*4

18 = (2*3)*3

18 = 6*3

From both factors you an see that the common GCF is 6. This shows that the length of the largest square pieces into which Casey and Stephanie can cut the cake is 6 inches.

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3 years ago

Un motor de combustión interna que cumple el ciclo ideal de Otto, funciona con aire como gas ideal. Tras el proceso de admisión

sineoko [7]

Answer:

i no speak spanish

Step-by-step explanation:

6 0

3 years ago

Find the perimeter 8ft 11ft

Irina18 [472]

8x2=16 and 11x2=22 all you have to do is add 16+22 and that gives you 38 i hope this helped

4 0

3 years ago

Read 2 more answers

Two sets of equatic expressions are shown below in various forms: Line 1: x2 + 3x + 2 (x + 1)(x + 2) (x + 1.5)2 − 0.25 Line 2: x

kherson [118]

Answer: The correct line is

$\textup{Line 1 :}x^2+3x+2=(x+1)(x+2)=(x+1.5)^2-0.25.$

Step-by-step explanation: We are given the following two sets of quadratic expressions in various forms:

$\textup{Line 1: }x^2+3x+2=(x+1)(x+2)=(x+1.5)^2-0.25,\\\\\textup{Line 2 :}x^2+5x+6=(x+2)(x+3)=(x+2.5)^2+6.25.$

We are to select one of the lines from above that represent three equivalent expressions.

We can see that there are three different forms of a quadratic expression in each of the lines:

First one is the simplified form, second is the factorised form and third one is the vertex form.

So, to check which line is correct, we need to calculate the factorised form and the vertex form from the simplified form.

We have

$\textup{Line 1: }\\\\x^2+3x+2\\\\=x^2+2x+x+2\\\\=x(x+2)+1(x+2)\\\\=(x+1)(x+2),$

and

$x^2+3x+2\\\\=x^2+2\times x\times 1.5+(1.5)^2-(1.5)^2+2\\\\=(x+1.5)^2-2.25+2\\\\=(x+1.5)^2-0.25.$

So,

$\textup{Line 1 :}x^2+3x+2=(x+1)(x+2)=(x+1.5)^2-0.25.$

Thus, Line 1 contains three equivalent expressions.

Now,

$\textup{Line 2: }\\\\x^2+5x+6\\\\=x^2+3x+2x+6\\\\=x(x+3)+2(x+3)\\\\=(x+2)(x+3),$

and

$x^2+5x+6\\\\=x^2+2\times x\times 2.5+(2.5)^2-(2.5)^2+6\\\\=(x+2.5)^2-6.25+6\\\\=(x+2.5)^2-0.25\neq (x+2.5)^2+6.25.$

So,

$\textup{Line 2 :}x^2+3x+2=(x+1)(x+2)=(x+1.5)^2+6.25.$

Thus, Line 2 does not contain three equivalent expressions.

Hence, Line 1 is correct.

7 0

3 years ago

1. In Tulsa, Oklahoma the sales tax is 7.9%. If

LenaWriter [7]

Answer:

$ 67.15 tax

Step-by-step explanation:

the tax would be 7.9% of 850

turn ur percent to a decimal....and " of " means multiply

0.079 * 850 = 67.15 <==

3 0

3 years ago