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Elena-2011 [213]
3 years ago
12

Use the substitution method to solve the system of equations. Choose the correct ordered pair.

Mathematics
2 answers:
andrezito [222]3 years ago
7 0
2*4+3y=29
3y=21
y=7
x=4 choice c
podryga [215]3 years ago
5 0

Answer:

solution of the given system of equation is (4,7)

C is the correct option.

Step-by-step explanation:

The given system of equations is

2x+3y=29...(i)\\\\x=4...(ii)

Substituting the value of x from (ii) in equation (i)

2\cdot4+3y=29\\\\8+3y=29\\\\3y=21\\\\y=7

Therefore, the solution of the given system of equation is (4,7)

C is the correct option.

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The value of 5x2 - 11x + 18 is<br> when x = 2.4 and<br> whenx = -3.
Virty [35]

Answer:

20.4

96

Step-by-step explanation:

The value of 5x² - 11x + 18 is

5(2.4)²-11(2.4) +18 = 5(5.76) -26.4+18

= 28.8 -26.4+18 = 20.4 (when x = 2.4)

and 5(-3)² -11(-3) +18 = 45+33+18 = 96

(when x = -3)

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3 years ago
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Help me people who know Trigonometry only! calculate the length a to two decimal places.
aleksandr82 [10.1K]
B or c that's some help.
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3 years ago
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How do you rationalize the numerator in this problem?
maw [93]

To solve this problem, you have to know these two special factorizations:

x^3-y^3=(x-y)(x^2+xy+y^2)\\ x^3+y^3=(x+y)(x^2-xy+y^2)

Knowing these tells us that if we want to rationalize the numerator. we want to use the top equation to our advantage. Let:

\sqrt[3]{x+h}=x\\ \sqrt[3]{x}=y

That tells us that we have:

\frac{x-y}{h}

So, since we have one part of the special factorization, we need to multiply the top and the bottom by the other part, so:

\frac{x-y}{h}*\frac{x^2+xy+y^2}{x^2+xy+y^2}=\frac{x^3-y^3}{h*(x^2+xy+y^2)}

So, we have:

\frac{x+h-h}{h(\sqrt[3]{(x+h)^2}+\sqrt[3]{(x+h)(x)}+\sqrt[3]{x^2})}=\\ \frac{x}{\sqrt[3]{(x+h)^2}+\sqrt[3]{(x+h)(x)}+\sqrt[3]{x^2}}

That is our rational expression with a rationalized numerator.

Also, you could just mutiply by:

\frac{1}{\sqrt[3]{x_h}-\sqrt[3]{x}} \text{ to get}\\ \frac{1}{h\sqrt[3]{x+h}-h\sqrt[3]{h}}

Either way, our expression is rationalized.

7 0
3 years ago
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hodyreva [135]

Answer:

(9x+7)(9x-7)

value of a =9x

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5 0
2 years ago
Need help ASAP, tysm
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Answer:

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Step-by-step explanation:

add like terms

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