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2 years ago

Which equation is equivalent to y−3=4(x−5)?

Mathematics

2 answers:

vlabodo [156]2 years ago

7 0

U solve it as an equation. So u multiply 4 times x and 4 times -5…. U can see how I solved it below

djverab [1.8K]2 years ago

5 0

Answer:

y = 4x - 17

Step-by-step explanation:

y - 3 = 4(x - 5) ← distribute parenthesis by 4

y - 3 = 4x - 20 ( add 3 to both sides )

y = 4x - 17

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3 years ago

Find all solutions to the equation (x² + 5x + 6)(x² − 3x − 4) = 0.

Soloha48 [4]

Answer:

The solutions are:

$x=-2,\:x=-3,\:x=-1,\:x=4$

Step-by-step explanation:

To find the solutions to the equation $\left(x^2+5x+6\right)\left(x^2-3x-4\right)=0$ you need to:

Factor $\left(x^2+5x+6\right)$

Break the expression into groups

$x^2+5x+6=\left(x^2+2x\right)+\left(3x+6\right)$

Factor out $x$ from $(x^2+2x)$

$x^2+2x=x\left(x+2\right)$

Factor out 3 from $3x+6$

$3x+6=3\left(x+2\right)$

$x^2+5x+6=x\left(x+2\right)+3\left(x+2\right)\\\\\mathrm{Factor\:out\:common\:term\:}x+2\\\\x^2+5x+6=\left(x+2\right)\left(x+3\right)$

Factor $\left(x^2-3x-4\right)$

$x^2-3x-4=\left(x^2+x\right)+\left(-4x-4\right)\\\\x^2-3x-4=x\left(x+1\right)-4\left(x+1\right)\\\\x^2-3x-4=\left(x+1\right)\left(x-4\right)$

Therefore

$\left(x^2+5x+6\right)\left(x^2-3x-4\right)=\left(x+2\right)\left(x+3\right)\left(x+1\right)\left(x-4\right)=0$

Using the Zero Factor Theorem:

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4 years ago

What is 4 log Subscript one-half Baseline w + (2 log Subscript one-half Baseline u minus 3 log Subscript one-half Baseline v) wr

inna [77]

The correct answer is B).

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3 years ago

Read 2 more answers

A freight train is carrying goods across the country. The number of gallons of fuel it has used varies directly with the distanc

Maru [420]

Answer:

<u>0.125 miles per gallon.</u>

Step-by-step explanation:

After 200 gallons used the freight train has traveled 25 miles. This means that we need to divide both sides by 200 to get a singular gallon's worth of miles traveled. 200/200 is 1, and 25/200 is 0.125.

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Extra

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<u><em>IF</em></u> it were how many gallons per mile, you would divide both answers by 25 resulting in <u>8 gallons per mile.</u>

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4 years ago

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Question 14

Valentin [98]

Answer:

<h3>The answer is 52.5 </h3>

Step-by-step explanation:

To find 15% of 350 inches multiply 15/100 and 350 to find the value

That's

$\frac{15}{100} \times 350 \\ \\ = \frac{3}{20} \times 350 \:$

We have the final answer as

52.5 inches

Hope this helps you

5 0

3 years ago