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3 years ago

Determine parallel, perpendicular, or neither!

Mathematics

1 answer:

Leviafan [203]3 years ago

6 0

Rearrange Line 1 and Line 3’s equations in the form of y = mx + c for easier comparison.

Lines 1 and 2 are parallel, because they have the same gradient.

Lines 1 and 3, and 2 and 3 are neither, because their gradients do not multiply to form -1.
(Gradients of perpendicular lines multiply to form -1.) c

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Estimate the sum<br><br>9/50 + 7/15<br>A.0<br>B.1/2<br>C.1

vladimir1956 [14]

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0.2 + 0.5 = 0.7
0.7 is closer to 0.5 than 1
The answer would be B

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2 years ago

Order the cities in the table from least to greatIest distance from sea level

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3 years ago

How much interest will be earned on a $6,000 investment at 2.25% for 5 years. Round to the

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3 years ago

If a(x) = 3x + 1 and b(x)= squareroot x-4, what is the domain of (b*a)(x)?

oksano4ka [1.4K]

$\boxed{ \ x \geq 1 \ }$ or can be written as $\boxed{ \ [1, \infty) \ }$

<h3>Further explanation</h3>

This is a question about the composition of functions and how to get a domain function.

Given $\boxed{ \ a(x) = 3x + 1 \ }$ and $\boxed{ \ b(x) = \sqrt{x - 4} \ }$ .

We will form (b o a)(x) and then determine the domain.

$\boxed{ \ (b \circ a)(x) = b(a(x)) \ }$

Replace each appearance of x in b(x) with $\boxed{ \ a(x) = 3x + 1 \ }$ .

$\boxed{ \ (b \circ a)(x) = \sqrt{(3x + 1) - 4} \ }$

Thus, $\boxed{ \ (b \circ a)(x) = \sqrt{3x - 3} \ }$

To be defined, the value under the radical sign must not be negative. Therefore, the domain of $(b \circ a)(x) = \sqrt{3x - 3}$ are processed as follows.

$\boxed{ \ 3x - 3 \geq 0 \ }$

Both sides added by 3.

$\boxed{ \ 3x \geq 3 \ }$

Both sides divided by 3.

$\boxed{ \ x\geq 1 \ }$

Thus, the domain of $(b \circ a)(x) = \sqrt{3x - 3}$ is $\boxed{ \ x \geq 1 \ }$ or can be written as $\boxed{ \ [1, \infty) \ }$

<h3>Learn more</h3>

If f(x) = x² – 2x and g(x) = 6x + 4, for which value of x does (f o g)(x) = 0? brainly.com/question/1774827
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Keywords: composition of function, if a(x) = 3x + 1, and, b(x) = √(x-4), what is the domain of, (b o a)(x), b(a(x)), defined, the value, under the radical sign, must not be negative,

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3 years ago

Read 2 more answers