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Scorpion4ik [409]
3 years ago
5

It says factor 49x-28

Mathematics
2 answers:
schepotkina [342]3 years ago
7 0
The x is just a variable. It is basically 49-28.
kvasek [131]3 years ago
6 0

Answer:

7(7x-4)

Step-by-step explanation:

We can factor a 7 from each term

49x = 7*7x

28 = 7*4

49x -28

7(7x-4)

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Determine any asymptotes (Horizontal, vertical or oblique). Find holes, intercepts and state it's domain.
vesna_86 [32]

Factorize the denominator:

\dfrac{x^2-4}{x^3+x^2-4x-4}=\dfrac{x^2-4}{x^2(x+1)-4(x+1)}=\dfrac{x^2-4}{(x^2-4)(x+1)}

If x\neq\pm2, we can cancel the factors of x^2-4, which makes x=-2 and x=2 removable discontinuities that appear as holes in the plot of g(x).

We're then left with

\dfrac1{x+1}

which is undefined when x=-1, so this is the site of a vertical asymptote.

As x gets arbitrarily large in magnitude, we find

\displaystyle\lim_{x\to-\infty}g(x)=\lim_{x\to+\infty}g(x)=0

since the degree of the denominator (3) is greater than the degree of the numerator (2). So y=0 is a horizontal asymptote.

Intercepts occur where g(x)=0 (x-intercepts) and the value of g(x) when x=0 (y-intercept). There are no x-intercepts because \dfrac1{x+1} is never 0. On the other hand,

g(0)=\dfrac{0-4}{0+0-0-4}=1

so there is one y-intercept at (0, 1).

The domain of g(x) is the set of values that x can take on for which g(x) exists. We've already shown that x can't be -2, 2, or -1, so the domain is the set

\{x\in\mathbb R\mid x\neq-2,x\neq-1,x\neq2\}

8 0
3 years ago
Can someone step by step explain the answer please
Vinvika [58]

Answer: z = \sqrt{10}

Step-by-step explanation:

To find <em>z</em>, you must set up a proportion to solve.

To find the altitude of a special right triangle, the formula is:

\frac{a}{x} =\frac{x}{b}

You can use <em>5</em> as <em>a</em> and <em>2</em> as <em>b</em> to complete the proportion:

\frac{5}{z} =\frac{z}{2}

Next, to solve:

<u>Step 1</u>: Cross-multiply.

\frac{5}{z} =\frac{z}{2}

(5)*(2) = z*z

10 = z²

<u>Step 2</u>: Take square root.

10 = z²

√10 = z

I hope this helps!

8 0
2 years ago
The selling price of an item is $600. It is marked down by 30%, but this sale price is still marked up
Norma-Jean [14]

Answer:

7000

Step-by-step explanation:

divide 600 and 30 then multiply that answer by 350

7 0
3 years ago
Jacki evaluated the expression below.
Maru [420]

Answer: Jacki did not subtract 12 from 8 correctly

Step-by-step explanation: it should be -4

5 0
2 years ago
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A rectangular garden has an area of 22 square feet. If its length is 7 feet less than twice its​ width, find the dimensions of t
DedPeter [7]

Answer: Width is 5.5 ft, length is 18 ft

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