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Anestetic [448]
3 years ago
10

Help asap

Mathematics
2 answers:
labwork [276]3 years ago
6 0

Answer: The correct option is last, i.e., 8 over quantity x minus 11, x ≠ 2, x ≠ 11.

Explanation:

The given expression is,

\frac{8x-16}{x^2-13x+22}

Use factoring method to factorise the denominator.

\frac{8x-16}{x^2-13x+22}=\frac{8(x-2)}{x^2-11x-2x+22}

\frac{8x-16}{x^2-13x+22}=\frac{8(x-2)}{x(x-11)-2(x-11)}

\frac{8x-16}{x^2-13x+22}=\frac{8(x-2)}{(x-11)(x-2)}

The factors of denominator are (x-11) and (x-2), therefore the function is not defined for x=11 and x=2.

Cancel out the common factor (x-2).

\frac{8x-16}{x^2-13x+22}=\frac{8}{x-11}

Therefore, the simplified form of the given expression is 8 over quantity x minus 11, x ≠ 2, x ≠ 11, So the last option is correct.

seropon [69]3 years ago
5 0
1) (8x-16) / (x²-13x+22) = (8x-16) / (x-11)(x-2)= 8(x-2)/(x-11)(x-2) = 8/(x-11)
Restriction x ≠ 11 & x ≠ 2

Since both values render the denominator = to Zero & we can't divide by 0
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Aleksandr [31]

Answer:

root 25

Step-by-step explanation:

root 25 is 5, and every other number may not be able to be written as a whole number (please give brainliest)

8 0
2 years ago
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Which of the following points is a vertex for the image produced by a dilation about the origin with a scale factor of 1/2?
MA_775_DIABLO [31]

Answer:

A (0,3)

Step-by-step explanation:

The given trapezoid has vertices:

(0,6), (7,12), (7,9) and (0,12).

We want to choose from the given options, a point that is a vertex for the image produced by a dilation about the origin with a scale factor of 1/2.

Note that the mapping for such a dilation is:

(x,y)\to( \frac{1}{2} x, \frac{1}{2} y)

This implies that:

(0,6)\to(0,3)

(7,12)\to(3.5,6)

(7,9)\to(3.5,4.5)

(0,12)\to(0,6)

Therefore correct choice is (0,3)

8 0
3 years ago
Allentown got 2 feet less than twice the amount of snow Georgetown got . Allentown got 3 feet more snow than Georgetown. How man
Mandarinka [93]


x=2y-2

x=y+3

Substitute the second equation into the first

y+3=2y-2

solve for y

y=5

plug into original

x=y+3=5+3=8 or x=2(5)-2=8

Allentown got 8 ft of snow, Georgetown got 5 ft of snow.

4 0
3 years ago
Read 2 more answers
14 bugs are crawling on the steps. Some of the bugs are black, and 4 are
docker41 [41]

Answer:

b  = 14-4

Step-by-step explanation:

Let the number of black bugs be b

Let the number of green bugs be g

If 14 bugs are crawling on the step, then;

b + g = 14 ....1

If there are 4 green bugs, then g = 4

Substitute g = 4 into the equation

b + g = 14

b + 4 = 14

b = 14 - 4

Hence the sentence that can be required to find the number of black bugs is b  = 14-4

8 0
3 years ago
Find the volume of the pyramid.
lana66690 [7]

Answer:

140

Step-by-step explanation:

B=35

1/3 (35)(12)

= 140

6 0
3 years ago
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