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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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Shay mal e 8 2/3 cups of snacks mix she puts all the snack mix into plastic bags she puts 1/3 cup of the snack mix in each bag h
AnnyKZ [126]

Answer:

She needs 26 plastic bags.

Step-by-step explanation:

Given:

Amount of cups of snacks mix = 8 2/3

Rewriting 8 2/3 we get,

Amount of snacks mix = \frac{26}{3}

Number of Cups in each bag = \frac{1}{3}

She puts all the snacks mix in plastic bags

We need to find the number of plastic bags required to put all the snacks mix

Let number of plastic bag be x.

hence we can say that Number of Cups in each bag multiplied by number of plastic bag is equal to  Amount of snacks mix.

\frac{1}{3}x=\frac{26}{3}\\\\x= \frac{26\times3}{3\times1} =26

Hence total number of plastic bags she needs is 26.

6 0
3 years ago
Which shapes can be drawn with two opposite angles equal to 105°
sertanlavr [38]

Answer:

see the explanation

Step-by-step explanation:

we know that

A shape with two opposite angles equal to 105° could be a quadrilateral, a parallelogram, a rhombus or a trapezoid

Because

<em>A quadrilateral</em>: A quadrilateral is a four-sided polygon. The sum of the interior angles in any quadrilateral must be equal to 360 degrees

so

If the quadrilateral have two opposite angles equal to 105°, then the sum of the other two interior angles must be equal to

360^o-2(105^o)=150^o

<em>A parallelogram</em>: A Parallelogram is a flat shape with opposite sides parallel and equal in length. Opposite angles are congruent and consecutive angles are supplementary

so

If the parallelogram have two opposite angles equal to 105°, then the measure of each of the other two congruent interior angles must be equal to

180^o-105^o=75^o

<em>A rhombus</em>: A Rhombus is a flat shape with 4 equal straight sides. A rhombus looks like a diamond. All sides have equal length. Opposite sides are parallel. Opposite angles are congruent and consecutive angles are supplementary

so

If the Rhombus have two opposite angles equal to 105°, then the measure of each of the other two congruent interior angles must be equal to

180^o-105^o=75^o

<em>A trapezoid</em>: A trapezoid is a 4-sided flat shape with straight sides that has a pair of opposite sides parallel

so

If the trapezoid have two opposite angles equal to 105°, then the sum of the other two interior angles must be equal to

360^o-2(105^o)=150^o

4 0
2 years ago
4. Mario was asked to find the GCF of 15, 30, and 45. What number did he find? A. 15 C. 45 B. 30 D. 60
SVETLANKA909090 [29]
4. is A 15
5. is C 12
6. is B 4, 8, 12, 16

hope this helps :)
7 0
2 years ago
Read 2 more answers
URGENT!
serg [7]

Answer:

number one is the appropriate answer for this question

7 0
3 years ago
Read 2 more answers
Noah loves the Half-Tens facts and often uses them to solve multiplication problems. Make up a 2-digit by 3-digit multiplication
Stells [14]

Half Tens is a way of multiplying where we have to find the value of given numbers. First we double any 'one' of the two given numbers and multiply both to get an answer. Then we divide that answer by '2' to get the answer.

Lets take two numbers as 16 and 340

16\times340=?

Double the number 16

32\times340=10880

Now we will divide this by 2

\frac{10880}{2}= 5440

So, if we check 16\times340=? , it is 5440.

Similarly if we double the number 340, we get 680

Now, 16\times680=10880

And 10880/2 = 5440

Hence, in both ways the answer is 5440.

6 0
3 years ago
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