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3 years ago

Simplify the rational expression. State any restrictions on the variable. Please HELP

Mathematics

1 answer:

Eva8 [605]3 years ago

7 0

Answer:

(b) t-4 and t not equal 8

Step-by-step explanation:

$\frac{t^2-4t-32}{t-8}=\frac{(t+4)(t-8)}{t-8}=t+4\,\,\mbox{with}\,\,\,\,\,t-8\neq0\implies t\neq 8$

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The product of a number and 7 is 6.

astraxan [27]

Answer:

0,8571

Step-by-step explanation:

7 ÷ 6 = 0,8571

7 · 0,8571 = 5,9997 ≈ 6

3 0

2 years ago

Ashwin helps paint a square mural in his classroom. Then he helps paint a mural in the hallway whose length is 7 feet longer and

Serhud [2]

Ashwin paints 2 murals:

A square mural in his classroom
A mural in the hallway with length 7 feet longer and width 3 feet shorter

Also, x indicates the side length of the mural in the classroom. Since the classroom mural is square in shape, the length and breadth of the mural would be x.

Part A: Expression to represents the two binomials to be multiplied to find the area of the hallway mural

Area of the hallway mural = Length of the hallway mural × Breadth of the hallway mural

So Length of the hallway mural = Length of the classroom mural + 7

⇒ Length of the hallway mural = x + 7

Breadth of the hallway mural = Breadth of the classroom mural - 3

⇒ Breadth of the hallway mural = x - 3

Hence, x + 7 and x - 3 need to be multiplied to determine the area of the mural

Part B: Area of the hallway mural

Area of the hallway mural = Length of the hallway mural × Breadth of the hallway mural

⇒ Area of the hallway mural = (x + 7) × (x-3)

⇒ Area of the hallway mural = x² + 7x - 3x - 21

⇒ Area of the hallway mural = x² + 4x - 21

Part C: Area of the hallway mural if each side of the classroom mural is 8 foot long

Putting the value x = 8 in the answer of Part B

⇒ Area of the hallway mural = 8² + 4×8 - 21

⇒ Area of the hallway mural = 64 + 4×8 - 21

⇒ Area of the hallway mural = 64 + 32 - 21

⇒ Area of the hallway mural = 75 square feet

3 0

3 years ago

Read 2 more answers

The diameter of a circle is 20m <br> Find the circumference to the nearest tenth

Mnenie [13.5K]

Answer:

C = 62.8 m

Step-by-step explanation:

The circumference formula is C = πd.

Here d = 20 m. Therefore, the circumference of this circle is C = (20 m)π.

To the nearest 10th, we round off C = (20 m)(3.14159) = C = 62.8 m

8 0

3 years ago

PLEASE HELP DONT ANSWER IF YOU DONT KNOW....

Damm [24]

Answer:

5.7 Round it and you will get that

4 0

3 years ago

Read 2 more answers

Answer in factored form x^2+11x+7

KATRIN_1 [288]

X² <span>+ 11x + 7

because 7 is a prime number, this doesn't factor prettily. you'll want to use the quadratic formula; if you aren't familiar with it, i'd either research it or look it up in your textbook, because it's clunky and not easily understood in this format:

(-b </span>± √((b)² - 4ac))/(2a)

in your equation x² + 11x + 7 ... a = 1, b = 11, and c = 7. what you do is you take the coefficients of every term, then plug it into your equation:
(-11 ± √((11)² - 4(1)(7))/(2(1))

not pretty, i know. but, regardless, you can simplify it:
(-11 ± √((11)² - 4(1)(7))/(2(1))
(-11 ± √(121 - 28))/2
(-11 ± √93)/2

and you can't simplify it further. -11 isn't divisible by 2, and 93 doesn't have a perfect square that you can take out from beneath the radical. the ± plus/minus symbol indicates that you have 2 answers, so you can write them out separately:

(x - (-11 - √93)/2) and (x + (-11 - √93)/2)

they look confusing, but those are your two factors. they can be simplified just slightly by changing the signs in the middle due to the -11:

(x + (11 + √93)/2) (x - (11 - √93)/2)

and how these would read, just in case the formatting is too confusing for you: x plus the fraction 11 + root 93 divided by 2. the 11s and root 93s are your numerator, 2s are your denominator.

7 0

3 years ago