Factor x2 + 11x + 24A. (x + 6)(x + 4)
B. (x + 2)(x + 12)
C. (x + 3)(x + 8)
D. (x + 1)(x + 11)

Factor 2m2 + 27m + 70

A. (2m + 7)(m + 10)
B. (m + 10)(2m + 7)
C. (2m + 3)(m + 20)
D. (2m + 7)(m – 10)

Factor g2 – 64

A. (g – 1)(g + 64)
B. (g + 8)(g – 8)
C. (g – 8)(g – 8)
D. (g + 8)(g + 8)

Factor 49t2 – 9

A. (7t + 3)(7t + 3)
B. (7t + 3)(–7t – 3)
C. (7t + 3)(7t – 3)
D. 7t – 3

The area of a rectangular field is given by the trinomial t2 – 4t – 45. The length of the rectangle is t + 5. What is the expression for the width of the field?

A. t – 9
B. t – 5

Answers

Answer 1

Answer: Hello,

1) x²+11x+24=x²+8x+3x+24=x(x+8)+3(x+8)=(x+8)(x+3) ANSWER C

2)2m²+27m+70=2m²+20m+7m+70=2m(m+10)+7(m+10)
=(m+10)(2m+7) ANSWER A

3)g²-64=(g-8)(g+8) ANSWER B

4) 49t²-9=(7t-3)(7t+3) answer C

5)
t²-4t-45=t²+5t-9t-45=t(t+5)-9(t+5)=(t+5)(t-9)

l=t+5
==>w=t-9
answer A

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Add the fractions and simplify the answer: 1/2 + 2/3

Answers

The simplification of the fraction would be; 7/6.

What is a fraction?

A fraction represents a part of a number or any number of equal parts. There is a fraction, containing numerator(upper value) and denominator(lower value).

Therefore, first convert the denominator (bottom n umber) to the same number.

1/2 and 2/3 then the numbers are 2 and 3

the least common multiple is 6

To convert is multiply each by bottom number of the other over the other;

1/2 +2/3

1/2 x 3/3 + 2/3 x 2/2

3/6 + 4/6

(7)/6

7/6

Hence, the simplification of the fraction would be; 7/6.

Learn more about fraction;

brainly.com/question/729654

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Whats the answer to 45=x(14-x)

Answers

$45=x(14-x)\n \n45=14x-x^2\n \nx^2-14x+45=0\n \n\Delta = b^(2)-4ac = (-14)^(2)-4*1* 45=196-180=16 \n \nx_(1)=(-b-√(\Delta ))/(2a) =(14- √(16))/(2)=(14-4)/(2)= (12)/(2)=6\n \nx_(2)=(-b+√(\Delta ))/(2a) =(14+√(16))/(2)=(14+4)/(2)= (18)/(2)=9$

$45=x(14-x)\n\n45=x\cdot14-x\cdot x\n\n45=14x-x^2\n\n-x^2+14x-45=0\n\na=-1;\ b=14;\ c=-45\n\n\Delta=b^2-4ac;\ \Delta=14^2-4\cdot(-1)\cdot(-45)=196-180=16\n\nx_1=(-b-\sqrt\Delta)/(2a);\ x_2=(-b+\sqrt\Delta)/(2a)\n\nx_1=(-14-√(16))/(2\cdot(-1))=(-14-4)/(-2)=(-18)/(-2)=9\n\nx_2=(-14+√(16))/(2\cdot(-1))=(-14+4)/(-2)=(-10)/(-2)=5$

$Answer:x=9\ or\ x=5.$

What is the difference 4y/xy - 2x/xy^3

Answers

$(4y)/(xy)-(2x)/(xy^3)=(4)/(x)-(2)/(y^3)\n\n\n(4y)/(xy)-(2x)/(xy^3)=(4y^3)/(xy^3)-(2x)/(xy^3)=(4y^3-2x)/(xy^3)$

Hi Kally

Here is what I was able to come up!

4/x-2/x^2y^3

Double check it ok...

John drives 90 miles in 2 hours. If he continues to travel at this speed, how long will it take him to travel 325 miles?