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Svetllana [295]
3 years ago
14

Which expression is equivalent to the expression below?

Mathematics
2 answers:
densk [106]3 years ago
7 0

Answer:

C. \dfrac{1}{(m-4)(m-3)}

Step-by-step explanation:

First note that

m^2-16=(m+4)(m-4) \quad \text {and} \quad m^2-9=(m+3)(m-3)

On the other hand, the expression from the question is equivalent to

\dfrac{m+3}{m^2-16} \cdot \dfrac{m+4}{m^2-9}=\dfrac{m+3}{(m+4)(m-4)}\dfrac{m+4}{(m+3)(m-3)}

we cancel the equal terms in the numerator and the denominator and finally we get that our expression is equivalent to

\dfrac{1}{(m-4)(m-3)}

igor_vitrenko [27]3 years ago
6 0
It is the last answer you can tell by simplyfiying
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Solve the inequality.<br> y + 11 &lt;-3<br> The inequality is____<br> Pls help:/
BartSMP [9]

Answer:

-14

Step-by-step explanation:

step 1:

Subtract 11 from both sides.

y+11−11<−3−11

y<−14

8 0
3 years ago
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Ms. Sanches and Mr. Brown went to Chuckie Cheese’s. Ms. Sanches had 567 tokens, and Mr. Brown had 432 tokens. Rounded to the nea
ryzh [129]

Answer:

Rounded to the nearest hundred, Ms. Sanshes had about 200 more tokens than Mr. Brown

Step-by-step explanation:

567=600 (rounded)

432=400 (rounded)

600-400=200 tokens

7 0
4 years ago
(01.05) Use the graph below to answer this question: graph of line going through negative 1, 4 and 2, 0 Find the average rate of
dsp73

1) Find the graph of a line passing through (-1, 4) and (2, 0).

The slope of two points can be determined by dividing the difference of y-values by the difference of x-values:

\frac{4-0}{-1-2} =\frac{4}{-3}

The slope of this equation is -4/3. Inputting this into the slope-intercept form of an equation, we get:

y=\frac{-4}{3} x+b

To find b, substitute x and y for one of the given coordinate pairs:

0 = (-4/3)(2) + b

0 = -8/3 + b

8/3 = b

Substitute the b value into the equation to finish the line:

y=\frac{-4}{3} x+\frac{8}{3}

4 0
3 years ago
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Min knows that Pi times r = 9.42 centimeters. What would she need to do to find the area?
Alinara [238K]

Answer:

The area of the circle is 28.26.

Step-by-step explanation:

πr =9.42

Using that, we can find the radius, which will help us find the area of the circle.

9.42/π = 3 (I used 3.14 for π)

The formula for area of a circle is:

πr^2

Plug our values in.

π(3^2)

9π

28.26

The area of the circle is 28.26.

To sum, Min would need to first figure out the radius of the circle, and then use the radius to find the area of the circle. She can figure out the radius by dividing 9.42 by π, and find the area with the formula πr^2.

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4 years ago
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Consider two functions: g(x)=−x2−6x and the quadratic function ​f(x)​ shown in the table.
S_A_V [24]

Answer:

Hence average rate of change is greater for f(x) in (0,3).

Yes. f(x) is greater than g(x) in the interval (0,3)

Yes. g(3) <f(3)


Step-by-step explanation:

To find average rate of change of f and g in (0,3)

f(3)-f(0)/3 = (9-0)/3 =3

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Rate of change in(0,3) of g(x) = -27/3 =-9

Hence average rate of change is greater for f(x) in (0,3)

---

Both f and g have intercepts of y as 0

Hence both are equal.

3) Yes. f(x) is greater than g(x) in the interval (0,3)

Because g(x) <0 for all x in (0,3) while f(x) >0

4) g(3)= -9-18=-27 <f(3)



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4 years ago
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