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vodomira [7]
3 years ago
9

Find the missing factor 4b^2+17b+15+(b+3)()

Mathematics
1 answer:
NeX [460]3 years ago
5 0
<span>Simplifying 5 + -1b = 0 Solving 5 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1b = 0 + -5 -1b = 0 + -5 Combine like terms: 0 + -5 = -5 -1b = -5 Divide each side by '-1'. b = 5 Simplifying b = 5Solutionb = {-0.75, 5} So i think the missing factors are -.75 and 5.</span>
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Evaluate the limit, if it exists.<br> lim (h - &gt; 0) ((-7 + h)^2 - 49) / h
baherus [9]

Expand everything in the limit:

\displaystyle\lim_{h\to0}\frac{(-7+h)^2-49}h=\lim_{h\to0}\frac{(49-14h+h^2)-49}h=\lim_{h\to0}\frac{h^2-14h}h

We have h approaching 0, and in particular h\neq0, so we can cancel a factor in the numerator and denominator:

\displaystyle\lim_{h\to0}\frac{h^2-14h}h=\lim_{h\to0}(h-14)=\boxed{-14}

Alternatively, if you already know about derivatives, consider the function f(x)=x^2, whose derivative is f'(x)=2x.

Using the limit definition, we have

f'(x)=\displaystyle\lim_{h\to0}\frac{f(x+h)-f(x)}h=\lim_{h\to0}\frac{(x+h)^2-x^2}h

which is exactly the original limit with x=-7. The derivative is 2x, so the value of the limit is, again, -14.

4 0
3 years ago
Olivia and her three siblings bring a sack lunch to school each day, consisting of a bagel, an apple, a cookie, and a juice box.
yanalaym [24]

Answer:

72

Step-by-step explanation:

Find the LCM

6=2x3

8=2x2x2

9=3x3

12=2x2x3

LCM=2³x3²

       =72

4 0
2 years ago
Y=−2x+7 and y=0.5x−5.5 point of intersection
Tema [17]

Answer:

(5, -3)

Step-by-step explanation:

Substitute -2x + 7 for y in the 2nd equation, and then solve the resulting equation for x:

-2x + 7 = 0.5x - 5.5

Combining like terms, 2.5x = 12.5, or x = 5.

Subbing 5 for x in the first equation, we get:  y = -2(5) + 7 => y = -3

The solution is (5, -3)

3 0
2 years ago
Need help plz!!!?!?!?!?
Kipish [7]

Answer:

54yd

Step-by-step explanation:

Area for the rectangle=8×6

=48yrd

area for the triangle=1/2×4×3

=6yd

Total area=48+6=54yd

3 0
3 years ago
A 20.5 gallon fish tank is 4/5 full. how many more gallons will it take to fill the tank
Over [174]

Answer:

4.1

Step-by-step explanation:

(4/5) * 20.5 = 16.4

20.5 - 16.4 = 4.1

8 0
3 years ago
Read 2 more answers
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