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Whitepunk [10]
3 years ago
15

Consider the polynomial 9x2 – 16. What is the value of ac? What is the value of b? What two numbers multiply to get ac and add t

o get b? The factored form of 9x2 – 16 is
Mathematics
2 answers:
Natalija [7]3 years ago
9 0

Answer:


Step-by-step explanation:

The answer to the very last question, what is the factored form of 9x2-16 is

(3x-4)(3x+4)




olya-2409 [2.1K]3 years ago
3 0
9x² - 16 = (3x - 4) (3x + 4)
A      C

The value of ac together is 16(9x²) or 144x²

The value of B is zero, since there is no B (b is x, (note not x², but only 1 x))


hope this helps
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Solve the equation square root 2x – 7 + x = 5 algebraically, and justify the solution set
yarga [219]

Answer: x=4

Step-by-step explanation:

2x-7+x=5

Group like terms:

\left(2x+x\right)-7=5

Simplify the arithmetic:

3x-7=5

Add 7 to both sides:

3x-7+7=5+7

Simplify the arithmetic:

3x=5+7

Simplify the arithmetic:

3x=12

Divide both sides by 3:

\frac{3x}{3}=\frac{12}{3}

Simplify the fraction:

x=\frac{12}{3}

Find the greatest common factor of the numerator and denominator:

x=\frac{4\cdot 3}{1\cdot 3}

Factor out and cancel the greatest common factor and the answer will be:

x=4

5 0
2 years ago
There are 64 animals at the zoo. ⅜ of the animals are birds. How many birds are at the zoo?
xxTIMURxx [149]

Answer:

24

Step-by-step explanation:

3/8 of the 64 total animals at the zoo are birds.

To solve, this, multiply 3/8 and 64

3/8*64=24

Another way to solve would be to make a proportion

3/8=x/64

Multiply both sides by 64 to get x by itself

64(3/8)=(x/64)64

24=x

So, 24 out of the 64 animals are birds

5 0
4 years ago
Read 2 more answers
Find the area of the shaded polygon
Mars2501 [29]

Answer:

372

Step-by-step explanation:

area of trapezium = a+b/2 * h

a is the length on top

b is the length on the bottom

h is the height

7+24/2*24=

=372

6 0
2 years ago
Find the volume of the cube.
iren [92.7K]

Answer:

60 cm & 60 mL

Hope this helps! Let me know if this is right or not.

8 0
3 years ago
If $300 is invested at a rate of 6% per year and is compounded quarterly, how much will the investment be worth in 12 years?
MAXImum [283]

Answer:

$613.04

Step-by-step explanation:

<em>Compound Interest Formula:</em>

   A = P(1+\frac{r}{n})^{nt}

   n = number of compounds

   t = time

   r = interest rate

   P = principle amount (original amount)

   A = final amount

Since it's compounded quarterly, that means there will be 4 compounds per year, so n=4. The interest rate has to be converted to the decimal value, and this is done by simply dividing it by 100 to get r=0.06.

Plug Values into equation:

A = 300(1+\frac{0.06}{4})^{12*4}

Simplify inside parenthesis

A = 300(1.015)^{48}

Calculate exponent

A \approx 300(2.043478)

Multiply values

A \approx 613.04348

Round

A = 613.04

7 0
2 years ago
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