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DaniilM [7]
2 years ago
11

When simplified and written in standard form, which quadratic function is equivalent to the polynomial shown?

Mathematics
1 answer:
mars1129 [50]2 years ago
3 0

Answer:

2c^2 - 2c - 3

Step-by-step explanation:

Next time, please share the answer choices.  Thank you.

Group together the 'c' terms in 2 + 7c – 4c2 – 3c + 4:

                                                     2  + 4c and -4c^2 + 4  Then we have:

-4c^2 + 4c + 6

We should reduce this by factoring -2 out of all three terms:

2c^2 - 2c - 3  This is the desired quadratic in standard form.

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Jeremy bought 3.2 pounds of potatoes, 2.3 pounds of oranges, and 2.7 pounds of onions. How many pounds does his purchase weigh?
stepladder [879]
His purchase weighed a total of 8.2 pounds.
4 0
3 years ago
Read 2 more answers
Express this to single logarithm
zzz [600]

Answer:  \log_{2}\left(\frac{q^2\sqrt{m}}{n^3}\right)

We have something in the form log(x/y) where x = q^2*sqrt(m) and y = n^3. The log is base 2.

===========================================================

Explanation:

It seems strange how the first two logs you wrote are base 2, but the third one is not. I'll assume that you meant to say it's also base 2. Because base 2 is fundamental to computing, logs of this nature are often referred to as binary logarithms.

I'm going to use these three log rules, which apply to any base.

  1. log(A) + log(B) = log(A*B)
  2. log(A) - log(B) = log(A/B)
  3. B*log(A) = log(A^B)

From there, we can then say the following:

\frac{1}{2}\log_{2}\left(m\right)-3\log_{2}\left(n\right)+2\log_{2}\left(q\right)\\\\\log_{2}\left(m^{1/2}\right)-\log_{2}\left(n^3\right)+\log_{2}\left(q^2\right) \ \text{ .... use log rule 3}\\\\\log_{2}\left(\sqrt{m}\right)+\log_{2}\left(q^2\right)-\log_{2}\left(n^3\right)\\\\\log_{2}\left(\sqrt{m}*q^2\right)-\log_{2}\left(n^3\right) \ \text{ .... use log rule 1}\\\\\log_{2}\left(\frac{q^2\sqrt{m}}{n^3}\right) \ \text{ .... use log rule 2}

8 0
2 years ago
Solve for p.
Marat540 [252]
Hi there

3(p + q) = q
Solve for P

Use the distributive property
(3)(p) + (3)(q) = q
3p + 3q = q
3p = q-3q
3p = -2q
p = -2q/3

The answer is D

If you have any further questions please let me know :)
8 0
3 years ago
Read 2 more answers
18 questions answered correctly on a test. that is 75% of the total number of questions. How many questions were on the test?
adelina 88 [10]

Answer:

24 = questions on test

Step-by-step explanation:

Questions answered correctly = questions on test * percent answered correctly


We know that she answered 18 correctly and that 75% were answered correctly

Substitute this information into the equation

18 = questions on test *.75

Divide by .75 on each side

18/.75 = questions on test *.75/.75

24 = questions on test

7 0
3 years ago
Use the perfect square method <br> (3x + 3)^2 = 36
kkurt [141]

Factor out the common term; 3

(3(x + 1))^2 = 36

Use the Multiplication Distributive Property; (xy)^a = x^ay^a

3^2(x + 1)^2 = 36

Simplify 3^2 to 9

9(x + 1)^2 = 36

Divide both sides by 9

(x + 1)^2 = 36/9

Simplify 36/9 to 4

(x + 1)^2 = 4

Take the square root of both sides

x + 1 = √4

Since 2 * 2 = 4, the square root of 2 is 2

x + 1 = 2

Break down the problem into these 2 equations

x + 1 = 2

x + 1 = -2

Solve the first equation; x + 1 = 2

x = 1

Solve the second equation; x + 1 = -2

x = -3

Collect all solutions;

<u>x = 1, -3</u>

8 0
3 years ago
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