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Ganezh [65]
3 years ago
13

Simplify the given expression. (4x2squared-15x-21)+3x2squared-10)

Mathematics
1 answer:
Bess [88]3 years ago
4 0

Answer:

7x^{2} - 15x -31

Step-by-step explanation:

(4x^{2} - 15x -21) + 3x^{2}  - 10 = 4x^{2} + 3x^{2} - 15x -21  - 10 = 7x^{2} - 15x -31

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kicyunya [14]

g(t) = t - 2\\h(t) = 3t + 3\\(g \circ h)(t) = g(h(t)) = (3t + 3) - 2 = 3t + 3 - 2 = 3t + 1

6 0
3 years ago
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Select correct answer
Sergio [31]

Answer:

The values of p in the equation are 0 and 6

Step-by-step explanation:

First, you have to make the denominators the same. to do that, first factor 2p^2-7p-4 = \left(2p+1\right)\left(p-4\right)2p

2

−7p−4=(2p+1)(p−4)

So then the equation looks like:

\frac{p}{2p+1}-\frac{2p^2+5}{(2p+1)(p-4)}=-\frac{5}{p-4}

2p+1

p

−

(2p+1)(p−4)

2p

2

+5

=−

p−4

5

To make the denominators equal, multiply 2p+1 with p-4 and p-4 with 2p+1:

\frac{p^2-4p}{(2p+1)(p-4)}-\frac{2p^2+5}{(2p+1)(p-4)}=-\frac{10p+5}{(p-4)(2p+1)}

(2p+1)(p−4)

p

2

−4p

−

(2p+1)(p−4)

2p

2

+5

=−

(p−4)(2p+1)

10p+5

Since, this has an equal sign we 'get rid of' or 'forget' the denominator and only solve the numerator.

(p^2-4p)-(2p^2+5)=-(10p+5)(p

2

−4p)−(2p

2

+5)=−(10p+5)

Now, solve like a normal equation. Solve (p^2-4p)-(2p^2+5)(p

2

−4p)−(2p

2

+5) first:

(p^2-4p)-(2p^2+5)=-p^2-4p-5(p

2

−4p)−(2p

2

+5)=−p

2

−4p−5

-p^2-4p-5=-10p+5−p

2

−4p−5=−10p+5

Combine like terms:

-p^2-4p+0=-10p−p

2

−4p+0=−10p

-p^2+6p=0−p

2

+6p=0

Factor:

p=0, p=6p

7 0
2 years ago
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finlep [7]
Kill me please I'm ugly
4 0
2 years ago
30 POINTS!!!Which of the following shows the polynomial below written in descending
Zigmanuir [339]

Answer:

d

Step-by-step explanation:

it should be the one with the greatest power to the lowest power If I remember correctly.

5 0
3 years ago
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An enterprise rents out paddle boats for all-day use on a lake. The owner knows that he can rent out all 40 of his paddleboats i
PSYCHO15rus [73]

Answer:

<u>The owner's total revenue would be</u><u> $204</u><u> if he charged $6 for each paddle boat rental.</u>

Step-by-step explanation:

The owner has a total of 40 paddle boats and he can rent out all of them if he charges $3 per paddle boat. For each extra dollar, the number of paddle boats will decrease by 2. So, if he charges $6 (3 extra dollars) for each rental he can rent out:

40 - (3 x 2)

= 40 - 6

= 34 paddle boats.

The total revenue can be calculated by multiplying the number of paddle boats rented by the rent price per paddle boat.

Total Revenue = 34 x 6

                        = $204

<u>The owner's total revenue would be</u><u> $204</u><u> if he charged $6 for each paddle boat rental.</u>

4 0
3 years ago
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