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baherus [9]
2 years ago
13

Simplify (4x^2-7x+14)(3x+5x^2-6) Please show work

Mathematics
1 answer:
tatiyna2 years ago
4 0

Answer:

-23x^3+20x^4+25x^2+84x-84

Step-by-step explanation:

1 Expand by distributing sum groups.

4x^2(3x+5x^2-6)-7x(3x+5x^2-6)+14(3x+5x^2-6)

2 Expand by distributing terms.

12x^3+20x^4-24x^2-7x(3x+5x^2-6)+14(3x+5x^2-6)

3 Expand by distributing terms.

12x^3+20x^4-24x^2-(21x^2+35x^3-42x)+14(3x+5x^2-6)

4 Expand by distributing terms.

12x^3+20x^4-24x^2-(21x^2+35x^3-42x)+42x+70x^2-84

5 Remove parentheses.

12x^3+20x^4-24x^2-21x^2-35x^3+42x+42x+70x^2-84

6 Collect like terms.

(12x^3-35x^3)+20x^4+(-24x^2-21x^2+70x^2)+(42x+42x)-84

7 Simplify.

-23x^3+20x^4+25x^2+84x-84

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3 years ago
I need help setting up my problem
Genrish500 [490]

The measure of angle A is 144.3 degrees and the angle to cut the molding is 54.3 degrees

<h3>How to solve for angle A?</h3>

Start by solving the acute part of angle A using the following sine function

sin(Ax) = (30 - 4)/32

Evaluate the quotient

sin(Ax) = 0.8125

Take the arc sin of both sides

Ax = 54.3

The measure of angle A is then calculated as:

A = 90 + Ax

This gives

A = 90 + 54.3

Evaluate

A = 144.3

Hence, the measure of angle A is 144.3 degrees

<h3>The angle to cut the molding</h3>

In (a), we have:

Ax = 54.3

This represents the angle where the molding would be cut

Hence, the angle to cut the molding is 54.3 degrees

Read more about angles at:

brainly.com/question/1592456

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4 0
1 year ago
Which expression is equivalent to 8a + 14?<br> 2(2a + 12)<br> 4(4a + 10)<br> 4(2a+8)<br> 2(4a +7)
inessss [21]

Answer is D, 2(4a + 7.)

A is equivalent to 4a + 24.

B is equivalent to 16a + 40.

C is equivalent to 8a + 32.

⭐ Please consider brainliest! ⭐

✉️ If any further questions, inbox me! ✉️

7 0
3 years ago
Scientists measure a bacteria sample in a petri dish
zimovet [89]

Answer:

to grow bacterial cultures

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2 years ago
Whoever answers the questions correctly gets brainlist
andrew11 [14]

Answer:

2. B

3. B

4. 2(7k+5h)

5. $325

Step-by-step explanation:

2) "X decreased by the sum of 2x + 5" Decreased means to be lowered, so that means this problem has subtraction in it. It also says x is being decreased BY the sum of 2x + 5 so that means 2x + 5 needs to be solved, which calls for parentheses. B best fits the description.

3) It is B because if you distribute the 8 to 2a and 3b, you'll get 16a and 24b, which is the given expression.

4) The given expression is 10h + 14k and in the equivalent expression, you are given 5h. To get from 10 to 5, you must divide by 2. This tells you that 2 is being distributed, so you put 2 before the parentheses. Since you divided 10 by 2, you want to do the same to 14, which is 7. Therefore, it is 2(7k+5h).

5) You are given the hourly charge, which is $25. This means that they charge $25 per hour/for every hour. You want to find the cost for 13 hours, so you multiply the hourly charge by 13 hours. 25 x 13 = 325.

7 0
3 years ago
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