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Snezhnost [94]
3 years ago
8

What is the product of (2p + 7)(3p2 + 4p – 3)?

Mathematics
2 answers:
trapecia [35]3 years ago
5 0

Answer:

The product of the polynomials is 6p³ + 29p² + 22p - 21

Step-by-step explanation:

(2p + 7)(3p² + 4p - 3)

Use the foil method to multiply.

6p³ + 8p² - 6p + 21p² + 28p - 21

Combine like terms. Make sure you put the equation in standard form. This means that the exponential numbers will be ordered in descending form.

6p³ + 29p² + 22p - 21

anzhelika [568]3 years ago
3 0
The answer is 6p3+2p2+49p-21
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In ΔHIJ, the measure of ∠J=90°, HI = 8 feet, and JH = 1.9 feet. Find the measure of ∠H to the nearest tenth of a degree.
artcher [175]

Answer:

21.9°

Step-by-step explanation:

In ΔHIJ, the measure of ∠J=90°, HI = 8 feet, and JH = 1.9 feet. Find the measure of ∠H to the nearest tenth of a degree.

We solve this above question using the Sine rule

a/sin A = b/sin B

In ΔHIJ, the measure of ∠J=90°, HI = 8 feet, and JH = 1.9 feet.

Hence:

HI/∠J = JH/∠H

= 8/sin 90° = 1.9/sin ∠H

Cross Multiply

∠H = arc sin(sin 1.9 × 90/8)

∠H = 21.9°

5 0
3 years ago
Select the graph that would represent the best presentation of the solution set.<br> \absP &gt; 3
m_a_m_a [10]

Answer:

Step-by-step explanation:

there's no graph selection attached. Can you upload it and then I can help?

4 0
2 years ago
4n + 1= 25 how do I solve this and show my work?​
Ipatiy [6.2K]

Answer:

n=6

Step-by-step explanation:

4n + 1= 25

Move constant to the right

4n=25-1

Calculate

4n=25-1

Then divide on both sides

6 0
3 years ago
Read 2 more answers
How to find missing terms in a arithmetic sequence if there is no middle term?
kozerog [31]
You would use the formula for the specific term you wish to find;
The formula is:
U_{n} = a + (n - 1)d
a = starting value of the sequence
d = the common difference (i.e. the difference between any two consecutive terms of the sequence)
n = the value corresponding to the position of the desired term in the sequence (i.e. 1 is the first term, 2 is the second, etc.)
Un = the actual vaue of the the term

For example, if we have the arithmetic sequence:
2, 6, 10, 14, ...
And let's say we want to find the 62nd term;
Then:
a = 2
d = 4
(i.e. 6 - 2 = 4, 10 - 6 = 4, 14 - 10 = 4;
You should always get the same number no matter which two terms you find the difference between so long as they are both consecutive [next to each other], otherwise you are not dealing with an arithmetic sequence)
n = 62

And so:
U_{62} = (2) + (62 - 1)(4) \\&#10;= 2 + 61(4) \\&#10;= 2 + 244 \\&#10;= 246
5 0
3 years ago
10) Gabe put up a fence around his rectangular vegetable garden this weekend.
dybincka [34]

Answer:

The length is 16 ft, and the width is 3 ft.

Step-by-step explanation:

Let L = length & let W = width.

The perimeter of a rectangle is

P = 2(L + W)

The area of a rectangle is

A = LW

We know the perimeter and the area, so we substitute those values int he equations above and we switch sides in both equations.

Perimeter: 2(L + W) = 38

Divide both sides by 2:

L + W = 19

Area: LW = 48

We have a system of two equations in two unknowns:

L + W = 19

LW = 48

Solve the first equation for L and substitute it into the second equation.

L = 19 - W

(19 - W)W = 48

19W - W^2 - 48 = 0

Multiply both sides by -1, and rearrange the order of the terms.

W^2 - 19W + 48 = 0

(W - 16)(W - 3) = 0

W - 16 = 0 or W - 3 = 0

W = 16 or W = 3

Use W = 3 to find L

L = 19 - W

L = 19 - 3

L = 16

Answer: The length is 16 ft, and the width is 3 ft.

3 0
3 years ago
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