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stiv31 [10]
3 years ago
13

Please help me folks.

Mathematics
1 answer:
vivado [14]3 years ago
7 0

Answer:

3x^{5} (x + 2)(3x + 5)

Step-by-step explanation:

Given

9x^{7} + 33x^{6} + 30x^{5} ← factor out 3x^{5} from each term

= 3x^{5} (3x² + 11x + 10) ← factor the quadratic

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 3 × 10 = 30 and sum = + 11

The factors are 6 and 5

Use these factors to split the x- term

3x² + 6x + 5x + 10 ( factor the first/second and third/fourth terms )

= 3x(x + 2) + 5(x + 2) ← factor out (x + 2) from each term

= (x + 2)(3x + 5), thus

3x² + 11x + 10 = (x + 2)(3x + 5)

and

9x^{7} + 33x^{6} + 30x^{5} = 3x^{5} (x + 2)(3x + 5)

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Can someone help with this? I don't understand how to do it.
Vladimir [108]

Answer:

(x+6)² = 13

Step-by-step explanation:

5 0
3 years ago
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What is the area of the base of the cone below? Round the answer to the nearest tenth if necessary. A cone with height 8 inches
docker41 [41]

Answer:

The area of the circle is 19.5 in²

Step-by-step explanation:

First of all to solve this problem we have to know the formula to calculate the volume of a cone

v = volume  = 52 in³

r = radius

h = height  = 8 in

π = 3.14

v = 1/3 * π * r² * h

we solve r

3 * v /h * π = r²

we replace the known values

3 * 52 in³ / 3.14 * 8 in = r²

156 in³ / 25.12 in = r²

6.21 in² = r²

√6.21 in² = r

2.49 in = r

now that we have the radius we need to use the area formula of a circle:

a = area

r = radius = 2.49 in

π = 3.14

a = π * r²

we replace the known values

a = 3.14 * (2.49 in)²

a = 3.14 * 6.21 in²

a = 19.5 in²

The area of the circle is 19.5 in²

7 0
3 years ago
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You can measure length with the greatest precision using a tape measure marked in _____. A. meters B. kilometers C. millimeters
nadezda [96]
Millimeters because you can get measurements to the smallest unit there which is millimeters.<span />
6 0
4 years ago
PLS HELP Me I WILL GIVE hug
liq [111]

Answer:

3+5=8

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Step-by-step explanation:

I think this is for the first two points ..

sorry if wrong.

3 0
3 years ago
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QUESTION
yanalaym [24]

Answer:

$97,958.42

Step-by-step explanation:

To solve this problem we can use the compound interest formula which is shown below:

A=P(1+r )^{t}

<em>P = initial balance </em>

<em>r = interest rate </em>

<em>t = time </em>

<em> </em>

First change 6.5% to its decimal form:

6.5% -> \frac{6.5}{100} -> 0.065

Next plug in the values:

A=49,000(1+.065)^{11}

A=97,958.42

They have to pay back $97,958.42

7 0
3 years ago
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