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frutty [35]
2 years ago
6

The polynomial 10x3 + 35x2 − 4x − 14 is factored by grouping.

Mathematics
2 answers:
vova2212 [387]2 years ago
7 0

Answer: the coomon factor that is missing from both sets of parentheses is 2x + 7.


Explanation:


These are the steps to factor the polynomial with the reasons that justify them:


Step                                                   Reason

1. 10x³ + 35x² - 4x - 14                       Given

2. (10x³ + 35x²) - (4x + 14)                 Group the terms

3. 5x² (2x + 7) - 2 (2x + 7)                Common factor 5x² and 2


After this, you extract common factor 2x + 7 and have the complete factored polynomial: (2x + 7) (5x² - 2).

ankoles [38]2 years ago
6 0
Answer is 2x+7 because in the first parenthesis when you take out 5x2 you are left with 2x+7 and in the 2nd parenthesis you also get 2x+7 because the negative is factored out
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Please answer this as fast as you can In the graphic above, ΔABC ≅ ΔEDC by: HL. AAS. AAA. SSS.
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Answer:

Step-by-step explanation:

Triangles by definition have 3 sides. If the sides are corresponding then it is beneficial to us if they are the same length as well. If all 3 sides in one triangle are equal in length to the corresponding sides in another triangle, then the triangles are congruent by SSS (side-side-side).  This is the case for us. Side EC is corresponding and congruent to side AC; side CD is corresponding and congruent to side CB; side ED is corresponding and congruent to side AB.

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1 year ago
What is the domain and range of the function y = xn if n is an odd whole number? if n is an even whole number?
sergij07 [2.7K]

Answer:

Step-by What is the domain and range of the function y = xn if n is an odd whole number? if n is an even whole number?-step explanation:

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2 years ago
Nadiya determines that there are no fractions equivalent to 2/10 with a denominator greater than 10, but less than 20, that have
frosja888 [35]

Answer:

Yes, Nadiya is correct. By multiplying the numerator and denominator by 2, the first fraction equivalent to 2/10 is 4/20.

Step-by-step explanation:

To find a fraction equivalent to 2/10, we need to multiply (or divide) the numerator and denominator by the same nonzero whole number.

As we need an equivalent fraction with a denominator greater than 10, we will need to multiply and not divide.

The first nonzero whole number we have is 1. If we multiply the numerator and denominator by 1, we get 2/10. Obviously, 2/10 is equivalent to 2/10 but the denominator is not greater than 10, so it doesn't help us.

The next whole number is 2. When we multiply the numerator and denominator by 2, we get 4/20. The denominator is not less than 20.

If we keep going, we will get 6/30, 8/40 and so on.  

Therefore, Nadiya is correct.

The correct answer is the first one.

8 0
2 years ago
Read 2 more answers
What is the horizontal asymptote for y(t) for the differential equation dy dt equals the product of 2 times y and the quantity 1
marta [7]
First, we need to solve the differential equation.
\frac{d}{dt}\left(y\right)=2y\left(1-\frac{y}{8}\right)
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-\frac{4}{y^2-8y}{dy}=dt
Now we integrate both sides.
\int \:-\frac{4}{y^2-8y}dy=\int \:dt
We get:
\frac{1}{2}\ln \left|\frac{y-4}{4}+1\right|-\frac{1}{2}\ln \left|\frac{y-4}{4}-1\right|=t+c_1
When we solve for y we get our solution:
y=\frac{8e^{c_1+2t}}{e^{c_1+2t}-1}
To find out if we have any horizontal asymptotes we must find the limits as x goes to infinity and minus infinity. 
It is easy to see that when x goes to minus infinity our function goes to zero.
When x goes to plus infinity we have the following:
$$\lim_{x\to\infty} f(x)$$=y=\frac{8e^{c_1+\infty}}{e^{c_1+\infty}-1} = 8
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3 0
1 year ago
Nancy Wallin has just purchased a new house that is in need of new flooring. The cost of Pergo Select Helsinki Birch laminate fl
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Answer:

<u>Part A: Cost for the flooring is $ 4,231.50</u>

<u>Part B: Cost for the flooring is $ 5,531.50</u>

Step-by-step explanation:

Step 1:

Let's calculate the area of the living/dining room, this way:

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Step 2:

Let's calculate the cost of the flooring if Nancy installs it:

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Let's calculate the cost of the flooring if the flooring company installs it:

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Cost = 8.51 * 650

<u>Cost = $ 5,531.50</u>

6 0
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