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notsponge [240]
3 years ago
13

If (3x2 + 22x + 7) ÷(x + 7) = 3x + 1, then (x + 7)( ) = . The check of the polynomial division problem shows that the product of

two polynomials is a polynomial. This supports the fact that the property is satisfied for polynomial multiplication.
Mathematics
1 answer:
azamat3 years ago
8 0

Answer:

(x + 7) * (3x + 1) = (3x^2 + 22x + 7)

Step-by-step explanation:

Given

(3x^2 + 22x + 7) \div (x + 7) = 3x + 1

(x + 7) * (\ ) = [\ ]

Required

Complete the blanks

We have:

(3x^2 + 22x + 7) \div (x + 7) = 3x + 1

Rewrite as:

\frac{(3x^2 + 22x + 7) }{ (x + 7)} = 3x + 1

Cross multiply

(x + 7) * (3x + 1) = (3x^2 + 22x + 7)

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OleMash [197]
Bro I’m so tired of those people answering with links
7 0
2 years ago
Brad has eight more nickels than quarters. Altogether he has $6.10. how many of each does he have
wlad13 [49]

Brad have 19 quarters and 27 nickels.

Step-by-step explanation:

Given,

Total worth of nickels and quarters = $6.10 = 6.10*100 = 610 cents

One quarter = 25 cents

One nickel = 5 cents

Let,

x represent the number of quarters.

y represent the number of nickels.

According to given statement;

25x+5y=610     Eqn 1

y = x+8              Eqn 2

Putting value of y from Eqn 1 in Eqn 2

25x+5(x+8)=610\\25x+5x+40=610\\30x=610-40\\30x=570

Dividing both sides by 30

\frac{30x}{30}=\frac{570}{30}\\x=19

Putting x=19 in Eqn 2

y=19+8\\y=27

Brad have 19 quarters and 27 nickels.

Keywords: linear equation, subtraction

Learn more about subtraction at:

  • brainly.com/question/9369548
  • brainly.com/question/9328925

#LearnwithBrainly

7 0
2 years ago
In any difference 6th grade class the ratio of boys and two girls is 3:2 how many boys and how many girls could there be in one
Artemon [7]
Yes there can be more than one answer because it can go on forever
3 to 2
6 to 4
9 to 6
12 to 8
it can go on forever
4 0
3 years ago
What is the scale factor of triangle ABC to triangle DEF?
8_murik_8 [283]

Answer:

Second option, scale factor is 2.5

Step-by-step explanation:

We see that ∠B ≅ ∠E and ∠C ≅ ∠F, therefore, ΔABC ~ ΔDEF by the AA Similarity for Triangles Theorem which states that if two pairs of corresponding angles are congruent in two triangles, then those two triangles are similar. To find the scale factor, all we have to do is DF / AC = 5/2 or 2.5.

5 0
3 years ago
Verify the identity sin^2(x/2)=(1-cosx)/2
horsena [70]
Use the following identity:

cos(2x)=1-2sin^2(x)
5 0
3 years ago
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