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3 years ago

Factor: 1/2x + 12 Answers: A. x + 12 B. 1/2(x + 24) C. x + 24 D. 1/2(x + 6)

Mathematics

2 answers:

BabaBlast [244]3 years ago

7 0

The correct answer for this question would be answer C. x +24

Ronch [10]3 years ago

3 0

The correct answer is B. 1/2(x + 24)

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Find four consecutive even integers such that if the sum of the first and third is multiplied by 3, the result is 28 less than f

WITCHER [35]

Answer:

$A=-10\\B=-8\\C=-6\\D=-4$

Step-by-step explanation:

We can solve the problem in this way:

- The 1st information that we have is that the four numbers are even and consecutive integer. Let's call these numbers A, B, C and D. This means that:

$D=C+2\\C=B+2\\B=A+2$

(since the distance between two even consecutive numbers is 2)

- The 2nd information that is given is that the sum of the first and third multiplied by 3 equals 28 less than 5 times the fourth, so:

$3(A+C)=5D-28$ (1)

Now we rewrite eq(1) by using:

$D=C+2$

and

$A=C-4$ (obtained by combining the 3 first equations)

So we get:

$3(C-4+C)=5(C+2)-28$

Solving this equation for C,

$6C-12=5C+10-28\\C=-6$

So the other numbers are:

$A=-10\\B=-8\\C=-6\\D=-4$

7 0

3 years ago

Write a phrase for each algebraic expression s+7

IRINA_888 [86]

An algebraic expression could be s plus 7

3 0

3 years ago

Read 2 more answers

Martha wrote an example of a quadratic function for a homework assignment. The function she wrote is shown. f(x) = 5x3 + 2x2 + 7

larisa86 [58]

Answer:

The two correct options are:

The first term, 5x³, can be eliminated

The exponent on the first term, 5x³, can be changed to 2 and then combined with the second term, 2x²

Explanation:

The degree of an expression is given based on the highest power in the expression

The given expression is:

5x³ + 2x² + 7x - 3

We can note that the highest power in the given expression is 3 which means that the degree of the expression is 3

A quadratic function is a function of degree 2. This means that the highest degree in the expression (function) must be 2

Accordingly, Martha should get rid of the term with power 3 (5x³) in her equation

This can be done by 2 methods:

1- She simply eliminates the term with the third degree

2- She changes the degree of the term with degree 3 to a lower degree and combines it with any existent like term

Comparing the above with the given options, we can conclude that the two correct options are:

- The first term, 5x³, can be eliminated

- The exponent on the first term, 5x³, can be changed to 2 and then combined with the second term, 2x²

Hope this helps :)

6 0

3 years ago

Read 2 more answers

2 more than 5 groups of 3

Anvisha [2.4K]

5*3+2 = 15+2 = 17
The asnwer is 17.

5 0

4 years ago

What value in place of the question mark makes the polynomial below a perfect square trinomial? x²+22x+?

strojnjashka [21]

Answer:

B. 121

Step-by-step explanation:

Complete the square.

Take half of the middle term, 22, and square it.

So 11^2 = 121.

3 0

3 years ago