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Slav-nsk [51]
3 years ago
11

find three consecutive odd integers such that the sum of the first and second is 27 less then 3 times the third

Mathematics
1 answer:
sladkih [1.3K]3 years ago
7 0
(x)+(x+2)=3(x+4)-27
2x+2=3x+12-27
2-12+27=17=x

The three integers are 17,19,21
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Divide.<br><br> (6x^2+36x+35)/(x+5)<br><br> Your answer should give the quotient and the remainder.
zheka24 [161]

Answer:

6x+6+\frac{5}{x+5}

Step-by-step explanation:

When we divide polynomials by polynomials with more than one term, we use long division or factorization to simplify.

This polynomial isn't easily divided after factorization so we will use long division. And we will use the remainder theorem to write any remainder.

\frac{(6x^2+36x+35)}{(x+5)}

We start long division by finding what multiplies with x+5 to get  6x^2+36x. This is 6x.

So 6x(x+5)=6x^2+30x. We have 6x left as a remainder from 36x.

We now divide x+5 into 6x+35. What multiplies with x+5 to get 6x+35? 6.

So we have 6x+6 as our answer so far and after we multiply 6(x+5)=6x+30 we will have a final remainder of 5.

We write our answer as 6x+6+\frac{5}{x+5}.


3 0
3 years ago
What is the slope of the equation f(x)=3x+4 A.3 B.4
vampirchik [111]

Answer:

A) 3

Step-by-step explanation:

Slope defines the rate of a change in a linear equation. As the function is written in slope-intercept form, mx + b, in which m is the slope and b is the y-intercept, 3 is your slope.

3 0
3 years ago
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Evaluate -4n^2+ 11 when n= 3
jok3333 [9.3K]

Answer:

Step-by-step explanation:

999

8 0
3 years ago
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Write an equation parallel to the given line through the given line through the given point.
Law Incorporation [45]
The format of a line equation is y = mx + b
When two lines are parallel, their 'm' variables are equal.
Knowing this, the unknown line equation, so far, would look like this:
y = 9x + b
Since we know that the line equation goes through the point (2, 7)
7 = 18 + b
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y = 9x - 11
6 0
3 years ago
Anyone know this geometry question? Will give brainiest
Dafna11 [192]
The opposite angles equal each other, so X and Z are equal
 using that we solve for x by setting them equal:

6x-60 = 2x+68

subtract 2x from each side:

4x -60 = 68

add 60 to each side:

4x = 128
 divide both sides by 4
x = 128/4
x = 32

now we know x so we can solve everything else by replacing x with 32

WY = 3x+5 = 3(32)+5 = 96+5 = 101

angle Z = 2x+68 = 2(32)+68 = 64+132

the answer is C


5 0
3 years ago
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