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zhannawk [14.2K]
3 years ago
15

The sum of 2 consecutive odd integers is 52. If x represents the smaller integer, then the larger integer is

Mathematics
2 answers:
julsineya [31]3 years ago
5 0

Answer:

27

Step-by-step explanation:

2x+2=52

2x=50

x=25

x+2=27

Alex73 [517]3 years ago
4 0
In order to find the larger integer, we simply add 2 to x.
This may sound confusing, but consider that 1 is an odd number. Add 2, and you get 3. Add 2, and you get 5, and so on. By adding 2 to an odd number, you'll get another odd number (this works for even numbers too!).

The equation should be
x + (x + 2) = 52
2x + 2 = 52
2x = 50
x = 25
25+2=27

The larger integer is 27
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what is te discontinuity of the function f(x) = the quantity of x squared plus 6x plus 8 all over x plus 4?
seropon [69]

Answer:

A hole at x=-4.

Step-by-step explanation:

This is a fraction so we have to worry about division by zero.

The only time we will be dividing by 0 is when x+4 is 0.

Solving the equation

x+4=0 for x:

Subtract 4 on both sides:

x=-4

So there is either a vertical asymptote or a hole at x=-4.

These are the kinds of discontinuities we can have for a rational function.

If there is a hole at x=-4, then x=-4 will make the top zero and can be cancelled out after simplification.

If is is a vertical asymptote, x=-4 will make the top NOT zero.

Let's see what -4 for x in x^2+6x+8 gives us:

(-4)^2+6(-4)+8

16+-24+8

-8+8

0

Top and bottom are 0 when x=-4.

Let's see what happens after simplication.

We are going to factor a^2+bx+c if factorable by finding two numbers that multiply to be c and add up to be b.

So what 2 numbers together multiply to be 8 and add up to be 6.

I hoped you said 4 and 2 because (4)(2)=8 where 4+2=6.

\frac{x^2+6x+8}{x+4}=\frac{(x+4)(x+2)}{x+4}=x+2

We we able to cancel out that factor that was giving us x=-4 is a zero.  

Therefore there is a hole at x=-4.

7 0
3 years ago
A. 16
kogti [31]

9514 1404 393

Answer:

  C.  8√3/3

Step-by-step explanation:

It can be useful to remember that the ratio of sides in a 30°-60°-90° triangle are ...

  1 : √3 : 2

That is the short leg is 1/√3 times the length of the longer leg.

 8(1/√3) = 8(√3/3) . . . . . matches choice C

6 0
3 years ago
Triangle P Q R is shown. The length of P Q is 20 and the length of P R is 12. Angle Q P R is 68 degrees and angle P Q R is 36 de
Tom [10]

Answer:

<h2> 112.3 square units</h2>

Step-by-step explanation:

Find the sketch of the triangle attached.

Area of the triangle = \frac{1}{2}|PQ| |PR| sinQPR

Given PQ = 20, PR = 12 and ∠QPR = 68°

Area of the triangle = 1/2 * 20 * 12 * sin68°

Area of the triangle = 120sin68°

Area of the triangle = 112.26 square units

Area of the triangle ≈ 112.3 square units (to the nearest tenth of a square unit)

3 0
3 years ago
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mafiozo [28]

Answer:

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3 years ago
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What are some steps you might take after coming to a solution? Check all
Paraphin [41]

Answer:

A and B and E

Step-by-step explanation:

because u always double check

5 0
2 years ago
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