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KATRIN_1 [288]
3 years ago
7

Find three consecutive even integers such that the product of the second and

Mathematics
1 answer:
Rina8888 [55]3 years ago
7 0

Step-by-step explanation:

first number=x

second number=x+2

third number=x+4

(x+2)(x+4)=35

x(x+4)+2(x+4)=35

x²+4x+2x+8=35

x²+6x+8=35

x²+6x=35-8

x²+6x=33

x²+6x-33=0

using that, you can find the first number,

then use the data to find the other two.

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Simplify the algebraic expression -2(x - 3) + 4(-2x + 8)
dangina [55]
The answer to this equation is :-10x+38 because
-2x(x-3)+4(-2x+8)
(-2x+6)+(-8x+32)
(-2x+6)(-8x+32)
-2x+6-8x+32
-10x+38
7 0
3 years ago
Find the value of x
gayaneshka [121]

Answer:

42°

Step-by-step explanation:

Since all the angles in the figure add up to 180°...

180 - 54 = 126

3x = 126°

x = 126 ÷ 3 = 42

4 0
3 years ago
A survey was conducted to find out how much time people have to spend commuting to work. The sample means for two samples are 71
Lorico [155]

Answer:

E: None of the above

Step-by-step explanation:

Hello!

The objective is to find out how much time it takes people to commute to work.

Two samples where taken and two hypothesis tests where made:

One:

Sample mean 71 min; p-value: 0.03

Two:

Sample mean 72 min; p-value: 0.06

You have to choose from the options, a possible pair of hypotheses used for these two tests.

The parameter of the study is the population mean μ.

In the statistic hypotheses, the parameters are given either a known population value or a suspected value. So all options including sample values are wrong.

As said before the objective of the survey is to "determine how much time people spend commuting to work" in other words, whether or not the population mean is equal to a certain value.

H₀: μ = μ₀

H₁: μ = μ₀

Where μ₀ represents the theoretical value of the population mean. As you can say the hypotheses pair is two-tailed, not one-tailed.

Then the correct answer is E: None of the above

I hope this helps!

7 0
3 years ago
Jose unlocks his cellphone by placing his right thumb on a square of 1 centimeter by 1 centimeter at the center of the screen. U
babunello [35]

Answer:

Step-by-step explanation:

We can solve this question using proportion

Perimeter of the square/Time is takes to unlock

We are told in the question that:

The cellphone unlocks when the perimeter reaches 32 centimeters, taking a total of 2.5 seconds.

Hence, the perimeter of the square after 1.5 seconds is:.x = unknown

32/2.5 = x/1.5

Cross Multiply

2.5x = 32 × 1.5

x = 32 × 1.5/2.5

x = 19.2 centimeters

4 0
3 years ago
Solve |8y+4|=2|y-1|<br> please show the work!
Snowcat [4.5K]
8y+4 = 2(y-1)
8y+4 = 2y-2
8y-2y+4 = -2
6y+4 = -2
6y = -2-4
6y = -6
y = -1
3 0
2 years ago
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