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kobusy [5.1K]
3 years ago
9

Solve the system of equations: 4x - 3=-2x + 9

Mathematics
2 answers:
Karolina [17]3 years ago
8 0

Answer:

x=2

Step-by-step explanation:

Step 1: Add 2x to both sides.

4x−3+2x=−2x+9+2x

6x−3=9

Step 2: Add 3 to both sides.

6x−3+3=9+3

6x=12

Step 3: Divide both sides by 6.

<u>6</u><u>x</u><u> </u><u>=</u><u> </u><u>1</u><u>2</u>

6 6

x=2

zlopas [31]3 years ago
6 0

Answer:

42 as i dont know so ask jeff ma boy from da sewers

Step-by-step explanation:

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Please help, thank you :)
wolverine [178]

Answer:

y^6

Step-by-step explanation:

\frac{y}{1} \times   \frac{{y}^{5} }{1}

=

{y}^{6}

7 0
2 years ago
A news report states that the 99% confidence interval for the mean number of daily calories consumed by participants in a medica
expeople1 [14]

Answer:

The sample mean is of 1925 calories.

The margin of error is of 75 calories.

The sample standard deviation is of 109.7992 calories.

Step-by-step explanation:

Sample mean:

The sample mean is the mean value of the two bounds of the confidence interval. So

M = \frac{1850 + 2000}{2} = 1925

The sample mean is of 1925 calories.

The margin of error

Difference between the bounds and the sample mean. So

2000 - 1925 = 1925 - 1850 = 75 calories.

The margin of error is of 75 calories.

Sample standard deviation:

Here, I am going to expand on the t-distribution.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 18 - 1 = 17

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 17 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.99}{2} = 0.995. So we have T = 2.898

The margin of error is:

M = T\frac{s}{\sqrt{n}}

In which s is the standard deviation of the sample and n is the size of the sample.

Since M = 75, T = 2.898, n = 18

M = T\frac{s}{\sqrt{n}}

75 = 2.898\frac{s}{\sqrt{18}}

s = \frac{75\sqrt{18}}{2.898}

s = 109.7992

The sample standard deviation is of 109.7992 calories.

6 0
2 years ago
EASY POINTS!! HELP AND ILL MARK YOU BRAINLIEST!!!!
natali 33 [55]

Answer: (6, -30)

Step-by-step explanation:

Substitute the points into the equation:

3.5 = -1/2(1^3) - 3(1) + 7 = 3.5: (1, 3.5) is on the graph.

-60.5 = -1/2 (9^2) -3(9) + 7 = -60.5: (9, -60.5) is on the graph.

-1 = -1/2 (-8^2) -3(-8) + 7 = -1. (-8, -1) is on  the graph.

-30 = -1/2(6^2) -3(6) + 7 = -29 (6, -30) is not on the graoh.

3 0
3 years ago
If minus−3 and 5 are the coordinates of two points on the real number​ line, the distance between these points is
anzhelika [568]
Abs(-3-5)
= abs(-8)
= 8
4 0
3 years ago
I am a number between 80 and 100 my ones digit is two less than my tens digit I am a prime number what number am I
Aneli [31]
97. the tens number here is 9 and the unit number if 7, from this 7 is less than 9 by 2
5 0
3 years ago
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