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vfiekz [6]
3 years ago
12

A number between 55 and 101 that is a multiple of 2, 8, and 16

Mathematics
1 answer:
ch4aika [34]3 years ago
5 0
Ànswer is 64 , 80, and 96
You might be interested in
Write the equation of each line using the given information.
Marat540 [252]

A. The equation of the line is y = -0.2 x + 1.9

B. The equation of the line is y = 4 x + 3

C. The equation of the line is y = -8

D. The equation of the line is y = 2 x + 4

Step-by-step explanation:

The slope-intercept form of the equation of a line is y = m x + b, where

m is the slope of the line and b is the y-intercept

  • The formula of the slope of a line which passes through points (x_{1},y_{1}) and (x_{2},y_{2}) is m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}
  • The slope of a horizontal line whose equation y = b is zero
  • The y-intercept means the line intersect the y-axis at point (0 , b)

A.

∵ The line passes through points (2 , 1.5) and (-5 , 36.5)

∴ x_{1} = 2 and x_{2} = -5

∴ y_{1} = 1.5 and y_{2} = 36.5

∵ m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

∴ m=\frac{-5-2}{36.5-1.5}=\frac{-7}{35}=\frac{-1}{5}

∴ m = -0.2

∵ y = m x + b

∵ m = -0.2

∴ y = -0.2 x + b

- To find b substitute x and y in the equation by the coordinates of

  one of the two given points

∵ x = 2 and y = 1.5

∴ 1.5 = -0.2(2) + b

∴ 1.5 = - 0.4 + b

- Add 0.4 to both sides

∴ 1.9 = b

∴ y = -0.2 x + 1.9

The equation of the line is  y = -0.2 x + 1.9

B.

∵ m = 4

∵ y = m x + b

∴ y = 4 x + b

∵ Point (3 , 15) lies on the line

- To find b substitute x and y in the equation by the coordinates

  of the given point

∵ x = 3 and y = 15

∴ 15 = 4(3) + b

∴ 15 = 12 + b

- Subtract 12 from both sides

∴ 3 = b

∴ y = 4 x + 3

The equation of the line is y = 4 x + 3

C.

∵ The line has the same slope of line y = 1

- The line whose equation y = 1 is a horizontal line

∵ The slope of the line y = 1 is zero because it is a horizontal line

∴ m = zero

∵ y = m x + b

∴ The equation of the line is y = (0)x + b

∴ y = b

∵ The line passes through point (3 , -8)

- In the horizontal line the y-coordinates of all point lie on the line

  are equal

∴ The line intersect the y-axis at point (0 , -8)

∴ b = -8

∴ y = -8

The equation of the line is y = -8

D.

∵ m = 2

∵ y-intercept is at point (0 , 4)

∴ b = 4

∵ y = m x + b

∴ y = 2 x + 4

The equation of the line is y = 2 x + 4

Learn more:

You can learn more about the linear equations in brainly.com/question/4326955

#LearnwithBrainly

6 0
3 years ago
Determine the minimum and maximum points in the function x2+4x+1​
olga2289 [7]
7 is the right answer your looking for.
3 0
3 years ago
3k - 5 = 20k what is k
Usimov [2.4K]
K is whatever you want it to be
5 0
3 years ago
Henry constructed circle A with a radius of 6 units. He then created a sector
Anni [7]
B. 90/360, because this is 1/4 from circle. It's even shown in the picture.
Example: If you take a protractor at 180°, then if you mirror it, then 360° will comeout, i.e. a circle.

3 0
2 years ago
3. Suppose you are testing H0 : µ = 20 vs H1 : µ > 20. The sample is large (n = 71) and the variance, σ 2 , is known. (a) Fin
LUCKY_DIMON [66]

Answer:

We reject the null hypothesis.

Step-by-step explanation:

We are given the following information in the question:

Sample size, n = 71

Population variance is known.

Level of significance, α = 0.08

z_{\text{stat}} = 1.56

The null and alternate hypothesis are:

H_{0}: \mu = 20\\H_A: \mu > 20

We use one-tailed z test to perform this hypothesis.

Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} } = 1.56

Now, z_{critical} \text{ at 0.08 level of significance } = 1.41

Since,  

z_{stat} > z_{critical}

We fail to accept the null hypothesis and reject it and accept the alternate hypothesis.

7 0
3 years ago
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