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3 years ago

What is the value of b(10) when b(x)=|3-x|+1 ?

1 answer:

7 0

B(x) = |3-x|+1

b(10) means that we need to replace x by 10:
b(10) = |3-10|+1
As you can notice, 3-10 is between the lines of the absolute power. So if the answer is positive, you keep positive. If the answer is negative, you transform it to positive. |a| = a and |-a| = a. So |a|=|-a|.
So |3-10| = |-7| = |7| = 7.

b(10) = |3-10|+1 = 7 + 1 = 8.

So the value of b(10) when b(x)=|3-x|+1 is 8.

Hope this Helps! :)

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The square root of 61 is in between 2 integers what are they

swat32

One way is to estimate
1^2=1
2^2=4
3^2=9
4^2=16
5^2=25
6^2=36
7^2=49
8^2=64
the number 61 is between 49 and 64 therefor the square root of 61is between the intigers 7 and 8 or -7 and -8

8 0

3 years ago

F(x) = x3 + 3x² - 4x

Nezavi [6.7K]

Answer:

x(x−1)(x+4)

Step-by-step explanation: there are no like terms

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3 years ago

Find the cosine ratio of angle ?. hint: use the slash symbol ( / ) to represent the fraction bar, and enter the fraction with no

Andru [333]

We are given that the angle a is the right angle. So let us work from this.

ab = 12 (the vertical side of the triangle)

bc = 13 (which if drawn can be clearly observed to be the hypotenuse) = the side opposite to angle a

ca = 5 (the horizontal side of the triangle)

Since we are to find for the cosine ratio of angle c or angle θ, therefore:

cos θ = adjacent side / hypotenuse

cos θ = ca / bc

cos θ = 5 / 13

Check out the attached image below for the illustration of the triangle.

6 0

3 years ago

A line passes through point A(10,15). A second point on the line has an x-value that is 125% of the x-value of point A and a y-v

melisa1 [442]

The equation of the line in the point-slope form is y - 15 = $-\frac{3}{2}$ (x - 10)

Step-by-step explanation:

The point-slope form of a linear equation is $y-y_{1}=m(x-x_{1})$ , where

m is the slope of the line, where $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ , $(x_{1},y_{1})$ and $(x_{2},y_{2})$ are two points on the line
$(x_{1},y_{1})$ is a point on the line

∵ Point A = (10 , 15)

∵ The x-coordinate of the second point is 125% of x-coordinate

of point A

∴ x-coordinate of second point = $\frac{125}{100}$ × 10

∴ x-coordinate of second point = 12.5

∵ The y-coordinate of the second point is 75% of y-coordinate

of point A

∴ y-coordinate of second point = $\frac{75}{100}$ × 15

∴ y-coordinate of second point = 11.25

∴ The coordinates of the second point are (12.5 , 11.25)

Let us find the slope of the line by using the rule of it above

∵ $(x_{1},y_{1})$ = (10 , 15)

∵ $(x_{2},y_{2})$ = (12.5 , 11.25)

∴ $m=\frac{11.25-15}{12.5-10}=\frac{-3.75}{2.5}=-\frac{3}{2}$

Now we can write the equation

∵ The point-slope form is $y-y_{1}=m(x-x_{1})$

∵ $m=-\frac{3}{2}$

∵ $(x_{1},y_{1})$ = (10 , 15)

- Substitute these values in the form of the equation

∴ y - 15 = $-\frac{3}{2}$ (x - 10)

The equation of the line in the point-slope form is y - 15 = $-\frac{3}{2}$ (x - 10)

Learn more:

You can learn more about the linear equation in brainly.com/question/4152194

#LearnwithBrainly

5 0

3 years ago

2, 7, 7, 2, 2, 4<br> Mean<br> Median

maxonik [38]

Answer:

Mean= 4

Median= 3

Step-by-step explanation:

Mean

add all the numbers together (24)

and divide them by the number of numbers (6)

gives you 4

Median

put them in order from least to greatest

2,2,2,4,7,7

2,2 2,4 7,7

it leaves you between 2 and 4

which the middle is 3

so there

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3 years ago