Given f(x) = {(4 - x), what is the value of f(16)?​

Answer:

Z scores for:

a) 76 = 1.33333

b) 38 = -1.83333

c) 50 = -0.83333

Step-by-step explanation:

Z score formula is:

z = (x-μ)/σ where

x is the raw score

μ is the population mean

σ is the population standard deviation.

Mean = 60

Standard deviation = 12.

a) 76

z = (x-μ)/σ

z = 76 - 60/12

z score = 1.33333

b) 38

z = (x-μ)/σ

z = 38 - 60/12

z score = -1.83333

c) 50

z = (x-μ)/σ

z = 50 - 60/12

z score = -0.83333

3/4 of 1/2

⚠️REMEMBER IN MATH THE WORD *OF* STANDS FOR MULTIPLICATION⚠️

so 3/4 x 1/2

when multiplying two fractions, we multiply the numerators together and the denominators together

(3 x 1) / (1 x 2)

that is

3/8

so 3/4 of 1/2 is 3/8

Hope this helps :)

[tex]\frac{3}{4} *\frac{1}{2}[/tex]

Answer:

[tex]-\frac{1}{2} (x - 1)^2 + 1[/tex]

Explanation:

Since it is flipped and now extending to negative infinity, we make [tex]x^2[/tex] negative, so it is [tex]-x^2[/tex].

Lastly, there are a few shifts, it is shifted right once and up once.

To shift it right once, you would subtract a 1 from x directly: [tex]-(x - 1)^2[/tex]

To shift it up once, you would add 1 to the entire equation: [tex]-(x - 1)^2 + 1[/tex]

To account for the stretching, it would be: [tex]-\frac{1}{2} (x - 1)^2 + 1[/tex]

The midpoint of a line segment is the point equidistant to the endpoints of the line. The coordinate of S is (2,-9)

Given that:

[tex]T(x_1,y_1) = (0,5)[/tex]

[tex]M = (1,-2)[/tex] --- the midpoint of ST

[tex]S = (x_2,y_2)[/tex]

To calculate the coordinates of S, we use the following midpoint formula:

[tex]M = 0.5 \times (x_1 + x_2,y_1+y_2)[/tex]

So, we have:

[tex](1,-2) = 0.5 \times (0 +x_2,5 + y_2)[/tex]

Divide both sides by 0.5

[tex](2,-4) = (0 +x_2,5 + y_2)[/tex]

[tex](2,-4) = (x_2,5 + y_2)[/tex]

Compare both sides

[tex]x_2 = 2[/tex]

[tex]5 + y_2 = -4[/tex]

Collect like terms

[tex]y_2 = -4-5[/tex]

[tex]y_2 = -9[/tex]

Hence, the coordinates of S is:

[tex]S = (2,-9)[/tex]

Read more about midpoints at:

https://brainly.com/question/8943202

Answer:

True

Step-by-step explanation:

Ovious surely it is true

Answer:

Answer is true

:)

Answer:

-5/2

Step-by-step explanation:

You have to take y2-y1 and divide it by x2-x1

Answer:

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

This is false because 1 meter has 36 inches.

Answer: True

Step-by-step explanation:

Meters Inches

1 m         39.37 in

2 m         78.74 in

3 m         118.11 in

4 m         157.48 in

Hello!

We can say that:

Calculate x, knowing that angles opposite the vertex have the same value: ↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓

To know the value of y, just calculate when the angle 4x - 21 ° is worth, as we already have the value of x. Then just do another equation.

Now, we calculate:

Now, we calculate z:

Is important stand out what the draw isn't in the correct scale.

Hope this helps!!!! Good studies! ☺

Answer: D. -5

Step-by-step explanation:

Imagine you are $17 in debt.

You earn $12.

Now you are only $5 in debt.

To be parallel must the slope of the lines equal to each other.

_________________________________

[tex]8x + 2y = 12[/tex]

[tex]2y = - 8x + 12[/tex]

[tex]y = - 4x + 6[/tex]

_________________________________

From left to right ;

1) The slope-intercept form is :

[tex]y = 4x + 4[/tex]

Which means the slope = 4

Look : 4 ≠ -4 thus this is not the answer.

+++++++++++++++++++++++++++++++++++++++

2) The slope-intercept form is :

[tex]y = - \frac{1}{4}x + \frac{3}{4} \\ [/tex]

Which means the slope = -¼

Look : -¼ ≠ -4 thus this is not the answer.

+++++++++++++++++++++++++++++++++++++++

3) The slope-intercept form is :

[tex]y = - 4x - 6[/tex]

Which means the slope = -4

Look : -4 = -4 thus this is the answer.

+++++++++++++++++++++++++++++++++++++++

4) The slope-intercept form is :

[tex]y = \frac{1}{4}x + \frac{11}{4}\\ [/tex]

Which means slope = ¼

Look : ¼ ≠ -4 thus this is not the answer.

_________________________________

And we're done...

♥️♥️♥️♥️♥️

Answer:

1

Step-by-step explanation:

the +4 turns into -4

6-4=2 the (+4-4 on the left would cancel out)

-2x/2 would cancel out as well

2 divided by 2 = 1

you could have used a scientific calculator on google (for future reference)

Answer: i think x= 1

Step-by-step explanation:

4-2x=6

2x=6-4

2x=2/2

x=1

3496000000

380000

2Step-by-step explanation:

Answer:

X increasing by one and Y decrasees by 2

The correct relation between x and y is [tex]y=x-2[/tex].

Given information:

The table showing the values of x and y is:

x    1    2    3    4

y    -1   0    1     2

From the given table, it can be seen that with an increase in the value of x, the value of y also increases.

From the values of y, it can be seen that y increases by 1 unit with a unit increase in x.

The relation between x and y can be written as,

[tex]y=x-2\\y(1)=1-2\\y(1)=-1[/tex]

Therefore, the correct relation or equation between x and y is [tex]y=x-2[/tex].

For more details, refer to the link:

https://brainly.com/question/20632687

Step-by-step explanation:

This is a geometric series, where the first term is -5 and the common ratio is -⅔.

aₙ = -5 (-⅔)ⁿ⁻¹

Answer:

B is the answer

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

Slope would be m= -1, y-int is 2.

Step-by-step explanation:

To find slope, use (y2-y1/x2-x1) Plugging this in, we get (-5-(-1)/(7-3). This can be simplified to -4/4, which is -1. After we find slope, we plug in one of the points to find be. Using (7,-5), y=-5 and x=7. So, -5=7(-1)+b. -5=-7+b. Add 7 to both sides, b=2. Therefore, the entire equation is y=-x+2.

Answer:

The answer is 1

Step-by-step explanation:

use slope formula!

[tex]m= \frac{y_{2}-y_{1}}{x_{2}-x_{1} }[/tex]

3 is xsub1

-1 is ysub1

7 is xsub2

-5 is ysub2

substitute and solve!

[tex]m= \frac{-5-(-1)}{7-3}\\= \frac{-5+1}{4}\\= \frac{-4}{4}\\= -1[/tex]

slope is 1

hope this helps!

Answer:

128 minuter, or 2 hours 8 minutes.

Step-by-step explanation:

So, every 16 minutes, 1 gallon leaks. that mean that we use 8x16, which is 128. now, we make them into hours, which is 2 hours, 8 minutes.

Answer:

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

go it right on edge

Answer:

m = -3/2

Step-by-step explanation:

m = (y2-y1)/(x2-x1)

m = (-1-2)/(3-1)

m = -3/2

Answer:

The answer is D

Step-by-step explanation: I solved by subsitution and found y=2x-15 So therefore 2x+4(2x-15)=10 and then x=7 and that was the only answer with7 as x but to check I did y=2(7)-15 and y=-1

Answer: It’s 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

The numbers 4/5 and 9/10 are fractions. They multiply the variable 'b' in each case.

How to solve an equation like this

An example of an equation like this without fractions is ...

  6 + 3b = 8b

You solve this sort of equation by rearranging the equation so the terms having 'b' in them are all on one side of the equal sign. You want all of the terms not containing 'b' to be on the other side of the equal sign.

Here, the terms are mixed on the left, but the right has only a 'b' term. So, if we can remove the 'b' term from the left side, we will have reached the goal

In the example equation, we do that by adding -3b to both sides of the equation.

  6 +3b -3b = 8b -3b

Simplifying, we have ...

  6 = 5b

Now, we divide by the coefficient of 'b', which is 5. We divide both sides of the equation by that:

  6/5 = (5b)/5

  6/5 = b . . . . after simplifying

_____

How to solve this equation

The given equation is solved exactly the same way. We add the opposite of the 'b' term that we don't want (which is 4/5b):

  6 + 4/5b -4/5b = 9/10b -4/5b

Simplifying, this is ...

  6 = (9/10 -4/5)b = (9/10 -8/10)b

  6 = 1/10b

We can make the coefficient of 'b' be 1 by multiplying it by 10. We have to do that to both sides of the equation:

  (10)(6) = (10)(1/10)b

  60 = b . . . . . the solution

_____

Comment on equations in general

The one absolute rule in Algebra is that the equal sign must remain valid. You keep that commandment by observing the properties of equality. Essentially, you can do anything you like to one side of an equation, as long as you do exactly the same thing to the other side.

Here, when we say "subtract 4/5b", the way we keep this commandment is that we do it to both sides of the equation. The same is true for "multiply by 10". This is emphasized by the bold highlighting in the solution shown above.

Comment on arithmetic

In solving this equation, we did the arithmetic using the given fractions. Often, for an equation like this, you will be told the first step is to "eliminate fractions". You can do that here by multiplying the equation by 10:

  10(6 +4/5b) = 10(9/10b)

  60 +8b = 9b

Now, the unwanted term is 8b, so subtracting that (from both sides) gives ...

  60 = b

This is essentially a "2-step" equation, either way you do it.

It is helpful if you are comfortable doing arithmetic with fractions, mixed numbers, decimals, percentages, and numbers in scientific notation, as well as integers.

Answer:

1/4

Step-by-step explanation:

There are 36 possible combinations.  Of those 36, the ones that add up to either 6 or 9 are:

1+5, 2+4, 3+3, 4+2, 5+1, 3+6, 4+5, 5+4, 6+3

There are 9 combinations that add up to either 6 or 9.  So the probability is 9/36, or 1/4.

Answer:

this

answer

will

be

in

your

book

Answer:

The cost of one water bottle of water would be division, The cost of four 12-packs of water is multiplication.

Step-by-step explanation: