Let f(x) = 2(x − 1)² + 3 and h(x) = -f(x+3) - 1

Write h in terms of x

Answer:

y=3x-3

Step-by-step explanation:

slope = change in y/change in x

slope = 3/1 = 3

y-intercept = y value when x=0

 go 3u left, 3x3 = 9 so 9u down

 (0,-3)

slope = m = 3

y-int = b = -3

y=mx+b

y=3x-3

Answer:

168 subtracted by 120 is going to equal 48

Step-by-step explanation:

Answer:

Step-by-step explanation:

4x - 1 = 3(x + 1)

4x - 1 = 3x + 3   [remove the parentheses by multiplying each term by 3]

4x  = 3x + 4       [add 1 to both sides]

1x  =   4               [Subtract 3x from both sides]

x = 4

===

Try it:

4x - 1 = 3(x + 1):  ??

4*4 - 1 = 3(4 + 1) ??

15 = 3(5)

15 = 15 yes

Answer:

Chris bought approximately 96.52 liters of gasoline.

Step-by-step explanation:

Since the problem states that every gallon of gasoline has approximately 3.8 liters, simply multiply 3.8 by the number of gallons given (25.4).

25.4 * 3.8 = 96.52

The margin of error of the random selection is 0.29

The given parameters are:

[tex]n = 320[/tex] --- the sample size

[tex]\sigma = 2.9[/tex] --- the standard deviation

[tex]\bar x = 24[/tex] --- the mean

[tex]\alpha = 90\%[/tex] --- the confidence level.

The margin of error (E) is calculated as follows:

[tex]E = z \times \sqrt{\frac{\sigma^2}{n}}[/tex]

So, we have:

[tex]E = z \times \sqrt{\frac{3.2^2}{320}}[/tex]

[tex]E = z \times \sqrt{\frac{10.24}{320}}[/tex]

The z-value for 90% confidence level is 1.645.

Substitute 1.645 for z

[tex]E = 1.645 \times \sqrt{\frac{10.24}{320}}[/tex]

[tex]E = 1.645 \times \sqrt{0.032}[/tex]

Take square roots

[tex]E = 1.645 \times 0.1789[/tex]

Multiply

[tex]E = 0.2943[/tex]

Approximate

[tex]E = 0.29[/tex]

Hence, the margin of error is 0.29

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Answer:

Sine and cosine functions can be used to model many real-life scenarios – radio waves, tides, musical tones, electrical currents.

im sorry if its wrong I just search this :)

The angle of slope of the line between the coordinates (-4, 10) and (-8, -6) is 4.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

To find the slope of a line, we use the formula:

slope = (change in y) / (change in x)

We can use the given points (-4, 10) and (-8, -6) to find the slope:

change in y = (-6) - 10 = -16

change in x = (-8) - (-4) = -4

slope = (-16) / 4 = 4

Therefore, the slope of the line passing through the points (-4, 10) and (-8, -6) is 4.

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Answer:

a=19

Step-by-step explanation:

In this equation you want to solve for a

In this case you simply add 6 to 13 because -6 is attached to the a on the left side and you want a on it's own.

a - 6 = 13  

+6       +6       (-6+6 = 0) (6+13=19)

a = 19

Answer:

in linear algebra a linear relationship or simply relation between elements of a vector space or a module is a linear equation that has these elements as a solution

[tex]x^2 +5x -14 =0\\\\\implies x^2 +7x -2x -14 =0\\\\\implies x(x+7) -2(x+7)=0\\\\\implies (x-2)(x+7) =0\\\\\implies x =2~~ \text{or}~~ x =-7[/tex]

Answer:

x = -7 and x = 2

Step-by-step explanation:

x ^ 2 + 5x - 14 = 0 can be factored as follows:  (x + 7)(x - 2).  Note how 7x - 2x = 5x.

Setting each factor = to 0 and solving for x, we get x = -7 and x = 2.

Answer:

sin(5607) = 0.67641680533

sin(506)  = -0.202179403335

sin(702)  = -0.989367016834

sin(803) = -0.948263002181

sin(562) =  0.33827666045

Step-by-step explanation:

put sin into a calculator and then put in the number

hope this helps! :)

40 dollars

Step-by-step explanation:

Answer:

y = 8 + 4x

Step-by-step explanation:

y is the total cost of 1 skating experience.

y = 8 + 4x

This can be read as:  the total cost, y, is equal to the admission, $8, plus $4 times the number of hours the skates are rented.  No snacks included.

Answer:

15 percent

Step-by-step explanation: You will substract the new value from the old value.

23-20

Now you will get the difference between them and divide that by the original amount.

3/20

This will equal 0.15 in which you now multiply by 100

15 percent

Answer:

m/s ...................................

Answer:

The airplane is 12 ft long.

Step-by-step explanation:

If one inch is 2 feet in real life, if there are six inches, that means there are 12 feet because it is a one to two ratio. :)

Answer:

12 ft

Step-by-step explanation:

Answer:

=32

Step-by-step explanation:

the speed = distance / time = 24 / (3/4) = 24*4 / 3 = 96 / 3 = 32 (mile/hour)

Answer:

the answer is 22

Step-by-step explanation:

Answer:ion run it

Step-by-step explanation:

BUM

Answer:

  (1, 3), (2, 6), (3, 9)

Step-by-step explanation:

Dividing the first given ratio by 7 gives ...

  7/7 : 21/7 = 1 : 3

Multiplying this by 2 and 3 gives the other ratios you want.

  = 2(1) : 2(3) = 2 : 6

  = 3(1) : 3(3) = 3 : 9

The equivalent ratios are (1, 3), (2, 6), (3, 9).

Answer:

B) Multiplying by 0

Step-by-step explanation:

This answer is correct because lets say we have a nonzero number, (IN this case lets say 4) 4+0 is 4, and that does not change the value because it is still 4, so A is not correct. Multiplying by 1 and dividing by one leads to the same conclusion. They both wind up to 4. The only one is B) because 4x0 is 0 and that isn't 4, so it changes value.

Hope this helped :)

Answer:

The answer is B

Step-by-step explanation:

you know that x is quarters which is .25 and you know that y is nickels which is .05

there are a total of 13 coins in the bank so x+y = 13

you also know that the 13 coins = 3.55

so plug in all that you know and the problem is

0.25x + 0.05y = 3.55

A box and whisker plot is made up of 5 pieces of information: the minimum, 1st/lower quartile, median, 3rd/upper quartile, and maximum.

Start by placing a dot on the minimum and maximum values. These are the "whiskers" of the box plot.

Next, we'll graph the lower and upper quartiles. On these values, draw vertical lines. We are given the lower quartile, but will need to find the upper quartile.

IQR = upper quartile - lower quartile

225 = x - 120

x = 345 minutes = 5 hours, 45 minutes

Now that we know the upper quartile, you will also draw a line on that value. Feel free to connect the lines to make the "box".

Lastly, we'll graph the median. This is another vertical line on the value. It should be directly in the middle of the lower and upper quartiles. It will be inside the box.

Hope this helps and if you have any further questions, please let me know! :)

the answer is -0.22

[tex] \: \: \: [/tex]

[tex] = \: \: \: \: - 22[/tex]

Step-by-step explanation:

[tex]2 \frac{1}{ \frac{5}{ - \frac{ 1} {10} } } [/tex]

[tex] \frac{11}{ \frac{5}{ - \frac{1}{10} } } [/tex]

[tex] \frac{11}{ - \frac{5}{ \frac{1}{10} } } [/tex]

[tex] = \: \: \: - 22[/tex]

Answer:

y-2 = 5(x-3)

Step-by-step explanation:

-

Hope that helps

Answer:

A. Stong positive

Step-by-step explanation:

Both the x and y variables move into the higher number on the chart!

Hope this helps!!

Please tell me if I have made a mistake, I enjoy learning form them:

Step-by-step explanation:

sure, this is one of the simplest things to do in math : the absolute value. it just delivers the positive value of a value.

if the value is already positive, the result is the same positive value. if the value is negative the result is the corresponding positive value.

really, that is all that is there to it.

so,

|11| = 11

|-12| = 12

no big magic, no mystery, no tricks or formulas to know.

it just is ...

Answer:

i got you it 10,000

Step-by-step explanation:

all you have to do is add the zeros

Answer:

Hey there! Hope this helps a little!

Step-by-step explanation:

So to begin with the standard slope form equation is Ax+By=C

Lets say the question is 2x+3y=12 what you wanna do first is get y all by its self so what you so is subtract 2x from 2x what you do to one side make sure to do it on the other side subtract 2x from 12

Now you will have -2x/3+12/3

Solution is y=-2/3x+4 please let me know if you need further help!

There are no real square roots does -1 have.

-1 is negative, it does not have a real square root.

Here, we have,

we know that,

The number -1 does not have any real square roots.

In the real number system, a square root of a number is a value that, when squared, gives the original number.

However, when we square any real number, the result is always non-negative.

Since -1 is negative, it does not have a real square root.

It is 0 because there are no square roots for negative numbers.

Hence, There are no real square roots does -1 have.

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Answer:

8.95

Step-by-step explanation:

when you divide it 44.75 divided by 5 it willl appeer the price of only one

Answer:

$8.95

Step-by-step explanation:

44.75/5=8.95