Find the zeros of fhe function. Enter the solutions from least to greatest. f(x)=(x-2)^2-9
HELP!!!

Answer:

X= 80

Step-by-step explanation:

200% = X

100%  = 40

40 * 200% = 100% * X

8000 = 100 * X

8000/100 = 100*X / 100

X = 80

Answer:

-12

Step-by-step explanation:

12 - 15 = -3

4 ( -3 )

= -12

Answer: -12

Step-by-step explanation:

We have 4[12 -15]

Next, we have subtract in the parentheses since it's part of PEDMAS

12-15

After that, we get -3. Whenever a you multiply a whole number with a negative number, the whole becomes negative.

12- 15= -3

And Lastly, we multiply.

4x -3= -12

Hope this helps!

Answer:

160 .........................................................................

Answer:

The table shows that:

Therefore the line has a positive slope

Answer:

this is the closest i can get to the answer

1. 0.33/1 = 0.33

2. how much it costs per ounce

3. it represents the facts that it costs 0.33 per ounce

4. y=0.33x+0.33

sorry if it's wrong

Answer:

(C) Sophie used the wrong height for the pyramid.

Step-by-step explanation:

she should have subtracted 4 from 30 because that was apart of the prism

The total volume is 7448  cubic millimeters. Sophie has made mistake in copying height of pyramid.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Given that, a rectangular prism with a length of 28 millimeters, width of 21 millimeters, and height of 4 millimeters.

Volume of rectangular prism = Length×Width×Height

= 28×21×4

= 2352 cubic millimeters

A rectangular pyramid with a base of 28 millimeters by 21 millimeters and height of 26 millimeters.

Volume of a rectangular pyramid = (lwh)/3

= (28×21×26)/3

= 15288/3

= 5096 cubic millimeters

Total volume = 2352+5096

= 7448  cubic millimeters

Hence, Sophie has made mistake in copying height of pyramid.

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Answer:

34°

Step-by-step explanation:

complementary means they equal 90° so you just have to subtract 56 from 90 and then you get your answer.

It takes the balloon 0.6 minutes to reach an altitude of 454.6 feet above sea​ level

A linear equation is given by:

y =mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

Let y represent the altitude of the balloon at time x.

Given that a trend line passes through the point ​(0​,481​) and ​(10,39), the equation of the trend line is:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-481=\frac{39-481}{10-0}(x-0)\\\\y=-44.2x+481[/tex]

At 454.6 ft:

454.6 = -44.2x + 481

-26.4 = -44.2

t = 0.6 minutes

It takes the balloon 0.6 minutes to reach an altitude of 454.6 feet above sea​ level

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Answer:

Its A

Step-by-step explanation:

Given:

The number of alligators in a wildlife is given by the function

[tex]f(x)=3450(1.04)^{x+1}[/tex]

To find:

The average growth rate of change from the 4th year to the 7th year.

Solution:

We have,

[tex]f(x)=3450(1.04)^{x+1}[/tex]

For x=4, we get

[tex]f(4)=3450(1.04)^{4+1}[/tex]

[tex]f(4)=3450(1.04)^{5}[/tex]

[tex]f(4)=4197.4525[/tex]

For x=7, we get

[tex]f(7)=3450(1.04)^{7+1}[/tex]

[tex]f(7)=3450(1.04)^{8}[/tex]

[tex]f(7)=4721.5632[/tex]

Now, the average growth rate of change from the 4th year to the 7th year is

[tex]m=\dfrac{f(7)-f(4)}{7-4}[/tex]

[tex]m=\dfrac{4721.5632-4197.4525}{3}[/tex]

[tex]m=\dfrac{524.1107}{3}[/tex]

[tex]m\approx 174.70[/tex]

Therefore, the average growth rate of the change from the 4th year to the 7th year is 174.70 per year.

Answer: x= 10

Step-by-step explanation:

Sorry for my sloppy hand writing.

Answer: 0.75 Is bigger

Step-by-step explanation:

0.7 is 0.70

meaning 0.75 is bigger.

Answer:

.75 is larger

Step-by-step explanation:

Think about it in terms of whole number. 75 is greater than 70, therefore .75 is greater than .70

There is a hidden 0 after the .7

Answer

x = 21

HOS = 68

Explanation

The arrows beside x point to 12 and 6, which is a straight angle. Straight angles always add up to 180 degrees.

So that means 3x+5 plus 5x+7 must equal 180 degrees.

3x+5+5x+7 = 180

Combine like terms.

8x+12 = 180

Subtract 12 from both sides.

8x = 168

x = 21

But BE CAREFUL.

The problem is asking for the angle HOS.

To do this, just substitute what you got for x into the expression.

3(21)+5 = 68

The value of HOS is 68 degrees.

Answer:

$138.78

Step-by-step explanation:

152.50 decrease 9% =

152.50 × (1 - 9%) = 152.50 × (1 - 0.09) = 138.775

Answer:

Step-by-step explanation:

Answer:

tangent; inverse; 28.6

Step-by-step explanation:

You have given two legs;

You would use the inverse function, you are not given an angle;

g is about 28.61 degrees

Answer: y = 14^x

Step-by-step explanation:

Here the options are:

a y = 14^x

b y = -3*(17)^x

c y = 120x

d y = -275x

to see which function increases the fastest (or which function is steeper) we need to look at the first derivations of each one of these, and see which one is larger for every value of x:

the derivations are:

a y = x*14^(x - 1)

b y = -x*3*(17)^(x  - 1)

c y = 120

d y = -275

So we can already discard options c and d, because have constant rate of change.

Then we keep options a and b.

Always when we have an exponential function, like a^x and b^x

The one with the larger base will be steeper.

So if a > b, then:

a^x is steeper than b^x

In this case, the function:

y = -3*(17)^x

has a larger base, but, this function is negative.

This means that as x increases, our function will decrease, then this function will not "increase the fastest" (because it does not increase)

Then the left option (a: y = 14^x)

Will be the correct one.

(this will happen after some value of x, because two of the options have constant derivatives, these may be steeper for smaller values of x, and as x increases, we will see that y = 14^x is the one that increases the fastest)

Answer: (-5,1)

Step-by-step explanation: that should be right

Given:

Total number of coins (Quarters and dimes) = 60

Total amount = $12.45

To find:

The number of quarters and dimes.

Solution:

Let x be the number of quarters and y be the number of dimes.

We know that,

1 quarter = 0.25 dollar

1 dime = 0.10 dollar

Total coins: [tex]x+y=60[/tex]               ...(i)

Total amount: [tex]0.25x+0.10y=12.45[/tex]             ...(ii)

From (i), we get

[tex]y=60-x[/tex]          ...(iii)

Putting this value in (ii), we get

[tex]0.25x+0.10(60-x)=12.45[/tex]

[tex]0.25x+6-0.10x=12.45[/tex]

[tex]0.25x-0.10x=12.45-6[/tex]

[tex]0.15x=6.45[/tex]

Divide both sides by 0.15.

[tex]x=\dfrac{6.45}{0.15}[/tex]

[tex]x=43[/tex]

Putting x=43 in (iii), we get

[tex]y=60-43[/tex]

[tex]y=17[/tex]

So, the number of quarters is 43 and the number of dimes is 17.

Therefore, the correct option is b.

Answer:

The good kind

Step-by-step explanation:

Yes

Answer:

15n+19.95=c

Step-by-step explanation:

15 per yearbook plus 19.95 equals the total cost

Answer:

2

Step-by-step explanation:

Inclined plane ; wheel and axle.

Answer: Around 1.33 Cups per batch

Step-by-step explanation:

4 / 3 ≈ 1.33

Answer:

1 1/3

Step-by-step explanation:

Math

Answer:

Step-by-step explanation:

Answer:

Babies of 33 week weighs relatively less than the babies of 41 week.

Explanation:

Z score is determined by

x-u/sd

A) For 33 Week baby

Given

Mean 2500

SD 800

Z score is

2600-2500/800 =0.125

B) For 41 Week baby

Given

Mean 2800

SD 425

x=2900

Z score is

2900-2800/425 =0.235

The z score depicts that the baby of 33 week or 41 week weighs more than the normal babies of same age group.

Thus, babies of 33 week weighs relatively less than the babies of 41 week.

Answer: [tex]x=\sqrt{18}[/tex]

Step-by-step explanation:

We can use Pythagorean's Theorem for the triangle on the bottom. The resulting answer will give the side length of the square.

[tex]3^2+3^2=\sqrt{18}[/tex]

Answer:

it was a 2 year loan with $210 contributed each year

Step-by-step explanation:

you take 7 percent of 300 which is 210 and see how many times it goes into the total interest amount and then your answer is how many years the loan was for