consider the following function f(x)= -9 (1/3) x+3

Answer:

x = 1 ; x = 8

Step-by-step explanation:

6x² - 5x + 10 = 5x² + 4x + 2

x² - 9x + 8 = 0

x² - 8x - x + 8 = 0

x(x - 8) - (x -8) = 0

(x - 8)(x - 1) = 0

x = 1, x = 8

Answer:

x=8     x=1

Step-by-step explanation:

f(x) = g(x)

6x^2 -5x +10 = 5x^2 +4x+2

Subtract 5x^2 from each side

6x^2-5x^2 -5x +10 = 5x^2-5x^2 +4x+2

x^2 -5x +10 = 4x+2

Subtract 4x from each side

x^2 -5x-4x +10 = 4x-4x+2

x^2 -9x +10 = 2

Subtract 2 from each side

x^2 -9x +10-2 = 2-2

x^2 -9x +8 =0

Factor

What 2 numbers multiply to 8 and add to -9

-8 *-1 = 8

-8-1 = -9

(x-8) (x-1) =0

Using the zero product property

x-8 = 0   x-1 =0

x=8     x=1

The mean absolute deviation (MAD) is a measure of the spread of a data set, calculated as the average of the absolute deviations of each data point from the data set's mean. For the given data set, the MAD is approximately 2.42.

The mean absolute deviation (MAD) of a data set is a measure of variability that represents the average difference between each data point and the mean of the data set. To calculate MAD, follow these steps:

For the data set 8, 5, 12, 4, 5, 8, 7, 1, 2, 5, 7, the mean is 5.8 (sum of all numbers divided by the number of numbers). Here are the deviations from the mean:

Summing all the absolute deviations gives us 26.6. With 11 data points, the MAD is 26.6 / 11 = 2.42.

Answer:

= 168 hrs of work

Step-by-step explanation:

I week = 7 days

If 1 day = 24hrs

What about 7 days = ?

= 7 x 24

= 168 hrs of work

To get how much he gets per hour, you divide 300 by the number of hours

= 300 ÷ 168

= 1.785

= 1 dollar 79 cents

Answer:

473 adult tickets and 782 student tickets

Hope this helps :)

Answer:

Well, Your best answer will be is 35.

Here's a Explain.

W-5=0

W=5 That's for the width.

L=3*5-8

L=15-8=7 And, That's for the length.

Here's proof.

35=7*5

35=35

Hope That Helps!~

[tex]^{Itsbrazts}[/tex]

Answer:

1st, 3rd, and 4th options

Answer:

12,6

Step-by-step explanation:

The factor pair of 72 is 12 and 6 because, factors are the 2 numbers you multiply together to get the product. In this case, the product is 72. 12x6=72 So therefore, 12 and 6 are the factors of 72. You can figure this out simply by multiplying 12 and 6 together.

The factor pairs of 72 are (1,72), (2,36), (3,24), (4,18), and (6,12).

To find the factor pairs of 72, we need to find pairs of numbers that multiply together to give us 72. Let's list all the factors of 72 and check which pairs multiply to give us 72:

So, the factor pairs of 72 are (1, 72), (2, 36), (3, 24), (4, 18), and (6, 12).

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Answer:

C. 3/2 Radians

Step-by-step explanation:

As we know, a radian is defined as "the angle enclosed by an arc equal to the radius", or some variant of such.

This means 1 radian in this circle would have an arc length of 8cm.

Simple proportions should get you an answer:

[tex] \frac{1 \: radians}{8cm} = \frac{x \: radians}{12cm} \\ 8x = 12 \\ x = \frac{12}{8} \\ x = \frac{3}{2} [/tex]

Answer:

The legs of a 45 45 90 are equal

And the length of the hypotenuse equals

leg * square toot of 2

Step-by-step explanation:

Do you mean the square root? That is what I am going to answer here.

138.7401600114401 is the square root

I hope this helps.

Answer:

2 · 9,624.416

Step-by-step explanation:

19,248.832 ÷ 2 =

9,624.416

Answer:

5/3 or 1.66666666 or 1 2/3

Step-by-step explanation:

Subtract like normal

Look at the attached picture

Hope it will help you...

The expression that represents the length of a side of the cube should be S= 3 times 3 times 3

Since The volume of a cube is 27 cubic inches.

Here we know that

The volume is the cube of the side is [tex]side^3[/tex]

So basically 3 sides should be multiplied to determine the volume.

Hence, we can conclude that The expression that represents the length of a side of the cube should be S= 3 times 3 times 3

Learn more about volume here: https://brainly.com/question/864985

Answer:

It is a

Step-by-step explanation: I looked it up

Answer:

  C.  4.91%

Step-by-step explanation:

The effect of frequent compounding is to increase the nominal interest rate by a small factor. For interest rates in a practical range (<20%/year), the effective increase in rate will be approximately half the original interest rate.

For an interest rate of 4.8%, we expect the compounding to increase it by less than 2.4%. The maximum effective rate due to compounding is approximately (4.8%)(1 +2.4%) ≈ 4.91%.

For nominal annual rate r compounded n times per year, the effective annual rate is ...

  r' = (1 +r/n)^n -1

For r = 0.048 and n = 12, this becomes ...

  r' = (1 +0.048/12)^12 -1 = 1.004^12 -1 ≈ 1.049070208 -1 ≈ 4.91%

__

Additional comment

After you have worked with interest compounding for a bit, you realize compounding increases the effective rate by a small amount. That means the value will be more than 4.8% (eliminating choices A and D), but certainly will not be as high as 10% (eliminating choice B). The only reasonable choice is C, which happens to be the correct one.

Answer:

Inequality : 4x+8 < 120

x<28

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Perimeter of a rectangle (P)= 2 length +2 width

Where:

Width = x

Length = x+4

Replacing with the values given

P = 2 (x+4) + 2x

P = 2x+8+2x

P=4x+8

Since the perimeter of the rectangle must be less than 120:

4x+8 < 120

Solving for x

4x<120-8

4x<112

x<112/4

x<28

Feel free to ask for more if needed or if you did not understand something.  

To find the values of x for which the perimeter of a rectangle is less than 120, you would solve the equation 2*(x + (x+4)) < 120. After simplifying and solving, the result is x < 28.

In this problem, you are asked to find the values of x for which the perimeter of a rectangle is less than 120. The rectangle has width of x and a length of x plus 4.

The perimeter of a rectangle is defined as 2*(length + width). Plugging the lengths in for our rectangle, we get 2*(x + (x+4)) < 120. Simplifying this inequality gives 2*(2x + 4) < 120

From there, you want to distribute the 2 across the equation, which gives 4x + 8 < 120. Subtract 8 from both sides to get 4x < 112, and then divide both sides by 4 to find x < 28. So, the possible values of x are those less than 28.

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Answer:

x = 20.3

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp / adj

tan 55 = 29 /x

Multiply each side by x

x tan 55 = 29

Divide by tan 55

x = 29 / tan 55

x =20.30601861

To the nearest tenth

x = 20.3

a. If you double both sides, you'll get a rectangle with dimensions 20 feet wide and 30 feet long, therefore the area will be 20 × 30 = 600 feet².

b. The area of the old rectangle was 10 × 15 = 150 feet², so no the area is not twice as large, it is 4 times as large. This is because if the area is base × height, then doubling both of these gets you (2 × base) × (2 × height) = 4 × (base × height).

I hope this helps!

Answer:

The width of the tank is 12.5 feet

Step-by-step explanation:

We need to find the width, not height of the rainwater tank, since the height is already given.

The volume of a rectangular prism is given as:

V = L * W * H

where L = length of the tank

W = width of tank

H = height of tank

We have its volume as 375 cubic feet and the length, L, as 15 feet and height, H, as 2 feet.

Therefore, its width is:

375 = 15 * W * 2

375 = 30W

=> W = 375 / 30

W = 12.5 feet

The width of the tank is 12.5 feet.

Answer:

none

Step-by-step explanation:

Answer:

Coffee doing it rn

Step-by-step explanation:

Answer:

I got 159.25. I hope this helps.

Answer:

[tex]A[/tex] ≈ [tex]80.03[/tex]

Step-by-step explanation:

I used the equation  [tex]A=[/tex] π[tex]r(r+h^{2}+r^{2})[/tex] to find the surface area

i hope this helps

Answer: number of times feliz can drive to or from work with the gas in his tank is 10 times

Step-by-step explanation:

Let's start by reviewing the slope-intercept formula:

y = mx + b

At the start of the journey, we have a tank that's 5/6 full and have yet to go anywhere. That means that our b is 5/6.

Thus:

y = mx + 5/6

Now, every time he drives to or from work, be loses 1/12 of a full tank.

Thus;

y = -(1/12)x + 5/6

negative because the initial volume of gas is decreasing whenever he goes out.

Now, to get the number of times feliz can drive to or from work with the gas in his tank, y = 0.

Thus,

0 = -(1/12)x + 5/6

Add (1/12)x to both sides to give;

(1/12)x = 5/6

x = 5/6 ÷ 1/12

x = 10

Answer:

The formula to calculate the account value in future (compounded monthly):

A = Principal x (1 + rate/12)^(month)

=> 2500 = 1300 x (1 + (3.5/100)/12)^(month)

=> (1 + 0.00291)^(month) = 2500/1300

=> 1.00291^(month) = 1.923

=> month = log(1.923)/log(1.00291) = 225

=> It will take 225 months to have 2500 dollar in account.

Hope this helps!

:)

Answer:

30 grams

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

The fraction that makes the statement true is 1/10.

The sentence would be: "0.1 is a rational number because it can be written as 1/10."

The statement "0.1 is a rational number because it can be written as 0.1" is not accurate.

The decimal 0.1 is already a rational number because it can be expressed as the fraction 1/10.

Therefore, the correct sentence would be:

"0.1 is a rational number because it can be written as 1/10."

Question

Choose a fraction that makes the following sentence true. 0.1 is a rational number because it can be written as 0.1

Answer:

C

Step-by-step explanation:

Option C is the only one that's linear because it follows all of the rules for a line to be linear. To check, use the process of elimination:

A). When x is an absolute value, the line will not be linear because an input will have two outputs.

B). x cannot be in the denominator of a fraction for the line to be linear

D). Once again, x cannot be an absolute value.

*Note: I'm assuming in option B, 7x is in the denominator and 1 is in the numerator. If the fraction is simply​ 1/7 multiplied by x, it is linear along with C.

Answer:

C

Step-by-step explanation:

i took the k12 test

Answer:

[tex]\sin{A}=21/29\\\cos{A}=20/29\\\tan{A}=21/20[/tex]

Step-by-step explanation:

The sine of an angle in a right triangle is the ratio of the side across from the angle with the hypotenuse of the triangle (the hypotenuse is the side across from the right angle). In this case, the sine of angle A, shortened to [tex]\sin{A}[/tex], is [tex]21/29[/tex].

Cosine is short for "complementary sine." If the angles A + C = 90, the cosine of A is equal to the sine of C, since A and C are complementary. So [tex]\cos{A}=\sin{C}=20/29[/tex]. Notice that this ratio is the same as the ratio of the side adjacent to angle A (AB), to the hypotenuse.

The tangent is the ratio of the side opposite an angle to the side adjacent to it. Here, [tex]\tan{A}=21/20[/tex]. So, our trig ratios for this angle are

[tex]\sin{A}=21/29\\\cos{A}=20/29\\\tan{A}=21/20[/tex]