Let f(x) = -3x and g(x) = 2x-1
Find the following:
(fog)(1)

There are not just "the two ways" to represent this expression. There are two ways, surely, but they are not the only ways as implied.

You could expose 4 and get something like [tex]4(\frac{3}{4}-n)[/tex] or expose 3 and get something like [tex]3(1-\frac{4}{3}n)[/tex].

But you could also say something like [tex]3-(1+3)n=3-n-3n=-3(n-1)-n[/tex]... in fact there are a lot of ways to write any expression.

Hope this helps :)

Answer:

The multiples of 4 that are less than 30 are 4, 8, 12, 16, 20, 24, 28

Answer:

B

Step-by-step explanation:

(7×2)⁶

when we put a number to the power of something, we need to include the whole number. bit just a part of it.

so, it must be 7⁶×2⁶

just think about the simple example 6², which we could write as (2×3)².

would it be sufficient to e.g. square only one of the factors ?

6² = 36

but e.g. 2×3² = 18. so, that's really not it.

or add the two factors and then square them ?

2+3 = 5. 5² = 25. so, that's not it either.

or multiply the exponent in ?

2×3×2 = 12. so that's not it either.

no, it truly is you need to do the operation to all parts.

2²×3² = 4×9 = 36. yes, that fits.

therefore, B is the right answer.

Answer:

50 yellow marbles.

Step-by-step explanation:

Information:

170 marbles

RED : BLUE : YELLOW

9 : 3 : 5

Solving:

To find out how many yellow parts there are, we need to find out how many marbles 5 parts account to.

Altogether, 9 + 3 + 5 = 17. This means there are 17 parts.

The bag contains 170 marbles and the ratio adds up to 17 parts.

We can figure out what 1 part of the ratio accounts to by dividing 170 by 17.

[tex]\frac{170}{17}[/tex] = 10.

1 part = 10

Now remember yellow is 5 parts, now that we know that 1 part is 10, we need to multiply 10 by 5 to find out how many yellow marbles we have.

5 x 10 = 50.

Therefore we have 50 yellow marbles.

The number of yellow marbles in the bag is 50

Ratio shows the relationship among numbers. Ratio is the frequency a value is contained in other values.  For example, if the ratio of boys to girls in a class is 2:1. It means that there are twice as many boys in the class as there are boys.

In order to determine the number of yellow marbles in the bag, express the ratio of the yellow marbles as the sum of the total ratio and multiply by the total number of marbles in the bag.

Number of yellow marbles = (ratio of yellow marbles / sum of ratios) x total number of marbles

Sum of ratios = 9 + 3 + 5 = 17

(5 / 17) x 170 = 50 marbles.

To learn more about ratios, please check: https://brainly.com/question/19257327?referrer=searchResults

Answer:

[tex]x = 3[/tex]

or

[tex]x = - 3[/tex]

Step-by-step explanation:

Set up equation

[tex]2 {x}^{2} - 18 = 0[/tex]

Add 18 on both sides

[tex]2 {x}^{2} = 18[/tex]

Divide both sides by 2.

[tex] {x}^{2} = 9[/tex]

Take the square root of 9

Remeber square root solutions produce positive and negative Solutions.

[tex]x = 3[/tex]

[tex]x = - 3[/tex]

Answer: 27

Step-by-step explanation: hihihihihiiiiihihi

27 is considered an outlier for the data set.

In statistics, a quartile exists as a variety of quantiles which divides the number of data points into four parts, or quarters, of more or less equal size. The data must be ordered from smallest to largest to calculate quartiles; as such, quartiles exist a form of order statistic.

A quartile separates data into three points—a lower quartile, median, and upper quartile—to form four sets of the dataset.

Hence, 27 is considered an outlier for the data set.

To learn more about quartiles refer to:

https://brainly.com/question/9260741

#SPJ2

9514 1404 393

Answer:

  C.  60%

Step-by-step explanation:

Of the 5 bowls listed, bowls 2 and 4 are out of the allowed tolerance range. That leaves 3 of the 5 bowls that can be used.

  3/5 × 100% = 60% . . . fraction of bowls that can be included

Divide through everything by b :

[tex]\dfrac{a+c}{b+d} = \dfrac{\dfrac ab + \dfrac cb}{1 + \dfrac db}[/tex]

Since a/b < c/d, it follows that

[tex]\dfrac{a+c}{b+d} < \dfrac{\dfrac cd+\dfrac cb}{1 + \dfrac db}[/tex]

Multiply through everything on the right side by b/d to get

[tex]\dfrac{a+c}{b+d} < \dfrac{\dfrac{bc}{d^2}+\dfrac cd}{\dfrac bd+1} = \dfrac{\dfrac cd\left(\dfrac bd+1\right)}{\dfrac bd+1} = \dfrac cd[/tex]

and so (a + c)/(b + d) < c/d.

For the other side, you can do something similar and divide through everything by d :

[tex]\dfrac{a+c}{b+d} = \dfrac{\dfrac ad + \dfrac cd}{\dfrac bd + 1}[/tex]

and a/b < c/d tells us that

[tex]\dfrac{a+c}{b+d} > \dfrac{\dfrac ad + \dfrac ab}{\dfrac bd + 1}[/tex]

Then

[tex]\dfrac{a+c}{b+d} > \dfrac{\dfrac ab + \dfrac{ad}{b^2}}{1 + \dfrac db} = \dfrac{\dfrac ab\left(1+\dfrac db\right)}{1 + \dfrac db} = \dfrac ab[/tex]

and so (a + c)/(b + d) > a/b.

Then together we get the desired inequality.

Answer:

54

Step-by-step explanation:

6x5=30

3x8=24

30+24=54

Answer:

6.89

Step-by-step explanation:

Do what's in the parentheses first then the rest and I rounded. Hope this helps!

Answer:

it is rational

Step-by-step explanation:

Answer:

it's rational number

I hope it's helps you

Answer:

D. rectangles

Step-by-step explanation:

Perpendicular is when they cross but the base isn't perpendicular

Parallel is when two lines never touch, but in the base of a prism there are lines that touch

Intersecting is when two or more lines meet and cross over each other

Answer:

D. 40

Step-by-step explanation:

A central angle is equal to the measure of its corresponding arc.

angle AOB is a central angle and it's corresponding arc is arc AB

this means that arc AB = measure of angle AOB

If angle AOB = 80 degrees then arc AB equals 80 degrees too.

An inscribed angle is equal to half the measure of its intercepted arc.

Angle ACB is an inscribed angle and the arc it intercepts is arc AB

This means that angle ACB = 1/2 of arc AB

We have found that the measure of arc AB is 80 degrees.

This means that angle ACB = 1/2 of 80 which is 40

Answer:

-4/3

Step-by-step explanation:

To find the slope you do rise over run. The line goes down by four and to the right by three between the two points so the slope is -4/3/

Answer:

999

Step-by-step explanation:

Answer:

30 tsp of sugar

Step-by-step explanation:

If 20 is 2 parts of the 5 parts  then 1 part is 10

 10x3 =30

   30 to 20    =  3 to2

[tex]\\ \rm\hookrightarrow Slope=m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\\ \rm\hookrightarrow m=\dfrac{4-9}{-1-2}[/tex]

[tex]\\ \rm\hookrightarrow m=\dfrac{-5}{-3}[/tex]

[tex]\\ \rm\hookrightarrow m=\dfrac{5}{3}[/tex]

Answer:

-13/3

Step-by-step explanation:

The formula for slope is [ y2-y1/x2-x1 ].

4-(-9)/-1-2

13/-3

-13/3

Best of Luck!

Answer:

Try 0.17? I hope it's right

Answer:

2 10/15 or 2 2/3 (simplified)

Step-by-step explanation:

To Multiply we need to get the same denominator for each fraction:

2 x 5 =10

3 x 5 =15

10/15

4/15 x 10/15 (or) 4 x 10 = 40/15

40/15 (also) = 2 10/15

2 2/3 (simplified version of 2 10/15)

Hope This Helps! :)

Step-by-step explanation:

i don't get the question

Answer:

It is 9 months

Step-by-step explanation:

[tex] = 20\% \times 3 \frac{3}{4} \\ \\ = \frac{20}{100} \times \frac{15}{4} \\ \\ = \frac{300}{400} \\ \\ = \frac{3}{4} \: \: { \sf{years}}[/tex]

convert them to months by multiplying by 12:

[tex]{ \sf{ = \frac{3}{4} \times 12}} \\ \\ = { \sf{9 \: months}}[/tex]

Answer:

10.89

Step-by-step explanation:

3.3 to the power of two is just saying 3.3 squared. which is just multiplying the number by itself.

so 3.3 times 3.3 = 10.89

Answer:

230[tex]cm^{2}[/tex]

Step-by-step explanation:

17*10=170

12*10*1/2=60

170+60=230

The range of the exponential function is: B. [tex]g(x)>-6[/tex]

Recall:

Range of any function includes all possible values of y (output)

Domain of any function includes all possible values of x (input).

Thus:

The values of y in the exponential function greater than -6 on the y-axis as shown in the graph given.

Therefore:

Range of the exponential function given in the graph is: B. [tex]g(x)>-6[/tex].

Learn more about exponential function here:

https://brainly.com/question/19554225

Answer: ACB   Welcome:)

Step-by-step explanation:

if it is 180 degree then it HAS to be in the order A C B because C is the middle point:)

Hope that helps!

Answer:

38

Step-by-step explanation:

10 + 4 + 2 + 9 = 25

That's the stuff we're given.

Now the other sides.

10 - 2 = 8,

9 - 4 = 5,

25 + 8 + 5 = 38

Answer:

1/3

Step-by-step explanation:

To get the amount of paint,you will have to deduct the number of paint she used to start minus the amount of of gallon she finished with.

5/6-1/2

L.C.M

10-6/12

4/12

=1/3

Answer:

ok

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

For a function to be a function, every x value can only equal a single y value. A has two y values for one x value, and so does C and D. This leaves only B.