if f(x)=x^2 and g(x)=1/2x+3 find g(f(-1))

Points from correct answers: 8*10=80

Incorrect answers: 18*5=90

So total points is -10 points

Answer:

y=2x-3

Step-by-step explanation:

The slope intercept form is y=mx+b, where m is the slope and b is the y intercept.

y+7=-2(x-3)  in slope formula would be y=2x-3, which also means the slope would be m=-2

I hope this helps :)

Answer:

Step-by-step explanation:

[tex]5.003*10^{9}=5,003,000,000[/tex]

5.003* 10⁹ < 5,083,000,000

Answer:1256

Step-by-step explanation:

You need to find the area which is Area=3.14xradiusxradius

So in short hand A=3.14x20x20 which is 1256 feet

Answer:

12 divided by 1/2 = 24

Step-by-step explanation:

Answer:

The length of the actual tractor is:

Step-by-step explanation:

Firstly, you must know the conversión between inches and feet:

Or

How the paragraph says that the scale is 1 to 64, it means by each unit in the scale, the unit in the actual tractor is 64 times bigger, so, you must multiply the measure of the model by 64 to obtain the actual length in inches:

The paragraph says the length must be in feet, so we must apply the conversion given above in a simple rule of three how I'll show below:

And we operate:

After we cancel the unit "inches:"

For this reason, we obtain the final value of 56 feet to the actual length of the tractor.  

Answer: 2) 0.275

Step-by-step explanation:

Total households = 160

Watch Cable TV: 109

Watch internet TV: 88

Watch neither: 7

We want to find the number that watch both of them.

Now, the total number of housholds that watch at least one thing is:

160 - 7 = 153.

Now, if we add the number that watch by cable and the number that watch by  internet we have:

109 + 88 = 197

The difference is:

197 - 153 = 44

This means that we have 44 households that watch both things.

This is because we are counting those 44 in the 109 for cable and also in the 88 for internet (because they watch both) and this is why we have a surpass.

Then the number that watch both things is 44, then the probability that a random household watched both things is equal to:

P = 44/160 = 0.275

The correct option is 2

Answer:

Hi there, are you sure you didn't forget any parenthesis or signs? I can't find the right answer in the options, the one that would end up at -0.2 in the end I can edit my answer if you tell me some additional option or info about the expression I need to show on the number line

Step-by-step explanation:

which number line shows correctly -0.8 + 0.6?

well lets write it in words minus eight tenths plus six tenths\

so minus:

you go 0.8 units to the left from 0,

then plus:

you go 0.6 units right from -0.8, getting to -0.2

since there is no exact answer like that we can rearrange the addends 0.6-0.8, now:

we go from 0 6 tenths units to the right and get to 0.6, then we go from 0.6 eight tenths unit to the left to get to -0.2

The correct option is Option A: the number line goes from -1.6 to 1.6. An arrow goes from -0.8 to -0.2, and then backs from 0 to - 0.8.

The number line is a straight line that is infinitely extended on which integers are placed in a unit interval.

Here given that we have to find the number line which shows -0.8 + 0.6

By checking all the options

Option A: in this option arrow goes from -0.8 to -0.2. the distance covered will be -0.2-(-0.8)= -0.2+0.8= 0.6. Then arrow backward from 0 to -0.8. then the distance will be -0.8-0= -0.8. So total displacement will be -0.8+0.6.

Hence option A is correct.

Option B: in this option arrow goes from 0 to -0.8 then the distance will be -0.8-0= -0.8. Then the arrow goes from -0.8 to -1.4. then the distance will be= -1.4-(-0.8)= -1.4+0.8= -0.6. So total displacement will be -0.8-0.6.

Hence Option B is incorrect.

Option C: in this option arrow goes from 0 to 0.8 then the distance will be =0.8-0= 0.8 then the arrow goes from 0.8 to 1.4. Then the distance will be 1.4-0.8= 0.6. So the total displacement will be 0.8+0.6

Hence Option C is incorrect.

Option D: in this option arrow goes from -0.6 to 0.2 then the distance will be 0.2-(-0.6)= 0.8 then the arrow goes from 0 to -0.6 then the distance will be= -0.6-0= -0.6. Then the total distance will be -0.6+0.8

Hence Option D is incorrect.

Therefore the correct option is Option A.

Learn more about the number line

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Answer:

Part A: D. [tex]y = (x + 1)(x+3)\\[/tex]

Part B: C. [tex]3x(x-3) = 0\\[/tex]

Step-by-step explanation:

For part A) we just have to plug in 0 for x and solve for y until we find the equation that says 3 is the value for y when x is 0. For purposes of speeding up the process the correct answer is D. I will show how to check for it now.

The equation: [tex]y = (x + 1)(x+3)[/tex]

Now plug in 0 for x.

[tex]y = (0 + 1)(0+3)\\[/tex]

Now solve.

y = (1)(3)

y = 3

This proves that this is the correct answer.

For part B) we just have to plug in the give values for x separately and check for each value of x that it equals 0. For the purpose of speeding up the process the correct answer is C. I will show how to check for it now.

The equation: [tex]3x(x-3) = 0[/tex]

Now plug in x for 0 and solve:

[tex]3* 0 (0-3) = 0\\[/tex]

[tex]0(-3) = 0\\[/tex]

[tex]0 =0\\[/tex]

This equation is true, now we check for the other value of x, 3.

[tex]3*3(3-3) = 0\\[/tex]

[tex]9(0) = 0\\[/tex]

[tex]0 =0\\[/tex]

This is also true so that means this is the correct answer.

Answer:

a₁ = 3

Step-by-step explanation:

The sum to n terms of a geometric sequence is

[tex]S_{n}[/tex] = [tex]\frac{a_{1}(r^{n}-1) }{r-1}[/tex]

where a₁ is the first term and r the common ratio

Here [tex]S_{6}[/tex] = 189 and r = 2, thus

[tex]\frac{a_{1}(2^{6}-1) }{2-1}[/tex] = 189, that is

a₁( 64 - 1) = 189

63a₁ = 189 ( divide both sides by 63 )

a₁ = 3

Answer:

Option (B). Perimeter of the quadrilateral ABCD= 14.6 units

Step-by-step explanation:

From the figure attached,

Coordinates of the vertices are A(3, 5), B(1, 3), C(3, -1), D(5, 3).

Length of AB = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]

                      = [tex]\sqrt{(3-1)^2+(5-3)^2}[/tex]

                      = [tex]\sqrt{8}[/tex]

                      = 2.83 units

Length of AD = [tex]\sqrt{(3-5)^2+(5-3)^2}[/tex]

                      = [tex]\sqrt{8}[/tex]

                      = 2.83 units

Length of BC = [tex]\sqrt{(1-3)^2+(3+1)^2}[/tex]

                      = [tex]\sqrt{20}[/tex]

                      = 4.47 units

Length of DC = [tex]\sqrt{(5-3)^2+(3+1)^2}[/tex]

                       = [tex]\sqrt{20}[/tex]

                       = 4.47 units

Perimeter of the quadrilateral = AB + AD + DC + BC

                                                 = 2.83 + 2.83 + 4.47 + 4.47

                                                = 14.6 units  

Option (B) is the answer.

Answer:

5

Step-by-step explanation:

12 - (3+4)

12 - 7

12 - 7 = 5

5

Answer:

5

Step-by-step explanation:

12 - (3 + 4)

12 - 7

12 - 7 = 5

Answer:

w<0 or w>9

Step-by-step explanation:

2

w

+3>

29

w

3w+2

w

>

29

w

Let's find the critical points of the inequality.

3w+2

w

=

29

w

3w+2=29(Multiply both sides by w)

3w2+2w=29w(Multiply both sides by w)

3w2+2w−29w=29w−29w(Subtract 29w from both sides)

3w2−27w=0

3w(w−9)=0(Factor left side of equation)

3w=0 or w−9=0(Set factors equal to 0)

Answer:

Explanation:

2

w

+

3

>

29

w

First take LCM

2

+

3

w

>

29

w

Now you can remove the denominator(LCM) because it is on both sides.

So, we get

2 + 3w > 29

3w > 27

w>9

In this way, we get the answer.

Step-by-step explanation:

Answer:

D) The graph and the table

Step-by-step explanation:

The equation and the verbal description fully represent the situation because their representation is valid for all possible x values. On the other hand, the table and the graph only represent certain x values.

Answer:

The Graph And The Table

Step-by-step explanation:

Answer:

x=0

Step-by-step explanation:

Answer:

x=0

Step-by-step explanation:

9+10x=9

10x=9-9

10x=0

x=0

Answer:

C = 1.25n

Step-by-step explanation:

From the given table,

There is a common difference of $1.25 in every successive term to the previous term of the total cost,

Difference in the costs of 2 cans and 1 can = $2.50 - $1.25 = $1.25

Similarly, Difference in the costs of 3 cans and 2 cans = $3.75 - $2.50 = $1.25

Total cost of the cans are forming an Arithmetic sequence, explicit formula the sequence will be,

[tex]T_n=a+(n-1)d[/tex]

    = 1.25 + (n -1)(1.25)

Or, C = 1.25 + 1.25n - 1.25

     C = 1.25n

Answer:

There are 11 g of drink mix for every ounce of water.

Step-by-step explanation:

In order to calculate the unit rate in grams of drink mix for ounces of water of any type of drink, we need to divide the mass of drink mix in grams by the mass of water in ounces. In this case there are mixed fractions, we will first convert them to fractions, to do that we sum the fraction part with the integer one.

[tex]mix = 19 + \frac{1}{4}\\\\mix = \frac{77}{4}[/tex]

[tex]water = 1 + \frac{3}{4}\\\\water = \frac{7}{4}[/tex]

The rate is:

[tex]rate = \frac{mix}{water}\\\\rate = \frac{\frac{77}{4}}{\frac{7}{4}}\\\\rate = \frac{77}{7}\\\\rate = 11[/tex]

There are 11 g of drink mix for every ounce of water.

Answer:

There are 11 g of drink mix for every ounce of water.

Answer: $14

Step-by-step explanation:

Hi, to answer this question we have to multiply the amount of the cash advance (700) by the APR for cash advances in decimal form (divided by 100):

700 x (24/100) = $168 (a year)

To obtain the monthly charges, we have to divide the result by the number of months in a year (12):

168 /12 = $14

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

Answer:1/y^20

Step-by-step explanation:

Answer:

-8a times 1/9

Step-by-step explanation:

This can be thought of as -8a/1 times 1/9. (1/9 is the reciprocal of 9, so were just pulling the fraction apart)

The expression is as fraction times the variable is (-8/9)a.

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

In another word, the fraction is the division of the two numbers but the division is not wholly complete.

As per the given,-8a/9

The variable in the above fraction is a.

Thus, (-8/9)a will be the representation in terms of the product of constant and variable.

Hence "The expression is as fraction times the variable is (-8/9)a".

For more about fractions,

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Answer:

[tex]-3x+42[/tex]

Step-by-step explanation:

[tex](2x+38) - 5x +4[/tex]

[tex]2x+38 - 5x +4[/tex]

[tex]2x+38+ - 5x +4[/tex]

[tex]2x+-5x+38+4[/tex]

[tex]-3x+42[/tex]

Answer:

To get the function g, shift f up by 3 units and to the right by 9 units.

Step-by-step explanation:

The given functions are

[tex]f(x)=x^2[/tex]

[tex]g(x)=(x-9)^2+3[/tex]

If f(x) is a parent function, then g(x) can be written in the form of f(x) as

[tex]g(x)=f(x-9)+3[/tex]        ...(1)

The translation is defined as

[tex]g(x)=f(x+a)2+b[/tex]       ... (2)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (1) and (2), we get

[tex]a=-9,b=3[/tex]

It means, to get the function g, shift f up by 3 units and to the right by 9 units.

Answer:

To get the function g, shift f up by 3 units and to the right by 9 units.

Step-by-step explanation:

Answer:

Step-by-step explanation:

It is a function, since each student gets only one score one final exam,]

Domain is each student,

the first to last

Range is the score each student got:

(however the scoring was made)

f(each student) is a function because each student, or each element of the domain corresponds to the score, one and only one element of the range.

Answer:

The domain of f is 'the students in Mr. Well's history class'

The range of f is 'the final exam scores'

f 'is' a function because each student, or each element of the 'domain', corresponds to 'one' element of the 'range'

Answer:

Step-by-step explanation:

1. correspording: 2&5, 1&6, 3&8, 4&7

vertical: 2&4, 1&3, 5&7, 6&8

alt interior: 3&6 4&5

alt exterior:2&7 4&5

2. correspording: 1&5, 2&6, 3&7, 4&8

vertical: 2&4, 1&3, 5&7, 6&8

alt interior: 2&8 5&5

alt exterior:1&7 4&6

Answer:

the answer is 14.50 cm

Step-by-step explanation:

i took the test, and found this answer by multiplying the given information: 2.93, 2.04, and 2.28 by 2 and then adding them together. that will then give you 14.5. i did it this way because we are dealing with midsegments in this problem. this is just my way of doing it. have a great day!

Answer:

D. 14.50 cm

Step-by-step explanation:

Answer:

The correct option is;

There is a greater percentage of LA residents who own a car than NYC residents who do

Step-by-step explanation:

The values are presented as follows;

LA residents who own a car = 3251

NYC residents who own a car = 1478

Total residents who own a car = 4729

LA residents who do not own a car = 869

NYC residents who do not own a car = 6182

Total residents who do not own a car = 7051

Total LA residents sampled = 4120

Total NYC residents sampled = 7660

Total residents of both cities sampled = 11780

Percentage of LA residents who own a car = (3251/4120)×100 = 78.9%

Percentage of NYC residents who own a car = (1478/7660)×100 = 19.3%

The total number of people in the poll who own a car = 4729

Therefore, the correct option is that there is a greater percentage of LA residents who own a car than NYC residents who do.

Answer: B. There is a greater percentage of LA residents who own a car than NYC residents who do.

Answer:

B.

Step-by-step explanation:

According to the graph the function is defined for all real number except -3 and 7 (where the two red dashed vertical lines cross the x-axis)

so our function should be :

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

____________________________________

Hey!!!

The formula to find circumference of circle

=2 pi r

For eg:

Radius=4 cm

Circumference of circle=2 pi r

=2 *pi*4

=8 pi

Hope it helps..

Good luck on your assignment

#Stay safe#

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