The table below represents the function f, and the following graph represents the function g. x -6 -5 -4 -3 -2 -1 0 1 f(x) 8 -2 -8 -10 -8 -2 8 22 Complete the following statements. The functions f and g have . The y-intercept of f is the y-intercept of g. Over the interval [-6, -3], the average rate of change of f is the average rate of change of g

Answer:

correct option is A i.e. 8/3

Answer:

b = -4, 0

Step-by-step explanation:

Given :

Take b as a common factor.

Solutions

Answer:

b = - 4, b = 0

Step-by-step explanation:

b² + 4b = 0 ← factor out b from each term

b(b + 4) = 0

equate each factor to zero and solve for b

b = 0

b + 4 = 0 ⇒ b = - 4

There is no answer? So how am I supposed to answer it?

Answer:

Yeah How am I supposed to answer it?

Step-by-step explanation:

The percentage of time spend at least 80 minutes on homework will be 66.66%.

The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.

Given that:-

The time he spent on homework each night. this box plot shows the results.

The time spent on homework (min.) 20 40 60 80 100 120.

The percentage will be calculated as:-

Maximum time spent = 120 minutes

The percentage for 80 minutes of homework will be:-

=   120  /  80

=   0.66=66 = 66.66%

Therefore the percentage of time spend at least 80 minutes on homework will be 66.66%.

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Answer: 25%

Step-by-step explanation:

The longest line segment that can be drawn in a right rectangular prism that is 14cm long, 13cm wide and 11cm tall is 19.1cm.

A right rectangular prism is a three dimensional solid shape formed by 6 rectangles.

it is also called the cuboid.

Analysis:

The diagonal of the face of the prism with dimensions 14cm long and 13cm wide is the longest line segment that can be drawn.

Since rectangles have 90° on each vertex, we can use Pythagoras theorem to calculate for the length of the diagonal.

[tex](diagonal)^{2}[/tex] = [tex](length)^{2}[/tex] + [tex](width)^{2}[/tex]

[tex](diagonal)^{2}[/tex] = [tex](14)^{2}[/tex] + [tex](13)^{2}[/tex]

                 = 196 + 169 = 365

 [tex](diagonal)^{2}[/tex] = 365

diagonal = [tex]\sqrt{365}[/tex] = 19.1cm

In conclusion, the length of the longest diameter is 19.1cm

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The equation that we need to solve is:

$157 + $50*m = $50 + $60*m

And the solution is m = 10.7 months.

For the first runer we have a initial amount of $112 + $45 = $157 plus $50 per month, so we can write:

f(m) = $157 + $50*m

And the second runner has an initial amount of $50 and saves $60 per month, so we can write the linear equation:

g(x) = $50 + $60*m

They will have the same amount of money when:

f(x) = g(x)

$157 + $50*m = $50 + $60*m

$107 = $10*m

$107/$10 = m = 10.7

So, after 10.7 months, both accounts will have the same money.

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Answer:

y=4x-20

Explanation:

Since we already have a slope, all we need to do is just find the y-intercept. To do this we can make an XY t-chart.

Using the chart we can see that for every x that decreases, a y decreases 4 times. So if we subtract 5 from x, we will multiply 5 times y. Note that this graph is increasing so the y-intercept is negative. -5 · 4 = -20

   X  |  Y

   6  |  4

   5  |  0  

   0  |  -20

Hope this Helps!

The limits of the domain and the range are 0 to 200, respectively; and you would use the minimum and maximum values of the domain and range because the graph of the inequality uses a solid line.

The items selected here could be any of the listed drinks and food items.

To solve this question, we use the following selection:

In this case, we use the less than or equal to inequality.

So, we have:

0.5x + 0.5y ≤ 100

In (b), we have:

0.5x + 0.5y ≤ 100

Subtract 0.5x from both sides

0.5y ≤ -0.5x + 100

Divide through by 0.5

y ≤ -x + 200

This means that the slope is -1, and it means that for every food item bought, there is a decrement of 1 in the drink.

See attachment for the graph of the inequality

The features of the graph include

From the attached graph, we have:

This means that you can buy 200 food items, when you buy no drinks or buy 200 drinks when you buy no food item

These are the acceptable x and y values of the graph.

From the attached graph, we have:

The domain and range are different from the domain and range of any linear equation because the domain and the range of a linear equation is the set of all real numbers, while this domain and range are limited to 0 to 200

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Answer:

∠G = 53°

∠H = 90°

∠I = 37°

Step-by-step explanation:  

∠H = 90°  because it is a right angle and all right angles = 90°

The sum of all angles in a triangle = 180°

∠H + ∠G + ∠I = 180°

90° + (5x - 7)° + (3x + 1)° = 180°

5x - 7 + 3x + 1 = 90°                         Subtract 90° from both sides

8x - 6 = 90                                       Adding like terms

8x = 96                                            Adding 6 to both sides

 x = 12                                             Dividing both sides by 8

Now solve for ∠G and ∠I using 12 as the value for x

∠G = (5x - 7)°                 ∠I = (3x + 1)°

∠G = 5·12 - 7                  ∠I = 3·12 + 1

∠G = 53°                         ∠I = 37°

Answer:

G.31

Step-by-step explanation:

when n = 31

1116n = 1116*31 = 34596

34596 is square of 186.

= 186^2

= 34596

and other values (24,28,33) of n does not give square during 1,116n but 31 gives.

Hence, 31 is the possible value of n for which 1,116n is the square of an integer(186).

Answer:

90

Step-by-step explanation:

Formula : 180 ( n - 2 ) / n         n being the amount of sides

180 ( 4 - 2 ) / 4 = 90

Answer:

KM = 7

LM = 7

KL = 11

Step-by-step explanation:

Isosceles triangles have 2 congruent sides (in this case they are KM and LM

This means 4d-13 = 12-d

We can now solve for d

4d-13 = 12-d | add d to both sides

5d-13 = 12 | add 13 to both sides

5d = 25 | divide both sides by 5

d = 5

Now we can solve for the 3 sides of triangle KLM

KM = 7

LM = 7

KL = 11

That is your answer

- Kan Academy Advance

Answer:

Step-by-step explanation:

(x - 5)(x + 2) = 0

x - 5 = 0

x = 5

x + 2 = 0

x = -2

x = 5, -2

Answer:

the answer is 10z

Step-by-step explanation:

7+1=8

8+2=10

10z

Answer:

Step-by-step explanation:

Formula

d = speed * time

d = s * t

Givens

t = 1 hour

t2 = 3 hours

s = 5 miles / hour

Solution

t = 1 hour

d = s * t

d = 5 mph * 1 hour

d = 5 miles

t = 3 hours

d = s * t

d = 5 miles / hour * 3 hours

d = 15 miles

Answer

d = s * t

d = 5 miles

d = 15 miles

Answer:

la respuesta es 480

Step-by-step explanation:

(-8)(-15)=8*15=120

120*(4)

480

(-8)*(-15)*(4)=480

Step-by-step explanation:

(-8)*(-15)*(4)=480

Answer:

28ares

Step-by-step explanation:

that's the correct way.i hope you will understand it. if there's any question feel free to ask. nice day.

Answer:

18%

Step-by-step explanation:

8/44

Answer:

18% or 8/44

Step-by-step explanation:

add 12+10+14+8=44 then do 8/44

Answer:

the numbers of students that have pets 44

Step-by-step explanation:

Answer:

The answer is21

Answer:

390, since the answer I got was 377, and we are estimating so that’s the best estimate.

The median, mode and range of the numbers are 9, 5 and 7 respectively.

The median is the middle number when the data is arranged in ascending order.

Therefore,

7, 7, 7, 8, 10, 11, 12, 12

median = 8 + 10 / 2 = 18 / 2 = 9

median = 9

The range is the largest number minus the smallest number.

Therefore,

range = 12 - 7 = 5

range = 5

The mode is the number that appears most. Therefore,

mode = 7

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Answer: Mona wrote 21 checks during a month where her total fee was $12.52

Step-by-step explanation:

f = 10 + 0.12n

12.52 = 10 + 0.12n

[tex]\frac{2.52}{0.12}[/tex] = [tex]\frac{0.12n}{0.12}[/tex]

n = 21

Mona wrote 21 checks during a month where her total fee was $12.52

Assuming that you want the product of the two factors given in each problem:

 ⇒ we solve this problem by timing each unit of a factor to every unit

     of the other factor

   ⇒then add each one of them who shares a common like-term

      ⇒to get the answer

Let's solve:

            [tex](4m+n)(m-2n)=4m*m+(-2n)*4m+n*m+n(-2n)\\=4m^2-7nm-2n^2[/tex]

            [tex](2a-4b)(7a-2b)=2a*7a+(-2b)(2a)+(-4b)7a+(-4b)(-2b)\\=14a^2-4ab-28ab+8b^2\\=14a^2-32ab+8b^2[/tex]

            [tex](4m+1)^2=(4m+1)(4m+1)=4m*4m+4m*1+1*4m+1\\=16m^2+4m+4m+1\\=16m^2+8m+1[/tex]

            [tex](2w+1)(2w-1)=2w*2w+2w(-1)+1*(2w)+1(-1)\\=4w^2-1[/tex]

            [tex](m+3)(m^2+4m+7)\\=m*m^2+m*4m+m*7+3m^2+3*4m+3*7\\=m^3+4m^2+7m+3m^2+12m+21\\=m^3+7m^2+19m+21[/tex]

           [tex](3x+2)(5x^2-12x-2)\\=3x*5x^2+3x(-12x)+3x(-2)+2(5x^2)+2(-12x)+2(-2)\\=15x^3-36x^2-6x+10x^2-24x-4\\=15x^3-26x^2-30x-4[/tex]

Hope that helps!

Answer:

Step-by-step explanation:

x + 5 =0 & x + 12 =0

:- x = -5 & -12

Answer:

Step-by-step explanation:

Comment

There are 9 marbles all together.

The important  fact is that he draws 1 marble to begin with and does not replace it. That means that the next marble is out of 8.

Solution

First marble: Blue = 3/9 = 1/3

Second marble: Green 2/8 = 1/4

The probability of that happening is

P(blue,Green) = 1/3 * 1/4 = 1/12

Answer P(blue, green) = 1/12