The scatter plot below shows the relationship between years of education and income for a representative sample of adults. Which of the following is the best estimate of the average change in a person's income that is associated with going to school for an additional year?

Answer:

54 is a multiple of 6

Step-by-step explanation:

Step-by-step explanation:

54..

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Answer:

1  i think i looked it up on mathaway

Step-by-step explanation:

1

Answer:

(x, y) ––> (x – 2, y – 1)

Step-by-step explanation:

Two units left would make it (x – 2, y).

Then two units down would make it (x – 2, y – 2)

Then one unit up would make it (x – 2, y – 1)

Answer:

[tex]2 \cos ^{2} (4x) - 1 = 0 \\ \cos ^{2} (4x) = \frac{1}{2} \\ \cos(4x) = \sqrt{ \frac{1}{2} } \\ 4x = { \cos }^{ - 1} ( \sqrt{ \frac{1}{2} } ) \\ x = \frac{ { \cos}^{ - 1} ( \sqrt{ \frac{1}{2} } )}{4} \\ x \isnt \: \frac{\pi}{2} [/tex]

Answer:

Step-by-step explanation:

Given the expression x - 5y = -15

x intercept occurs at y = 0

Substituting y = 0 into the expression

x - 5(0) = -15

x - 0 = -15

x = -15

Hence the x-intercept occurs at (-15, 0)

y intercept occurs at x = 0

Substituting x = 0 into the expression

0 - 5y = -15

-5y = -15

y = -15/-5

y = 3

Hence the y-intercept is at (0, 3)

Answer:

Step-by-step explanation:

Given functions are,

f(x) = 2x - 3

g(x) = x³ - 2

h(x) = x² - 3x + 5

(10). f(4) = 2(4) - 3

           = 5

    g(-2) = (-2)³ - 2

             = -8 - 2

             = -10

    f(4) + g(-2) = 5 -10 = -5

(11). g(3) = 3³ - 2 = 25

     h(1) = 1² - 3(1) + 5

            = 1 - 3 + 5

            = 3

      g(3) - h(1) = 25 - 3 = 22

(12). f(2) = 2(2) - 2 = 2

      h(-3) = (-3)² - 3(-3) + 5

              = -27 + 9 + 5

              = -13

       f(2).h(-3) = 2(-13) = -26

Answer:

48%

Step-by-step explanation:

First, lets start with what we know.

Coin was flipped 50 times. Landed Heads 24 times, and landed tails 26 times.

Now, we want this in a percentage. So:

24 = x

50 = 100

We know that 50 is 100/2. So, we can multiply both of the numbers to get a percentage.

24 × 2 = 48

26 × 2 = 52

In conclusion, the experimental probability for the coin landing on heads is:

48/100  OR  48%

Answer: Two sides are given 5 cm and 9 cm. .Therefore, the third side can not be greater than or equal to (9+5)=14 cm and it can not be less than or equal to (9–5)=4 cm

Step-by-step explanation:

Please Give me brainliest

Answer:

Step-by-step explanation:

the length to the third side can be

a) a^2+b^2=c^2

a=9, b=5

c^2=81+25=106

c=sqrt106=10.29

or

a=5, c=9

b^2=c^2-a^2

b^2=81-25=56

b=sqrt56=7.48

Answer:

Balin could bench press 256 pounds.

Step-by-step explanation:

Jasper was able to bench press 224 pounds, which is 7/8 of x, which is the weight that Balin was able to bench press. So, mathematically:

[tex]\frac{7}{8}x = 224[/tex]

[tex]7x = 224*8[/tex]

[tex]x = \frac{224*8}{7} = 256[/tex]

Balin could bench press 256 pounds.

Answer:

d

Step-by-step explanation:

Answer:

We conclude that the statement 'To host a wedding with 104 people, 13 tables will be needed'.

Hence, option C is correct.

Step-by-step explanation:

We know that when 'y' varies directly with 'x', we get the equation

y ∝ x

y = kx

where 'k' is termed as the 'constant of variation'.

Given that a wedding reception seats 8 people at each table.

Given that the relationship between the number of people 'p' and the number of tables 't'.

p = 8t

CHECKING OPTION A

substitute t = 22 in the given equation

p = 8 × 22 = 176 people

It means to host 176 people, 22 tables will be needed.

Hence, OPTION A is INCORRECT!

CHECKING OPTION B

substitute t = 8 in the given equation

p = 8 × 8 = 64 people

It means to host 64 people, 8 tables will be needed.

Hence, OPTION B is INCORRECT!

CHECKING OPTION C

substitute t = 13 in the given equation

p = 8 × 13 = 104 people

It means to host 104 people, 13 tables will be needed.

Hence, OPTION C is CORRECT!

CHECKING OPTION D

substitute t = 6 in the given equation

p = 8 × 6 = 48 people

It means to host 48 people, 6 tables will be needed.

Hence, OPTION C is INCORRECT!

Thus, we conclude that the statement 'To host a wedding with 104 people, 13 tables will be needed'.

Hence, option C is correct.

Answer:

2x^2-7x-4

Step-by-step explanation:

=2x^2-8x+x-4

=2x^2-7x-4

Answer:

Step-by-step explanation:

399 x .20 = 79.8

399 - 79.8 = 319.2

The new price of the TV after a 20% decrease is $319.20

Answer:

[tex] \frac{6}{7} x - \frac{2}{5} y + \frac{5}{7} (y + x) \\ = ( \frac{6}{7} + \frac{5}{7} )x + ( \frac{5}{7} - \frac{2}{5} )y \\ = \frac{11}{7} x + \frac{15}{35} y \\ = \frac{11}{7} x + \frac{3}{7} y \\ = \frac{1}{7} (11x + 3y)[/tex]

Step-by-step explanation:

Realistic domain: t >= 0 (as time is non-negative)

When t = 0,

v(0) = -3(0)² + 73(0) + 50 = 50.

Hence Jennifer started with $5000.

Vertex = -b/2a = -(73)/2(-3) = 73/6.

When t = 73/6

v(73/6) = -3(73/6)² + 73(73/6) + 50 = 494.08.

The maximum value is $49,408.

Answer:

The better value is 5pounds for $11

Step-by-step explanation:

2.75×5= $13.75

so the 5 pounds for $11 would be better because the other option would cost $13.75 for the same amount

Answer:

buying the box for $11 is the better option

2.75×5=13.75

so 5 pounds separately would be $13.75

Answer:

Step-by-step explanation:

9514 1404 393

Answer:

  (c) 5 +15/4 +45/16 +135/64 +...; 20

Step-by-step explanation:

The first term of this geometric series is 5. The common ratio (r) is 3/4. The sum of the infinite series is ...

  5(1/(1 -r)) = 5/(1 -3/4) = 5/(1/4) = 20 . . . series sum

Of course, the terms are ...

  5 + 5(3/4) +5(3/4)² + 5(3/4)³ + ...

  = 5 + 15/4 + 45/16 +135/64 + ... . . . series

Together, these observations match choice C.

Answer:

90

Step-by-step explanation:

Answer:

-6 14/15

Step-by-step explanation:

Answer:

x = 18°

Step-by-step explanation:

The sum of interior angles of any polygon is given by:

180(n -2) , where n is the number of sides of that polygon.

So for this pentagon;

The sum of its interior angles = 540°

∴

90 + (9x -6) + (3x + 23) + 95 + (7x - 4) = 540

19x + 198 = 540

19x = 540 - 198 = 342

x = 342 ÷ 19 = 18°

Answer:

Step-by-step explanation:

20x - 10 - 10x + 10

Solving like terms

10x

Answer:

decrease 40%

Step-by-step explanation:

20/50 * 100 = 40

Answer:

yes it is a parallelogram because diagonals bisect each other.