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Dmitry_Shevchenko [17]
3 years ago
5

Keith is saving money for a car. He has saved the same amount each year for the past three years, and records of how much he has

at the end of each year in the table below.
What is Keith's unit rate of change of dollars with respect to time; that is; how much does Keith save in one year?

the unit rate is blank dollar per year.​

Mathematics
2 answers:
insens350 [35]3 years ago
8 0

Answer:

keith saves 1500 dollars per year

Sever21 [200]3 years ago
4 0

Answer:

keith saves $1500 a year.

graph is underneath

Step-by-step explanation:

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In two or three sentences explain how you would solve for the real solutions of the following equation: please help asap!!
g100num [7]

the real solutions for the equation x^{3}=-64 are -

x=4,2+-2\sqrt{3i}

Step-by-step explanation:

   x^{3} = - 64

   x^{3} +64  = 0

   We can write 64 as  4^{3}

  x^{3} + 4^{3} = 0

  using the identity  ( x^{3}+y^{3} = (x+y)(x^{2} -xy+y^{2} ) )

we get,

  = (x+4) (x^{2} -x*4+4^{2} )

  = (x+4)(x^{2} -4x+16)    ....................(1)

 solving the quadratic equation  ,

   x^{2} -4x+16 =0

solutions of this quadratic equation can be obtained by

   x=-b +- \sqrt{b^{2}-4ac } /2a

let use y for factors

x=-(-4x)+-\sqrt{(-4x^{2} )-4*x^{2} *16}  / 2*x^{2}

x=4x+-\sqrt{16x^{2} -64x^{2} } /2x^{2}

x=4+-\sqrt{16-64}/2

x=4+-4\sqrt{3i} /2

<u />x=2+-2\sqrt{3i}    ..................(2)

from the equation 1 we have,

x-4=0

which gives solution x=4

and from equation 2 we got  x=2+-2\sqrt{3i}

so the real solutions for the equation x^{3}=-64 are -

x=4,2+-2\sqrt{3i}

3 0
3 years ago
Please help picture included will give brainliest
BaLLatris [955]

a = 4x/t -p

add p to each side

a+p= 4x/t

multiply each side by t

t(a+p) =4x

divide each side by 4

t/4 * (a+p) =x


5 0
3 years ago
Read 2 more answers
At a​ school, 174 students play at least one sport. This is 75​% of the students at the school. How many students are at the​ sc
boyakko [2]

Answer:

  There are 232 students at the school.

Step-by-step explanation:

Let s represent the number of students at the school. We are told ...

  174 = 75% × s

  174/0.75 = s = 232 . . . . . divide by the coefficient of s

There are 232 students at the school.

3 0
3 years ago
Nine is 4 percent of what number
Katarina [22]

Answer:

225

Step-by-step explanation:

We can model this question with:

9 = 0.04x

x represents "what number."

0.04x = 9.

Divide 0.04 from both sides

0.04x ÷ 0.04 = 9 ÷ 0.04

9 ÷ 0.04 = 225.

Therefore, 9 is 4% of 225.

5 0
3 years ago
Read 2 more answers
Which represents the inverse of the function f(x) = 4x?
nekit [7.7K]

Answer:

\displaystyle h(x) = \frac{1}{4}x

Step-by-step explanation:

Sinse in this case you are dealing with direct variation, all you are doing is taking the <em>multiplicative</em><em> </em><em>inverse</em><em> </em>of 4, which is ¼:

\displaystyle f(x) = 4x \rightarrow f^{-1}(x) = \frac{1}{4}x

This option is not an answer choise. Perhaps there was a typographical errour.

I am joyous to assist you at any time.

5 0
2 years ago
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