-9y + 4x - 20 = 0
-7y + 16 - 80

Answer:

y-6=3/5(x-6)

Step-by-step explanation:

The son is 30 years and the father is 65 years.

Let x represent the present age of the son and y represent the present age of the father.

Hence:

y = x + 35

-x + y = 35    (1)

In 5 years time:

y + 5 = 2(x + 5)

y + 5 = 2x + 10

-2x + y = 5  (2)

Solving equations 1 and 2 simultaneously gives:

x = 30, y = 65

The son is 30 years and the father is 65 years.

Find out more on equation at: https://brainly.com/question/2972832

Son   =  30 years

Father  =  65 years

Present Details:

Son: "s" years                    (lets consider son's present age to be s)

Father: "s + 35"                  (father is 35 years older than the son)

After 5 years:

Son: "s + 5"                [son will be 5 years older]

Father: 2(s + 5)     [twice the son's age]  and  (s + 35) + 5 = (s + 40) years

Solve father's age simultaneously:

⊕ Thus, the Son is 30 years old.

Father's age:

Using the linear function, it is found that the correct option is given by:

Linear functions modeling a cost have the following format:

[tex]C(t) = C(0) + at[/tex]

In which:

In this problem, the cost for t hours of work is modeled by:

[tex]C(t) = 50 + 80t[/tex]

Which means that the correct statement is:

To learn more about linear functions, you can take a look at https://brainly.com/question/16302622

Answer:

Step-by-step explanation:

Using DMAS, let's solve.

Conclusion:

Therefore, the answer is:

Hoped this helped.

[tex]GeniusUser[/tex]

Answer:

[tex]\huge\boxed{y=\dfrac{4}{3}x-1}[/tex]

Step-by-step explanation:

Let

[tex]k:y=m_1x+b_1\\l:y=m_2x+b_2[/tex]

then

[tex]k\perp l\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\k\ ||\ l\iff m_1=m_2[/tex]

==========================================

We have:

[tex]y=-\dfrac{3}{4}x-3\to m_1=-\dfrac{3}{4}[/tex]

Let

[tex]y=m_2x+b_2[/tex]

Therefore

[tex]m_2=-\dfrac{1}{-\frac{3}{4}}=\dfrac{4}{3}\Rightarrow y=\dfrac{4}{3}x+b_2[/tex]

Substitute

[tex](0,\ -1)\to x=0;\ y=-1[/tex]

[tex]-1=\dfrac{4}{3}\cdot0+b_2\\\\b_2=-1[/tex]

Answer:

Send me a picture of the graph and I gottchu =)

Step-by-step explanation:

Answer:

I need a picture of the graph to answer that

Answer:

Part A would be: 3, $2560 & 4, 2048 I am pretty sure

Step-by-step explanation:

20% of 3,200 = 640

3,200-640= 2,560

then

20% of 2,560 = 512

2,560-512 = 2,048

hope this helps! :)

Part A: The first answer is correct, or (3, $2560) & (4, $2048)

Part B: V = 5,000(0.8)^t

5000 is the original price, 0.8 shows the value going down 20%, and t shows how many years.

Hope this helps!

Given info:- In ∆ABC, right-angled at c in which AB = 10in, BC = 26 in and we have to find out the measure of AC = ?

Explanation:

In right angled ∆OCB, AC ⟂ CB,

AB² = AC²+CB²

[By Pythagoras theorem]

(10)² = AC²+(26)²

10*10 = AC²+(26*26)

100 = AC²+676

AC² = 676-100

AC² = 576

AC = √(576)

AC = 24 in.

Hence, the measure of right-agled in which AC is 24 in.

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In a right triangle angle C measures 40 degrees. The hypotenuse of the triangle is 10in long. What is the approximate length of the side adjacent to angle C?....

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Answer:

  k = -4

Step-by-step explanation:

The remainder theorem tells you that the remainder from division f(x)/(x -k) is f(k). You want the value of k such that ...

  f(k) = -15

Looking on the given graph, you find that k must be -4. That is, ...

  f(-4) = -15

  k = -4

_____

The divisor with k=-4 is (x -(-4)) = (x +4). The second attachment shows the division of f(x) by (x+4). The remainder is shown on the bottom line.

Answer: the slope 4

Step-by-step explanation:

the slop is y^2 - y^1 / x^2 - x^1 = 0 -8 / -1 - - 3 = 8/2 = 4

Hope that helps :)

The result of the product [tex](s^2+5s)(s^3+4s^2)[/tex] is [tex]s^5+9s^4+20s^3[/tex]

The product is given as:

[tex](s^2+5s)(s^3+4s^2)[/tex]

Rewrite as:

[tex](s^2+5s)(s^3+4s^2) = (s^2+5s) \times (s^3+4s^2)[/tex]

Expand the expression on the right-hand side

[tex](s^2+5s)(s^3+4s^2) = s^2\times (s^3+4s^2)+5s \times (s^3+4s^2)[/tex]

Distribute the expressions

[tex](s^2+5s)(s^3+4s^2) = s^5+4s^4+5s^4+20s^3[/tex]

Evaluate like terms

[tex](s^2+5s)(s^3+4s^2) = s^5+9s^4+20s^3[/tex]

Hence, the result of the product [tex](s^2+5s)(s^3+4s^2)[/tex] is [tex]s^5+9s^4+20s^3[/tex]

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Answer:

Past tense

Step-by-step explanation:

The verb ("made") is in the past tense.

Hope this helps :)

Answer:

966

Step-by-step explanation:

180% is written as 1.80 as a decimal. You can multiply this by 345 to get the profit he made, and to find the total selling price, add the profit (1.80x345) to the original price (345)

The linear function must be represented in the form y = mx + b,  where y and x are variables.

A linear function is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the y intercept

From the table, the linear function must be represented in the form y = mx + b,  where y and x are variables.

Find out more on linear function at: https://brainly.com/question/4025726

Answer:

x = (180 - [71 + 9]) ÷ 2

Step-by-step explanation:

71 + 9 = 80

180 - 80 = 100°

100° ÷ 2 = 50°

Answer:

3/2pi or 0.47746

Step-by-step explanation:

The ormula for circumference is:

Circumference = 2*pi*radius

Then substitute radius = 3/4km

Circumfrence = 2*pi*(3/4)km = 3/2pi or 0.47746

The slope of the line is -(1/2)

Answer:

(17^1/7)^7 SIMPLIFIED is 498.26016735

Answer:

-b+2>-10

Step-by-step explanation:

Just ask.

Hope this helps! :D

Answer: {(2,-2), (1,5), (-2,2), (1,-3), (8,-1)}, and {(3,-1), (7,1), (-6,-1), (9,1), (2,-1)

Step-by-step explanation: In order for a given relation to be a function, there can only be 1 x-value that can repeat. The y-values on the other hand can repeat an infinite amount of times. In the last 2 relations, you have (-2,-5), (-2,9) and (-3,1), (-3,2), and (-3,-3). You can also graph these relations and do a vertical line test with your pencil drawing a straight line downward and you'll notice that you will touch the graph more than 1 time. The first 2 relations if you were to graph them and do a vertical line test by using a pencil or pen, you'll notice that you will touch the graph once which shows you that you have a relation that is indeed a function.

Hope this explanation helps.

Answer:

{(3, –1), (7, 1), (–6, –1), (9, 1), (2, –1)}

Answer: 11.9

Step-by-step explanation:

The opposite is across from the 35 degree angle and the ajacent is the side valued at 17.

Answer:

A. 11.9

Step-by-step explanation:

35° = opposite/adjacent

tan(35°) = x/17

tan(35) x 17 = 11.90352814

x = 11.90352814

x = 11.9

Answer:

mean = 0.5

Step-by-step explanation:

The mean of a set of data is calculated as

mean = [tex]\frac{sum}{count}[/tex]

          = [tex]\frac{-1.75-1+4.25+3.75+1-4.75+2}{7}[/tex]

          = [tex]\frac{3.5}{7}[/tex]

          = 0.5

Answer:

22.54$

Step-by-step explanation:

There is a calculator for this

Answer:

EC$20.00 is equivalent to $7.40 US dollars

Step-by-step explanation:

GD DAY AND NIGHT EMMANUEL MUDIAY

Answer:

12 + 2x = y

Step-by-step explanation:

y would be the total cost

Answer:

$12 + $2 × x

Step-by-step explanation:

Answer:

2,000 tiles

Step-by-step explanation:

area of the floor divided by the area of one tile

area of a rectangle is length*width

so it's 40*15= 600

area of tile is 0.6m*0.5m = 0.3

600÷0.3 = 2,000 tiles

Answer:

25/4

Step-by-step explanation:

7 can also be 7/1. Now you have 7/1-3/4. Multiply the denomiator to make them the same so you can subtract. 1*4=4 and 7*4= 28. Now you have 28/4-3/4. Subtract the numerators. 28-3=25. Your answer is 25/4. (6.25 if you need it in decimal form)

[tex] \frac{7}{20} \times 100 = \\ [/tex]

[tex] \frac{20 \times 5 \times 7}{20} = \\ [/tex]

[tex]5 \times 7[/tex]

[tex] 35 \: \: percent[/tex]

_____________________________________________

Suppose that number is x thus twice a number means :

[tex]2 \times x[/tex]

Plus 6 :

[tex]2x + 6[/tex]

Gives a result 28 :

[tex]2x + 6 = 28[/tex]

_____________________________________________

Have a great day ♡

Step-by-step explanation:

$103.23

$100

$45.34

+_____

=248.57

Answer:

RATE

Step-by-step explanation:

Answer:

A. Rate

Step-by-step explanation:

A rate is an example of comparing two different units of measure. For example, miles per hour is a rate because it compares miles, which is a unit of distance, to hours, which is a unit of time.

Hope this helps.