All categories

3 years ago

Write a real-world problem that could be represented by the following equation. 70 + 5x = 40 + 10x

1 answer:

4 0

Jack wants to paint his house. he collected quotations from two different painters. The first painter's total cost in terms of the number of hours, (x), worked was modelled as f(x) = 70 + 5x, while that of the second painter was g(x) = 40 + 10x. Jack knows that it will take about 6 hours to paint the house. He figured out that the cost quoted by the two painters is equal for 6 hour of work.

You might be interested in

Round to the nearest hundred thousand 894,659

ipn [44]

Answer:

900,000

because you look to the second place next to it and if 5 and over its goes up if 4 and under it stays the same

3 0

2 years ago

How to spell 30,906 in word

hammer [34]

Thirty thousand nine hundred and six.

4 0

3 years ago

Read 2 more answers

Find the length of the following curve. If you have a grapher, you may want to graph the curve to see what it looks like.

stepladder [879]

The length of the curve $y = \frac{1}{27}(9x^2 + 6)^\frac 32$ from x = 3 to x = 6 is 192 units

<h3>How to determine the length of the curve?</h3>

The curve is given as:

$y = \frac{1}{27}(9x^2 + 6)^\frac 32$ from x = 3 to x = 6

Start by differentiating the curve function

$y' = \frac 32 * \frac{1}{27}(9x^2 + 6)^\frac 12 * 18x$

Evaluate

$y' = x(9x^2 + 6)^\frac 12$

The length of the curve is calculated using:

$L =\int\limits^a_b {\sqrt{1 + y'^2}} \, dx$

This gives

$L =\int\limits^6_3 {\sqrt{1 + [x(9x^2 + 6)^\frac 12]^2}\ dx$

Expand

$L =\int\limits^6_3 {\sqrt{1 + x^2(9x^2 + 6)}\ dx$

This gives

$L =\int\limits^6_3 {\sqrt{9x^4 + 6x^2 + 1}\ dx$

Express as a perfect square

$L =\int\limits^6_3 {\sqrt{(3x^2 + 1)^2}\ dx$

Evaluate the exponent

$L =\int\limits^6_3 {3x^2 + 1} \ dx$

Differentiate

$L = x^3 + x|\limits^6_3$

Expand

L = (6³ + 6) - (3³ + 3)

Evaluate

L = 192

Hence, the length of the curve is 192 units

Read more about curve lengths at:

brainly.com/question/14015568

#SPJ1

7 0

1 year ago

Is the given expression equal to – 0.4(3x + 8)? Select Yes or No for each expression.

beks73 [17]

-3x - 3.2 no
-1.2-8 no
-1.2x-3.2 yes
-1.2x+3.2 no

4 0

2 years ago

Read 2 more answers

Suppose all the counting numbers are arranged in columns as shown at the right. Under what letter will the number 1000 appear?

pentagon [3]

Letter D because you need to multiply all the letters of the alfabet (36) and multiply 36 by 1000 and then divide the answer by 100 and you get the letter D

4 0

3 years ago