All categories

3 years ago

Paul uses the equation y=8x+40 to model the situation.

Mathematics

1 answer:

Leona [35]3 years ago

4 0

Answer:

The point 40 refers to the y-intercept of the linear model

Step-by-step explanation:

Looking at the equation, we can conclude that it is the equation of a straight line or a linear equation.

What this means is that it follows the general form of the equation of a straight line which is

y = mx + c

where m is the slope and c refers to the y-intercept

when we say the y-intercept, we mean the point at which the straight line plot crosses the y-axis at which x = 0

Extrapolating this, we mean the term 40 in the model refers to the y-intercept of the given linear equation

it is at the point 40 that the straight line crosses the or touches the y-axis.

Also at this point, the value of x = 0

You might be interested in

How many places do you need to move the decimal to the left to write the number below in scientific notation? 60000000000

garik1379 [7]

60,000,000,000 in scientific notation is 6 x 10^10 so you move the decimal 10 times.

8 0

3 years ago

Use the function rule to complete the table -10x + y = 4

alexgriva [62]

Plug in the given numbers (x) to the equation. For example, let's take the first value it gives us. -10(-2) +y=4 20+y=4 y=-16 Then you would put that on the table, and plug in the next value(s). Hope this helped!

8 0

3 years ago

Read 2 more answers

Can someone help me round these two numbers? I completely forgot how ‍

tigry1 [53]

Answer:

Step-by-step explanation:

If you are rounding to nearest tenth

2.6 1.9

Nearest hundredth

2.6 1.87

If the number to the right of the one you want to round is 5 or above, you go up a number. If it's below, you go down 1.

Hope this helps.

5 0

3 years ago

Using the distributive property to factorize the equation 3x^2+24x=0, you get

Natalka [10]

Answer:

Step-by-step explanation:

$3x^2+24x=0\\factor: 3x(x+8)=0\\x=0, -8$

6 0

3 years ago

Read 2 more answers

There are two numbers, one is 7 more than twice the other. The sum of the numbers is 43. Make the equation to find the smaller n

Mrrafil [7]

Answer:

Smaller number: 12

Greater number: 31

Step-by-step explanation:

Hi there!

Let x equal to the smaller number.

Let y be equal to the greater number.

1) Translate the information into equations

"One is 7 more than twice the other"

⇒ $y=2x+7$

"The sum of the numbers is 43"

⇒ $x+y=43$

2) Use substitution to solve for the smaller number

$x+y=43$

Plug the equation $y=2x+7$ into the above equation

$x+(2x+7)=43\\x+2x+7=43\\3x+7=43$

Subtract both sides by 7

$3x+7-7=43-7\\3x=36$

Divide both sides by 3 to isolate x

$\frac{3x}{3} = \frac{36}{3} \\x=12$

Therefore, the smaller number equates to 12.

3) Use substitution to solve for the greater number

$x+y=43$

Plug in x as 12

$12+y=43$

Subtract both sides by 12 to isolate y

$12+y-12=43-12\\y=31$

Therefore, the greater number equates to 31.

I hope this helps!

3 0

3 years ago