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Nesterboy [21]
3 years ago
12

Question 8: Find the equation of the straight line that:

Mathematics
2 answers:
Scorpion4ik [409]3 years ago
8 0

Answer:

y=4x+6

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: y=mx+b where m is the slope (also called the gradient) and b is the y-intercept (the value of y when x is 0)

<u>1) Plug the gradient into the equation (b)</u>

y=mx+b

We're given that the gradient of the line is 4. Plug this into y=mx+b as m:

y=4x+b

<u>2) Determine the y-intercept (b)</u>

y=4x+b

Plug in the given point (1,10) as (x,y) and solve for b

10=4(1)+b\\10=4+b

Subtract 4 from both sides to isolate b

10-4=4+b-4\\6=b

Therefore, the y-intercept of the line is 6. Plug this back into y=4x+b as b:

y=4x+6

I hope this helps!

svet-max [94.6K]3 years ago
6 0

answer = y = 4x + 6

y = mx + b

gradient = slope = m = 4

(1,10) = (x,y)

plug in the values

10 = 4 (1) + b

10 = 4 + b

b = 6

y = 4x + 6

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Ashley sells 18.6 kg bags of mixed nuts that contain 60% peanuts. To make her product she adds peanuts to Brand A's mixed nuts w
slavikrds [6]

Answer:

She combines 9.3 kg of each.

Step-by-step explanation:

Let x = amount of brand A in kg

Let y = amount of peanuts in kg

First we deal with the amount of each product she uses.

"Ashley sells 18.6 kg bags of mixed nuts that contain 60% peanuts."

x + y = 18.6

Now we deal with just the amount of peanuts.

"To make her product she adds peanuts to Brand A's mixed nuts which contain 20% peanuts."

Brand A contains 20% peanuts, so x kg of brand A contains 0.2x kg of peanuts.

The peanuts she adds are pure peanuts, so all of y is peanuts.

The result is 18.6 kg of a mixture that is 60% peanuts, so the amount of peanuts in the bags she sells is 0.6 * 18.6 kg.

0.2x + y = 0.6 * 18.6

0.2x + y = 11.16

We have a system of equations:

x + y = 18.6

0.2x + y = 11.16

We have y in both equations, so let's subtract the second equation from the first equation to eliminate y.

0.8x = 7.44

Divide both sides by 0.8

x = 9.3

Plug in 9.3 for x in the first equation of the system and solve for y.

x + y = 18.6

9.3 + y = 18.6

y = 9.3

Answer: She combines 9.3 kg of each.

4 0
3 years ago
I need help, how do you do this
adell [148]

Answer: So you are going to make an equation first.

Step-by-step explanation:

first we know that for the first 2 hours the snow fell at an inch an hour. so we are going to make our first plots ( I suggest using an online site like geogebra or desmos to start out with before plotting for your assingment)

our first plot is going to be at (1,1) or 1 over and 1 up. remember points are in the form of (x,y). then (2,2)

Now we see that it has changed  now there is no  new snow for 6 hours so you are going to have a flat line so its going to be (2,2) then its going to continue that way as (3,2),(4,2), (5,2) (6,2)(7,2)(8,2).

It starts snowing again and now we have a new thing to plot the snow is falling at a constant of 3 inches an hour for the next 5 hours so now we are going to plot hte points to get our points we are going add 3 inches to our current inches each new hour. so its going to be (9,(2+3)) which is (9,5) and continue on doing that so we will have the plots (10,8) (11,11) (12,14) (13,17). and now we connect our plots by creating segments so then you do that on your thing and youre set to go I hope this helps.

6 0
3 years ago
Brian just started using a budget. He proudly tells friends that his budget helps him know where his money is being spent. It al
belka [17]
<span>Answer: Brian has some understanding of budgeting. However, a budget does not create more money each month. It just helps him use his money better.

This is what Brian said and my assessment:

</span>
<span>.... his budget helps him know where his money is being spent  TRUE

 It allows him to spend some money on entertainment with the peace of mind that he will be able to pay the rent: TRUE

  ...and even gives him more money each month NOT REALLY ... money is not created by the budget</span>
3 0
3 years ago
Find the 114th term of the following sequence
bulgar [2K]

Answer:

456

Step-by-step explanation:

1. Based on the parts of the pattern show you can tell that the term is the step number multiplied by four. 2. Based on that you can multiply step 114 by 4 which gives you 456.

6 0
3 years ago
What is the name of 2 in 641.295
Verizon [17]
Hundredth Place

Your Welcome.
4 0
3 years ago
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