Rob is saving money for a down payment on a house. He opens a savings account at his local bank and deposits $1000. He models his savings plan with the equation y = 400x + 1000 based on his current income and monthly savings rate. What is the meaning of the y-intercept in the equation?

The value of y is -8

"The slope of tee line passing through points [tex](x_1,y_1),(x_2,y_2)[/tex] is [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]"

"The point at which the graph intersects the Y-axis."

"y = mx + c, where m is the slope of the line and c is the Y-intercept."

For given question,

We have been given the graph of a line.

From the graph, we can observe that the line is passing through the points (4, 4) and (-6, 0)

Using slope formula the slope of the line would be,

[tex]\Rightarrow m=\frac{4-(-6)}{4-0}\\\\\Rightarrow m=\frac{10}{4}\\\\\Rightarrow m=\frac{5}{2}[/tex]

Also, the line intersects y-axis at y = 2

This means the y-intercept is c = 2

Using the slope-intercept form of the line the equation of the line would be,

[tex]y=mx+c\\\\y=\frac{5}{2}x+2[/tex]

Point E(-4, y) lies on the given line.

So, this point satisfies the equation of the line.

[tex]\Rightarrow y=\frac{5}{2}(-4)+2\\\\ \Rightarrow y=-10+2\\\\\Rightarrow y=-8[/tex]

Therefore, the value of y is -8

Learn more about the equation of the line here:

https://brainly.com/question/21511618

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Answer:

23

Step-by-step explanation:

41-18=23

Answer:

lol 96

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

58.25

Step-by-step explanation:

116.5 / 2

= 58.25

Hope this helps!!

58.25+58.25

Those are the two numbers that add up to that number (116.5)

Btw there are also MULTIPLE numbers that add up to 116.5, I'm just putting the one that makes the most sense.

(｡ŏ﹏ŏ)

Miri

Answer:

2x - 5 = (1/2)

4x - 10           [multiply by 2]

 x - 10 = -13                 [subtract 3x from both sides]

  x = -3                        [add 10 to both sides]

Step-by-step explanation:

The required number would be 34 which is determined by the phrase "five less than twice the value of a number is equal to three times the quantity of four more than one-half the number"

Algebra is the analysis of mathematical representations, while logic is the manipulation of those symbols.

When broken down, these sorts of statements are not intimidating. First, consider "five less than twice the value of a number."

"Twice the value of a number" is simply 2x.

"Five less" is simply -5, so for the first part we have (2x-5)

Examine the second section next. "Three times four times more than one half the number."

"Three times the quantity" simply indicates "three times something."

4 + "one half the number" or 4 + (1/2)x is "the quantity of four more than one half the number."

So the second part is simply 3(4+x/2).

Finally, we complete the equation, (2x-5) = 3(4+x/2) and solve for x.

2x-5 = 12 + (3/2)x

2x-(3/2)x = 17

x/2 = 17

x = 34

Therefore, the required number would be 34.

To learn more about the Algebra link is given below.

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Answer:

Step-by-step explanation:

length times width = area

so you have 8.5w=93.5

divide 8.5 on both sides to get your answer

w= 11

so your width must be 11 inches

Answer:

x2=24−4x

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

24÷4 = 6

2+7 = 9 then multiply both together then it gives 54

Answer: The answer is -50

because 80 + -50 = 30 and 30 + -30= 0              .

Answer:

6

Step-by-step explanation: You can set up the equation: [tex]\sqrt{\frac{n}{3} }[/tex] = [tex]\sqrt{n-4}[/tex] You square both sides to cancel out the squares which leaves you with [tex]\frac{n}{3}[/tex] = n - 4. Then you just solve as normal which ends you up with an answer of 6. You can check this by plugging 6 back into the equation and see that you end up with [tex]\sqrt{2}[/tex] on both sides.

Answer:

Liz got a higher score than Austin.

Step-by-step explanation:

Since 42 divided by 50 is 82, as a percentage is then 82%. Austin has a 80% which most likely means, if on the same quiz, that he got a 40 out of 50.

Answer:

answer is B

Step-by-step explanation:

Answer:

HII

Step-by-step explanation:

X= 40

Answer:

what are you trying to solve?

Answer:

52800

Step-by-step explanation:

Answer:

520800

Step-by-step explanation:

ive done this on.

Answer:

I am *oop*

Step-by-step explanation:

Answer:

6 hours

Step-by-step explanation:

-3-2.5-2.5-2.5-2.5-2.5-2.5=18

srry if I took too long

Answer:

6 HOURS

Step-by-step explanation:

The correct answer would be 6 hours or A!

Hope this helps! Have a great day! :))

Answer:

21

Step-by-step explanation:

13x2=26-5=21 so thats how I got the answer

Step-by-step explanation:

Answer:

15     0

+3    +6

+3    +6

+3    +6

+3     +6

+3     +6

__________

30    30

Answer: 15m + 5n

Step-by-step explanation:

so, first off, we take the number outside of the parentheses and multiply it by everything that's inside of the parentheses.

(5)3m + 5(n)

then, we just multiply all of those together.

15m + 5n

Answer:

the first one

Step-by-step explanation:

i think

Answer:

x=16

Step-by-step explanation:

[tex]x^{\frac{1}{2} }=64^{\frac{1}{3 } }=(4^3)^{\frac{1}{3} }=4^{3 \times \frac{1}{3} }=4 \\squaring\\x=4^2=16[/tex]

Answer:

BC is 10 unit

BD is 15 units

Step-by-step explanation:

Here, given the end points of the line segments, we want to calculate BD and DC

Mathematically, the distance between two points can be calculated using the formula;

D = √(x2-x1)^2 + (y2-y1)^2

For BD, we have the following

D = √(14-5)^2 + (14-2)^2

D = √(9)^2 + 12^2

D = √81 + 144

D = √(225)

Distance BD is 15 units

For BC, we have the following

D = √(11-5)^2 + (10-2)^2

D = √(6)^2 + 8^2

D = √100

D = 10

Answer:

3 (2x + 3) + 11 = –2 (2x - 6) - 18

Answer:

-15

Step-by-step explanation:

this is because when a negative multiplies with a positive ....it gives an answer of negative