What is the equation of the line, in standard form, that passes through (4, -3) and is parallel to the line whose equation is 4x + y - 2 = 0?

Answers

Answer 1

Answer: in ax+by=c form
slope=-a/b

a paralel line has same slope
4x+y-2=0
4x+1y=2
slope=-4/1=-4

therefor the other line has to have a slopt of -4

y=mx+b
m=slope
b=y intercept
slope=-4
y=-4x+b
input a point tha we ar given (4,-3)
x=4
y=-3
-3=-4(4)+b
-3=-16+b
add 16
13=b
y=-4x+13
get to ax+by=c form
add 4y both sides
4x+y=13 is the euation

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The mean of a normally distributed dataset is 12, and the standard deviation is 2. what percent of the data points lies between 8 and 16?
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For wich values of x does 2x^2+10x

Answers

2x^2 + 10x doesn't do anything, unless it's equal to something.

All you've got so far is a number. We can't even tell what it is
until we know what number 'x' is.

Is there another little part of the question that you didn't copy ?

Factor out at 2 so 2(x+5)(x+0)
Set them equal to 0 so
2=0 that's not a solution
X+5=0 so x=-5 that works
And the last one x=-0 well negative 0 doesn't exist so the only value that works is -5

Miles and Nick each separately apply for and receive loans worth $5,000 apiece. Miles has a very good credit score, so his loan has an APR of 7.75%, compounded monthly. Nick’s credit score is rather low, so his loan has an APR of 13.10% interest, compounded monthly. If both of them repay their loans over a four year period, making equal monthly payments based on their own loan, how much more will Nick have paid than Miles? (Round all dollar values to the nearest cent.) a.$619.68 b.$267.50 c.$1,609.57 d.$1,070.00

Answers

Answer:

Ans. Nick paid $619.68 more than Miles (exactly $619.54). So the answer is A)

Step-by-step explanation:

Hi, first we need to find the equal monthly payments for both, Miles and Nick, for that, we need to find the effective monthly rate (because the payments are going to be made monthly), also, we need to convert that 4 year period into months. After doing all that, we need to use the following equation and solve for "A".

$Present Value=(A((1+r)^(n) -1))/(r(1+r)^(n) )$

Where:

A= monthly payments

r= rate of interest (for Miles is 0.075/12=0.006458 and Nick 0.131/12=0.010916)

n= number of periodic payments (both are 4*12=48 months)

First, let´s find out how much money Miles has to pay every month.

$5,000=(A((1+0.00645833)^(48) -1))/(0.00645833(1+0.00645833)^(48) )$

$5,000=A(41.1594758)$

$A=121.48$

So, Miles has to pay $121.48 every month, for 48 months, that is a total of $5,830.98 (121.48*48=5,830.98)

Now, let´s do Nick

$5,000=(A((1+0.01091667)^(48) -1))/(0.01091667(1+0.01091667)^(48) )$

$5,000=A(37.2063189)$

$A=134.39$

So, Nick has to pay $134.39 every month, for 48 months, that is a total of $6,450.52 (134.39*48=6,450.52)

The difference is 6,450.52- 5,830.98=619.54

Means that Nick has to pay $619.54 more than Miles. To your answers, the closest is A) $619.68.

Best of luck

Miles:7.75% (0.0775) x 5,000 = $387.5 x 4 = $1550 (over four year period)Nick:13.10% (0.131) x 5,000 = $655 x 4 = $2620$2620 - $1550 = $1,070 (rounded to nearest cent)So the answer is D.

Write the missing value above the variable. M-9=7

Answers

If you're for the value of "m" then follow these steps to see what the answer is

m - 9 - 7 = ?
? = 0

Now, let's add the number 16 to the sides that you're working with
Here's what I am talking about in case you don't know what I am talking
m - 16 = 0
+ 16
-------
16

So, the value of m is 16 ;
$m=16$

This is basic mathematics.Just practice your addition and subtraction facts in the problem like this

m=16
16-9=7
hope this helped:)

The outlier, 78, is removed from the data set shown.23, 23, 25, 27, 34, 34, 35, 41, 45, 45, 78

How does this affect the range?

A.) The range is decreased by 4.

B.) The range is decreased by 16.

C.) The range is decreased by 22.

D.) The range is decreased by 33.

Answers

An outlier of a set of data is a data value that is too small or too large compared to other values in the set of data. Range of a set of data is the difference between the largest data value and the smallest data valu in the set of data. Range of 23, 23, 25, 27, 34, 34, 35, 41, 45, 45, 78 is 78 - 23 = 55 When the outlier 78 is removed, the range of the data set 23, 23, 25, 27, 34, 34, 35, 41, 45, 45 is 45 - 23 = 22 Thus, when the outlier 78 is removed, the range of the data set decreases by 55 - 22 = 33. Therefore, the correct answer to the question "The outlier, 78, is removed from the data set shown. 23, 23, 25, 27, 34, 34, 35, 41, 45, 45, 78 How does this affect the range?" is "The range is decreased by 33." (option D).

the awnser is d of course

2x(x^2-2)+7x=9x+2x^3
Algerbra 1 solve for x

Answers

Yes you are correct it is x=0

Check whether 6n can never end with the digit 2 for any natural number n

Answers

6 x   2 =   12
6 x   7 =   42
6 x 12 =   72
6 x 17 = 102

For any 'n' equal to ( 2 + any multiple of 5), 6n ends with the digit '2' .

The conjecture appears to be pretty well shot.

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