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sergeinik [125]
3 years ago
10

Four data sets are shown below.

Mathematics
1 answer:
aivan3 [116]3 years ago
5 0
Banana cupcake for dinner makes me wanna go swimming so its set 4 94 322
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Write the standard form of the line that passes through the given points. Include your work in your final answer. Type your answ
Nata [24]

Answer: 5x-3y=44

Step-by-step explanation:

We know that , the equation of a line that passes through (a,b) and (c,d) is given by :_

(y-b)=\dfrac{d-b}{c-a}(x-a)

Standard form of equation of line = Ax+By=C

Given points =  (7, -3) and (4, -8)

Then, the equation of a line that passes through the points . (7, -3) and (4, -8) is given by -

(y-(-3))=\dfrac{-8-(-3)}{4-7}(x-7)

(y+3)=\dfrac{-8+3}{-3}(x-7)   [∵ (-)(-)=(+)]

(y+3)=\dfrac{-5}{-3}(x-7)

(y+3)=\dfrac{5}{3}(x-7)

3(y+3)=5(x-7)

3y+9=5x-35

9+35=5x-3y

44=5x-3y

Or 5x-3y=44

Hence, the required equation :-5x-3y=44

4 0
3 years ago
A jewelry store has a 40% off sale for all necklaces what is cost of a necklace that regularly cost $424
Fudgin [204]
Problem would be $424 x .40
and the answer would be  <span>169.6 USD</span>
3 0
3 years ago
Read 2 more answers
John has less than 15 video games what is the inequality?
lidiya [134]

Answer: well, we don't have another number so i'll use variables

VG < 15

An easy way to remember what is the lesser value is to think of an alligator; the alligator wants to eat the bigger prey so in your case the bigger prey would be 15.

6 0
3 years ago
The ratio of the number of Sam's CDs to the number of Alice's CD's is 7 to 8. Sam has 84 CDS.
Alex

Answer:

180 CDs

Step-by-step explanation:

So if Sam has 84 CDs, and the ratio from Sam to Alice is 7:8, we can do 84/7=12 so each number is equal to 12. Then we add up 7 and 8 and get 15, so we do 15*12 and we get 180.

7 0
2 years ago
$7000 is compounded semiannually at a rate of 11% for 21years Find the total amount and round to the nearest cent
photoshop1234 [79]

\text{Given that }\$7000 \text{ is compounded semiannualy at a rate of }11\% \text{ for 21 years}\\&#10;\\&#10;\text{we know that the amount after t year when compounded is given by}\\&#10;\\&#10;A=P\left ( 1+\frac{r}{n} \right )^{nt}\\&#10;\\&#10;\text{here P is the principal amoount, so }P=7000,\\&#10;\\&#10;\text{r is the interest rate, }r=11\%=0.11\\&#10;\\&#10;\text{n is the number of times in a year, here semiannulay, so }n=2,\\&#10;\\&#10;\text{and t is the time, so }t=21\\&#10;\\&#10;\text{so the amount after 21 years is}

A=7000\left ( 1+\frac{0.11}{2} \right )^{2(21)}\\&#10;\\&#10;\Rightarrow A=7000\left ( 1+0.055 \right )^{42}\\&#10;\\&#10;\Rightarrow A=7000\left ( 1.055 \right )^{42}\\&#10;\\&#10;\Rightarrow A\approx 66328.68

So the amount after 21 years is: $66328.68

7 0
3 years ago
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