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2 years ago

Which ordered pair is generated from the equation shown below? y = 3x - 1 A. (6, 18) B. (6, 17) C. (4, 12) D. (9, 8)

Mathematics

1 answer:

geniusboy [140]2 years ago

7 0

Answer:

B 6,17

Step-by-step explanation: If you plug in the value of x from each of the choices only b gives the correct value of y. If you put 6 in the place of x in y= 3x-1 then y= 18-1 which is 17, and it does say 17 in 6,17.

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Which costs less to buy, a $1000 computer that is discounted 20% and then offered at an additional 10% off, or a $1000 computer

katen-ka-za [31]

A computer discounted at 30% off is less expensive.

First: 1000*.8 = 800
800*.9 = $720

Second: 1000*.7 = $700

6 0

2 years ago

You are setting up a zip line in your yard. You map out your yard in a coordinate plane. An equation of the line representing th

finlep [7]

The <u>correct answer</u> is:

9.2 ft.

Explanation:

The distance from a point (m,n) to a line Ax+By+C=0 is given by the formula:
$d=\frac{|Am+Bn+C|}{\sqrt{A^2+B^2}}$

We first need to write our equation in the form Ax+By+C=0.
y=(-6/7)x+7

First we will add 6/7x to each side:
y+6/7x=(-6/7x)+7+(6/7x)
y+6/7x=7

Now we will subtract 7 from each side:
y+6/7x-7=7-7
y+6/7x-7=0

It will be easier to work with this equation if we do not have fractions. We can accomplish this by multiplying everything by the denominator of the fraction, 7:
y(7)+(6/7x)(7)-7(7)=0
7y+(42/7)x-49=0
7y+6x-49=0

Now we rearrange the terms to the x term is in front:
6x+7y-49=0

This is in the form Ax+By+C=0, where A=6, B=7 and C=-49.

Substituting these into our formula above along with our coordinates from our point (m,n)=(6, 14) we have:
$d=\frac{|Am+Bn+C|}{\sqrt{A^2+B^2}}
\\
\\d=\frac{|6(6)+7(14)-49|}{\sqrt{6^2+7^2}}
\\
\\d=\frac{|36+98-49|}{\sqrt{36+49}}
\\
\\d=\frac{|85|}{\sqrt{85}}=\frac{85}{\sqrt{85}}=9.2
$

7 0

2 years ago

Shawn is buying his first home. At closing he brought a check for $7570. The

Sedaia [141]

Answer:

$154,750 ~ APEX

Step-by-step explanation:

so basically ummmmmm well I guessed and got it right so hope this helps

7 0

2 years ago

Read 2 more answers

Jose ran13 mile in 3 minutes and 15 seconds. Calculate Jose's rate in minutes per mile; in other words, the time that it would t

Alexus [3.1K]

Answer:

1 mile = 15 seconds

Step-by-step explanation:

3 minutes and 15 seconds = 3 min + 15 sec

1 minute = 60 seconds

15 seconds =15/60 = 0,25 min

then

3minutes and 15 seconds = 3.25 minutes

13miles in 3 minutes and 15 seconds

= 13 miles / 3.25 minutes

= 4 miles / 1 minute

every minute Jose ran 4 miles

then:

4 miles is a 1 minute

1 mile is a T minutes

T = 1*1/4

T = 1/4 minute

1 minute = 60 secomds

1/4 minute = 60*1/4 = 60/4 = 15 seconds

7 0

2 years ago

Read 2 more answers

The volume Vr (in cubic meters) of a spherical balloon with radius r meters is given by =Vr43πr3. The radius Wt (in meters) afte

Arte-miy333 [17]

Answer:

$M_t=\frac{1372}{27}\pi t^9$

Step-by-step explanation:

We are given that Volume of spherical balloon in cubic meters

$V_r=\frac{4}{3}\pir^3$

We have to find the value of volume of the balloon after t seconds.

We are given that radius of spherical balloon after t seconds

$W_t=7t^3$

Substitute the value then we get

$M_t=\frac{4}{3}\pi(7t^3)^3$

$M_t=\frac{1372}{27}\pi t^9$

Hence, the volume of spherical balloon is given by the formula

$M_t=\frac{1372}{27}\pi t^9$

7 0

2 years ago