Find The ordered pairs for 3x+7y=17

Jacob would like to have $50,000 when he turns 40 (so he can throw a big party for all his former teachers!) he has about 35 yea

zepelin [54]

Jacob must now invest $10,712,72 to have $50,000 for the party.

3 0

3 years ago

Estefani‘s house is at point E (3,-2) and Jasmin’s house is at point J (-5,3). Jasmin’s house is the Mid-point of Estefani’s hou

iren [92.7K]

The formula for midpoint is

( $\frac{x_{1}+x_{2}}{2}$ , $\frac{y_{1}+y_{2}}{2}$ )

Look at the image below to see the line segment of Estefani's (A), Jasmin's (M), and Preston's (B) houses. Keep in mind that the segment shown below is not accurate in regards to how the line segment formed by Estefani's, Jasmin's, and Preston's houses. It is simply there so you can picture the segment better.

In this case:

$x_{1} =3\\x_{2} =unknown\\y_{1} =-2\\y_{2} =unknown$

^^^Plug in these number into the formula given above...

( $\frac{3+x}{2}$ , $\frac{-2 + y}{2}$ )

To find what x is (a coordinate of Preston's house) you must take the x-value part of the midpoint equation ( $\frac{3+x}{2}$ ) and set it equal to the x-value of the midpoint (-5). Then you must solve for x:

$\frac{3+x}{2}$ = -5

3 + x = -5 * 2

3 + x = -10

x = -10 - 3

x = -13

To find what y is (a coordinate of Preston's house) you must take the y-value part of the midpoint equation( $\frac{-2 + y}{2}$ ) and set it equal to the y-value of the midpoint (3). Then you must solve for y:

$\frac{-2 + y}{2}$ = 3

-2 + y = 3 * 2

-2 + y = 6

y = 6 + 2

y = 8

The coordinate of Preston's house is:

(-13, 8)

Hope this helped!

~Just a girl in love with Shawn Mendes

7 0

3 years ago

The remainder obtained when 3x^3 - 6x^2 + ax -1 is divided by x+1 is equal to the remainder obtained when the same expression is

telo118 [61]

Answer:

5a

Step-by-step explanation:

Solution

verified

Verified by Toppr

We have x

3

−ax

2

+6x−a

Apply remainder theorem

x−a=0

x=a

Put x=a in equation.

(a)

3

−a(a)

2

+6a−a

=a

3

−a

3

+6a−a

=6a−a

=5a

Then reminder is 5a

4 0

3 years ago

Can anyone help pls it's hard

Pie

Answer:

$(A\cap B)\cap U$

Step-by-step explanation:

"And" indicates taking the <u>intersection</u> of two sets.

You want numbers that are in all three sets: multiples of 5, multiples of 2, and all 4-digit numbers.

8 0

3 years ago

What is the common ratio of the geometric sequence below? –2, 4, –8, 16, –32, ...

SOVA2 [1]

Answer:

The common ratio of the geometric sequence is:

$r=-2$

Step-by-step explanation:

A geometric sequence has a constant ratio 'r' and is defined by

$a_n=a_1\cdot r^{n-1}$

where

aₙ is the nth term

a₁ is the first term

r is the common ratio

Given the sequence

$-2,\:4,-8,\:16,\:-32,\:...$

Compute the ratios of all the adjacent terms: $r=\frac{a_n+1}{a_n}$

$\frac{4}{-2}=-2,\:\quad \frac{-8}{4}=-2,\:\quad \frac{16}{-8}=-2,\:\quad \frac{-32}{16}=-2$

The ratio of all the adjacent terms is the same and equal to

$r=-2$

Therefore, the common ratio of the geometric sequence is:

$r=-2$

5 0

2 years ago