All categories

2 years ago

Use substitution to solve the following system of equations. Show all of your work. Write the solution as an ordered pair.

Mathematics

1 answer:

trapecia [35]2 years ago

3 0

Answer:

$\left \{ {{x=2} \atop {y=2}} \right.$

Step-by-step explanation:

Substitute the second equation into the first one:

$4x+(2x-2)=10\\6x-2=10\\6x=12\\x=2$

Substitute $x=2$ into the second equation:

$y=2\times 2-2\\y=4-2\\y=2$

$\therefore \left \{ {{x=2} \atop {y=2}} \right.$

You might be interested in

5. Mr. Rodriguez invests $2,000 in a savings plan. The savings account pays an annual interest rate of 5.75% on the amount he pu

slamgirl [31]

Answer: $1150

Step-by-step explanation:

Simple interest is calculated as:

= Principal × Rate × Time

where,

Principal = $2000

Rate = 5.75%

Time = 10

Interest = 2000 × 5.75% × 10

= 2000 × 0.0575 × 10

= 1150

The amount earned will be $1150.

4 0

3 years ago

Which is the correct first line for dividing the function

Firlakuza [10]

Given function is f(x) = x³ -12x +16.

We can write it as x³ +0x² -12x +16.

We need to write the numbers in order from left to right, so it would be {1, 0, -12, 16}.

Given factor is x -2 = 0, that means x = 2. So we need to divide the numbers by 2.

So correct way to divide the function would be 2 L 1, 0, -12, 16.

Hence, option C is correct.

6 0

3 years ago

Read 2 more answers

Nico Joven presently earns $348.40 per week. He claims

Anika [276]

Answer:

tbh i be wasting m time and ur tiem no kap

Step-by-step explanation:

6 0

3 years ago

THIS IS MY LAST QUETSION!!!! Please help!!!

DedPeter [7]

Answer:

x=19(rounded) or 18.7882942281

Step-by-step explanation:

a^2+b^2=C^2

8^2+17^2=C^2

64+289= C^2

353=C^2

$\sqrt{353} =\sqrt{C^2}\\$

18.7882942281= C

19= C

7 0

3 years ago

Please help!! I’m not sure how to answer this question!!

nlexa [21]

<h3>Answer: 9V</h3>

=============================================================

Reason:

The volume expression of a cone with radius r and height h is

$\frac{1}{3}\pi*r^2*h$

Let's plug in the given height h = 12 and we'd get

$\frac{1}{3}\pi*r^2*h\\\\\frac{1}{3}\pi*r^2*12\\\\\left(\frac{1}{3}*12\right)\pi*r^2\\\\4\pi*r^2\\\\$

This is the volume of the first cone. We're told the first cone has a volume of V, so we can say $V = 4\pi r^2$

We can't find the actual numeric volume because we don't know what value replaces r. So we leave it as is.

The second cone has the same height (h = 12) but the radius is now 3 times in size. Instead of r, we use 3r

Replace every copy of r with 3r. Then simplify

$4\pi*r^2\\\\4\pi*(3r)^2\\\\4\pi*9r^2\\\\9(4\pi r^2)\\\\9V\\\\$

The radius tripled which results in a volume that's 9 times bigger.

3 0

2 years ago