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Irina-Kira [14]
3 years ago
5

Find the solution of the system of equations.

Mathematics
2 answers:
Alex17521 [72]3 years ago
5 0

Answer:

the answer is Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(−17/2, -7)

Equation Form:x=-17/2 y=-7

Otrada [13]3 years ago
3 0

Answer:

Step-by-step explanation:

I will answer it if the other person doesnt

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2. 3h – 10 = 35<br> 44<br> d
Doss [256]

Step-by-step explanation:

3h - 10 = 35 ➡ 3h = 35 + 10 ➡ 3h = 45 ➡h = 15

8 0
3 years ago
Read 2 more answers
Solving quadratic equations with complex solutions x2 + 4x + 8 = 0.
Daniel [21]

Answer:

\large\boxed{x=-2\pm2i}

Step-by-step explanation:

x^2+4x+8=0\qquad\text{subtract 8 from both sides}\\\\x^2+4x+8-8=0-8\\\\x^2+2(x)(2)=-8\qquad\text{add}\ 2^2\ \text{to both sides}\\\\x^2+2(x)(2)+2^2=-8+2^2\qquad\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\(x+2)^2=-8+4\\\\(x+2)^2=-4\iff x+2=\pm\sqrt{-4}\\\\x+2=\pm\sqrt{(4)(-1)}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\x+2=\pm\sqrt4\cdot\sqrt{-1}\qquad\text{use}\ \sqrt{-1}=i\\\\x+2=\pm2\cdot i\qquad\text{subtract 2 from both sides}\\\\x=-2\pm2i

4 0
3 years ago
Joanne's Dress Shop received an invoice dated July 25 for $1,400, with terms of 2/10, 1/15, n/60. On August 8, Joanne's Dress Sh
ss7ja [257]

The actual amount that should be credited is $757.58.

<u>Solution:</u>

Given that,

2% Discount if paid in 10 days.

1% Discount if paid in 15 days, (but greater that 10 days)

Net due in 60 days.

That is,

\bold{1400\times0.98 = 1372} will close the acount on days 1-10

\bold{1400\times0.99 = 1386} will close the acount on days 11-15

And August 8 is Day 15 and falls under the 1% discount rule.

Therefore, we have to divide the partial payment by the complement of the discount rate.

\bold{\Rightarrow\frac{750}{0.99} = 757.58} from the balance, and \bold{1400.00 - 757.58 = 642.42} is due by day 60.

5 0
3 years ago
Consider the given density curve.
Pavel [41]

We want to find the median for the given density curve.

The value of the median is 1.

Let's see how to solve this.

First, for a regular set {x₁, ..., xₙ} we define the median as the middle value. The difference between a set and a density curve is that the density curve is continuous, so getting the exact middle value can be harder.

Here, we have a constant density curve that goes from -1 to 3.

Because it is constant, the median will just be equal to the mean, thus the median is the average between the two extreme values.

Remember that the average between two numbers a and b is given by:

(a + b)/2

So we get:

m = (3 + (-1))/2 = 1

So we can conclude that the value of the median is 1, so the correct option is the second one, counting from the top.

If you want to learn more, you can read:

brainly.com/question/15857649

5 0
2 years ago
John can mow a lawn in 80 minutes. Rocky can mow the same lawn in 120 minutes. How long does it take for both John and Rocky to
mario62 [17]

Answer: it will take them 48 minutes.

Step-by-step explanation:

John can mow a lawn in 80 minutes. This means that the rate at which he moans the lawn per minute is 1/80

Rocky can mow the same lawn in 120 minutes. This means that the rate at which Rocky can mow the same lawn per minute is 1/120

If they work together, they would work simultaneously and their individual rates are additive. This means that their combined working rate would be

1/80 + 1/120 = 200/9600 = 1/48

Assuming it takes t hours for both of them to clean the room working together, the working rate per hour would be 1/t. Therefore,

1/48 = 1/t

t = 48 minutes

4 0
2 years ago
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