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4 years ago

2x+y=5

1 answer:

vladimir2022 [97]4 years ago

4 0

I'll do substitution for you.
Lets flip the second equation around a little to make it x=-4y-8
Now plug it into the first equation.

2(-4y-8)+y=5
-8y-16+y=5
-7y=21
y=-3
Plug it back in to get x and then you solved the system.
2x-3=5
2x=8
x=4
So the solution to the system is
(4,-3)

Now to do it via elimination..
Lets get rid of the x to just leave the y
Multiply the second equation by -2..
2x+y=5
-2x-8y=16
combine like terms...
-7y=21
y=-3
plug it in again...
2x-3=5
2x=8
x=4
(4,-3)

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Which equation represents the hyperbola shown in the graph? A. x-3^2/64-y-1^2/36=1 B. x+3^2/64-y+1^2/36=1 C. y+1^2/64 - x+3^2/36

Leokris [45]

Answer:

C. (y + 3)²/64 - (x + 1)²/36 = 1

Step-by-step explanation:

I think your question missed key information, allow me to add in and hope it will fit the orginal one. Please have a look at the attached photo

My answer:

From the photo, the given information is:

The vertex : (−1, 5).

The center is (−1, −3).

As we know, the hyperbola has general equation for it is:

$\frac{(y-k)^{2} }{a^{2}}-\frac{(x-h)^{2} }{b^{2}}=1$

where h and k are the coordinate for the center (h, k) and we only needed the center of the hyperbola to find our answer.

In this situation, we have:

$\frac{(y-(-3))^{2} }{a^{2}}-\frac{(x-(-1))^{2} }{b^{2}}=1\\\frac{(y+3)^{2} }{a^{2}}-\frac{(x+1)^{2} }{b^{2}}=1$

Hence, we choose C.

Hope it will find you well.

4 0

4 years ago

What are the coordinates of the vertex of the graph:

Aleks04 [339]

Answer is C. (-7, -16)

8 0

3 years ago

Read 2 more answers

Alec starts up a monthly subscription potato box. It costs 18.20 dollars per month,

denis-greek [22]

A. The formula (mathematical function) for the monthly revenue, R, earned by Alec, R(s, n) = <u>$18.20s + $5n</u>.

B. Using the formula above, the value of R(10, 3) is $197.

<h3>What is a function?</h3>

A function is an expression, rule, or law defining the relationship between an independent variable and a dependent variable.

Functions are used to define physical relationships between variables.

<h3>Data and Calculations:</h3>

Cost monthly subscription = $28.20 per box

Number of normal potatoes in each box = 16

Cost of additional luxury potatoes = $5 per potato

If the monthly revenue function, R, is given as R(s, n) where:

s = number of monthly subscribers

n = total number of luxury potatoes ordered

The monthly revenue, R, earned by Alec, R(s, n) = <u>$18.20s + $5n</u>.

The value of R(10, 3) is $197 ($18.20 x 10 + $5 x 3)

Thus, using the formula above, the value of R(10, 3) is $197.

Learn more about mathematical functions at brainly.com/question/25638609

#SPJ1

6 0

2 years ago

Find the sum of 2x^2 + 3x - 4, 8 - 3x, and -5x^2 + 2.

AfilCa [17]

$(2x^2+3x-4)+(8-3x)+(-5x^2+2)\\\\=(2x^2-5x^2)+(3x-3x)+(-4+8+2)\\\\=-3x^2+6$

$Answer:\ C)\ -3x^2+6}$

5 0

3 years ago

Rename 7/4 as a percent

Over [174]

Answer:

175

Step-by-step explanation:

The method to change fraction to percent is as follows: Divide the numerator by denominator. Take the result and multiply by 100 . The result is the fraction as a percent.

7 0

4 years ago