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3 years ago

What is the solution of this system of equations?

Mathematics

1 answer:

Phoenix [80]3 years ago

4 0

Answer:

B. (-2,3)

Explanation:

First, we'll turn both lines to slope-intercept form:

x + 3y = 7

Subtract x on both sides to get 3y = -x + 7, then divide 3 on both sides to get y = -1/3x + 7/3.

3x + 2y = 0

Subtract 3x on both sides to get 2y = -3x, then divide 2 on both sides to get y = -3/2x.

Now you can graph (I did it for you above⤴⤴⤴).

Hope this helps you :)

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How do I do this ? I need help

Amiraneli [1.4K]

Answer: 40

Step-by-step explanation:

You first start by multiplying 15 times 16 to see how many ounces you have.

15 x 16 = 240

Then you divide it by 6

240/6 is 40

So you can make 40 burgers

8 0

3 years ago

A particle moves on the hyperbola xy=18 for time t≥0 seconds. At a certain instant, y=6 and dydt=8. What is x that this instant?

professor190 [17]

Answer:

The value of x at this instant is 3.

Step-by-step explanation:

Let $x\cdot y = 18$ , we get an additional equation by implicit differentiation:

$x\cdot \frac{dy}{dt}+y\cdot \frac{dx}{dt} = 0$ (1)

From the first equation we find that:

$x = \frac{18}{y}$ (2)

By applying (2) in (1), we get the resulting expression:

$\frac{18}{y}\cdot \frac{dy}{dt}+y\cdot \frac{dx}{dt} = 0$ (3)

$y\cdot \frac{dx}{dt}=-\frac{18}{y}\cdot \frac{dy}{dt}$

$\frac{dx}{dt} = -\frac{18}{y^{2}} \cdot \frac{dy}{dt}$

If we know that $y = 6$ and $\frac{dy}{dt} = 8$ , then the first derivative of x in time is:

$\frac{dx}{dt} = -\frac{18}{6^{2}} \cdot (8)$

$\frac{dx}{dt} = -4$

From (1) we determine the value of x at this instant:

$x\cdot \frac{dy}{dt} = -y\cdot \frac{dx}{dt}$

$x = -y\cdot \left(\frac{\frac{dx}{dt} }{\frac{dy}{dt} } \right)$

$x = -6\cdot \left(\frac{-4}{8} \right)$

$x = 3$

The value of x at this instant is 3.

4 0

3 years ago

What is the equation of the line that passes through the point (-2,0) and has a slope of -2?

prohojiy [21]

Answer:

so the equation is y=-2x-4

Step-by-step explanation:

sub the points in the equation to find the y-intercept

y=x(-2)+b

0=-2(-2)+b

0=4+b

0-4=b

-4=b

6 0

3 years ago

Convert the rate 1000 ounces per 2 hours to cups per minutes?

Andrews [41]

125 cups in 120 minutes (because 1000 oz/8 = 125 cups and 2 hrs is 120 minutes)

$\frac{125}{120} = \frac{n}{1}$

now reduce the fraction by dividing the numerator and denominator by 5 = (optional)
$\frac{25}{24} = \frac{n}{1}$
So 24n = 25 Divide both sides by 24
n= 1 1/24 cups per minute

5 0

3 years ago

Y=|x| (What is the range of this function?)

olasank [31]

Answer:

Any number both positive or negative.

y = {all numbers}

Step-by-step explanation:

5 0

3 years ago

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