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Molodets [167]
2 years ago
9

Mitchell solves the following system of equations using the elimination method.

Mathematics
1 answer:
antiseptic1488 [7]2 years ago
7 0
Multiply the first equation by 2 or divide the second one my 2, to get the #X opposites, to cancel each other out

-4x+6y=12
4x-6y=-6

Or

-2x+3y=6
2x-3y=-3

there’s no solution either way
You might be interested in
Drag each tile to the correct box. not all tiles will be used.
lana66690 [7]

Answer:

y=\frac{13}{6}x             y= \frac{11}{5}x          y = \frac{21}{9}x          y = \frac{19}{8}x

Step-by-step explanation:

Given

The attached graph

Required

Equations with higher unit rate

First, calculate the unit rate of the graph

m = \frac{y_2 - y_1}{x_2 - x_1}

Where:

(x_1.y_1) = (0,0)

(x_2.y_2) = (7,15)

So:

m = \frac{15 - 0}{7 - 0}

m = \frac{15}{7}

m = 2.143

For the given options.

The unit rate is the coefficient of x

So: y = \frac{19}{8}x

Going by the above definition of unit rate.

m = \frac{19}{8}

m = 2.375

y = \frac{27}{13}x

m = \frac{27}{13}

m = 2.077

y = \frac{21}{9}x

m = \frac{21}{9}

m = 2.333

y= \frac{11}{5}x

m= \frac{11}{5}

m= 2.20

y = \frac{15}{7}x

m = \frac{15}{7}

m = 2.143

y = \frac{31}{15}x

m = \frac{31}{15}

y = 2.067

y=\frac{13}{6}x

m=\frac{13}{6}

m=2.167

The unit rates grater than the graph's from small to large are:

y=\frac{13}{6}x             y= \frac{11}{5}x          y = \frac{21}{9}x          y = \frac{19}{8}x

m=\frac{13}{6}              m= \frac{11}{5}           m = \frac{21}{9}            m = \frac{19}{8}

4 0
3 years ago
Read 2 more answers
Use the law of cosines to find the value of 2*4*5 cos theta
sweet-ann [11.9K]
We can proceed in solving the problem since all information are given such as 2*4*5costheta.
we have a=4, b=5, and C=theta
let us solve for "c" using Pythagorean
c²=a²+b²
c²=4²+5²
c=6.4
Solving for theta or C
c²=a²+b²-2abcosC
6.4²=4²+5²-2*4*5*cosC
C=90

3 0
3 years ago
Read 2 more answers
Integer that describes debit of $40
Sladkaya [172]
Alright - we want to start off by seeing if this number would be positive or negative. Debit means that you owe something, or that you have to pay that amount of money. If you had money to buy things with, that would be positive, but since debit means you haven’t paid something off yet, that is negative. Next, since you have 40 dollars in debt, you have -40 dollars.

Feel free to ask further questions!
3 0
2 years ago
HELP!!!
Jobisdone [24]

Answer:

16 is the number of quarters and 14 is the number of dimes

Step-by-step explanation:

we know that

1\ dime=\$0.10

1\ quarter=\$0.25

Let

x-----> the number of dimes

y------> the number of quarters

we know that

0.10x+0.25y=5.40 -----> equation A

x+y=30 ----Isolate the variable y

y=30-x -----> equation B

Substitute equation B in equation A

0.10x+0.25(30-x)=5.40      

0.10x+7.5-0.25x=5.40

0.25x-0.10x=7.5-5.40

0.15x=2.1

x=14\ dimes

Find the value of y

y=30-x

y=30-14=16\ quarters

therefore

16 is the number of quarters and 14 is the number of dimes

8 0
3 years ago
Read 2 more answers
The inverse variation equation shows the relationship between wavelength in meters, x, and frequency, y.
wolverine [178]

Answer:

\lambda=10^{-10}\ m

Step-by-step explanation:

Given that,

The frequency of x-rays, f=3\times 10^{18}\ Hz

We need to find the wavelength for x-rays. The relation between wavelength, frequency and speed of light is given by :

v=f\lambda\\\\\lambda=\dfrac{c}{f}\\\\\lambda=\dfrac{3\times 10^{8}}{3\times 10^{18}}\\\\=10^{-10}\ m

So, the wavelength for x-rays is 10^{-10}\ m.

7 0
3 years ago
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