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3 years ago

Solve the system of equations given below.

Mathematics

1 answer:

Yuri [45]3 years ago

4 0

Answer:

C. $(-1, 10)$

Step-by-step explanation:

{5 = 10 - 5 ☑

{−20 = 1 - 21 ☑

This is what you will get when you plug these coordinates into the system of equations.

I am joyous to assist you anytime.

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Solve the following equation in terms of y. Remember to use inverse operations to isolate the variable you are solving for. 2x+3

Ierofanga [76]

2x+3y=6
subtract 2x from both sides.
3y=6-2x
divide by 3 on all sides.
y=2-2/3x

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3 years ago

1/4x+3/8 factored by the GCF

zhuklara [117]

Given:

$\dfrac{1}{4}x+\dfrac{3}{8}$

To find:

The factor form of given expression by the GCF.

Solution:

First we need to find the GCF of $\dfrac{1}{4}$ and $\dfrac{3}{8}$ .

So, make denominators same.

$\dfrac{1}{4}=\dfrac{1\times 2}{4\times 2}=\dfrac{2}{8}$

Now,

$GCF\left(\dfrac{2}{8},\dfrac{3}{8}\right)=\dfrac{1}{8}$

$GCF\left(\dfrac{1}{4},\dfrac{3}{8}\right)=\dfrac{1}{8}$

We have,

$\dfrac{1}{4}x+\dfrac{3}{8}$

It can be written as

$=\dfrac{2}{8}x+\dfrac{3}{8}$

Taking out the GCF $\dfrac{1}{8}$ , we get

$=\dfrac{1}{8}(2x+3)$

Therefore, the required factor form is $\dfrac{1}{8}(2x+3)$ .

6 0

3 years ago

Given l(-4,3) and m(-7,-2), what's the length of lm

Sergeeva-Olga [200]

Distance = Square Root ( (X difference)^2 + (Y difference)^2 )

Distance = Square Root ( (-4 --7)^2 + ( 3 --2)^2 )

Distance = Square Root (3^2 + 5^2)

Distance = Square Root (9 + 25)

Distance = Square Root (34)

Distance = 5.8309518948

Therefore the length of lm equals 5.8309518948

3 0

3 years ago

In triangle ABC, AX = XY = YB = BC and the measure of angle ABC is 120 degrees. What is the number of degrees in the measure of

astra-53 [7]

Answer:

the number of degrees=2

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4 years ago

s – 34% Americano, 21% Cappuccino, 14% Espresso, 11% Latte, 10% Macchiato, 10% Other. In a random sample of 450 customers, he fi

Sever21 [200]

Answer:

0.000005178

Step-by-step explanation:

we test for the goodness of fit

h0; drink preferences not changed

h1: drink preferences changed

alpha = 0.05

we solve for the test statistics

the chsquare test was performed in the attachment

Chi square = (O-E)²/E

chisquare = 32.30188

degree of freedom = n -1 = 6-1 = 5

using the chi distribution function on excel i calculated the p value

CHIDIST(32.30188, 5) =

P-value = 0.000005178

pvalue is less than 0.05 so we reject null hypothesis and conclude that there is sufficient evidence that drink preferences are changed.

the chisquare calculation is in the attachment. Thank you!

7 0

3 years ago