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strojnjashka [21]
3 years ago
5

How can you tell if a system of equations has infinite solutions?

Mathematics
1 answer:
kirill [66]3 years ago
4 0
To tell if an equation has infinite solutions, the equation will be equal to each other.

For example,

x = x
x + 1 = x + 1
x - y = x - y

And so on...

And in special cases,

0x = 0
0x = 0(y + 1)

They have infinite solutions because there's no constant to determine the variable.
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If two out of every three balls in a multi color package is pink how many balls in a package of 21 balls will be pink
LuckyWell [14K]

Answer:

14 balls will be pink out of 21 balls.

Step-by-step explanation:

Given that:

2 out of every 3 balls are pink in a multi color package.

Ratio of pink balls to balls drawn = 2:3

Number of balls in package = 21 balls

Number of pink balls = x

Ratio = x:21

This is a proportional relationship

2 : 3 :: x : 21

Product of mean = Product of extreme

3x = 21*2

3x = 42

Dividing both sides by 3

\frac{3x}{3}=\frac{42}{3}\\x=14

Hence,

14 balls will be pink out of 21 balls.

3 0
3 years ago
Which equation is written in slope-intercept form? y=3x-2 x=1/2y+8 2x+5y=12 3y=8x-5
Triss [41]

Answer:

y=3x-2

Step-by-step explanation:

Because the equation for slope intercept form is y=mx+b!

5 0
4 years ago
Read 2 more answers
Several years​ ago, 39​% of parents who had children in grades​ K-12 were satisfied with the quality of education the students r
BaLLatris [955]
<h2>Answer with explanation:</h2>

Let p be the population proportion  of parents who had children in grades​ K-12 were satisfied with the quality of education the students receive.

Given : Several years​ ago, 39​% of parents who had children in grades​ K-12 were satisfied with the quality of education the students receive.

Set hypothesis to test :

H_0: p=0.39\\\\H_a :p\neq0.39

Sample size : n= 1055

Sample proportion : \hat{p}=\dfrac{466}{1055}=0.441706161137\approx0.44

Critical value for 95% confidence : z_{\alpha/2}=1.96

Confidence interval : \hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}}

0.44\pm (1.96)\sqrt{\dfrac{0.39(1-0.39)}{1055}}\\\\0.44\pm0.0299536805135\\\\0.44\pm0.03\\\\=(0.44-0.03, 0.44+0.03)\\\\=(0.41,\ 0.47)

Since , Confidence interval does not contain 0.39.

It means we reject the null hypothesis.

We conclude that 95​% confidence interval represents evidence that​ parents' attitudes toward the quality of education have changed.

8 0
4 years ago
NEED HELP ASAP 50 POINTS 20 MINS LEFT
lys-0071 [83]

Answer:

look at the picture I have sent

6 0
3 years ago
What tactic did Filipino insurgents use to undermine American power?
Aliun [14]
The answer for this question would be C) Guerilla warfare or the third option.
6 0
3 years ago
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