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2 years ago

Solve the system using substitution. -2x+5y=19 3x-4=y

Mathematics

1 answer:

omeli [17]2 years ago

4 0

Answer:

answer is x=3 and y=5.... so it is (3,5)

Step-by-step explanation:

you want to combine them so y=3x-4 so subsitute y

-2x+5(3x-4)=19

-2x+15x-20=19

+20 +20

13x=39

--- ---

13 13

x=3

now subsitute 3 into x into any problem...

3(3)-4=y

9-4=y

and 9-4 is 5 so it is...

(3,5)

pls give me brainliest

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Simplify the rational expression. state any restrictions on the variable. n^4-11n^2+30/n^4-7n^2+10

Andrej [43]

For this case we have the following expression:
 $\frac{n ^ 4-11n ^ 2 + 30}{ n ^ 4-7n ^ 2 + 10} 

$
 We are going to make the following change of variables:
 $x = n ^ 2
$
Rewriting the expression we have:
 $\frac{(x ^ 2-11x + 30)}{(x ^ 2-7x + 10)} 

$
Factoring the expression we have:
 $\frac{(x-5) (x-6)}{(x-5) (x-6)} 
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Canceling similar terms we have:
 $\frac{x-6}{x-2} 
$
Returning the change we have:
 $\frac{n ^ 2-6}{n ^ 2-2} 

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 The resctrictions of the function are those that make the denominator equal to zero.
We have then:
 $n ^ 2-2 = 0

n = +/- \sqrt{2} 
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 Answer:
The simplified expression is:
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$n = - \sqrt{2}$

7 0

2 years ago

The researcher trains a sample of 16 individuals in mindfulness and then collects data on how long they spend eating per day. Th

Mila [183]

Answer:

The calculated t-value is t=0.47.

Step-by-step explanation:

The question is incomplete:

"Americans typically eat quickly and do not spend time enjoying their meal. A researcher plans to test if those trained in mindfulness will take more time to enjoy their meal (that is, they will spend more time eating than the general population). The general population spends an average of 68 minutes per day combined eating their three meals. The researcher trains a sample of 16 individuals in mindfulness and then collects data on how long they spend eating per day. The sample mean for those trained in mindfulness equals 74; the SS = 150. What is the calculated t-value? Round your answer to two decimal places."

The degrees of freedom are (n-1)=(16-1)=15

The standard deviation is:

$s=\sqrt{\frac{SS}{n-1}}=\sqrt{\frac{150}{16-1}}=\sqrt{10}=3.16$

The t-value can be calculated as:

$t=\frac{M-\mu}{\sigma/\sqrt{n}} =\frac{74-68}{3.16/\sqrt{16}} \\\\t=\frac{6}{3.16*4}=\frac{6}{12.64}= 0.47$

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2 years ago

Whole number between 1 and 10, and then write its reciprocal.

Natasha_Volkova [10]

Answer:

reciprocal: 1/2

brainliest accepted!!!;)

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3 years ago

Modeling with systems of linear inequalities

NeX [460]

Huh what you mean.....

8 0

2 years ago

Help can somone help please.

disa [49]

Answer:

0.7

Step-by-step explanation:

5(9n-6)

5×9n-5×6

45n-30

45n/45 -30/45

or 45n÷45-30÷45

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0.7

hope dis helps!!!!!

8 0

1 year ago