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3 years ago

15

During a sale, all video games are $10 off. Nicole used a coupon to get an additional $20 off her purchase. If the original pric

e of a video game was $75, how much did Nicole pay?

1 answer:

MA_775_DIABLO [31]3 years ago

3 0

Answer:

45 dollars

Step-by-step explanation:

20 plus 10 is 30. That means she gets a total of 30 dollars off. Subtract 30 from the original price of 75, and you get 45 dollars.

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-7x+4= 18<br> set notation<br> interval notation

denpristay [2]

Answer:

Step-by-step explanation:

-7x+4=18

-7x=14

Divide-7 on both sides of the equal sign which is going to leave you with x=-2

7 0

3 years ago

A sample of 11 students using a Ti-89 calculator averaged 31.5 items identified, with a standard deviation of 8.35. A sample of

lina2011 [118]

Answer:

We reject H₀, with CI = 90 % we can conclude that the mean numbers of times identified with Ti-84 does not exceed that of the Ti-89 by more than 1,80

Step-by-step explanation:

Ti-89 Calculator

Sample mean x = 31,5

Sample standard deviation s₂ = 8,35

Sample size n₂ = 11

Ti-84 Calculator

Sample mean y = 46,2

Sample standard deviation s₁ = 9,99

Sample size n₁ = 12

t(s) = ( y - x - d ) / √s₁²/n₁ + s₂²/n₂

t(s) = 12,9 / √(99,8/12) + (69,72/11)

t(s) = 12,9 / √8,32 + 6,34

t(s) = 12,9 / 3,83

t(s) = 3,37

Test Hypothesis

Null Hypothesis H₀ y - x > 1,80

Altenative Hypothesis Hₐ y - x ≤ 1,80

We have a t(s) = 3,37

We need to compare with t(c) critical value for

t(c) α; n₁ +n₂-2 df = 12 +11 -2 df = 21

If we choose CI = 95 % then α = 5 % α = 0,05

From t-student table

t(c) = 1,72

t(s) = 3,37

t(s) >t(c)

t(s) is in the rejection region therefore we accept Hₐ with CI = 95 %

8 0

3 years ago

How would I graph 3x−y=1 ?

Levart [38]

Step-by-step explanation:

3x-y= 1

bring 3x to the right so it become negative

-y= 1 - 3x

divide by -1 for each expression

y = -1 + 3x

arrange it by bring 3x to the front side

y = 3x-1

3 0

2 years ago

If y = 2x + 5, find the value of y when x =10?

k0ka [10]

Answer:

value of y = 25

Step-by-step explanation:

substituting the value of x as 10 ;

y = (2×10) + 5
y = 20 + 5
y = 25

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4 0

3 years ago

Read 2 more answers

Factor completely: 2x4 − 32.

vazorg [7]

Answer:

Option b) is correct.

The completed factor of given expression is $2(x-2)(x+2)(x^2+4)$

Step-by-step explanation:

Given expression is $2x^4-32$

To find the completed factor for the given expression:

$2x^4-32$ :

Taking the common number "2" outside to the above expression we get

$2x^4-32=2(x^4-16)$

Now rewritting the above expression as below

$=2(x^4-2^4)$ (since 16 can be written as the number 2 to the power of 4)

$=2((x^2)^2-(2^2)^2)$

The above expression is of the form $a^2-b^2=(a+b)(a-b)$

Here $a=x^2$ and $b=2^2$

Therefore it becomes

$=2(x^2+2^2)(x^2-2^2)$

$=2(x^2+4)(x^2-2^2)$

The above expression is of the form $a^2-b^2=(a+b)(a-b)$

Here $a=x$ and $b=2$

Therefore it becomes

$=2(x^2+4)(x+2)(x-2)$

$=2(x+2)(x-2)(x^2+4)$

Therefore $=2(x+2)(x-2)(x^2+4)$

$2x^4-32=2(x-2)(x+2)(x^2+4)$

Option b) is correct.

The completed factor of given expression is $2(x-2)(x+2)(x^2+4)$

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4 years ago

Read 2 more answers