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serg [7]
2 years ago
6

Write an equivalent expression for (x + 4)^2 distributive property

Mathematics
1 answer:
topjm [15]2 years ago
3 0

Answer:

x² + 8x + 16

Step-by-step explanation:

(x + 4)²

= (x + 4)(x + 4)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x + 4) + 4(x + 4) ← distribute parenthesis

= x² + 4x + 4x + 16 ← collect like terms

= x² + 8x + 16

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What is the slope of a ski run that drops 5 feet for every horizontal change of 20 feet? write your answer in simplest form?
il63 [147K]
The slope is rise over run. The ski run drops 5, so it would be -5, and the horizontal change of 20 would be the run, so you'd get -5 over 20 then you divide both by 5 and you get your answer of -1 over 4.

4 0
3 years ago
The math club sold roses and tulips this year for Valentine's day. The number of roses sold was 8 more and 4 times the number of
Kipish [7]

Answer: 76 roses were sold.

Step-by-step explanation:

Let x represent the number of tulips that the math club sold.

Let y represent the number of roses that the math club sold.

The number of roses sold was 8 more than 4 times the number of tulips sold. This means that

y = 4x + 8

Tulips were sold for $2 each and roses for $5 each. The club made $414.00. This means that

2x + 5y = 414- - - - - - - - - 1

Substituting y = 4x + 8 into equation 1, it becomes

2x + 5(4x + 8) = 414

2x + 20x + 40 = 414

22x = 414 - 40

22x = 374

x = 374/22

x = 17

y = 4x + 8 = 4 × 17 + 8

y = 76

5 0
4 years ago
Read 2 more answers
Mr. Wang is buying a $15 box of trail mix at Whole Foods, where tax is 6%. If Mr. Wang has a coupon for 10% off the price of any
algol13

Answer:

$47 plus whole foods market

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
⦁ Find the sum of the series . 15 sigma n=1, (2n-1) Show your work
sergejj [24]

Answer:

225

Step-by-step explanation:

The sum of this series is given by the formula:

S_n=\frac{n}{2}[2a+(n-1)d]

Where

S_n is the sum

a is the first term (we get this by plugging in n = 1 into "2n-1", we have 2(1) - 1 = 1)

n is the number of terms (the sum is defined for n = 1 to n = 15, so 15 terms)

d is the common different (the difference is successive terms. Here, 2nd term would be 2(2) - 1 = 3, and first term was 1, so d = 3 -1 = 2)

<em>plugging in the info, we will get the sum:</em>

<em>S_n=\frac{n}{2}[2a+(n-1)d]\\S_{15}=\frac{15}{2}[2(1)+(15-1)(2)]\\=225</em>

<em>The sum is 225</em>

4 0
3 years ago
Does second-hand smoke increase the risk of a low birthweight? A baby is considered have low birthweight if he/she weighs less t
marishachu [46]

Answer:

Option 2) Null hypothesis: p = 0.078 , Alternate hypothesis: p > 0.078

Step-by-step explanation:

We are given the following in the question:

According to the National Center of Health Statistics, about 7.8% of all babies born in the U.S. are categorized as low birth weight.

Sample size, n = 1200

p = 7.8% = 0.078

We have to carry a hypothesis test whether national percentage is higher than 7.8% or not.

Thus, we can design the null and the alternate hypothesis

H_{0}: p = 0.078\H_A: p > 0.078

Thus, the correct answer is:

Option 2) Null hypothesis: p = 0.078 , Alternate hypothesis: p > 0.078

5 0
3 years ago
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