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fiasKO [112]
3 years ago
11

andy is wrapping gifts for his family. he ties 25 inches of ribbon around each gift. which function gives the relationship betwe

en the number of gifts (g) and the length of ribbon used (r)
Mathematics
1 answer:
Vaselesa [24]3 years ago
8 0
The total length of the ribbon used is expressed as r and is a product of the number of gifts (g) and the length of ribbon tied in each gift. This relationship may be expressed by the equation,
                                  r = (25) x (g)
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Find all real zeros of number 11
tensa zangetsu [6.8K]
The answer is, x = 4,  \frac{3}{2}, -7

I'm about to basically type up a report on explaining this answer so bear with me :P

<em>Step 1.)</em> Factor 2x^{3}+  3x^{2}  +65x+84 using Polynomial Division.

Just a basic rundown of what polynomial division is. When using polynomial division for this problem we find all the factors of our constant, 84, and then see which one, when substituted for x, makes the expression equal zero. After we find our variable that makes the problem equal zero, we divide it into our original expression. Here's how it's done:

These are our factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

strating from one and plugging in these numbers, the first one we come upon that works is 4. So, now we will divide. below is a picture of what it should look like.

After we divide, we get an answer of ( 2x^{2} +11x-21)(x-4)

<em>Step 2.)</em> split ( 2x^{2} +11x-21)(x-4) into two terms

To do that we multiply the coefficient of the first term (2) by the constant (-21)
So: 2*-21=-42

Now we ask "which two numbers add up to equal 11, but multiply to equal -42". Those two numbers are 14 and -3.

Now we basically split 11x as the sum of 14 and -3. So now our problem should look like this: (2x^{2}+14x-3x-21) (x-4)
<span><span>
</span></span><em>Step 3.)</em> Factor out the common terms in the first two terms, then the last two like this:

From this: (2x^{2}+14x-3x-21) (x-4)

To this: (2x(x+7)-3(x+7))(x-4)

<em>Step 4.)</em> Factor the term (x + 7) out of the parenthesis

After we do that, we are left with our problem looking like this:

(x+7)(2x-3)(x-4)

The last thing we do is set each parenthesis equal to zero and work it out to find our zeros.

(x+7) = 0
x = -7

(2x-3) =0
x =  \frac{3}{2}

(x-4)=0
x=4

That gives us our answer of our zeros being x = 4, \frac{3}{2}, -7

Thank you for our question! I hope this helped! Have an amazing day! :D

4 0
2 years ago
What is the waist to hip ratio? Calculate the WHR of a male with a waist measurement of 40 inches and hip measurement 2 inches l
aev [14]
Waist to Hip Ratio (WHR)  =  Waist Measurement / Hip Measurement

Waist Measurement = 40 inches
Hip Measurement = 2 inches less =  (40 -2) = 38 inches.

Waist to Hip Ratio (WHR)  =  40/38 =  1.0526

8 0
3 years ago
30 men repair a road in 56 days by working 6 hours daily. in how many days 45 men will repair same road by working 7 hours daily
zepelin [54]

Answer:

Case1:

Men : 30

Work : 1

Time (day×hr): 56×6 = 336 hr.

Case2:

Men : let it be m men.

Work: 1

Time: 45×7 = 315 hr.

Work being constant in both cases, men and time are in inverse proportion i.e, more men take less time.

Product of men and time is constant in both cases.

Therefore, 30×336=m×315

Or, 30×336/315 = m

Or, m = 32.

Hence, required number of men is 32.

Step-by-step explanation:

8 0
3 years ago
Walter pays $4 for each gallon, g, of gas for his lawn mower. He uses a gift card worth $5 to reduce the amount he owes for his
dem82 [27]
Hope this helps check a website calles math-way without the dash
4 0
3 years ago
If 5x-3=3x+5, what is the value of 2X-8? 5
Degger [83]

Answer:

5x-3=3x+5

5x-3x=5+3

2x=8

x=8/2

x=4

Therefore,

Value of 2x-8

Substitute the value of x

2(4)-8

8-8=0

If you are helped with my answer pls tag me brianliest

I really want it

Plss

THANK you.....

7 0
3 years ago
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