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3 years ago

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Jake has a piece of yarn that is feet long Blair has a piece of yarn that is 4 inches long. who has the longer piece of yarn? Ex

plain.

1 answer:

xenn [34]3 years ago

3 0

Jake has the longer piece of yarn, there is 12 inches in a foot. Meanwhile blair only has a 4 inch piece of yarn.

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A polynomial function has a root of –4 with multiplicity 4, a root of –1 with multiplicity 3, and a root of 5 with multiplicity

vitfil [10]

Answer:

To draw this graph, we start from the left in quadrant 3 drawing the curve to -4 on the x-axis to touch it but not cross. We continue back down and curve back around to cross the x-axis at -1. We continue up past -1 and curve back down to 5 on the x-axis. We touch here without crossing and draw the rest of our function heading back up. It should form a sideways s shape.

Step-by-step explanation:

A polynomials is an equation with many terms whose leading term is the highest exponent known as degree. The degree or exponent tells how many roots exist. These roots are the x-intercepts.

This polynomial has roots -4, -1, and 5. This means the graph must touch or cross through the x-axis at these x-values. What determines if it crosses the x-axis or the simple touch it and bounce back? The even or odd multiplicity - how many times the root occurs.

In this polynomial:

Root -4 has even multiplicity of 4 so it only touches and does not cross through.

Root -1 has odd multiplicity of 3 so crosses through.

Root 5 has even multiplicity of 6 so it only touches and does not cross through.

Lastly, what determines the facing of the graph (up or down) is the leading coefficient. If positive, the graph ends point up. If negative, the graph ends point down. All even degree graphs will have this shape.

To draw this graph, we start from the left in quadrant 3 drawing the curve to -4 on the x-axis to touch it but not cross. We continue back down and curve back around to cross the x-axis at -1. We continue up past -1 and curve back down to 5 on the x-axis. We touch here without crossing and draw the rest of our function heading back up. It should form a sideways s shape.

3 0

3 years ago

Read 2 more answers

To solve this system of equations by elimination, what operation could be used to eliminate the x-variable and find the value of

gayaneshka [121]

The system of equations are:

2x − 4y = 6
−3x + 3y = 9

To eliminate x, you should:
1. multiply first equation with 3
2. multiply second equation with 2
3. add the new equations you got

So your answer is A.

6 0

3 years ago

Read 2 more answers

Two dice are rolled; find the probability of rolling a doubles (2 of a kind) or getting two numbers whose sum is equal to 8.

emmainna [20.7K]

Answer:

The probability of rolling a doubles or getting two numbers whose sum is equal to 8 is 0.278.

Step-by-step explanation:

There are a total of <em>N</em> = 36 outcomes when rolling two fair dice.

The outcomes for rolling doubles are: {(1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6)}.

So, n (Doubles) = n (D) = 6

The outcomes for rolling a sum of 8 are: {(2, 6), (3, 5), (4, 4), (5, 3), (6, 2)}

So, n (Sum 8) = n (S8) = 5

Considering the outcomes of the above two events, it can be seen that there is a common outcome, i.e. (4, 4).

So, n (D ∩ S8) = 1

Compute the probability of rolling a doubles or getting two numbers whose sum is equal to 8 as follows:

$P(D\cup S8)=P(D)+P(S8)-P(D\cap S8)$

$=\frac{n(D)}{N}+\frac{n(S8)}{N}-\frac{n(D\cap S8)}{N}\\\\=\frac{6}{36}+\frac{5}{36}-\frac{1}{36}\\\\=\frac{6+5-1}{36}\\\\=\frac{10}{36}\\\\=0.278$

Thus, the probability of rolling a doubles or getting two numbers whose sum is equal to 8 is 0.278.

4 0

3 years ago

The length of a rectangle is 10 yards more than the width. If the perimeter is 68 yards, what are the length and width?

quester [9]

Divide the perimeter by 2, this will give you the sum of one length and one width.

68/2 = 34 yards

Now the length is 10 yards more, so subtract 10 from the 34 and divide by 2 again:

34 - 10 = 24

24 /2 = 12

The width is 12 yards.

The length is 12 + 10 = 22 yards.

5 0

4 years ago

The bank contains pennies, nickels, dimes, and quarters. There are 4 more nickels than pennies. How much money does the bank con

Arada [10]

5 pennies (5c)
9 nickels (45c)
21 dimes ($2.10)
15 quarters ($3.75)
We then all the totals together for how much money the bank has
$6.35

5 0

3 years ago