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jenyasd209 [6]
3 years ago
15

According to the Rational Root Theorem, which of the following values is a possible rational root of the polynomial p(x)=x2+3x+1

2?
A. 24
B. -1/2
C. -2
D. 1/6
E. 1/2
Mathematics
1 answer:
slava [35]3 years ago
8 0

Answer:

C. -2

Step-by-step explanation:

Since the leading coefficient is 1 and rational roots are of the form ...

±(divisor of the constant)/(divisor of the leading coefficient)

all of the possible rational roots must be whole number diviors of 12. The only one on the list is -2.

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Use the elimination method to solve the system of equations.
ExtremeBDS [4]

Answer:

Option D. (8, – 4)

Step-by-step explanation:

3x + 4y = 8 ..... (1)

x – y = 12.... (2)

To solve the above equation by elimination method, do the following:

Step 1:

Multiply equation 1 by the coefficient of x in equation 2 i.e 1.

Multiply equation 2 by the coefficient of x in equation 1 i.e 3. This is illustrated below:

1 × Equation 1

1 × (3x + 4y = 8)

3x + 4y = 8 ...... (3)

3 × Equation 2

3 × ( x – y = 12)

3x – 3y = 36......(4)

Step 2:

Subtract equation 3 from equation 4. This is illustrated below:

. 3x – 3y = 36

– (3x + 4y = 8)

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

– 7y = 28

Divide both side by the coefficient of y i.e –7

y = 28/–7

y = – 4

Step 3:

Substitute the value of y into any of the equation to obtain the value of x. In this case, we shall substitute the value of y into equation 2 as shown below:

x – y = 12

y = –4

x – (–4) = 12

x + 4 = 12

x = 12 – 4

x = 8

Therefore, the solution to the equation above is (8, – 4)

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One solution is the y intercept (0,1/2)
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The ratio of lambs to chickens is 3:1 respectively. If
netineya [11]

Answer:

24

Step-by-step explanation:

Ratio of lambs to chickens is 3:1

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1u=8

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Based on past experience, a telemarketing firm has found that calls to prospective customers take an average of 2.0 minutes, wit
xenn [34]

Answer: Our required probability would be 0.9641.

Step-by-step explanation:

Since we have given that

Number of hours he works a day = 8

So, Number of minutes he worked in a day = 8\times 60=480\ minutes

Number of calls = 220

So, Average =\bar{x}=\dfrac{480}{220}=2.18\ minutes

Standard deviation =s=\dfrac{\sigma}{\sqrt{n}}=\dfrac{1.5}{\sqrt{220}}=0.10

Mean = μ = 2.0 minutes

Standard deviation = σ = 1.5 minutes

Using the normal distribution, we get that

z=\dfrac{\bar{x}-\mu}{s}\\\\z=\dfrac{2.18-2.0}{0.10}\\\\z=1.8

So, the probability that Albert will meet or exceed his quota would be

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What is the measure of _RVE?
marysya [2.9K]

Answer:

D. 45

Step-by-step explanation:

<u>All angles</u><u> </u><u>h</u><u>a</u><u>v</u><u>e</u><u> </u><u>t</u><u>o</u><u> = 180°</u>

60 + 75 + <RVE = 180°

135 + RVE = 180°

180 - 135 = <u>4</u><u>5</u><u>°</u><u> </u><u>R</u><u>V</u><u>E</u>

<u>R</u><u>V</u><u>E</u><u> </u><u>=</u><u> </u><u>4</u><u>5</u><u>°</u>

<u>A</u><u>n</u><u>o</u><u>t</u><u>h</u><u>e</u><u>r</u><u> </u><u>w</u><u>a</u><u>y</u><u> </u><u>t</u><u>o</u><u> </u><u>c</u><u>h</u><u>e</u><u>c</u><u>k</u><u> </u><u>y</u><u>o</u><u>u</u><u>r</u><u> </u><u>a</u><u>n</u><u>s</u><u>w</u><u>e</u><u>r</u><u>:</u>

Add all of the angles, and it should equal 180°

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Correct!

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