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3 years ago

11

what are the values of the coefficient and constant term of 0 = 4 - 7 x^2 + x in standard form? a= b= c=

1 answer:

ryzh [129]3 years ago

3 0

Step-by-step explanation:

0 = 4 - 7 x^2 + x

0= (-7)x^2 + (1)x + 4

a= -7

b = 1

c= 4

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Sam needs a web designer. Designer A is offering her services for an initial $500 in addition to $100 per hour. Designer B is of

gavmur [86]

Answer:

2 hours

Step-by-step explanation:

Let's denote the amount of time we need to find out, t.

=> 600 + 50t < 500 + 100t

or 600 - 500 < 100t - 50t

or 100 < 50t

or 100/50 < t

or t > 2

=> After 2 hours, company B will be cheaper option than company A

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2 years ago

a pastry recipe calls for 3 cups of flour to make 8 serving .how many cups of flour are needed to make 6 serving

ser-zykov [4K]

If you would like to know how many cups of flour are needed to make 6 servings, you can calculate this using the following steps:

3 cups of flour ... 8 servings
x cups of flour = ? ... 6 servings

3 * 6 = 8 * x
18 = 8 * x /8
x = 18/8
x = 9/4
x = 2 1/4 cups of flour

The correct result would be 2 1/4 cups of flour.

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3 years ago

Suppose that two openings on an appellate court bench are to be filled from current municipal court judges. The municipal court

Ksju [112]

Answer:

$(a)\dfrac{92}{117}$

$(b)\dfrac{8}{39}$

$(c)\dfrac{25}{117}$

Step-by-step explanation:

Number of Men, n(M)=24

Number of Women, n(W)=3

Total Sample, n(S)=24+3=27

Since you cannot appoint the same person twice, the probabilities are <u>without replacement.</u>

(a)Probability that both appointees are men.

$P(MM)=\dfrac{24}{27}X \dfrac{23}{26}=\dfrac{552}{702}\\=\dfrac{92}{117}$

(b)Probability that one man and one woman are appointed.

To find the probability that one man and one woman are appointed, this could happen in two ways.

A man is appointed first and a woman is appointed next.
A woman is appointed first and a man is appointed next.

P(One man and one woman are appointed) $=P(MW)+P(WM)$

$=(\dfrac{24}{27}X \dfrac{3}{26})+(\dfrac{3}{27}X \dfrac{24}{26})\\=\dfrac{72}{702}+\dfrac{72}{702}\\=\dfrac{144}{702}\\=\dfrac{8}{39}$

(c)Probability that at least one woman is appointed.

The probability that at least one woman is appointed can occur in three ways.

A man is appointed first and a woman is appointed next.
A woman is appointed first and a man is appointed next.
Two women are appointed

P(at least one woman is appointed) $=P(MW)+P(WM)+P(WW)$

$P(WW)=\dfrac{3}{27}X \dfrac{2}{26}=\dfrac{6}{702}$

In Part B, $P(MW)+P(WM)=\frac{8}{39}$

Therefore:

$P(MW)+P(WM)+P(WW)=\dfrac{8}{39}+\dfrac{6}{702}\\$P(at least one woman is appointed)=\dfrac{25}{117}$

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2 years ago

The sum of negative eighteen and a number is eleven. What is the number?

Oksanka [162]

Answer:

29

Step-by-step explanation:

-18 (Negative Eighteen) = A

29 (Positive Twenty Nine) = B

11 (Positive Eleven) = C

First, make A positive, and add C to it. You get B.

Now here is the equation:

-18 + (18 + 11)

-18 + (29)

11

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3 years ago

What is the image of the point (-3,-6) on rotation of 90 degrees about the origin ?

SOVA2 [1]

Answer:

(- 6, 3 )

Step-by-step explanation:

Under a rotation about the origin of 90°

a point (x, y ) → (y, - x ), thus

(- 3, - 6 ) → (- 6, 3 )

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3 years ago