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Fudgin [204]
3 years ago
5

Give the function f(x) =2x^2+4x-7 find f(-4)? A -55 B -7 C 9 D 25

Mathematics
1 answer:
erma4kov [3.2K]3 years ago
4 0

Answer:

C

Step-by-step explanation:

To evaluate f??(- 4) substitute x = - 4 into f(x), that is

f(- 4) = 2(- 4)² + 4(- 4) - 7 = (2 × 16) - 16 - 7 = 32 - 23 = 9 → C

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What is the y-intercept of the function f(x)=2/9x+1/3
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Answer:

1/3

Step-by-step explanation:

The equation given to you is in y=mx+b form.

m is the slope which in this case would be 2/9.

b is the y-intercept which in this case would be 1/3

6 0
3 years ago
Read 2 more answers
Suppose that prior to conducting a coin-flipping experiment, we suspect that the coin is fair. How many times would we have to f
STALIN [3.7K]

Answer:  b) 84

Step-by-step explanation:

Let p be the prior estimate of the required proportion.

As per given , we have

p =0.5   (The probability of getting heads on a fair coin is 0.5)

Significance level : \alpha: 1-0.90=0.10\\

Critical z-value (using z-value table ) : z_{\alpha/2}=1.645

Confidence interval width : w= 0.18

Thus , the margin of error : E=\dfrac{w}{2}=0.09

Formula to find the sample size ( if prior estimate of proportion is known.):-

n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2

Substitute the values , we get

n=0.5(1-0.5)(\dfrac{1.645}{0.09})^2

Simplify ,

n=83.5192901235\approx84  [Round of to the next whole number.]

Hence, the number of times we would have to flip the coin =<u>84</u>

hence, the correct answer is b) 84

8 0
3 years ago
Lucy makes green paint by mixing yellow and blue paint in the ratio 5:2. Blue paint costs
ahrayia [7]

Answer:

No, she won’t make a profit

Step-by-step explanation:

Here, we are interested in determining if Lucy made a profit or a loss.

The cost of blue paint is 30 pounds for 5 liters. This means that a liter of blue paint is 30/5 = 6 pounds per liter

The cost of yellow paint is 28 pounds per 7 liters, the cost per liter is 28/7 = 4 pounds per liter

Now, in her mixing, she mixes 5 parts of yellow paint and 2 parts of blue paint.

This means that she mixed them the ratio as follows per liter;

For yellow, we have; 5/(5+2) = 5/7

For blue we have 2/(5+2) = 2/7

Now since a liter of yellow paint cost 4 pounds

5/7 of a liter will cost 5/7 * 4 = 20/7 pounds

For the blue paint, a liter cost 6 pounds, 2/7 of a liter will cost 2/7 * 6 = 12/7

The total cost in pounds in this;

20/7 + 12/7 = 32/7 = £4.57 pounds to 2 decimal place

Now she sells her green paint product at £4.5 per liter. Since this is less than the cost price of production which is £4.57, she is running at a loss

8 0
3 years ago
Nine years less than 5 times the age a
hichkok12 [17]
5a-9
I think this is the answer I am a little unsure of what the question is.
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3 years ago
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Divide 3 1/3 by 2/3 bbbbbbbb
iris [78.8K]

Answer:

jgjhi

Step-by-step explanation:

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