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xeze [42]
3 years ago
9

Show steps if you can please!!

Mathematics
1 answer:
valina [46]3 years ago
7 0

Step-by-step explanation:

1.) Begin by converting 2 yards into feet.

There are 6 feet in two yards, and 3 feet in one.

2.) Now that we have converted that, we can compare each length better.

3.) Take 6 feet and divide it by 10.80. You will get 0.55, or 55 cents.

4.) Now, take 12 feet and divide it by 24.60. You will get 0.48, or 48 cents.

5.) When you divide these numbers, you are seeing how many cents per foot of twine.

6.) Now, compare .55 and .48, or subtract the two. That will be 7 cents, or 0.07.

The difference is 7 cents, and 12 feet of twine for $24.60 is the better deal, as it costs less for more.

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Let f(x) be a func. satisfying f(-x)=f(x) for all real x.if f"(x) exist, find its value.
OverLord2011 [107]

Answer:

f''(x)=f''(-x)

Step-by-step explanation:

A function satisfying the equation f(x)=f(-x) is said to be an even function. This denomination comes from the fact that the same relation is satisfied for functions of the form x^{n} with n even. Observe that if f is twice differentiable we can derivate using the chaing rule as follows:

f(x)=f(-x) implies f'(x)=f'(-x)\cdot (-1)=-f'(-x)

Applying the chain rule again we have:

f'(x)=-f'(-x) implies f''(x)=-f''(-x)\cdot (-1)=f''(-x)

So we have that function f''(x) is also an even function.

4 0
4 years ago
PLZ HELP ME ITS 30 POINTS PLZ HELP ME ITS 30 POINTS
pentagon [3]

I cant really see that- could you tell me what that is?

5 0
3 years ago
Read 2 more answers
A rectangular deck is 12 ft by 14 ft. When the length and width are increased by the same amount, the area becomes 288 sq . By h
julia-pushkina [17]
Well to get the area of 288 the dimensions would be a couple of things but 16 ft by 18 ft seems to work, so the dimensions increase by 4 ft on each side.

12+4=16
14+4=18

18*16=288
6 0
3 years ago
Read 2 more answers
Factor the expression 3x^(2)+10x+8
marin [14]

Hello,

If we want to factor the expression, we have to solve

3x² + 10x + 8 = 0

a = 3 ; b = 10 ; c = 8

∆ = b² - 4ac = 10² - 4 × 3 × 8 = 4 > 0

x1 = (-b - √∆)/2a = (-10 - 2)/6 = -12/6 = -2

x2 = (-b + √∆)/2a = (-10 + 2)/6 = -8/6 = -4/3

Factor :

a (x - x1)(x - x2)

= 3(x + 2)(x + 4/3)

= (x + 2)(3x + 4)

8 0
2 years ago
The SAT mathematics scores in the state of Florida for this year are approximately normally distributed with a mean of 500 and a
Greeley [361]
<u></u><u>The correct answer is 47.5%, or 0.475.</u>

Explanation:
The empirical rule states that in any normal distribution:

68% of data will fall within 1 standard deviation of the mean;
95% of data will fall within 2 standard deviations of the mean; and
99.7% of data will fall within 3 standard deviations of the mean.

The mean is 500 and the standard deviation is 100.  This means that 700 is 2 standard deviations away from the mean:

(700-500)/100=200/100=2.

We know that 95% of data will fall within 2 standard deviations from the mean.  However, included in the 95% is data less than the mean and greater than the mean.  Since we are only concerned with the scores from 500 to 700, we only want the half that is greater than the mean:

95/2 = 47.5%, or 0.475.
8 0
3 years ago
Read 2 more answers
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