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Gwar [14]
2 years ago
12

The function f (x) has an average rate of change on the interval -2 < x < 3 of 3.4. If f (-2) = 9 then which of the follow

ing is the value of f (3)?
Mathematics
1 answer:
ad-work [718]2 years ago
3 0

Answer:

The value of f(3)=12.4

Step-by-step explanation:

Average rate of change = 3.4

Interval: -2 < x < 3

f(-2) = 9

We need to find f(3)

The formula used to calculate Average rate of change is: Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}

here we have a=-2 and b=3

Now finding f(3)

Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}\\3.4=\frac{f(3)-f(-2)}{3-2} \\3.4=\frac{f(3)-9}{1}\\3.4=f(3)-9\\f(3)=3.4+9\\f(3)=12.4

So, The value of f(3)=12.4

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What equation represents a circle whose center is located at (-6,2) and whose radius is 10 units?
Anna [14]
One of the equations for a circle is (x - h)² + (y - k)² = r² where (h, k) are the center and r is the radius.
So after substitution:
(x + 6)² + (y - 2)² = 100

Notice the equation has the opposite of h and k and 100 is the result of squaring 10.
3 0
3 years ago
You split $1500 between two savings accounts one pays 4%interest and the other pays 5% after one year you have earned $69.50 in
ANTONII [103]

Answer:

Step-by-step explanation:

Use the basic simple interest formula:

P * r * t = I and put the info into a table with those variables along the top, formig the columns we need:

                   P       *       r       *       t      =       I

Acct 1

Acct 2

If we have a total of 1500 to split up between 2 accounts, we put x amount of money into one and then have 1500-x left to put into the other.  We will fill those in along with the interest rates in decimal form and the time of 1 year:

                   P        *        r        *        t        =        I

Acct 1           x               .04                1

Acct 2     1500-x          .05                 1

Looking at the formula we are told that Prt = I, so we will multiply P times r times t and fill in the I column:

                  P        *        r        *        t        -        I

Acct 1         x                 .04              1               .04x

Acct 2    1500-x           .05               1          .05(1500-x)

The total Interest earned by the addition of the interest earned from both accounts is 69.50.  So we add the interest column together and set it equal to 69.50:

.04x + .05(1500 - x) = 69.50 and

.04x + 75 - .05x = 69.50 and

-.01x = -5.5 so

x = 550

That's how much money is in the account earning 4% interest.

7 0
3 years ago
Which statement is not true? a.All nunbers are natural numbers.b.Fractions are rational numbers.c.Zero is an integer.
DiKsa [7]
I believe that b.Fractions are rational numbers is not true

sorry if its wrong
6 0
3 years ago
Read 2 more answers
Plz help me I really need help
swat32

Answer:

it 2 parts away

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
A study of 420,076 cell phone users found that 131 of them developed cancer of the brain or nervous system. Prior to this study
Keith_Richards [23]

Answer:

a) 95% Confidence interval = (0.026%, 0.037%) to 3 d.p

b) The result of the 95% confidence interval does not agree with the previous rate of such cancer because the value 0.0224% does not lie within this confidence interval obtained.

Step-by-step explanation:

Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample proportion) ± (Margin of error)

Sample proportion = (131/420076) = 0.0003118483 = 0.0312%

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error)

Critical value at 95% confidence interval for sample size of 420,076 is obtained from the z-tables because the sample size is large enough for the properties of the sample to approximate the population properties.

Critical value = 1.960 (from the z-tables)

Standard error = σₓ = √[p(1-p)/n]

n = sample size = 420,076

σₓ = √(0.0003118×0.999688/420076) = 0.0000272421 = 0.0000272

95% Confidence Interval = (Sample proportion) ± [(Critical value) × (standard Error)]

CI = 0.000312 ± (1.96 × 0.0000272)

CI = 0.000312 ± 0.0000534

95% CI = (0.0002586055, 0.0003653945)

95% Confidence interval = (0.000259, 0.000365)

95% Confidence interval = (0.0259%, 0.0365%) = (0.026%, 0.037%) to 3 d.p

b) The result of the 95% confidence interval does not agree with the previous rate of such cancer because the value 0.0224% does not lie within this confidence interval obtained.

Hope this Helps!!!

7 0
3 years ago
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