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3 years ago

-6d - (c - d)^2 ; if c = 7 and d = 4

Mathematics

1 answer:

irina1246 [14]3 years ago

7 0

Answer:

-6d - (c - d)^2 = -33

Step-by-step explanation:

-6(4) - (3)^2 =

-24 - 9 =

-33

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The table shows the cost of renting ski equipment at a ski lodge. Write a linear function f for the sequence. Then graph the fun

Bingel [31]

Answer:

y=5x+7

or

f(x)=5x+7

Step-by-step explanation:

Slope (m) = 5

Y-intercept (b) = 7

Using the equation y=mx+b, you can find m and b to make y=5x+7.

Steps:

(1, 12) (2, 17) formula: y2-y1 / x2-x1 = m

17-12= 5

2-1 = 1

5/1=5

m=5

12=5(1)+b

12=5+b

7=b

17=5(2)+b

17=10+b

7=b

Answer: y=5x+7

or

f(x)=5x+7

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2 years ago

Find y when x = 14, if y = -3 when x = 6.

ladessa [460]

Answer:

y=5

Step-by-step explanation:

6-(-3)=9

so...

14-9=5

7 0

2 years ago

How much difference do a couple of weeks make for birth weight? Late-preterm babies are born with 34 to 36 completed weeks of ge

stiks02 [169]

Answer:

a) 0.3277

b) 0.0128

Step-by-step explanation:

We are given the following information in the question:

N(2750, 560).

Mean, μ = 2750

Standard Deviation, σ = 560

We are given that the distribution of distribution of birth weights is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P (less than 2500 grams)

P(x < 2500)

$P( x < 2500) = P( z < \displaystyle\frac{2500 - 2750}{560}) = P(z < -0.4464)$

Calculation the value from standard normal z table, we have,

$P(x < 2500) = P(z < -0.4464) = 0.3277 = 32.77\%$

b) P ((less than 1500 grams)

P(x < 1500)

$P( x < 1500) = P( z < \displaystyle\frac{1500 - 2750}{560}) = P(z < -2.2321)$

Calculation the value from standard normal z table, we have,

$P(x < 1500) = P(z < -2.2321) = 0.0128 = 1.28\%$

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2 years ago

In the exponential growth function y = 235(1.15)^x, what is the

sweet-ann [11.9K]

Answer: Growth factor will be 0.15 and percent increase will be 15%.

Step-by-step explanation:

Since we have given that

the exponential growth function

$y=235(1.15)^x$

1) We need to find the growth factor :

As we know the formula for "Compound Interest ":

$A=P(1+\frac{r}{100})^x$

If we compare the formula with our given equation, we get

$1+\frac{r}{100}=1.15\\\\\frac{r}{100}=1.15-1\\\\\frac{r}{100}=0.15\\\\r=0.15\times 100\\\\r=15$

So, the growth factor is at the rate of 0.15.

2) Percent increase will be

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Hence, growth factor will be 0.15 and percent increase will be 15%.

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3 years ago

In plane ABC the measure of angle A equals 42° the measure of angle B is five times the measure of angle C find the measure of a

krok68 [10]

Step-by-step explanation:

I think what is meant in the triangle ABC we have the three angles.

the sum of all angles in a triangle is airways 180 degrees.

so,

180 = A + B + C

180 = 42 + B + C

now, we know also that

B = 5×C

so, we can use that above

180 = 42 + 5×C + C

138 = 6×C

C = 138/6 = 23 degrees

B = 5×C = 5×23 = 115 degrees

7 0

2 years ago