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3 years ago

If f(x) = |-3x - 61 - 10, find f(5)

Mathematics

1 answer:

german3 years ago

3 0

Answer:

f(5)= -85

Step-by-step explanation:

f(x)= 1-3x-61-10

now,

f(5)= 1-3×5-61-10

=1-15-71

=--85

hope u want this..

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Chef Selena is making her special dish that requires pasta, sauce, and onions. She has 5 1/8 pounds of pasta, 6 pounds of sauce,

arlik [135]

Answer:

$\text{Total Weight of Food Made}, x=5\frac{1}{8}+6+4\frac{7}{8}\\\text{Number of Servings}, y=x \div \frac{1}{2}$

Step-by-step explanation:

The Weight of Ingredients to be used by Chef Selena are:

$5\frac{1}{8}$ pounds of pasta,
6 pounds of sauce; and
$4\frac{7}{8}$ pounds of onions.

Total Weight of Food Made, x

$=5\frac{1}{8}+6+4\frac{7}{8}\\=5+6+4+\frac{1}{8}+\frac{7}{8}\\=16 \: Pounds$

Since each serving is $\frac{1}{2} Pounds$

Number of Servings of her dish, y

$16 \div \frac{1}{2}\\ =32 \: Servings$

The two equations needed to solve the problem are therefore:

$\text{Total Weight of Food Made}, x=5\frac{1}{8}+6+4\frac{7}{8}\\\text{Number of Servings}, y=x \div \frac{1}{2}$

4 0

3 years ago

HELP!! 25 POINTS!! don’t mind this sentence ansjjsjsjsjdjejejejekekekekekdjd

Vesna [10]

points: (1, 4), (2, 8), (3, 12), and (4, 16)

Step-by-step explanation:

just follow the table and plot the points

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3 years ago

Please Answer ASAP ! Which point lies on the circle represented by the equation x2 + (y − 12)2 = 252?

Ivahew [28]

Answer:

Point (20 , -3) lies on the circle ⇒ (A)

Step-by-step explanation:

The point which lies on the circle must satisfy the equation of the circle

The equation of the circle is x² + (y - 12)² = 25²

<em>Take the left hand side and substitute x and y by the coordinates of each point the answer must equal the right hand side</em>

<em />

A. (20 , -3)

∵ x = 20

∵ y = -3

∴ (20)² + (-3 - 12)² = 400 + (-15)² = 400 + 225 = 625

∵ The right hand side is 25²

∵ 25² = 625

∴ The left hand side = The right hand side

∴ Point (20 , -3) satisfy the equation of the circle

∴ Point (20 , -3) lies on the circle

B. (-7 , 24)

∵ x = -7

∵ y = 24

∴ (-7)² + (24 - 12)² = 49 + (12)² = 49 + 144 = 193

∵ The right hand side is 25² = 625

∴ Point (-7 , 24) does not lie on the circle

C. (0 , 13)

∵ x = 0

∵ y = 13

∴ (0)² + (13 - 12)² = 0 + (1)² = 0 + 1 = 1

∵ The right hand side is 25² = 625

∴ Point (0 , 13) does not lie on the circle

D. (-25 , -13)

∵ x = -25

∵ y = -13

∴ (-25)² + (-13 - 12)² = 625 + (-25)² = 625 + 625 = 1250

∵ The right hand side is 25² = 625

∴ Point (-25 , -13) does not lie on the circle

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3 years ago

You borrow $2000 from the bank at 1% annual interest compounded monthly. The monthly payment is $100. What is the balance after

Blizzard [7]

Answer:

$2.52

Step-by-step explanation:

If you start with the balance being $2000, the monthly payment is $100 with the percentage rate being 1%. You would way 0.84 per month and if you multiply that by three months, you get $2.52.

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3 years ago

A simple random sample of 100 batteries is selected from a process that produces batteries with a mean lifetime of 32 hours and

Brrunno [24]

Answer:

.b. It is one‐half as large as when n = 100.

Step-by-step explanation:

Given that a simple random sample of 100 batteries is selected from a process that produces batteries with a mean lifetime of 32 hours and a standard deviation of 3 hours.

i.e. s = 0.3

we obtain se of sample by dividing std devitation by the square root of sample size

i.e. s= $\frac{3}{\sqrt{n} }$

when n =100 this = 0.3 and

when n =400 this equals 0.15

We find that when sample size is four times as large as original, std deviation becomes 1/2 of the original

Correction option is

.b. It is one‐half as large as when n = 100.

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4 years ago