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Lilit [14]
2 years ago
11

Question 3 of 10 If f(x) = 3x – 12, what is f(2)? A. –6 B. 6 C. 18 D. –18

Mathematics
1 answer:
Mrrafil [7]2 years ago
7 0

Answer:

Your answer is D

Step-by-step explanation:

f(2) This means that x is 2, so you can plug in 2 for "x" in the equation

f(x) = 3x - 12

f(2) = 3(2) - 12

f(2) = 6 - 12

f(2) = -6

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A line passes through point A (14,21). A second point on the line has an x-value that is 125% of the x-value of point A and a y-
seropon [69]

Answer:

The equation of the line in point-slope form is y-21 = - \frac{3}{2}\cdot (x-14).

Step-by-step explanation:

According to the statement, let A(x,y) = (14,21) and B(x,y) = (1.25\cdot x_{A},0.75\cdot y_{A}). The equation of the line in point-slope form is defined by the following formula:

y-y_{A} = m\cdot (x-x_{A}) (1)

Where:

x_{A}, y_{A} - Coordinates of the point A, dimensionless.

m - Slope, dimensionless.

x - Independent variable, dimensionless.

y - Dependent variable, dimensionless.

In addition, the slope of the line is defined by:

m = \frac{y_{B}-y_{A}}{x_{B}-x_{A}} (2)

If we know that x_{A} = 14 and y_{A} = 21, then the equation of the line in point-slope form is:

x_{B} = 1.25\cdot (14)

x_{B} = 17.5

y_{B} = 0.75\cdot (21)

y_{B} = 15.75

From (2):

m = \frac{15.75-21}{17.5-14}

m = -\frac{3}{2}

By (1):

y-21 = - \frac{3}{2}\cdot (x-14)

The equation of the line in point-slope form is y-21 = - \frac{3}{2}\cdot (x-14).

5 0
3 years ago
Can someone please help me with this???
tino4ka555 [31]

Answer:

1 cm

Step-by-step explanation:

To solve this problem we can use the Pythagorean theorem. In fact the diagonal of a rectangle is an hypotenuse of a right triangle, while the length is a leg. The width is the other leg

width = √2^2 - (√3)^2 = √4 - 3 = √1 = 1 cm

8 0
2 years ago
Julie is a math tutor. She charges each student $210 for the first 7 hours of tutoring and $20 for each additional hour.
Maksim231197 [3]
She spent 17 hours tutoring

$210 = 7 hours

$20 x 10 hours = $200

$210 + $200 = $410
7 Hours + 10 Hours = 17 Hours

8 0
3 years ago
Read 2 more answers
The radius of the base of a sugar cone is 1.5 inches and the cone is 8 inches tall.
g100num [7]

Answer:

about 18.85 cubic inches of ice cream can fit inside the cone

Step-by-step explanation:

To understand this, you will need to know the formula for a cone's volume which is

πr^2 times h/3

h being the height of the cone

to clarify the equation is pi (3.14) times the radius squared (which means you put it to the power of 2) and you multiply it by the height divided by 3.

Step by step:

π(1.5)^2 times 8/3

put it in a calculator and solve

round according to the problem

hope it helps

3 0
3 years ago
A. The solution is (−2,−3)
Cerrena [4.2K]

9514 1404 393

Answer:

  D.  (-3, -2)

Step-by-step explanation:

The equations have different coefficients for x and y, so will have one solution. The solutions offered are easily tested in either equation.

Using (x, y) = (-2, -3):

  x = y -1  ⇒  -2 = -3 -1 . . . . False

Using (x, y) = (-3, -2):

  x = y -1  ⇒  -3 = -2 -1 . . . .True

  2x = 3y  ⇒  2(-3) = 3(-2) . . . . True

The solution is (-3, -2).

__

If you'd like to solve the set of equations, substitution for x works nicely.

  2(y -1) = 3y

  2y -2 = 3y . . eliminate parentheses

  -2 = y . . . . . . subtract 2y

  x = -2 -1 = -3

The solution is (x, y) = (-3, -2).

5 0
2 years ago
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