the domain of the function f(x) = 3x3 is {2, 5}. what is the function’s range? the range of the function f(x) = 3x3 when its domain is {2, 5} is

Answers

Answer 1
Answer:

Answer:

{24,375}

Step-by-step explanation:

Answer 2
Answer: The range would be 24,250 hope this helps

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The side length of an equilateral triangle is 6 cm. What is the height of the triangle?

Answers

the way m comfortable solving this is using pythagorean therem.

the imaginery hight line you draw in the middle of the triangle should split the 6cm base in half to 3cm and the outside of the tryangle is 6cm.
pythagorian theorem formula states:
c^2 =a^2 +b^2

c=6cm
b = 3cm
a=?
6^2 =3^2+a^2
36=9+a^2
36-9=a^2
a^2 =27

square root 27 to find a
=5
The answer is 5 cm.
Hope this helps!! xx

A hybrid car can travel 40 miles per gallon. Approximately how many gallons of fuel will the car need to travel 20 km?A. 0.3
B(wrong. already eliminated that off) 0.8
C. 2.5
D. 3.2

Answers

Answer:

its 0.3

Ye i solved this a different way

so in order to see how many 20km of gas is needed, we first need to see how many miles thats worth.

1 mile = 1.6km

1.6 goes into 20, 12.5 times

12. 5 is our magic number. Now we take 12.5 and divide it by 40 and not the other way around.

now we're left with 0.3

voila it"s done, hope this simplifies this s bit, have a nice day

Step-by-step explanation:

so converting miles to km, you get 1mile=1.6km. 20km=12.5miles

if 1 gallon gets you 40 miles, then x gallons will get you 12.5 miles., Solve for x, x=12.5/40=0.3125. 

Answer should be A

What is the area of this figure.

Answers

Answer: 95cm^2

Step-by-step explanation:

Make smaller shapes then add all the areas up together at the end.

6*4 = 24cm^2

3*2 = 6cm^2

For the base of the triangle:

10+3 = 13cm^2

Area of a triangle = (b*h)/2

(13*10)/2 = 65cm^2

65cm^2 + 13cm^2 + 24cm^2 = 95cm^2

Jacob’s age is two years more than the sum of the ages of his siblings Becky and Micah. Which equation represents Jacob’s age? A. z = x + y − 2; x represents Micah's age, y represents Becky's age, and z represents Jacob's age B. x = y + z + 2; x represents Jacob's age, y represents Micah's age, and z represents Becky's age C. x = 2 + y + z; x represents Becky's age, y represents Jacob's age, and z represents Micah's age D. y = x + z − 2; x represents Jacob's age, y represents Becky's age, and z represents Micah's age

Answers

The equation that represents Jacob's age is  x = y + z + 2

From the question, the following information was provided :

Jacob's age is two years more than the sum of the ages of his siblings Becky and Micah.

This above information can be represented with the equation below

Jacob = 2 + ( Becky + Micah) (equation 1)

If :

x represents Jacob's age

y represents Micah's age

z represents Becky's age

Equation 1, can be rewritten as x = y + z + 2

Micah's age can be determined by making Micah the subject of the formula in the above equation

Micah = Jacob - Becky - 2   (equation 2)

If :

x represents Micah's age

y represents Becky's age

z represents Jacob's age

Micah's age can be rewritten as :

x = z - y - 2

Becky's age  age can be determined by making Becky the subject of the formula in the first equation.

Becky = Jacob - Micah - 2 (equation 3)

If:

x represents Becky's age

y represents Jacob's age

z represents Micah's age

Equation 3 can be rewritten as :

x = y - z - 2

Check here for a related question : brainly.com/question/21843246?referrer=searchResults

Using a system of equations, it is found that the correct equation is given by:

x = y + z + 2, which is option B.

---------------

  • Jacob's age is given by x.
  • Becky's age is given by y.
  • Micah's age is given by z.
  • Considering that Jacob's is 2 years older than Becky's and Micah's combined, which is of y + z, his age is represented by the following equation:

x = y + z + 2

Which is given by option B.

A similar problem is given at brainly.com/question/24233433

Four classmates were asked to decorate one fifth of the bulletin board in a classroom. They divided the section to be decorated equally among 4 classmates. What fraction of the entire bulletin board did each classmate decorate

Answers

(1/5) x (1/4) = 1/20
each classmate decorated 1/20th of the entire board

Answer:120

Step-by-step explanation: 1/5 x 1/4 = 120.

The standard form of the equation of a parabola is y = 5x2 + 20x + 14. What is the vertex form of the equation?

A. y = 5(x + 2)2 + 10
B. y = 5(x + 2)2 - 6
C. y = 5(x + 4)2 - 6
D. y = 5(x + 4)2 + 10

Answers

The vertex form of quadratic equation is expressed as:

y = a (x - h)² + k

We manipulate the given equation to be the same as the vertex form. First we transpose the constants to the left-hand side.

y - 14 = 5x² + 20x

Then, we factor out in right hand side the coefficient of the x² term.

y- 14 = 5 (x² + 4x)

We divide the coefficient of the x term with 2 and take its square. We add this value to both sides of the equation but we should remember that in the left-hand side we should multiply this value with five to keep it balanced.

y - 14 + 20 = 5 (x² + 4x +4)

We simplify the right-hand side as:

y + 6 = 5 (x + 2)²

We can now manipulate further the equation above in the vertex form. Thus,

y= 5 [ x- (-2)]² - 6

Answer:

y = 5(x+2)^2 - 6

Step-by-step explanation: