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3 years ago

Which statement is true concerning the vertex and the axis of symmetry of g(x)=5x2−10x?

Mathematics

3 answers:

Brilliant_brown [7]3 years ago

6 0

Answer: The vertex is at (1, –5) and the axis of symmetry is y = 1.

Step-by-step explanation: graph, learning the formula, stating the equation of the axis of symmetry when we know the parabola's equation Explore how the graph and equation relate to the axis of symmetry , by using our interactive program below .

Zielflug [23.3K]3 years ago

3 0

Answer:

It is B according to my test on Edg

Ghostkie2 years ago

0 0

The function written in vertex form is g(x)=5(x−1)2−5. The vertex is at (1, –5) and the axis of symmetry is x=1.

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Which graph represents the function f(x) = |x|?

Brut [27]

Answer:

Step-by-step explanation:

the first one

3 0

3 years ago

Read 2 more answers

According to the National Center for Health Statistics, in 1990, 28% of babies in the United States were born to parents who w

svlad2 [7]

Answer:

The year is $b = 1995$

Step-by-step explanation:

From the question we are told that

The percentage of the number of babies born out of wedlock in 1990 is k = 28%

The percentage by which the number increase per year is i = 0.6%

The percentage of of the number of babies born out of wedlock considered is a = 31%

Generally the difference in between the percentage in 1990 and the percentage considered is

$d = a - k$

=> $d = 31 - 28$

=> $d = 3\%$

Generally the number of year require for the percentage to be equal to 31% is mathematically represented as

$n = \frac{3\%}{0.6\%}$

=> $n = 5\ years$

Generally the year which the considered percentage will be attained is

$b = 1990 + n$

=> $b = 1990 + 5$

=> $b = 1995$

6 0

3 years ago

What is the difference between the areas of a circular table with diameter 6 ft and a circular table with diameter 8 ft? Round y

MrMuchimi

If the diameter is given in a problem, area is computed as

A = (π/4) × D2 where π is equal to 3.14

If D (diameter) of one circular table is 6 ft its Area is 28 sq ft.

If D of another circular is 8 ft its Area is 50 sq ft.

The difference between the areas of the two tables is, therefore (50-28) or 22 sq. ft.

3 0

3 years ago

Noor brought 21 sheets of stickers. She gave 1/3 of a sheet to each of the 45 students at recess. She wants to give teachers 1 1

Tamiku [17]

Answer:

$\frac{3}{2}t+15\leq 21$

Step-by-step explanation:

Let t represent the number of teachers.

We have been given that Noor gave 1/3 of a sheet to each of the 45 students at recess.

Let us find the number of sheets given to students by Noor by multiplying the total number of students by the part of sheet given to each student.

$\text{Number of sheets given to 45 students}=45\times \frac{1}{3}$

$\text{Number of sheets given to 45 students}=15$

So, Noor gave 15 sheets to 45 students.

We have been given that Noor wants to give $1\frac{1}{2}=\frac{3}{2}$ sheet to each teachers, so the number of sheets given to t teachers will be $\frac{3}{2}t$ .

As Noor has bought 21 sheets, so the number of sheets given to students and t teachers will be less than or equal to 21.

We can represent this information in an inequality as:

$\frac{3}{2}t+15\leq 21$

Therefore, the inequality $\frac{3}{2}t+15\leq 21$ represents the number of teachers ,t, Noor could give sheets of stickers too.

6 0

3 years ago

Help please? even if someone gave me the steps to figure the answer myself, that'd be great

swat32

Answer:

The height is 28.57 cm.

The surface area is 9,628 cm^2.

Step-by-step explanation:

I assume the cooler is shaped like a rectangular prism with length and width of the base given, and with an unknown height.

volume = length * width * height

First, we convert the volume from liters to cubic centimeters.

60 liters * 1000 mL/L * 1 cm^3/mL = 60,000 cm^3

Now we substitute every dimension we have in the formula and solve for height, h.

60,000 cm^3 = 60 cm * 35 cm * h

60,000 cm^3 = 2,100 cm^2 * h

h = (60,000 cm^3)/(2,100 cm^2)

h = 28.57 cm

The height is 28.57 cm.

Now we calculate the internal surface area.

total surface area = area of the bases + area of the 4 sides

SA = 2 * 60 cm * 35 cm + (60 cm + 35 cm + 60 cm + 35 cm) * 28.57 cm

SA = 9,628 cm^2

The surface area is 9,628 cm^2.

8 0

3 years ago