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ValentinkaMS [17]
3 years ago
9

What is the vertex and the axis of symmetry of the quadratic function graphed below?

Mathematics
2 answers:
Kazeer [188]3 years ago
8 0
The answer is B ! as vertex is (6,3) and axis of symmetry lies on x=6 !

if you need explanation, comment !
Ede4ka [16]3 years ago
8 0

Answer:  The correct option is

(B)  The vertex is (6, 3), and the axis of symmetry is x = 6.

Step-by-step explanation:  We are given to find the vertex and the axis of symmetry of the graphed quadratic equation.

From the graph, we see that the graphed quadratic function is a parabola, which open downwards and maximum point is (6, 3).

So, the vertex of the parabola is at (6, 3).

Now, the axis of symmetry will be a line passing through the vertex and parallel to the Y-axis.

That is, x = k.

Since the axis of symmetry passes through the vertex (6, 3), so we get

x = 6.

Thus, the vertex is (6, 3), and the axis of symmetry is x = 6.

Option (B) is CORRECT.

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The quick computing company discovered that it costs 45$ to produce 2 calculators, 143$ to produce 4 calculators,and 869$ to pro
telo118 [61]
<span>Using the points (2, 45) (4, 143) and (10, 869), we can plug them into the following system of 3 equations using the y = ax^2 + bx + c format:

45 = a(2)^2 + b(2) + c
143 = a(4)^2 + b(4) + c
869 = a(10)^2 + b(10) + c

which simplifies to:

45 = 4a + 2b + c
143 = 16a + 4b + c
869 = 100a + 10b + c

Solving the system, we get a = 9, b = -5, and c = 19. Thus the equation is:

c(x) = 9x^2 - 5x + 19

If you have a TI graphing calculator, you can also enter the points by pressing Stat -> Edit and enter (2, 45) (4, 143) and (10, 869) into it. Go back and calculate the QuadReg of the points from the Calc tab and it will give you the same answer.

Now that we know the function that will produce the price of production for any number of calculators, plug in x = 7 and it will give you the price to produce 7 calculators.

c(x) = 9x^2 - 5x + 19
==> c(7) = 9(7)^2 - 5(7) + 19
==> c(7) = 441 - 35 + 19
==> c(7) = 425

Therefore, it costs $425 to produce 7 calculators.

Hope this helps.

</span>
6 0
3 years ago
What is the volume of the oblique cylinder rounded to the nearest cm^3?
SVETLANKA909090 [29]

Answer: 32009355.90cm^3

Step-by-step explanation:

Formula: V=Bh\\

Since the base is a circumference, we can replace B for the area of a circumference formula.

V=\pi r^2h

What we have here is 12 ft as the diameter of the circumference. A diameter is twice the radius, therefore we can conclude that if we take the diameter and divide it by 2, it will give us the radius.

12/2=6ft this is the radius.

Now plug all this information into your formula.

V=(3.14)(6ft)^2(10ft)\\V=(3.14)(36ft^2)(10ft)\\V=1130.40ft^3

Our values are in feet but the question requires cm. Let's convert from ft^3 to cm^3.

Normally, our conversion factors are raised to the power of 1, but in this case it's raised to the power of 3. So, first let's see how many cm are 1 ft.

1ft=30.48cm

Here is where magic comes. We can raise both to the power of 3, in order to find the cubic ft and cm that we need as our conversion factors.

(1ft)^3=(30.48cm)^3\\1ft^3=28316.8cm^3

Now we have our conversion factors.

1130.40ft^3(\frac{28316.84cm^3}{1ft^3})=32009355.90cm^3

4 0
3 years ago
The Murphin Company has 2,342 employees and the Galdstock Company has 1,750 employees. How many fewer people work at the Galdsto
Karo-lina-s [1.5K]

Answer:

592

Step-by-step explanation:

This is a subtraction problem.

2,342 - 1,750 = 592

3 0
3 years ago
Data is a pieces of information true or false
Maru [420]

True because it is used to collect information on data tables and other things.



6 0
3 years ago
Is 49.20 greater than 49.22
Helen [10]
49.22 is greater than 49.20
6 0
2 years ago
Read 2 more answers
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