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zimovet [89]
3 years ago
10

Can someone help me with this I’m very confused

Mathematics
1 answer:
shepuryov [24]3 years ago
5 0

Answer:

is this a question meant to evaluate you, such as a test, exam, quiz, or assessment?

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Which statements are true about the graph of the function f(x) = x2 – 8x + 5? Check all that apply.
statuscvo [17]

Answer:

A, D, E are true

Step-by-step explanation:

You have to complete the square to prove A.  Do this by first setting the function equal to 0, then moving the 5 to the other side.

x^2-8x=-5

Now we can complete the square.  Take half the linear term, square it, and add it to both sides.  Our linear term is 8 (from the -8x).  Half of 8 is 4, and 4 squared is 16.  So we add 16 to both sides.

(x^2-8x+16)=-5+16

We will do the addition on the right, no big deal.  On the left, however, what we have done in the process of completing the square is to create a perfect square binomial, which gives us the h coordinate of the vertex.  We will rewrite with that perfect square on the left and the addition done on the right,

(x-4)^2=11

Now we will move the 11 back over, which gives us the k coordinate of the vertex.

(x-4)^2-11=y

From this you can see that A is correct.

Also we can see that the vertex of this parabola is (4, -11), which is why B is NOT correct.

The axis of symmetry is also found in the h value.  This is, by definition, a positive x-squared parabola (opens upwards), so its axis of symmetry will be an "x = " equation.  In the case of this type of parabola, that "x = " will always be equal to the h value.  So the axis of symmetry is

x = 4, which is why C is NOT correct, either.

We can find the y-intercept of the function by going back to the standard form of the parabola (NOT the vertex form we found by completing the square) and sub in a 0 for x.  When we do that, and then solve for y, we find that when x = 0, y = 5.  So the y-intercept is (0, 5).

From this you can see that D is also correct.

To determine if the parabola has real solutions (meaning it will go through the x-axis twice), you can plug it into the quadratic formula to find these values of x.  I just plugged the formula into my graphing calculator and graphed it to see that it did, indeed, go through the x-axis twice.  Just so you know, the values of x where the function go through are (.6833752, 0) and (7.3166248, 0).  That's why you need the quadratic formula to find these values.

7 0
3 years ago
Can someone please solve 7???
cestrela7 [59]

Answer:

A

Step-by-step explanation:

Sum the parts of the ratio, 5 + 3 = 8 parts

Divide the total area by 8 to find the value of one part of the ratio.

1624 ÷ 8 = 203 cm² ← value of 1 part of ratio, thus

Area of B = 3 × 203 = 609 cm² → A

3 0
3 years ago
Read 2 more answers
Find the value of from the following right triangle.<br><br>plzzz help i will mark you as brainliest
NikAS [45]

Answer:

12

Step-by-step explanation:

by Pythagoras theorem,

P²+B² =H²

5²+B²=13²

B²= 13²-5²

B²= 169-25

B²= 144

B=√144

B= 12

8 0
3 years ago
If the equation below is solved by graphing, which statement is true?
adelina 88 [10]

Answer:

.46

Step-by-step explanation:

If you graph the function, you can see where the two logs intersects. View the image I have attached.

5 0
3 years ago
Read 2 more answers
Fill in the blank to make each equality true. x/(1/2x^3)=16x^6 y^4
inn [45]

Answer:

ur in rsm too? i have the same question sorry -_-

Step-by-step explanation:

7 0
3 years ago
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