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Roman55 [17]
3 years ago
13

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

Mathematics
2 answers:
bonufazy [111]3 years ago
8 0

Answer:

Option a,d and e are true statements.  

Step-by-step explanation:

Given : Function f(x)=x^2-8x+5

To find : Which statements are true about the graph of the function, Check all that apply?

Solution :  

The quadratic function is in the form, y=ax^2+bx+c

The vertex form is y=a(x-h)^2+k

To find vertex form we apply completing the square,

f(x)=x^2-8x+5+4^2-4^2

f(x)=x^2-8x+(4)^2+5-16

f(x)=(x-4)^2-11

The vertex form of the function is f(x)=(x-4)^2-11

The 'a' statement is true.

The vertex of the function is (h,k).

On comparing with vertex form, h=4 and k=11

Vertex of the function is (4,11)

The 'b' statement is not true.

The x-coordinate of the vertex i.e. x=-\frac{b}{2a} is the axis of symmetry,

So, x=-\frac{-8}{2(1)}

x=4

The axis of symmetry is x=4.

The 'c' statement is not true.

The y-intercept of the function is at x=0

So, Put x=0 in the equation f(x)=x^2-8x+5

f(0)=0^2-8(0)+5

y=5

The y-intercept of the function is (0,5).

The 'd' statement is true.

To find the function crosses the x-axis twice refer the attached figure below.

Yes the function crosses the x-axis twice.

The 'e' statement is true.

gregori [183]3 years ago
4 0
D. The y-intercept of the function is (0, 5) and e. The function crosses the x-axis twice are true
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plz write your proper question

7 0
2 years ago
The no. Of adel beads to that of claire's beads was the ratio 7 :4 .When adel gave 68 beads to claire the ratio become 25 :41 .
Novosadov [1.4K]

Answer:

37 beads

Step-by-step explanation:

Given that:

Adel : Claire = 7 : 4

Let Adel be = A;  &

Let Claire be = C

A: C = 7 : 4

\dfrac{A}{C} =\dfrac{7}{4}

7C = 4A

C = \dfrac{4A}{7} --- (1)

When Adel gave 68 beads to claire, we have:

C + 68 = 25:41

\dfrac{A}{C+68}= \dfrac{25}{41}

25(C + 68) = 41A

C + 68 = \dfrac{41}{25}A

C = \dfrac{41}{25}A - 68 --- (2)

Equating (1) and (2) together;

\dfrac{4 * A}{7} = \dfrac{41 *A}{25} - 68

\dfrac{4 * A}{7}-\dfrac{41 *A}{25} =  - 68

\dfrac{100A - 287 A}{175} =- 68

\dfrac{-187A}{175} = -68

- 187 A = 175 × (-68)

-187 A = - 11900

A = - 11900/ -187

A ≅ 64

From; C = \dfrac{4A}{7}

C = \dfrac{4*64}{7}

C = 36.57

C ≅ 37 beads

4 0
3 years ago
A service attendant is paid time and a 1/2 for working over 40 hours per week last week. The attendant work 47 hours and earned
devlian [24]
Write and solve an equation:

Total earnings = $782.75 = s(40 hrs) + 1.5*s*(7 hrs)

Then 782.75 = 40s + 10.5s = 50.5s

Dividing both sides by 50.5:  s = 15.5.  The attendant's regular hourly wage was $15.50.
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Shawn found that a solution of x = 3 was extraneous for his function. What would be a possible denominator in Shawn's function?
Alex_Xolod [135]

Your answer is B. x2 -2x -3

Hope this helps!!

6 0
2 years ago
Read 2 more answers
A class of 30 is divided into 2 groups such that the size of the smaller group is 2/3 the size of the larger group. How large is
pogonyaev

Answer:

I kinda did a lil of this in my head so i might not be 100% correct, but i would say the bigger group is 20 and the smaller group is 10

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