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Verizon [17]
2 years ago
14

9. What is the vertex of the function? f(x) = 3x² - 8x + 10​

Mathematics
1 answer:
Delvig [45]2 years ago
7 0

Answer:

The vertex of the function is (1.333, 4.667)

Step-by-step explanation:

1. Calculate -b / 2a. This is the x-coordinate of the vertex.

2. simply plug -b / 2a into the equation for x and solve for y.

Y = 3x^{2}  - 8x + 10\\Compare with the form of   y = ax^{2} + bx + c\\So that means a = 3, b = -8, and c = 10.

Calculate -b/2a:

X = -(-8)/2(3)

X = 8/6

This is equal to 1.33 recurring

Plug 8/6 for x and solve for y:

Y = 3x^{2} - 8x + 10

Y = 3(\frac{8}{6})^{2} - 8(\frac{8}{6}) + 10

Y = \frac{48}{9} - \frac{64}{6} + 10\\

This is equal to 4.66 reccuring.

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I need help someone THIS IS DUE IN 10 MIN pls someone
olya-2409 [2.1K]

Answer:

34, 1.5, 9, 12, 3.6

Step-by-step explanation:

40.8/1.2=

1.8/1.2=

10.8/1.2=

14.4/1.2=

4.32/1.2=

4 0
2 years ago
Read 2 more answers
Clifford is making a really big white cake for his sisters birthday. The recipe calls for 1.5 times as much flour as sugar. It a
pantera1 [17]

<u>Answer:</u>

The amount of butter, sugar and flour does Clifford need is 2.5 cups flour, 3.75 cups sugar and 1.25 butter

<u>Explanation</u>:

Consider the number of cup of flour used to be x

According to question,

Recipe calls for 1.5 times as much flour as sugar

Sugar =1.5 \times Flour

Sugar = 1.5x

Butter = ½ x = 0.5x

According to question,  

Flour + Sugar + Butter = 7.5

x + 1.5x + 0.5x = 7.5

3x = 7.5

x = 2.5

Sugar = 1.5x = 1.5(2.5) = 3.75

Butter = 0.5(2.5) = 1.25

Clifford need is 2.5 cups flour, 3.75 cups sugar and 1.25 cups butter

3 0
3 years ago
Cos(2α)*sin(α-β)-cos(β-α)*sin(2α)
Hunter-Best [27]

Answer:

Step-by-step explanation:

cos (2α)*sin (α-β)-cos(β-α)*sin(2α)
cos (β-α)=cos {-(α-β)}=cos (α-β)

[cos (-x)=cos x]

sin(α-β)*cos (2α)-cos (α-β)*sin (2α)=sin (α-β-2α)=sin (-α-β)

=sin {-(α+β)}

=-sin (α+β)

6 0
2 years ago
The value of a $3000 computer decreases about 30% each year. write a function for the computers value V(t)
den301095 [7]

Answer:

Function for given situation is : V(t)=3000(0.70)^t

Value of computer after 4 years = $720.3.

Step-by-step explanation:

Given that the value of a $3000 computer decreases about 30% each year. Now we need to write a function for the computers value V(t). then we need to find about how much will the computer be worth in 4 years.

It clearly says that value decreases so that means function represents decay.

For decay we use formula:

A=P(1-r)^t

where P=initial value = $3000,

r= rate of decrease =30% = 0.30

t= number of years

A=V(t) = future value

so the required function is V(t)=3000(1-0.30)^t

or V(t)=3000(0.70)^t

Now plug t=4 years to get the value of computer after 4 years.

V(4)=3000(0.70)^4

V(4)=720.3

Hence final answer is $720.3.

7 0
2 years ago
Read 2 more answers
I NEED HELP PLEASE !!!!
Sergio [31]

Answer:

Step-by-step explanation:

2x + 3.5x + 15 = -1.5

5.5x + 15 = -1.5

5.5x = -16.5

x = -3

y = 3.5(-3) + 15

   = -10.5 + 15

    = 4.5

(-3, 4.5)

7 0
3 years ago
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