1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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.

You might be interested in
There is triangle one of the angles is 101 degrees and the other is 38 workout x
Wittaler [7]

Angle sum property = Sum of the three angles of a triangle will be equal to 180° .

Using this let us find out the measure of x .

Measure of first angle = 101°

Measure of second angle = 38°

Measure of third angle = x

101 + 38 + x = 180

139 + x = 180

x = 180 - 139

= x = 41

∴ \: the \: value \: of \: x \:  = 41°

8 0
3 years ago
Pls help with this question
andre [41]

Answer:

x<56

Step-by-step explanation:

Since the dot over 56 isn't filled in, the inequality doesn't include 56 (so we'll use < or > not \leq or \geq)

Now, let's look at the direction of the shading: is it going to the left of 56 or to the right?

This shading is to the left of 56, which indicates that it's all of the numbers less than 56.

As said above, the inequality doesn't include 56

therefore, it will be x<56 (x is less than 56, and 56 is not included)

hope this helps!

3 0
3 years ago
Read 2 more answers
Use the diagram below to answer the questions.<br> -17h<br> 119°<br> с<br> G<br> Find m_PCT
pshichka [43]

Answer:

119°

Step-by-step explanation:

It’s 119.  You don’t need to solve for h.

7 0
2 years ago
WILL GIVE MEDAL!! A flight of stairs is supported by two columns as shown. What is the distance from the base of the stairs to t
scoray [572]
There are two triangles: a small one to the left and a big one, which includes the small one. They both have a common angle (the leftmost angle) and since (we can assume) the two columns meet the floor at right angles, they both have two equal angles. This means they are similar (AAA).

Let the distance of the base of the stairs to the tallest column be d.

Because matching sides of similar triangles are in the same ratio,
4 / 6 = d / (6 + 12)
4 / 6 = d / 18
(4 * 18) / 6 = d
d = 12

The answer is C
6 0
3 years ago
Read 2 more answers
The points (-16,r) and (-4,11)lie on a line with slope 1/2. Find the missing coordinate r?
Sergio [31]

Answer: The missing coordinate R is 5.

Step-by-step explanation:

11=1/2(-4) + B

11=-2 +B  

B= 13

B represents the y-intercept

so we will use the equation y=mx + B  and we know the slope and y intercept.

r= 1/2(-16) + 13

r= 5

3 0
3 years ago
Other questions:
  • Oliva ties 2.5 feet of ribbon on to 1 balloon how many yards of ribbon dose olivia need for 18 balloons
    9·1 answer
  • Help. I don't understand what I'm supposed to do.
    12·2 answers
  • Developed nations make up about percent of the world s population and consume about percent of its resources.
    8·1 answer
  • Lenore’s dog gave birth to a litter of 9 puppies. Two of the puppies are male. Write ratios for the following: Number of female
    13·2 answers
  • 1. The right section of a prism is in the form of a regular hexagon whose apothem measures 5 cm. If the lateral area is 360cm2,
    7·1 answer
  • Choice leads for developing new business opportunities are randomly assigned to 50 employees who make up the sales team. Half of
    9·1 answer
  • Upon studying low bids for shipping contracts, a microcomputer manufacturing company finds that intrastate contracts have low bi
    12·1 answer
  • Can someone please help me :(((((((
    15·2 answers
  • A store is selling scooter for $40. You have a coupon and person for $15. What percent was the coupon? 20 points!! ​
    7·1 answer
  • A hemisphere-shaped bowl with radius 1 foot is filled full with chocolate. All of the chocolate is then evenly distributed betwe
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!