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
andriy [413]
2 years ago
12

Consider the parabola given by the equation: f(x) = 2x2 + 14.0 – 4

Mathematics
1 answer:
Softa [21]2 years ago
5 0

Answer:

Step-by-step explanation:

f(x)  = 2x² + 14x - 4

= 2(x² + 7x) - 4

= 2(x² +7x + 3.5²) - 2(3.5²) - 4

= 2(x+3.5)² - 28.5

vertex (3.5, -28.5) = (7/2, -57/2)

The vertical intercept is the y-intercept, i.e., f(0) = -4.

The x-intercepts are the values of x for which y=0.

2x² + 14x - 4  = 0

x = [-14±√(14²-4(2)(-4))]/[2(2)] = [-7±√57]/2 ≅ -7.27, 0.27

You might be interested in
- Halalna wrote lile
frosja888 [35]

Answer:

A quotient is the number we get when we divide one number by another.

for example

8 ÷ 4 = 2. In this case, the number 2 will be the quotient since it is the result we got when we divided 8 and 4.

I'm going to assume that "1,457 . 47 =" was meant to have a division sign, if that is the case then the answer is B 31.

6 0
1 year ago
if A and B are overlapping subset of a universal set U,write the relation between n(U), n(A U B) and (A U B) compliments​
Ilya [14]

Answer:

n(U) = n(AUB) + n(AUB)'

Step-by-step explanation:

The cardinality of the universal set will be to add the cardinalities of both the union of A and B i.e (A U B) and and the compliments of A and B i.e n(AUB)'

4 0
2 years ago
PLEASE HELP ASAPPPP!!!
deff fn [24]
With what if you uploaded someone it isn’t loading for me
8 0
3 years ago
A sphere has a diameter of 12 meters. What is its exact surface area and its exact volume?
Karo-lina-s [1.5K]

Answer:

The exact value of its surface area = 144π m²

The exact value of its volume = 288π m³

Step-by-step explanation:

∵ The diameter of the sphere is 12m

∴ The radius of the sphere = 12 ÷ 2 = 6m

∵ The surface area of the sphere = 4πr²

∴ The surface area = 4 × π × 6² = 144π m²

∵ The volume of the sphere = 4/3 πr³

∴ The volume = \frac{4}{3}\pi (6)^{3} = 288π m³

6 0
3 years ago
The cost of renting a bus for a field trip was split evenly among 20 students. At the last minute, 10 more students joined the t
dexar [7]

By solving a linear equation, we will see that the total cost for renting the bus is $90.

<h3>What was the total cost of renting the bus, in dollars?</h3>

Let's say that the total cost is C.

When there are 20 students, each student should pay:

p = C/20

When the other 10 students are added (for a total of 30) each student pays:

p' = C/30.

We know that the cost for each of the original 20 students decreased by $1.50, so:

p' = p - $1.50

Then we have 3 equations to work with:

p = C/20

p' = C/30.

p' = p - $1.50

Now we can replace the first and second equations into the third one:

C/30 = C/20 - $1.50

Now we can solve this linear equation for C:

C/20 - C/30 = $1.50

C*( 1/20 - 1/30) = $1.50

C*(30/600 - 20/600) = $1.50

C*(10/600) = $1.50

C*(1/60) = $1.50

C = 60*$1.50 = $90

So the total cost for renting the bus is $90.

If you want to learn more about linear equations:

brainly.com/question/1884491

#SPJ1

4 0
1 year ago
Other questions:
  • Is the converse of the following conditional true?<br> If b≤2, then b≥2.<br> yes<br> or<br> no
    7·2 answers
  • Sarah has a collection of nickels, dimes, and quarters worth $22.25. She has 10 more dimes than nickels and twice as many quarte
    12·1 answer
  • Can someone help me! Thanks :)
    7·1 answer
  • Which of the following equations is quadratic?
    12·1 answer
  • Is it possible to have a regular polygon with measure of each exterior angle as 22
    11·2 answers
  • CAN SOMEONE PLEASE PUT THIS IN SLOPE INTERCEPT FORM I NEED IT NOWW AND EXPLAIN<br><br> 2x-1y=-5
    10·2 answers
  • Diana has 18 apples more than Roberto. Together, Diana and Roberto's apples are 48. How many apples does each have?​
    7·1 answer
  • BRAINLIEST FOR THE CORRECT ANSWER! Algebra 1
    8·1 answer
  • Estimate the volume of a cube with side<br> lengths of 4.1 centimeters.
    14·1 answer
  • How much would it cost to buy x pounds of oranges? If oranges were 1.25$
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!