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
zzz [600]
2 years ago
14

Consider the quadratic function: y = 2x^2 + 7x + 10

Mathematics
1 answer:
arsen [322]2 years ago
7 0

Answer:

y-intercept: 10

concavity: function opens up

min/max: min

Step-by-step explanation:

1.) The definition of a y-intercept is what the resulting value of a function is when x is equal to 0.

Therefore, if the function's equation is given, to find y-intercept simply plug in 0 for the x-values:

y = 2x^2+7x+10 = 2(0)^2 + 7(0)+10 = 2(0) + 0 + 10 = 0 + 10 = 10

y intercept ( f(0) )= 10

2.) In order to find concavity (whether a function opens up or down) of a quadratic function, you can simply find the sign associated with the x^2 value. Since 2x^2 is positive, the concavity is positive. This is basically possible, since it is identifying any reflections affecting the y-values / horizontal reflections.

3.) In order to find whether a quadratic function has a maximum or minimum, you can use the concavity of the function. The idea is that if the function opens downwards, the vertex would be at the very top, resulting in a maximum. If a function was open upwards, the vertex would be at the very bottom, meaning there is a minimum. Like the concavity, if the value associated with x^2 is positive, there is a minimum. If it is negative, there is a maximum. Since 2x^2 is positive, the function has a minimum.

You might be interested in
Trevor has two fraction models, each divided into equal-sized sections. The
erma4kov [3.2K]

Answer:

I will answer in a general way because the options are not given.

We know that the area of model A is smaller than the area of model B.

For model A, we have 72 shaded sections, out of 100.

Then the quotient of model A is:

72/100 = 0.72

For model B we have 10 sections, and x shaded ones.

Because model B is greater than model A, we know that:

x/10 should be larger than 72/100

then we have the inequality:

x/10 > 0.72

x > 0.72*10

x > 7.2

And we can not have more than 10 shaded sections (because there is a total of 10 sections) then:

10 ≥ x > 7.2

Then x can be any whole number in that interval.

the possible values of x are:

x = 8

x = 9

x = 10

5 0
2 years ago
How can you use a number line to find the sum of —4 and 6?
rjkz [21]
Start at -4 and go to the right 6 times on the number line and you should end up with 2
5 0
2 years ago
A regular hexagon is shown below. Find the value of x.<br> (11x + 21)°
noname [10]

Answer:

x=9

Step-by-step explanation:

The expression is for the interior angle of the hexagon; one interior angle is equal to .

Since an interior angle of a hexagon measures 120°, we have the equality

.

Now it is just a matter of solving for  

11x=120-21

11x=99

x=99/11

x=9

4 0
2 years ago
Write the numeral 0.0284 × 10^4 in scientific notation. A. 28.4 × 101 B. 0.284 × 103 C. 2.84 × 102 D. 284
Thepotemich [5.8K]

Answer:

2.84×10²

Step-by-step explanation:

0.0284×10⁴

Move the decimal point 4 places to the right.

284

Now write in scientific notation by moving the decimal point 2 places to the left, behind the 2.

2.84×10²

7 0
2 years ago
A company makes 6 black cars for every 4 red cars if the company makes 48 red cars how many black cars did they make?
Masja [62]

48/4=12

12*6=72 black cars


6 0
3 years ago
Read 2 more answers
Other questions:
  • Please answer this for me correctly I am new to brain.ly and thanks! :)
    13·2 answers
  • The area of a parallelogram is a equals BH where B is the base and H is the height of the parallelogram what is the area of a pa
    11·2 answers
  • a granola recipe calls for 2 and 1/3 cups of almonds a bag of almonds contains 2 cups to make 2 1/2 batches of granola, Ali buys
    10·1 answer
  • Isthe number a fact of 6? Write yes or no.
    9·1 answer
  • I need this answer ?
    11·1 answer
  • Generate equivalent expressions and simplify the following expression
    14·1 answer
  • Find the product of (5ab)(2ab)
    13·2 answers
  • !!!Please help will give the brainliest, and please do not put in a silly answer because you want some points or I will report y
    15·1 answer
  • Which expressions have exactly two factors? Choose ALL that apply.
    11·1 answer
  • Please help me with this
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!