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
melisa1 [442]
3 years ago
10

Please help me if you know how to do this!

Mathematics
1 answer:
lukranit [14]3 years ago
5 0

Question 21

Let's complete the square

y = 3x^2 + 6x + 5

y-5 = 3x^2 + 6x

y - 5 = 3(x^2 + 2x)

y - 5 = 3(x^2 + 2x + 1 - 1)

y - 5 = 3(x^2+2x+1) - 3

y - 5 = 3(x+1)^2 - 3

y = 3(x+1)^2 - 3 + 5

y = 3(x+1)^2 + 2

Answer: Choice D

============================================

Question 22

Through trial and error you should find that choice D is the answer

Basically you plug in each of the given answer choices and see which results in a true statement.

For instance, with choice A we have

y < -4(x+1)^2 - 3

-7 < -4(0+1)^2 - 3

-7 < -7

which is false, so we eliminate choice A

Choice D is the answer because

y < -4(x+1)^2 - 3

-9 < -4(-2+1)^2 - 3

-9 < -7

which is true since -9 is to the left of -7 on the number line.

============================================

Question 25

Answer: Choice B

Explanation:

The quantity (x-4)^2 is always positive regardless of what you pick for x. This is because we are squaring the (x-4). Squaring a negative leads to a positive. Eg: (-4)^2 = 16

Adding on a positive to (x-4)^2 makes the result even more positive. Therefore (x-4)^2 + 1 > 0 is true for any real number x.

Visually this means all solutions of y > (x-4)^2 + 1 reside in quadrants 1 and 2, which are above the x axis.

You might be interested in
At a local department store, jeans are typically priced at $15. Due to a special, the jeans are reduced to 80% of their original
vodomira [7]

Answer:the price of jeans now is $12

Step-by-step explanation:

Let x represent the current price of the jeans. At the local department store, jeans are typically priced at $15. It means that the original price of the jeans is $15 .

Due to a special, the jeans are reduced to 80% of their original price. This means that the original price was reduced by 20%. Therefore, the current price, x would be

x = 15 - (20/100 × 15) = 15 - 3

x = $12

6 0
3 years ago
Expand &amp; simplify 4(t+2)+6(t-4)
kondaur [170]

Answer:

10t - 16

Step-by-step explanation:

4(t + 2)+ 6(t - 4)

4t + 8 + 6t -24

10t - 16

8 0
3 years ago
Read 2 more answers
The sum of three numbers is 54. The third number is 6 more than the first. The second number is 2 times the third. What are the
77julia77 [94]

Answer:

9, 30, and 15.

Step-by-step explanation:

Let the three numbers be a, b, and c.

The sum of them is 54. So:

a+b+c=54

The third number is 6 more than the first. In other words, c=a+6.

The second number is twice the third. In other words, b=2c.

Let’s write the second number in terms of a. Since b=2c, this means that b=2(a+6).

Let’s substitute them into our equation. So:

a+2(a+6)+(a+6)=54

Solve for a. Distribute:

a+2a+12+a+6=54

Combine like terms:

4a+18=54

Subtract 18 from both sides:

4a=36

Hence, the value of a is:

a=9

So, the first number is 9.

The third number is 6 more than the first, so the third number is 15.

The second number is twice the third. So, the second number is 30.

Therefore, our numbers are:

9, 30, and 15.

3 0
2 years ago
In Michigan, the snowfall was recorded at 4.5 inches in 3 hours. At what unit rate, in inches per hour, did the snow fall?
nadya68 [22]

Answer: 1.5 inches/hour

Step-by-step explanation:

4.5/3=

5 0
3 years ago
Read 2 more answers
ANSWER ASAPPPP PLEASE BEING TIMEDDDDDDD
eimsori [14]
The second answer is the correct answer
4 0
3 years ago
Other questions:
  • Solve the equation. Enter your answer in the box.<br><br> x=27−−√3<br> x=???<br> HELP ASAP
    11·2 answers
  • A student council president wants to learn about the preferred theme for the upcoming spring dance. Which of the following sampl
    13·2 answers
  • The length of a rectangular garden is 8 feet longer than its width. If the garden's perimeter is 188 feet, what is the area of t
    7·1 answer
  • Sin 90 +cos 50 -tan1​
    9·1 answer
  • Pls help will mark brainliest
    5·1 answer
  • An Olympic-sized swimming pool of uniform depth measures 50 meters by 21 meters. The bottom of the pool is to be treated with a
    15·1 answer
  • If m&lt;1 = (7x - 19)°, and m&lt;2 = (x + 5)º, find m&lt;2.​
    10·1 answer
  • Find the area of the figure.<br> 6 in.<br> 6 in.<br> 8 in.<br> 4 in.
    8·1 answer
  • Can someone please help me
    12·2 answers
  • Pls help answer<br> i dont not need explaination <br> :)
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!