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
kipiarov [429]
3 years ago
14

Which of the following coordinates of points belong to the solution set of the inequality y <2x² +3x - 5?

Mathematics
1 answer:
bogdanovich [222]3 years ago
6 0

Answer:

<h3>A , D</h3>

Step-by-step explanation:

Check the inequality for each point.

For A. (-3,2)

y <  {2x}^{2}  + 3x - 5 \\ 2  <  {2 ( - 3)}^{2}  + 3( - 3) - 5 \\ 2 < 2 \times 9 - 9 - 5 \\ 2 < 18 - 9 - 5 \\ 2 < 4 \\

The inequality is satisfied.

For B. (-2,9)

y <  {2x}^{2}  + 3x - 5 \\ 9 < 2 {( - 2)}^{2}  + 3( - 2) - 5 \\ 9 < 2(4) - 6 - 5 \\ 9 < 8 - 6 - 5 \\ 9 <  - 3 \\

The inequality is not satisfied.

For C. (1,6)

y <  {2x}^{2}  + 3x - 5 \\ 6 <  {2(1)}^{2}  + 3(1) - 5 \\ 6 < 2(1) + 3 - 5 \\ 6 < 2 + 3 - 5 \\ 6 < 0

The inequality is not satisfied.

For D. (3,1)

y <  {2x}^{2}  + 3x - 5 \\ 1 <  {2(3)}^{2}  + 3(3) - 5 \\ 1 < 2(9) + 9 - 5 \\ 1 < 18 + 9 - 5 \\ 1 < 22 \\

The inequality is satisfied.

For E. (-1,5)

y <  {2x}^{2}  + 3x - 5 \\ 5 <  {2( - 1)}^{2}  + 3( - 1) - 5 \\ 5 < 2(1) - 3 - 5 \\ 5 < 2 - 3 - 5 \\ 5 <  - 6 \\

The inequality is not satisfied.

You might be interested in
Find the value of x for the given value of y.<br> y = x/4 -7; y = 2
babymother [125]

Answer:36

Step-by-step explanation:

2=x/4-7

9=x/4

36=x

7 0
2 years ago
Read 2 more answers
Select the correct answer. Which statement best defines the term principal? A. It is an arrangement in which you buy now and pay
Hatshy [7]

Answer:

<u>The correct answer is C.  It is the original amount of money the bank loans the borrower.</u>

Step-by-step explanation:

Let's recall that are five basic elements for calculating the payment of a loan:

1. The principal. How much money you borrow.

2. The interest rate. How much money you will pay in addition to the principal.

3. The period of time. How long will it takes you to pay the loan.

4. The frequency of payment. Will you pay every month?, every quarter?, every year or maybe every two weeks?

5. Additional payments. When you have additional income seasonally and you want to lower either the period of time or the interests to pay.

4 0
3 years ago
I need to solve this system of equations, how do I do that?<br> 3x-4y=20<br> y=3/4x-5
Paha777 [63]

Answer:

Is is Infinitely many solutions so 0=0

<em><u>Step-by-step explanation:</u></em>

<h3>First we have to rearrange/simplify the equations:</h3>

Equation 1: 4y - 3x = -20

Equation (2):  y - 3x/4  = -5

<h3>Then you remove the fractions by multiplication: </h3>

Multiply equation (2) by 4

<h3>The Equations now look like this: </h3>

Equation 1: 4y - 3x = -20

Equation (2): 4y - 3x = -20

<h3>Solve for y on Equation (2):</h3>

y = <u><em>3x/4 - 5</em></u>

<h3>Then plug in this for the y in Equation 1 and then solve:</h3>

4•(<u><em>3x/4-5</em></u>) - 3x = -20

Therefore the answer leads to:

Infinitely many solutions, 0=0

Hope this helped :')

4 0
3 years ago
98 pointssssssssssssssssssssssssssssssssssssssssssssssss
frez [133]

7. \frac{1}{127}

8. a^{5}b^{6}c^{4}

9.a^{2} b^{2} c^{3}

10. \frac{1}{x^{3} }

4 0
3 years ago
Read 2 more answers
A runner was timed at 4 miles per hour. how many feet per minute did they run?​
kherson [118]

Answer:

352

Step-by-step explanation:

because miles are 5,280 steps so 5,280 multiplied by 4 as in miles is 21,120 so that divided by 60 as in a minute it will be 352

8 0
3 years ago
Read 2 more answers
Other questions:
  • 5. Given beverage sales of $5,400 and cost of beverages sold of $900.00, the beverage cost
    13·2 answers
  • I don't understand this at all soo ;-;​
    10·2 answers
  • Find the area and circumference of the figure below.
    12·1 answer
  • The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is
    6·1 answer
  • Which of the following statements about f(x)=(x-4)^2-1 are true? select all that apply
    10·2 answers
  • Which line is parallel to the line y = 5/2x - 9
    7·1 answer
  • Find the value of a if the line joining the points (3a,4) and (a,-3) has a gradient of 1
    6·1 answer
  • Write a multipication equation that represents the question: how many 3/8 can go in 5/4. need an answer plzzzz
    14·2 answers
  • The probability distribution for a random variable x is given in the table.
    5·1 answer
  • The graph shows the side view of a water slide
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!