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

A.(-3,2)
B.(-2,9)
C.(1,6)
D.(3,1)
E. (-1.5)​

Answers

Answer 1

Answer:

A , D

Step-by-step explanation:

Check the inequality for each point.

For A. (-3,2)

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

The inequality is satisfied.

For B. (-2,9)

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

The inequality is not satisfied.

For C. (1,6)

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

The inequality is not satisfied.

For D. (3,1)

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

The inequality is satisfied.

For E. (-1,5)

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

The inequality is not satisfied.


Related Questions

How do you evaluate -98 - 13

Answers

Evaluations can only be done with algebraic equations

Answer:

-111

Step-by-step explanation:

Subtract 13 from -98  

Supposed the length of a rectangle is three times the width and the area is 300 ft.² then what is the width of the rectangle in feet

Answers

Step-by-step explanation:

the area is

A = length × width.

length = 3 × width

=>

A = 3 × width × width = 3 × width²

300 = 3 × width²

100 = width²

width = 10 ft

Plz help me fast urgent thank you :) 20 points

Answers

Answer:

C

Step-by-step explanation:

2 times 7 is 14 highest dollar per hour rate

Answer:

Point C

Step-by-step explanation:

In order to determine the price point that will provide the most revenue, you could multiply the price per taco by its corresponding quantity demanded:

A) $3.00 × 2 tacos demanded = $6

B) $2.50 × 4 tacos demanded = $10

C) $2.00 × 7 tacos demanded = $14

D) $1.50  × 8 tacos demanded = $12

E) $1.00  × 12 tacos demanded = $12

Of all the given values, it turns out that at Point C, where price per taco is $2, and the quantity demanded for that price is 7, provides the most return for Rocco's.

Therefore, the price point that providees the most return is $2.

PLEASE HELP ITS MATH THANK YOUUUU

Answers

5 hours

7.3/2 = 18.25/?

Cross multiply

18.25*2 = 7.3*?
36.5 = 7.3*?

Divide both sides by 7.3

36.5/7.3 = ? (Because 7.3/7.3 is 1 you’re just left with ?)

36.5/7.3 = 5

So 5 hours

I need the answer ASAP

Answers

Answer:

It would be 120 inches squared.

Step-by-step explanation:

12 x 8 = 96

6 x 4 = 24 / 2 = 12

12 x 2 = 24

96 + 24 = 120 inches squared

Answer: 80 in 2 cm

Step-by-step explanation: so if you add you can find it but add you answer you get 2 times and round to the nearest ten and you have your answer.

Select yes or no for each literal equation.

Answers

Answer:

No, Yes, Yes

Step-by-step explanation:

[tex]5x + 2y = 3[/tex]

2y = 3 - 5x

y = (3-5x) / 2

FALSE

[tex] \frac{w + 8}{2} = p[/tex]

2P = w + 8

w = 2P - 8

TRUE

[tex]ax + by = c[/tex]

by = c - ax

y = (c - ax) / b

TRUE

If f(x) is a linear function, what is the value of n?
Х
-4
f(x)
1-25
-10
-1
n
20
2
4
9

Answers

Answer:

The value of n is 5.

Step-by-step explanation:

We have been given that f(x) is a linear function and we are asked to find the value of n from the provided table.

x            f(x)

-4          -25

-1            -10

n             20

First of all we will find the slope of the given using our given points (-4,-25) and (-1,-10) in slope formula.

m = y2-y1/x2-x1

Upon substituting coordinates of our given points we will get,

m = -10--25/-1--4

m = -10+25/-1+4

m = 15/3

m = 5

Since we know that the equation of a line in slope-intercept form is:

y = mx + b,where, m= Slope and b= y-intercept.

Upon substituting m = 5 in slope-intercept form of equation we will get,

y = 5x + b

Now let us find y-intercept by substituting coordinates of one point in our given line.

-10 = 5(-1) + b

-10 = -5 + b

-10 + 5 = -5 + 5 + b

-5 = b

y = 5x - 5

Now let us find value of n by substituting x = n and y = 20 in our equation.

20 = 5 * n - 5

20 + 5 = 5 * n - 5 + 5

25 = 5 * n

25/5 = 5 * n/5

5 = n

Therefore, the value of n is 5.

Triangle KLM is similar to triangle NOP. Find the measure of side PN. Figures are not
drawn to scale.

Answers

Answer:

look at the photo............

A farmer wants to enclose a rectangular field of 15,000 ft^2. It’s width is 470 ft less than its length. What are the dimensions of the field.

Answers

Given that the area of the rectangular field is 15,000 sq. ft and it's width is 470 ft less than the length of the of the field, the dimensions of the field would be:

Length = 500 ftWidth = 30 ft

Recall:

Area of rectangle: A = length x width

Given:

Area of rectangular field = 15,000 sq. ftlength = lwidth = l - 470

Required:

Dimensions of the field (the length and the width).

Thus, using the area formula, the equation below is derived:

[tex](l)(l - 470) = 15,000[/tex]

Solve for l

[tex]l^2 - 470l = 15,000\\\\l^2 - 470l - 15,000 = 0\\\\[/tex]

Factorize

[tex](l + 30)(l - 500) = 0\\\\[/tex]

[tex]l = -30 $ or $ l = 500[/tex]

We will go with the positive value, which is 500.

Therefore, the length of the rectangular field is 500 ft.

Width = l - 470

Plug in the value of l

Width = 500 - 470

Width = 30 ft

Therefore, given that the area of the rectangular field is 15,000 sq. ft and it's width is 470 ft less than the length of the of the field, the dimensions of the field would be:

Length = 500 ftWidth = 30 ft

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There are 3 feet in 1 yard This is equivalent to 12 feet in 4 yards which proportion can be used to represent this?
oft

Answers

Answer:

3/1 or 12/4

Step-by-step explanation:

This is the case because all you are doing is converting it into a fraction.

. 3 feet to 1 yard- 3/1

.12 feet to 4 yards- 4/12

Maya, Greg, and Austin sent a total of 81 text messages during the weekend. Austin sent 2 times as many messages as Maya. Greg sent 9 more messages than Maya. How many messages did they each send?

Answers

Maya=18 Greg =27
Austin =36

Select the correct answer.
What is the equation of the line that has a slope of 1 and passes through the point (1,5)?
Y - 1 = (x + 5)y - 1 = (x + 5)
y - 5 = (x - 1)y - 5 = (x - 1)
y + 1 = (20 – 5)y + 1 = (x - 5)
y + 5 = (x + 1)y + 5 = (1 + 1)

Please I need answer ASAP!! I’ll make you brainliest!!

Answers

Answer:b

Step-by-step explanation:

1. Scale 1 cm = 250 km
25
Using the scale above, calculate to find how
many km are in the following map distances:
a.) 2 cm =
km
b.) 5 cm
km
c.) 3 cm=
km

Answers

Answer:

a= 500km b= 1,250 c= 750

Step-by-step explanation:

a= 250x2=500km

b= 250x5=1,250km

c= 250x3=750km

4
Calculate the area of the shaded region. Round to the nearest tenth, as needed.
59
1.3 m 1.7 m

Answers

Answer:

0.9m²

Step-by-step explanation:

Find the area of the larger circle, the radius is 0.85m because the diameter is double this - 1.7m:

a = πr² = π × (0.85)² = 289/400π

Find the area of the smaller circle, the radius is 0.65 because the diameter is double this - 1.3m:

a = πr² = π × (0.65)² = 169/400π

Subtract the two area:

289/400π - 169/400π = 120/400π = 3/10π or 0.942477.. ≈ 0.9m²

A sequence is defined recursively by

a1=4

an=34an−1

What is the explicit form of this sequence?

Answers

9514 1404 393

Answer:

  an = 4×34^(n-1)

Step-by-step explanation:

If your recursive definition is ...

  [tex]\begin{cases}a_1=4\\a_{n}=34a_{n-1}\end{cases}[/tex]

this defines a geometric sequence with a first term a1 = 4 and a common ratio of r = 34. The general form of the explicit function is ...

  [tex]a_n=a_1\times r^{n-1}[/tex]

For the values shown here, the explicit definition of the sequence is ...

  [tex]\boxed{a_n=4\times 34^{n-1}}[/tex]

On Mrs. Sean's desk,
there are pink and yellow
markers. The ratio of pink
markers to total markers
is 1:3. If there are 16
yellow markers, then how
many markershare pink?

Answers

Since the ratio of pink markers to total markers is 1:3, then there are 8 pink markers.

Number of yellow markers given = 16

Based on the information given, therefore, the pink markers will be half of the yellow markers. This will be:

= 1/2 × 16

= 8 markers

Therefore, the total markers will be:

= 8 + 16 = 24

In conclusion, pink markers will be 8/24 = 1/3. Therefore, the number of pink markers is 8.

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Solve for x.



5x−2(x+1)=1/4 ​



Enter your answer as a fraction in simplest form in the box.

x =

Answers

Answer:

x=3/4

Step-by-step explanation:

Answer:

X= 3/4

Step-by-step explanation:

Distribute

Combine like terms

Add 2 to both sides of the equation

Simplify

Divide both side s of the equation by the same turm

Simplify

What is the solution to the following equation? Please help!

Answers

Answer :

D

Step By Step Explanation :

The last number is 110

Answers

Answer:

70°

Step-by-step explanation:

90 + 20 + x = 180

110 + x = 180

x = 180 - 110

x = 70°

Answer:

60 degrees

Step-by-step explanation:

The angles are 30 and 90 degrees ( i think it was 30 degrees it wasn't a clear picture. )

A triangle it 180 degrees in total.

SO if we add 30 and 90

30 + 90 = 120

We'll get 120.

We then suptract 120 from 180

180 - 120 = 60

So the degree of x will be 60 degrees.

120 + 60 = 180

choose all numbers that round to 30,000 when rounded to the nearest ten thousand
a. 28,5602
b. 20,347
c. 27,563
d. 22,547

Answers

Answer:

A & C

Step-by-step explanation:

find c. 2cm 15 degrees 105 degrees C= [?]cm

Answers

Answer:

the answer is 122cm

Step-by-step explanation:

105cm+15cm+2cm=122cm

Simplify each expression.
(a^2b^-3/a^-2b^2)2

Answers

Answer: a^8/b^10

Step-by-step explanation:in the picture

help for brainliest also 30 points

Answers

[tex]\\ \sf\longmapsto 4(x+7)=6x-28[/tex](Corresponding angles are equal)

[tex]\\ \sf\longmapsto 4x+28=6x-28[/tex]

[tex]\\ \sf\longmapsto 6x-4x=56[/tex]

[tex]\\ \sf\longmapsto 2x=56[/tex]

[tex]\\ \sf\longmapsto x=28[/tex]

How many distinct lines of symmetry does the image have?
The image has rotational symmetry after rotating every

Answers

Answer:

1) 6 lines of symmetry

2) 360 ÷ 6 = 60°

Our material handlers make $15 per hour, and it takes them about 15 minutes to complete this process. How much is our handling cost?​

Answers

Answer: $3.75

Step-by-step explanation: $15x15=225/60= 3.75

Our material handling cost is $3.75.

What is cost?

A cost function is a mathematical formula used to used to chart how production expenses will change at different output levels.

How to find the cost per process?

Material handlers make $15 per hour

If it takes them about 15 minutes to complete this process then process in an hour is 60/15 =4

The cost per process is 15/4 =3.75.

Learn more about cost here- brainly.com/question/25233348

#SPJ2

The weight of two fish tighter is 16 kg. If one fish weight is 10.5 kg, find the ratio of
the weight of the smaller fish to that of the bigger fish.

Answers

here you go this is the answer

Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.


Second-degree, with zeros of −4 and 6, and goes to −∞ as x→−∞.


p(x) =

Answers

9514 1404 393

Answer:

  p(x) = -x^2 +2x +24

Step-by-step explanation:

When the polynomial has a zero at x=q, it has a factor of (x -q). The zeros of -4 and 6 tell you the factors are (x -(-4)) and (x -6). The end behavior tells you the leading coefficient is negative.

  p(x) = -(x +4)(x -6)

  p(x) = -x^2 +2x +24

When a truck full of boxes arrives at the Silvergrove Post Office, Miguel unloads the truck by placing the boxes
on a conveyor belt. Miguel's coworkers are impressed with how fast Miguel does his job. Miguel can unload 10
boxes in 5 minutes. How long does it take him to unload 40 boxes?

Answers

Answer:

20 minutes

Step-by-step explanation:

If Miguel can unload 10 boxes in 5 minutes, that means that he loads 2 boxes per minute. Assuming he he has a constant unloading speed, it would take him 20 minutes to unload all 40 boxes.

I found this by dividing 40 (boxes) by 2 (min per box)

Caleb wants to rent a kayak. Kayak rentals cost $70.58  for a half hour. If Caleb rents a kayak for 5.0 hours, how much will it cost him?

Answers

Answer:[tex]{ \times 2 + \times - 20} \div { \times - 4[/tex]

Step-by-step explanation:

divide each of the following: using the two methods

If you deposit $16,000 per year for 12 years (each deposit is made at the end of each year) in an account that pays an annual interest rate of 14%, what will your account be worth at the end of 12 years?

Answers

Answer:

A = 16000(1+0.14)^12 = 77086.4777

Answer:

12 22 23 24 25 26 2u 28 ug6fyd

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