Determine whether or not each of the following points is a solution of the inequality y 2x2 + 3x -5.
1. B (1,8)
2.C (-5,10)
3. D (3,6)
4. E (-3,4)
5. F (2,9)​

Answers

Answer 1

Answer:

E(-3,4) and F(2,9)

Step-by-step explanation:

If we plug in for x to see what we get for y:

(1,8):

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

y = 2 + 3 - 5

y = 0

This is wrong.

(-5,10):

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

y = 50 - 15 - 5

y = 30

This is wrong.

(3,6):

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

y = 18 + 9 - 5

y = 22

This is wrong.

(-3, 4):

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

y = 18 - 9 - 5

y = 3

This is correct!

Lets check the last one...:

(2,9):

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

y = 8 + 6 - 5

y = 9

This is also correct!

So your right answers are:

E and F!

Hope this helps! :D


Related Questions

Use elimination to solve the system of equations,
5x - 6y = 11
-7x + 5y = 5

Answers

Answer:

x = -5

y = -6

Step-by-step explanation:

5x - 6y = 11

-7x + 5y = 5

We could eliminate the 'y' by multiplying the first equation by 5 and the second equation by 6 to get the following:

5(5x - 6y) = 11(5)     → 25x - 30 y = 55

6(-7x + 5y) = 5(6)    → -42x + 30y = 30

Now we can add the two equations to get:

-17x = 85

x = -85/17 which is x = -5

Now we can plug in -5 into the first equation to solve for 'y':

5(-5) - 6y = 11

-25 - 6y = 11

-6y = 36

y = -6

CHECK:

-7(-5) + 5(-6) should equal 5

35 + (-30) = 5

5 = 5

Find the 71st term. 8, 14, 20, 26, ...

Answers

Answer:

The 71st term is 428.

Step-by-step explanation:

Use Arithmetic Explicit formula:

f(n) = f(1) + (n - 1) d

Solve:

f(71) = 8 + (71 - 1) 6

f(71) = 8 + (70) 6

f(71) = 8 + 420

f(71) = 428

Find nth term rule its adding 6 so 6n
Now find 0th term 8-6=2
6n+2
Substitute 71 for n
6(71)+2
428

If e
very day, Kim practices volleyball and clarinet. Each day, she practices volleyball for 2.5 hours. If after 8 days she practiced both volleyball and clarinet for a total of 36 hours, how many hours per day did Kim practice clarinet?

Answers

Answer:

2hours

Step-by-step explanation:

2.5×8

=20

36-20

=16

16/8

=2hours

Find the divers maximum height above the water if he dives from a 10 feet
platform with an initial velocity 64 ft/s. To earn 5 points write the formula,
value of t and h

Answers

Answer:

6/7/8.9

Step-by-step explanation:

tony purchases a pair of jeans for 45.49 before tax the jeans were originally priced at 69.99 what was the percent discount a 35% Bn20% C 65% and D 80% pls help

Answers

Answer:

dream is better

Step-by-step explanation:

A convenience store purchased a magazine and marked it up 100% from the original cost of $2.30. A week later, the store placed t

Which of these are equal to 5? Select all that apply.

Answers

Answer:

5

Step-by-step explanation:

Kindly, your question is not compete and clear

Solve the equation: [tex]x^{2} +5x+6=0[/tex]
I know [tex]x^{2} +5x+6=(x+3)(x+2)[/tex] (that was part a) but I don't know where to go from here!

Answers

Step-by-step explanation:

but then you did already the most work.

because just think : when is the expression

(x+3)(x+2) equal to 0 ?

only, if at least one factor of the multiplication is equal to 0.

you know, for example, 5×0 = 0, or 0×3 = 0.

that means either (x+3) or (x+2) must be 0.

x + 3 = 0

x = -3

and

x + 2 = 0

x = -2

and there you have it.

a quadratic equation (with the highest x exponent is 2) has 2 solutions for being 0.

and this one here has the 2 solutions

x = -3 and

x = -2

again, by finding the factors you did already the biggest and most difficult part yourself. congratulations !

In a math class with 26 students, a test was given the same day that an assignment
was due. There were 17 students who passed the test and 18 students who completed
the assignment. There were 15 students who passed the test and also completed the
assignment. What is the probability that a student who failed the test completed the
homework?

Answers

Answer:

n a math class with 26 students, a test was given the same day that an assignment

was due. There were 17 students who passed the test and 18 students who completed

the assignment. There were 15 students who passed the test and also completed the

Answer:

3/26

Step-by-step explanation:

Form a venn diagram. You can see that there are 3 students who failed the test but completed the homework.

Plz mark as brainliest

write an equation of the line that passes through (-2, 3) and is arallel to the line y=2x-4

Answers

Answer:

y=2x+7

Step-by-step explanation:

you would substitute so x=-2 and y=3

All lines parralel always have the same x so

y=2x-c (c means crossing point of y)

then substitute

3=(2x-2)-c

3=-4-c

c= +7

so just put in the equation and the answer is:

y=2x+7

Hope this helps!!

Given that y is inversely proportional to the square of (x+1),
(a) Express y in terms of x and k, where k is a constant.
(b) Given that x=4 when y=2, find an equation connecting y to x.
(c) Hence, find the value of x when y = 4.​

Answers

[tex]\\ \sf\longmapsto y\propto \dfrac{1}{(x+1)^2}[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{k}{(x+1)^2}[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{k}{x^2+2x+1}[/tex]

#2

Put x=4

[tex]\\ \sf\longmapsto 2=\dfrac{k}{x^2+2x+1}[/tex]

[tex]\\ \sf\longmapsto 2x^2+4x+2=k[/tex]

[tex]\\ \sf\longmapsto 2(x^2+2x+1)=k[/tex]

[tex]\\ \sf\longmapsto x^2+2x+1=k[/tex]

Put x=4

[tex]\\ \sf\longmapsto 16+8+1=k[/tex]

[tex]\\ \sf\longmapsto k=25[/tex]

Put in equation

[tex]\\ \sf\longmapsto y=\dfrac{25}{x^2+2x+1}[/tex]

#3

y=4

[tex]\\ \sf\longmapsto x^2+2x+1=\dfrac{25}{4}[/tex]

[tex]\\ \sf\longmapsto x^2+2x+1=25/4-1=21/4[/tex]

[tex]\\ \sf\longmapsto x(x+2)=21/4[/tex]

[tex]\\ \sf\longmapsto x=21/4\:or 13/4[/tex]

A pyramid has a square base with sides. The height of the pyramid is that of its side. What is the expression for the volume of the pyramid?

Answers

Answer:

The answer is E.

Find the value of y to the nearest tenth.

Answers

Step-by-step explanation:

the easiest approach seems to be the law of sines :

a/sin(A) = b/sin(B) = c/sin(C)

where the sides and the angles are always opposite of each other.

we have here a right-angled triangle, so the angle opposite of 10 is 90 degrees.

10/sin(90) = 10/1 = 10 = y/sin(37)

y = 10×sin(37) = 6.018150232 ≈ 6.0

Can someone help me, please?

Answers

15 + m < 26

M could be any number 10 or below

Answer:

Inequality

[tex]-22<m<12[/tex]

Interval Notation

[tex](-22,12)[/tex]

Reasoning:

First of all, subtract nine on both sides.

[tex]| m + 5|<17[/tex]

Now make two equations

[tex]|m+5|=-17[/tex]

[tex]m=-22[/tex]

[tex]|m+5|=17[/tex]

[tex]m=12[/tex]

Now you can make an inequality for m:

[tex]-22<m<12[/tex]

plz help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

Use DESMOS to plot both lines (attached).

If you make your own lines on the graph paper, pick two points for each line and connect them with a ruler.  Both are straight lines, so we only need two points.

Pick any two values of x and solve each equation for y.  I picked x = 1 and 3

EQ1:  y=2x-2

EQ2:  y=-x+4

Value of y    EQ1  EQ2

           x =1     0       3

           x =3    4        1

Plot the points (1,0) and (3,4) for EQ1.

Do the same for EQ2:  (1,3) and (3,1)

The attached graph shows these points.  Note that one can draw stright lines for both equations using only these two points.

Corrine ran 4 miles in 28 minutes yesterday and
5 1/2 miles in 32 minutes
todoy Did she run
foster today or
yesterday?

Answers

Answer:

Step-by-step explanation:

First things first, you need to find out how many minutes it took Corrine to run one mile each day. To do this, you divide 4 by 4 and 28 by 4

4 ÷ 4 = number of miles

4 ÷ 4 = 1 mile

28 ÷ 4 = number of minutes for one mile

28 ÷ 4 = 7 minutes for one mile

Next, you need to divide 5.5 by 5.5 and 32 by 5.5

5.5 ÷ 5.5 = number of miles

5.5 ÷ 5.5 = 1 mile

32 ÷ 5.5 = number of minutes for one mile

32 ÷ 5.5 = 5.81818181818

So, Corrine ran one mile in 7 minutes yesterday and ran one mile in 5.81818181818 today.

All in all, Corrine ran faster today than yesterday.

Hope this helps!

What is the value of 4) in the function below?
f(x) = 1.2
O A. 4
ОВ. 2
O C. 8
O D. 16

Answers

Answer:

D. 16          i took the quiz trust me ok? ily stay safe queen

Step-by-step explanation:

Sean bought 1.8 pounds of gummy bears and 0.6 pounds of jelly beans and paid $10.26. He went back to the store the following week and bought 1.2 pounds of gummy bears and 1.5 pounds of jelly beans and paid $15.09. What is the price per pound of each type of candy?

Answers

Answer:

1 pound of gummy bears = $3.20

1 pound of jelly beans = $7.50

Step-by-step explanation:

1.8 pounds of gummy bears + 0.6 pounds of jelly beans

= $10.26

1.2 pounds of gummy bears + 1.5 pounds of jelly beans

= $15.09

2.5 × (1.8 pounds of gummy bears + 0.6 pounds of jelly beans) = 2.5 × $10.26

--> 4.5 pounds of gummy bears + 1.5 pounds of jelly beans = $25.65

(4.5 pounds of gummy bears + 1.5 pounds of jelly beans) - (1.2 pounds of gummy bears + 1.5 pounds of jelly beans) = 3.3 pounds of gummy bears

3.3 pounds of gummy bears

= $25.65 - $15.09

= $10.56

1 pound of gummy bears

= $10.56 ÷ 3.3

= $3.20

1 pound of jelly beans

= [$10.26 - ($3.20 × 1.8)] ÷ 0.6

= $4.50 ÷ 0.6

= $7.50

HELPP YALL! ILL MARK BRAINIEST!!! LOOK AT PICTURE!!!

Answers

Answer:

x=11

y=118

Step-by-step explanation:

pls can i have brainliest if im right

Answer:

x = 34°

y = 118°

Step-by-step explanation:

As ∠y and 62° are on the same line but lines P and Q are parallel to each other, they both add up to 180:

y + 62 = 180

y = 180 - 62

y = 118°

As this angle and 4x - 18 are corresponding angles, they both equal the same so:

4x - 18 = 118

4x - 18 + 18 = 118 + 18

4x = 136

[tex]\frac{4x}{4} = \frac{136}{4}[/tex]

x = 34°

Hope this helps!

this is a question of algebraic expressions​

Answers

Answer:

p = 2a + 2b

Step-by-step explanation:

The perimeter p is the sum of the 4 sides , then

p = a + a + b + b = 2a + 2b

IF YOU ANSWER I WILL BRAINLIST YOU!!!!!!!

Jane works at a high-end jewelry store. She earns an hourly wage of $10.50, plus a 6% commission on any item she sells. One weekend, Jane works for 5 hours on Saturday and 9 hours on Sunday. She sells $650 worth of jewelry. How much money does she earn that weekend?

Answers

Answer:

$186

Step-by-step explanation:

hourly wage: $10.50/hour

commission: 6%

5 hours + 9 hours = 14 hours

14 hours × $10.50/hour = $147

6% of $650 = 0.06 × $650 = $39

total: $147 + $39 = $186

in a car park 2/3 of the cars are red

1/5 of the cars are blue

What fraction of the cars are red or blue ?

Answers

Answer:

13/15

Step-by-step explanation:

"Or" in probability means to add. Therefore, we would do 2/3 + 1/5:

First, we need a common denominator: 2/3 + 1/5 → 10/15 + 3/15 (I multiplied the first fraction by 5/5 and the second fraction by 3/3).

Now, we can add the numerators: 10/15 + 3/15 = 13/15.

Hope this helps!

ILLA
2. Miles makes $14 per hour but has to pay $55 for his cell
phone bill.

Answers

miles had to work 4 hours to pay his phone bills and he had 1$ left over

Answer:

i dont know

Step-by-step explanation:

what question are you asking?

Yo help 20 points plssssssssssssss

Answers

Answer:

Up up up up up up up up up up

Directions: Directions: Identify x1, x2, y1, and y2. Solve for the of the line passing through the given points. Identify if the slope is positive, negative, zero, or undefined.

1.​(2,1) and (5,3)
2.​(-2,1) and (1, -3)
3.​(4,1) and (5,1)
4.​(7,-1) and (7,5)
5.​(-2,1) and (3,6)​

Answers

Step-by-step explanation:

Number 1

m = (y2 - y1)/(x2 - x1)

m = (3 - 1)/(5 - 2)

m = 2/3 POSITIVE

Number 2

m = (y2 - y1)/(x2 - x1)

m = (-3 - 1)/(1 + 2)

m = -4/3 NEGATIVE

Number 3

m = (y2 - y1)/(x2 - x1)

m = (1 - 1)/(5 - 4)

m = 0/1

m = 0 ZERO

Number 4

m = (y2 - y1)/(x2 - x1)

m = (5 - 1)/(7 - 7)

m = 4/0

m = UNDEFINED

Number 5

m = (y2 - y1)/(x2 - x1)

m = (6 - 1)/(3 + 2)

m = 5/5

m = 1 POSITIVE

pasagot please
answer it please​

Answers

Answer:

Step-by-step explanation:

Let's start by looking at the graph of the two equations.

Since you are not looking for where the lines cross, I have chosen any 3 points for each equation almost randomly. I have not used either the x or y intercepts except once.

As a sample for the method of calculation

Let x -2y = 4

Let x = -2.             Find y and put it in the table

-2 - 2y = 4             Add 2 to both sides

-2+2-2y = 4 + 2    Combine

-2y = 6                  Divide by -2

y = 6/-2

y = - 3

Put that in the table under the first equation.

The other 5 points are done the same way.

i will give crown if answered right i just need to check my work

Answers

Answer:

9x(3x-2) (3x+2)

Step-by-step explanation:

[tex]81x^{3}-36x[/tex]

9(9x³ - 4x)

9x(9x² - 4)

Since both terms are perfect squares factor using the difference of squares formula,  a² - b² = (a + b) (a - b)

Therefore, 9x(3x-2) (3x+2)

Answer:

81z^3-36z = 9z(3z-2)(3z+2)

Step-by-step explanation:

(81z^3-36z)=9z(9z^2-4)

9z(9z^2-4)=9z(3z-2)(3z+2)

81z^3-36z=9z(3z-2)(3z+2)

81z^3-36z=9z(3z-2)(3z+2)

What is the product of −2 1/2 and −3 1/3 pls asap

Answers

Answer:

-5/2 & -10/3

Step-by-step explanation:

For -2 1/2

as a decimal : -3.3

mixed number:-3 1/3

exact form: -5/2

for -3 1/3

as a decimal :-3.3

mixed number:-3 1/3

exact form:-10/3

6 1/6, a negative multiplied by a negative is a positive so -2 • -3 is 6 then we do 1/2 • 1/3, we multiply the denominator and get 6 and 1 • 1 is 1 so 6 1/6

Find the product of 2 1/3 × 3/5

Answers

Answer: exact form: 7/5

Decimal form: 1.4

Mixed form: 1 2/5

Step-by-step explanation:

The credit remaining on a phone card is a linear function of the total calling time made with the card( in minutes). The remaining credit after 34 minutes of calls is $25.58, and the remaining credit i go after 48 minutes of calls is $23.76. What is the remaining credit after 50 minutes of calls

Answers

Answer:

23.5

Step-by-step explanation:

(23.76-25.58)/(48-34) = -0.13

-0.13 * 2 = -0.26

23.76 - 0.26 = 23.5

Please help me , the question is in the image below

Answers

Answer:

not sure about this question

Step-by-step explanation:

not sure about this question

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