Mathematics High School

Which value of y makes the inequality 3y^2+2(y-5)>8 true


A y=0
B y= -1
C y= -2
D y= -3

Answers

Answer 1

Answer:

Conclusion:

As y = -3 MAKES the inequality TRUE.

Therefore, option D i.e. y = -3 is true.

Step-by-step explanation:

Given the inequality

3y² + 2(y - 5) > 8

For y = 0

substitute y = 0 in the inequality

3y² + 2(y - 5) > 8

3(0)² + 2(0 - 5) > 8

3(0) + 2(-5) > 8

0 - 10 > 8

-10 > 8

FALSE!

-10 can not be greater than 8.

Hence, y = 0 does not make the inequality true.

For y = -1

substitute y = -1 in the inequality

3y² + 2(y - 5) > 8

3(-1)² + 2(-1 - 5) > 8

3(1) + 2(-6) > 8

3 - 12 > 8

-9 > 8

FALSE!

-9 can not be greater than 8.

Hence, y = 1 does not make the inequality true.

For y = -2

substitute y = -2 in the inequality

3y² + 2(y - 5) > 8

3(-2)² + 2(-2 - 5) > 8

3(4) + 2(-7) > 8

12 - 14 > 8

-2 > 8

FALSE!

-2 can not be greater than 8.

Hence, y = -2 does not make the inequality true.

For y = -3

substitute y = -3 in the inequality

3y² + 2(y - 5) > 8

3(-3)² + 2(-3 - 5) > 8

3(9) + 2(-8) > 8

27 - 16 > 8

11 > 8

TRUE!

11 is indeed greater than 8.

Hence, y = -3 MAKES the inequality TRUE.

Conclusion:

As y = -3 MAKES the inequality TRUE.

Therefore, option D i.e. y = -3 is true.

Answer 2

Answer:

D

Step-by-step explanation:

Related Questions

What is the answer to this question?

Answers

Answer:

10.5cms

Step-by-step explanation:

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CAN WE BE FRIENDS

7+7+3+3=20
20/4=5
Hope this helped

The area in square feet of a rectangular garden can be expressed as the product of the garden’s length and width, or A(x) = 3x2 +13x +14. If the width of the garden is (x + 2) feet, what is the length of the garden?

Answers

Answer:

3x+7

Step-by-step explanation:

Use long division or synthetic division. (3x^2+13x+14)/(x+2)

The length of the rectangular garden is 3x + 7

The given expression:

[tex]A = 3x^2 + 13x + 14[/tex]

the width of the garden = x + 2

let the length of the garden = y

To find:

the length of the garden

The area of the rectangular garden is calculated as;

[tex]A = y(x + 2) = 3x^2 + 13x + 14\\\\y(x + 2) = 3x^2 + 13x + 14\\\\y = \frac{3x^2 + 13x + 14}{x + 2}[/tex]

Using long division method:

                         3x + 7

                    ------------------------------

        x + 2 √ 3x² + 13x + 14

                  - (3x² + 6x)

                   -------------------------

                              7x + 14

                            - (7x + 14)

                  -------------------------------

                                0

Thus, the length of the rectangular garden, y = 3x + 7

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11 12 13 14 15
There were 180 people who voted at the town council meeting. Of these people, 60% voted for building a
new basketball court in the park
How many people voted against building the new basketball court? Complete the explanation of how to
find the answer
60% of 180 equals
and 180-
people that are against building the basketball court.
There are

Answers

the graphing would be easier to use because it demonstrates the numbers that are in the situation

Determine the intercepts of the line

y-intercept (__,__)
x-intercept (__,__)

Answers

Y- intercept is (0,2.5)
X-intercept is (0,3.5)
Hope this helps

The length of a rectangular room is 7.3 feet longer than the width, x,
of the room. Which expression represents the perimeter of the room?

Answers

Answer:

14.6+4x

Step-by-step explanation:

permimeter=length(2)+width(2)

7.3+x would be the length

so if you multiplied (7.3+x)2, you would get 14.6+2x if you distributive property.

Then if you multiply the width, x, by 2, you get 2x.

So we would get 14.6+2x+2x when we add them together.

And that would be 14.6+4x if you combine like terms.

And that would be your answer.

What is 3/4 divided 1/2

Answers

Answer:

1.5

Use KCF to solve this problem

Answer:

1 1/2

Step-by-step explanation:

When dividing fractions, use Keep Change Flip, to get 3/4*2/1, this gives you 6/4, which is equal to 1 1/2

PLEASE HELP FAST READ THE QUESTION I WILL GVOE EXTRA POINTS PLUS BRAINLIST FOR A. And B. Really easy!

Answers

Answer

A) 4/11 B)7/11

Step-by-step explanation:

because there is 11 letters in PROBABILITY four are vowels and 7 are consonants. That means 4/11 chance can be a vowel

Answer:

A:

5 in 26

B:

19 in 26

Step-by-step explanation:

There are 5 vowels and 26 letters in the alphabet.

There are 19 consonants.

:)

In the figure, XYZ=MNL
Find m

Answers

Answer:

m = 33°

Step-by-step explanation:

x = 33°

from picture ;

x = m = 33°

n = y = 124

The following table shows the salary of 7 people in an office last year.

Name Income
Andy £9500
Bevan £25000
Cheryl £13250
Deva £75000
Elliott £18750
Frankie £27500
Grace £15000
a) Work out the mean income to 2 DP.
b) Deva was given a large bonus for 30 years service.
Excluding Deva's income, what was the mean income for the remaining 6 workers to 2 DP?
a) £
b) £

Answers

Answer:

dfghdfgh

Step-by-step explanation:

Answer:

26285.71

Step-by-step explanation:

sum all income

divide by number of incomes

PLEASE HELP ASAP! i’ll mark brainlest

Answers

Answer:

it looks like you already have the 2 answers

Step-by-step explanation:

Well if I’m pretty sure you have the right answers but if you have to add another one it would be D

Please answer this question.

Answers

80% of her attempts were strikes.
80% of her attempts were strikes

hope that helped:)

Carl saids the he is 5 feet tall. His sister is 60 inches tall.Are theses heights are the same? explain why are they not?

Answers

Answer:

they are the same

Step-by-step explanation:

i know because i do

A construction manager needs 12 workers to complete a building project in 54 days. Find in terms of T the number of workers needed to complete the same project in T days

Answers

Answer:

2T/9

Step-by-step explanation:

A construction manager needs 12 workers to complete a building project in 54 days, we can write;

12 workers = 54 days

T find the number of workers needed to complete the same project in T days, we will write;

x workers = T days

Divide both equations

12/x = 54/T

Cross multiply

12T = 54x

x = 12T/54

x = 2T/9

Hence the number of workers needed to complete the same project in T days is 2T/9 workers

can the numbers 3,6 and 8 be the values for the sides of a triangle

Answers

Answer:

No

Step-by-step explanation:

The reason why is the square root of 3^2 + 6^2 does not equal 8^2.

Can someone help me (7th grade science) need to be done as sonn as possible

Answers

Answer:

1. B

2. Reflection

3. Refraction

Step-by-step explanation:

What is the price of a $13 ticket with a 8% sales tax?

Answers

Answer:

$14.04

Step-by-step explanation:

13 + 1.04 = $14.04

Answer:

Step-by-step explanation:

to find out the price

with the sales tax

13*8/100=1.04

13+1.04=14.04 is the final price

PLEASE ANSER FAST!!

Leah is buying a new couch that regularly costs $699, but is on sale for 10% off. She also has to pay a 7% sales tax on her purchase. Which expression could Leah use to calculate the final price of the couch?

699(1.10)(1.07)


699(1.10)(0.93)


699(0.90)(0.93)


699(0.90)(1.07)

Answers

Answer:

699(0.90)(1.07)

Step-by-step explanation:

Given that:

Regular cost of couch = $699

Onsale percentage = 10%

Sales tax in purchase = 7%

Final price of couch :

New price at Selling percentage :

Regular price * (discount) * (sales tax percentage)

Regular price * (100% - 10%) * (100 + 7%)

699 * (1 - 0.1) * (1 + 0.07)

699 * 0.90 * 1.07

699(0.90)(1.07)

om sells cookies in his store. His bakery has a total of 1,850 cookies for the weekend. If 30% of his cookies are oatmeal raisin cookies, how many cookies are oatmeal raisin?

Answers

Answer:

555

Step-by-step explanation:

You turn 30% into a decimal= 0.30

Then multiply 1850*0.30 which gets you 555

Here are the ingredients needed to make 20 walnut biscuits.
Walnut biscuits
Ingredients to make 20 biscuits
50g butter
100g caster sugar
40g flour
50g walnuts
2 egg whites
Liz wants to make 50 walnut biscuits
Work out the amount of each ingredient she needs

Answers

Answer:

125g butter

250g caster sugar

100g flour

125g walnuts

5 egg whites

I THINK

Answer:

Step-by-step explanation:

just do x2.5

4y=x+8 pls answer hurry up pls

Answers

Answer:

x=-8

y=2

Step-by-step explanation:

HELP ME PLS...................TY

Answers

Answer:

E

Step-by-step explanation:

the only one where all the pieces of the equation have the same signs

12x+3y=-9

find y- intercept​

Answers

Answer:

3

Step-by-step explanation:

subtract 3y from both sides

add 9 to both sides

3y=12x+9

divide everything by 3

y=4x+3

y-intercept is 3

What is the solution to the equation: 2x-5 = -x+7

A: x=4
B: x=12
C: x=2
D: x=-4

Answers

Answer:

D: x=-4

Step-by-step explanation:

explain the steps to solve the word problem over similar figures.

John made a scale model of a car. The car has an actual height of 25 feet. Johns model used a scale in which 1 inch represents 10 feet. What is the height in inches of Johns model?

Answers

Answer:

2.5 inches

Step-by-step explanation:

Remember:

Big to small, multiply it all

Small to big, divide the pig

Since feet is bigger than inches we're dividing 25 by 10 which is 2.5

i need the anwser and the fractions

Answers

Answer:

5.5/3 - 3/1 = 2.5/3

factor 18v⁹+33v⁸+14v⁷ completely ​

Answers

Answer:

[tex]v^{7}[/tex] x (6v+7) x (3v+2)

Step-by-step explanation:

18v^9 + 33v^8 +14v^7

Factor out v^7 from the expression

v^7 x (18v^2+33v+14)

write 33v as a sum

v^7 x (18v^2+21v+12v+14)                  *like this 21v+12v

Factor out 3v from the expression

v^7 x (3v x (6v+7)+12v+14)

Factor out 2 from the expression

c^7 x (3v x (6v+7)+2(6v+7)

Factor out 6v+7 from the expression

v^7 x (6v+7) x (3v+2)

In the figure, a∥e, m∥n, and m∠1 = 108°.

What is the m∠3?

Enter your answer in the box.

°

Lines n and m (reading from top to bottom) are parallel to each other, and lines a and e are parallel to each other. The two pairs of lines intersect each other. Lines m and n start at top left and drop to the bottom right. Lines a and e rise from left to right. Only six of the sixteen angles created are labelled. Angle one is the top angle made by lines n and a. Angle two is the bottom angle. Angle three is the bottom angle made by lines m and a. Angle four is the top angle made by lines n and e. Angle five is the left angle. Angle six is the bottom angle made by lines m and e.

Answers

Answer:

I believe the answer is 108

Answer:

108

Step-by-step explanation:

Got 100% on my quiz

an = -15 + 5(n – 1)
Find the 21st term of the sequence.

Answers

Answer:

[tex]a21 = - 15 + 5(21 - 1) \\ = - 15 + 105 - 5 \\ = 85[/tex]

85 the 21st term of the sequence.

What is Arithmetic progression?

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

here, we have,

an = -15 + 5(n – 1)

so,

a_21= -15+(21-1)5

      =-15+100

      =85

Hence, 85 the 21st term of the sequence.

To lean more on Arithmetic progression click:

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HURRY ILL GIVE BRAINLIEST.!!!!!
Drag each label to the correct location on the table. Each label can be used more than once, but not all labels will be used.
Simplify the given polynomials. Then, classify each polynomial by its degree and number of terms.
Polynomial 1: (1 - 1)(61 + 2)
Polynomial 2: (712 + 32) – (21.32 – 12)
Polynomial 3: 4(5.12 – 95 + 7) + 2(-10x2 + 185 – 13)
2
6.12 + 21 - 1
612 - I - 1
trinomial
linear
constant
6
binomial
Polynomial
Simplified Form
Name by
Degree
Name by
Number of Terms
1
612 - I - 1
quadratic
2
3.0 + 4
3
2
monomial
Reset
Next

Answers

Answer:

Polynomial 1:

Simplified Form: 6x^2 - x - 1

Name by Number of Terms: trinomial

Polynomial 2:

Name by Degree: linear

Name by Number of Terms: binomial

Polynomial 3:

Simplified Form: 2

Name by Degree: constant

Step-by-step explanation:

Polynomial 1:

(x-1/2)(6x+2)

6x^2 - 3x + 2x - 1

6x^2 - x - 1

It has 3 terms, so it's a trinomial.

Polynomial 2:

There is one term with x and x is raised to the first degree, so it's linear.

There are 2 terms, so it's a binomial.

Polynomial 3:

4(5x^2-9x+7)+2(-10x^2+18x-13)

20x^2 - 36x + 28 -20x^2 + 36x - 26

28 - 26

2

Since there are no variables and the answer is just 2, it's a constant.

Can anyone help me with this question please .

Answers

Answer:

its the second one

Step-by-step explanation:

The answer for this is Non Linear, here is a chart that may help you.
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