The Point (0,0) is a solution to which of these inequalities?

The Point (0,0) Is A Solution To Which Of These Inequalities?

Answers

Answer 1

Answer:

(0, 0) s the solution of y-4 < 3x-1 as it satisfies the inequality.

Hence, option C is true.

Step-by-step explanation:

Given the point (0, 0)

a)

Putting the point (0, 0) the inequality

y+4 < 3x-1

0+4 < 3(0)-1

4 < -1

This is false as -1 can not be greater than 4

b)

y-1 < 3x-4

Putting the point (0, 0) the inequality

0-1 < 3(0)-4

-1 < -4

This is false as -1 can not be lesser than -4

c)

y-4 < 3x-1

Putting the point (0, 0) the inequality

0-4 < 3(0)-1

-4 < -1

This is true as -4 is lesser than -1

d)

y+4 < 3x+1

Putting the point (0, 0) the inequality

0+4 < 3(0)+1

4 < 1

This is false as 4 can not be lesser than 1

Therefore, (0, 0) s the solution of y-4 < 3x-1 as it satisfies the inequality.

Hence, option C is true.


Related Questions

f(x)=-3x2 + 2x - 7 f(-1)=

Answers

What’s after the =
Loading....

Answer: I hope I’m not too late, but the answer is A.) 12

Step-by-step explanation:

YALLLLL PLEASE HELP MEEEEEEEEEEEEEEE I WIIIL MAKR BRANLIEST IF CORRECT!!!!!!!!
Write an equation in slope intercept whose slope is 5 and y intercept is -3

Answers

Answer:

y=5x-3

Step-by-step explanation:

it just is

Answer:

y=5x-3

Step-by-step explanation:

Find the quotient:
7/8

Answers

Answer:

c.) 2 1/3

Step-by-step explanation:

i know

What’s the approximate value of a $12,000 car after 1 year?

Answers

Answer:

i think the aswer s 60,000

Step-by-step explanation:

There are 43 children at a school. They want to make teams with 6 children on each team for kickball. Two of the children go home. How many complete teams can they make? Explain.

Answers

Answer:

6 teams

Step-by-step explanation:

They can only make 5 teams with 8 kids on each. 1 child will remain

1. What is the Potential Energy of a 6 kg object that is 10 m above the
ground?

Answers

PE = mgh
m = 6 kg, g = 9.8 m/s^2, h = 10m
6 * 9.8 * 10 = 588 J

Use the distributive property to remove the parentheses (x+12)8

Answers

Answer:

Using distributive property to remove the parentheses [tex](x+12)8[/tex] we get [tex]8x+96[/tex]

Step-by-step explanation:

We need to use distributive property to remove the parentheses (x+12)8

According to distributive property of multiplication over addition:

[tex]a(b+c)=ab+ac[/tex]

Now, using the above distributive property to solve the given question. Multiply 8 with terms inside the bracket and solving:

[tex](x+12)8\\=8x+8*12\\=8x+96[/tex]

So, using distributive property to remove the parentheses [tex](x+12)8[/tex] we get [tex]8x+96[/tex]

In rectangle ABCD, point E lies half way between sides AB and CD and halfway between sides AD and BC. If AB=3 and BC=2, what is the area of the shaded region? Write your answer as a decimal, if necessary. Do not include units in your answer.

Answers

Answer:

The area of the shaded region is 3.

Step-by-step explanation:

Since point E lies halfway between AB and BC, the area of the shaded region (As) consists of two identical triangles with base equal to AB and height equal to half the measure of BC:

[tex]A_s=2 * A_t[/tex]

Where At is the area of each triangle.

[tex]\displaystyle A_t=\frac{AB*BC/2}{2}[/tex]

[tex]\displaystyle A_t=\frac{AB*BC}{4}[/tex]

We know AB=3 and BC=2, thus:

[tex]\displaystyle A_t=\frac{3*2}{4}=\frac{6}{4}[/tex]

Simplifying:

[tex]\displaystyle A_t=\frac{3}{2}[/tex]

Finally:

[tex]\displaystyle A_s=2 * \frac{3}{2}[/tex]

[tex]A_s=3[/tex]

The area of the shaded region is 3.

Note the area of the shaded region is half the area of the rectangle.

please help this question is very difficult ................

Answers

Answer:

[tex]\lim _{x\to \:0}\left(\frac{\sqrt{1+x}+\left(1+x\right)^7-2}{7}\right)\\\\\frac{\sqrt{1+0}+\left(1+0\right)^7-2}{7}\\\\then\ simplify\\=0[/tex]

Step-by-step explanation:

Solve the following inequality 5x-60>8x

Answers

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[tex]5x - 60 > 8x[/tex]

[tex]8x < 5x - 60[/tex]

Subtract sides 5x

[tex] - 5x + 8x < - 5x + 5x - 60[/tex]

[tex]3x < - 60[/tex]

Subtract sides 3

[tex] \frac{3x}{3} < \frac{ - 60}{3} \\ [/tex]

[tex]x < - 20[/tex]

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Answer: The answer is x<–20.

Step-by-step explanation: Let’s solve the inequality step by step.

• Step 1 Subtract 8x from both sides. Do the rest of the step by step of the following inequality.

PROBABILTY- Could you help me please?

Answers

Answer:

I think the answer is (c) 3

Consider the composite function g(F(x)) = x square root of 6.
If f(x) = 3x2, what is g(x)?


Answers

Answer:

g(x) = √(2x)

Step-by-step explanation:

f(x) = 3x^2

g(f(x)) =√6x

g(3x^2) = x√6

g(x) must be √(2x)

because if we  substitute  x = 3x^2 in this we get

(√2(3x^2))

= √2√3√(x^2)

= √6 x

What is an equation in point-slope form of the line that passes through (-7, 1) and (-3, 9)?
A. y+ 3 = 2(x - 9)
B. y- 3 = 2(x + 9)
C. y + 9 = 2(X - 3)
D. y- 9 = 2(X + 8)

Answers

Answer:

Step-by-step explanation:

y+3=2(x-9)

the length of a triangle is 3 centimeters less than twice its width its area is 35 square centimeters find the dimensions of the rectangle use formula area=length*width the width is ?_ the Length is?_

Answers

[tex] \LARGE{ \underline{ \tt{Required \: answer:}}}[/tex]

We have:

The length of a triangle is 3 centimeters less than twice its width.Area = 35 cm²

We need to find:

Dimensions of the rectangle?

Solution:

Let the width be w. Then the length would be:

➝ Length = 2(width) - 3

➝ l = 2w - 3

Area of rectangle: l × b

➝ Length × width = 35 cm²

➝ (2w - 3)w = 35

➝ 2w² - 3w - 35 = 0

Now finding value of x by middle term factorisation,

➝ 2w² - 10w + 7w - 35 = 0

➝ 2w(w - 5) + 7(w - 5) = 0

➝ (2w + 7)(w - 5) = 0

Hence,

w = 5 because width can't be negative.l = 2(5) - 3 = 7

Therefore,

Width = 5 cmLength = 7 cm

⛱️ [tex] \large{ \blue{ \bf{FadedElla}}}[/tex]

let x represent the rectangle's width;

thus;

Width = x

Length = 2x - 3

Area = 35 sq. cm.

Area = Length × Width

35 = (2x - 3)(x)

35 = 2x^2 - 3x

2x^2 - 3x - 35 = 0

Factorizing:

x = 5 or -3.5

but width is a scalar quantity and cannot be negative:

Hence:

Width = 5 cm.

Length = 2(5) - 3 = 7 cm.

6x = 41

x = 7 to the nearest whole number.

Width = 7 cm.

Length = 2(7) - 3 = 11 cm.

A department store buys 500 shirts at a cost of ​$4000 and sells them at a selling price of ​$10 each. Find the percent markup.

Answers

9514 1404 393

Answer:

  25%

Step-by-step explanation:

The markup is the difference between the selling price and the cost price.

  markup = (500)($10) - $4000 = $1000

Then the percent markup of the cost price is ...

  markup/(cost price) = $1000/$4000 × 100% = 25%

The percentage markup was 25%.

Pls help me don’t make fun

Answers

Please refer to the captured image for the process and the answer. (Ignore the graph)

(I'LL BE GIVING BRAINLIEST AND EXTRA POINTS TO WHO EVER HELPS ME!! :D)



Terri buys five and seven eighths ounces of chocolate chips. She uses four and four sixths ounces in a recipe. How many ounces of chocolate chips does she have left?

A) one and ten forty eighths ounces

B) one and three fourteenths ounces

C) two and ten forty eighths ounces

D) two and three fourteenths ounces

(Here is an image if needed) :

Answers

1 and 10/48

5(7/8) - 4(4/6)
47/8 - 28/6
29/24
1 and 5/24

1 and 10/48

20. A store offers a discount of 10% to customers
who spend more than $20. If a customer's
total bill was $80, what will he actually pay?
A. $60
B. $70
C. $72
D. $74

Answers

The answer is C. $72
First, you need to find 10% of $80. You do this by turning 10% into a decimal. This is 0.1. Multiply 80 x 0.1
This is 8, or $8.

Since it is a discount, you need to subtract from 80. So do 80-8.

This gives you 72.
Therefore, your answer is C, $72

I hope this helps! Happy Thanksgiving!

Use the method of lagrange multipliers to find

a. The minimum value of x+y, subject to the constraints xy=196, x>0, y>0
b. The maximum value of xy, subject to the constaint of x+y=196

Answers

Answer:

a) The function is: f(x, y) = x + y.

The constraint is: x*y = 196.

Remember that we must write the constraint as:

g(x, y) = x*y - 196 = 0

Then we have:

L(x, y, λ) = f(x, y) +  λ*g(x, y)

L(x, y,  λ) = x + y +  λ*(x*y - 196)

Now, let's compute the partial derivations, those must be zero.

dL/dx =  λ*y + 1

dL/dy =  λ*x + 1

dL/dλ = (x*y - 196)

Those must be equal to zero, then we have a system of equations:

λ*y + 1 = 0

λ*x + 1 = 0

(x*y - 196) = 0

Let's solve this, in the first equation we can isolate  λ to get:

λ = -1/y

Now we can replace this in the second equation and get;

-x/y + 1 = 0

Now let's isolate x.

x = y

Now we can replace this in the last equation, and we will get:

(x*x - 196) = 0

x^2 = 196

x = √196 = 14

then the minimum will be:

x + y = x + x = 14 + 14 = 28.

b) Now we have:

f(x) = x*y

g(x) = x + y - 196

Let's do the same as before:

L(x, y, λ) = f(x, y) +  λ*g(x, y)

L(x, y, λ) = x*y +  λ*(x + y - 196)

Now let's do the derivations:

dL/dx = y + λ

dL/dy = x + λ

dL/dλ = x + y - 196

Now we have the system of equations:

y + λ = 0

x + λ = 0

x + y - 196 = 0

To solve it, we can isolate lambda in the first equation to get:

λ = -y

Now we can replace this in the second equation:

x - y = 0

Now we can isolate x:

x = y

now we can replace that in the last equation

y + y - 196 = 0

2*y - 196 = 0

2*y = 196

y = 196/2 = 98

The maximum will be:

x*y = y*y = 98*98 = 9,604

4^4÷4^7 as a fraction

Answers

Answer: multiply it by the bisector of the photosynthesis.

obviously

Step-by-step explanation:

Looking at the histogram, how many students took the exam?
A: 37
B: 14
C: 5
D: 28​

Answers

Answer:

(-2, 33) and (5, - 16)?

A. 7x- y=51

B. 7x+ y= -47

C. 7x+ y= -14 D. 7x+y= 19

Step-by-step explanation:

Answer:

37

Step-by-step explanation:

I hope I helped have a great day.

A radius of 8.5m what is the area

Answers

Answer:

22/7 * 8.5 * 8.5 = answer

Answer:

Step-by-step explanation:

A = π r² ≈ 3.14 × (8.5)² = 226.865 m²

GIVING OUT BRAINLIST
ASAP

find the sales price:
$89.95 DVD Player, 5% discount.


(Round your number to the nearest cent (hundredths place)

Answers

Sales = 89.95 x .05
= 4.4975

89.95 - 4.4975 = 85.45

The sales price is $85.45.
(Also i love the pfp and username!)

9. Which of the following equations has NO solution?

A. a + 2 = a + 2
B. a = -a + 2
C. a + 2 = a - 2
D. a + a = 2​

Answers

Answer:

C. a +2 = a - 2

Step-by-step explanation:

a + 2 = a - 2

a + 4 = a

4 = 0

Butch wanted to buy a book about football. The book was $25.00 new. His friend Jake
told him to check the used book store. The book was $15.00 used. What percentage
was the book marked down?
OA
60%
О В.
40%
O C.
33%
OD.
25%

Answers

Answer:

B) 40%

10 is 40% of 25.

Answer:

40%

Step-by-step explanation:

Darryl said that -32 and (-3)2 have the same value? Do you agree with Darryl? Yes or no? Explain your response.

Answers

Answer:

Step-by-step explanation:

Yes

Answer:

Step-by-step explanation:

No, I don't agree with Daryl. If you multiply -3 by 2, you will get -6. -6 is not equal to -32, which means that they don't have the same value, so Daryl is wrong.

PLEASE HALP IM TIMES

Answers

Answer:

1,3,4

Step-by-step explanation:

Please need help thank

Answers

183.75 because if you did $1470 then divided it by 8 it would =183.75

y = 3x - 12x +9
In standard form?

Answers

Answer:

y=-9x+9

Step-by-step explanation:

There are only two like terms in the equation which I have underlined.

y= 3x - 12x +9

To simplify it, you combine the like terms and get your equation in standard form.



For f(x) =1/x^2-3

find:

(a) f(3) (3 points)

(b) f(2+h) (3 points)

Answers

Answer:

[tex]f(3) = \frac{-26}{9}[/tex]

[tex]f(2 + h) = \frac{- 11 - 12h - 12^2}{4 + 4h + h^2}[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \frac{1}{x^2} - 3[/tex]

Required

Find f(3) and f(2 + h)

Solving f(3)

Substitute 3 for x in [tex]f(x) = \frac{1}{x^2} - 3[/tex]

[tex]f(3) = \frac{1}{3^2} - 3[/tex]

[tex]f(3) = \frac{1}{9} - 3[/tex]

Take LCM

[tex]f(3) = \frac{1 - 27}{9}[/tex]

[tex]f(3) = \frac{-26}{9}[/tex]

Solving f(2 + h)

Substitute 2 + h for x in [tex]f(x) = \frac{1}{x^2} - 3[/tex]

[tex]f(2 + h) = \frac{1}{(2 + h)^2} - 3[/tex]

[tex]f(2 + h) = \frac{1}{(2 + h)(2 + h)} - 3[/tex]

[tex]f(2 + h) = \frac{1}{4 + 2h + 2h + h^2} - 3[/tex]

[tex]f(2 + h) = \frac{1}{4 + 4h + h^2} - 3[/tex]

Take LCM

[tex]f(2 + h) = \frac{1- 3(4 + 4h + h^2)}{4 + 4h + h^2}[/tex]

[tex]f(2 + h) = \frac{1- 12 - 12h - 12^2}{4 + 4h + h^2}[/tex]

[tex]f(2 + h) = \frac{- 11 - 12h - 12^2}{4 + 4h + h^2}[/tex]

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