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

The length of a rectangle exceeds its width by 1
inch and the area is 132 square inches. What
are the length and width of the rectangle?

Answers

Answer:

Width equals 11, and length equals 12.

Step-by-step explanation: It is helpful to memorize your multiplication tables up to 12. I personally couldn't figure out a formula for this, but I knew that 12 x 11 equals 132, and the length is greater than the width, so length is 12 and width is 11. Hopefully somebody else can figure it out. P.S. I meant the formula, not the answer, my answer is correct.

Answer:

[tex]l(l - 1) = 132[/tex]

[tex] {l }^{2} - l - 132 = 0 [/tex]

[tex](l - 12)(l + 11) = 0[/tex]

[tex]l = 12 \: or \: l = - 11[/tex]

[tex]length \: must \: be \: postive[/tex]

[tex]integers[/tex]

[tex]l = 12 \: and \: w = l - 1 = 11[/tex]

plato

Twice a number x minus 18

Answers

Step-by-step explanation:

Here is the answer...

Hope this helps you

the sum of the first six terms of a geometric series is 21/16 . if the common ratio is -1/2 , what is the first term?

Answers

Answer:

-84

Step-by-step explanation:

The formula for the nth term of a geometric progression is

Un = ar^n- 1

The sum of the first six terms of a geometric series (U6) = 21/16

Common ratio = -1/2 ,

a = First term ??

21/16 = a × (-1/2 )^6- 1

21/16 = a ×(-2^-1)^5

21/16 = a × -2^-6

Cross Multiply

16 × a × -2^-6 = 21

a = 21/16 × -2^-6

a = 21/16 ×- 1/2⁶

a = 21/16 × -1/64

a = 21 ÷(-1/4)

a = 21 × -4

a = -84

The first term = 84

Use the power property to rewrite log3x9.

Answers

Answer:

[tex]\log _3\left(x^9\right)=9\log _3\left(x\right)[/tex]

Step-by-step explanation:

Given the expression

[tex]\log _3\:x^9[/tex]

now rewriting the expression

[tex]\log _3\:x^9[/tex]

[tex]\mathrm{Apply\:log\:rule\:}\log _a\left(x^b\right)=b\cdot \log _a\left(x\right),\:\quad \mathrm{\:assuming\:}x\:\ge \:0[/tex]

[tex]=9\log _3\left(x\right)[/tex]

Therefore,

[tex]\log _3\left(x^9\right)=9\log _3\left(x\right)[/tex]

Answer:

B

Step-by-step explanation:

edge

what type of angle is 1​

Answers

Answer:

Step-by-step explanation:

A right angle

Each big square below represents one whole,
What percent is represented by the shaded area?
%

Answers

The first square is 100% and the second square is 55% filled in

4+4
[tex]4 + 4[/tex]

Answers

Answer:

4+4 = 8.

Step-by-step explanation:

Or 44, depends on whether you're trolling. XD

Hope this helped...

[tex] \huge \: Your \: answer \: is \: 8[/tex]

1.5.3

6x+7

To solve for the lengths of the right triangle sides, which equation is correct?

A. x² = (4x - 1)² + (6x + 7)?

B. x2 +(6x + 7)2 = (4x - 1)2

c. x² = (4x - 1)² – (6x + 772

D.x² + (4x - 1)2 = (6x + 7)?

4x-1

To solve for the lengths of the right triangle sides, equation is correct.

(Type A, B, C, or D.)

Answers

Answer:

A. [tex]x^2 = (4x - 1)^2 + (6x + 7)^2[/tex]

Step-by-step explanation:

The question seems to be incomplete. However, we'll make the following assumption.

[tex]Opposite = 6x + 7[/tex]

[tex]Adjacent = 4x - 1[/tex]

[tex]Hypothenuse = x[/tex]

Pythagoras theorem states that:

[tex]Hypothenuse^2 = Opposite^2 + Adjacent^2[/tex]

Substitute values for Hypothenuse, Opposite and Adjacent.

This gives

[tex]x^2 = (6x + 7)^2 + (4x - 1)^2[/tex]

or

[tex]x^2 = (4x - 1)^2 + (6x + 7)^2[/tex]

From the list of given options.

A answers the question

5 = 5/8x + 1/2x - 4 with work please :) its due in a couple minutes ​

Answers

Answer:

5/8x+1/2x-4=5

or, 5(2x-4)+8x= 5

or, 10x- 20+8x=5

or, 10x-8x= 20+5

or, 2x= 25

or,x= 25/2

:.x= 25/2

Step-by-step explanation:

first we have to make denominator then we can criss cross multiply. we can make in same point .if there is plus we can subtract and if there is front minus if we take it back it must be plus. then we can put same point then we can divide

Five less than the area of a square is 59 square feet. Find the side length of the square.​

Answers

Answer:

4 feet

Step-by-step explanation:

Let the side length of the square be x feet.

x^2 - 5 = 59

x^2 = 64

x = ±4 (reject - 4 since length > 0)

Topic: Areas of polygons

If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

HELP FAST I NEeD THIS

Answers

Answer:

1. x=7.16304347

2.x=11.2

Step-by-step explanation:

Kelly currently has a checking account balance of $172.14. She makes a deposit of $27.45, and then spends $17.89 on dinner. How much money does she have now? *

Answers

Answer:

126.8 Hope this helps

Will mark as brainliest if correct!

Answers

Answer:

the answer is A

Step-by-step explanation:

48/50 x 100% = 96% of student wearing tennis shoes

100% - 96% = 4% students not wearing tennis shoes

please help with this question will give brainlyest if you get it right
the answer choices are
9 and 22/40
9 and 3/28
10 and 22/40
10 and 11/13
please help!!!!!!!

Answers

We need to first make these improper fractions. 5 = 40/8, so 40/8+6/8 = 46/8. Similarly, 4 = 20/5, so 20/5+4/5=24/5.

So we need to find the value of 46/8+24/5. Multiply the first fraction by 5/5 and second fraction by 8/8 to get the same denominator. We get (46*5+24*8)/8*5 = 422/40. This is equal to 400/40 + 22/40 = 10+22/40.

So the third answer choice is correct.

Hope that helped!

0.01 is blank times as much as 0.001 please answer i will brainliest ​

Answers

Answer:

100

Step-by-step explanation:

10 times as much

0.001 * 10 = 0.01

HELP FAST ITS AN IMAGE

Answers

Answer:

3

Step-by-step explanation:

the answer is 3 because there are three units between each point of the triangle!

explain BRAINLIEST PLZ HELP!!!!100. Given B(-4,-6), under which reflections is B'(4,6)?
a. reflected in the x-axis
b. reflected in the origin
c. reflected in the y-axis
d. reflected in the line y=x

Answers

Under b. reflected in the origin  B(-4, -6) would be B'(4, 6).

What are transformations?

Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.

Dilation: The preimage is scaled up or down to create the image.

Reflection: The picture is a preimage that has been reversed.

Rotation: Around a given point, the preimage is rotated to create the final image.

Translation: The image is translated and moved a fixed amount from the preimage.

Point B(-4, - 6) is given lies on the third quadrant.

Now, If we reflect along y = x it would be (- 6, - 4).

But if we reflect point B(-4, - 6) along the origin it would be B'(4, 6).

learn more about transformations here :

https://brainly.com/question/20954335

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Which of the following pairs of functions are inverses of each other?

Answers

Answer:

The answer is (B).

Step-by-step explanation:

A). y = f(x) = 6(x - 2) + 3 ⇔ y = 6x - 12 + 3 ⇔ 6x = y + 9 ⇔ x = [tex]\frac{y+9}{6}[/tex]

g(x) = [tex]\frac{x+9}{6}[/tex] is inverse function of f(x) and ≠ [tex]\frac{x+2}{6}[/tex] - 3

B). y = f(x) = [tex]\frac{5x}{4}[/tex] - 3 ⇔ 4y = 5x - 12 ⇔ x = [tex]\frac{4y+12}{5}[/tex]  

g(x) = [tex]\frac{4(x + 3)}{5}[/tex] is inverse of f(x)

PLEASE HELP WHO KNOWS THIS?

Answers

Answer:

I don't know how you would submit this but I do know it's a transformation. So you would move it across the x-axis 4 or 5 times depending on the shape. So I would maybe just write out each individual number like 3,4,5

Step-by-step explanation:

All swimming equipment is on sale with a 40% discount. A snorkeling set regularly sells for $45. Find the discount.

Answers

The discount is $18 if the all swimming equipment is on sale with a 40% discount. A snorkeling set regularly sells for $45.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

We have:

All swimming equipment is on sale with a 40% discount. A snorkeling set regularly sells for $45.

The regular price = $45

The discount is worth = 40% of 45

= (40×45)/100

= $18

Thus, the discount is $18 if the all swimming equipment is on sale with a 40% discount. A snorkeling set regularly sells for $45.

Learn more about the percentage here:

brainly.com/question/8011401

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Question 1 of 60
Find an underestimate for 32 x 67 by adjusting each factor down to the next
ten.
A. 2800
B. 2100
C. 1800
D. 2400

Answers

Answer:

2100

Step-by-step explanation:

30 x 70 = 2100

32 rounds to 30. 67 rounds to 70.

Answer:

[tex]2100[/tex]

Step-by-step explanation:

Estimate:

Change numbers 32 and 67 to the next factor:

[tex]30 and 70[/tex]

Multiply together:

[tex]2100[/tex]

So your answer is B:

[tex]2100[/tex]

Let the function f be defined by f(x) = 12 -5x


4. Is it true that f(0) = 0?


5. Explain why or why not?

ILL MARK YOU BRAINLIEST if you answer xx

Answers

4. It is not true
5. This is because if you substitute f(0) the equation would be f(x) = 12-0 or f(x) = 12
Hope this helps, if it does can I get brainliest ?

which model represents a fraction greater than 3/5? ​

Answers

Answer:

The last one is your answer :))

Step-by-step explanation:

Answer:

Blue circle.

Step-by-step explanation:

I hope it helps, if my answer is correct, please give BRAINLEST!

3x+14=2(2x-3), steps to solve

Answers

Answer:

20

Step-by-step explanation:

3x+14=2(2x-3)

3x+14=4x-6

3x-4x=-6-14

-x=-20

X=20

So the valueof X is 20

11/8 * 1/9 pls help​

Answers

Answer:

11/72

Step-by-step explanation:

[tex] \frac{11 \times 1}{8 \times 9} = \frac{11}{72} [/tex]

please help me!!!!!!!!!!​

Answers

Answer:

HFHBEHFBHEHHEHHHHH

Step-by-step explanation:

Write the equation in slope-intercept form.
- 4x – 10y = -7

Answers

Answer:

The answer will be in the form y=mx+b

y= - [tex]\frac{2}{5}[/tex] x + [tex]\frac{7}{10}[/tex]

Brainliest please

The equation of a line is an algebraic form of representing the set of points, which together form a line in a coordinate system.

The equation of -4x - 10y = -7 in slope-intercept form is

y = (-2/5)x + (-7/10)

What is slope intercept form?

The equation of a line is an algebraic form of representing the set of points, which together form a line in a coordinate system.

The equation of a line in slope intercept form is given by:

y = mx + c

m = slope

c = y-intercept

We have,

-4x - 10y = -7

Add 4x on both sides.

-4x - 10y + 4x = 7 + 4x

-10y = 7 + 4x

Multiply -1/10 on both sides.

y = -1/10 ( 7 + 4x )

y = -7/10 - (4/10)x

y = (-2/5)x + (-7/10)

Thus the equation of -4x - 10y = -7 in slope-intercept form is

y = (-2/5)x + (-7/10)

Learn more about the equation of a line here:

https://brainly.com/question/21298390

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Mandy has an annual salary of $37,580. Each month she has a car payment of $265 and a student loan of $120. If she applies for a home loan, how likely is it Mandy will be approved based on her debt-to-income ratio?

Answers

Answer: Not likely; recurring debt is higher than what is allowed.

Step-by-step explanation:

The options are:

a. Very likely; recurring debt is less than what is allowed.

b. Somewhat likely; recurring debt is equal to what is allowed.

c. Not likely; recurring debt is higher than what is allowed.

d. There is not enough information given to determine the answer.

Annual salary = $37,580

Car loan payment annually = $265 × 12 = $3180

Annual student loan= $120 × 12 = $1440

Annual loan payment will be:

= $3180 + $1440

= $4620

Based on the above, Mandy is already paying 12.3% (4620 / 37580)× 100 as loan every month. Coupled with the fact that he'll still have some amount to pay as loan every month, he won't be given as the recurring loan is higher than what will be allowed.

Answer:

c. Not likely; recurring debt is higher than what is allowed.

Step-by-step explanation:

got it right

2. What number is equal to five units + three tenths? Circle the correct answer.
0.53
0.35
5.3
3.5
53
35

Answers

Answer:

35

Step-by-step explanation:

5*1+3*10

5+30 = 35

helpppppp pleaseeeee

Answers

Answer:

A: 24

B: 40.04

Step-by-step explanation:

A=L*W

8*3=24

5.2*7.7=40.04

part a is 8(3)=24 units² and part b is 5.2(7.7)=40.04 units²
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