The origin is contained in the solution set for this system of inequalities
y< 2x + 4
y> -2x - 2
Select one:
O True
O False

Answers

Answer 1

Answer:

  O True

Step-by-step explanation:

If we substitute (x, y) = (0, 0) into both inequalities, we have ...

  0 < 2·0 +4   ⇒   0 < 4 . . . true

  0 > -2·0 -2   ⇒   0 > -2 . . . true

The point (0, 0) satisfies both inequalities, so is contained in the solution set.


Related Questions

10 people have pink cups. then 5 of those 10 people got red cups and threw the pink cups away. how many people have pink cups?⇒⇒

Answers

Answer:

5 people have pink cups

Step-by-step explanation:

10-5=5

:D

Answer:

5

Step-by-step explanation:

10-5=5

^--^

Find the 96th term of the arithmetic sequence -16, -28, -40, ...

Answers

Answer:

1124.

Step-by-step explanation:

The common difference (d)   is -16 - (-28) = 12,  ( also -28 - (-40) = 12).

The nth term of an A.S.  is a1 + d(n - 1)  where a1 = first term, d=common difference.

so the 96th term of the given A.S. is:

-16 + 12(96 - 1)

= -16 + 12*95

= 1124.

-1156Answer:

Step-by-step explanation:

Un grup de ciclistes han de fer una excursió a una casa rural que es troba a 72 quilòmetres del seu poble. El primer dia recorren 2/3 del camí. El segon dia recorren 1/4 del camí i el tercer dia arriben a la casa rural. Calcula els quilòmetres que recorren cada dia.

Answers

Answer:

29.76 milles

11.16 milles

44.64 milles

Step-by-step explanation:

Van haver de fer una excursió a una casa rural que està a 72 quilòmetres del seu poble.

El primer dia viatgen 2/3 de camí. Aquest dia, van viatjar:

2/3 * 72 = 48 quilòmetres

En el segon dia viatgen 1/4 de camí. Aquest dia, van viatjar:

1/4 * 72 = 18 quilòmetres

A el tercer dia arriben a la casa de camp. Aquest dia, van viatjar 72 quilòmetres.

Hem de convertir cada un d'ells en milles.

1 km = 0.62 milles

El primer dia:

48 km = 0.62 * 48 = 29.76 milles

El segon dia:

18 km = 0.62 * 18 = 11.16 milles

El tercer dia:

72 km = 0.62 * 72 = 44.64 milles

Pls answer i will mark as branliest

Answers

The answer is 80 degrees reason being corresponding angles
Hope it helped!!!!

Answer:

Part A:

x = 80 degrees

Part B:

A => Corresponding Angles (They correspond to each other)

Hope This Helps!

Don't hesitate asking anything regarding this!

Find the Y-intercept of the line graph. (Please help!)

Answers

Answer:

-2

Step-by-step explanation:

The y intercept is where the graph crosses the y axis. The graph crosses the y axis at (0, -2), so the y intercept is -2.

The y intercept is useful in slope intercept form, (y=mx+b), where b is the y intercept.

Answer: -2

Step-by-step explanation: The y-intercept of a graph is where the graph crosses or intersects the y-axis.

Notice that the graph shown here hits the y-axis at -2.

So the y-intercept of this graph is -2.

Which is equivalent to (9 y squared minus 4 x)(9 y squared + 4 x), and what type of special product is it?

Answers

Answer:

[tex](9y^2-4x)\,(9y^2+4x)=81y^4-16x^2[/tex]

and it is the special factor product that leads to a difference of squares

Step-by-step explanation:

The product: [tex](9y^2-4x)\,(9y^2+4x)[/tex]

is a product of the form:

[tex](a-b)\,(a+b) = a^2-b^2[/tex]

which leads as shown to a difference of squares. So they binomials [tex](a-b)[/tex] and [tex](a+b)[/tex]  are the factors of the difference of squares [tex]a^2-b^2[/tex].

In our case, the product:

[tex](9y^2-4x)\,(9y^2+4x)= (9y^2)^2-(4x)^2=81y^4-16x^2[/tex]

Answer:

B

Step-by-step explanation:

Using the graphing method, which of the following choices is the
solution of system: 3y = x-9
y = -x + 1

Answers

Answer:

y=x_1 is the solution of system

if the perimeter of regular hexagon is 10 cm, what is the radius of the circle curcumscribing the polygon?​

Answers

Answer:

60

Step-by-step explanation:

hexagon is 6 sided shape. 10 * 6=60

Square OABC is drawn on a centimetre grid. O is (0,0) A is (2,0) B is (2,2) C is (0,2) Write down how many invariant points there are on the perimeter of the square when OABC is rotated 90 degrees clockwise, centre (2,0).

Answers

Answer:

One invariant point;

Point A = (2, 0)

Step-by-step explanation:

The coordinates of the square vertices are;

O = (0, 0)

A = (2, 0)

B = (2, 2)

C = (0, 2)

Therefore, we have by 90° clockwise rotation;

O' = (2, 2)

A' = (2, 0)

B' = (4, 0)

C' = (2, 4)

Therefore, since only A' (2, 0) = A (2, 0), we have only one invariant point on the perimeter of the square when it is rotated 90° about the center (2, 0) which is the point A = (2, 0).

The area of a rectangle, A = l • w is represented by the expression 24x6y15. Which could be the dimensions of the rectangle?

Answers

Answer:

l=[tex]24\*x^{6}[/tex]

w=[tex]y^{15}[/tex]

Step-by-step explanation:

We know that the area of rectangle can be determined by the multiply the length to the width i.e

A = l • w..................Eq(1)

Here A represented the area .

l=  Length of rectangle

w= Width of rectangle

Here A= [tex]24x^{6} y^{15}[/tex]...

It can be written as [tex]A= 24x^{6} \ *y^{15}[/tex]..............Eq(2)

Comparing the Eq(2) to the Eq(1)

[tex]l=24x^{6}\\ w=y^{15}[/tex]

Answer:

the right answer A. 2x^5y^8 and 12xy^7

Step-by-step explanation:

The expression below is a sum of cubes.
64x3 + 125
O A. True
O B. False

Answers

Answer:

true it's A....

Answer:

A

Step-by-step explanation:

64x³ + 125

∛(64x³ + 125)

= 4x + 5

The expression is a sum of cubes.

Melinda and Paula shovel driveways and sidewalks in the winter as a way to earn extra money. Together they shoveled 450 square feet of sidewalk in 30 minutes. Then Melinda shoveled for 20 minutes while Paula shoveled for 25 minutes to complete 345 square feet of driveway. 30x + 30y = 450 20x + 25y = 345 How much more can Paula shovel in 1 minute than Melinda?

Answers

Answer:

3 more square feet.

Step-by-step explanation:

x = The amount Melinda can shovel in 1 minute

y = The amount Paula can shovel in 1 minute

So make two equations:

30(x + y) = 450       x + y = 15       x = 15 - y

20x + 25y = 345     4x + 5y = 69

Plug in:

4(15 - y) + 5y = 69

60 - 4y + 5y = 69

y = 9

x = 6

9 - 6 = 3

Answer:

Answer is A

Step-by-step explanation:

Took it on Edg.

Order The numbers from least to greatest

0.453, 0.35, 4/5

Answers

Answer:

Step-by-step explanation:

0.35

0.453

4/5

Select all angle measures for which sin(∅) = - ( (√2) /2)

a) 3π/4
b) 5π/4
c) 7π/4
d) 9π/4
e) 13π/4

I do not understand the steps to take, thank you for any help

Answers

Answer:

b) 5π/4

c) 7π/4

e) 13π/4

Step-by-step explanation:

sin θ = -½√2

There's really no algebra to be done here.  There are two ways you can solve.  One, you can use a calculator.  Two, you can memorize your unit circle.

Either way, it helps to draw the unit circle.  sin θ is the y coordinate, so you're looking for points on the circle where y = -½√2.  This happens at two places: θ = 5π/4 and 7π/4.

Next, we need to check the options that are greater than 2π.

9π/4 is the same as π/4.

13π/4 is the same as 5π/4.

So the three correct answers are 5π/4, 7π/4, and 13π/4.

Answer:

B

C

D

Step-by-step explanation:

Solve for X
A) 9
B) 16
C) 4

Answers

Answer:

B) 16

Step-by-step explanation:

8/x= cos 608/x= 1/2x= 8*2x= 16

Answer:

B. 16

Step-by-step explanation:

CAH = Adjacent/Hypotenuse

cos60=8/x

xcos60=8

x= 8/cos60

x=8/0.5

x= 16

What is the numerical solution to the equation five less than three times a number equals four more than eight times the numbers?
A. -9/5
B. 1/11
C. -1/5
D. 1/5

Answers

Answer:

Option A

Step-by-step explanation:

Let us first consider the equation at hand. We are given that this equation is as follows, five less than three times a number equals four more than eight times the numbers. Convert this into a numerical format;

[tex]3x - 5 = 4 + 8x[/tex]

where x = " the number "

[tex]3x - 5 = 4 + 8x,\\- 5 = 4 + 5x,\\- 9 = 5x,\\\\x = - 9 / 5 \\\\Solution - Option A[/tex]

If you wish, take a look at this verbal explanation. To solve the equation 3x - 5 = 4 + 8x, one would first subtract 3x on either side of the equation, resulting in the simplified equation - 5 = 4 + 5x. Subtracting - 4 from either side, - 5 - 4 = - 9, and so we receive - 9 = 5x. Dividing 5 on either side, x = - 9 / 5, Option A.

The Naturally Made Bath and Body store pays $550 a month for rent and utilities. The average cost for its products to be manufactured is about $3.00 an item. If the average price for a product sold in the store is $5.50, what will the break-even point be? Let x represent the number of products sold. The break-even point occurs when the cost function equals the revenue function. 550 + 3.00x = 5.50x Naturally Made needs to sell products to break even. The cost or revenue when it sells the break-even number of products will be $

Answers

Answer:

220 products need to be sold to break it even.

Step-by-step explanation:

550 + 3.00x = 5.50x

550 = 2.50x

220 = x

you need 220 products

What is the length of segment GH?

Answers

Answer:

4√5

Step-by-step explanation:

Distance formula: [tex]d = \sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]

Coordinates given:

H(8, 1)

G(0, -3)

d = [tex]\sqrt{(8-0)^2 + (1+3)^2}[/tex] = 4√5

Answer:

StartRoot 80 EndRoot

80 square root is the answer

Step-by-step explanation:

|GH|² = (8 - 0)² + (1 - (-3))²

|GH|² = 64 + 16

|GH|² = 80

GH = sqrt(80)

pls mark as brainliest

The distance between points (1, 2) and (x 1 ,y 1 ) is the square root of (x 1 -1)^ 2 +(y 1 -2)^ 2

Answers

Answer:

True

Step-by-step explanation:

The distance between the given points is [tex]\sqrt{(x_{1}-1 )^{2}-(y_{1}-2 )^{2} }[/tex].

The given points are  (1, 2) and [tex](x_{1} , y_{1})[/tex] .

We to find the distance between the given points.

What is the formula to find the distance between points?

The formula to find the distance between points is [tex]\sqrt{(x_{1}-x_{2} )^{2}-(y_{1}-y_{2} )^{2} }[/tex].

Now, [tex]\sqrt{(x_{1}-1 )^{2}-(y_{1}-2 )^{2} }[/tex]

Therefore, the distance between the given points is [tex]\sqrt{(x_{1}-1 )^{2}-(y_{1}-2 )^{2} }[/tex].

To learn more about the distance between the points visit:

https://brainly.com/question/15958176.

#SPJ2

When you multiply a function by -1 what is the effect on its graph?

Answers

Answer:

Step-by-step explanation:

Depends on what you mean by multiplying by - 1.  I assume you are not going to multiply the y or f(x) term by - 1.

If that is so, take an example. Suppose you have a graph that is y=x^2

That's a parabola that opens upwards and it has a line going through its focus which is a point on the +y axis.

When you multiply the right hand side by - 1, the graph you get will be y = - x^2.

That opens downward and the focus is on the - y axis.

That means that the effect of the graph is that it flips over the x axis, which I think is the third answer.

Answer:

c

Step-by-step explanation:

ape x

which words have vertical symmetry for all of the letters in the word?

Answers

Answer:

palindromes

Step-by-step explanation:

palindromes are spelled the same forward and backward, thus have vertical symmetry.

Really need help :( struggling

Answers

Answer:

B

Step-by-step explanation:

The original amount will be the coefficient of (1 + 0.04)^r which is $728.00.

The profit ,P dollars, earned by students at a high school selling boxes of chocolates is approximated to be P= -60x^2+600x , where x dollars is the selling price of one box of chocolates. What selling price gives the maximum profit?

Answers

Answer:

Selling price of 5 gives the maximum profit

Step-by-step explanation:

What we do here is to find the first derivative, since at maximum points, the profit will be set to zero.

Mathematically, we have;

dp/dx = -120x + 600

We now equate this to zero

0 = -120x + 600

120x = 600

x = 600/120

x = 5

What is the equation that is perpendicular to the line y=2x-3 and passes through the point (-6,5)? Show all of your work. y = 2x + 17 y = 1/2x + 8 y = -2x - 7 y = -1/2x + 2

Answers

Answer:

y = -1/2x + 2

Step-by-step explanation:

If two lines are perpendicular then the product of their slopes are -1

m1*m2 = -1

where m1 amd m2 is slope of two lines.

_______________________________________

Given line

y = 2x-3\

it is in form of y = mx+c (slope intercept form)

where m is slope and c is y intercept

Thus, slope of line  y = 2x-3 is 2

Now we know that product of two lines are -1

let m be slope of other line

then m*2 = -1

m = -1/2

thus, slope of required line is -1/2

let the line be y = mx+c but m = -1/2

thus

y = -1/2 x + c

given that point(-6,5) lies on it

we use -6 in plca of x and 5 in place of y

5 = -1/2 *-6 + c

=>5 = 3 +c

=> c = 5-3 = 2

Thus, equation that is perpendicular to the line y=2x-3 and passes through the point (-6,5) is y = -1/2x + 2

Solve log x = 4. x = 4 x = 40 x = 1,000 x = 10,000

Answers

Answer:

x = 10000

Step-by-step explanation:

log x = 4

Raise each side to the base of 10

10^log x = 10 ^4

x = 10 ^4

x = 10000

Answer:

x = 10,000

Step-by-step explanation:

I got it right on the test.

Solve for x h(x)=−7x ; h(x)=63

Answers

Answer:

x = -9

Step-by-step explanation:

-7x = 63

Divide -7 into both sides.

-7x/-7 = 63/-7

x = 63/-7

x = -9

Put x as -9 in the function to check.

h(x) = -7x

h(-9) = -7(-9)

h(-9) = 63

Answer:

x = -9

Step-by-step explanation:

h(x)=−7x ; h(x)=63

Set the two equal

-7x = 63

Divide by -7

-7x/-7 = 63/-7

x = -9

Please help me I've been stuck on this for a bit

Answers

Answer:

A=1.5 units²

Step-by-step explanation:

a²+b²=c²

2.5²+1.5²=c²

a²+2.25=6.25

a²=4.00

a=2

A=1/2 x b x h

A=1/2 x 1.5 x 2

A=1.5 units²

Answer:

1.5

Step-by-step explanation:

Use the pythagorean theorem.  a^2+b^2=c^2.  a and b are the legs, or the shorter sides of the triangle.  If you don't know which ones are shorter, just know that c is opposite of the right angle which is 2.5 in this case.  So c is 2.5 and a is 1.5.  Now you plug the values into the equation

1.5^2+b^2=2.5^2

2.25+b^2= 6.25 .Simplify the equation

b^2= 4 .Subtract 2.25 from both sides.

b= 2.  Square root both sides.  

Based on the picture, a is the base and b is the height.  The area of a triangle is 1/2(bh) .You already know the base and height you you plug it in again

1/2(1.5*2)= 1/2(3)= 1.5  

Given the function f(x) = –0.5|2x + 2| + 1, for what values of x is f(x) = 6? x = 6, x = –5 x = 5, x = –5 x = 7, x = –6 no solution

Answers

Answer:

Step-by-step explanation:

This is our absolute function for which we are tasked with finding the values of x that make the whole thing equal 6:

-.5 | 2x + 2 | + 1 = 6. Subtracting 1 from both sides gives us

-.5 | 2x + 2 | = 5. Dividing both sides by -.5 gives us

| 2x + 2 | = -10.

Because absolute value is in fact a distance measure, and one of the 2 things in math that will NEVER be negative is distance, there is no solution to this equation.

Answer:

no solution

Step-by-step explanation:

This is our absolute function for which we are tasked with finding the values of x that make the whole thing equal 6:

-.5 | 2x + 2 | + 1 = 6. Subtracting 1 from both sides gives us

-.5 | 2x + 2 | = 5. Dividing both sides by -.5 gives us

| 2x + 2 | = -10.

Because absolute value is in fact a distance measure, and one of the 2 things in math that will NEVER be negative

Write -1/19, 7/4, -4/7 from least to greatest

Answers

Answer:

-4/7, -1/19, 7/4

Step-by-step explanation:

The fractions converted into decimals would be -0.05, 1.75, -0.57

Which is the scale factor of the dilation?

Answers

Answer:

needs more information!

Step-by-step explanation:

need more information

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