Which is the graph of linear inequality 2y > x-2?

[tex]y = \frac{28}{5} [/tex]

Answer:

[tex]y=5.6[/tex] or [tex]y=28/5[/tex]

Step-by-step explanation:

4/5 = y/7

⇒ Cross multiply:

4 × 7 = 5 × y

⇒ Multiply 4 × 7 & 5 × y:

[tex]28=5y[/tex]

⇒ Solve the formed equation:

[tex]28=5y[/tex]

⇒ Move all the terms containing y to the right side and the other values to the left side:

⇒ Add '-5y' to each side of the equation:

[tex]28+-5y=5y+-5y[/tex]

⇒ Combine like terms: [tex]5y+-5y=0[/tex]

[tex]28+-5y=0[/tex]

⇒ Add '-28' to each side of the equation:

[tex]28+-28+-5y=0+-28[/tex]

⇒ Combine like terms: [tex]28+-28=0[/tex]

[tex]0+-5y=0+-28[/tex]

[tex]-5y=0+-28[/tex]

⇒ Combine like terms: [tex]0+-28=-28[/tex]

[tex]-5y=-28[/tex]

⇒ Divide each side by '-5':

[tex]y=5.6[/tex] or [tex]y=28/5[/tex]

hope this helps :)

Answer:

False

Step-by-step explanation:

3(2x - 1) = 6(1 + 1)

Distribute

6x -3 = 6(2)

6x -3 = 12

Add 3 to each side

6x  =15

x = 15/6

There is one solution

Answer:

False.

Step-by-step explanation:

3(2x - 1) = 6 (1+1)

3*2x - 3*1 = 6*2

6x - 3 = 12

Add 3 to both side

6x = 12+ 3

6x = 15

Divide both sides by 6

x = 15/6

x = 2.5

This equation has one solution

Step-by-step explanation:

I cannot see all the answer options.

square garden, side length x.

area = x² (or x×x)

new area r = (x-p)(x+q) = x² - px + qx - pq =

= x² + (q - p)x - pq

3D printer. costs p in general.

makes x figurines.

material per figurine costs q.

costs per figurine r = q + p/x

as the printer costs themselves need to be distributed equally across all produced figurines.

investment account. q% pretty year.

p dollars starting balance.

letting it sit for x years.

a0 = p

a1 = a0 + a0×q/100 = a0 × (1 + q/100)

a2 = a1 + a1×q/100 = a1×(1 + q/100) = a0×(1 + q/100)²

a3 = a2 + a2×q/100 = a2×(1 + q/100) = a0×(1 + q/100)³

...

ax = a0×(1 + q/100) to the power of x =

= p × (1 + q/100) to the power of x

account without interest. p dollars are already in it.

adding q dollars every month for x months.

balance after these x months

r = x×q + p = q×x + p

Answer:

36

Step-by-step explanation:

summation of all the outcome

There are 36 possible outcomes is shows in table for rolling two  six - sided number cubes.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

The table shows all the possible outcomes for rolling two six - sided number cubes.

Now, We know that;

For rolling one six - sided number cubes,

There is 6 possible outcomes.

Hence, For two six - sided number cubes.

Number of possible outcomes = 6 × 6

                                               = 36

Thus, There are 36 possible outcomes is shows in table for rolling two  six - sided number cubes.

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ7

Answer:

15000 cm^2

Step-by-step explanation:

Area is found by multiplying the length and width. 250 cm times 60 cm equals 15000 cm squared.

Step-by-step explanation:

by the given information it seems to be the chalkboard is rectangular so the area of rectangle is = length × breadth..

So, 250cm×60cm

=15,000cm² is the Area

Answer:

it's can be anything from 1 to infinite.

Answer:

Hope this helps.

Answer:

[tex]\Delta y = A[/tex] (Amplitude) (Correct answer: 1)

[tex]\omega = B[/tex] (Angular frequency) (Correct answer: 2)

[tex]x_{o} = C[/tex] (Phase shift) (Correct answer: 3)

[tex]y_{o} = D[/tex] (Vertical shift) (Correct answer: 4)

[tex]\frac{2\pi}{\omega} = \frac{2\pi}{B}[/tex] (Period) (Correct answer: 5)

Step-by-step explanation:

The general form of a sinusoidal function is represented by the following characteristics:

[tex]y = \Delta y \cdot \sin \omega\cdot (x- x_{o}) + y_{o}[/tex] (1)

Where:

[tex]\Delta y[/tex] - Amplitude.

[tex]\omega[/tex] - Angular frequency.

[tex]x_{o}[/tex] - Phase shift.

[tex]y_{o}[/tex] - Vertical shift.

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

In addition, we know that the period associated with the sinusoidal function ([tex]T[/tex]) is:

[tex]T = \frac{2\pi}{\omega}[/tex]

By direct comparison, we get the following conclusions:

[tex]\Delta y = A[/tex] (Amplitude) (Correct answer: 1)

[tex]\omega = B[/tex] (Angular frequency) (Correct answer: 2)

[tex]x_{o} = C[/tex] (Phase shift) (Correct answer: 3)

[tex]y_{o} = D[/tex] (Vertical shift) (Correct answer: 4)

[tex]\frac{2\pi}{\omega} = \frac{2\pi}{B}[/tex] (Period) (Correct answer: 5)

Step-by-step explanation:

everything can be found in the picture

Answer:

Area = 4600m

explanation: I worked it out in the image attached if that helps let me know if you need a more in depth explanation step by step

Answer:

244280

Step-by-step explanation:

you divide it into three rectangles so you have three diffenet products of 6480+57800+180000 to get 244280

Answer: one solution

this is all i know

Answer:

D

Step-by-step explanation:

Given

1 - [tex]\frac{1}{2}[/tex] (6x - 4) = 3(1 - x) ← distribute parenthesis on both sides

1 - 3x + 2 = 3 - 3x

3 - 3x = 3 - 3x

Since both sides of the equation are the same , then

This indicates the equation has infinitely many solutions.

Answer:

83%

Step-by-step explanation:

Percentage of cars driven by man = total percentage - percentage of car driven by women

= 100-17

= 83%

Answer:

1 -1

2-4

3-9

4-16

5-25

6-36

7-49

8-64

9-81

10-100

11-121

12-144

Those are the first 12

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

(9*4) + (6*2)

36 + 12

= 48

Step-by-step explanation:

no:questions=15

correct questions =9

marks for correct answers =9×4=36

incorrect answers=6

marks for incorrect answers =(-2)×6=(-12)

full marks =36 - (-12)

=36 + 12

=48

Answer:

The minimum is -4

Step-by-step explanation:

The minimum is the lowest point on the parabola

It is at (-3,-4)

The y value is the minimum of the function

The minimum is -4

Answer:

[tex]1) y=\frac{1}{2} x+1[/tex]

[tex]2)y=-x-1[/tex]

[tex]3)y=-\frac{1}{2} -3[/tex]

Step-by-step explanation:

Hope this helps

Answer:

0, 0.5, 8/3, root 5, 3.1

Answer:

4

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

I got it correct on a test

Answer:

-2, -1, 0, 1, 2,

Step-by-step explanation

Divide the whole thing by 4.

You will have -2 [tex]\leq[/tex] n < 3

The only values that fit range from -2 to 2.

Answer:

positive charge...............

Step-by-step explanation:

hope it is helpful to you

Step-by-step explanation:

{(-10)-(-15)÷5}

-10+15÷5

-10+3

= -7

Answer:

-4+8+-16+32+-64+128 = 84

Step-by-step explanation:

The fifth and sixth terms are -64 and 128

Answer:

Circumference! it's the major arc whose starting and ending point coincide.

Answer:

Area = 97.4 cm²

Step-by-step explanation:

a = 15 cm

        [tex]Area = \frac{ \sqrt 3}{4} a^2\\[/tex]

                 [tex]=\frac{\sqrt 3}{ 4 } \times 15^2\\\\=\frac{\sqrt 3}{ 4 } \times 225\\\\= 97.4 \ cm^2[/tex]

Answer:

Step-by-step explanation:

C

Answer:

c

Step-by-step explanation:

Whole part = 2

Fractional part = 59/396

======================================================

Work Shown:

3 & 3/5 = 3 + 3/5

3 & 3/5 = 15/5 + 3/5

3 & 3/5 = 18/5

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

4 & 8/9 = 4 + 8/9

4 & 8/9 = 36/9 + 8/9

4 & 8/9 = 44/9

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

Now apply the rule that 1/(A/B) = B/A. We apply the reciprocal to the fraction A/B to get B/A

That means something like 1/(18/5) becomes 5/18

Also, 1 over (44/9) becomes 9/44

1 over (3/5) becomes 5/3

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

We now have the following:

(5/18) + (9/44) + (5/3)

We'll come back to this later. But first need the LCD, which means we need the LCM of the denominators.

Write out the prime factorization of each denominator

The unique prime factors are: 2, 3, 11

The LCM is 2^2*3^3*11^1 = 1188, which is also the LCD

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

We need to get each fraction to have the LCD

5/18 = (5/18)*(66/66) = 330/1188

9/44 = (9/44)*(27/27) = 243/1188

5/3 = (5/3)*(396/396) = 1980/1188

We can now add the fractions like so

(5/18) + (9/44) + (5/3)

(330/1188) + (243/1188) + (1980/1188)

(330+243+1980)/1188

2553/1188

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

We're almost done. We just need to convert to a mixed number, aka mixed fraction

Using a calculator or long division, you should find that

2553/1188 = 2.1489898989899

approximately. Focus just on the stuff to the left of the decimal point. That's the whole part of the answer.

We can then say: 2553-1188*2 = 177

This forms the numerator of the fractional part. The denominator stays at the LCD 1188

That forms the fraction 177/1188. Divide both parts of that fraction by 3 to fully reduce it. You should get to 59/396

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

So that's how we end up with the mixed number 2 & 59/396

Answer:

sinC = [tex]\frac{4\sqrt{41} }{41}[/tex]

Step-by-step explanation:

We require to find the side DE before finding sinC

Using Pythagoras' identity in the right triangle

DE² + CE² = CD²

DE² + 5² = ([tex]\sqrt{41}[/tex] )²

DE² + 25 = 41 ( subtract 25 from both sides )

DE² = 16 ( take the square root of both sides )

DE = [tex]\sqrt{16}[/tex] = 4 , then

sinC = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{DE}{CD}[/tex] = [tex]\frac{4}{\sqrt{41} }[/tex] , rationalise the denominator

sinC = [tex]\frac{4}{\sqrt{41} }[/tex] × [tex]\frac{\sqrt{41} }{\sqrt{41} }[/tex] = [tex]\frac{4\sqrt{41} }{41}[/tex]