All categories

3 years ago

16. write an inequality for each graph

Mathematics

1 answer:

Harrizon [31]3 years ago

7 0

Answer:

Question 16

(a) x < 1 : the values of x are smaller than than 1 (e.g. possible values are 0, -1, -2, etc) and since the circle is not shaded it means that 1 isn't a possible value of x

(b) x $\geq$ -2 : the circle is filled therefore -2 is included in the answer

Question 17

(a) unfilled dot above -2 and arrow pointing to the left

(b) shaded circle above 4 with and arrow pointing to the right →

You might be interested in

10y-50=<br> 10y−50=<br> \,\,-20<br> −20

densk [106]

Answer:

Therefore the value of 'y' is,

$y=3$

Step-by-step explanation:

Given:

$10y-50=-20$

To Find:

y= ?

Solution:

$10y-50=-20$ ........Given

Step 1. Adding 50 to both the side we get

$10y-50+50=-20+50\\10y=30$

Step 2. Dividing by 10 on both the side we get

$\dfrac{10y}{10}=\dfrac{30}{10}\\\\y=3$

Therefore the value of 'y' is,

$y=3$

6 0

3 years ago

What is 1/4 in the exponent of 3?

zimovet [89]

Answer:

1/4 to the 3rd power is 0.015625

Step-by-step explanation:

Im assuming that is what your asking, you worded it a little differently. When you figure out what the value of something is based on the power it is raised to, you multiply that number by itself the amount of the exponent.

1/4 x 1/4 x 1/4 = 0.015625

5 0

3 years ago

1) What is the solution of the given system?

m_a_m_a [10]

Answer:

1 x=-2.5 y = -5.5

2. x=5 y=1

Step-by-step explanation:

1) What is the solution of the given system?

5x-y=-7

3x-y=-2

Multiply the second equation by -1

-1*(3x-y)=-1(-2)

-3x +y = 2

Now add the first equation to the modified second equation

5x-y=-7

-3x +y = 2

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

2x = -5

Divide each side by 2

2x/2 = -5/2

x = -2.5

Now we need to find y

-3x+y =2

-3(-2.5) +y =2

7.5 +y =2

Subtract 7.5 from each side

7.5 -7.5 +y =2-7.5

y = -5.5

2) what is the solution of the given system?

5x+7y=32

8x+6y=46

Divide the second equation by 2

8x/2+6y/2=46/2

4x+3y =23

Multiply the first equation by 4

4 (5x+7y)=32*4

20x+28y = 128

Now multiply the modified 2nd equation by -5

-5(4x+3y )=-5(23 )

-20x -15y = -115

Lets add the new equations together to eliminate x

20x+28y = 128

-20x -15y = -115

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

13y = 13

Divide each side by 13

13y/13 =13/13

y=1

Now substitute back in to find x

5x+7y=32

5x +7(1) =32

5x +7 =32

Subtract 7 from each side

5x+7-7 =32-7

5x =25

Divide by 5

5x/5 =25/5

x=5

3 0

4 years ago

Alvin is 15 years younger than Elga. The sum of their ages is 49. What is Elga's age?

Anvisha [2.4K]

Answer:

Step-by-step explanation:

Suppose Alvin is x years old. Then Elga is x+15 years old.

x+x+15=49

2x=34

x=17

17+15=32

7 0

3 years ago

Solve each equation by factoring <br> 4) 4n? +n - 16=-2

Novosadov [1.4K]

Answer:

n=14/5

Step-by-step explanation:

4n+n-16=-2

We move all terms to the left:

4n+n-16-(-2)=0

We add all the numbers together, and all the variables

5n-14=0

We move all terms containing n to the left, all other terms to the right

5n=14

n=14/5

4 0

3 years ago