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frozen [14]
3 years ago
9

Can someone help me find the domain and range of this graph?​

Mathematics
1 answer:
arlik [135]3 years ago
5 0

Answer:

Domain: (-5, 6]

Range: [-3, 6]

Step-by-step explanation:

Domain is all x-values that can be inputted into function f(x).

Range is all the y-values outputted by function f(x) when we plug in <em>x</em>.

We see that our x-values span from -5 to 6. Since -5 is a open dot, we cannot input -5. Therefore, we have:

Domain: (-5, 6]

Parenthesis on -5 shows that it is not included and bracket on 6 shows it is included.

We see that our y-values span from -3 to 6. Since both points are closed dots, we can include both. Therefore, we have:

Range: [-3, 6]

Brackets on both numbers signify that both values are included in the graph.

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Is 2y+4=2(y+2) one solution or no solution?
Olegator [25]
2y+4=2(y+2)
2y+4=2y+4
4=4
so the answer is all real numbers or infinite solutions
8 0
3 years ago
Dmitri needs 6 liters of a 16% solution of sulfuric acid for a research project in molecular biology. He has two supplies of sul
mylen [45]

Answer:

4 litres of 12% solution

2 litre of 24% solution

Step-by-step explanation:

Let the 12% solution = l

Let the 24% solution = h

Dimitri needs a total of 6 litres of both :

l + h = 6 - - - - - - - - (1)

He needs a mixture of both volumes of both to give a 16% volume

12%l + 24%h = 16% * 6

0.12l + 0.24h = 0.96 ----(2)

From (1)

l + h = 6;

l = 6 - h

Substitute l =6-h into (2)

0.12(6 - h) + 0.24h = 0.96

0.72 - 0.12h + 0.24h = 0.96

0.72 + 0.12h = 0.96

0.12h = 0.96 - 0.72

0.12h = 0.24

h = 0.24 / 0.12

h = 2

From ;

l = 6 - h

l = 6 - 2

l = 4

5 0
3 years ago
The volume of a rectangular prism is 180cm3. If the length of the prism is 6m and the height is 5 cm, what is the width of the p
Sliva [168]
Hello!

To find the volume of a rectangular prism you use the equation

V = lhw

v is volume
l is length
h is height
w is width

Put in the values you know

180 = 6 * 5 * w

Divide both sides by 6

30 = 5 * w

Divide both sides by 5

6 = w

Answer is 6cm

Hope this helps!
3 0
3 years ago
I need help with square roots of fractions!
devlian [24]
We have that
8=2*2*2
108=2*2*3*3*3
then
√(8/108)=√(2*2*2)/(2*2*3*3*3)=√(2)/(3*3*3)=(1/3)*√(2/3)

the answer is (1/3)*√(2/3)
6 0
3 years ago
What is the area of the triangle?<br> A. 35 cm<br> B. 35 cm2<br> C. 17.5 cm2<br> D. 17.5 cm
Ostrovityanka [42]

Answer:

C

Step-by-step explanation:

Area of the triangle is cm^2 which makes A and D not true.

Formula

Area = 1/2 * b  * h

b = 7

h = 5

Area = 1/2 * 7 * 5

Area = 1/2 35

Area = 17.5 cm^2

7 0
3 years ago
Read 2 more answers
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