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Bess [88]
3 years ago
12

Sketch a graph of f(x)

Mathematics
1 answer:
just olya [345]3 years ago
3 0

Answer:

The graph in the attached figure  

Step-by-step explanation:

we know that

For x\leq -2 -----> the interval is (-∞,-2]

f(x)=-3

For -2 < x \leq 1 -----> the interval is (-2,1]

f(x)=x

For x > 1 -----> the interval is (1,∞)

f(x)=2

The graph in the attached figure

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In the expression 2(4x + 6) = 78, what is the number you divide by at the end to get the answer?
Ilya [14]

Answer:

8

Step-by-step explanation:

first we will just solve the expression 2(4x +6)=78

1. use destributive property with 2(4x + 6)

2*4x=8x

2*6=12

(8x+12)=78

2. now that the expression is simplified down we will subtract 6 by 6 to isolate it  

6-6+=0

78-6=72

3. now we can divide 8x by 8 also divide 78 by 8

8x/8=0

78/8= 9.75

4 0
3 years ago
Use a graphic organizer to compare and contrast similar and congruent figures
Anika [276]
Similar figures are figures of the same shape but different (or same) size.
Thus, they look the same, but one is bigger than the other by a scale factor.

Congruent figures are figures of the same shape AND same size.
They can be mapped onto each other using any type of transformation (besides dilations).

Similar figures can be dilated.
8 0
3 years ago
A man is twice as old as his son. Five years ago, the ratio of their ages was 9:4. Find the son's present age
Sidana [21]

Answer:

Son's age is 25.

Step-by-step explanation:

Let the Father's age be 2x.

Let the son's age be x.

Five years ago:

Man's age will be = 2x - 5

Son's age will be = x - 5

If the ratio of their ages five years ago was 9:4, then:

2x - 5/x-5 = 9/4

⇒ 4(2x - 5) = 9(x - 5)

⇒ 8x - 20 = 9x - 45

⇒ -20 + 45 = 9x - 8x

⇒ 25 = x

∴ x = 25

Hence, the son's age = 25 years

If x = 25, the father's age (2x) will be 2 × 25 = 50 years

7 0
3 years ago
What is the standard form of 3+5x-4x^2<br>and what is the standard form of 8x+x+5+x^3​
harina [27]

Answer:

1. -4x^2 + 5x + 3

2. x^3 + 9x + 5

Step-by-step explanation:

hope this helps

4 0
3 years ago
A hot air balloon is descending at 60m/min. How far does it descend in 25 minutes? Write the integer that describes the change.
Mars2501 [29]
-1500 miles :))))))))
7 0
3 years ago
Read 2 more answers
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