All categories

3 years ago

The function h(x) is defined as shown.

Mathematics

2 answers:

pav-90 [236]3 years ago

6 0

1. For x<3, h(x)=x+2

now x+2 is an increasing line (a practical way to check, h(1)=3, h(2)=4)

the largest value it takes is at 3, not inclusive, so h(3)=5 not inclusive.

Range_1= (-∞, 5)

2. for x> or equal to 3, h(x)=-x+8, which is a decreasing line (check h(4)=4, h(5)=3 )

so this line takes its maximal value at x=3, f(3)=5 and then takes any other value to -∞.

Range_2=(-∞,5]

3. Range(h)=Range1∪Range2=(-∞, 5)∪(-∞,5]=(-∞,5] (B)

Yuri [45]3 years ago

5 0

Answer:

Step-by-step explanation:

oh yeh

You might be interested in

WILL GIVE CROWN THINGY

Mama L [17]

Answer: Water molecules are attracted to each other due to hydrogen bonding.

Step-by-step explanation: Water molecules bind to the other water molecules surrounding it. The hydrogen bonds holding the molecules together results in water’s relatively high surface tension.

4 0

3 years ago

OPQR is a rectangle with vertices P(8,0), Q(8,6) and R. O is the origin. Calculate the perimeter of rectangle OPQR.

Elan Coil [88]

Answer:

28 units

Step-by-step explanation:

<h3>Given</h3>

<u>Rectangle OPQR with points of:</u>

P(8,0), Q(8,6), O (0, 0)

<h3>Solution</h3>

<u>We can plot the points and see that the sides measure:</u>

PQ = 6 - 0 = 6
OQ = 8 - 0 = 8

<u>So the perimeter is:</u>

2(6 + 8) = 28

7 0

3 years ago

Find x for the equation: (2 + x)(7 – x)/(5 – x)(4 + x) = 1

Nataly [62]

Answer:

x=−4.350480,−1.669843,7.020324

Step-by-step explanation:

Step 1: Multiply both sides by -x+5.

−x3+x2+34x+56=−x+5

−x3+x2+34x+56−(−x+5)=−x+5−(−x+5)(Subtract -x+5 from both sides)

−x3+x2+35x+51=0

(Use cubic formula)

x=−4.35048,−1.669844,7.020324

Check answers. (Plug them in to make sure they work.)

x=7.020324(Works in original equation)

x=−4.35048(Works in original equation)

x=−1.669844(Works in original equation)

4 0

4 years ago

Help please I NEED TO PASS :(((((

adoni [48]

Answer:

The answer should be C

Step-by-step explanation:

I just got done calculating it and according to my calculations it should be C

5 0

3 years ago

I need help with this problem, the picture is attached below. Select the following numbers that cannot represent the area of a p

UkoKoshka [18]

Answer:

-200, 0 and -5

Step-by-step explanation:

Area can never be zero or negative.

7 0

4 years ago