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2 years ago

I need to evaluate h(3)

Mathematics

1 answer:

Natali5045456 [20]2 years ago

8 0

Answer:

h(3) = - 1

Step-by-step explanation:

To evaluate h(3), that is x = 3 in the interval x ≥ 1 , then

h(x) = - x + 2 , thus

h(3) = - 3 + 2 = - 1

Then h(3) = - 1

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The perimeter of rectangle ABCD is 256 inches. Its length is 3 times as long as its width. Find the area of triangle ABC.

Oliga [24]

Answer:

$\large\boxed{A_\triangle==1,536\ in^2}$

Step-by-step explanation:

The formula of a perimeter of a rectangle:

$P=2(l+w)$

The formula of an area of a rectangle:

$A=lw$

l - lenght

w - width

We have l = 3w and the perimeter P = 256 in. Substitute:

$2(3w+w)=256$ divide both sides by 2

$4w=128$ divide both sides by 4

$w=32\ in\to l=3(32)=96\ in$

Calculate the area of a rectangle:

$A=(96)(32)=3,072\ in^2$

The triangle ABC is the half of the rectangle. Therefore the area of a triangle ABC is:

$A_\triangle=\dfrac{3,072}{2}=1,536\ in^2$

5 0

3 years ago

6. Charlie can spend up to $8 on lunch. He wants to buy a tuna sandwich, a bottle of

PilotLPTM [1.2K]

Answer:

The maximum number of pounds of potato salad that Charlie can buy is 0.375

Step-by-step explanation:

see the attached figure to better understand the problem

Let

a ----> the cost of one tuna sandwich

b ----> the cost of a bottle of apple juice

c ----> the cost per pound of potato salad

x ----> pounds of potato salad

we have

$a=\$4.25$

$b=\$2.25$

$c=\$4.00/lb$

we know that

He wants to buy a tuna sandwich, a bottle of apple juice, and x pounds of potato salad and can spend up to $8

The inequality that represent this situation is

$a+b+cx \leq 8$

substitute the given values

$4.25+2.25+4.00x \leq 8$

Solve for x

Combine like terms

$6.50+4.00x \leq 8$

Subtract 6.50 both sides

$4.00x \leq 8-6.50$

$4.00x \leq 1.50$

Divide by 4 both sides

$x \leq 1.50/4.00$

$x \leq 0.375\ lbs$

therefore

The maximum number of pounds of potato salad that Charlie can buy is 0.375

3 0

3 years ago

Find the perimeter of the given rectangle: 5x - 9 by 7

amid [387]

Answer:

x=12.6

Step-by-step explanation:

5x -9 / 7

5x= -9x7

5x= -63

x= -63/5 = -12.6

x= -12.6

5 0

2 years ago

14 25/100 answer please as a decimal number

shusha [124]

Answer:

14.25

Step-by-step explanation:

14 is the hole number and for the decimal part all you have to do is 25÷100

3 0

3 years ago

Read 2 more answers

Simplify the following expressions. (x^-8/y^11)^-2 Please

kobusy [5.1K]

Answer:

y ^22 x ^16

hope this helps

3 0

3 years ago