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2 years ago

5 - x/3 for x = -3 Evaluate the expression

1 answer:

6 0

The answer is 6. When x is -3 then you divide -3 by 3 and the quotient is -1. So 5-(-1) is also equal to 5+1 which equals 6

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Work out the length of the following rectangles

tiny-mole [99]

(a) a = 10.9 cm

(b) b = 20.78 cm

(c) c = 4.06 cm

<u>Explanation:</u>

(a)

height, h = 5cm

Hypotenuse, H = 12cm

Base, a = ?

Using pythagoras theorm:

(H)² = (h)² + (a)²

(12)² = (5)² + (a)²

119 = a²

a = 10.9 cm

(b)

Hypotenuse, H = 24 cm

Base, a = 12 cm

Height, b = ?

Using pythagoras theorm:

(H)² = (b)² + (a)²

(24)² = (b)² + (12)²

432 = b²

b = 20.78 cm

(c)

height, h = 4 cm

Hypotenuse, H = 5.7 cm

Base, c = ?

Using pythagoras theorm:

(H)² = (h)² + (c)²

(5.7)² = (4)² + (c)²

16.49 = c²

c = 4.06 cm

8 0

3 years ago

6. Enuanuel was speaking with a friend from another country. His friend told

Kaylis [27]

I believe 62 because it it’s closer to an hour

5 0

3 years ago

FedEx will ship the Olympic medals from the producer to Japan. Each medal weighs 0.5 kilograms. A box carries 6 medals. If FedEx

kherson [118]

Answer:

Step-by-step explanation:

weight of medals:

30 (0,5) = 15 kg

cost of 5 kg:

28/2 = 14

cost of shipping:

14+28=42

6 0

2 years ago

Can I get some help we just started this today

Alja [10]

Answer:

-2

Step-by-step explanation:

The slope of a line tells us how y responds to a change in x. If the slope is 2, it means that for every time x increases by 1, will will go up by 2.

We can calculate slope from a line, or with two given points. I used points (0,4) and (3,-2). Slope is the "Rise/Run."

The Rise: (-2 - 4) = -6

The Run: (3 - 0) = 3

Slope = Rise/Run = (-6/3) = -2

6 0

2 years ago

Monthly rent at Lake View Apartments has increased annually and is modeled by the exponential equation y = 2,400(1.04)x. What is

AfilCa [17]

Answer:

The percent increase per year is 4%

Step-by-step explanation:

we have

$y=2,400(1.04^x)$

This is a exponential function of the form

$y=a(b^x)$

where

y represent the monthly rent at Lake View Apartments

x represent the number of years

a is the initial value (y-intercept)

b is the base

r is the rate or percent increase

$b=(1+r)$

The percent increase per year is the base of the exponential function decreased by 1.

$r=b-1$

In this problem we have

$a=\$2,400$ ---> initial value

$b=1.04\\r=1.04-1=0.04=4\%$

Therefore

The percent increase per year is 4%

7 0

3 years ago