If f(a)=4a-5 what is f(3)-f(1.25)
a. -8
b. 7
c. 17
d. 32

Answer:

a) The perimeter of the rectangle =

= 22 units

b) The area of the rectangle

= 30 square units

Step-by-step explanation:

We solve the above question using the formula

= √(x2 - x1)² + (y2 - y1)²

When we are given vertices (x1, y1) and (x2, y2)

The vertices: (-1, -2), (-6, -2), (-6, -8), (-1, -8)

We have to find the length of the sides

Side A

(-1, -2), (-6, -2)

= √(-6 - (-1))² +( -2 -(-2))²

= √-5² + 0²

= √25

= 5 units

Side B

(-6, -2), (-6, -8)

= √(-6 - (-6))² + (-8 - (-2))²

= √(-6 +6)² + (-8 +2)²

= √0² + -6²

= √36

= 6 units

Side C

(-6, -8), (-1, -8)

= √(-1 - (-6))² +(-8 - (-8))²

= √(-1 + 6)² + (-8 + 8)²

=√ 5² + 0²

= √25

= 5 units

Side D

(-1, -2), (-1, -8)

= √(-1 -(-1))² + (-8 - (-2))²

= √(-1 + 1)² + ( -8 + 2)²

= √0 + -6²

= √0 + 36

= √36

= 6 units

From the above calculation,

Side A = Side C = 5 units

Side B = Side D = 6 units

Hence, this polygon is a quadrilateral called the RECTANGLE.

Therefore:

a) The perimeter of the rectangle =

2L + 2W

= 2(5) + 2(6)

= 10 units + 12 units

= 22 units

b) The area of the rectangle

= Length × Width

= 5 units × 6 units

= 30 square units

Answer: 152.07

Step-by-step explanation:

answer answer

Step-by-step explanation:

I think $ 152.07

Answer:

2 2/4

Step-by-step explanation:

Answer:

he diagram below compares the relative diameters of two planets in our solar system. Which two planets have diameters that most closely resemble this ... Earth (1) varies in distance from the Sun (2) spins on its axis (3) is tilted on its axis

Step-by-step explanation:

Answer:

40 000

Step-by-step explanation:

Find out what the numbers in the equation add up to excluding the box.

343834 - 300000 - 3000 - 800 - 30 - 4 = 40 000

Answer:

40000

Step-by-step explanation:

300000+3000+800+30+4 = 303834

So,

343834-303834 = 40000

Ans = 40000

Answer:

A. 70°

Step-by-step explanation:

Since, TV = TU = 4

[tex] \therefore \: m \angle \: U = m \angle \: V \\(by \: isosceles \: \triangle \: theorem) \\ \because \: m \angle \: V = 70 \degree\\ \\ \therefore \: m \angle \: U = 70 \degree[/tex]

Answer:

3x + 3 = (2x - 4)/5

3x + 3 = 10x - 20

13x - 17

Step-by-step explanation:

Answer: X = 17

Explaination:

Answer:

that is the range of f

Step-by-step explanation:

f is that ..that is f..f is that

Answer:

C. $16.99

Step-by-step explanation:

The shirt cost after the discount will be $16.99. thus option C is correct.

Third party discount is the multiplication result of the maturity value of the original rate to the rate of interest and time period.

Thus, we get:

Third party discount = Maturity value × R × T (R in decimal form).

We have been given that a shirt that normally costs $19.99 is on sale for 15% off. we are asked to find the discount on the shirt.

Therefore,

19.99 x 15/100

19.99 x 0.15 = 2.99

Then subtract from the total amount;

19.99 - 2.99 = 16.99

Therefore, the  shirt cost after the discount will be $16.99. thus option C is correct.

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Answer:

so if it was one hour it would be 100+50

2 hours= 100+100

3=100+ 150

and so on

Step-by-step explanation:

Answer:

20.4 feet

Step-by-step explanation:

Answer:

it will be 7

Step-by-step explanation:

Answer:

x=5.70156211,−0.70156211

Step-by-step explanation:

Answer:

-2054

Step-by-step explanation:

,,...................

Answer:

The car can go 28.75 miles or 115/4 miles or 28*3/4 miles(either one works)

Step-by-step explanation:

Answer:

Waiter’s B Large Smoothies showed less variability.

Step-by-step explanation:

First, we have to find the mean for Waiter A’s and Waiter B’s Large Smoothies.

1) Mean

Waiter A

19.1 + 20.1 + 20.9 + 19.6 + 20.9 + 19.5 + 19.2 + 19.4 + 20.3 + 20.9 = 199.9

199.9 / 10 = 19.99

Waiter B

20.1 + 19.6 + 20.0 + 20.5 + 19.8 + 20.0 + 20.1 + 19.7 + 19.9 + 20.4 = 200.1

200.1 / 10 = 20.01

Now, we have to use the Mean Absolute Deviation (MAD) to find which waiter’s smoothies showed less variability.

Waiter A

I19.99 - 19.1I = 0.89

I19.99 - 20.1I = 0.11

I19.99 - 20.9I = 0.91

I19.99 - 19.6I = 0.39

I19.99 - 20.9I = 0.91

I19.99 - 19.5I = 0.49

I19.99 - 19.2I = 0.79

I19.99 - 19.4I = 0.59

I19.99 - 20.3I = 0.31

I19.99 - 20.9I = 0.91

0.89 + 0.11 + 0.91 + 0.39 + 0.91 + 0.49 + 0.79 + 0.59 + 0.31 + 0.91 = 6.3

6.3 / 10 = 0.63

Waiter B

I20.01 - 20.1I = 0.09

I20.01 - 19.6I = 0.41

I20.01 - 20.0I = 0.01

I20.01 - 20.5I = 0.49

I20.01 - 19.8I = 0.21

I20.01 - 20.0I = 0.01

I20.01 - 20.1I = 0.09

I20.01 - 19.7I = 0.4

I20.1 - 19.9I = 0.2

I20.1 - 20.4I = 0.3

0.09 + 0.41 + 0.01 + 0.49 + 0.21 + 0.01 + 0.09 + 0.4 + 0.2 + 0.3 = 2.2

2.2 / 10 = 0.22

Now, we just have to compare those numbers.

0.63 > 0.22

So, Waiter B’s smoothies show less variability.

Answer:2/34

Step-by-step explanation:

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

[tex]\frac{6}{24}\div\frac{6}{6}=\frac{1}{4}[/tex]

Ans

Step-by-step explanation:]\

To use the simple interest formula, I = Prt, we substitute in the values for ... The money you put in the bank is called the principal, P, and the bank pays ... of t years at an annual interest rate r, the amount of interest, I, earned is ... Nathaly deposited $12,500 in her bank account where it will earn 4% interes

Answer:

1/56 chance

Step-by-step explanation:

3/8 x 2/7 x 1/6 = 1/56

Answer:

45 rupees

Step-by-step explanation:

If the cost of 12 pens is 108 rs, then we need to find the cost for 1 pen. We can divide the 108 rupees by 12 to find the cost per pen. We get 9; now we know that each pen costs 9 rupees and we have 5 pens so 9 times 5 is 45 rupees.

x and y are equal b/c the triangle is isosceles triangle

when we see the angles of the triangle we get 2 equal angles

so to find the value of each variable we've subtract the parallel sides from the angles which means x=180°-45° y=180°-45°

x=75° y=75

b/c of it's isosceles triangle the two sides and angles are equal

Answer:

34

Step-by-step explanation:

$1.25 = 125 cents.

$42 = 4200 cents

Tickets sold at 75 cents = x

Tickets sold at 125 cents = y

x + y = 40

75x + 125y = 4200

Multiply the first equation by 75

75x + 75y = 3000

75x + 125y = 4200

Subtract the the second equation from the first.

75x + 75y = 3000

- 75x + 125y = 4200

-------------------------------

0 - 150y = - 1200

Divide both sides by - 150

-150y/-150 = -1200/-150

y = 8

Substitute y = 8 into the first equation

x + y = 42

x + 8 = 42

x = 42 - 8

x = 34

34 tickets were sold for 75 cents

8 tickets were sold for $1.25

Answer:

Step-by-step explanation:

1. Expression for the amount you would spend on a birthday party at the bowling alley:

2. Expression for the amount you would spend on a birthday party at the skating rink:

3.  Total amount is $50

7 people

4.  Total amount is $50

10 people

Answer:

4) c

6) a, b

7) a

8) b, c

10) I'm not sure but I believe it is C.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

The answer is 17 - (-3) = 20

Step-by-step explanation:

Since the bird was already 17 feet above the water, and he dove 3 feet under, you add them to get the total distance. Anything minus a negative is equivalent to adding it, as the two negatives make a positve.

Answer:

C

Step-by-step explanation:

To divide by fractions, we must multiply by the reciprocal of the fraction itself. 8 times 3/1 or just 8 times 3 is the answer

You would divide 13 by 754=58

Then 58 times 8= 464

So 464 miles