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Volgvan
2 years ago
9

On a coordinate plane, triangles A B C and D E F are shown. Triangle A B C has points (4, 2), (7, 2), (4, 6). Triangle D E F has

points (negative 2, negative 1), (4, negative 3), and (4, negative 1).
How do the areas of triangle ABC and DEF compare?

The area of △ABC is 1 square unit less than the area of △DEF.
The area of △ABC is equal to the area of △DEF.
The area of △ABC is 1 square unit greater than the area of △DEF.
The area of △ABC is 2 square units greater than the area of △DEF.
Mathematics
2 answers:
dolphi86 [110]2 years ago
8 0

Answer:

A

Step-by-step explanation:

got it right on edge

guajiro [1.7K]2 years ago
3 0

Answer:

A

Step-by-step explanation:

I just did it

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Lin has 13 coins in her pocket that equal 40 cents. All the coins are dimes, d, and pennies, p. Which combination of coins does
Luden [163]
To answer this question you should begin with the coin that has a higher value.  If you start with the dime and then just add the correct number of pennies to total $0.40, you will see that you will need 3 dimes ($0.30) and 10 pennies ($0.10).  

I used a guess and check strategy starting with 2 dimes.
7 0
2 years ago
Read 2 more answers
A carpool service has 2,000 daily riders. A one-way ticket costs $5.00. The service estimates that for each $1.00 increase to th
solmaris [256]

Answer:

Total number of riders that ride on carpool daily = 2000

Total Cost of one way ticket = $ 5.00

Total Amount earned if 2000 passengers rides daily on carpool = 2000 × 5

                                                                                                            = $10,000

If fare increases by $ 1.00

New fare = $5 + $1    

               = $6

Number of passengers riding on carpool = 2,000 - 100 = 1,900

If 1,900 passengers rides on carpool daily , total amount earned ,if cost of each ticket is $ 6 = 1900 × $6 = $11400

As we have to find the inequality which represents the values of x that would allow the carpool service to have revenue of at least $12,000.

For $ 1 increase in fare = (2,000 - 1 × 100) passengers

For $ x increase in fare, number of passengers = 2,000 - 100·x

                                                         = (2,000 - 100·x) passengers

New fare = 5 + x

New Fare × Final Number of passengers ≥ 12,000

(5+x)·(2,000 - 100 x) ≥ 12,000

5 (2,000 - 100 x) + x(2,000 - 100 x) ≥ 12,000

10,000 - 500 x + 2,000 x - 100 x² ≥ 12,000

100 - 5 x + 20 x - x² ≥ 120

- x² + 15 x +100 - 120 ≥ 0

-x² + 15 x -20 ≥ 0

x² - 15 x + 20 ≤ 0

⇒ x = 1.495

x ≥ $ 1.495, that is if we increase the fare by this amount or more than this the revenue will be at least 12,000 or more .

Also, f'(x) = 0 gives x = 7.5

⇒ The price of a one-way ticket that will maximize revenue is $7.50

7 0
2 years ago
Is it possible for an odd function to have the interval 0 infinity) as its domain?
mojhsa [17]

NO!

Prove by contradiction. First, define the the following terms:

odd function: f(-x) = -f(x)] and domain: all values of x

Proof: Suppose there f(-x) = -f(x) such that x is a negative integer, then f(-x) is a positive number <em>(-(-x) = +x)</em> and -f(x) is a negative number <em>(negative of a positive number is a negative number). </em>Since a positive number cannot equal a negative number, then this is not possible.

Answer: No

3 0
2 years ago
Read 2 more answers
In a (blank),one ratio compares a part to a whole
Verdich [7]

Answer:

In a part-to-whole ratio, one ratio compares a part to a whole.

3 0
2 years ago
Question
monitta

Answer:

927,154\ people

Step-by-step explanation:

we have a exponential function of the form

y=a(b^x)

where

y is the population of San Francisco

x is the number of years

a is the initial population

b is the base

r is the rate of grown

b=(1+r)

In this problem we have

r=1.26\%=1.26/100=0.0126

b=1+0.0126=1.0126

ordered pair (6, 870,887)

substitute in the exponential function y=a(b^x)

870,887=a(1.0126^6)

Solve for a

a=870,887/(1.0126^6)

a=807,857\ people

so

The exponential function is equal to

y=807,857(1.0126^x)

In 5 more years the number of years will be equal to

6+5=11 years

For x=11 years

substitute the value of x in the exponential function and solve for y

y=807,857(1.0126^{11})

y=927,154\ people

6 0
2 years ago
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