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marta [7]
3 years ago
13

Misae says that a step graph does not represent a function because the graph is not connected. Alex says that it does represent

a function because there is only one y for every x. Who is correct and why?
Mathematics
2 answers:
madreJ [45]3 years ago
8 0

Answer:

Alex is correct

Step-by-step explanation:


MrRa [10]3 years ago
6 0
Answer:  "Alex" is correct, because Alex's explanation:
_______________________________________________________
<span>"because there is only one y for every x" ; 
_______________________________________________________
is the definition of a "function" .
_______________________________________________________</span>
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Factor the expression completely.<br> 625x4 - 256y4
scoundrel [369]

<u>Answer:</u>

<u>(625 • (x4)) -  28y4</u>

<u></u>

<u>  54x4 -  28y4 3.1      Factoring:  625x4-256y4  </u>

<u> </u>

<u>Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B) </u>

<u> </u>

<u>Proof :  (A+B) • (A-B) = </u>

<u>         A2 - AB + BA - B2 = </u>

<u>         A2 - AB + AB - B2 = </u>

<u>         A2 - B2Note :  AB = BA is the commutative property of multiplication. </u>

<u> </u>

<u>Note :  - AB + AB equals zero and is therefore eliminated from the expression. </u>

<u> </u>

<u>Check :  625  is the square of  25  </u>

<u>Check : 256 is the square of 16 </u>

<u>Check :  x4  is the square of  x2  </u>

<u> </u>

<u>Check :  y4  is the square of  y2  </u>

<u> </u>

<u>Factorization is :       (25x2 + 16y2)  •  (25x2 - 16y2)  3.2      Factoring:  25x2 - 16y2  </u>

<u> </u>

<u>Check :  25  is the square of  5  </u>

<u>Check : 16 is the square of 4 </u>

<u>Check :  x2  is the square of  x1  </u>

<u> </u>

<u>Check :  y2  is the square of  y1  </u>

<u> </u>

<u>Factorization is :       (5x + 4y)  •  (5x - 4y)this is the answer: (25x2 + 16y2) •(5x + 4y) • (5x - 4y)</u>

5 0
3 years ago
Sam is delivering two refrigerators that each weigh 105 kilograms there is an elevator with a weight limit of 1,00 pounds
rosijanka [135]

Question:

Sam is delivering two refrigerators that each weigh 105 kilograms. There is an

elevator with a weight limit of 1,000 pounds. Can he take both refrigerators on the

elevator in one trip? (1 kilogram 2.2 pounds)

Answer: yes he can

Step-by-step explanation:

Yes he can.

He can if the total weight of the 2 refrigerator didn't exceed the weight limit of the elevator.

Therefore:

Since 1 refrigerator weigh 105kg

2 refrigerator = 2 x 105kg = 210kg

The weight limit of the elevator 1000pounds convert to kg.

Since

2.2 pounds = 1kg

1000 pounds = 1000/2.2 kg

=454.55kg

Weight limit of the elevator = 454.55kg.

Since Weight of the 2 refrigerator is less than

weight limit of the elevator, he can take both refrigerators on the elevator in one trip

5 0
2 years ago
The taxi cost $2.25 for the first mile plus 15 Cents for each additional tenth of a mile. For a 5.2-mile trip, Eric paid $10 and
k0ka [10]
2.25x15= blah blah blah, and boom there is your answer
4 0
2 years ago
Jacob decided to ride his bicycle across the country during his 2-month summer vacation. the route he took from washington, dc t
Artist 52 [7]

Step 1: Assign variable for the unknown that we need to find.

Let ' x ' be the number of miles traveled by Jacob so far (His distance from starting point)

Step 2: Use the sentence given to set up an equation

Sentence 1: "His distance from his starting point was exactly 100 miles more than three times the distance remaining until the finishing point"

Total distance is 2800 miles, if his distance from the starting point is 'x', then remaining distance can be represented by 2800 - x.

Using the sentence we can write the below equation...

x = 100 + 3(2800 - x)

Distributing 3 in the right side of the equation, we get...

x = 100 + 8400 - 3x

Adding 3x on both sides of the equation, we get...

x+3x = 8500

Combine like terms in the left side of the equation, we get...

4x=8500

Dividing 4 on both sides of the equation, we get...

\frac{4x}{4} =\frac{8500}{4}

Simplifying the fraction on either side of the equation, we get...

x=2125miles

Conclusion:

Out of the 2800 miles, Jacob travelled a distance of 2125 miles and remaining miles that he need to cover will be <u>675 miles</u>.

3 0
2 years ago
Nola purchased 2.5 pounds of cheese for $10.50. Her mother purchased 3 pounds of the same cheese for $12.60. The cost of cheese
spayn [35]

12.6-10.5=2.1(1.5 pounds) 2.1 divided by 3 = 0.7x2= 1.4 Therefore one pound of cheese is £1.40
8 0
3 years ago
Read 2 more answers
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