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Allushta [10]
3 years ago
8

Graph the quadratic functions y = -2x^2 and y = -2x^2 + 4 on a separate piece of paper. Using those graphs, compare and contrast

the shape and position of the graphs.
I know that since both functions are quadratic functions, they will both have a parabola shape.

Mathematics
1 answer:
Wewaii [24]3 years ago
3 0
The second function has a graph that is identical to that of the first function, except that it is shifted upward by 4 units.

_____
The thrust of this question is to get you to recognize that adding a constant to a function shifts its graph in the amount and direction of the constant value (positive ⇒ upward).

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Given: DEFG is a rhombus Prove: DEG FGE Write a proof that triangle DEG is congruent to triangle FGE using the above information
attashe74 [19]
Please read the attached file

4 0
4 years ago
River raft rentals are $7 per hour plus a deposit fee of $25 per person. Write an expression for the total cost of renting a raf
madreJ [45]
7h+25
7 for each hour plus 25 per person


4 0
4 years ago
You want to study at the Hogwarts School of Witchcraft and Wizardry after three years. You need 910910 pieces of muggle-money to
Sonja [21]

Answer:

<em>You should deposit 700 pieces today if you want to use the total amount to pay the fees.</em>

Step-by-step explanation:

Suppose, you should deposit P number of pieces today.

<u>Formula for simple interest</u>:    I= P*r*t , where I = Amount of interest, P= Initial deposit amount, r= rate of interest in decimal form and t= time duration.

Here, the P number of pieces is deposited at an annual interest rate of  10% for three years. That means,  r= 10\%= 0.10 and t= 3

Using the above formula, we will get.......

I= P*0.10*3 = 0.3P

Given that, <u>you need total 910 pieces </u>of muggle-money to study after three years. So, the equation will be......

P+I= 910\\ \\ P+0.3P=910\\ \\ 1.3P=910\\ \\ P=\frac{910}{1.3}=700

So, you should deposit 700 pieces today if you want to use the total amount to pay the fees.

6 0
3 years ago
A video game is on sale at Amazon for 30% off the original price of $28.50. Both Pat and Henri want to purchase the game, but th
DanielleElmas [232]

Answer:

Step-by-step explanation:

Explanation:

Step one:

The original price of the video game= $28.5

Cash at hand= $22

Discount= 30%

Tax= 10%

1. Pat's strategy

Amount discounted

=30/100*28.5

=0.3*28.5

=$8.55

28.5-8.55

=$19.95

Amount of tax added

=10/100*28.5

=0.01*28.5

=2.85

=17.15+2.85

=$22.8

Hence going by Pat's strategy, the total amount to be paid is

=$22.8

2. Henri's strategy

=70/100*28.5

=0.70*28.5

=$19.95

110% of $28.5

=110/100*28.5

=1.1*28.5

=$31.35

the tax is

31.35-28.5

=$2.85

i. Hence by Henri's strategy, the sales price with tax is

=19.95+2.85

=$22.8

ii. Yes Pat's strategy will compute the correct total,

   30% of $28.5 is $8.55 which is the amount to be deducted as a discount

   10% of $28.5 is $2.85 which is the amount to be added as tax

    Hence the total amount to be paid is $22.8

iii  Yes Henri's strategy also gave the correct total

  70% of 28.5 is $19.95

  110% of 28.5 of tax is the same as adding 10% of 28.5 to 28.5

   = 31.35, substracting the original price we got the tax added

    which is $2.85

iv. No, they both don't have enough money to purchase the video game,

  because they only have $22and the game is to be sold for $22.8

5 0
3 years ago
What is a when:<br> 13.2-a=2.9<br><br> ?<br> a=?????
jenyasd209 [6]

Answer:

Step-by-step explanation:

13.2-a=2.9subtract 2.9 from both sides and add a to both sides

a=10.3

7 0
3 years ago
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