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Ksivusya [100]
2 years ago
12

Which graph represents the PARENT function of y = x2 - 5?

Mathematics
2 answers:
Ivan2 years ago
7 0

y =  {x}^{2}

sineoko [7]2 years ago
5 0

The parent function is y = x^2

Shifting this graph down five units leads to the graph of y = x^2 - 5

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A recipe for sparkling grape juice calls for 1 1/2 quarts of sparkling water 3/4 quart of grape juice. Q1: How much sparkling wa
kogti [31]

Answer:

1) 18 Quart of Sparkling water need to mix with 9 quart grape juice

2) 15/2  Quart of grape juice required for 15/4 quarts of sparkling water.

3) Quantity of grape juice  and  sparkling water in 100 quart of punch are 33 1/3 quart  and 66 2/3 quart respectively.

Step-by-step explanation:

1 1/2 quarts = 1 + (1/2) = 3/2 quarts

1)  water required for 3/4 quart of grape juice =  3/2 quarts

so water required for 1 quart of grape juice = (3/2) ÷ (3/4) = (3/2)× (4/3) = 2 quarts

so water required for 9 quart of grape juice = 9 * 2 = 18 quart

18 Quart of Sparkling water need to mix with 9 quart grape juice

2) From solution of 1 ,

   For 18 quart of Sparkling water , grape juice require = 9 quart

   So for 1 quart of Sparkling water , grape juice require = 9÷18 = 1/2 Quart

   so for 15/4 quart of Sparkling water ,  grape juice require = 1/2 × 15/4 =

15/2  Quart of grape juice required for 15/4 quarts of sparkling water.

3)

in 1 we calculated that 18 Quart of Sparkling water need to mix with 9 quart grape juice that is 2 quart of Sparkling water need to mix with 1 quart of grape juice.

In other words 1 quart of grape juice + 2 quart of sparkling water is 3 quart of punch.

Quantity of Grape juice in 3 quart of punch = 1 quart

so quantity of grape juice in 1 quart of punch = 1/3 quart

And quantity of grape juice in 100 quart of punch = 100×(1/3) = 100/3 =

33 1/3

Quantity of sparkling water in 3 quart of punch = 2 quart

so quantity of sparkling water  in 1 quart of punch = 2/3 quart

And quantity of sparkling water  in 100 quart of punch = 100 ×2/3 quart = 66 2/3


 


     


3 0
3 years ago
What is the area of a circle with a radius of 6 inches?<br>​
lapo4ka [179]

Answer:

idk

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
18. The yearly attendance at a local restaurant is 54,200 and grows continuously at a rate of 7.2% each year. What is the approx
Eva8 [605]

Answer:

233,394

Step-by-step explanation:

8 0
2 years ago
Help asap plssssssssss
Kryger [21]

Step-by-step explanation:

distance AB is (using Pythagoras with the coordinate differences between both points as sides and the distance as Hypotenuse = baseline of the triangle, the side opposite of the 90 degree angle):

distance² = (5 - -10)² + (7-2)² = 15² + 5² = 225 + 25 = 250

distance = sqrt(250)

to split this distance into a 3/2 ratio, we need actually 3+2=5 equal parts. and then AM gets 3 off these parts, and MB gets 2 of these parts.

so,

distance/5 = sqrt(250)/5 = sqrt(250/25) = sqrt(10)

so,

AM = 3×sqrt(10) = sqrt(90),

and

MB = 2×sqrt(10) = sqrt(40)

now, we need to calculate back using the same Pythagoras approach (calling the coordinates of M xm and ym)

AM² = (xm - -10)² + (ym - 2)² = (xm+10)² + (ym-2)² = 90

90 = xm² + 20xm + 100 + ym² - 4ym + 4

MB² = (5 - xm)² + (7 - ym)² = 40

40 = 25 - 10xm + xm² + 49 - 14ym + ym²

as a first approach we calculate AM² - MB²

90 = xm² + 20xm + ym² - 4ym + 104

- 40 = xm² - 10xm + ym² - 14ym + 74

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

50 = 0 + 30xm + 0 + 10ym + 30

20 = 30xm + 10ym

2 = 3xm + ym

ym = 2 - 3xm

this we use now e.g. in the first equation for AM.

90 = xm² + 20xm + (2-3xm)² - 4×(2-3xm) + 104

-14 = xm² + 20xm + 4 - 12xm + 9xm² - 8 + 12xm

-10 = 10xm² + 20xm

-1 = xm² + 2xm

xm² + 2xm + 1 = 0

solving such a squared equation

xm = (-b ± sqrt(b² - 4ac))/(2a)

a = 1

b = 2

c = 1

xm = (-2 ± sqrt(4 - 4))/2 = -1

only one combined solution (as a squared equation usually has 2 solutions).

ym = 2 - 3xm = 2 - 3×-1 = 2 + 3 = 5

so, M = (-1, 5)

8 0
2 years ago
the larger of two numbers is twice the smaller. if the larger is x what is the smalller. I NEED HELP PLSSS!!
Zarrin [17]

Answer:

Easy. The smaller is x/2.

Step-by-step explanation:

2 times is larger, so larger divided by 2 is the smaller.

8 0
3 years ago
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