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Elenna [48]
3 years ago
8

The parabola y=x^2 is shifted up by 4 units , what is the equation of the new parabola

Mathematics
1 answer:
Gekata [30.6K]3 years ago
5 0

Answer:

y= (x^2)+4

Step-by-step explanation:

If outside of the parentheses, the function can move up or down. So, by adding 4 to the function/parabola, you shift the equation up by 4 units.

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How many solutions does 0.75(x+40)=0.35(x+20)+0.35(x+20) have?
Neporo4naja [7]
Only one because there is one variable and the combined coefficients of x are non-zero.
(0.75(x+40)=0.70(x+20), 0.05x=14-30=-16, x=-320)
4 0
3 years ago
Read 2 more answers
Endpoint 1: (-1,2)<br> Midpoint: (9,-6)<br> Endpoint 2=
Vlad [161]

Answer:

(19 , -14)

Step-by-step explanation:

Find the distance in between each x & y for a coordinate.

Let: (x₁ , y₁) = (-1 , 2)

Let: (x₂ , y₂) = (9 , -6)

From x₁ ⇒ x₂: 9 - (-1) = 10

From y₁ ⇒ y₂: -6 - 2 = -8 = 8*

*Remember that distance cannot be negative, but for the sake of this question, we will leave it as -8.

The distance between the x points are in intervals of 10. The distance between the y points are in intervals of 8. Add 10 & subtract 8 to their respective numbers to get endpoint 2:

(9 (+ 10) , -6 (- 8)) = (19 , -14)

Endpoint 2 = (19 , -14)

~

7 0
3 years ago
Solve the system by substitution.<br> y = –2x + 18<br> y = -4x<br> HURRY PLEASE
Irina-Kira [14]

Answer:

x = -9

Step-by-step explanation:

x = -y/4

y = -2(-y/4) + 18

y = y/2 + 18

y/2 = 18

y = 36

x = -36/4

x = -9

5 0
2 years ago
Which ratio is equivalent to 3/15
Rzqust [24]

Answer:

Step-by-step explanation:

The ratio of 6:30 would be equivalent to it.

4 0
3 years ago
a store is having a sale on walnuts and chocolate chips. for 3 pounds of walnuts and 5 pounds of chocolate chips, the total cost
Step2247 [10]

Answer:

  • Walnuts - $1.25, chocolate chips - $3.25

Step-by-step explanation:

Let walnuts = x, chocolate chips = y

<u>Set a system and solve:</u>

  • 3x + 5y = 20
  • 6x + 2y = 14

<u>Double the first equation and subtract the second one from it:</u>

  • 6x + 10y - 6x - 2y = 40 - 14
  • 8y = 26
  • y = 26/8
  • y = 3.25

<u>Find the value of x:</u>

  • 6x + 3.25*2 = 14
  • 6x = 14 - 6.5
  • 6x = 7.5
  • x = 7.5/6
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7 0
2 years ago
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