3 years ago

Write a quadratic equation with the given transformations from the parent function y = x2

Mathematics

1 answer:

klemol [59]3 years ago

4 0

Answer:

Step-by-step explanation:

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Graph the line given by x+y=-2 and the quadratic curve given by y=x²-4. Find all solutions to the system of equations. Verify yo

ycow [4]

Answer:

(1,-3) and (-2,0)

Step-by-step explanation:

$x+y=-2$

$y=x^2-4$

Applying the second equation to the first

$x+x^2-4=-2\\\Rightarrow x+x^2-4+2=0\\\Rightarrow x^2+x-2=0$

Solving the equation we get

$x=\frac{-1+\sqrt{1^2-4\cdot \:1\left(-2\right)}}{2\cdot \:1}, \frac{-1-\sqrt{1^2-4\cdot \:1\left(-2\right)}}{2\cdot \:1}\\\Rightarrow x=1, -2$

When x = 1

$y=-2-1\\\Rightarrow y=-3$

When x = -2

$y=-2-(-2)\\\Rightarrow y=0$

So, the line and curve will intersect at points (1,-3) and (-2,0)

5 0

3 years ago

5. A carton of ice cream holds 5 cups of ice cream. One serving of ice cream is 1 cups.

Anna35 [415]

Answer:

5 servings

Step-by-step explanation:

1 serving is 1 cup so 5 servings is 5 cups

4 0

2 years ago

Find the value of 3√8

Leni [432]

Answer:

8.49

Step-by-step explanation:

4 0

3 years ago

A square has an area of 64 m². What is the length of each side?

anygoal [31]

Answer:

Step-by-step explanation:

The area of a square is length*width.

We can square root the area to get the length of each side. Since the shape is a <em>square</em>, the lengths are the same.

$\sqrt{64}$ =8

One side is <u>8m</u>.

7 0

3 years ago

What is this! I will mark u as branilyst

stellarik [79]

The answer is -6

because the triangle angles must measure to 180 and the scalene triangle states that the base angles add up to 86. Subtract 86 from 100, you get 94. Angle two is 94. 94-100=x

3 0

3 years ago