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4 years ago

can someone please tell me the equation for the word problem it substitution method . worth 20 points.

Mathematics

1 answer:

-Dominant- [34]4 years ago

4 0

Larger:x Smaller:y

x=2y-5

x=-4y+7

x=2y-5=-4y+7

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determine the equation of the parabola (simplified) with roots -3+sqrt6 and -3-sqrt6, and passing through the point (-1,4)

klio [65]

Given:

Roots:

$\begin{gathered} -3+\sqrt[]{6} \\ -3-\sqrt[]{6} \end{gathered}$

Point: (-1,4)

To determine the equation of the parabola with the given roots and point, we find the missing values first.

Since the roots are given, we can say that the equation is:

$y=a(x+3-\sqrt[]{6})(x+3+\sqrt[]{6})$

Next, we expand the terms.

$y=a(x^2+6x+3)$

Then, we plug in x= -1, and y=4 into the equation to get the value of a.

$\begin{gathered} y=a(x^2+6x+3) \\ 4=a((-1)^2+6(-1)+3) \\ \text{Simplify and rearrange} \\ 4=a(-2) \\ a=\frac{4}{-2} \\ a=-2 \end{gathered}$

So,

$undefined$

6 0

2 years ago

Solve for k.<br>7k - 2 ≥ -9

Akimi4 [234]

Answer: k ≥ -1

Step-by-step explanation:

7k - 2 ≥ -9

add two to both sides

7k ≥ -7

k ≥ -1

6 0

4 years ago

Read 2 more answers

Shoes cost $80 they are discounted at 40% off.The tax is 6.75%.What is the final cost of the shoes.

Brilliant_brown [7]

You have to turn the percent into a decimal to do the math.

80 * .40 = 32 (That's the discount.) Now we subtract the orginal price from this.

80 - 32 = 48

Now we need to find the tax value.

48 (our new price) * .0675 = $3.24

Add this back onto the price to get our final price.

3.24 + 48 = $51.24

8 0

3 years ago

Given the foci of (8,0) and the difference of the focal radii = 6, find the equation of the hyperbola

k0ka [10]

Given :

The foci of hyperbola are (8,0) and (-8,0) .

The difference of the focal radii = 6.

To Find :

The equation of the hyperbola.

Solution :

We know, distance between foci is given by :

2c = 8 - (-8)

c = 8

Also, difference between the foci or focal distance is given by :

2a = 6

a = 3

Now, we know for hyperbola :

$b^2 +a^2 = c^2\\\\b^2={c^2-a^2}\\\\b^2 = 64-9\\\\b^2 = 55$

General equation of hyperbola is :

$\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1\\\\\dfrac{x^2}{9}+ \dfrac{y^2}{55}=1$

Hence, this is the required solution.

3 0

4 years ago

Write the equation shown by the information in the table. Then graph the equation on the coordinate below.

skelet666 [1.2K]

y+3=x+1 is the equation and all the numbers represent ordered pairs to graph. (2,1)(3,4)(4,7)(5,10)

8 0

4 years ago

can someone please tell me the equation for the word problem it substitution method . worth 20 points.​

can someone please tell me the equation for the word problem it substitution method . worth 20 points.