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Lynna [10]
4 years ago
12

Which equation is y=-6x^2+3x+2 written in vertex form

Mathematics
1 answer:
galben [10]4 years ago
6 0

Answer:

(1/4 , 19/8)

Step-by-step explanation:

Rewrite in standard form and use this form to find the vertex (h,k)

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(y4 – y3 + 2y2 + y – 1) ÷ (y3 + 1)
Monica [59]
<span>a+b) • (a2-ab+b2)
</span><span>(a+b) • (a2-ab+b2) = 
a3-a2b+ab2+ba2-b2a+b3 =
a3+(a2b-ba2)+(ab2-b2a)+b3=
a3+0+0+b3=
a3+<span>b<span>3
ANWSER </span></span></span><span> y4 - y3 + 2y2 + y - 1 —————————————————————— (y + 1) • (y2 - y + 1)</span>
5 0
3 years ago
Read 2 more answers
A circle has an area of 40 square inches. Find the radius to 2 decimal places.
Oksanka [162]

The area of a circle is given by

A=\pi r^2

We can solve this equation for r: divide both sides by pi:

r^2=\dfrac{A}{\pi}

Consider the (positive) square root of both sides:

r = \sqrt{\dfrac{A}{\pi}}

So, in your case, we have

r = \sqrt{\dfrac{40}{\pi}}\approx 3.57

7 0
3 years ago
A line includes the points (0, –6) and (–2, –10). What is its equation in slope-intercept form?
sergiy2304 [10]

Answer:

y = 2x - 6

Step-by-step explanation:

The slope-intercept equation is y = mx + b

where m is the slope and b is the point on the y axis when x=0 which is called the y intercept.

The slope is the rise over run.

Rise is the difference in the y values.

Run is the difference in the x values.

Rise = difference between -6 and -10  which is 4 units

Run = difference between 0 and -2 which is 2 units.

The slope would then be 4 over 2 or 4/2 which can be reduced down to 2.

If you visualize the line on the graph, the line slopes upward from left to right.  So the slope must be a positive number.

Slope = 2

The y intercept is when x=0.  One of the coordinates (0, -6) gives you that answer.  When x=0, y = - 6.  This is b.

Your equation would be y = 2x - 6

7 0
3 years ago
Read 2 more answers
Alex is making puppets for a show. He bought all the string needed for $125. It costs $18 for the remaining materials to make ea
Alexus [3.1K]

Alex bought all the string needed for $125.

It costs $18 for the remaining materials to make each puppet.

So if we closely observe then we see that here $125 is the fixed cost because its not going to change with number of puppets.

And the variable cost is $18.

In this case we can model a Total cost function C(x) for for x number of puppets as below

C(x)=125+18x\\ \\ \text{Here x is the number of puppets}\\ \\ \text{Since in our case the number of puppets is 50 so replace x by 50 we get }\\ \\ C(50)=125+18*50\\ \\ C(50)=125+900\\ \\ C(50)=1025  \ dollar.

The total cost to make 50 puppets=$1025

3 0
3 years ago
Read 2 more answers
A water tank already contains 55 gallons of water when Baxter begins to fill it. There is a crack in the tank and water begins t
STALIN [3.7K]

Answer:

Step-by-step explanation:

Therefore, the volume of the water in the tank 25 minutes after Baxter begins filling the tank is 255 gallons.

Step-by-step explanation:

Linear Equation; Ax+By=C

A linear equation to model this situation:

8x + 55 = C

Where;

8 is for the rate of gallons.

'X' is the minutes.

55 is the gallons of water the tank already contained.

8(25) + 55 = 255

Where;

8 is for the rate of gallons.

25 is the minutes.

55 is the gallons of water the tank already contained.

8 0
3 years ago
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