All categories

3 years ago

What is the equation, in standard form, of a parabola that models the values in the table?

Mathematics

1 answer:

love history [14]3 years ago

3 0

Answer:

$Y=4x^2+3x-6$

Step-by-step explanation:

For the standard form equation to model the values in the table, each value of x in the table should give the matching the y value when substituted into the equation. We will test each equation:

$Y=3x^2+4x-6$ for (-2,4)

$Y=3(-2)^2+4(-2)-6=3(4)+-8-6=12+-8-6=-2\\$

This does not give 4 as the answer and is not a solution.

$Y=4x^2+3x-6$ for (-2,4)

$Y=4(-2)^2+3(-2)-6=4(4)+-6-6=16+-6-6=-4\\$

This does give 4 as the answer and is a possible solution.

$Y=4x^2-3x-6$ for (-2,4)

$Y=4(-2)^2-3(-2)-6=4(4)+6-6=16+6-6=16\\$

This does not give 4 as the answer and is not a solution.

$Y=-4x^2-3x-6$ for (-2,4)

$Y=-4(-2)^2-3(-2)-6=-4(4)+6-6=-16+6-6=-16\\$

This does not give 4 as the answer and is not a solution.

The only possible solution is $Y=4x^2+3x-6$

You might be interested in

PLEASE HELP FOR MATH. I NEED HELP WITH THIS. 15 POINTS

lys-0071 [83]

Answer:

x^2+10x+25 is a polynomial

Step-by-step explanation:

A polynomial is an expression with exponets such as x^2 therefore your eqation that will become x^2+10x+25 is always a polynomial

Assuming you meant (x+5)^2

7 0

3 years ago

Write a system of linear equations for the graph below.

sp2606 [1]

<h2>Answer:</h2>

We need to determine the equation of both lines first.

Line 1: y = -2x + 3

Line 2: y = -1/3x - 2

Now that we know the equations, we can set up a system of equations for this graph where both equations are in standard form.

Line 1:

$y = -2x + 3\\\\2x + y = 3$

Line 2:

$y = -\frac{1}{3}x - 2\\\\\frac{1}{3}x + y = -2$

Final answer:

$2x + y = 3\\\frac{1}{3}x + y = -2$

5 0

3 years ago

Read 2 more answers

there are 7 boys and girls in a club. How many different ways to form a queue starting with a girl after each girl?

Soloha48 [4]

Answer:

7 girls can go in the first place, 6 in the second, etc.

7! ways is the number of ways to arrange the girls.

likewise the boys can be arranged in 7! ways

The total number of ways becomes 7! * 7!

7! * 7! = 25,401 600 ways

8 0

3 years ago

Can some one please help me will give 94 points for it

NNADVOKAT [17]

You can solve this by using "similar triangles".

In triangle ABC, we are looking for side AC which is x. Side AC is similar to side DF in triangle EDF.

You can solve for side x by picking two sides in triangle ABC and their corresponding sides in triangle EDF. This is what I mean:
$\frac{AC}{BC} = \frac{DF}{EF}$
Substitute for the values of AC, BC, DF and EF:
$\frac{x}{4} = \frac{11}{8} \\ \\ 8x = 4 \times 11 \\ \\ x = \frac{44}{8}$
$x = 5.5 \: units$
To solve for y, do the same thing. Pick two sides on triangle ABC and their corresponding sides in triangle DEF.
$\frac{AB}{BC} = \frac{DE}{EF}$
Substitute for the values and solve:
$\frac{3}{4} = \frac{y}{8}$
$4y = 24 \\ \\ y = 6 \: units$

We have the value x to be 5.5 units and y to be 6 units.