All categories

2 years ago

T(x)=−x^+4x−3 Find two points on the graph of the parabola other than the vertex and x-intercepts.

1 answer:

6 0

The points on the graph of the parabola other than the vertex and x-intercepts where the equation of the parabola is given as t(x) = -x^2 + 4x - 3 are (10, -63) and (5, -8)

<h3>How to determine the points on the graph of the parabola other than the vertex and x-intercepts?</h3>

The equation of the parabola is given as:

t(x) = -x^2 + 4x - 3

The vertex of the parabola is the point where the graph is at the maximum or the minimum

While the x-intercept is the point where the graph crosses the x-axis i.e when y = 0

Having said that, we have the equation of the parabola to be

t(x) = -x^2 + 4x - 3

Set x = 5.

So, we have:

t(5) = -5^2 + 4 * 5 - 3

Evaluate the exponents

t(5) = -25 + 4 * 5 - 3

Evaluate the products

t(5) = -25 + 20 - 3

Evaluate the sum and the difference

t(5) = -8

Set x = 10.

So, we have:

t(10) = -10^2 + 4 * 10 - 3

Evaluate the exponents

t(10) = -100 + 4 * 10 - 3

Evaluate the products

t(10) = -100 + 40 - 3

Evaluate the sum and the difference

t(10) = -63

Hence, the points on the graph of the parabola other than the vertex and x-intercepts where the equation of the parabola is given as t(x) = -x^2 + 4x - 3 are (10, -63) and (5, -8)

You might be interested in

Amy has a piece of wood that measures 42 inches. The model shows the length remaining after she cut a piece from the 42-inch pie

Hitman42 [59]

Answer:

She has 42 pieces of wood each of 1 inch of length.

Step-by-step explanation:

Amy has 42 inches piece of wood.

She has to cut an inch.

After cutting pieces of inch each she counts the pieces to be 42.

Mathematically

Total length / unit lenght = Number of pieces

42 inches/ 1 inch= 42 pieces.

She has 42 pieces of wood each of 1 inch of length.

6 0

3 years ago

1/3 kilogram to 2/3 of a foot

HACTEHA [7]

Answer: idk dont know need more info

Step-by-step explanation:

5 0

3 years ago

A chemist wishes to mix a solution that is 6% acid. She has on hand 14 liters of a 4% acid solution and wishes to add some 10% a

jonny [76]

she should add 7 liters of 10% acid solution

Explanation

Step 1

set the equation:

a) let X represents the amount os solution that is 4% acid

let Y represents the amount os solution that is 10% acid

$\begin{gathered} \frac{4}{100}X+\frac{10}{100}Y=\frac{6}{100}(x+y) \\ \end{gathered}$

if he has 14 liters of 4% acid solution

$x=14$

$\begin{gathered} \frac{4}{100}X+\frac{10}{100}Y=\frac{6}{100}(X+Y) \\ \frac{4}{100}*14+\frac{10}{100}Y=\frac{6}{100}(X+Y) \\ 0.56+0.1Y=0.06(14+Y) \\ 0.56+0.1Y=0.84+0.06Y \\ \end{gathered}$

Step 2

solve the equation :

$\begin{gathered} 0.56+0.1Y=0.84+0.06Y \\ subtract\text{ 0.06Y in both sides} \\ 0.56+0.1Y-0.06Y=0.84+0.06Y-0.06Y \\ 0.56+0.04Y=0.84 \\ subtract\text{ 0.56 in both sides} \\ 0.56+0.04Y-0.56=0.84-0.56 \\ 0.04Y=0.28 \\ divide\text{ both sides by 0.04} \\ \frac{0.04Y}{0.04}=\frac{0.28}{0.04} \\ Y=7 \end{gathered}$

therefore,

she should add 7 liters of 10% acid solution

I hope this helps you

8 0

1 year ago

Points Y and Z are the same distance from point X on a number line. The coordinate of point X is –7 and the coordinate of point

Mars2501 [29]

Since you know that point Y and point Z are equal distance form point F, you will need to know the distance between point Y, -1, and the distance between point X, -7. So, the total distance, after subtracting -1 from -7, is -6. So, you will then subtract another -6 from -7, to get -13, which is the coordinate of point Z.

5 0

3 years ago

Read 2 more answers

Three times a number is six more than twice the number.

dexar [7]

The answer is
3x = 2x + 6

5 0

3 years ago