All categories

4 years ago

Iiana started to evaluate the function f(x)=2x^2-3x+7 for theinput value 2

Mathematics

1 answer:

Vitek1552 [10]4 years ago

3 0

Answer:

The output for x = 2 is

$\therefore f(2)=9$

Step-by-step explanation:

Function:

A function is like a machine that gives an output for a given input.

A function has an independent variable which is called the input of the function.

The output for a given input is called the dependent variable.

Here. 'x' independent variable

f(x) is the function dependent variable

$f(x)=2x^{2}-3x+7$

So Put x = 2 in the f(x) we get

$f(2)=2(2)^{2}-3(2)+7= 2\times 4 -6 +7 = 8+1=9$

The output for x = 2 is

$\therefore f(2)=9$

You might be interested in

ITEM

Hoochie [10]

Answer:

1,449

Step-by-step explanation:

8 0

3 years ago

A tennis ball is launched from a catapult from the ground with an initial velocity of 26fps. What is the maximum height of the b

Lady bird [3.3K]

Answer:

10.5618feet, 0.8125sec

Step-by-step explanation:

Given the height reached by the catapult expressed by the equation H=-16T^2+26T

At the maximum height, the velocity of the object is zero, hence;

v = dh/dt = 0

-32t + 26 = 0

-32t = -26

t = 26/32

t = 0.8125secs

Hence it will attain the maximum height after 0.8125second

Substitute t = 0.8125s into the expression to get the maximum height

H=-16t^2+26t

H = -16(0.8125)^2 + 26(0.8125)

H = -16(0.6602) + 21.125

H = -10.5632+21.125

H = 10.5618

hence the maximum height reached by the ball is 10.5618feet

3 0

3 years ago

Samantha has $45 to spend on a new dress.

kogti [31]

45 + ( 10 / 100 ) * 45 = 49.5 > 45 No
40 + ( 5 / 100 ) * 40 = 42 < 45 Yes
50 - ( 20 / 100 ) * 50 = 40 < 45 Yes
36 + ( 15 / 100 ) * 36 = 41.4 < 45 Yes

3 0

3 years ago

help please!! find the area of each triangle. round intermediate values to the nearest tenth. use the rounded values to calculat

White raven [17]

Area of a triangle = (1/2)*base*height

For both of the triangles, you have the base (8.8 for the triangle on the left, 7.6 for the triangle on the right) and the side lengths, but not the height. But since both are isosceles triangles, you can find the height using the pythagorean theorem.

First divide the triangle vertically into two triangles (see attached picture). Now you have two right triangles, you can apply the pythagorean theorem on either one of them to find the height. The pythagorean theorem says that for a right triangle, $a^2+b^2=c^2$ , where c is the hypotenuse and a and b are the sides of the triangle.