Ask question

Ask question

All categories

2 years ago

14

Find the value of f(x) at the given value of x: f(x) = (x -4)(x + 3), x = 3

1 answer:

mario62 [17]2 years ago

7 0

Answer:

-6

Step-by-step explanation:

f(x)= (3- 4)(3+3)

=( -1 )(6)

= -6

You might be interested in

How much will the hardwood floor cost?

Genrish500 [490]

I dont see anything...........

3 0

3 years ago

The points (2,-5) and (5,r) lie on a line with slope 2. Find the missing coordinate r.

Andrew [12]

Answer: r = 1

Step-by-step explanation:

The slope of a line can be represented as $\frac{y_2-y_1}{x_2-x_1}$ . Plugging in the following values would provide you with:

$\frac{(r)-(-5)}{(5)-(2)} =2$

$\frac{r + 5}{3} = 2$

$r + 5 = 6$

$r = 1$

Hope it helps :) and let me know if you want me to elaborate on anything.

7 0

2 years ago

If 60 square feet of flooring costs $287.00 how much does one square foot cost?

Lapatulllka [165]

Answer: About 5 bucks

Step-by-step explanation: Divide 287 by 60 which would equal 4.78333333333

5 0

3 years ago

If Rick buys a remote control car for $29.00, what is his selling price?

Ivahew [28]

Answer:

31

Step-by-step explanation:

31

4 0

3 years ago

4. Gloria the grasshopper is working on her hops.

aivan3 [116]

The path that Gloria follows when she jumped is a path of parabola.

The equation of the parabola that describes the path of her jump is $\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

The given parameters are:

$\mathbf{Height = 20}$

$\mathbf{Length = 28}$

<em>Assume she starts from the origin (0,0)</em>

The midpoint would be:

$\mathbf{Mid = \frac 12 \times Length}$

$\mathbf{Mid = \frac 12 \times 28}$

$\mathbf{Mid = 14}$

So, the vertex of the parabola is:

$\mathbf{Vertex = (Mid,Height)}$

Express properly as:

$\mathbf{(h,k) = (14,20)}$

A point on the graph would be:

$\mathbf{(x,y) = (28,0)}$

The equation of a parabola is calculated using:

$\mathbf{y = a(x - h)^2 + k}$

Substitute $\mathbf{(h,k) = (14,20)}$ in $\mathbf{y = a(x - h)^2 + k}$

$\mathbf{y = a(x - 14)^2 + 20}$

Substitute $\mathbf{(x,y) = (28,0)}$ in $\mathbf{y = a(x - 14)^2 + 20}$

$\mathbf{0 = a(28 - 14)^2 + 20}$

$\mathbf{0 = a(14)^2 + 20}$

Collect like terms

$\mathbf{a(14)^2 =- 20}$

Solve for a

$\mathbf{a =- \frac{20}{14^2}}$

$\mathbf{a =- \frac{20}{196}}$

Simplify

$\mathbf{a =- \frac{5}{49}}$

Substitute $\mathbf{a =- \frac{5}{49}}$ in $\mathbf{y = a(x - 14)^2 + 20}$

$\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

Hence, the equation of the parabola that describes the path of her jump is $\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

See attachment for the graph

Read more about equations of parabola at:

brainly.com/question/4074088

7 0

2 years ago