All categories

3 years ago

If f(x) = 3x - 1 and g(x) = x + 2, find (1-9)(x).

Mathematics

1 answer:

Studentka2010 [4]3 years ago

5 0

Answer:

$(f-g)(x)=2x-3$

Step-by-step explanation:

<em>The correct question is</em>

If f(x)=3x-1 and g(x)=x+2, find (f-g)(x)

we know that

(f-g)(x) is equal to subtract the function g(x) from the function f(x)

$(f-g)(x)=f(x)-g(x)$

substitute the given functions

$(f-g)(x)=(3x-1)-(x+2)$

Remove the parenthesis

$(f-g)(x)=3x-1-x-2)$

Combine like terms

$(f-g)(x)=2x-3$

You might be interested in

You are buying packages of beads to make bracelets. Each package costs $3 plus 7% tax. You have a gift card for $15, and you pla

julia-pushkina [17]

Answer:

Step-by-step explanation:

The funtion is:

C(p)= 3(p)+1.07 (1)

where: 3 is the package cost, p is the number of packages and 1.07 is the taxes

the cost could be equal or less than the gift card value so:

C $C \leq 15$ (2)

Replace 2 en 1

$15\leq 3(p)$ x 1.07

3(p) $\leq$ $\frac{15}{1.07}$

$3p [tex]\leq$ 14.02\\\\p\leq \frac{14.02}{3} \\\\p\leq 4.67[/tex]

It´s important to aprox the quantity to the minimum value so I can buy 4 packages

The reasonable domain is for all R because any number is a possible value of the independent variable

6 0

2 years ago

Find the slope of the line 8x – 4y = 8\ (hint: find 2 points; then use the slope formula)

vodka [1.7K]

Or you can do the easy way

convert to slope intercept
y=mx+b
m=slope

get 1y all by itself

8x-4y=8
minus 8x both sides
-4y=-8x+8
divide both sides by -4
y=2x-2
y=mx+b
slope is 2

the hack way is
for an equatoin in standard form
ax+by=c
slope=-a/b

slope=2

if you want to graph 2 points and do it the long way, here it is
if x=0, y=-2
if y=0, x=1
(0,-2) and (1,0)
slope=(y2-y1)/(x2-x1)
slope=(0-(-2))/(1-0)=2/1=2

slope is 2

8 0

3 years ago

A ball is thrown straight up from the top of a building that is 400 ft high with an initial velocity of 64 ft/s. The height of t

Schach [20]

Answer:

This type of essay answer is pretty short.

You play out the equation and say what each part of the equation means. The vertex in this case, because it's a downward facing parabola, is the highest point on the graph. Now since they're kicking a ball, the vertex will be the highest point that the ball will go up to.

Hopefully this helps some. For full points you'll probably have to add a bit of padding and further explanation.

Step-by-step explanation:

5 0

2 years ago

Three vertices of a parallelogram are shown in the figure below. Give the coordinates of the fourth vertex.

topjm [15]

Given:

The three vertices of a parallelogram are (-3,8), (4,5), (2,-5).

To find:

The fourth vertex of the parallelogram.

Solution:

Let the vertices of the parallelogram are A(-3,8), B(4,5), C(2,-5) and D(a,b).

We know that, diagonals of a parallelogram bisect each other. It means midpoints of both diagonals are same.

Midpoint formula:

$Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

Two diagonals of ABCD are AC and BD.

Midpoint of AC = Midpoint of BD

$\left(\dfrac{-3+2}{2},\dfrac{8-5}{2}\right)=\left(\dfrac{4+a}{2},\dfrac{5+b}{2}\right)$

$\left(\dfrac{-1}{2},\dfrac{3}{2}\right)=\left(\dfrac{4+a}{2},\dfrac{5+b}{2}\right)$

On comparing both sides, we get

$\dfrac{4+a}{2}=\dfrac{-1}{2}$

$4+a=-1$

$a=-1-4$

$a=-5$

And,

$\dfrac{5+b}{2}=\dfrac{3}{2}$

$5+b=3$

$b=3-5$

$b=-2$

Therefore, the coordinates of fourth vertex are (-5,-2).

3 0

2 years ago

So if the value of the solid's surface area is equal to the volume. Find the value of x

11Alexandr11 [23.1K]

Answer:The solid surface area is equal to the solid volume. Find the value of x? The measurements of the rectangular prism is 11 inches long and 3 inches wide. Height is not listed.

The height of the solid is 5in and the width is 6in. X is the value of the length

Step-by-step explanation:

7 0

2 years ago