For f(x)=2x+1 and g(x)=x^2-7, find (f-g)(x).

Answer: x>2

Step-by-step explanation:

[tex]4x+\frac{1}{2} (2x+4) > 12[/tex]

Step 1: Simplify both sides of the inequality through the Distributive Property

[tex]4x+\frac{1}{2} (2x+4) > 12\\4x+(\frac{1}{2})(2x)+(\frac{1}{2})(4) > 12\\4x+x+2 > 12\\5x+2 > 12[/tex]

Step 2: Subtract 2 from both sides to isolate x

[tex]5x+2-2 > 12-2\\5x > 10[/tex]

Step 3: Divide both sides by 5 to full isolate x

[tex]\frac{5x}{5} > \frac{10}{5} \\x > 2[/tex]

Answer:

[tex]x > 2[/tex]

Step-by-step explanation:

[tex]4x+\frac{1}{2}(2x+4) > 12 < ==multiply\ the\ \#s\ in\ the\ parenthesis\ first\ using\ \frac{1}{2}\\\\4x+x+2 > 12 < ==combine\ any\ like\ terms\\\\5x+2 > 12 < ==subtract\ 2\ from\ both\ sides\\-2 \ \ \ \ \ -2\\\\5x > 10 < ==divide\ both\ sides\ by\ 5\\/5 \ \ \ \ /5\\\\x > 2[/tex]

This means that x can be any value that is greater than 2.

Hope this helps!

4 units

hope it helps...!!!

Answer:4 units

8-4=4 wham bam yes ma'am

Step-by-step explanation:

x = original price or 100%

so if we discount "x" by 12%, that means the new price is 100% - 12% = 88%, let's see how much is 88% of "x"

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{88\% of x}}{\left( \cfrac{88}{100} \right)x}\implies 0.88x[/tex]

now if we grab that new price, or the new 100%, and discount it further by 5%, what's leftover is simply 95%, because we'll be taking off 5% off of it and thus left with 100% - 5% = 95%.

so what's 95% of 0.88x?

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{95\% of 0.88x}}{\left( \cfrac{95}{100} \right)0.88x}\implies 0.836x[/tex]

so the new discounted price is just 0.836x or 83.6% of our original "x".

from 100% originally to 83.6%, the difference is 16.4%, and that's the total discount.

Answer:

density= 2 and 1/2

Step-by-step explanation:

The formula to find density is: density=[tex]\frac{mass}{volume}[/tex]

so the mass is 100, and the volume is 2x4=8x6=48,  100/48 equals 2 and 1/2

the answer is 70.2 ft because u add them all together

Answer:

the area is 243

see the photo

Answer:

863432

Step-by-step explanation:

Add all numbers You will get answer

Answer:

863432.00

Step-by-step explanation:

800000

60000

3000

400

30

2

--------------

863432

_______

Answer:

An equation for the slope and y-intercept would be y=-3/5x-3

Step-by-step explanation:

Remember the formula for this, y=mx+b, in which the m stands for the slope and the x would be next to the slope always because the slope is ever changing, and the b stands for the y-intercept or in other words, where the line crosses the y-axis not the x-axis.

Answer:

y = -3/5x - 3

Explanation:

The format of slope-intercept is:

[tex]\sf{y = mx + b}[/tex]

Where:

So to write the equation, I just plug the data into y = mx + b:

[tex]\sf{y=-\dfrac{3}{5}x+(-3)}\\\\\sf{y=-\dfrac{3}{5}x-3}[/tex]

Hence, the equation is y = -3/5x - 3.

Answer:

the first one is 0.2222222222... the second is 0.14

6 : 27

Fraction : [tex]\frac{6}{27} = \frac{2}{9}[/tex]
Decimals : 0.(2) = 0.222222222222....
Percentage : 22.2222...%

7 : 50

Fraction : [tex]\frac{7}{50}[/tex]
Decimals : 0.14
Percentage : 14%

Answer:

A

Step-by-step explanation

math

Answer:

-8

Step-by-step explanation:

To find mean, average, divide.

-96/12

-8

Answer:

(1, 100) » First one

(3, 49) » Third one

(4, 50) » Forth one

(2, 74) » Second one

Step-by-step explanation:

[tex]{}[/tex]

Step-by-step explanation:

given ponts,

(3,0)=(x1,y1)

(-6,-3)=(x2,y2)

we know,

Eqn of any line joining two points be,

(y-y1)={(y2-y1)/(x2-x1)}*(x-x1)

y-0={(-3-0)/(-6-3)}*(x-3)

y=(1/3)*(x-3)

y=(x-3)/3

3y=x-3

0=x-3y-3

x-3y-3=0

Therefore it is required eqn

Answer:

Constructing geometric figures means with the help of a compass, protractor and a scale with accurate measurement.

Drawing may just be drawing rough figures with no accurate measurement

Answer:

When you are constructing, you use tools like a compass, ruler, and protractor vs when you draw you don't use a tool, you free hand it.

Step-by-step explanation:

A geometric construction is a set of steps to create geometric figures using just a straightedge and a compass without using formal measurements; whereas a drawing can use any tool.

Answer:

444

Step-by-step explanation:

Find F * k given F(x) = 3x^4 - 2x^3 - 12x^2-x, k = 4

F * k = F( ( k ) ( x ) )

Answer:

I think you need to link a picture or something

Step-by-step explanation:

Answer:

-685

Step-by-step explanation:

hope I helped

Answer:

Step-by-step explanation:

So, the total unit number of sixth graders polled is 12.

39/12=3.25

So, you'd do 8x3.25=26 students like lemonade

13 students like iced tea

The following rigid transformations are applied:

The solution set is found by the fact that the domain of quadratic functions is the entire real domain.

According to the Euclidean geometry, rigid transformations are those transformations applied on geometrical loci such that Euclidean distances are conserved in every point of the loci. Reflections and translations are sound examples of rigid transformations.

In this question we must derive all needed rigid transformations to turn f(x) into g(x), both quadratic functions. After a careful analysis we conclude that the following rigid transformations are applied:

The solution set is represent by all x-values such that the function exists. According to real algebra we remember that the domain of quadratic functions is the real domain. Thus, the solution sets of f(x) and g(x) are the real domain.

To learn more on rigid transformations, we kindly invite to check this verified question: https://brainly.com/question/1761538

Answer:

D'=(1,-1)

Step-by-step explanation:

If you dialate by 1/2 then all you have to do, is find half of point D. so point D sits at (2,-2) and half of 2 would be (1,-1).

The dilated coordinates of D(2,-2) = D'(1,-1).

Resizing an item uses a transformation called dilation. Dilation is used to enlarge or shorten the structures. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. The initial form should be stretched or contracted during a dilatation.

From the graph,

we interpreted the coordinates of D (2,-2).

Coordinates are a pair of integers (Cartesian coordinates), or occasionally a letter and a number, that identify a certain place on a grid, often referred to as a coordinate plane.

To find the dilation of transformation

The basic formula to find the scale factor of a dilated figure is:

Scale factor = coordinates of the new shape ÷ coordinates of the original              shape.

That means,

multiply the factor to the coordinates.

D' = (2 x 1/2, -2 x 1/2)

D' = (1, -1)

Therefore, the coordinates after the dilation D' (1,-1).

To learn more about the dilation in geometry;

https://brainly.com/question/10713409

#SPJ2

Answer:

(-4,3)

Step-by-step explanation:

Answer:

Option 1 :  (-4,3)

Step-by-step explanation:

When doing coordinates we always go across first the up or down.

Since it goes 4 to the left, our x coordinate is -4 and since it goes 3 up, our y coordinate is 3.

Therefore our answer must be (-4,3)

Step-by-step explanation:

Q = msdt

or, 940 = m* 0.780* 15

or, 940 = 11.7m

or, 940/11.7 = m

m = 80.341

Therefore the mass of the metal is 80.341g.

Answer:

Step-by-step explanation:

The answer

g(3)=3−23⋅(3)=3−2=1

Explanation:

show that

g(x)=3−23x

for g(3)g(3)=3−23⋅(3)=3−2=1

Answer:

A = 3484 ft²

Step-by-step explanation:

Area of a parallelogram is given by the formula:

A = bh (where b is the base length and h is the vertical height)

Substituting values given in the diagram gives us:

A = 67×52

A = 3484

Units will be ft² since it is area.

So our final answer is 3484 ft²
Brainliest if this helped and I hope you find the rest of your homework or task easy.

Answer:

10,11.25,15

Step-by-step explanation:

we use linear scale factor you had mentioned that the triangles are similar so the smallest side in the first triangle is 8 and in tje other triangle it is 10

those two sides are equal which means 8 is equal to ten so if 8 is equal to 10 what about 9.if you cross multiply you get 11.25 then you do the same for 12 and get 15

8=10

9=11.25

12=15

Geometric series means

Lets spot out common ratio

Its less than 1

Hence series converges

Sum:-

Answer:

Series converges

Sum = 192

Step-by-step explanation:

General form of geometric series:   [tex]a_n=ar^{n-1}[/tex]

where:

Given series:  48, 36, 27, 81/4, ...

[tex]\implies a = 48[/tex]

[tex]\implies r=\dfrac{a_2}{a_1}=\dfrac{36}{48}=\dfrac34[/tex]

Geometric series converges when |r| < 1

Geometric series diverges when |r| ≥ 1

[tex]\textsf{As }r=\dfrac34\ \implies|\dfrac34| < 1\:\implies\:\textsf{series converges}[/tex]

Sum of an infinite geometric series:

[tex]S_\infty=\dfrac{a}{1-r}\quad\textsf{for}\:|r| < 1[/tex]

Substituting values of a and r:

[tex]\implies S_\infty=\dfrac{48}{1-\frac34}=192[/tex]

what is the school's mascot? no

how many minutes long is third period? no

how many clubs do you participate in? yes

how many electives do you want to take next year? yes

Answer:

It should be thirty if i read question properly

If want process pls comment

Answer:

Factoring: [tex]x = -\frac{1}{5}, -3[/tex]

Step-by-step explanation:

A) You can factor the expression [tex]5x^2 + 16x + 3[/tex] into [tex](5x+1)(x+3)[/tex].

5x + 1 = 0 and x + 3 = 0

[tex]x = -\frac{1}{5}, -3[/tex]

B) I would use factoring because you can factor this expression, and you don't have to use completing the square