Answer:
(f - g)(x) = 3x - 6
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining like termsStep-by-step explanation:
Step 1: Define
f(x) = 4x - 8
g(x) = x - 2
(f - g)(x) is f(x) - g(x)
Step 2: Find
Substitute: (f - g)(x) = 4x - 8 - (x - 2)Distribute negative: (f - g)(x) = 4x - 8 - x + 2Combine like terms: (f - g)(x) = 3x - 6Use the given information to write the equation of the line.
slope 2, y-intercept - 4
A video game system and several games are sold for $652. The cost of the games is 3 times as much as the cost of the system. Find the cost of the system and the cost of the games.
Cost of the video game system: $
Answer:
The cost of the system is $163 and The cost of the games is $489
Step-by-step explanation:
∵ A video game system and several games are sold for $652
∵ The cost of the games is 3 times as much as the cost of the system
→ Assume that the cost of the system is $x
∵ The cost of the system = x
∴ The cost of the games = 3 × x = 3x
∵ The total cost of the system and the games = 652
→ Equate the sum of the cost of the system and the cost of the games
by 652
∴ x + 3x = 652
→ Add the like terms in the left side
∴ 4x = 652
→ Divide both sides by 4 to find x
∵ [tex]\frac{4x}{4}=\frac{652}{4}[/tex]
∴ x = 163
∵ The cost of the system = x
∴ The cost of the system is $163
∵ The cost of the games = 3x
∴ The cost of the games = 3(163) = 489
∴ The cost of the games is $489
The graph of the cube root of X is shifted one unit down in seven units to the left. What is the equation of the resulting graph? Explain
Using translation concepts, it is found that the equation of the resulting graph is given by:
[tex]y = \sqrt[3]{x + 7} - 1[/tex]
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The cube root function is given by:
[tex]y = \sqrt[3]{x}[/tex]
The changes are as follows:
Shifted one unit down, hence 1 is subtracted from the function.Shifted seven units to the left, hence [tex]x \rightarrow x + 7[/tex] in the domain of the function.Hence, the equation is given by:
[tex]y = \sqrt[3]{x + 7} - 1[/tex]
More can be learned about translation concepts at https://brainly.com/question/4521517
Help please, be sure your right.
Answer:
Step-by-step explanation:
System A and System B are not equivalent !!!
Help plz:))) I’ll mark u brainliest
ASAP!!!
Answer:
no pic or better explanation
Step-by-step explanation:
if you give a pic or explanation we cant help sorry
URGENT NEEDS ANSWERED WITHIN 20 MINUTES
Find the radius of a circle whose sector area is 59 square inches and whose arc measures 40o.
please help its so late at night
A pizza restaurant sells containers of juice that it marks up 75 percent above its wholesale cost. If the restaurant marks up each container by $0.90, how much does the restaurant pay for each container of juice wholesale?
$0.51
$0.83
$1.20
$1.58
Answer:
$1.20
Step-by-step explanation:
$0.90=75%. divide it by 3. =$0.30. do 4 times $0.30. $1.20.
Answer:
75% of what is 0.90
0.75x = 0.90
x = 0.90/0.75
x = 1.20 <== restaurant pays $ 1.20 wholesale
P = 2(w + h)
W = 12 correct to the nearest whole number
h = 4 correct to the nearest whole number
Work out the upper bound for the value P
(urgent please)
Answer:
p=32
Step-by-step explanation:
4+12=16
16×2=32
p=32
After substituting W = 12, h = 4, in the equation P = 2(w + h), P = 32
What is upper bound?"An element greater than or equal to all the elements in a given set."
What is equation?"It is an expression which contains an equal symbol."
For given question,
Given equation: P = 2(w + h)
W = 12, h = 4
After substituting these values in given equation,
⇒ P = 2 × (12 + 4)
⇒ P = 2 × 16
⇒ P = 32
Learn more about upper bound here:
https://brainly.com/question/22965427
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What is the equation of the line that passes through the point (3,-2) and has a
slope of -2?
Answer:
y=-2x+4
Step-by-step explanation:
What is x?
What is y?
Answer:
x=35, y=18
Step-by-step explanation:
the triangles are similar so they are in proportion
x/14=45/y= 40/16
[tex]\frac{x}{14} =\frac{40}{16}[/tex] find x
[tex]x= \frac{14*40}{16} = 35[/tex]
[tex]\frac{45}{y} =\frac{40}{16}[/tex] find y
[tex]y= \frac{45*16}{40} =18[/tex]
how many is ounces is 4 gallons
Answer:
512 ounces
Step-by-step explanation:
There are 128 ounces in a gallon.
128 x 4 = 512
Answer:
512
Step-by-step explanation:
A drive in movie charges $9 per car plus $2 per person in the car. The total cost for going to the drive in movie when you go on x people are in the car is f(x) = 2x + 9. How will the graph of this function change if the cost per car is changed to $6 ?
Step-by-step explanation:
f(x)= 2x + 9
Cost per car
Change 9 to 6.
f(x) = 2x + 6
Because 9 was the y-intercept and it was changed to 6, or 3 units down, the function would be be translated 3 units down
Hope this makes sense!!!!
Jacob earns $7.25 an hour at his part-time job, and earns $9 each time he mows the lawn for his mother. He graphs the amount of hours he works at his job (x) and the number of lawns he mows (y) to determine how to earn at least $300. Which type of boundary line should he use in his graph?
A A dotted boundary line, because the values on the line should not be included in the solution set.
B A solid boundary line, because the values on the line should not be included in the solution set.
C A dotted boundary line, because the values on the line should be included in the solution set.
D A solid boundary line, because the values on the line should be included in the solution set.
Answer:
A
Step-by-step explanation:
trust your self because we need to Tren our selfA line that contains the point (0,4) if the slope of the line is m=5 write the equation of the line using slope intercept form
Answer:
y = 5x + 4
Step-by-step explanation:
Slope intercept form is y = mx + b. m is the slope which is already given to you, which leaves you with y = 5x + b. Then you plug in (0,4) to find what b is. 4 = 5(0) + b
4 = 0 + b
4 = b
y = 5x + 4
Determine if the two triangles are congruent. If they are, state how you know.
1)
2)
Got the answer thanks
Answer:
Welcome
Step-by-step explanation:
Please help!!!! The length of a rectangular garden is 3 yards more than its width. The perimeter of the garden is 36 yards. What are the width and length of the garden?
How to do this question plz answer
Answer:
45° and 135°
Step-by-step explanation:
(a)
The sum of the angles around O = 360°
There are 8 segments from each vertex to O , thus
∠ AOB = 360° ÷ 8 = 45°
The sum of the interior angles of a regular polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 8 , then
sum = 180° × 6 = 1080°
In a regular polygon the 8 interior angles are equal, thus
∠ ABC = 1080 ÷ 8 = 135°
9514 1404 393
Answer:
a) angle AOB = 45°
b) angle ABC = 135°
Step-by-step explanation:
a) The sum of the 8 identical central angles is 360°, so each one has a measure of ...
angle AOB = 360°/8 = 45°
__
b) The sum of the 8 exterior angles is 360°, so each one is 45°, the same measure as the central angle. The measure of angle ABC is the supplement of the exterior angle at B, so is ...
angle ABC = 180° -45° = 135°
_____
In the attached image, the central point is your O. Angle AOB is the interior angle of triangle AOB whose vertex is at O.
Enter values for X and Y in the table to plot points in the graph
Answer:12,16
Step-by-step explanation:
Answer:
16,28. 4,16. I'm not sure though
HELPPPPPP PLEASEEE HURRYYYYY
Answer:
Function B has a greater slope than Function A
Answer:
Function B has a greater slope than Function A.
Step-by-step explanation:
If you graph function B, you see that it is much steeper than function A.
PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
Answer:
Step-by-step explanation:
I'm not exatcly sure what is meant by magnitude but if it is the slope it is simply -7 if it is asking about the actual magnitude or length of the vector then we use pthagorean theorum which is:
[tex]c^{2} =a^{2} +b^{2}\\[/tex]
when adjusted to solve for the answer is
[tex]c = \sqrt{a^{2}+b^{2}\\}[/tex]
which is c = sqrt (1^2) + (-7)^2 = [tex]\sqrt{50}[/tex] would be the exact answer
Solve the simultaneous equations:
3a-2b=14
12a+9b=39
J. D. Is saving up to buy a set of Apple Airpods. It is advertised on the web site for $199. He has $56 saved. To make money, he does yardwork for his neighbors and receives $5.00 a day. How many days of yardwork will he need to complete to have enough money to buy the Airpods? His parents said they will pay the sales tax.
Answer:
29 days!
Step-by-step explanation:
$199 - $56
$143
$143/ $5 = 28.6
28.6 --> 29
Answer:
29days
Step-by-step explanation:
just work out how many fives there is there
Can someone tell me the two answers Plz I’ll mark brainlist and points
Answer:
21.
a) don't color the straps green
b) color the straps black
19.
a) color the shapes black
b) don't color the shapes brown
Step-by-step explanation:
Which of these graphs do not represent constant rates of change? Check all that apply. On a coordinate plane, a parabola opens up. On a coordinate plane, a line has a negative slope. On a coordinate plane, a line has a positive slope. On a coordinate plane, a line is constant and then curves rapidly up.
Answer:
A and D
Step-by-step explanation:
Got it right on Edge hope this helped!
Answer:
A&B
Step-by-step explanation:
its right on edg
Please please please please help me!!!
Answer:
9c2/a4
Step-by-step explanation:
To Clarify 9c is squared and a is held to the fourth power
4 of the 9 tiles in the floor pattern are white. What percent of the tiles are white?
Answer:
44.5%
Step-by-step explanation:
THis is because 4/9x100=44.5, which means that 44.5% of the tiles are white
3(4x+4) pls quickly:)
Answer:
12x+12
Step-by-step explanation:
3(4x+4)
you times both answers to get rid of the 3
=3 • 4x + 3 • 4
= 12x+12
because they are not like terms so you cannot do anything further.
What is the y-intercept of the graph at the right? (only type the number)
Answer:
#1: 0; #2: -35
Step-by-step explanation:
Y-intercept is where the line crosses the y-axis (the vertical one).
HTH :)