[tex]f(x) = (x - 4)(x - 3) \\ g(x) = \frac{7}{(x - 4)(x + 4)} \\ f.g = (x - 4)(x - 3) \times \frac{7}{(x - 4)(x + 4)} \\ (x-4)s \: are \: simplified \\ f.g = \frac{(x - 3) \times 7}{x + 4} = \frac{7x - 21}{x + 4} \\ (f.g) (x) = \frac{7x - 21}{x + 4} [/tex]
Which of these relations is a function?
Why is this? This is the only relation that passes the vertical line test.
The other choices have situations where we can draw a single straight vertical line through more than one point on the blue curve. That means the graph fails the vertical line test and we do not have a function.
For a function to be possible, any x input must lead to exactly one y output.
Answer:
2nd one
Step-by-step explanation:
Kaitlyn is making big goods for charity bake sale he places a tray of scones a tray of muffins and a tray of cookies in the oven discounts bake for 15 minutes the muffins bake for 12 minutes and the cookies bake for 10 minutes when one trays done he removes it and replace it with another tray at the same I don't how many minutes after kaylan put the trays in the oven when he 1st remove the scones muffins and cookies at the same time
Answer:
So:
Counting from a given time t = 0min, we know that:
Each 15 mins she removes the scones
Each 12 mins she removes the muffins
Each 10 mins she removes the cookies.
So when will she remove both at the same time?
Well, this will happen in the smallest common multiple of 15, 12 and 10.
or at LCM(10, 12, 15).
How we find it?
well, in this case is easy.
All the multiples of 10 end with a zero.
So let's find the multiples of 12 and 15 that also end with a zero:
12*6 = 60
15*4 = 60
and
10*6 = 60
So the LCM(10,12,15) = 60.
Another way is by calculating:
10*12*15/(GCF(10,12)*GCM(12,15)*GCM(10,15)
Where GCF = greatest common factor.
Between 10 and 12 is 2.
Between 12 and 15 is 3
Between 10 and 15 is 5.
Then:
10*12*15/(2*3*5) = 60.
This means that 60 minutes after she starts, she will remove the scones, muffins and cookies at the same time.
what would be the answer to (6+3)^2-4 if you were to simplify it?
Answer:
1/81
Step-by-step explanation:
Answer:
77
Step-by-step explanation:
Parenthesis first, (6+3=9)^2 (9)^2 = 81-4 = 77
A high school choir had a car wash to raise money. The number of trucks washed was 2 fewer than
half the total number of cars and SUVs washed. They washed twice as many cars as trucks. They
washed a total of 28 trucks and cars and SUVs.
Let T = the number of trucks, C = the number of cars, and S = the number of SUVs washed. Which
ordered triple, (T, C, S) represents the solution to the system below? Verify your answer fully in the
box provided. (5 pts.)
1 2( ) 2
2
28
T CS
C T
TCS
+= +
=
++=
A. (4, 8, 16) C. (8, 16, 4)
B. (4, 8, 12) D. (12, 6, 8)
Answer: C. (8, 16, 4)
Step-by-step explanation:
Given the following:
Let:
Trucks = T ; Cars = C ; SUVs = S
T =0.5(C + S) - 2 - - - (1)
C = 2T - - - (2)
T + C + S = 28 - - - (3)
T = 0.5(2T + S) - 2
T = T + 0.5S - 2
0 = 0.5S - 2
0.5S = 2
S = 2/0.5
S = 4
From T + C + S = 28
C = 2 T ; S = 4
T + 2T + 4 = 28
3T = 28 - 4
3T = 24
T = 24/3
T = 8
From T + C + S = 28
8 + C + 4 = 28
12 + C = 28
C = 28 - 12
C = 16
Hence, (T, C, S) = (8, 16, 4)
Which expression is equivalent to 6423?
An appliance store sells microwave ovens and has many different styles to choose from. A handout from the store contains details about brand, price, number of power settings, and color. What are the individuals in this data set?
a) microwave ovens
b) brands
c) prices
d) colors
Answer:
a) microwave ovens
Step-by-step explanation:
Since we don't know what the dataset is, we cannot say with certainty what its elements are. The first sentence talks about microwave ovens, so it may be reasonable to assume that will be the members of the data set.
_____
Additional comments
In computer programming terms (as for a shopping web site, for example), the data set would consist of tuples of ...
(brand, price, number of power settings, color)
and perhaps other attributes, such as dimensions, home/commercial, length of warranty, and more. That is, the appropriate answer would be "all of the above."
__
We recommend you discuss this with your teacher and try get a clear statement of the rule that can be applied to questions like this. There are many "this situation" questions that are popular now, in which "this situation" could be any of numerous features of the scenario described. Defining the question properly is the first step to solving it.
Answer:
A
Step-by-step explanation:
5x-4 ≥12 or 12x+5 ≤-4
Answer:the answer is in fact 3/4
Step-by-step explanation:
Are all imaginary numbers like terms
Owen made 60% of the shots he attempted during his hockey practice. He made 18 shots. How many shots did Owen attempt during his hockey practice?
Answer:
10.8 shots
Step-by-step explanation:
Owen made 60% of the shots he made, and he made 18 shots in total. Therefore, we would take 60% of 18. The answer we get is 10.8, but we can't have a part of a shot.
When measuring the sides, triangles can be classified as acute, scalene and isoceles
Answer:
Yes, When measuring the sides, triangles can be classified as acute, scalene, and isosceles
Step-by-step explanation:
In any triangle, there are at least two acute angles
The types of triangles according to their angles are:
Acute-angled triangle ⇒ 3 angles are acuteRight-angled triangle ⇒ 2 acute angles and 1 right angleObtuse-angled triangle ⇒ 2 acute angles and 1 obtuse angleThe types of triangles according to their sides are:
Equilateral triangle ⇒ 3 equal sidesIsosceles triangle ⇒ 2 equal sidesScalene triangle ⇒ 3 different sideYou can classify the type of the triangle according to its angle using the measuring of its sides.
If a triangle has sides length a, b, c where c is the longest side
∵ a² + b² > c²
∴ The triangle is an acute-angled triangle
∵ a² + b² = c²
∴ The triangle is a right-angled triangle
∵ a² + b² < c²
∴ The triangle is an obtuse-angled triangle
You can classify the type of the triangle according to its sides using the measuring of its sides.
If a triangle has sides lengths a, b, c
∵ a, b, c have unequal lengths
∴ The triangle is scalene
∵ a and b or a and c or b and c have equal lengths
∴ The triangle is Isosceles
∵ a, b, c have equal lengths
∴ The triangle is equilateral
Yes, When measuring the sides, triangles can be classified as acute, scalene, and isosceles
Need some help on this question
Answer:
No because my brain doesn't work on math and I need help on solving inequalities
A car is traveling down a highway at a constant speed, described by the equation d=75t, where d represents the distance, in miles, that the car travels at this speed in t hours. Use this information to answer all the questions below.
A. What does 75 tell us about this situation?
B. How many miles does the car travel in 2.5 hours?
C. How long does it take the car to travel 50 miles at this speed?
Answer:
A 75 represents speed.
B 187.5 miles
C about 40 mins
Step-by-step explanation:
A distance is calculated by multiplying speed by time.
B 75 * 2.5
C 50/75 = 0.67 0.67 of an hour is about 40 mins.
Write the equation of the line that passes through the points (4, -3) and (3, 2). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer:
Use the slope equation to find the slope of the 2 points. Then substitute the values given and the slope into the point slope equation.
Step-by-step explanation:
Point slope equation: y − y1 = m(x − x1)
Slope: y2-y1/x2-x1
What is the slope of the line that passes through the pair of points?
( 1,7 ) , ( 10,1 )
Answer:
m = -2/3
Step-by-step explanation:
We can find the slope of the line from the given two points:
m = (y2-y1)/(x2-x1)
m = (1-7)/(10-1)
m = -6/9
m = -2/3
Mai uses Triangle A and says the slope of this line is 6/4.
Elena uses Triangle B and says no, the slope of this line is 1.5.
Do you agree with either of them? Explain.
The slope of the line is the ratio of the rise to the run, or rise divided by the run. Yes i can agree with both of their statements.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
As we know that the slope of a line will be always same on a given line. If slope triangle A has slope 6/4. Then triangle B will be also have the same slope.
As both triangles are connected to the same line. These two triangles A and B will have same slopes.
Mai uses Triangle A and says the slope of this line is 6/4.
If we convert fraction 6/4 to decimal we get 1.5 value.
So i agree with both of their statements.
To learn more on slope of line click:
https://brainly.com/question/14511992
#SPJ2
I need help ASAP PLEASE HELP ME AND FAST
Answer:
Scale factor: 1/3 X=4
Scale factor: 5 X=20
Step by step explanation:
give brainliest please lol
Quadration Equation
X^2 - 6x - 7 = 0
Answer:
x = - 1, x = 7
Step-by-step explanation:
Given
x² - 6x - 7 = 0
Consider the factors of the constant term (- 7) which sum to give the coefficient of the x- term (- 6)
The factors are - 7 and + 1, since
- 7 × 1 = - 7 and - 7 + 1 = - 6, thus
(x - 7)(x + 1) = 0
Equate each factor to zero and solve for x
x - 7 = 0 ⇒ x = 7
x + 1 = 0 ⇒ x = - 1
angelo wants to buy a laptop and an android phone to be used in his online class. He paid a total of Php 24, 200.00 for both gadgets. The price of the laptop is Php 3, 800.00 more than the price of the android phone.
Answer:
laptop: 14000
phone: 10200
Step-by-step explanation:
laptop: x + 3800
phone: x
x + 3800 + x = 24200
2x + 3800 = 24200
2x = 20400
x = 10200
laptop: 10200 + 3800 = 14000
phone: 10200
Please help meeee I’m struggling
What is the constant of proportionality for this table?
d C
2 6.28
3 9.42
5 15.7
10 31.4
Answer:
C
Step-by-step explanation:
The perimeter of a rectangular room is 60 feet. Let pie be the width of the room (in feet) and let y be the length of the room (in feet). Select all of the equations below that could model this situation
Answer:
1.i dont know 2. we rock
Two angles are supplementary. If one angle measures twice the other, and the number of degrees in the smaller angle.
Answer:
60 Degrees
Step-by-step explanation:
Supplementary means it equals 180 together, so you divide it by 3 because the one is twice as big and you take the smaller answer
[tex]\frac{180}{3} =60[/tex]
Small and large angle are 60° and 120°.
Given that;
Angles are supplementary
Computation:
Assume;
Smaller angle = a
So,
Large angle = 2a
So,
In supplementary
a + b = 180
a + 2a = 180
3a = 180
a = 60
Smaller angle = 60°
Large angle = 2(60)
Large angle = 180°
Learn more:
https://brainly.com/question/12677598?referrer=searchResults
3=−2 |14s−5| +3 can i get a simple explination im kind of dumb lol
Answer:
s=5/14
Step-by-step explanation:
cancel equal terms on both sides of the equation
0=-2 x |14s-5|
swap the sides of the equation
-2 x |14s-5|=0
divide both sides of the equation by -2
|14s-5|=0
when the absolute value of 14s-5= 0, then 14s-5=0
move the constant to the right-hand side and change its sign
14s=5
now divide both sides of the equation by 14
s=5/14
Q1.
Kristen buys a laptop.
She gets a discount of 20% off the normal price.
Kristen pays £480 for the laptop.
Work out the discount. Give your answer in pounds.
Answer:
320$
Step-by-step explanation:
monay cash burngert
What is 166.6789 to the nearest hundredth
Answer:
166.68
Step by Step:
166.678
The bolded number is greater than 5 meaning you have to round up.
so 166.678 is rounded to 166.68.
Hope this helped.
A number minus 8 is the same as a number
n divided by 2.
A number minus 8 is the same as a number divided by 2.
To Find :We have to find that number[tex].[/tex]
Solution :Let the number be x.
From the given question,
1. Number minus 8
x - 8 ..... (I)2. Number divided by 2
x/2 ..... (II)ATQ : (I) = (II)
⭆ x - 8 = x/2
⭆ 2(x -8) = x
⭆ 2x - 16 = x
⭆ 2x - x = 16
⭆ x = 16
#CarryOnLearningwhat is the additive inverse of x+3
Answer:
-x-3
Step-by-step explanation:
(x+3) + the additive inverse = 0
the additive inverse = -(x+3)
f(x) = -4x + 5
g(x) = x2 + 3x
Answer:
f(x)=21
g(x)= x^3+x^2
Step-by-step explanation:
6 ( x + 1) - 5 (x + 2)
Answer:
x-4
Step-by-step explanation:
6x+6-5x-10=
x-4
( you have to multiply what is inside the parenthases to get to the first step that i did)
Answer:
x−4
Step-by-step explanation:
Developing spiritual wellness includes:
A.
Finding an inner peace
B.
Participating in self-nurturing activities
C.
Respecting other people
D.
All of the above
Answer:
The answer is D all of the above
Step-by-step explanation:
Being spiritually well means to be clean and pure thus meaning having inner peace, participating in self nurturing activities and being respectful of others.