René Descartes was the person who created analytic geometry and the Cartesian coordinate system
Tell whether each graph is a function and justify your answer. Which graph is not a good representation of a real-world situation? Explain.
Using the function concept, it is found that:
Graph B is a function because each value of x corresponds to exactly one y-value.In a function, one value of the input can be related to only one value of the output.
In a graph, it means that for each value of x(horizontal axis), there can be only one respective value of y(vertical axis).In this problem, at Graph A, when x = 5, for example a vertical line crosses the function 3 times, hence there are 3 respective values of y for x = 5, and the same is valid for other values of x, hence it is not a function.
At Graph B, for each value of x, there is only one value of y, hence it is a function.
Hence:
Graph B is a function because each value of x corresponds to exactly one y-value.
To learn more about the function concept, you can take a look at https://brainly.com/question/12463448
Given that
f
(
x
)
=
4
x
−
2
and
g
(
x
)
=
2
x
, evaluate
g
(
f
(
5
)
)
Answer:
36
Step-by-step explanation:
#4 (Show your work)
Pablo worked 3 jobs last summer. Pablo made $767.56 kifeguarding. $598.99 mowing lawns, and $643.33 house-sitting. How much money did Pablo earn doring summer?
Answer:
$2009.88
Step-by-step explanation:
767.56+598.99+643.33 = $2009.88
plz help ppl keep putting links
Answer:
∠DAB=140
∠BAC=60
∠EBF=40
∠ACB=80
∠BCG=100
Step-by-step explanation:
Tommy is reading at a rate of 4 pages every 16 minutes. Write an equation that shows Tommy’s reading rate in pages per minute.
Answer:
0.25 pages per minute
Step-by-step explanation:
4 pages per 16 mins.
4/16 = 0.25
0.25 pages per minute
its a word equation, hopefully this helped!
Use exponents to write each expression. Then evaluate the expression. 3x3x3x3x3
Step-by-step explanation:
3 to the power of 5
3^5
= 3x3x3x3x3
= 243
Answer:
243
Step-by-step explanation:
3^5=243
angelo's mother put $50 on a lunch card he spends the same amount each day for lunch. what is the constant rate of change for this function. choose two ordered pairs and write a ratio that can be used to find the slope or constant rate of change.
Given that Angelo spends the same amount everyday from the amount in
the lunch card, the function of the amount remaining is a linear function.
The constant rate of change of the function is; -5.25The two ordered pair used to find the constant rate of change are; (1, 44.75) and (2, 39.5)Reasons:
The amount Angelo's mother put on the lunch card = $50
A possible table of values to the question is presented as follows;
[tex]\begin{tabular}{r|c|c|c|c|}Days&0&1&2&3\\Money Remaining&&44.75&39.5&\end{array}\right][/tex]
Required:
The constant rate of the function that gives the amount remaining from the
amount Angelo's mother put on his lunch card.
Solution:
[tex]Slope \ or \ constant \ rate \ of \ change = \mathbf{\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}}[/tex]The two ordered pair that can be used to find the slope or constant rate of change are;
(x₁, y₁) = (1, 44.75), and (x₂, y₂) = (2, 39.5)
With the above two ordered pairs, we have the constant rate of change of the function given as follows;
[tex]Constant \ rate \ of \ change\ (The \ slope) =\dfrac{39.5-44.75}{2-1} = \mathbf{ -5.25}[/tex]
The constant rate of change for the function that gives the amount remaining in the lunch card is; -5.25
Learn more about the constant rate of change of a function here:
https://brainly.com/question/10007759
https://brainly.com/question/16644839
I just need the answer to the first question (16) plz thx
A)Evaluate g(0)
B)Find x if g(x)=0
C) domain and range
Answer:
a) g(0) = -4
b) x = -2 or +2 for g(x) = 0
c) domain: all real numbers; range: y ≥ -4
Step-by-step explanation:
a)g(0) is the value of the function when x=0. That is where the function crosses the y-axis. g(0) = -4.
__
b)g(x) = 0 where the graph crosses the x-axis. The x-values there are ...
x = -2 and x = 2
__
c)The domain is the horizontal extent of the graph. Here, we assume the graph extends to infinity both in the upward direction and to the left and right. Thus the horizontal extent (domain) is from -∞ to +∞, or "all real numbers."
The point where the graph crosses the y-axis is a minimum. There are no y-values below that point. So, the vertical extent (range) of the graph is from y=-4 to +∞.
y ≥ -4 . . . . range
How do I factor this problem?
List the factors for 48 and -16 and find the greatest common factor .
48= 1 ,48
2, 24
4, 12
6, 8
16 = 1,16
2,8
4, 4
The Greatest common factor between these two is 8. Because they have a 8 in common.
8(6x^2-2x)
hellp and u git a braintasic
Answer:
whats the question?? lol
Step-by-step explanation:
A scale of a model has a scale of 1:360.
A. The actual length of the football field including the end zones is 120. how long in inches is the football field in the model?
B How many times the length of the model is the length of the actual stadium
Answer:
120 yards,360 feet's of length and 53 1/3 yards,160 feet of width
Discuss how to convert 15 in. to yd. (need ko po nganon)
Answer:
To convert 15 inches to yards you need to divide 15 by 36 to get 41.67 yards tep-by-step explanation:
SOLVE
5x + 2y = 37
y = x + 8
Write the solution below.
Answer:
x=3
y=11
Step-by-step explanation:
5x + 2y = 37
y = x + 8
5x+2(x+8)=37
5x+2x+16=37
7x=21
x=3
y = (3) + 8
y=11
part A :A rocket scientist needs to find the overall thrust of a new rocket design. The rocket has two stages: Stage A and Stage B. Stage A’s thrust is defined by the expression 11.2x + 6.4 and Stage B’s thrust is defined by the expression 7.4x − 2.9.
Part b: An engineer accidentally reads the blueprints incorrectly and installs the Stage B thrusters upside-down. What is the combined thrust of the rocket if Stage A is firing normally, but Stage B is applying reverse (negative) thrust?
Answer:the answer is that if thruster b is going the opposite way it will stay in 1 place as thruster a is firing up to make the rocket fly if thruster b is going the opposite way it will just hover with that being said that's the answer
Step-by-step explanation:
24 kg of tomatoes cost $216 how much would one kg cost
Answer:
$9
Step-by-step explanation:
Cost of 24 kg of tomatoes = $216
Cost of 1 kg of tomatoes = 216/24
= $9
Hope it helped you!
round 8.6 to the nearest whole number
Answer:
the answer is 9
Step-by-step explanation:
2=2m−7 SOLVE FOR M PLS AND THANK YOU
Answer:
m = 4.5
Step-by-step explanation:
2 = 2m - 7
add 7 to both sides
9 = 2m
divide by 2 on each side
4.5 = m
CHECK:
2 = 2(4.5) -7 (TRUE)
2 · 4.5 = 9
9 - 7 = 2
I hope this helps!
Answer:
m=4.5
Step-by-step explanation: First, add 7 to each side and you get 9=2m. divide each side by 2 and you get m=4.5
Solve the formula for converting temperature from degrees Celsius to degrees Fahrenheit for C.
F = 9/5C + 32
F - 32 = 9/5C
C = 5/9(F - 32)
Correct answer: A
Hope this helps! :)
Solve three fourths times two thirds(PLEASE i'M FAILING MATH!!!!!!!!!!!!!!!!!!)
Answer:
6/12 or 1/2 If you simply
Step-by-step explanation:
multiply straight across
Answer:
1/2
[tex] \frac{3}{4} \times \frac{2}{3} = \\ \frac{3 \times 2}{4 \times 3} = \frac{6}{12} or \: \frac{1}{2} [/tex]
what is 5x to the power of 2 times 4x to the power of 3 divided by 4
Answer:
5x^5
Step-by-step explanation:
5x^2*4x^3/4
Divide
5x^2*1x^3
Multiply and Calculate
5x^5
answer: [tex]25x^{3}[/tex]
steps to solve:
→ let's write this out as an equation instead of in word form. 5x to the power of 2 times 4x to the power of 3 divided by 4 is [tex]\frac{5^{2} * 4x^{3}}{4}[/tex].
→ first, calculate the power of [tex]5x^{2}[/tex]. [tex]5x^{2} = 25[/tex], so now we have [tex]\frac{25^{2} * 4x^{3}}{4}[/tex]
→ now, multiply the monomials. [tex]25 * 4x^{3} = 100x^{3}[/tex].
→ [tex]\frac{100x^{3}}{4}[/tex]. we need to cross out the common factor, which is 4. 100 divided by 4 is 25. we're now left with [tex]25x^{3}[/tex].
so, [tex]25x^{3}[/tex] is the answer
What is the sum of ( x - 4) and (4x -1)?
Answer: 5x-5 or 5(x-1)
Step-by-step explanation:
1. take away parentheses, add because asking for "sum"
=x-4+4x-1
2. add
=5x-5
3. if u need to factor it:
5(x-1)
Please help me with percentages.
Answer:
I think the answer would be 10%.
Helppp I’m having problems with fractions
Answer:
The fourth one
Step-by-step explanation:
I know that is correct
The radius of the front wheel of Brian's bike is 45cm.
Brian goes for a cycle and travels 78.15km.
How many full revolutions did Brian's front wheel complete?
Answer:
Each wheel has diameter 45cm. James cycles his bicycle in a straight line in the playground. The front wheel makes 15 complete revolutions.
Step-by-step explanation:
tell me if im wrong.........
(-4,-1), (8,-4) in point slope-intercept form. PLEASE HELP ME ITS DUE TODAY
Answer:
-1 + 4 = -0.25(-4-8)
Step-by-step explanation:
Step 1: graph your points
Step 2: draw a line thru the points
Step 3 find the slope: -0.25 or -1/4
SLOPE POINT FORM:
y-y1=m(x-x1)
(-1)-(-4) = -0.25(-4-8)
-1 + 4 = -0.25(-4-8)
Hope that helps
Let's find the unknown variables in the following cases. ) (a) If C.P. Rs 150 and profit = Rs 12, find profit percent
Answer:
solution, cp=Rs150 profit=Rs12 Now, profit percent=profit% of cp or,profit percent=12/100 x Rs150 Therefore,profit percent =18%
Step-by-step explanation:
Answer:
8%
Step-by-step explanation:
We know that
Profit% = Profit/CP × 100
=> 12/150 × 100
=> 12/15 × 10
=> 4/5 × 10
=> 8%
what is the area of a oblong with a base of 7cm and a height of 4 cm
Answer: 7*4 is 28 square centimeters...
solve y=f(x) for x. Then find the input when the output is -3. f(x)=3x^3
x=___
The input is____when the output is-3
[tex]f(x) =-3\\\\\implies 3x^3= -3\\\\\implies x^3 = -1\\\\\implies x = \sqrt[3]{-1} ~~\text{or}~~ x= \sqrt[3]{-1} \left(\dfrac{-1 \pm i\sqrt 3}2\right)\\[/tex]
[tex]\text{For x} \in \mathbb{R}, ~\text{the answer is x} = \sqrt[3]{-1} = -1[/tex]
GEOMETRY QUESTION NEED HELP ASAP 50 POINTS PLEASE PUT FULL ANSWER!!!! 2 part question find the answer to the one in the picture also find the measure of angle 7 also please
The diagram shows a map of three land masses, numbered region 1, region 2, and region 3, connected via bridges over water. Each bridge can be traversed in either direction. (diagram is attached)
Show that there are 10 walking routes that start and end in region 2, crossing over water exactly twice. Assume each bridge, when crossed, is fully traversed to the next land mass.
Answer:
Explanation
Step-by-step explanation:
If you look closely, every route connected to region 2 could go to either region 1 or 3, which each could go back to region 2 in 3 different formats. For example the top bridge of region 2, could go through region 1, then region 3 then to the middle bridge of region 2. This can happen for all three of the other route when going backs and works for all bridges in region 2.