Answers
The solution to the equation f(x) = g(x) is any x-value that makes the equation true. In terms of using graphs, the solutions are the x-coordinates of any point of intersection.
So if the graphs intersect at (1,5), then the solution is x=1.
This checks, because f(1) = 5 and g(1) = 5, so f(1) = g(1).
Related Questions
-5x+35=40
what are the steps?
Answers
Answer:
Step-by-step explanation:
-5x + 35 = 40
Subract 35 from both sides -5x + 35 - 35 = 40 - 35 = (-5x = 5)
Divide -5 from both sides -5x / -5 = 5 / -5 =
x = -1
Answer:
x= -1
Step-by-step explanation:
First subtract 35 from both sides to get -5x by itself:
-5x+35=40
-35 -35
-5x=5
Then divide by -5:
[tex]\frac{-5x}{-5}[/tex] = [tex]\frac{5}{-5}[/tex]
x=-1
Hope this helps! :)
4. Find a value of x that is a solution to 5(x - 3) = x + 13. Describe how you found the solution
Answers
Answer:
x=7
Step-by-step explanation:
5(x - 3) = x + 13
Distribute the 5
5x-15 = x+13
Subtract x from each side
5x-15-x = x+13-x
4x-15 =13
Add 15 to each side
4x-15+15 = 13+15
4x= 28
Divide each side by 4
4x/4 = 28/4
x = 7
Answer:
x = 7
Step-by-step explanation:
First
5(x - 3) = 5x - 15 by distributing the 5 on each variable and number in the parenthesis.
Then
5x - 15 = x + 13 which you add 15 (or 5x - 15 + 15 = x + 13 +15) on both sides to have the numbers on one side because it must be the opposite to cancel out the 15 on the original/previous side.
Afterwards
5x = x + 28 now we must get the x to the other side and using the same logic as before you move the x to the other side by subtracting it (or 5x - x = x + 28 - x) to the other side equaling 4x = 28.
Finally
4x = 28 you need to divide each side by 4 to cancel out the 4 on the x since we must find out what x is (or 4x/4 = 28/4), and you should get x = 7.
I need help as soon as possible please!!!!
Answers
Answer:
Which grade math is this? I haven't learned it
Lin's family has completed 70% of a trip. They have traveled 35 miles. How far is the trip?
Group of answer choices
24.5 miles
59.5 miles
200 miles
50 miles
Answers
Answer:
70x = 35
100
cross multiply
70x= 35 × 100
70x= 3500
divide both side by 70
70x = 3500
70 70
x= 50miles
/////////////////////////
Answers
Answer:
E. 945Step-by-step explanation:
The shortest root is when you go to next level down at each move.
From the black triangle you can move to 3 triangles below. The level below has 5, then 7, then 9 triangles.
The number of shortest roots is:
3*5*7*9 = 945Correct choice is E
Please help
Consider the graph of g(x)= 2-8x12. identify the y- intercept, the vertex, and the zero of the functions.
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hope this helps
Use a table to find the solution to the situation.
Larry's small business has $30,000 in its bank account and makes automatic monthly payments that total
$10,000. If he stops making deposits to that account, when would the automatic payments make the
value of the account zero?
The value of the account would be zero in months.
Answers
Answer:
Step-by-step explanation:
30,000 /10,000= 3 months
Solve the given equations. PLEASE show your work. Answer if it has No solution or Infinite many solutions.
-17 + 2(1 + 3x) = x - 5(3 - x)
Answers
Answer:
Infinite.
Step-by-step explanation:
[tex]-17+2(1+3x)=x-5(3-x)[/tex]
Expand:
[tex]-17+2+6x=x-15+5x[/tex]
[tex]6x+15=6x+15[/tex]
[tex]6x=6x[/tex]
[tex]0=0[/tex]
Since 0=0 is true, then there are infinite solutions as no matter what value you put in for x, it will never affect the outcome of 0=0 which is true.
Life Pre-intermediate - Unit 3
MULTIPLE CHOICES: Choose the correct option (a-c).
1. It's not far to the town centre and it's quicker if you go ____ foot.
A. on B. by C. with
2. We are moving our furniture ____ lorry.
A. by B. with C. on
3. Which ____ does the train to Norwich leave from?
A. platform B. gate C. stop
4. For the History museum ____ the bus at the next stop.
A. drop off B. get off C. check in
5. I can't park at the bus station but I can ____ outside when you arrive.
A. get you off B. drop you off C. pick you up
6. The bus ____ is more expensive now than it was the last time I was here.
A. price B. fare C. cost
7. Excuse me, does the ticket machine give ____?
A. price B. fare C. change
8. There is a taxi ____ right outside the train station.
A. station B. stop C. rank
9. What time do you want me to pick you ____ from the station?
A. by B. off C. up
10. We have to ____ at the airport two hours before the plane leaves.
A. check in B. get on C. book
Answers
Answer:
1.A
2.B
3.C
4.B
5.B
6.B
7.C
8.C
9.C
10.A
It's not far to the town centre and it's quicker if you go on foot. We are moving our furniture with lorry. Which stop does the train to Norwich leave from? For the History museum get off the bus at the next stop. I can't park at the bus station but I can drop you off outside when you arrive.
What is a History museum?Museums and galleries generally provide insight into human history. The lessons we may learn from historical occurrences, wonders, and tragedies are inestimably important, even though no museum claims to provide a complete picture. This is especially true when things are tumultuous.
In the interest of society, a museum investigates, gathers, conserves, interprets, and presents both tangible and intangible history. Through accessibility, inclusivity, and public accessibility, museums promote diversity and sustainability.
Thus, The bus fare is more expensive now than it was the last time I was here. Excuse me, does the ticket machine give change? Excuse me, does the ticket machine give change? There is a taxi rank right outside the train station. What time do you want me to pick you up from the station? We have to check in at the airport two hours before the plane leaves.
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A candle factory makes colored candles to sell in packages. Which of the following situations best represents a proportional relationship?
Answers
Answer:
D Each package has 8 yellow candle chips. A total of 18 packages will have 144 yellow candle chips.
Step-by-step explanation:
8/1 is proportional to 144/18
In option C and D the number of object increases other object also increases. Therefore, options C and D are the correct answers.
Given that, a candle factory makes colored candles to sell in packages.
What is a proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".
A) Does not a represents a proportional relationship
B) Does not a represents a proportional relationship
C) The cost of one package is $1.98 and the cost of 10 packages is $16.99.
Here, the number of packages increases, the cost also increases. So, it is direct proportion.
D) In one package there are 8 yellow candle chips and 18 packages will have 144 yellow candle chips.
Here, the number of packages increases, the number of chips also increases. So, it is direct proportion.
In option C and D the number of object increases other object also increases. Therefore, options C and D are the correct answers.
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Please take a look at the picture.
Answers
Answer:
[tex]1 \frac{1}{12} [/tex]Step-by-step explanation:
Question:To find the value of b.Equation:[tex]b - \frac{7}{4} = - \frac{2}{3} [/tex]Solution :[tex] = > b - \frac{7}{4} = - \frac{2}{3} [/tex]
[tex] = > b = - \frac{2}{3} + \frac{7}{4} [/tex]
As when -7/4 goes on the other side becomes +7/4[tex] = > b = \frac{ - 8 + 21}{12} [/tex]
Simplification[tex] = > b = \frac{13}{12} \: or \: 1 \frac{1}{12} [/tex]
(Ans)1. A ride descends from 100 meters straight down to 0 meters. The distance from the ground at any time is represented by the graph. The slope of the line is -4/5 between 0 and 125 seconds. How far did the ride descend in the time indicated by the marked vertical distance on the graph? (Orange line)
2. A car travels at a rate of 65 mph on a flat highway. How long did it take the car to get from a distance of 123 miles to 318 miles on its journey? (purple line)
Answers
9514 1404 393
Answer:
12 m3 hoursStep-by-step explanation:
1.The slope of the line is "rise"/"run". Here, the "run" is given as (27 s -12 s) = 15 s. So, we have ...
(change in distance)/(15 s) = -4/5 m/s
change in distance = (-4/5 m/s)(15 s) = -12 m
The ride descended 12 meters in the time indicated on the graph.
__
2.Again, the slope is "rise"/"run".
65 mi/h = (318 mi -123 mi)/(travel time)
travel time = (195 mi)/(65 mi/h) = 3 h
The car took 3 hours to get from 123 miles to 318 miles.
What ordered pair describes the location of point A?
Enter your answer by filling in the boxes.
HELP ASAP
Answers
Estimate the amount of the tip by rounding the bill to the nearest dollar before calculating.
20% tip on a bill of $37.27
what is the amount of the tip is approximately
Answers
Round $37.27 to $37.00
Then multiply $37 by .2
F(x) = x - 3√×
graph this function
Answers
Y intersects: (0, -square root of 3)
Please help! (Urgent)
Only answer if correct.
I will be asking more so stay tuned.
Answers
Answer: it takes 1/5 revolutions per foot and the slope is 5
Step-by-step explanation:
A bucket holds 5l when full.Find the quantity of water in litres and millilitres when the bucket is 3/4 full.
Answers
Answer:
3.75 lt or 3750 mlts
Step-by-step explanation:
translate the graph of f(x) ___ 3 units
the point ___ is on the graph of g(x)
Answers
Answer:
Down 3 unitsStep-by-step explanation:
Given functions:
f(x) = ∛x and g(x) = ∛x - 3The g(x) is a translation of f(x) down 3 units, as g(x) = f(x) + b is a vertical shift b units (up if b > 0, down if b < 0)
The second part of question is unclear as drop down is not visible to us
Help me answer 1b, thank you!
Answers
Answer:
Step-by-step explanation:
Domain: the values that the x cannot be (in this case, the values that make the denominator equal to 0)
x²-5x+6=0
(x-2)(x-3)=0
x≠ 2, 3
in interval notation: (-∞,2)∪(2,3)∪(3,∞)
We just determined that x≠2 or 3 which means that the vertical aysmptotes are
x= 2,3
To find the holes graph both the numerator and denominator then see if anything cancels
2x²+x= x(2x+1)
x²-5x+6= (x-2)(x-3)
because nothing more to do here there are no holes
The graph of a linear function has a negative slope. Describe the end behavior of this function.
As the value of x increases, the value of y [ A. decreases , B. increases ].
As the value of x decreases, the value of y [ A. decreases , B. increases ].
Answers
Answer:
1. A
2. B
Step-by-step explanation:
It would look like y = -m(x) + b.
For example, m is 1 and b is 0. (You can try any random numbers, but I tried to find the simplest one so it's easy for us to see.) The equation will be y= -x. (you can substitute random numbers in here, too)
If x = 3, y = -3 ; x = 5, y = -5 (x increases, y decreases)
If x = -1, y = 1 ; x = -5, y = 5 (x decreases, y increases)
As you can see from the example,
If the value of x increases, the value of y will decrease and vice versa
For the negative slope equation y = -x as the value of x increases y decreases.
What is a slope?Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line.
Given that the graph of a linear function has a negative slope. Suppose the equation with a negative slope is y = -x.
It would look like y = -m(x) + b.
As an illustration, m is 1 and b is 0. (You can try any random number; however, I looked for the most straightforward one so that we could easily observe it.) It will be written as y=-x. (You can also omit this and use random numbers)
If x = 3, y = -3 ; x = 5, y = -5 (x increases, y decreases)
If x = -1, y = 1 ; x = -5, y = 5 (x decreases, y increases)
Therefore, for the negative slope equation y = -x as the value of x increases y decreases.
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4 CHALLENGE 35 toes—how
many
feet?
Hint Draw a picture to help.
How many in all?
Answers
On a coordinate plane, a straight line and a parallelogram are shown. The straight line has a positive slope and has a formula of y = x. The parallelogram has points E (3, negative 3), F (5, negative 3), H (2, negative 5), and G (4, negative 5). What are the coordinates of the image of vertex G after a reflection across the line y = x? (–4, –5) (4, 5) (–5, 4) (5, –4) Mark this and return
Answers
9514 1404 393
Answer:
(c) (–5, 4)
Step-by-step explanation:
The rule for reflection across the line y=x is ...
(x, y) ⇒ (y, x)
G(4, -5) ⇒ G'(-5, 4)
what is 2x-4y=12 x-3y=17
Answers
Answer:
x=-16
y=-11
Explanation:
2x-4y=12
x-3y=17
first multiply all the numbers of the bottom equation by -2
2x-4y=12
-2x+6y=-34
then cancel the x's, and add the other numbers
2y=-22
solve for y
y=-11
plug y into either the original top or bottom equations
2x-4(-11)=12
2x+44=12
2x=-32
x=-16
or
x-3(-11)=17
x+33=17
x=-16
James made $85.00 in 2 weeks mowing yards. He spent 20% of that buying new tools. How much did he spend on tools? *
10 points
A $15
B $20
C $17
D $14
Answer asap please!
Answers
Answer: c 17
Step-by-step explanation:
Easy
Answer:
C. $17
Step-by-step explanation:
85 x (1/5) = 17
Find the value of x. Show all work.
(7x + 6)°
(6x - 7)º
Answers
Answer:
42x-42
Step-by-step explanation:
(7x)(6x)+(6)(-7)=42x°-42°
8.2 is 2% of what number
Answers
Answer:
Step-by-step explanation:
If 2% × 410 = 8.2 => Divide 8.2 by 410And see if we get as a result: 2% Note: Multiply a number by the fraction 100/100, and its value doesn't change.
Answer:
m = 410
Step-by-step explanation:
Let the number be n. Then:
8.2
--------- = 0.02
n
Cross-multiplying yields 0.02n = 8.2, from which we find n = 410
Recall that a percentage, such as 2%, is equivalent to a decimal fraction, such as
2%
-------- = 0.02
100%
Anita is filling a small pool for her kids. Currently, there are 60 gallons of water in the pool and she is filling
the pool at a rate of 50 gallons every 5 minutes. The pool holds 200 gallons of water.
Which equation represents the amount of minutes (m) that it will take to fill the pool?
A. -10m + 200 = 60
B. -50m + 200 = 60
C.-10m + 140 = 60
D. -50m + 140 = 60
Answers
Answer:
M/140 = 50/60 or C
Step-by-step explanation:
Since the total is 200 it will be the denominator but we already have 60 gallons so we do 200-60=140
the ratio is 50 per 60
Please help me with this question
Answers
Answer:
M: (-2,6)
M': (-2,-6)
X coordinate
M' would be (2, 6)
when it's reflected over the y-axis, the x coordinate changes signs (becomes positive)
There are 54 students in a speech contest. Yesterday, 1/3 of them gave their speeches. Today, 2/3 of the remaining students gave their speeches. How many
Answers
Answer:
18 student gave there speech yesterday
36 students gave there speech today
Step-by-step explanation:
54 total
54 * 1/3 = 18 student gave there speech yesterday
54*2/3 = 36 students gave there speech today
Hope this helps!
(Please mark ask brainiest)
Thanks!
A basketball player made 12 out of 15 free throws she attempted. She wants to know how many consecutive free throws she would have to make to raise the percent of successful free throws to 85%. Write an equation to represent this situation. Solve the equation. How many consecutive free throws would she have to make to raise her percent to 85%? Answer:
Answers
Answer:
Step-by-step explanation:
let x be the number of ADDITIONAL throws
(12 + x) / (15 + x) = 0.85
12 + x = 0.85(15 + x)
12 + x = 12.75 + 0.85x
0.15x = 0.75
x = 5 more successful consecutive throws. or 17 out of 20