We are given two functions.
[tex]f(x)=x-4\\g(x)=-x-2[/tex]
The point that represents the equation [tex]f(x)=g(x)[/tex], will also be the intersection of those two lines, meaning we can set the two equations equal to each other and solve for [tex]x[/tex].
[tex]f(x)=g(x)\\x-4=-x-2\\2x=2\\x=1[/tex]
Now that we are given the x value, we can plug this value back into either equation and solve for the y value.
[tex]f(1)=1-4\\f(1)=-3[/tex]
The point of intersection will be [tex](1,-3)[/tex].
Hope this helps!
Answer:
x=-1
Step-by-step explanation:
x-4=-x-2
x+x=-2+4
2x=-2
x=-1
A number cube is labeled 1 through 6. What is the probability of NOT
rolling a 2?
Answer:
Step-by-step explanation:
each of the 6 number has a 1/6 chance of being rolled
1 2 3 4 5 6
1/6 1/6 1/6 1/6 1/6 1/6
Every time the cube is rolled there is a 6/6 chance of any number comes up
1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6 = 6/6 or 1
What is the probability of NOT rolling a 2? Any other number
1 2 3 4 5 6
1/6 + 0 + 1/6 + 1/6 + 1/6 + 1/6 = 5/6 or 0.8333
The graph of f(x) = 1/x has been transformed to create the graph of g(x) = a/x
What is the value of a?
2
-3
3
-2
Answer:
2/x
Step-by-step explanation:
The easy way:
take point (2,1) on graph g
subst the values into g(x)=a/x
1=a/2
a=2
thus -> 2/x
The value of a is 2 for the transformed function g(x) = a/x.
What is a graph?
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The value of a is calculated as,
Take point (2,1) on graph g and substitute the values into g(x)=a/x
1=a/2
a=2
Therefore, the value of a is 2 for the transformed function g(x) = a/x.
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Ayo fam, can I get a little help here
Answer:
1,2,3 have to equal 180 so 90+50 = 140 and 180 subtract 140 = 40 degrees for 1. 3 and 6 are the same and 1 and 4 are the same 4 is 40degrees
work out: 0.03 x 0.6
0.03 x 0.6
= (3 x 6) / 1000
= 18 / 1000
0.018
A refrigerator has a marked price of $5000. Mr. Jones bought it on hire purchase for $7500. What is the extra cost Mr. Jones paid as a percentage of the cash price? *
A) 66.6%
B) 33.3%
C) 50%
D) 75%
you and 2 friends go out to dinner. The food bill comes to $35.20, and you are charged an aditional 6% sales tax. You then want to leave an 18% tip just in the price of food. If you split the amount evenly how much should each person pay?
Answer:
31.94
Step-by-step explanation:
Answer:
13.85.
Step-by-step explanation:
Hi I need help with this hope someone has the answer.A triangular window is above the door to a café. The length of the base of the window is 12 feet, and the height is 10 feet
What is the area of the window?
Answer:
the answer is 60
Step-by-step explanation:
12×10=120
120÷2=60
Step-by-step explanation:
Sample Response: The height of the triangle will be twice the height of the rectangle. The area of a triangle is ½ bh and the area of a rectangle is bh. If the bases are the same, then the height of the triangle has to be double that of the rectangle in order to get the same area.
Plz I need help ASAP
Answer:
22
Step-by-step explanation:
5.50p=5.50x4=22
I hope this is the answer you're looking for! :)
I just edited it.
roup of softball players are training on a square-shaped sports ground with sides measuring 100 yards each. The players run around for 10 minutes to warm up. How many laps around the sports ground do they run given their average speed is 5 yards per second? Please add an explanation. I will mark the brainliest to whoever's answer is best and YOU GET 50 Points.
Answer:
7.5 laps
Step-by-step explanation:
First, you wanna figure out how many yards is in one lap
to do this, you would multiply 100 and 4 (four because there's four equal sides in one lap)
100 x 4 = 400
You know their speed is 5 yards per second, so you wanna find out how many seconds they will be running
to do this, you multiply 60 (sixty because there's sixty seconds in one minute) and 10 (ten because that's the given amount of minutes)
60 x 10 = 600 seconds
now to found out how much they will run in 10 minutes you will multiply 600 by 5
600 x 5 = 3000 yards
now to find how many laps this is, you can divide 3000 yards by 400 yards
3000 ÷ 400 = 7.5 laps
Write the equation of a circle that has a diameter of 12 units if its center is at (4,7).
PLZ HELP ASAP! I will give you BRAINLIEST
9514 1404 393
Answer:
(x -4)^2 +(y -7)^2 = 36
Step-by-step explanation:
The equation of a circle with radius r and center at (h, k) is ...
(x -h)^2 +(y -k)^2 = r^2
When the diameter is 12, the radius is 6 (half the diameter). Then for your center point, the equation is ...
(x -4)^2 +(y -7)^2 = 36
Can some tell me which one is correct and how to answer the “ how do you know” part
Answer:
Student B
Step-by-step explanation:
You know because:
The common factor between 3 and 6 is 3.
You can factor 2 x's from both parts and 2 y's.
Therefore, it would be
3x^2y^2.
write the product form of 3 a² b ³
Answer:
a³-b³= (a-b)(a²+ab+ b²)
Step-by-step explanation:
Which of the following is an irrational number?
A. Vo
B. 73
C. 1.36
D. -0.19
Answer:
A
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
root three is irrational
You practice some free throws. During one practice, you make 48 baskets and you miss 12. What percent of the total shots did you make?
Choose Yes or No to tell whether the symbol will be reversed when the variable is isolated in each inequality. –10.5 < 3a b6 ≤ 7 –4.5c > 9 –215 ≤ –52d
Answer:
1). No, symbol won't be reversed
2.) No, symbol won't be reversed
3.) yes, symbol will be reversed
4.) No, symbol won't be reversed
Step-by-step explanation:
1.)
-10.5 < 3a
-10.5 /3 < 3a /3
-3.5 < 3 (No)
2.)
b/6 ≤ 7
Multiply both sides by 6
b/6 * 6 ≤ 7 * 6
b ≤ 42 (No)
3.)
-4.5c > 9
Dibide both sides by - 4.5
-4.5c / - 4.5 > 9/-4.5
c < 2 (yes)
4.)
–21/5 ≤ –5/2d
Multiply both sides by 2/5
-21/5 * 2/5 ≤ - 5/2d * 2/5
-21/2 ≤ - d
21/2 ≤ d (No)
help with this question please
If the sum of two numbers is 67, and there difference is 33. The largest number is what?
Which is the following functions is graphed below?
Answer:
A.y=|x|+7
Step-by-step explanation:
Help ASAP. This is vital to my math grade. I will award 100 points and Brainly to whoever can give me the correct slope. I need this question correct in order to pass my math class. This is for a dual enrollment class. This is timed
Answer:
-2/2
Step-by-step explanation:
I think the slope is -2/2 I hope I got this right, sorry if I got it wrong. Anyway, you solve this by plotting your two points, then doing rise over run (down 2 and over to the right).
Your welcome :D.
Answer:
Slope: -1
Step-by-step explanation:
( 3, -6) and (5, -8)
m= (y2-y1)/(x2-x1)
m = ( -8 + 6)/ (5-3)
m = (-2)/2
m = -1
help me please..........
Answer:
oof thats hard
Step-by-step explanation:
Which statement is not true about the data shown by the box plot below?
a.
The median of the upper half of the data is 66.
b. The data point 30 is the smallest element of the data.
C.The median of the data is 58.
d. The interquartile range is 26.
Answer:
a
Step-by-step explanation:
2 of 6
Brian and Colin are marking exam papers.
Each set takes Brian 43 minutes and Colin
1 hour. Express the times Brian and Colin
take as a ratio in its simplest form.
Step-by-step explanation:
Brian takes = 43 minutes
Colin takes = 1 hour = 60 minutes
In ratio,
43/60
Line Ris represented by the equation y ==x+2. Line S is perpendicular to Line R, and passes through
the point (-6,4). What is the equation for Line S?
A. y =
B. y = x +6
C. y=-*-5
D. y = -x + 8
Answer:
y = -x - 2
Step-by-step explanation:
y = x + 2 {Compare with y = mx + c}
Slope = m1 = 1
Slope of the line S = m2 = -1/m1 = -1/1 = -1
(-6 , 4)
y -y1 = m (x -x1)
y - 4 = (-1)(x - [-6] )
y -4 = (-1)(x + 6)
y -4 = (-1)*x + (-1) *6
y - 4 = -x - 6
y = -x - 6 + 4
y = -x - 2
Can someone please help me
Answer:
a) y = 1.6x .
b) 197.8 .
Step-by-step explanation:
a) y ( Weight lbs. ), x ( Week ), Constant rate ( 1.6 ) .
b) 1.6 x 16 = 25.6 .
Hope this helps !
Answer:
215.4
Step-by-step explanation:
first u do 223.4 - 221.8 to find how much we losses a week which is 1.6 then u do 218.6 - 1.6 = 217 (week 5) then 217 - 1.6 = 215.4 (week 6)
Is -6 a solution for the equation 3(2x - 8)= -4(-6 +21)?
Answer:
YeS, it is a solution
Step-by-step explanation:
Here, we want to check if -6 is a solution to the question
What we have to do is to replace x by -6
If what we have on the left equals that on the right, then -6 is a solution
Thus, we have it that;
3(2(-6) -8)
= 3(-12-8)
= 3(-20) = -60
for the right hand side
-4 (15) = -60
This means both sides are equal and that -6 is a solution
Can someone help me quickly?
Jamila has a recipe for biscuits.
To make 12 biscuits
250 g oats
125 g butter
100 g sugar
2 tablespoons syrup
Jamila makes 36 biscuits.
Wok out how much butter she needs.
Answer:
Jamila need's 375g of butter
Step-by-step explanation:
12 biscuits , but she wants to make 36,
12x3 = 36 so times to rest of the ingredients by 3
250x3=750g Oats
125x3=375g Butter
100x3=300g Sugar
2x3= 6 tablespoons of syrup
Jamila needs 375 g of butter to make 36 biscuits.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
If the recipe makes 12 biscuits and Jamila wants to make 36 biscuits, she needs to triple the recipe.
To triple the amount of butter, we can multiply 125 g by 3:
125 g x 3 = 375 g
Therefore,
Jamila needs 375 g of butter to make 36 biscuits.
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the distance an asteroid travel is directly proportional to the amount of time it travels if an asteroid travels 112,000 miles in 2 hours how far will it travel in 24 hours
Answer:
1,344,000
Step-by-step explanation:
since 2 hours have gone by divide 112,000 by 2 you will get 56,000 meaning the asteroid is going 56,000 Miles Per Hour now Multiply 56,000(MPH) by 24 (Hours)
You're Answer: 1,344,000
annual sales for a company are $149,999 and are increasing at a rate of 6% per year. write an exponential growth function to model this situation. then, find the annual sales after 7 years.
Answer:
S(t) = 149999(1.06)^t$225543Step-by-step explanation:
Initial value is $149999Increase rate is 6% per year = 1.06 timesThe model of the growth is:
S(t) = 149999(1.06)^t, where S- amount of annual sales, t- time in years, 1.06- growth rate per yearAnnual sales after 7 years:
S(7) = 149999(1.06)^7 = $225543Solve for X and round to the nearest tenth
Answer:
3.4
Step-by-step explanation:
cosx = adj/hyp
cos61° = x/7
x= cos61° * 7
*degree mode
3.39
Franky and Francesca applied to the same college. They looked up the average SAT score of students admitted to that college. Franky’s SAT score was 140 points above the average score. Francesca’s SAT score was 40 points below the average score. Which expression represents the difference in their scores?
❘-40 - 140❘
-❘140❘ - ❘40❘
-❘140❘ + ❘-40❘
❘140 - 40❘
Answer:
❘-40 - 140❘
Step-by-step explanation:
Given that,
Franky’s SAT score was 140 points above the average score.
Francesca’s SAT score was 40 points below the average score.
We need to find the expression that represents the difference in their scores. It can be calculated as follows :
d = ❘-40 - 140❘
= -180
Hence, the correct option is (A) "❘-40 - 140❘".