A coordinate plane with 2 lines drawn. The first line is labeled f(x) and passes through the points (0, negative 2) and (1, 1). The second line is labeled g(x) and passes through the points (negative 4, 0) and (0, 2). The lines intersect at about (2.5, 3.2) How does the slope of g(x) compare to the slope of f(x)? The slope of g(x) is the opposite of the slope of f(x). The slope of g(x) is less than the slope of f(x). The slope of g(x) is greater than the slope of f(x). The slope of g(x) is equal to the slope of f(x).
Answer:
B. The slope of g(x) is less than the slope of f(x)
Step-by-step explanation:
The slope of f(x) is 2/1 or just 2 and the slope of g(x) is 1/2, less than f(x).
Answer:
B.
Step-by-step explanation:
Helpppp pleaseeee pleaseee please❤️
Answer:
Data A - 5
Data B - 5
Data C - 5
Data D - 6
Step-by-step explanation:
Data A,
Graph for the data shows that there is a distinct value of y (output value) for every input value of x.
Therefore, Data A is a function.
Data B,
Each ordered pair shows exactly one output value for each input value.
Therefore, Data B represents a function.
Data C,
For each input value there is exactly one output value.
Therefore, Data C represents a function.
Data D,
From the given table,
For x = -1 there are two output values y = 27, 39
For x = -2 output values are y = 45, 21
Since for these input values there are two output values, Data D will not be a function.
The Fibonacci sequence 1, 1, 2, 3, 5, 8, 13, 21, … starts with two 1s, and each term afterward is the sum of its two predecessors. Which one of the ten digits is the last to appear in the ones position of a number in the Fibonacci sequence?
Answer:
6
Step-by-step explanation:
Note that any digits other than the units digit will not affect the answer. So to make computation quicker, we can just look at the Fibonacci sequence in $:
$1,1,2,3,5,8,3,1,4,5,9,4,3,7,0,7,7,4,1,5,6,....$
The last digit to appear in the units position of a number in the Fibonacci sequence is $6.
The last to appear in the ones position of a number in the Fibonacci sequence is [tex]6[/tex].
The Fibonacci sequence [tex]1, 1, 2, 3, 5, 8, 13, 21[/tex], … starts with two 1s, and each term afterward is the sum of its two predecessors.
The next terms are:
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946.
Here, it can be seen that [tex]6[/tex] is the last to appear in the ones position of a number in the Fibonacci sequence.
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PLEASE ANSWER ASAP FOR BRAINLIEST!!!!!!!
Answer:
2144.66
Step-by-step explanation:
V = 4/3 π r^3
Answer:2144.66
Step-by-step explanation:
formula for volume of a sphere- v=4/3 pi r^3
v=4/3 pi 8^3
V= 4/3 pi 512
v=2048pi
v=2144.66
A square and rectangle have the same area. The length of the rectangle is 5cm more than twice the length of the side of the square. The width of the rectangle is 6cm less than the side of the square. Find the length of the side of the square.
Answer:
10cm
Step-by-step explanation:
First let's define variables a and x:
a = area of rectangle and square
x = side of square
Now let's create an equation to calculate a using the square and an equation to calculate a using the rectangle:
Using square: [tex]x^{2} =a[/tex]
Using rectangle: [tex](5+2x)(x-6)=a[/tex]
Now we want to solve for x so let's combine the equations since they are both equivalent to a
[tex](5+2x)(x-6)=x^{2}[/tex]
Simplify
[tex]x^{2}-7x-30 = 0[/tex]
Solving this we get 10 and -3
Since it is impossible for a square to have a negative side value we can conclude that the value is 10cm
This can then be checked by plugging in 10 as x in our equations and seeing if we get the same a value:
Using square: [tex]10^{2} = 100[/tex]
Using rectangle: [tex](5+2(10))(10-6) = (25)(4) = 100[/tex]
if f(x)= x/2-3 and g(x)=4x^2+x-4 find (f+g) (x)
Answer:
(f+g) (x)=4x^2+3x/2-7
Step-by-step explanation:
f(x)= x/2-3 and g(x)=4x^2+x-4
(f+g) (x)=?
(f+g) (x)=f(x)+g(x)
(f+g) (x)=x/2-3+4x^2+x-4
combining like terms
(f+g) (x)=4x^2+x/2+x-3-4
(f+g) (x)=4x^2+3x/2-7
hope it helps. Brainliest please
Please please help guys
Answer:
234.85
Step-by-step explanation:
This was easy!!!
(The gardener comes 4 times a month... so divide 85.40 by 4 and you will get 21.35. Each time he comes, he gets 21.35 and by the end of the month, he has 85.40. It says he already came 11 times. So 4 + 4 = 8 + another 4 that equals 12. He came only two months and a few weeks. This means multiply 85.40 by 2 so you would get 170.8. It said he came 11 times so substract 11 from 8 and you would get 3. So multiply 21.35 by 3 and get a total of 64.05. Add 170.8 and 64.05 to get 234.85!!! The answer is 234.85 or C!!!!
Answer: C. $234.85
Explanation: $85.40 (how much Katrina pays each time the gardener comes) * 4 (the number of times the gardener comes each month) = $234.85 (how much the gardener made)
Find the area of the following shape, given its curves are made from parts of circles with diameters indicated on the diagram. Give your answers in terms of π .
Answer: Area = 26π + 20 cm²
Step-by-step explanation:
There are 2 large semicircles = 1 large circle
There are 2 small semicircles = 1 small circle
There is 1 rectangle.
Find the Area of each shape above and then find their sum.
1) Large Circle: A = πr², d = 10 --> r = 10/2 = 5
A = π(5)²
= 25π
2) Small Circle: A = πr² , d = 2 --> r = 2/2 = 1
A = π(1)²
= π
3) Rectangle: A = length × width, L = 10 w = 2
A = 10 × 2
= 20
Total = Large + Small + Rectangle
= 25π + π + 20
= 26π + 20
I just wanted to say that the person who wrote the actual answer is a life saver and that answer is very correct :)
a gram is equevalint to 0.0353 ounces one ounce is how may grams round to the nearest tenth
Answer:
28.3
Step-by-step explanation:
Since 1 gram = 353/10000 ounces, then to make the right side 1, you must multiply by the reciprocal, or 10000/353 to make it 1. Then you get 10000/353 grams = 1 ounce. Now, we divide and round to the nearest tenth. This is 28.3 grams.
What is the question?
Answer:
(23, 4)
Step-by-step explanation:
If we use substitution, we need to rewrite the 2nd equation so we can substitute it into the first.
Step 1: Rewrite 2nd equation
x = 5y + 3
Step 2: Substitution
2(5y + 3) - 5y = 26
Step 3: Distribute
10y + 6 - 5y = 26
Step 4: Combine like terms
5y + 6 = 26
Step 5: Isolate y
5y = 20
y = 4
Step 6: Find x
x - 5(4) = 3
x - 20 = 3
x = 23
And we have our final answer!
Answer:
(23,4)
Step-by-step explanation:
x-5y=3
+5y=+5y
x=3+5y
-- Plug that into X for the other Equation
2(3+5y)-5y=26
Solve for y
2(3+5y)-5y=26
Distribute the 2
6+10y-5y=26
Simplify
6+5y=26
-6 =-6
5y=20
(divide by 5)
y=4
plug 4 in the either equation and solve for x
x-5(4)=3
x-20=3
+20=*20
X=23
The following table shows the number of medals won in the 2008 Olympics for swimming by the top five countries.
Country
Number of Medals
USA
31
Australia
20
Great Britain
6
China
6
France
6
How many degrees will the Australia section be in a circle graph of this data?
52
20°
29°
104
Answer:
I believe it is 104 degrees.
Step by Step: First, You add all the medals for all the countries, giving you 69. Then, you make Australia's medals a fraction of 69, so 20/69. After this, since a circle has 360 degrees, you make x/360 and cross multiply. This takes you to 69x=7200. Now divide 7200 by 69, which gets you 104.347, or 104 degrees.
Answer:
104 deg
Step-by-step explanation:
Total number of medals: 31 + 20 + 6 +6 + 6 = 69
Number of Australian medals: 20
Fraction of total medals won by Australia: 20/69
A circle has a total of 360 deg.
Since Australia has 20/69 of the medals, it will have 20/69 of 360 degrees in the circle graph.
20/69 * 360 = 104.3
Answer: 104 deg
Which fraction is closer to 1 than 0?
3
8
5
10
7
12
6
14
Answer:
[tex]7/12[/tex]
Step-by-step explanation:
[tex]3/8=0.375[/tex]
[tex]5/10=0.5[/tex]
[tex]7/12 \approx 0.58333333333[/tex]
[tex]6/14 \approx 0.42857142857[/tex]
Therefore, 7/12 is the closest to 1 than 0.
Solve for q. –10 + 10q = 9q
Answer:
q= 10
Step-by-step explanation:
9q - 10q = -10
-q = -10
q= -10/-1 = 10
Answer:
q=10
Step-by-step explanation:
subtract 10q from both sides than divide-10 by -1
I’m in need of help at the moment please help me
Answer:
5.83
Step-by-step explanation:
Try using the Pythagorean theorem as an adaptation of the distance formula. Count the boxes on the graph to create a triangle using the line segment as the hypotenuse.
5^2 + 3^2 = d^2
25 + 9 = d^2
d = 5.83
Answer:
5.3
Step-by-step explanation:
Simplify: -8y-(x-4x) + 3y
Answer:
-5y+3x
Step-by-step explanation:
-8y-(x-4x) + 3y
= -5y-(x-4x)
= -5y+3x
Answer: -5y+3x
Step-by-step explanation:
please help, it is maths, brainliest will be given
Answer:
V = 1330.5 cm³
Step-by-step explanation:
Diameter = 11 cm
Radius = 5.5 cm
Height = 14 cm
Now, The volume:
Volume of Cylinder = [tex]\pi r^2h[/tex]
V = [tex](3.14)(5.5)^2(14)[/tex]
V = [tex](3.14)(30.25)(14)[/tex]
V = 1330.5 cm³
Answer:
1330.5 cm³
Step-by-step explanation:
The volume of a cylinder is equal to πr²h.
Where r is the radius and h is the height.
The diameter is 11 cm, so the radius will be 5.5 cm.
π(5.5)²(14)
π(30.25)(14)
423.5π = 1330.464489
Rounded to 1 decimal place will be 1330.5 cm³.
Solving a Story Problem Involving Slope Mary and Julie both have a goal of raising $1000 for charity. Mary raises $12 every 4 days. Julie raises $19 every 6 days. Will Mary or Julie reach her goal first? Explain.
Answer:
Step-by-step explanation:
Mary would have a rise of 12 and a run of 4, making her slope, or rate of change, $3 a day.
Julie would have a rise of 19 and a slope of 6, making her slope, or rate of change, $3.17 a day.
Since Julie is raising money at a faster rate, she would get to the goal of $1000 first.
Answer:
Mary would have a rise of 12 and a run of 4, making her slope, or rate of change, $3 a day. Julie would have a rise of 19 and a slope of 6, making her slope, or rate of change, $3.17 a day. Since Julie is raising money at a faster rate, she would get to the goal of $1000 first.
brainliest plzzzz
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 11.7 years, and standard deviation of 1.2 years. The 2% of items with the shortest lifespan will last less than how many years? Give your answer to one decimal p
Answer: 9.2 years
Step-by-step explanation:
Given the following :
Mean(m) = 11.7 years
Standard deviation (s) = 1.2 years
Recall the z-score formula :
Z = (x - m) / s
We can find the z-score by locating the value of 2% in the negative z-table, then solve for x.
2% = 0.02
0.02 falls most closely to 0.02018whuch is under - 2.05.
Using the z-score value in the formula above :
-2.05 = (x - 11.7) / 1.2
Cross multiply
(-2.05 × 1.2) = x - 11.7
-2.46 = x - 11.7
x = - 2.46 + 11.7
x = 9.24 years
Find the area of a circle with radius 6m use the value 3.14
30 POINTS! and brainliest if you have the best answer
1. How can you set up a spinner so that an event is likely?
2. How can you set up a spinner so that an event is unlikely?
3. How can you set up a spinner so that an event is impossible?
4. How can you set up a spinner so that an event is certain?
Answer:
hey guys whats up!
i think your answer is
1. you can spin the spinner a certain way and it is more likely to land on the answer you want or if it has anything to do with colors then make the color you want to take up more space.
2.you can as the other question above states do the opposite.
3.to make an event impossible you can do this:if it is a color leave it out,this means that it will not land on it so it is impossible.
4.to make an event certain you can do the opposite of answer 3
Step-by-step explanation:
hope this helps
thx
pls put brainliest
which rule would best describes this pattern 8,4,10,6,12,8,14
Answer:
Subtract 4 and then add 6.
Step-by-step explanation:
8-4=4
4+6=10
10-4=6
6+6=12
12-4=8
8+6=14
The rule for this pattern can be subtracting 4, and then adding 6.
Jeremy wrote this equivalent equation to solve for x: x = negative 11 y minus 140 Which of these equations might have been Jeremy's original equation? Check all that apply. y + 7x = 23 y + 11x = 140 2x – 22y = –140 3x + 33y = –420 x + 140 = –11y
Answer:
3x+33y= -420
x+140= -11y
Step-by-step explanation:
x= -11y-140
y +7x=23
7x=23-y
x=23/7 - y/7
y+11x=140
11x=140-y
x=140/11 - y/11
2x-22y=-140
2x=-140+22y
x=-140/2+22y/2
x=-70+11y
3x+33y=-420
3x=-420-33y
x=-420/3 - 33y/3
=-140-11y
x=-140-11y
x+140=-11y
x=-11y-140
Answer:
The bottom 2
3x + 33y = –420
x + 140 = –11y
Step-by-step explanation:
Edge 2020
liz buys 17 identical tickets for £208.25 estimate the cost of one ticket
Answer:
£12.25
Step-by-step explanation:
Using unit rate:
[tex]\frac{\text{Price}}{\text{Tickets}}=\frac{208.25}{17}=\frac{208.25/17}{17/17}=\frac{\boxed{12.25}}{1}[/tex]
£12.25 should be the correct answer.
What is the value of a in the equation 3a+b = 54, when b = 9?
15
18
21
27
Answer:
15
Step-by-step explanation:
3a+9=54
-9 -9
3a=45
:3 :3
a=15
A tv costs £800. Work out the price after a 3% discount.
3% = 800/ 100 = 8, 8x3= 24
800-24 = 776
£776
Answer:
Selling Price = £776
Step-by-step explanation:
Costing price = £800
Discount = 3% of 800
=> 3/100 × 800
=> 3×8
= £ 24
Selling Price = COSTING PRICE - DISCOUNT
Selling price = 800-24
Selling price = £776
Four different linear functions are represented below. Drag the representation of each function into order from greatest y-intercept to least y-intercept.
Answer:
Step-by-step explanation:
A linear function has been given as,
y = [tex]\frac{1}{3}x+5[/tex]
Comparing it with the slope intercept equation,
y = mx + b
b = y-intercept = 5
From the graph,
y-intercept = (-2)
From the given table,
For x = 0, f(x) = 3
Therefore, y-intercept = 3
A line passes through two points (-3, -2) and (3, 0),
Slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{0+2}{3+3}[/tex]
= [tex]\frac{1}{3}[/tex]
Equation of a line passing through a point (x', y') and slope = m
y - y' = m(x - x')
If the point is (3, 0) and slope = [tex]\frac{1}{3}[/tex]
y - 0 = [tex]\frac{1}{3}(x-3)[/tex]
y = [tex]\frac{1}{3}x-1[/tex]
y-intercept of this line = (-1)
Therefore, decreasing order of the slopes will be,
[tex]5>3>\frac{1}{3}>(-2)[/tex]
Order of the functions with slopes from maximum to lease will be,
1). [tex]y=\frac{1}{3}x+5[/tex]
2). Function represented by the table.
3). Line passing through (-3, -2) and (3, 0)
4). Function shown in the graph
which of the following rational functions is graphed below
Answer:
The answer is option D.
Hope this helps.
there are six black socks, 6 blue socks, 12 white socks, and 4 pattern socks in the drawer. what is the probability of pulling a blue sock replacing it and then drawing a pattern sock out of the drawer. answers 5/14 5/28 3/98 6/7
Answer:
3/98
Step-by-step explanation:
six black socks, 6 blue socks, 12 white socks, and 4 pattern socks= 28 socks
P( blue ) = blue /total = 6/28 = 3/14
Replace it
six black socks, 6 blue socks, 12 white socks, and 4 pattern socks= 28 socks
P ( pattern) = pattern/total = 4/28 = 1/7
P( blue,replace, pattern) = 3/14*1/7 = 3/98
You are given the sequence of digits "0625", and can insert a decimal point at the beginning, at the end, or at any of the other three positions. Which of these numbers can you not make? 6 25 6 25 5 8 5 8 1 16 1 16 25 4 25 4 25 2 25 2
Answer:
25/4
Step-by-step explanation:
Because I say so
How do you find the radius when the circumference is given?
Step-by-step explanation:
r = c/2π