Solve the system of equations by graphing
y = 6
y = 3x - 3
Answers
Answer: x=3, See the graph below
Step-by-step explanation:
SINCE THE QUESTION ASK FOR GRAPHING
See the graph below
-------------------------------------------------------------------
I AM ALSO GOING TO SHOW A SECOND WAY WITHOUT GRAPH FOR EXTRA
Given
y=6
y=3x-3
Use substitution (Substituting the value of y)
3x-3=6
Add 3 on both sides
3x-3+3=6+3
3x=9
Divide 3 on both sides
3x/3=9/3
x=3
Hope this helps!! :)
Please let me know if you have any questions
Answer:
Step-by-step explanation:
Related Questions
I need help u don’t need show work
Answers
The expected probability of drawing a ball with the number five from the box is 4/29.
To calculate the expected probability of drawing a ball with the number five from the box,
we need to divide the number of times a ball with the number five was withdrawn by the total number of withdrawals.
In this case, the number of times a ball with the number five was withdrawn is 4, and the total number of withdrawals is 29.
Expected probability
= Number of times number five was withdrawn / Total number of withdrawals
= 4 / 29
Therefore, the expected probability of drawing a ball with the number five from the box is 4/29.
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3/5x = 1/2x+1/2
please tell me this asap
Answers
Answer:
x = 5
Step-by-step explanation:
3/5x = 1/2x + 1/2
collect like terms =
3/5x - 1/2x = 1/2
6x - 5x/10 =
x/10 = 1/2
2x = 10
x = 5
I need help ASAP for grade
Answers
Answer:
y=2x+3
Step-by-step explanation:
Define the following words and phrases:
1. Dilation:
2. Scale Factor:
3. Similar:
Answers
2 - A scale factor is usually a decimal which scales, or multiplies, some quantity.
3 - When one shape can become another after a resize, flip, side or turn
Complete the statement with <, >, or =.
7/8 ___ 1
Answers
Answer:
7/8 < 1
Step-by-step explanation:
1 is larger than 7/8 so thats why it is 7/8 < 1
I hope it helps! Have a great day!
Lilac~
The correct statement is 7/8<1
What is an inequality?An inequality is an inequation separated by <,>, ≥, ≤. The relationship between two values that are not equal is defined by inequalities. Inequality means not equal. Generally, if two values are not equal, we use “not equal symbol (≠)”. But to compare the values, whether it is less than or greater than, different inequalities are used.
Given here 7/8 which is equal to 0.875 thus which is less than 1 and thus we can construct the inequality 7/8<1
Hence, the correct statement is 7/8<1
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Hana i planning a park day for the next month to give her friend ome exercie! The local park open it path for biker every 12 day and open it’ lake for paddling every 8 day. Today, both the biking and paddling option are open. Which two number entence will help Hana pick the next date where both the bike lane and lake padding will be open?
Answers
If a local park is open for biking every 12 day open for paddling every 8 day and if today the park is open for both options, then the next date when the park will be open will be on the 24th day. So Hana should pick 24th day from today next.
Every 12 day the local park is open its path for biking and every 8 day they open their lake or paddling. That is in every multiple of 12 days the biking option is available and every multiple of 8 days the paddling option is available.
If today both the biking and paddling option are open, then the next day where both options will be open can be determined by calculating the least common multiple of 12 and 8.
12 = 2×2×3
8 = 2×2×2
LCM (12, 8) = 2×2×2×3
LCM(12, 8) = 24
LCM of 12 and 8 is 24. So 24 days from today, the park will be open for both options.
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Jake drove 66 miles in 2/5 hour. what's the unit rate in miles per hour?
Answers
Answer:
He was going about 26 miles an hour.
Step-by-step explanation:
This is a fraction equal to
66 miles ÷ 2.5 hours
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 2.5
66 miles ÷ 2.5
2.5 hours ÷ 2.5
=
26.4 miles
1 hour
=
26.4 miles
hour
= 26.4 miles per hour
Please help me with this question asap
Answers
Answer:
156 for the first, 14 for the second
Step-by-step explanation:
x = -5 y=4
Plug in (first equation)
(4(4))^2 - (2(-5))^2
(16)^2 - (-10)^2
256-100
156
Second Equation
4y^2-2x^2
Plug in
4(4)^2 - 2(-5)^2
4(16) - 2(25)
64-50
14
Parenthesis make a huge difference
Hope this helps =D
There are black and white counters in a bag in the ratio 20:17
There are 54
more black counters than white counters.
How many black counters are there?
Answers
There are 360 black counters and 306 white counter in 20:17 ratio.
Let's denote the number of black counters by B and the number of white counters by W. We know that the ratio of black to white counters is 20:17, which means that:
B/W = 20/17
We also know that there are 54 more black counters than white counters, which means that:
B = W + 54
We can use substitution to solve for B. Substituting the second equation into the first equation, we get:
(W + 54)/W = 20/17
Cross-multiplying, we get:
17(W + 54) = 20W
Expanding the left side, we get:
17W + 918 = 20W
Subtracting 17W from both sides, we get:
918 = 3W
Dividing both sides by 3, we get:
W = 306
Now we can use the second equation to find B:
B = W + 54 = 306 + 54 = 360
Therefore, there are 360 black counters in the bag.
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One printing press has a fixed daily cost of $50 and a variable cost of $1.50 for every 30 pages printed. A second printing press has a fixed daily cost of $10 and a variable cost of $2 for every 30 pages produced. Question Determine the number of pages for which the total daily costs will be the same. A. 80 B. 1,500 C. 2,400 D. 3,900
Answers
Answer:
2400 pages
Step-by-step explanation:
Printer 1 : 50+ 1.50/30 x where x is the number of pages
Printer 2 : 10 + 2/30 x where x is the number of pages
Set them equal
50+ 1.50/30 x = 10 + 2/30 x
50 + 1/20x = 10 +1/15 x
Subtract 1/20x from each side
50 + 1/20x -1/20x= 10 +1/15 x-1/20x
50 = 10 +1/15x - 1/20x
Subtract 10 from each side
40 = 1/15x - 1/20x
Get a common denominator
40 = 4/60x - 3/60x
40 =1/60x
Multiply by 60
40 *60 = 1/60x *60
2400 =x
Answer:
2400 pages
Step-by-step explanation:
First, let's make equations for the daily cost of the first printing press, with y being the total daily cost, and x being the total number of pages printed.
y=0.05x+50
Now, let's make an equation for the total daily cost of the second printing press.
y=(2/30)x+10
Since both equations are equal to y, let's use the substitution method and set them equal to each other.
0.05x+50=(2/30)x+10
Let's substitute 80 for x into both equations and see if we get a true statement.
0.05(80)+50=(2/30)(80)+10
4+50=16/3+10
54=46/3 X
Since this is a false statement, 80 pages cannot be the solution.
Now, let's try 1500 for x.
0.05(1500)+50=(2/30)(1500)+10
75+50=100+10
125=110 X
Since this is a false statement, 1500 pages cannot be the solution.
Now, let's try 2400 for x.
0.05(2400)+50=(2/30)(2400)+10
120+50=160+10
170=170
Since this is a true statement, 2400 pages is the correct solution, and it will lead to a daily cost of $170.
Delilah and a group of friends had an excellent service at a restaurant. They would like to give the server a 25 percent gratuity on their $140 bill. Use the diagram to identify the amount of the tip.
Answers
—— ——
100. 140
Just multiply 140 x 25 =3500 then Divide by 100 = 35
The answers 35
Answer:
The answer is $35
Suppose 30 flour beetles are left undisturbed in a warehouse bin. The beetle populations doubles each week. The function f(x)=30x2^x gives the population after x weeks. How many beetles will there be after 56 days?
Answers
Answer:
240
Step-by-step explanation: 56 / 7 = 8
30 * 8 = 240
pls help.............
Answers
Answer:
its c i think
Step-by-step explanation:
flip it around to where the right angles are in the same spot
A social networking site has an estimate 5000 members.This number is expected to increase 80% each month. Which function and graph model the number of members in thousands over time in months?
Answers
Answer:
y = 5(1.8)^x
Step-by-step explanation:
the formula for an exponential equation is y = a(b)^x
the a in this case is the starting number which is 5000
y = 5000(b)^x
the b is the percentage in decimal form
0.8 BUT it is an increase so we add 1
1.8
y = 5000(1.8)^x
because the graph is in thousands we can make 5000 into 5
Answer:It will be your last option
Step-by-step explanation:
For this experiment you have been randomly assigned to a group consisting of you and one other person. You do not know now, nor will you ever know, who this other person is. For this experiment all you have to do is distribute your 10 points into two accounts. One account called KEEP and one account called GIVE. The GIVE account is a group account between you and your group member. For every point that you (or your group member) put in the GIVE account, I will add to it 50% more points and then redistribute these points evenly to you and your group member. The sum of the points you put in KEEP and GIVE must equal the total 10 points. Any points you put in the KEEP account are kept by you and are part of your score on this experiment. Your score on the experiment is the sum of the points from your KEEP account and any amount you get from the GIVE account. For example, suppose that two people are grouped together. Person A and Person B. If A designates 5 points in KEEP and 5 points in GIVE and person B designates 10 points to KEEP and 0 points to GIVE then each person’s experiment grade is calculated in this manner: Person A’s experiment grade = (A’s KEEP) + 1.5(Sum of the two GIVE accounts)/2 = 5 +(1.5)(0+5)/2= 5 + 3.75 = 8.75. Person A’s score then is 8.75 out of 10. Person B’s experiment grade = (B’s KEEP) + 1.5(Sum of the two GIVE accounts)/2 = 10 +(1.5)(0+5)/2 = 10 + 3.75. Person B’s score then is 13.75 out of 10. (you can think of any points over 10 as extra credit) In this module’s activity you were asked to make a decision about how to invest your resources (points). This activity is a classic strategic game where the good of the individual is at odds with the good for the group. These problems are pervasive in risk management. For example, a physician who is trained to treat diseases may be reluctant to discuss alternative treatments with a patient when the physician is sure that a specific treatment is the only truly viable treatment. Nonetheless, you have learned in this course that physicians (or an agent of the physician) must have this discussion and bow to the will of the patient even if, in the physician’s judgment, the patient chooses an alternative treatment which is likely to be superfluous. In this way, informed consent and patient education are nuisances to the physician but are very important to protect the group (maybe a hospital or surgical group) from liability. In light of recent events another example is warranted. Individuals may choose to not get vaccinated since they do not want to bear the risk of any possible adverse side-effects of a vaccine. This is perfectly reasonable to do so. The problem arises when large groups of people choose to not get vaccinated thus making the impact of the disease relatively larger than need be if everyone would choose to take a vaccine (remember our first cost-benefit experiment). This implies that individual’s rights to choose not to vaccinate are at odds with what is good for the group of individuals. These types of problems are common in risk management. Discussion: (If you post your answers to each of the four questions below before the deadline, you will get the full ten points for the discussion. The questions do not need to be answered mathematically or with a calculation. If you feel the need to use mathematics to make a calculation, then you are free to do so but the questions are merely asking you for a number and how you arrived at that number. If you do not do any calculations to arrive at the number, just say how you arrived at the number. (There are no incorrect answers.) 1. In this activity how did you arrive at your decision on the keep-give split? 2. What is the best outcome of this situation for you? 3. What is the best outcome of this situation for the group? 4. Can you see any parallels with this game and how risk management strategies work? Explain.
Answers
1. I based my decision on allocating points to maximize my own score, while also considering the potential benefits of contributing to the group fund.
2. The best outcome for me would be allocating the minimum points required to the GIVE account, while putting the majority in the KEEP account. This would ensure I receive the most points for myself.
3. The best outcome for the group would be if both participants maximized their contributions to the GIVE account. This would create the largest group fund, resulting in the most redistributed points and highest average score.
4. There are parallels with risk management strategies. Individuals may act in their own self-interest, but a larger group benefit could be achieved if more participants contributed to "group" risk management strategies like vaccination, safety protocols, insurance policies, etc. However, some individuals may free ride on others' contributions while benefiting from the overall results. Incentivizing group participation can help align individual and group interests.
2. Which transformation rule would produce figures that are similar, but notcongruent?A (x, y) + ( x,y)B. (X, Y) - (y, x)c. (x, y) - (2x, 2y)D. (x, y) - (x + 2, Y + 2)
Answers
Dilation is a process of changing the size of an object or shape by decreasing or increasing its dimensions by some scaling factors.
The standard transformation equation of dilation is:
\(\text{ x,y }\rightarrow\text{ Ax, By}\)Where,
A & B are constants/numbers. These are the scaling factors, it could be one common factor or not.
Thus, among the given choices, the best transformation rule that would produce figures that are similar, but not congruent is:
\(\text{ x,y }\rightarrow\text{ }2x,\text{ 2y}\)It shows that the original coordinates are
The answer is letter C.
Math part 2 question 3
Answers
The value of (g times f)(x) is 6x² + x - 2. So correct is C.
Describe Function?The input values of a function are called the domain, and the output values are called the range. The domain can be any set of values, but each input value must have a unique corresponding output value. If there are multiple input values that produce the same output value, the function is not considered to be well-defined. Functions are used to model a wide range of phenomena in many different fields, including science, engineering, and economics. They are also used in calculus to study rates of change and slopes of curves.
Overall, functions are a fundamental concept in mathematics, and have many practical applications in the real world.
To find g(x) times f(x), we need to multiply the two functions together.
(g times f)(x) = g(x) * f(x)
First, we need to find g(f(x)):
g(f(x)) = g(3x+2) = 2(3x+2) - 1 = 6x + 3
Now we can substitute this into the expression for (g times f)(x):
(g times f)(x) = g(x) * f(x) = (2x-1) * (3x+2)
Using the distributive property, we get:
(g times f)(x) = 6x² + 4x - 3x - 2 = 6x² + x - 2
Therefore, (g times f)(x) = 6x² + x - 2.
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The income from the spanish club's bake sale was $300. expenses for the sale totaled $30. use integer addition to find the total profit or loss from the bake sale.
Answers
Using integer addition, the total profit from the Spanish Club's bake sale is $270.
Integer refers to whole numbers(non-fractional numbers) that can either be positive or negative, and zero.
Adding positive integers will result to a positive integer while adding negative integers will result to a negative integer. But, adding a negative integer to a positive integer is the same as subtracting its positive.
If the income from the Spanish Club's bake sale was $300 and the expenses for the sale is $30, the total profit will be:
income = +$300
expenses = -$30
Using integer addition,
profit = income + expenses
profit = +$300 + (-$30)
profit = $300 - $30
profit = $270
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please help me guys
Answers
Step-by-step explanation:
midpoint : it is the point in the middle marking half of the total distance.
therefore,
1)
EV = LE = LV/2
10 = 5m
m = 2
2)
LR = RO = LO/2
n + 4 = 12
n = 8
3)
LER and LVO are similar triangles. that means they have the same angles, and the ratio of one corresponding pair of lines or sides between both triangles is the same for all corresponding line pairs.
we know e.g. LE/LV = 1/2.
the same ratio applies then to ER/VO = 1/2 = 18/20p.
18/20p = 1/2
18 = 20p/2
2×18 = 20p
36 = 20p
p = 36/20 = 9/5 = 1.88888888888...
4)
VL = 2×EL = 2×10 = 20
5)
LO = 2×RO = 2×12 = 24
6)
as we have already calculated for 3) :
VO = 36
7)
36 + 20 + 24 = 80
8)
10 + 12 + 18 = 40
9)
remember, the and angles in similar triangles.
LVO = 52°
10)
all angles around a single point in one side of a line are together 180°.
in this case there are 2 angles around E : LER and VER.
VER = 180 - LER = 180 - 52 = 128°
Step-by-step explanation:
please mark me as brainlist please
The following cone has a slant height of 17
cm and a radius of 8
cm.
What is the volume of the cone?
Responses
480π
320π
544π
Answers
The formula for the volume of a cone is:
V = (1/3)πr²h
where r is the radius of the base, h is the height of the cone, and π is pi.
In this case, the slant height is given as 17 cm, which we can use with the radius to find the height of the cone using the Pythagorean theorem:
h² = s² - r²
h² = 17² - 8²
h² = 225
h = 15
Now that we have the height, we can plug in the values for r and h into the formula for the volume:
V = (1/3)π(8²)(15)
V = (1/3)π(64)(15)
V = (1/3)(960π)
V = 320π
Therefore, the volume of the cone is 320π cubic cm. Answer: 320π.
Respond as soon as you can
Answers
Under the mapping w = z³, Find the image for 0
Answers
the image of 0 under the mapping w = z³ is also 0.
To find the image of 0 under the mapping w = z³, we substitute z = 0 into the equation:
w = (0)³
Simplifying this expression, we have:
w = 0
what is expression?
In mathematics, an expression refers to a combination of numbers, variables, and mathematical operations that are written in a specific format or notation. It can represent a mathematical calculation, a relationship, or a statement.
Expressions can be simple or complex, and they can involve various mathematical operations such as addition, subtraction, multiplication, division, exponentiation, and more. They can also include functions, constants, and variables.
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On a coordinate plane,△FGH is formed with the vertices at point F(0,−2), point G(1,0) , and point H(2,−3) . Which expression can be used to determine the perimeter, in units, of△FGH ?
A
(0−1)2+(−2−0)2−−−−−−−−−−−−−−−−√+(1−2)2+(0−(−3))2−−−−−−−−−−−−−−−−−−√+(2−0)2+(−3−(−2))2−−−−−−−−−−−−−−−−−−−√
B
(0−(−2))2+(1−0)2−−−−−−−−−−−−−−−−−−√+(1−0)2+(2−(−3))2−−−−−−−−−−−−−−−−−−√+(2−(−3))2+(0−(−2))2−−−−−−−−−−−−−−−−−−−−−√
C
(0+1)2−(−2+0)2−−−−−−−−−−−−−−−−√−(1+2)2−(0+(−3))2−−−−−−−−−−−−−−−−−−√−(2+0)2−(−3+(−2))2−−−−−−−−−−−−−−−−−−−√
D
(0+(−2))2−(1+0)2−−−−−−−−−−−−−−−−−−√+(1+0)2−(2+(−3))2−−−−−−−−−−−−−−−−−−√+(2+(−3))2−(0+(−2))2−−−−−−−−−−−−−−−−−−−−−√
Answers
Answer:
the answer i think is B
Step-by-step explanation:
Answer: B
Step-by-step explanation:
Use a table with values x = {−4, −2, 0, 2, 4} to graph the quadratic function.
Answers
The graph of the quadratic function y = (1/2)*x^2 is on the image at the end.
How to graph the quadratic function?We want to graph the quadratic function:
y = (1/2)*x^2
To do so, we need to evaluate it in the values x = {−4, −2, 0, 2, 4} to find some points.
if x = -4
y = (1/2)*(-4)^2 = 8
if x = -2
y = (1/2)*(-2)^2 = 2
if x = 0
y = (1/2)*0^2 = 0
if x = 2
y = (1/2)*(2)^2 = 2
if x = 4
y = (1/2)*(4)^2 = 8
So we have the points (-4, 8), (-2, 2), (0, 0), (2, 2), (4, 8).
Now just graph these points and connect them with a parabola, the graph of the quadratic equation is on the image below.
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Determine the volume of the right cylinder
-4.2 ft
12.3 ft
A. 324.59 ft.
B. 1.996.22 ft
C. 681.64 ft
D. 2.726.55 ft.
Answers
“Ms. Kits works at a music store. Last week she sold 6 more than 3 times the number of CDs that she sold this week. Ms. Kits sold a total of 110 CDs over the 2 weeks. How many CDs did she sell last week and this week?” How do I write this as 2 equations with 2 variables?
Answers
Answer:
Ms kits sold 336 CDS
Step-by-step explanation:
I cant help with the last part sorry dont listen to my answer
To get a shade of blue, a painter mixes blue paint and white paint in the ratio of 4:1.
How many litres of blue paint and white paint would be needed to get 60 litres of the required
shade of blue?
Which one is correct
55 blue and 5 white
48 blue and 12 white
45 blue and 15 white
40 blue and 20 white
Answers
Answer:
48 blue and 12 white
Explanation:
60 ÷ 5 = 12
4 × 12 = 48
12L white
48L blue
To check:
48 + 12 = 60
48 liters of blue paint and 12 liters of white paint would be needed to get 60 liters of the required shade of blue.
What is ratio?"I is the comparison of two quantities of the same kind."
What is an equation?"It is a mathematical statement that consists of equal symbol between two algebraic expressions."
For given question,
To get a shade of blue, a painter mixes blue paint and white paint in the ratio of 4:1
Let 'x' be the common factor of the ratio.
\(\Rightarrow \frac{4}{1} = \frac{4\times x}{1\times x}\)
A painter needed 60 liters of the required shade of blue.
So, we get an equation,
⇒ 4x + 1x = 60
where 4x is the amount of blue paint and 1x is the amount of white paint.
We solve above equation.
⇒ 4x + 1x = 60
⇒ 5x = 60
⇒ x = 12 liters
And the value of 4x would be,
⇒ 4x = 4 × 12
⇒ 4x = 48 liters
Therefore, 48 liters of blue paint and 12 liters of white paint would be needed to get 60 liters of the required shade of blue.
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4x + 3y = 26 3x - 2y=11
Answers
Answer:
x = 5
Step-by-step explanation:
2 (4x + 3y = 26)
3 (3x - 2y = 11)
8x + 6y = 52
9x - 6y = 33 [the 6y and -6y cancel out]
17x = 85 [divide both sides by 17 to find x]
x = 5
Step-by-step explanation:
Hey, there!!
Given,
4x + 3y = 26........(i)
3x -2y = 11............(ii)
Multiplying equation (i) by 2 and equation (ii) by 3 we get,
8x - 6y = 52
9x + 6y = 33
17x = 85 { cancelling 6y and -6y}.
\(x = \frac{85}{17} \)
Therefore, x= 5.
Now, putting the value of x is equation (i)
4x + 3y = 26
4×5 + 3y = 26
20 + 3y = 26
3y = 26 -20
\(y = \frac{6}{3} \)
Therefore, y = 2.
Hope it helps.....
what is the solution of the equation 3-8x=8/5x written as a fraction?
Answers
Answer:
x=5/16
Step-by-step explanation:
3-8x=8x/5
(3-8x)5=8x
15-40x=8x
15=8x+40x
15=48x
x=15/48
x=5/16 ans.
solve 3x-y=7 for x if weird answer will report
Answers
Answer:
x = 1/3y +7/3
Step-by-step explanation:
3x-y=7
Add y to each side
3x-y+y=7+y
3x = y+7
Divide each side by 3
3x/3 = y/3 + 7/3
x = 1/3y +7/3
Answer:
x= 7/3 + y/3
Step-by-step explanation:
divide each term by 3 and simplify