Solve 2y – 3 = 4y + 6.
ys
Answers
Related Questions
PLEASE HELP MEEEEE!!!!!!!!!
Answers
Answer:
Value of slope is -2 and y-intercept is 1
Step-by-step explanation:
We can see that the values in the table have a linear relationship.
A linear function is a straight line written as:
y = mx+b
Here,
m is the slope and b is the y-intercept
The slope is calculated by:
\(m = \frac{y_2-y_1}{x_2-x_1}\)
We can take any two consecutive pairs in the table to calculate the slope.
Taking first two input-output pairs.
(x1,y1) = (-3, 7)
(x2,y2) = (-2, 5)
Putting the values
\(m = \frac{5-7}{-2+3}\\m= -2\)
Putting the value of m in the general form
\(y = -2x+b\)
To find the value of b, we will put any pair of input-output (x,y) in the equation
Putting the first pair
\(7 = -2(-3) +b\\7 = 6 + b\\b = 7-6\\b = 1\)
Hence,
Value of slope is -2 and y-intercept is 1
whats 1,000,000 1/10 of
Answers
Answer:
1/10 of an million is 1000000 divided 10
Step-by-step explanation:
the probability that a student selected in our class will pass mathematics test is 2/3 how many students are likely to feel mathematics in the art class with 69 students
Answers
Out of 69 students in the art class, around 23 are expected to fail the mathematics test, assuming the probability of passing given is 2/3.
To determine how many students are likely to fail mathematics in the art class, we need to use the given probability of passing the mathematics test, which is 2/3.
First, let's find the probability of failing the mathematics test. Since passing and failing are complementary events (i.e., if the probability of passing is p, then the probability of failing is 1 - p), we can calculate the probability of failing as 1 - 2/3, which simplifies to 1/3.
Now, let's consider the art class, which has a total of 69 students. If the probability of failing mathematics is 1/3, then approximately 1/3 of the students in the art class are likely to fail the mathematics test.
To find the number of students likely to fail, we multiply the probability of failing (1/3) by the total number of students in the art class (69).
(1/3) * 69 ≈ 23
Therefore, approximately 23 students are likely to fail mathematics in the art class of 69 students based on the given probability of passing the mathematics test.
For more question on probability visit:
https://brainly.com/question/25839839
#SPJ8
Help me asap and need the answer quick
Answers
Answer:20 m/s
Step-by-step explanation:
Answer:
20 m/s
Step-by-step explanation:
700 ÷ 35 = 20 m/s
please help! just need answers for a and b, please!!!!
Answers
The answers are :
a)
A = (0, 1)B = (-1, 0)C = (1, 0)D = (-0.5, 0)b)
E = (-2, -3)Let's find point A by using g(x). A is clearly the y-intercept so take x = 0.
g(0) = 2(0) + 1g(0) = 1A = (0, 1)Points B and C can be found using f(x). As they are the x-intercepts, take y = 0.
0 = 1 - x²x² = 1x = ±1As B lies to the left of the y-axis, its x-coordinate is negative.
B = (-1, 0)As C lies to the right of the y-axis, its x-coordinate is positive.
C = (1, 0)Point D can be found using g(x). D is clearly the x-intercept so take y = 0.
0 = 2x + 12x = -1x = -1/2 = -0.5D = (-0.5, 0)Point E lies at the intersection of f(x) and g(x). So they have to be equated.
f(x) = g(x)1 - x² = 2x + 1x² + 2x = 0x (x + 2) = 0x = -2g(-2) = 2(-2) + 1g(-2) = -4 + 1g(-2) = -3E = (-2, -3)Answer:
see explanation
Step-by-step explanation:
(a)
A lies on the y- axis with x- coordinate of zero
substitute x = 0 into either of f(x) or g(x) for y- coordinate
g(0) = 2(0) + 1 = 0 + 1 = 1
then A (0, 1 )
---------------------
B and C lie on the x- axis with y- coordinate of zero
let f(x) = 0 and solve for x , that is
1 - x² = 0 , then
x² = 1 ( take square root of both sides )
x = ± \(\sqrt{1}\) = ± 1
then B (- 1, 0 ) and C (1, 0 )
--------------------------------------
D is the point on the x- axis where g(x) crosses
let g(x) = 0 and solve for x
2x + 1 = 0 ( subtract 1 from both sides )
2x = - 1 ( divide both sides by 2 )
x = - \(\frac{1}{2}\)
then D (- \(\frac{1}{2}\) , 0 )
-----------------------------
(b)
E is the point of intersection of f(x) and g(x) so equate them, that is
2x + 1 = 1 - x² ( subtract 1 - x² from both sides )
x² + 2x = 0 ← factor out x from each term
x(x + 2) = 0
equate each factor to zero and solve for x
x = 0 ← x- coordinate of A
x + 2 = 0 ⇒ x = - 2 ← x- coordinate of E
substitute x = - 2 into g(x) for corresponding y- coordinate
g(- 2) = 2(- 2) + 1 = - 4 + 1 = - 3
then E (- 2, - 3 )
write as a single power of 7.
7¹⁰ ÷ 7 =
Answers
Answer:
7^9
Step-by-step explanation:
when dividing you take away powers.
Answer:
7 to the power of 9
Step-by-step explanation:
7 by it self is 7 to the power of 1, and when you are dividing a power to subtract the power on top, so 10-1=9 and the answer is 7 to the power of 9 or 7^9
What is the constant of proportionality in this proportional relationship? x 2 212 3 312 y 52 258 154 358 45 54 4 5
Answers
The constant of proportionality in this proportional relationship is 106
x = 2
y = 212
Direct proportionalityy = k × x
where,
k = constant of proportionality
y and x = variables with different values
y = k × x
212 = k × 2
212 = 2k
k = 212/2
k = 106
Therefore, the constant of proportionality is 106
Learn more about constant of proportionality:
https://brainly.com/question/12242745
Answer:
im sorry this is late but the actual answer is 5/4
Step-by-step explanation:
i took the quiz and this is the correct answer. i hope this helps
Solve x−1=8 Math Problem
Answers
Answer:
x = 9
Step-by-step explanation:
9 - 1 = 8
Answer:
x = 9
Step-by-step explanation:
Add 1 to each side:
x - 1 = 8
x = 9
a recipe for homemade clay balls for 6 cups of water for every 12 cups of flour. How many cups of water are needed when 4 cups of flour are used
Answers
For every two cups of flour used you will need one cup of water
Are the triangles similar?
1.These triangles are not similar.
2.These triangles are similar by AA.
3.These triangles are similar by SAS.
4.These triangles are similar by SSS.
Answers
Answer:
Yes, the triangles are SIMILAR, not exact.
Step-by-step explanation:
None.
Answer:
yes
no
no
yes
Step-by-step explanation:
- left his house and drove to the store. He stopped and went inside. From he drove in the same direction until he got to the bank. He stopped and went the bank. Then he drove home. The graph below shows the number of blocks com home Connor is a minutes after he left his house, until he got back home.Connor left his house and drove to the store. He stopped and went inside. From there, he drove in the same direction until he got to the bank. He stopped and went inside the bank. Then he drove home. The graph below shows the number of blocks away from home Connor is a minutes after he left his house, until he got back home.
Answers
The graph shows that Connor traveled a total of seven blocks from his house to the store and then from the store to the bank.
What is graph?Graph is a data structure used to represent data in a visual way. It is composed of a set of nodes and edges, where each node represents an object and each edge represents a connection between two objects. Graphs can be used to represent a variety of data structures, such as a network of roads, a family tree, or a list of friends. Graphs are powerful tools for understanding complex relationships in data.
It also shows that he stayed at the store and the bank for five and seven minutes respectively. After leaving the bank, he drove the remaining four blocks back home.
The graph also reveals that Connor was driving at a steady pace between the store and the bank and that the total journey time was twenty-two minutes. This time could have been reduced if he had driven faster. However, it is possible that he was being cautious due to the traffic or other conditions.
Overall, the graph provides a visual representation of Connor's journey and his decisions along the way. It also provides insight into his driving habits, as well as his ability to manage his time. Based on this data, it is clear that Connor was able to complete his errands in an efficient manner.
To know more about graph click-
https://brainly.com/question/19040584
#SPJ1
PLZ HELP ASAP! WILL GIVE 30 POINTS AND BRAINLIEST! which sequence of transformations will generate the same image as translating a figure 8 units to the left?
a) a reflection over the line x= -1 followed by a reflection over the line x= -9.
b) a reflection over the line x= -3 followed by a reflection over the line x= -5.
c) a reflection over the line x= -7 followed by a reflection over the line x= -3.
d) a reflection over the line x= -9 followed by a reflection over the line x= -13.
Answers
Find the time it takes for a rocket following the path, h(x) = - 3x2 + 18x, to reach a maximum. In your final answer, include all of your calculations and a verbal explanation of the process that you followed in your solution.
Answers
Answer:
it takes 3 seconds for it to get the the maximum height
Step-by-step explanation:
well this is easy bc it is negative so we know it goes down, meaning the vertex will be at the top/highest point.
so all u gotta do is find the vertex which is x=-b/2a
now we gotta plug the numbers in and solve
h(x)=-3x^2+18x
x=-18/2(-3)=-18/-6=3
voilà there is the answer, 3 seconds
Write in standard form 5×100+4×19+6×1+2×1/10+8×1/1000
Answers
Answer:
Step-by-step explanation:
i think this is the answer
576.628
Answer:
\(\frac{72776}{125}\)
Step-by-step explanation:
500+76+6+1/5+1/125
500*125/125 +76*125/125 + 6*125/125 +25/125 +1/125
62500+9500+750+25+1/125
\(\frac{72776}{125}\)
or 582.208
or
\(582 \frac{26}{125}\)
If 5 tickets cost $3.75 how much does 1 ticket cost
Answers
Answer:
0.75
Step-by-step explanation:
Answer:
$1.33 per ticket cost
Step-by-step explanation:
5 / $3.75 = $1.33 per 1 ticket cost
If a random sample of 47 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by more than 0.2 millimeters?
Answers
Complete Question
Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 143 millimetres, and a standard deviation of 5. If a random sample of 47 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by more than 0.2 millimetres? Round your answer to four decimal places.
Answer:
The probability is \(P(|\= x - \mu | \ge 0.2 ) = 0.78394\)
Step-by-step explanation:
From the question we are told that
The sample size is n = 47
The mean diameter is \(\mu = 143\)
The standard deviation is \(\sigma = 5\)
Generally the standard error of the mean is mathematically represented as
\(\sigma_{x} = \frac{\sigma }{\sqrt{n} }\)
=> \(\sigma_{x} = \frac{5 }{\sqrt{47} }\)
=> \(\sigma_{x} = 0.7293\)
Generally the probability that the sample mean will differ from the population mean by more than 0.2 milli meters is mathematically represented as
\(P(|\= x - \mu | \ge 0.2 ) = P(\frac{|\= x - \mu|}{\sigma_{x}} \ge \frac{0.2}{0.7293} )\)
\(\frac{|\= x - \mu | -\mu}{\sigma } = |Z| (The \ standardized \ value\ of \ {|\= x - \mu | )\)
=> \(P(|\= x - \mu | \ge 0.2 ) = P(|Z| \ge 0.2742 )\)
=> \(P(|\= x - \mu | \ge 0.2 ) = P(Z < - 2742) + P(Z > 0.2742)\)
From the z table the area under the normal curve to the left corresponding to -2.742 is
\(P(Z < -0.2742) =0.39197\)
From the z table the area under the normal curve to the right corresponding to 2.742 is
P(Z > 0.2742) = 0.39197
So
\(P(|\= x - \mu | \ge 0.2 ) = 0.39197 + 0.39197\)
\(P(|\= x - \mu | \ge 0.2 ) = 0.78394\)
Reiko needs to mail her Christmas cards and packages and wants to keep her mailing costs to no more than $500. The number of cards is at least 4 more than twice the number of packages. The cost of mailing a card (with pictures enclosed) is $3 and the cost of mailing a package is $7. Can she mail 60 cards and 26 packages?
Answers
Answer:
Yes
Step-by-step explanation:
Simply plug in these values into our constraints and see if they work.
60 - 26(2) = 8
This meets the first constraint since 60 cards is 8 more than 2 times 26 packages.
Reiko can only spend $500 or less, so we have:
3(60) + 7(26) ≤ 500
180 + 182 ≤ 500
362 ≤ 500
This statement is in fact, correct.
Therefore, Reiko is able to mail 60 cards and 26 packages.
Bobby and Rick are in a 16-lap race on a one-mile oval track. Bobby, averaging 86 mph, has completed six laps just as Rick is getting his car onto the track. What speed does Rick have to average to be even with Bobby at the end of
the sixteenth lap?
To be even with Bobby at the end of the sixteenth lap, Rick has to average a speed of __ mph.
(Type an integer or a decimal.)
Answers
Hence, the speed that Rick must be driving on to even with Bobby at the end of the 16th lap should be: Distance = Speed × Time16=1084× Speed Speed=16×8410=134.4 mph.
The time taken by Bobby to complete 10 laps will be:
\($$\begin{aligned}\text { Distance } & =\text { Speed } \times \text { Time } \\10 & =84 \times \text { Time } \\\text { Time } & =\frac{10}{84} \text { hours }\end{aligned}$$\)
Hence, the speed that Rick must be driving on to even with Bobby at the end of the 16 th lap should be:
\($$\begin{aligned}\text { Distance } & =\text { Speed } \times \text { Time } \\16 & =\frac{10}{84} \times \text { Speed } \\\text { Speed } & =\frac{16 \times 84}{10}=134.4 \mathrm{mph} .\end{aligned}$$\)
To more learn about speed visit:
https://brainly.com/question/28224010
#SPJ1
A number cube numbered 1-6 is rolled 30 times and lands on an even number 18 times.
How does this frequency compare to the expected frequency based on the probability of
the number cube landing on an even number?
The frequency is 15 more than expected.
The frequency is 13 more than expected.
The frequency is 9 more than expected.
The frequency is 3 more than expected.
Done →
Answers
Given statement solution is :- The correct answer is: The frequency is 3 more than expected.
To determine the expected frequency of landing on an even number when rolling a fair six-sided number cube, we need to calculate the probability of landing on an even number and multiply it by the total number of rolls.
The number cube has six possible outcomes: 1, 2, 3, 4, 5, and 6. Of these, three are even numbers: 2, 4, and 6. Therefore, the probability of rolling an even number is 3/6, which simplifies to 1/2 or 0.5.
The expected frequency can be found by multiplying the probability by the total number of rolls:
Expected frequency = Probability of landing on an even number × Total number of rolls
Expected frequency = 0.5 × 30 = 15
Now, we can compare the expected frequency (15) to the actual frequency (18) given in the problem statement.
The actual frequency is 18, and it is 3 more than the expected frequency (18 - 15 = 3).
Therefore, the correct answer is: The frequency is 3 more than expected.
For such more questions on Frequency Difference
https://brainly.com/question/13193436
#SPJ8
Which of the following represents an equation of a line parallel to one whose equation is 2x + 8x = 18
Answers
Answer:
y=-4x+3
Step-by-step explanation:
it does not show the equations that are following
but the main thing you need to know is that when two lines are parallel they have the same slope
and do you mean 2x+8y=18 not x?
edit:
answer choices: y=-4x+3, y=8x-2, y=4x+7, y=-8x+9
2y+8x=18
first change that equation to slope intercept form to find the slope
2y = -8x+18 -> y = -4x+9
slope is -4
so the answer is y=-4x+3 because it also has a slope of -4
Identify the property of (-12)+12=0
Answers
Answer:
the anser is 0
this is an additive inverse property.
Step-by-step explanation:
There are two numbers that have a sum of 47. Three times the lesser
number is equal to 9 more than the greater number. What are the
numbers?
Answers
Answer:
The numbers are 14 and 33---------------
Let the numbers be s and l.
We are given that:
Sum of the two is 47 and 3 times the lesser number is equal to 9 more than the greater number.Set up equations:
s + l = 473s = l + 9Eliminate l:
l = 47 - s and l = 3s - 9Solve for s:
47 - s = 3s - 93s + s = 47 + 94s = 56s = 14Find l:
l = 47 - 14l = 3311 times the sum of 8 and 14, divided by 5
Answers
Answer:
See below, please!
Step-by-step explanation:
\(\frac{11(8+14)}{5}\). Use PEMDAS. Sum of 8 and 14 is 22, multiply that by 11, and then divide by 5. Your answer is 48.4.
Hope this helped!
Please Help As Soon As Possible PLEASE ASAP
Answers
Let's roll two dice and find the probability of rolling a certain sum. Is this a simple or compound event?
Two dice - Red and Blue
Recall that a simple event has one and only one outcome of interest. In this example, we are rolling two dice, but we are only interested in one outcome, the sum of the two dice. This is a simple event.
What is the probability of:
Rolling a sum of 1?
Rolling a sum of 3?
Rolling a sum of 12?
Rolling a sum of 7?
Since we are rolling a pair of dice and looking for the sum, the sample space is a little more complicated than rolling one die. The chart below will help us determine the possible outcomes. The top row indicates the numbers on the sides of the blue die and the first column represents the number on the sides of the red die. The white area indicates the sum of the numbers in the row and column.
# Rolled 1 2 3 4 5 6
1 1+1=2
1
+
1
=
2
1+2=3
1
+
2
=
3
1+3=4
1
+
3
=
4
1+4=5
1
+
4
=
5
1+5=6
1
+
5
=
6
1+6=7
1
+
6
=
7
2 2+1=3
2
+
1
=
3
2+2=4
2
+
2
=
4
2+3=5
2
+
3
=
5
2+4=6
2
+
4
=
6
2+5=7
2
+
5
=
7
2+6=8
2
+
6
=
8
3 3+1=4
3
+
1
=
4
3+2=5
3
+
2
=
5
3+3=6
3
+
3
=
6
3+4=7
3
+
4
=
7
3+5=8
3
+
5
=
8
3+6=9
3
+
6
=
9
4 4+1=5
4
+
1
=
5
4+2=6
4
+
2
=
6
4+3=7
4
+
3
=
7
4+4=8
4
+
4
=
8
4+5=9
4
+
5
=
9
4+6=10
4
+
6
=
10
5 5+1=6
5
+
1
=
6
5+2=7
5
+
2
=
7
5+3=8
5
+
3
=
8
5+4=9
5
+
4
=
9
5+5=10
5
+
5
=
10
5+6=11
5
+
6
=
11
6 6+1=7
6
+
1
=
7
6+2=8
6
+
2
=
8
6+3=9
6
+
3
=
9
6+4=10
6
+
4
=
10
6+5=11
6
+
5
=
11
6+6=12
6
+
6
=
12
How many outcomes are in the sample space? Answer
Answers
Answer:
the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.
An isosceles trapezoid with bottom base 26.5 decimeters, top base 8.5 decimeters, and height 9 decimeters. Find the area. a. 238.5 dm2 c. 157.5 dm2 b. 257.5 dm2 d. 315 dm2 Please select the best answer from the choices provided A B C
Answers
Answer:
the answers c 157.5
Step-by-step explanation:
on edg 2022
The area of given isosceles trapezoid is c. 157.5 decimeters².
What is an area of a trapezoid?The area of a trapezoid is = (1/2*sum of the two parallel sides *height). The area is the sum of the areas of all its faces.The areas of the base, top, and lateral surfaces i.e all sides of the object. It is measured using different area formulas and measured in square units and then adding all the areas. The surface area of a solid object is a measure of the total area that the surface of the object covers.⇒ (1/2*sum of the two parallel sides *height)
⇒ 1/2*(26.5+8.5)*9
⇒ 157.5 decimeters².
Learn more about the area here:-https://brainly.com/question/25292087
#SPJ2
One lap around a standard high-school running track is exactly 0.25 miles. Write the function miles_to_laps() that takes a number of miles as an argum
Answers
Answer:
Step-by-step explanation:
The following code is written in Python. It is a function that takes in the number of miles as an argument and returns the number of laps that those miles represents.
def miles_to_laps(miles):
laps = miles / 0.25
return laps
help what answer what is the answer helppppppppppp
Answers
Answer:
1st option
Step-by-step explanation:
Complementary angles sum to 90°
∠ BFC and ∠ AFB form a right angle and sum to 90°
These angles are therefore complementary
A farmer earns $___ for each orange she sells. She had to pay $___ for fertilizer. Part A: Rewrite the description by filling in the blanks with values of your choice to show the amount of money the farmer could earn selling any number of oranges, n. Make sure the values you choose make sense for this situation. (6 points) Part B: Write an algebraic expression from your written description used in Part A. Let n stand for the number of oranges. (6 points)
Answers
Part B: The algebraic expression for the amount of money the farmer could earn selling any number of oranges, n, is 0.20n - 25.
The researcher who conducted the study discovered that the number of hours spent studying reported by the student represented by P was recorded incorreetly. The corrected data point for this student is represented by the letter Q in the scatterplot below. Explain how the least squares regression line for the corrected data (in this part) would differ from the least squares regression line for the original data
Answers
The least squares regression line for the corrected data would be shifted upwards compared to the original data, indicating that increasing the amount of time spent studying would likely have a greater impact on a student's grades.
The least squares regression line for the corrected data would be shifted upwards compared to the least squares regression line for the original data, since the corrected data point has a higher value than the original data point. This shift in the regression line would indicate that, in general, increasing the amount of time spent studying would have a greater impact on the student's grades than the original data indicated.
The least squares regression line for the corrected data would be shifted upwards compared to the original data, indicating that increasing the amount of time spent studying would likely have a greater impact on a student's grades.
Learn more about data here
https://brainly.com/question/14893265
#SPJ4