Answer:
Slope: 7
y-intercept:-6
Step-by-step explanation:
The equation of the line in Slope-intercept form is the following:
[tex]y=mx+b[/tex]
Where "m" is the slope of the line and "b" is the y-intercept.
You have the equation of the given line:
[tex]y=7x-6[/tex]
You can observe that it is written in Slope-intercept form, therefore, you can identify that the slope and the y-intercept are the following:
[tex]m=7\\b=-6[/tex]
A. The slope is 7.
B. The line rises steeply right 7 units for every 1 unit increase in x.
Here's how to find the slope and y-intercept directly from the equation:
Understanding the Slope-Intercept Form:
The equation of a line can be written in *slope-intercept form* as `y = mx + b`, where:
`m` represents the slope of the line.
`b` represents the y-intercept, which is the point where the line crosses the y-axis.
Identifying Slope and Y-Intercept:
In the given equation, `y = 7x - 6`, we can directly identify the values:
The slope `m` is the coefficient of `x`, which is 7.
The y-intercept `b` is the constant term, which is -6.
Interpreting the Slope:
A slope of 7 indicates that for every 1 unit increase in `x`, the `y` value increases by 7 units. This means the line rises steeply from left to right.
Question:
Find the slope and y-intercept of the line whose equation is y= 7x-6.
What is the slope? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The slope is ______ (Type an integer or a fraction.)
B. The slope is undefined.
How to find the mean absolute deviation of the set of data 8,7,4,6,6
The deviation of the set of data is 678
In an examination, 15% candidates failed in science and 20% in Mathematics. If 10% failed in both the subjects, find percentage of those who passed in both the subjects.
To determine the percentage of students who passed both exams, we first calculate the percentage of students who failed in either subject, then subtract that from 100%. Given that 15% failed in Science, 20% in Mathematics, and that 10% failed in both, we find that 75% of students passed both courses.
Explanation:In this question, we have to find out the percentage of the candidates that passed in both subjects, Science and Mathematics. The percentages given show the failure rates in Science, Mathematics, and in both. Here, we need to use the concept of sets where we sum the individual percentages and subtract the intersection. It is defined as P(A U B) = P(A) + P(B) - P(A ∩ B).
According to the problem, 15% failed in Science and 20% in Mathematics. So, the candidates failing in any one of the subjects would be 15% + 20% = 35%. However, those who failed in both subjects (i.e., intersection part) is 10%, and double-counted when we added up the individual percentages. Therefore, we subtract this from our earlier total, giving us 35% - 10% = 25%. This implies that 25% of candidates fail in at least one subject.
As for those who pass in both, since we know that the total should be 100%, and we've figured out that 25% failed in at least one subject, thus, those who passed should be the remaining 75%.
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The percentage of those who passed in both the subjects is equal to 85%.
How to determine the percentage of those who passed in both the subjects?In order to determine the percentage of those who passed in both the subjects, we can use the principle of inclusion and exclusion;
Let the variable A represent the percentage of candidates who failed in Science, which is 15%.Let the variable B represent the percentage of candidates who failed in Mathematics, which is 20%.Let the variable C represent the percentage of candidates who failed in both Science and Mathematics, which is 10%.Let the variable P represent the percentage of candidates who passed in both Science and Mathematics.Based on the principle of inclusion and exclusion, we have:
Total percentage of candidates who failed in either Science or Mathematics = A + B - C
Percentage of candidates who passed in both subjects = 100% - (A + B - C)
Percentage of candidates who passed in both subjects = 100% - (15% + 20% - 10%)
Percentage of candidates who passed in both subjects = 100% - 15%
Percentage of candidates who passed in both subjects = 85%.
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PLEASE HELP MARKING BRAINLEST !! I DO NOT HAVE THE GRAPH BC MY COMPUTER ISNT WORKING CORRECTLY SO IF YOU CAN DO IT WITHOUT THE GRPAH PLEASE DO OR WRITE YOUR EMAIL BELOW & I WILL SEND IT TO YOU VIA THERE !
Chelsea and Zack are both dog sitters. Chelsea charges $2 per day plus a sign-up fee of $3. Zack charges a flat rate of $3 per day.
The system of linear equations below represents y, the total amount earned in dollars for x days of dog sitting.
(3 points
Write the equation to represent Chelsea’s fees. Write the equation to represent Zack’s fees. After how many days do Chelsea and Zack earn the same amount for dog sitting? What is that amount?
Answer:
it should be 9,8
Step-by-step explanation:
After 3 days Chelsea and Zack earn the same amount for dog sitting.
Equation for Chelsea: y = 3x + 2
Equation for Zack: y = 3x
After how many days they earn the same amount: After 3 days; both Chelsea and Zack earn $9.
I NEED THEM ASAP 20 Points
WILL THANK MUCH
A class is flipping a coin to see what the probability of getting heads is. The class flips a coin 48 times and heads comes up 13 times and tails comes up 35 times. What is the experimental probability of getting heads? What is the theoretical probability of getting heads?
Answer: (i think these are right)
experimental: 27.08% theoretical: 50% ?
Anja represents the inequality
Based on the phrase they gave, the inequality would look like this:
[tex]\frac{4-g}{8} >-15[/tex]
[tex]\frac{4-g}{8}\leq-15[/tex]
the quotient(÷) of [the difference(- subtraction) of 4 and a number(g) and 8] is at MOST -15.
since the sign is ≤, this means that the inequality is less than or equal to -15, so -15 is the maximum number for the inequality.
Your answer is the last option
Answer:
(D)
Step-by-step explanation:
I got it right on edge/quiz.
A football team scored a total of 37 points in a game. The team scored some field goals worth 3 points each and some touchdowns with extra points, each together worth 7 points. The team made 19 more points in touch downs with extra points than in field goals. How many field goals and how many touchdowns with extra points did the team score.
Answer: 3 field goals, 4 touchdowns
Step-by-step explanation:
The number of field goals and touchdowns of the team score will be 3 and 4, respectively.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
A football team scored a total of 37 points in a game. The team scored some field goals worth 3 points each and some touchdowns with extra points, each together worth 7 points. The team made 19 more points in touchdowns with extra points than in field goals.
Let 'x' be the number of field goals and 'y' be the number of touchdowns. Then the equations are given as,
3x + 7y = 37 ...1
7y = 3x + 19 ...2
From equations 1 and 2, then we have
14y = 56
y = 4
Then the value of 'x' is calculated as,
7(4) = 3x + 19
28 = 3x + 19
3x = 9
x = 3
The number of field goals and touchdowns of the team score will be 3 and 4, respectively.
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Which of the following points is a solution to the system of equalities? 6x-2y<10
the possible solutions of this equation. Is that they are not real.
Answer:
Step-by-step explanation:
6x-2y<10 : 3x -y <5
then : 3x -y -5< 0
given the line : 3x-y-5 = 0
the points is a solution to the system of equalities? 6x-2y<10 Located on the line : 3x-y-5 = 0 and under the x - axis.
Help please, I need help
Answer:
No, it is not.
Step-by-step explanation:
This is not proportional, however, it is linear
A store reduces the price of a jacket by 40%. The sale of the jacket is marked as $30.00.
What percent of the original price is the sale price?
Can someone help me?
Answer:
60%
Step-by-step explanation:
Sales Price = 100 - 40 = 60%
The sales price is $30.00
Therefore 60% is equal to $30.00
60% = $30
1% = 30 ÷ 60 = $0.50
100% = 5 x 100 = $50
The original price is $50
Percentage of the original price = 30/50 x 100 = 60%
Mrs.Middleton makes a solution to clean her windows. She uses a 2:1 ratio for cups of water to cups of vinegar. If Mrs.Middleton uses a gallon of water to make the window cleaner, how much vinegar does she need?
She will need 8 cups of vinegar.
Hope this helps!
What is the scale factor of this dilation?
A) 1/5
B) 1/2
C) 1
D) 2
The blue triangle is the dilated shape from the red triangle.
The dimensions of the blue triangle are half the red one.
The answer is B)1/2.
Answer:1/2
Step-by-step explanation:
Took the test on edge
Solve for t.
d=3+at^2
Answer:
it's the 2nd one
Step-by-step explanation:
d = 3 + at^2
-3 | -3
d - 3 = at^2
d - 3/a = t^2
√d - 3/a = √t^2
t = √d - 3/a
Solve -5 w = -80 for w .
Answer:
I think the answer is w = 16
Step-by-step explanation:
start by dividing -5 from both sides.
-5w=-80
/
-5
w=-16
What is y= 4^x with the domain of (-2,0,3)
Step-by-step explanation:
[tex]\text{Put}\ x=-2,\ x=0\ \text{and}\ x=3\ \text{to the equation}\ y=4^x:\\\\y=4^{-2}\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}\\\\y=\dfrac{1}{4^2}=\dfrac{1}{16}\\-----------------\\\\y=4^0=1\\-----------------\\\\y=4^3=64[/tex]
Suppose that the consumer price index of a country is decreasing at the rate of 4.3% per year. Use the approximate half-life formula to estimate the half-life
Answer:
new value = $50 × (1 − 0.12)3 = $50 × 0.883 = $34.07.
Step-by-step explanation:
Complete the steps to simplify^5√4 x √2 . Rewrite using rational exponents.
The answer is 2^(9/10). I did it assuming with the ^5 you mean the 5th root of 4
ANSWER
[tex] {2}^{ \frac{9}{10} } [/tex]
EXPLANATION
The given expression is
[tex] \sqrt[5]{4} \times \sqrt{2} [/tex]
Recall that:
[tex] \sqrt[n]{ {a}^{m} } = {a}^{ \frac{m}{n} } [/tex]
[tex]\sqrt[5]{ {2}^{2} } \times \sqrt{ {2}^{1} } [/tex]
[tex]\sqrt[5]{ {2}^{2} } \times \sqrt{ {2}^{1} } = {2}^{ \frac{2}{5} } \times {2}^{ \frac{1}{2} } [/tex]
Recall that:
[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]
We now apply this property of a exponents to obtain:
[tex]\sqrt[5]{ {2}^{2} } \times \sqrt{2} = {2}^{ \frac{2}{5} + \frac{1}{2} } = {2}^{ \frac{9}{10} } [/tex]
can someone please help me find the value of x and y. i need help asap
Answer:
x = 7, y = 7√3Step-by-step explanation:
(look at the picture)i
We have the triangle 30° - 60° - 90°. The sides are in ratio 1 : √3 : 2.
According to the markings in my picture we have:
2a = 14, a = x, a√3 = y
Therefore
2a = 14 divide both sides by 2
a = 7 → x = 7
a√3 = 7√3 → y = 7√3
The equation y = 4x + 4 describes the relationship between the quantities x and y. Are the quantities in a proportional relationship? A) Yes, because the graph of the equation is a straight line. B) No, because the graph of the equation is not a straight line. C) Yes, because the graph of the equation passes through the origin. D) No, because the graph of the equation does not pass through the origin.
Answer:
Step-by-step explanation:
The answer is a I am not sure
The relationship described by y = 4x + 4 is not proportional because Option D. the graph does not pass through the origin. The y-intercept is 4, indicating it does not meet the criteria for direct proportionality.
The equation y = 4x + 4 describes a linear relationship between x and y. However, for two quantities to be directly proportional, their relationship must be of the form y = kx, meaning that the graph of their relationship must pass through the origin (0, 0).
In the equation y = 4x + 4, the y-intercept is 4, not 0. Therefore, the graph of this equation does not pass through the origin.
Option D) No, because the graph of the equation does not pass through the origin.
Carlos is sorting orchards he sorts them into 75 baskets of 30 and 50 baskets of 45
Answer:
2.5 & 1.1
Step-by-step explanation:
that answer is correct ^
Read the sentence. Run from your house to the train station because the train will arrive any minute. Which best identifies the adverb clause? A. Run from your house to the train station. B. the train will arrive. C. because the train will arrive any minute. D. from your house to the train station.
The answer is C. because the train will arrive any minute. This is because an adverb clause is a clause that functions as an adverb, and it modifies or describes a verb, adverb or adjective.
tom left at 1:00 p.m to walk to the pool . it took him 45 to walk there what time did get to the pool ?
Answer: 1:45
Step-by-step explanation: If Tom left his house at 1:00 and it took him 45 minutes to get the pool, adding 45 minutes to 1:00 would make his arrival time 1:45. Therefore, he arrived at the pool club at 1:45. Have a great day!
To place your savings into different types of savings instruments is to
Answer:
Step-by-step explanation:b the answer is diversity
Three roots of a fifth degree polynomial function f(x) are -2,2 and 4 + i which statement describes the number and nature of all roots for this function?
Answer:
f(x) has three real roots and two imaginary roots.
Step-by-step explanation:
Given that three roots of a fifth degree polynomial function f(x) are -2,2 and (4+i).
Now we need to find about which of the given statements describes the number and nature of all roots for this function.
We know that imaginary roots always occur in conjugate pairs.
So if (4+i) is root then (4-i) must also be the root.
So now we have total 4 roots
-2, 2, (4+i) and (4-i).
Degree of the polynomial is 5 so that means 1 root is still remaining. It can't be imaginary as that must be in pairs
So that means 5th root is real.
Hence correct choice is :
f(x) has three real roots and two imaginary roots.
The graph of y = 1 x is vertically stretched by a factor of 3, reflected across the y-axis and shifted to the left by 2 units. What is the function of the resulting graph? A) y = 3 x − 2 B) y = −3 x + 2 C) y = 1 3x − 6 D) y = −1
y = 3(-x - 2)
Any horizontal transformations or reflections you make to y = x must be within the parentheses.
The transformed function is g(x) = -7 [tex]log_6[/tex] (-x) +2
The given base function is
f(x) = [tex]log_6[/tex] (x)
Then we have to find the transformed function.
First of all, the graph of the base function f(x) = [tex]log_6[/tex] (x) is vertically stretched by a factor of 7, then the newly transformed function becomes y = 7[tex]log_6[/tex](x)
Then the graph of y = 7[tex]log_6[/tex](x) is reflected over the x-axis, then the newly transformed function becomes y = -7log6(x)
Then the graph of y = -7[tex]log_6[/tex](x) is reflected over the y-axis, then the newly transformed function becomes y = -7[tex]log_6[/tex](-x)
And finally, the graph of y=7log6(-x) is vertically shifted up by 2 units, then the newly transformed function becomes
y = -7 [tex]log_6[/tex] (-x) +2
which is the required equation for the transformed function.
Education Is Fun has created a new board game called Math Maze. The company is trying to increase its sales. Its marketing division surveys a large group of people of various ages who have never seen Math Maze. Which question will provide statistical data that can help the company use its advertising budget in the best way to market Math Maze to those who have not seen the game?
A) What is your age?
B) What is your favorite subject?
C) How much are you willing to pay for Math Maze?
D) Are you looking for a game that makes math fun?
A)20
B)History
C)$5
D)yes
The correct answer is A) What is your age because This question is a statistical question because the survey is for people of "various ages." Finding out the ages of the greatest number of people who have not seen the game will help the company develop advertising that will reach and appeal to that group.
What expressions are equal 10^5
Answer:
10^5 = 100.000
Step-by-step explanation:
We know that 10^5 = 10 * 10* 10 * 10 * 10 = 100.000.
So, we have that 10^5 = 100.000
For this case we have the following expression:
[tex]10 ^ 5[/tex]
Then, as the exponent is positive, we must move the decimal as many times as indicated by the exponent. In this case, we must move it 5 spaces to the right, that is:
[tex]10 ^ 5 = 100000[/tex]
Answer:
[tex]10 ^ 5 = 100000[/tex]
Ther are 6 girls and 7 boys in a class. A team of 10 players is to be selected from the class. How many different combinations of players are possible
Answer:
There are 286 possible combinations
Step-by-step explanation:
To solve this problem we must use the formula of combinations.
[tex]nCr =\frac{n!}{r!(n-r)!}[/tex]
Where n is the number of players that there are and elect r of them
In this case there are 7 + 6 = 13 players and you choose 10 of them
Then we look for 13C10
[tex]13C10 =\frac{13!}{10!(13-10)!}[/tex]
[tex]13C10 =\frac{13!}{10!*3!}[/tex]
[tex]13C10 =286[/tex]
There are 286 possible combinations
Find the solution of this system of equations. 3x+7y=46 -3x-8y=50
The solution to the system of equations 3x + 7y = 46 and -3x - 8y = 50 is x = 239.333... and y = -96. This can be verified by plugging these values back into the original equations.
Explanation:To find the solution of this system of equations, we can use the method of adding the two equations together, as they are set up nicely for elimination:
3x + 7y = 46-3x - 8y = 50Add the two equations together:
3x + 7y - 3x - 8y = 46 + 50
0x - y = 96
y = -96
Substitute y = -96 back into one of the original equations, for example the first equation:
3x + 7(-96) = 46
3x - 672 = 46
3x = 46 + 672
3x = 718
x = 718 / 3
x = 239.333...
The solution to the system is x = 239.333... and y = -96. We can verify the solutions by substituting back into the original equations.
What do I do to this
[tex]d[/tex] stands for distance.
[tex]
d(J, K)=\sqrt{(7-2)^2+(8-4)^2}=\sqrt{25+16}\approx6.4
[/tex]
[tex]
d(J, L)=\sqrt{(1-2)^2+(-1-4)^2}=\sqrt{1+16}\approx4.12
[/tex]
[tex]d(J, K)>d(J, L)[/tex] therefore the answer is D.
math help :0 pls help (◠﹏◠✿)
Step-by-step explanation:
So if segment QS and segment PR are equal then all parts are equal which means segment QT= segment PT, segment TR= segment TS. segment QS id equal to 12 which means segment PR is equal to 12. You get segment TR by subtracting 4.9 from 12. Now you know that segment TR is 7.1 which means that segment TS is 7.1.
You also know that segment PS is equal to segment QR so you know that segment QR is 9cm because segment PS is 9cm.
m∠QPR is 33° because you know that ΔQPR's sum is 180 and you know that ∠PQR is 114° b/c 44+70 is 144, 180-144=66 now you take 66 and divide it by 2 (for the two angles left) that equals 33.
m∠STR is 92°. You know this by taking the base angle in ΔPTQ and multiplying it by two (which now equals 88, the base angle is 44°) and you take this number and subtract it from 180. 180-88=92. 92 is you measure of angle STR.