1. What is slope-intercept form?1.2. What is standard form?2.Given the following information, write the linear equation in slope-intercept form,3. slope = 1/3; y-intercept = -1 4. slope =-2/5; y-intercept = 0 5. slope = -1; y-intercept = 4Convert the following from standard form to slope-intercept form.6. 6x + 3y = 67.X + 2y = 48. x + y = -39.-2x + 3y = -610. 2x + y = -111. 5x - 2y = 1412. 5x - y = -513. 4x + 3y = 1214. 2x - 4y = 815. x + 3y = -3
Answers
To convert the standard form to slope intercept form, you need to clear y from the standard form
\(\begin{gathered} 4x+3y=12 \\ 3y=-4x+12 \\ y=\frac{-4x+12}{3} \\ y=-\frac{4}{3}x+4 \\ \end{gathered}\)That is the slope intercept form of 4x+3y=12
Related Questions
A certain disease has an incidence rate of 0.3%. If the false negative rate is 6% and the false positive rate is 4%, compute the probability that a person who tests positive actually has the disease.
Answers
The probability that a person who tests positive actually has the disease is 0.012%
How to determine the probability?From the question, we have the following parameters that can be used in our computation:
Incidence rate = 0.3%False negative rate = 6%False positive rate = 4%The probability that a person who tests positive actually has the disease is represented as
Probability = Incidence rate * False positive rate
Substitute the known values in the above equation, so, we have the following representation
Probability = 0.3% * 4%
Evaluate the products
Probability = 0.012%
Hence, the probability is 0.012%
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(10 POINTS) answer ASAP if you can
Answers
Answer: As soon as possible
Step-by-step Explanation: You just say ASAP for As soon as possible
1 point
Barbara financed a new bedroom set at the furniture store for $1,800. The store offered no interest for 6 months or 20 percent annually if the balance
was not paid in full prior to the end of the interest free period. How much interest will she be charged once she lets the account go past 6 months
before making a payment?
Answers
Answer:
She will be charged $180 once lets the account go past 6 months before making a payment.
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:
\(E = P*I*t\)
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:
\(T = E + P\)
In this question:
If she pays within 6 months, she is not charged any interest.
However, if after 6 months she has not paid the balance, she is charged 20% interest for this period.
Barbara financed a new bedroom set at the furniture store for $1,800.
This means that \(P = 1800\)
20 percent interest
This means that \(I = 0.2\)
How much interest will she be charged once she lets the account go past 6 months?
6 months is half a year, so this is E when \(T = 0.5\)
\(E = P*I*t\)
\(E = 1800*0.2*0.5\)
\(E = 180\)
She will be charged $180 once lets the account go past 6 months before making a payment.
find the length of IG
Answers
The length of line segment IG of the circle using the chord-chord power theorem is 6.
What is the length of line segment IG?Chord-chord power theorem simply state that "If two chords of a circle intersect, then the product of the measures of the parts of one chord is equal or the same as the product of the measures of the parts of the other chord".
From the figure:
Line segment FG = 12
Line segment GH = 4
Line segment GJ = 8
Line segment IG = ?
Now, usig the chord-chord power theorem:
Line segment FG × Line segment GH = Line segment GJ × Line segment IG
Plug in the values:
12 × 4 = 8 × Line segment IG
48 = 8 × Line segment IG
Line segment IG = 48/8
Line segment IG = 6
Therefore, the line segment IG measures 6 units.
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92 people had lunch in the cafeteria. 9 people had soup, a sandwich, and a drink. 33
people had soup, 45 had a sandwich, and 52 had a drink. 5 people had soup and a sandwich. 10 people had a sandwich and a drink. 5 people had soup and a drink. How many people had only a drink?
14 people
21 people
28 people
93 people
Answers
Answer:
28
Step-by-step explanation:
52 in toatal had a drink
10 had a drink and a sandwich
5 had drink and soup
9 had all
so in total out of the 52 drinks, 24 had a drink and something
52 - 24 = 28
If y=13 and x=y/2, solve
(5y) + (6x)
Answers
Answer:
104
Step-by-step explanation:
(5y) + (6x)
Let y = 13
x = y/2 = 13/2
(5*13) + (6*13/2)
65+39
104
Answer:
104
Step-by-step explanation:
See image below:)
Determine the amplitude of function
Answers
The amplitudes of functions are a) 8 and b) 6.
Given are the functions we need to determine the amplitude of function,
a) y = 8 Sin (x/2) + 3
b) y = 6 Cos x + 2
So,
To determine the amplitude of a trigonometric function, you can follow these steps:
For a sine function of the form y = A×sin(Bx + C) + D:
The amplitude is equal to the absolute value of the coefficient A.
For a cosine function of the form y = A×cos(Bx + C) + D:
The amplitude is equal to the absolute value of the coefficient A.
Let's apply these steps to the given functions:
a) y = 8×sin(x/2) + 3
The coefficient of sin in this function is 8, so the amplitude is |8| = 8.
Therefore, the amplitude of function a) is 8.
b) y = 6×cos(x) + 2
The coefficient of cos in this function is 6, so the amplitude is |6| = 6.
Therefore, the amplitude of function b) is 6.
Hence the amplitudes of functions are a) 8 and b) 6.
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100 BRAINLY POINTS
f(x)=18,000(1-0.012)^x ; x represents the number of years since the car started to depreciate and 18,000 = the initial value of the car. What year will you recieve the car when the car value drops below $2,000? Please do a step by step
Answers
Answer:
Given
f(x)=18,000(.88)^x
We need to find the value of x when f(x) <2000
2000 = 18000(0.88)^x
0.88^x 2000/18000
0.88^x 1/9
• x = log (1/9) / log (0.88)
• x= 17 (rounded down)
After 17 years or during year 18 the car value will drop below $2000
QUESTIONS IN PICTURE/ATTACHMENT:
Answers
The domain of the question is expressed as; 0 ≤ x ≤ 4
The range of the question is expressed as; 100 ≤ f(x) ≤ 207.36
How to find the domain and range of the graph?
The domain of a graph is defined as the set of all possible input values that makes the function possible while the range is defined as the set of all possible output values that can result from the possible input values.
Now, we are told that the insect population increases by 20% each month from May 1 to September 1.
The function that represents the insect population after x months is;
f(x) = 100(1.2)ˣ
Thus, the domain is from x = 0 to 4 months inclusive. 0 ≤ x ≤ 4
f(0) = 100(1.2)⁰
f(0) = 100
f(4) = 100(1.2)⁴
f(4) = 207.36
100 ≤ f(x) ≤ 207.36
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please help me give me explanation so i can learn will mark brainlist
Answers
Answer:
x=-1,2,3
Step-by-step explanation:
f(x) = 0 means we want to find where the graph has a y value of 0
In this example, the graph has a y value of 0 when x =-1 and when x = 2 and when x=3
There are 3 solutions to the equation f(x) = 0
2.2.PS-16
Challenge Schools A and B are competing in an academic contest. Correct answers earn 9 points.
Incorrect answers lose 2 points. In the final round, School A gives the same number of correct and
incorrect answers. School B gives no incorrect answers and the same number of correct answers as
School A. School A started the final round with 62 points. School B started with 24. The game ends
with the two schools tied. Let x represent the number of correct answers given by School A in the final
round. Write an equation that models the outcome of the contest. Then find the number of answers
that each school got correct in the final round.
Which equation models the scoring in the final round and the outcome of the contest?
OA. 9x + 2x - 62 = - 9x + 24
OB. 2x-9x + 62 = 9x + 24
OC. 9x - 2x - 62 = 9x + 24
OD. 9x - 2x + 62 = 9x + 24
Answers
Answer:
9x - 2x + 62 = 9x + 24
Number of correct answer each obtained = 19
Step-by-step explanation:
Given that:
Number of correct answers = x
POINTS for correct answers = 9
POINTS for incorrect answers = - 2
SCHOOL A:
Number of correct answers = x
Number of incorrect answers = x
Initial point = 62
Initial point + 9(number of correct answers) + - 2(number of incorrect answers)
62 + 9x - 2x
SCHOOL B :
Number of correct answers = x
Number of incorrect answers = 0
Initial point = 24
Initial point + 9(number of correct answers) + - 2(number of incorrect answers
24 + 9x
Since they end up tied :
School A = School B
62 + 9x - 2x = 24 + 9x
9x - 2x + 62 = 9x + 24
Number of correct answers gotten :
9x - 2x + 62 = 9x + 24
7x + 62 = 9x + 24
7x - 9x = 24 - 62
-2x = - 38
x = 19
Hence, Number of correct answers each obtained = 19
what value of X makes the model true?
Answers
The value of x is -1 which makes the model true
The equation from the given model will be 5x+6=1
We have to find the value of x
5x+6=1
Subtract 6 from both sides
5x=-5
Divide both sides by 5
x=-1
Hence, the value of x is -1 which makes the model true
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find the real solution(s), if any, of the system by examining the graph
Answers
Given:
\(\begin{gathered} -6x-3y=18\ldots\ldots\ldots(1) \\ \frac{x^{2}}{9}+\frac{y^{2}}{36}=1\ldots\ldots\ldots\ldots(2) \end{gathered}\)Let us consider the equation (1),
\(\begin{gathered} -6x-3y=18 \\ -2x-y=6 \\ -y=2x+6 \\ y=-(2x+6)\ldots\ldots\ldots(3) \end{gathered}\)Substitute equation (3) in (2), we get
\(\begin{gathered} \frac{x^2}{9}+\frac{(-(2x+6))^2_{}}{36}=1 \\ \frac{4x^2}{36}+\frac{4x^2+36+24x}{36}=1 \\ \frac{4x^2+4x^2+36+24x}{36}=1 \\ 8x^2+36+24x=36 \\ 8x^2+24x=0 \\ 8x(x+3)=0 \\ x=0,x=-3 \end{gathered}\)Substitute x=0 and x=-3 in equation (3) we get,
\(\begin{gathered} y=-(2(0)+6) \\ =-6 \\ y=-(2(-3)+6) \\ =0 \end{gathered}\)Hence, the solutions are, (0,-6) and (-3,0).
Let us verify this, by substituting (0,-6) and (-3,0) in equation (1), we get
For (0, -6),
\(\begin{gathered} -6(0)-3(-6)=18 \\ 18=18 \end{gathered}\)For (-3, 0)
\(\begin{gathered} -6(-3)-3(0)=18 \\ 18=18 \end{gathered}\)Hence, it is verified.
Write and solve a proposition that the teacher can use to estimate how many students in the whole school would choose the aquarium.
Answers
Answer:
Let's assume that the total number of students in the school is "x". We can create a proportion to estimate how many students would choose the aquarium based on the given information:
Number of students who chose aquarium / Total number of students in the school = Percentage of students who chose aquarium / 100
We can plug in the values we know:
80 / x = p / 100
where "p" is the percentage of students who would choose the aquarium if the entire school were surveyed.
We can solve for "x" by cross-multiplying and simplifying:
8000 = px
x = 8000 / p
Now, we need to estimate the value of "p". We can do this by finding the average percentage of students who chose the aquarium, science center, planetarium, and farm:
(80 + 60 + 30 + 40) / x = (210 / x) = Average percentage of students who chose an attraction
This tells us that, on average, 210 out of every "x" students would choose one of the attractions. We can estimate that a similar percentage of the entire school would choose the aquarium:
p / 100 = 80 / 210
p = 38.1
So, we can estimate that approximately 38.1% of the students in the whole school would choose the aquarium. To find the estimated number of students who would choose the aquarium, we can plug in this value for "p" in our original proportion:
80 / x = 38.1 / 100
Cross-multiplying and solving for "x", we get:
x = 209.71
Rounding to the nearest whole number, we can estimate that approximately 210 students in the whole school would choose the aquarium.
Step-by-step explanation:
Answer:
The teacher surveyed a total of:
80 + 60 + 30 + 40 = 210 students.
If we assume that the sample of 210 students surveyed is representative of the entire population of 1000 students at Lake Middle School, we can use the relative frequency of students choosing the aquarium in the sample to estimate the number of students in the whole school who would choose the aquarium.
The relative frequency of students choosing the aquarium in the sample is:
80/210 = 0.38
This means that approximately 38% of the students in the sample chose the aquarium.
To estimate the number of students in the whole school who would choose the aquarium, we can multiply the relative frequency by the total number of students at the school:
0.38 x 1000 = 380
Therefore, the teacher can estimate that approximately 380 students out of 1000 at Lake Middle School would choose the aquarium for a field trip.
1
Jane bought a car for £24000
2 years later she sold it for £26000
Work out her percentage profit to 1
decimal place
Answers
Formula for Profit Percentage = (Profit/C.P.) 100Where C.P. denotes the article's cost price, i.e. the price at which the article was originally purchased.
Jane bought a car for £24000
she sold it for £26000
profit = 2000
profit percentage = 2000/26000 x100 = 7.7%
What is the Profit Percentage Formula?Profit is always calculated using the cost price. The following formula is used to calculate the percentage of profit earned from a specific sale:Formula for Profit Percentage = (Profit/C.P.) 100Where C.P. denotes the article's cost price, i.e. the price at which the article was originally purchased.When a product's selling and cost prices are known, the profit can be calculated using the formula Profit = Selling Price - Cost Price. Following that, the profit percentage formula is Profit percentage = (Profit/Cost Price) 100.Here,
Jane bought a car for £24000
she sold it for £26000
profit = 2000
profit percentage = 2000/26000 x100 = 7.69%
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3x - 4 < 8 and 2x+ 2 > 4
20 points crq
Answers
Answer:
x<4 and x>1
Step-by-step explanation:
1) 3x-4<8
Add 4 to both sides first to isolate x.
3x-4<8
+4 +4
3x<12
Divide both sides by 3.
3x<12
/3 /3
x<4
2) 2x+2>4
Subtract both sides by 2 to isolate x.
2x+2>4
-2 -2
2x>2
Divide both sides by 2.
2x>2
/2 /2
x>1
Hope this helped!! Have an amazing day :3
Simplify.
2x-4
²-8+12
O
O
O
-6
x+6
x-6
-
x-2
²-82+12
Answers
The simplified value of (2x - 4)² is 4x² - 16x + 16.
First, let us understand the algebraic identities;
Algebraic identities are equations in which the left hand side of the equation is identically equal to the right hand side of the equation.
Some of the identities are:
(a + b)² = a² + 2ab + b²(a - b)² = a² - 2ab + b², etc.We are given (2x - 4)².
Use the identity (a - b)² = a² - 2ab + b² to expand to the given expression.
So, a = 2x and b = 4.
Put it into the identity, we will get;
Therefore,
(2x - 4)² = (2x)² - 2 * 2x * 4 + (4)² = 4x² - 16x + 16
Thus, the simplified value of (2x - 4)² is 4x² - 16x + 16.
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Robert can complete 10 inspections in 8 hours. Which represents the unit rate for the number of inspections he completes per hour?
Answers
Answer: 5 inspections in 4 hours, because if its 8 hours it would be 10 inspections
Step-by-step explanation:
Answer:
1.25
Step-by-step explanation:
10 ÷ 8 = 1.25
Find the critical value
χ2R
corresponding to a sample size of 5 and a confidence level of 99.0 percent
Answers
The critical value, given the sample size of 5 and the confidence level of 99. 0 percent would be 16. 812.
How to find the critical value ?The critical values for the chi-squared (χ^2) distribution depend on the degree of freedom and the level of significance.
The degree of freedom for a chi-squared distribution typically equals the sample size minus 1 so the degrees of freedom here is:
= 5 - 1
= 4
The level of significance would be:
= 1 - 99. 0 %
= 0. 01
The critical value of the sample would therefore be found on a chi -squared distribution table for df = 4 and α = 0.01 to be 16. 812.
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In two hours, Christopher can read 150 pages. At this rate, how many pages can Christopher read in three hours?
WILL RECIEVE BRAINLIST AND EXTRA POINTS
Answers
Identify the pairs of corresponding angles and corresponding sides. It may help to rotate the shapes so they are facing the same direction.
Answers
∠J = ∠M = 90°
∠ L = 45°
∠K = 90°+45° =135°
JK/ST = KL/UT = LM/UV = JM/VS = 5/6
over a 5-year period.
Investment over
5 years
Value of investment (£)
1140
1120
1100
1080
1060
61040
1020
1000
0
0 1 2 3 4 5
Year
Answers
Answer:
Year 0 900$
Year 1 1000$
year 2 1080$
Year 3 61040$- (interest comes in)
Year 4 110000$
Year 5 152000$
Step-by-step explanation:
Make sure you put that interest comes in or you will be marked wrong.
You're welcome :D GoodLuck have a good day
Zoe has 8 cups of whole-wheat flour. If each loaf of her favorite bread requires Three-fourths of a cup of whole-wheat flour, how many whole loaves of bread can she make using 8 cups?
A number line going from 0 to 8.
4 loaves
6 loaves
10 loaves
11 loaves
Answers
Explanation: The answer is 10 whole loaves.
We get this answer by dividing 8 by (3/4).
Which results in decimal points as 10.6.
Therefore meaning only 10 loaves were whole. And I said 6 because you have to divide 3/4 by 1/8 and it gives u 6
Answer:
10
Step-by-step explanation:
The average distance in miles traveled 1hour if 660miles can be covered in 1.5 hours
Answers
Answer: 440
Step-by-step explanation:
845,333,129 expanded
Answers
put down a random number get brainly points
Answers
Answer:
2658
Step-by-step explanation:
Answer: Huh
Step-by-step explanation:
Why would you throw away points
Help I need this badlyuu
Answers
By calculating the difference between the x and y coordinates, and putting it in the rise/run format, you can easily find the slope of the line
Help please!!!!
Whoever answers right gets brainliest!
Answers
When w = 10 and z = 2, the value of expression 2w⁻²z⁰ is equal to 1/50. So, correct option is A.
The expression 2w⁻²z⁰ can be simplified as follows:
2w⁻²z⁰ = 2/w² * z⁰
Since z⁰ = 1 for any non-zero value of z, we can simplify further:
2w⁻²z⁰ = 2/w² * 1
Now we can substitute w = 10 into the expression:
2(10)⁻² * 1 = 2/100 = 1/50
In general, when we have a negative exponent in an expression, we can rewrite it as a positive exponent in the denominator. In this case, w⁻² can be rewritten as 1/w². Additionally, any number raised to the power of 0 is always 1, so z⁰ = 1. By simplifying the expression, we can easily substitute the given values of w and z to evaluate the expression.
So, correct option is A.
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2(cos^4 60 +sin^4 30) -(tan^2 60 +cot^2 45) +3*sec^2 30
Answers
The value of the expression \(2(cos^4 60 + sin^4 30) -(tan^2 60 + cot^2 45) + 3\times sec^2 30 is 33/4.\)
Let's simplify the expression step by step:
Recall the values of trigonometric functions for common angles:
cos(60°) = 1/2
sin(30°) = 1/2
tan(60°) = √(3)
cot(45°) = 1
sec(30°) = 2
Substitute the values into the expression:
\(2(cos^4 60 + sin^4 30) - (tan^2 60 + cot^2 45) + 3sec^2 30\)
= \(2((1/2)^4 + (1/2)^4) - (\sqrt{(3)^2 + 1^2} ) + 3(2^2)\)
= 2(1/16 + 1/16) - (3 + 1) + 3*4
= 2(1/8) - 4 + 12
= 1/4 - 4 + 12
= -15/4 + 12
= -15/4 + 48/4
= 33/4
Therefore, the value of the expression \(2(cos^4 60 + sin^4 30) -(tan^2 60 + cot^2 45) + 3\times sec^2 30 is 33/4.\)
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Ten blocks were placed on a line at 10 cm intervals. Ten pennies between the first two blocks, 20 pennies were places between the next two blocks, then 30 pennies, 40 pennies and so on. How much money was used to fill the spaces?
Answers
Answer:
\(234\)
Step-by-step explanation:
\(4+40+60+80+50=234\)