Answer:
y = 3/4x + 12
Step-by-step explanation:
let equation of the line be y = 3/4x + b
sub (-8, 6):
6 = 3/4(-8) + b
12 = b
therefore equation of the line is y = 3/4x + 12
Topic: Coordinate Geometry
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Answer:
General Form of Equation of a line that passes through the point (-8,6) and has a slope of 3/4 is:
[tex]\frac{3}{4}x-y+12=0[/tex]
Step-by-step explanation:
We need to find equation of line that passes through the point (-8,6) and has a slope of 3/4 in general form.
The general form of linear equation is [tex]Ax+By+C=0[/tex]
First we will use slope-intercept form i.e, [tex]y=mx+b[/tex] to find equation and then write it in general form.
Where m is slope and b is y-intercept.
We are given slope = 3/4 but y-intercept is not given and we need to find.
Finding y-intercept
Using the point (-8,6) and slope m = 3/4 we can find y-intercept
[tex]y=mx+b\\6=\frac{3}{4}(-8)+b\\6=3(-2)+b\\6=-6+b\\b=6+6\\b=12[/tex]
So, y-intercept b is 12
Equation of line
The line has slope m=3/4 and y-intercept b is 12, the equation is:
[tex]y=mx+b\\y=\frac{3}{4}x+12[/tex]
General Form of Equation of a line that passes through the point (-8,6) and has a slope of 3/4 is:
[tex]\frac{3}{4}x-y+12=0[/tex]
Jen borrows $4,000 from her bank. She has a simple interest loan at a 5% interest rate and will pay it back over 4 years. How much interest will she pay on this loan?
Answer:
depends on how much she pays per month, anywhere from $16.67-$583,179.69
what is 6n - 15
Plz answer quickly. I need help
Answer:
n=-2.5
Step-by-step explanation:
I hope this is correct and have a great day
1. In order for cos 47 to equal sin A, what must the measure of angle A be?
Explanation:
The rule used here is
if sin(A) = cos(B), then A+B = 90.
In this case, B = 47, meaning that,
A+B = 90
A+47 = 90
A = 90-47
A = 43
Therefore,
sin(43) = cos(47)
i need to fill in this table to show a proportional relationship.
Answer:
x 2 4 10 12 20 33
y 6 12 30 36 60 99
In this polygon Find x
Answer:
x=125
Step-by-step explanation:
A 7 sided figure (heptagon) has interior angles equaling 900°. (7-2)x180
900-60-90=750
6x=750
x=750÷6
x=125
Every year, the students at a school are given a musical aptitude test that rates them from 0 (no musical aptitude) to 5 (high musical aptitude). This year's results were:
The question is incomplete. Here is the complete question.
Every year, the students at a school are given a musical aptitude test that rates them from 0 (no musical aptitude) to 5 (high musical aptitude). This year's results were shown in the figure below.
The average (mean) aptitude score:
The median aptitude score:
Answer: mean: 2.73
median: 3
Step-by-step explanation: Mean is the average number of a set of numbers.
The table below shows a frequency of students to each score of the test. To calculate mean with a frequency table, do the following:
[tex]mean=\frac{\Sigma (score*frequency)}{\Sigma frequency}[/tex]
[tex]mean=\frac{0*1+1*5+2*0+3*3+4*3+5*3}{1+5+0+3+3+3}[/tex]
mean = 2.73
Median is the middle term of a set of data.
When there is a frequency table, median is calculated as:
1) First, determine the total number of observations (n).
For this table, n = 15
2) Because n is odd, find the position of the median using:
[tex]position=\frac{n+1}{2}[/tex]
position = 8th
3) The median will be in the 8th position. To find the position, we add the frequencies and in doing so, we notice the position we want is in the score 3 category. So, the median for this frequency table is 3.
Average score of a musical aptitude test is 2.73 and median is 3
I need help on this again :(
Answer:
"Some whole numbers are irrational numbers" False
"Some rational numbers are not whole numbers" True
"Some irrational numbers are not integers" True
"All rational numbers are integers" False
Step-by-step explanation:
Answer:
Step-by-step explanation:
1). False
2). True
3). False (all irrational numbers are not integers)
4). False
What is the area of the obtuse triangle given below?
7
11
A. 24 sq. units
B. 36 sq. units
C. 108 sq. units
D. 54 sq. units
Step-by-step explanation:
I/2×7×11 can't be bothered using a calculator
Answer:
54 sq units
Step-by-step explanation:
What is 7/5 into a mixed number?
Answer:
improper fraction: 7/5
mixed number: 1 2/5
Answer:
1 and 2/5 or 1 2/5
Step-by-step explanation:
7/5 is a mixed number
7 - 5 = 2
The mixed number for the fraction 7/5 is 1 and 2/5
I Hope That This Helps! :)
What is the length of side c?
3. Angle RST is a right angle as shown in the figure. What is the measure of angle
UST?*
25
75 degrees
90 degrees
55 degrees
65 degrees
Answer:
Ccf
Step-by-step explanation:
WILL GIVE BRAINLIEST !!! What is the axis of symmetry for the function, f(x) = −2(x − 4)2 + 2 ?
Answer:
[tex]x=4[/tex]
Step-by-step explanation:
We have the function:
[tex]f(x)=-2(x-4)^2+2[/tex]
This is a quadratic in vertex form:
[tex]f(x)=a(x-h)^2+k[/tex]
Where (h, k) is the vertex.
So, according to the equation, h=4 and k=2.
Hence, our vertex is at (4, 2).
Remember that the axis of symmetry is the vertical line that passes through the x-coordinate of the vertex.
Hence, our axis of symmetry is x=4.
which equation could be used to find 150% of 500
Answer:
500x1.5
Step-by-step explanation:
HELP PLEASE THIS IS DUE MONDAY! :(( GIVING 25 POINTS !!!
Answer:
For 7m^2: 8.4
For .5m^2: .6
For 12 liters of paint: 10m^2
and for 6.6: 5.5m^2
Answer:
a) 8.4
b) 0.6
Step-by-step explanation:
a) 1.2L=1m^2
8.4L = 7m^2
7 times 1.2 is 8.4
b) 1.2L=1m^2
0.6L=0.5m^2
1.2 times 0.5 or 1.2 divided by 2 is 0.6
Find the vertex.
f(x) = 10x2 – 17
Answer:
(0,-17)
Step-by-step explanation:
You are interested in determining if the average amount of time (in hours) that students spend on the Internet per day is greater than 2 hours. The data below are from a random sample of 11 students. 2.5 100 .5 1 1.5 3 3.5 4 3 4 2.5 What did you notice from your preliminary analysis of the data
Answer:
The data is not appropriately normal.
Step-by-step explanation:
In inferential statistics, a normal distribution is said to be symmetric and should be single-peaked when working with a random selection of a large sample.
The high number of the sample is 100 which is further from other samples, the central limit theorem explains that the sample size of independent mean must be large enough to mimic the population for the sample to be normal or nearly normal. So, the sample is not appropriately normal and should be larger in size.
Kevin wants to buy his mom a $35 necklace. If the necklace is 40% off, how much will Kevin have to pay?
Answer:
21 dollars
Step-by-step explanation:
like my answer pls :)
Kevin will have to pay the amount of $21 for the necklace when the necklace is 40% off.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
Kevin wishes to purchase a $35 necklace for his mother. If the necklace is on sale for 40% off,
If the necklace is 40% off, Kevin will have to pay 60% of the original price, since 100 - 40 = 60.
To find out how much Kevin will have to pay, you can multiply the original price of the necklace by 60% and then divide the result by 100 to convert it to a dollar amount.
For example, if you multiply $35 by 60% and then divide by 100, you get:
($35 × 60%) / 100 = $21
Therefore, he will have to pay $21 for the necklace.
Learn more about the percentages here:
brainly.com/question/24159063
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In rectangle PQRS, PR = 18 x - 24 and QS = x + 146, find the value of x and the length of
each diagonal.
Q
S
R
a. x = 11, PR = 156, QS = 156
b. x = 10, PR = 78, QS = 78
c. x = 5, PR = 151, QS = 151
d. x = 11, PR = 174, QS = 174
e. x = 10,PR = 156 QS = 156.
Answer:
The answer is the first one, A
Step-by-step explanation:
5x + 3= 7x - 1. Find x
Answer:
x=2Step-by-step explanation:
5x -7x = -1 -3
-2x = -4
x=2hope it helps:)
Use the drop-down menu to complete the statement. What is 3 divided by 2/5?
Answer:
0.3
Step-by-step explanation:
Tell me if it's wrong I have another answer
Answer:
2/5 is the correct answer.
Step-by-step explanation:
First to get correct gets brainliest!!
Mary-Ann has $28, which is 2 1/3 as much money as Lola has. How much money does Lola have?
Answer:
$12
Step-by-step explanation:
Lola has x.
Mary-Ann has 2 1/3 times Lola's amount, so Mary-Ann has (2 1/3)x.
Mary-Ann has $28.
(2 1/3)x = 28
7/3 x = 28
Multiply both sides by 3/7.
x = 28 * 3/7
x = 12
Lola has $12.
5. Which of the following statements is true?
(a) Two acute angles can be complementary to each other
(b) Two obtuse angles can be complementary to each other
(c) Two right angles can be complementary to each other
(d) One obtuse angle and one acute angle can be complementary to each other
Kacy is on her freshman basketball team. She makes 48% of her foul shots, leading her team to 14 wins in 17 games for the season.
If Kacy took 78 foul shots during the season, how many shots did she make?
Answer:
37 shots
Step-by-step explanation:
48% = 48/100
Set the ratios equal to each other so that we can find "x" the number of shots she made.
48/100 = x/78
78*48 = 3744
3744/100 = 37.44
She made 37 shots
2)
write place value of 3 in 32,840
Answer:
The 3 is in the ten thousands place.
3 is 30 thousand
2 is 2 thousand
8 is 8 hundred
4 is 4 tens
0 is 0 ones
Answer:
The 3 is in the hundred-thousands
Step-by-step explanation:
361.2 ÷ ________ = 036.12 (3 points)
a
1,000
b
100
c
10
d
1
Answer:
C. 10
Step-by-step explanation:
You can take the blank as x
so 361.2 / x = 36.12
multiply by x
361.2 = 36.12x
divide
x = 10
Answer:
C. 10
Step-by-step explanation:
When dividing a number by 10, you are moving the decimal place to the left by one placing.
361.2/10 = 36.12
Simply move the decimal from between 1 and 2 to between 6 and 1.
What is the distance between-40 and 83 on a number line
Answer:123
Step-by-step explanation:
Sandpoint shopping install 80 apples on a cart he bought 20 of them what percent did he by what percent did not buy
HELP
Answer:
he bought 25% and he didn't buy 75%
Step-by-step explanation:
If it costs $104.00 for 13 hamburgers, what is the cost of 1 hamburger?
Answer: $8 for 1 hamburger
Step-by-step explanation:
Dionne Washington wants to sell natural fruit flavored water at her neighborhood block party. She wrote the amount of money she spent as a function of the number of bottle sold. Which set of numbers would be an appropriate domain for dionne’s function?
Answer:
…, −3.5, −2.5, −1.5, 0, 1.5, 2.5, 3.5, …
Step-by-step explanation:
0, 1, 2, 3, 4, …
…, −4, −3, −2, −1, 0
…, −3, −2, −1, 0, 1, 2, 3, …
…, −3.5, −2.5, −1.5, 0, 1.5, 2.5, 3.5, …
A company rents bicycles to customers. The company charges an initial fee plus an hourly rate. This table shows the total cost to rent a bicycle for different amounts of time.
What is the initial fee, in dollars, that the company charges to rent a bicycle?
Answer:
4, 3.3, and 3.2 the answer would be $10.05
Step-by-step explanation:
The initial fee that the company charges is equivalent to $2.
What is a mathematical equation and expression?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is that a company rents bicycles to customers. The company charges an initial fee plus an hourly rate. This table shown in the question gives the total cost to rent a bicycle for different amounts of time.
Assume that the initial fee is equivalent to $x. Then we can write the charge function as -
C(x) = mx + c
Now -
C(x) = {(20 - 8)/(6 - 2)}x + c
C(x) = (12/4)x + c
C(x) = 3x + c
For (2, 8) , we can write -
8 = 3 x 2 + c
c = 8 - 6
c = 2
Therefore, the initial fee that the company charges is equivalent to $2.
To solve more questions on functions, expressions and polynomials, visit the link below -
brainly.com/question/17421223
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