The slope is always rise/run and has a variable. In this case, 2/3x is the slope.
The y-intercept is always the number at the end, which is the y-value. This would mean that 5 is the y-intercept.
Answer:
Step-by-step explanation:
Y = ⅔X + 5
Comparing with y = mx + c
Where m is the slope and c is the intercept
m = ⅔ and c = 5
What is solution of 8x-2y =1 and -4x+y = 3
Answer: it has no solution
Step-by-step explanation:
8x - 2y = 1 ..................... equation 1
-4x + y = 3 ...................... equation 2
solving the system of linear equation by substitution method . From equation 2 , make y the subject of the formula.
y = 3 + 4x .......................... equation 3
substitute equation 3 into equation 1 .
8x - 2(3 + 4x ) = 1
8x - 6 - 8x = 1
8x- 8x - 6 = 1
-6 = 1
this means that the equation has no solution
A group of students go out for lunch. If two have
hamburgers and five have hot dogs, the bill will be
$8.00. If five have hamburgers and two have hot dogs,
the bill will be $9.50. What is the price of a hamburger?
Answer:
1.50$
Step-by-step explanation:
2 hamburgers would equal 3$ and if the hot dogs are 1$ each it woul make the equation true
To find the price of a hamburger, set up a system of equations and solve for the price using the given information. So, the price of a hamburger is $2.50
Explanation:To find the price of a hamburger, we can set up a system of equations based on the given information.
Let x be the price of a hamburger.
From the first scenario, we have 2x + 5(0.50) = 8.00.
From the second scenario, we have 5x + 2(0.50) = 9.50.
Simplifying these equations gives us 2x + 2.50 = 8.00 and 5x + 1.00 = 9.50.
Solving these equations, we find that x = $2.50.
Therefore, the price of a hamburger is $2.50.
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in the three stacks of books there are 15 books, 9 books and 9 books if the books were rearranged so that the stack had the same number of books how many books would be even?
Answer:
There would be 11 books in each stack, to have the same number.
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Books in stack 1 = 15
Books in stack 2 = 9
Books in stack 3 = 9
2. If the books were rearranged so that the stack had the same number of books how many books would be even?
Total books = Books in stack 1 + Books in stack 2 + Books in stack 3
Total books = 15 + 9 + 9
Total books = 33
Total books/Number of stacks = Number of books per stack to be the same
33/3 = Number of books per stack to be the same
Number of books per stack to be the same = 11
The average score on the statistics final exam was 85 and the standard deviation was 2.5 . Chris scored a 95 . Chris scored higher than what percent of his class?
Answer:
55%
Step-by-step explanation:
its honestly just a guess
Madison Middle School spends $750 per year on club activities. They spend at least twice the amount on after school activities. Write an inequality that represents how much they spend on after school activities
Answer:
x≥1500
Step-by-step explanation:
2/5 times 25 help I got game day tomorrow
Answer:
10
Step-by-step explanation:
You are doing:
(2/5) * 25
You can do it two ways, first divide, then multiply, OR multiply, then divide.
In this case, I will multiply, then divide:
First, multiply:
(2 * 25)/5 = (50)/5
Next, divide:
50/5 = 10
10 is your answer.
~
Which salt is the most common found in ocean water?
A.) calcium carbonate
B.) magnesium
C.) potassium
D.) sodium chloride
Answer:
sodium chloride
Step-by-step explanation:
sea salt is basically sodium chloride
Answer:
Sodium chloride is the most abundant salt
Step-by-step explanation:
Determine the slope of the line that passes through points (0, -4) and (-1,2).
6
-6
-1/6
1/6
Answer:
B) -6
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(2-(-4))/(-1-0)
m=(2+4)/(-1)
m=6/-1
m=-6
the answer is B, -6, because if you graph it the line goes down and it rises up 6
what is the slope a ski run that rises 8 feet for every horizontal change of 72 feet
Answer:
the slope of the ski run is 9
-12 * 7/2
Please explain
Answer:-42
Step-by-step explanation:
-12*7/2
Is also represented like this
-12/1*7/2 proper fraction
Multiple -12*7 and divide by 2
-84/2= -42
Answer:
Using BIDMAS the answer equates to -42.
Step-by-step explanation:
What is the product (3x-6)(2x2-7x+1)
Answer:
[tex]\large\boxed{6x^3-33x^2+45x-6}[/tex]
Step-by-step explanation:
[tex]\text{Use FOIL:}\ (a+b)(c+d)=ac+ad+bc+bd\\\\(3x-6)(2x^2-7x+1)\\\\=(3x)(2x^2)+(3x)(-7x)+(3x)(1)+(-6)(2x^2)+(-6)(-7x)+(-6)(1)\\\\=6x^3-21x^2+3x-12x^2+42x-6\qquad\text{combine like terms}\\\\=6x^3+(-21x^2-12x^2)+(3x+42x)-6\\\\=6x^3-33x^2+45x-6[/tex]
old mcdonald has 100 chickens and goats in the barnyard. Altogether, there are 284 feet. How many chickens and how many goats are in the barnyard?
Answer:
58 chickens, 42 goats
Step-by-step explanation:
there are a total of 100 chickens and goats
c + g = 100....c = 100 - g
there are 284 feet....chickens have 2 feet and goats have 4 feet
2c + 4g = 284
2(100 - g) + 4g = 284
200 - 2g + 4g = 284
-2g + 4g = 284 - 200
2g = 84
g = 84/2
g = 42 <===== goats
c + g = 100
c + 42 = 100
c = 100 - 42
c = 58 <==== chickens
Final answer:
To solve the problem, set up equations based on the number of feet each animal has, then use substitution to find there are 58 chickens and 42 goats in the barnyard.
Explanation:
How to Solve Problems Involving Numbers of Chickens and Goats
Old McDonald has 100 chickens and goats in the barnyard, and altogether, there are 284 feet. To find out how many chickens and how many goats are there, we can set up a system of equations based on the information given. A chicken has 2 feet and a goat has 4 feet. Let's assign the variable C to represent the number of chickens and G to represent the number of goats.
We are given two pieces of information which we will translate into two equations:
Equation 1: C + G = 100 (since there are 100 chickens and goats in total)
Equation 2: 2C + 4G = 284 (since chickens have 2 feet and goats have 4 feet)
To solve for C and G, we can multiply Equation 1 by 2 to align it with the coefficients of Equation 2:
2C + 2G = 200
Now, subtract this new equation from Equation 2 to solve for G:
(2C + 4G) - (2C + 2G) = 284 - 200
2G = 84
G = 42
With G known, we can substitute it back into Equation 1 to find C:
C + 42 = 100
C = 58
Therefore, there are 58 chickens and 42 goats in the barnyard.
if you get 17 out of 20 questions correct on your next test what percent of the test did you answer correctly?
Answer:
85%
Step-by-step explanation:
Just use a calculator to divide 17 by 20. That gives you .85. To convert into a percent, multiply by 100, giving you an 85%.
A trick I use to convert decimals into percents is to jut move the decimal point 2 spaces to the right.
You answered 85% of the test questions correctly.
To find the percentage of questions answered correctly, we can use the formula:
Percentage = (Number of questions answered correctly / Total number of questions) × 100
In this case, you answered 17 out of 20 questions correctly. Plugging these values into the formula:
Percentage = (17 / 20) × 100
Percentage = 0.85 × 100
Percentage = 85
Therefore, you answered 85% of the test questions correctly.
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F^-1(4) when f(x) = 3x - 4/ 5
Answer: [tex]f^{-1}(4)=\frac{8}{5}[/tex]
Step-by-step explanation:
1. You need to find the Inverse function [tex]f^{-1}(x)[/tex]:
- Given the function f(x):
[tex]f(x) = 3x - \frac{4}{ 5}[/tex]
- Rewrite it with [tex]f(x)=y[/tex]:
[tex]y= 3x - \frac{4}{ 5}[/tex]
- Now you must solve for "x":
[tex]y+\frac{4}{ 5} = 3x\\\\(y+\frac{4}{ 5})(3)=x\\\\x=\frac{y}{3}+\frac{4}{15}[/tex]
- Now you must exchange the variables:
[tex]y=\frac{x}{3}+\frac{4}{15}[/tex]
- Then:
[tex]f^{-1}(x)=\frac{x}{3}+\frac{4}{15}[/tex]
2. Substitute [tex]x=4[/tex] into the Inverse function and then evaluate:
[tex]f^{-1}(4)=\frac{(4)}{3}+\frac{4}{15}\\\\f^{-1}(4)=\frac{8}{5}[/tex]
Finn bought 12 movie tickets. Student tickets cost $4, and adult tickets
cost $8. Finn spent a total of $60. Write a system of equations
to find the number of student and adult tickets Finn bought.
Answer:
x=9(student cost)
y=3(adult cost)
12=4x+8y
60=4x+8y
Answer:
x=9(student cost)
y=3(adult cost)
12=4x+8y
60=4x+8y
Step-by-step explanation:
Suppose you deposit $7500 in a saving account that has as interest rate of 5.5.
If the interest is compounded monthly, what will the approximate balance of this saving account be in 3 years?
Answer:
ok so im going give the equation to fiqure this along with the awnser,
the basic equation is A=P (1+R/N)N(T)
P= Principle (Starting amount)
R= Interest rate
N= Amount of time compounded PER YEAR
T= amount of years
Step-by-step explanation:
so this would be A=$7500 (1+ 0.055/12)12(3)
which come to A=$7500 (1.178948602)
which comes to a total of $8842.11
hope this helps
Final answer:
The balance of a savings account with an initial deposit of $7500 and an annual interest rate of 5.5%, compounded monthly, will be approximately $8863.52 after 3 years.
Explanation:
The question involves the concept of compound interest, more specifically how much the balance of a savings account with an initial deposit of $7500 and an annual interest rate of 5.5%, compounded monthly, will be in 3 years. To calculate this, we use the compound interest formula: A = P(1 + r/n)^(nt), where:
A = the amount of money accumulated after n years, including interest.P = the principal amount (the initial amount of money).r = the annual interest rate (decimal).n = the number of times that interest is compounded per year.t = the time the money is invested for, in years.For the given problem:
P = $7500r = 5.5% or 0.055 (as a decimal)n = 12 (since it's compounded monthly)t = 3 yearsWe can substitute the values into the formula:
A = 7500(1 + 0.055/12)^(12*3)
Calculating this out, we find:
A = 7500(1 + 0.0045833)³⁶
A = 7500(1.0045833)³⁶
A = 7500(1.1811360235)
A = $8863.52 (approximately)
Therefore, the approximate balance of the savings account after 3 years will be $8863.52.
5[8 (7 — 4) divided by 6]
What is the value of the expression?
Please please please answer!
Answer:
20
Explanation:
PEMDAS
How would you solve 4n-2n=4?
Answer:
n = 2
Explanation:
Simplify both sides of the equation
4n − 2n = 4
4n + −2n = 4
(4n + −2n) = 4 (Combine Like Terms)
2n = 4
2n = 4
Divide both sides by 2
2n / 2 = 4 / 2
n = 2
4n-2n=4
4n-2n= 2n
2n=4
÷2
n=2
Consider the Piece-Wise graph described by the following equation:
Determine the coordinates of the point on the graph where x=3.
(3, 1)
(3, 3)
(3, 5)
(3, 13)
Answer:
(3, 5 )
Step-by-step explanation:
when x = 3, that is x ≥ 3, thus
y = 2x - 1 = 2(3) - 1 = 6 - 1 = 5 ⇒ (3, 5 ) is the point on the graph
5 minus what equals 4.329
Final answer:
5 minus 0.671 equals 4.329.
Explanation:
The student is asking for the number that, when subtracted from 5, equals 4.329. To find this number, you subtract 4.329 from 5:
5 - x = 4.329
Solving for x, you subtract 4.329 from 5:
x = 5 - 4.329
x = 0.671
Therefore, 5 minus 0.671 equals 4.329. When dealing with subtraction, it's important to round the result correctly, just as with other operations such as addition, multiplication, and division.
Raj has a $25 budget to spend on decorations for a party he has already spent $18.60 he now wants to get some helium balloons that’s cost $0.80 each write and solve an inequality to show the number of balloons the raj could buy
Answer:
The number of balloons Raj could buy is 8.
Step-by-step explanation:
Given:
Raj has a $25 budget to spend on decorations for a party.
He has already spent $18.60.
He wants to get some helium balloons that’s cost $0.80 each.
Now, to write and solve an inequality to show the number of balloons Raj could buy.
Let the number of balloons be [tex]x.[/tex]
Cost of each balloons = $0.80.
So, the total cost of balloons = [tex]0.80x.[/tex]
He already spent = $18.60.
Total budget Raj has = $25.
Now, to solve an inequality to show the number of balloons:
[tex]0.80x+18.60\leq 25[/tex]
Subtracting both sides by 18.60 we get:
[tex]0.80x\leq 6.40[/tex]
Dividing both sides by 0.80 we get:
[tex]x\leq 8.[/tex]
Therefore, the number of balloons Raj could buy is 8.
What is bigger -8 or 5
5 is bigger because its right of your number line and it isn’t -8 because it below 0 and left of the number
f(1)=−1.8 f(n)=f(n−1)⋅9 Find an explicit formula for f(n)
Answer:
f(1) = - 1.8
f(n) = f(1) x 9ⁿ⁻¹
Step-by-step explanation:
f(1) = - 1.8
f(n) = f(1) x 9ⁿ⁻¹
f(1) = - 1.8 x 9⁰ = -1.8
f(2) = - 1.8 x 9¹
f(3) = - 1.8 x 9²
check:
f(1)=−1.8
f(n)=f(n−1)⋅9
f(2) = f(1) x 9 = -1.8 x 9¹
f(3) = f(2) x 9 = (- 1.8 x 9) x 9 = -1.8 x 9²
Answer: f(n)= -1.8*9^n-1
Step-by-step explanation:
A package of 35 pencils cost $5.25. At his rate what is the cost of 1 pencil
The diagram shows several planes, lines, and points.
Which statement is true about line h?
O Line h intersects line fat two points, A and B.
Line h is the intersection of planes Rand T.
Line h intersects plane pat point C.
© Line h has points on planes R P, and T.
Answer:
The true statement is Line h has points on planes R, P, and T
Step-by-step explanation:
The rest of the question is the attached figure
According to the graph, we will check which option is true.
a. Line h intersects line f at two points, A and B (Wrong)
Because: h intersects line f at B only.
b. Line h is the intersection of planes R and T (Wrong)
Because: g is the intersection of planes R and T
c. Line h intersects plane P at point C (Wrong)
Because: h intersects plane P at point B
d. Line h has points on planes R, P, and T (True)
Because h has the point B on the plane P, h has the point A on the plane T
and the points of h on the plane R
Answer:
Line h has points on planes R, P, and T
Step-by-step explanation:
did the test
What is the answer to the problem 1 + -4
Answer:
-3
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
cuz its like 4-1
y = 0.0043x3 − 0.24x2 + 0.583x + 199.8
what does this look like graphed ?
Answer:
Table and graph attached
Step-by-step explanation:
Graph of a Function
Given a real function f(x), we can construct its graph by taking random values for x, computing f(x) for each selected value, and plotting the pairs (x,f(x)) in a rectangular grid. By joining the points we get an approximate graph.
It's not always easy to find an appropriate set of values for x which makes the important part of the graph be clearly shown in the graph. We select the range for x between -30 and +70. The results are shown in the table below.
The graph is also shown in the second image provided.
Jackie is thinking of one number and Adrian is thinking of another. Camila thought if I take these two numbers, they have a product of 567 and a difference of six. Jackie’s number is higher than Adrian’s. What are Jackie’s and Adrian’s numbers?
Answer:
Jackie: 27Adrian: 21Step-by-step explanation:
Integers with a product of 567 are ...
567 = 1·567 = 3·189 = 7·81 = 9·63 = 21·27
The last of these pairs of factors have a difference of 6, so they are the answers.
Jackie's number is 27; Adrian's number is 21.
_____
You could let "a" represent Adrian's number and write the equation ...
a(a +6) = 567
a^2 +6a +9 = 576 . . . . . complete the square
(a +3)^2 = 24^2 . . . . . . . write as squares
a = -3 +24 = 21 . . . . . . . . take the positive square root; subtract 3
Adrian's number is 21; Jackie's number is 27.
Line V has a slope of 8/9. Line w is perpendicular to V. What is the slope of line W?
Answer:
W = -9/8
Step-by-step explanation:
for two perpendicular lines
W*V = -1
W = 9/8*(-1)
W= -9/8
Final answer:
The slope of line W, which is perpendicular to line V with a slope of 8/9, is -9/8.
Explanation:
The slope of a line perpendicular to another in a two-dimensional plane is the negative reciprocal of the original line’s slope. Given that line V has a slope of 8/9, the slope of the perpendicular line W would be -9/8. This is because the product of the slopes of two perpendicular lines is -1 (negative one). Therefore, the slope of the line W, which is perpendicular to V, is -9/8.
Find the value of x. Round to the nearest degree.
Select one:
a. 53
b. 37
c. 49
d. 39
Answer:
a. 53
Step-by-step explanation:
The side with length 15 is opposite the right angle, so it is the hypotenuse of the right triangle.
For angle x, the side measuring 12 is the opposite leg.
Our 3 items of interest are: angle, opposite leg, hypotenuse.
The trig ratio that relates the opposite leg to the hypotenuse is the sine ratio.
sin x = opp/hyp
sin x = 12/15
sin x = 0.8
Now we take the inverse sine of 0.8 to find the measure of the angle.
x = sin^(-1) 0.8 = 53 deg