Answer:
Step-by-step explanation:
7 = (y+2)/(x-1)
Parallel lines have equal slopes.
You can "massage" the form into any form you need.
The sum of three numbers is 12. If the second number is subtracted from the sum of the first and third numbers, the result is 2. If the third number is subtracted from the sum of the first and second numbers, the result is 4. Find the three numbers.
Answer:
the numbers are 3, 5, 4
Step-by-step explanation:
The given relations can be written as a system of equations. These are conveniently solved using elimination.
SetupLet the three numbers be represented by x, y, z. The given relations are ...
x +y +z = 12
x -y +z = 2
x +y -z = 4
SolutionSubtracting the second equation from the first gives ...
(x +y +z) -(x -y +z) = (12) -(2)
2y = 10 . . . . . . . . . simplify
y = 5 . . . . . . . . divide by 2
Subtracting the third equation from the first gives ...
(x +y +z) -(x +y -z) = (12) -(4)
2z = 8 . . . . . . . . . simplify
z = 4 . . . . . . . . divide by 2
Using these values of y and z in the first equation lets us find x:
x +5 +4 = 12
x = 3 . . . . . . . . . subtract 9
The numbers, in order, are (3, 5, 4).
2.1 If 5 + 3 = 0 and < 0, evaluate (without using a calculator):
2.1.1 22 − 1 (4)
2.1.2 2 + 2 (3)
2.1.3 1 − 2
1. 18
2.8
3.-1
What is expression?An expression is a set of terms combined using the operations +, – , x or ,/.
Given:
1. 22 − 1 (4)
=22- 1*4
= 22-4
= 18
2. 2 + 2 (3)
=2+2*3
=2+6
=8
3. 1 − 2
= -1
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In the parallelogram above what is the value of x?Please explain for brainlest
E.36
F.18
G.6
H.5
Juan got 4 questions incorrect out of the 80 questions on his exam. Express the number of questions that he got correct as a fraction of the total number of questions on the exam, and reduce the fraction to the lowest terms
Answer:
19/20
Step-by-step explanation:
He got 4 incorrect, meaning he got 80-4 correct.
80-4 = 76.
Fraction = 76/80 = 38/40 = 19/20.
Answer:
19/20
Step-by-step explanation:
[tex]\frac{80-4}{80} =\frac{76}{80} =\frac{19}{20}[/tex]
Hope this helps
Jim weighs 30 pounds less than Tom, and together they weigh 210 pounds. Let n = Tom's weight in pounds.
(n - 30) + n = 210
(n + 30) + n = 180
(n + 30) + n = 210
(n - 30) + n = 180
The equation that represents the given problem is (n-30) + n = 210. The correct option is the first option (n-30) + n = 210
Linear equationFrom the question, we are to write an equation for the given problem
From the given information,
n = Tom's weight in pounds
If Jim weighs 30 pounds less than Tom
Then,
Jim weighs (n - 30)
Thus,
The sum of their weight is
(n-30) + n
∴ (n-30) + n = 210
Hence, the equation that represents the given problem is (n-30) + n = 210. The correct option is the first option (n-30) + n = 210
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The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is twice the measure of the first angle. The third angle is fourteen more than the second. Find the measures (in degrees) of the three angles.
Graph F(x)=-6|x| how to graph this
See the graph in the attached image.
Given f(x) = 4x + 2, find f-1(3).
Answer:
1/4
Step-by-step explanation:
The inverse function tells you the input value that corresponds to the given output value of the function.
ApplicationYou want f^-1(3), which is the value of x such that f(x) = 3.
f(x) = 3 = 4x +2
1 = 4x . . . . . . subtract 2
1/4 = x . . . . . divide by 4
The inverse function of 3 is 1/4:
[tex]\boxed{f^{-1}(3)=\dfrac{1}{4}}[/tex]
if you borrow 200$ for 12 years at an annual interest rate of 2%,how much will you pay altogether!!!!!!HURRY
Answer:
248.00
Step-by-step explanation:
A = P(1 + rt)
A = the future value
P = the initial principal
r = annual interest rate (decimal)
t = the time in years
A=200(1+0.2*12)
Find the interval in which the function is positive. f(x) = x2 - 7x + 10 I. (-, 2) II. (2, 5) III. (5,)
Step-by-step explanation:
f(x) = x2-7x+10
f(x) = -5x+10 = -5(x-2)
= 10-5x
Let, f(x) = 0
0 = 10-5x
5x = 10
x = 2
f(2) = 10 - 10 = 0
f(5) = 10-5(5) = 10-25 = -15
Let, f(y) = f(x)
= 10-5x
y = -0
So, the correct answer is I. (- , 2) ✔✔
A decorator wants to line the bottom with through George with paper if the bottom each drawer measures 36“ x 20“ how many square inches of paper are needed
The amount of paper that are needed to line the bottom of 3 drawers with paper is equal to 2,160 square inches.
How to determine the amount of paper?First of all, we would calculate the area of the bottom of each drawer as follows:
Area = length × width
Area = 36 × 20
Area = 720 square inches.
Next, we would multiply this area by 3:
Total area = 720 × 3
Total area = 2,160 square inches.
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Complete Question:
A decorator wants to line the bottom of 3 drawers with paper. If the bottom of each drawer measures 36 inches by 20 inches, how many square inches of paper are needed?
A. 1,040
B. 1,080
C. 2,040
D. 2,160
Write 18,25% as a common fraction in its simplest form.
Step-by-step explanation:
1825%
and percentage means 100
so 1825/100=73/4
Of the
50
5050 U.S. states,
4
44 have names that start with the letter
W
Wstart text, W, end text.
What percentage of U.S. states have names that start with the letter
W
Wstart text, W, end text?
The 8% of us states have names that start with the letter w the answer is 8%.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
The complete question is:
Of the 50 us states 4 have names that start with the letter w what percentage of us states have names that start with the letter w.
The percentage of the US states that have names that start with the letter W can be calculated:
Percentage = (No of US states starting with W/Total no of US states)×100
Percentage = (4/50)×100
Percentage = 8%
Thus, the 8% of us states have names that start with the letter w the answer is 8%.
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If you know this please help
1) given
2) given
3) Definition of linear pair
4) If alternate interior angles are congruent, then the lines are parallel.
Can anyone help me solve this question?
Answer:
corresponding angles
Step-by-step explanation:
i dont cap
simplify the expression by using the distributive property and combining like terms
6(3y + 7) + 4(9+9y)
Answer:
54y+78
Step-by-step explanation:
6*3y+ 18y
6*7=42
4*9=36
4*9y=36y
18y+36y+42+36= 54y+78
The region under the curve with equation y = 1/(2x-1) is rotated through four right angles about the x-axis to form a solid. Find the volume of the solid between x=3 and x = 8.
Using the disk method, the volume of the solid is
[tex]\displaystyle \pi \int_3^8 \left(\dfrac1{2x-1}\right)^2 \, dx = \pi \int_3^8 \frac{dx}{(2x-1)^2}[/tex]
Substitute [tex]u = 2x-1[/tex] and [tex]du=2\,dx[/tex].
[tex]\displaystyle \pi \int_3^8 \frac{dx}{(2x-1)^2} = \frac\pi2 \int_5^{15} \frac{du}{u^2} \\\\ ~~~~~~~~ = -\frac\pi2 \frac1u \bigg|_5^{15} \\\\ ~~~~~~~~ = -\frac\pi2 \left(\frac1{15} - \frac15\right) = \boxed{\frac\pi{15}}[/tex]
Which expression is
equivalent to the following complex fraction?
Answer:
(y - x)/(y + x)
Step-by-step explanation:
(1/x - 1/y)/(1/x + 1/y) =
= (1/x - 1/y)/(1/x + 1/y) × (xy)/(xy)
= (y - x)/(y + x)
Complete the following, using ordinary interest. (Use Days in a year table.) (Do not round intermediate calculations. Round the "Interest" and "Maturity value" to the nearest cent.)
Principal: 1,000
Interest rate: 8%
Date borrowed: March 8
Date repaid: June 9
Exact time:
Interest:
Maturity value:
Answer:
75
Step-by-step explanation:
Interpret, in a written description, what the graph is saying about the relationship between the variables. A graph has time (hours) on the x-axis, and distance (miles) on the y-axis. A line increases to 2 hours, is constant through 3 hours, and then increases through 6 hours. a. You leave home and drive for 6 hours with no stops. b. You leave home, drive for 1 hours at a constant speed, stop for 30 minutes, continue at the same speed, stop for 1 hour and then continue at the same speed as before. c. You leave home, drive for 2 hours at a constant speed, and then stop for 1 hour. Finally you continue at a slower (but constant) speed than before. d. You leave home, drive for 3 hours at a constant speed, and then stop for 2 hours. Finally you continue at the same speed as before. Please select the best answer from the choices provided
An interpretation of the relationship between the variables in this graph is that: C. you leave home, drive for 2 hours at a constant speed, and then stop for 1 hour. Finally, you continue at a slower (but constant) speed than before.
What is a graph?A graph can be defined as a type of chart which is used to graphically represent the relationship between the variables in a data set, on both the horizontal and vertical lines of a cartesian coordinate i.e x-axis and y-axis.
By critically observing the graph attached in the image below, we can infer and logically deduce that an interpretation of the relationship between the variables in this graph is that you drove at a constant speed for 2 hours, and then stopped for 1 hour. Finally, you continued at a slower, but constant speed than before.
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A parallelogram has sides measuring 200mm by 150mm. what would be the length of side of a square having the same perimeter?
Answer:
175mmStep-by-step explanation:
To find the total perimeter of the parallelogram we must add 200+200+150+150
This equals 700. Then, since squares have side lengths that are all equal, we have to divide by 4.
700 / 4 = 175
So, the length of a side of a square having this perimeter would be 175mm
Hope this helps!
A line of best fit is f(x) ≈ −0.86x + 13.5 for the set of points in the table.
A 2-column table with 7 rows. The first column is labeled x with entries 2, 3, 5, 6, 7, 8, 9. The second column is labeled f(x) with entries 12, 10, 10, 8, 9, 5, 6.
Using the equation for the line of best fit, what is a good approximation for the value of the function, f(x), when x = 18?
−5
−2
3
12
The required value of function F(x), when x=18 is -2
A line of best fit is f(x) ≈ −0.86x + 13.5 for the set of points in the table
x = 2 3 5 6 7 8 9
F(x) = 21 10 10 8 9 5 6
What is line?
line, is curve showing the shortest distance between 2 points.
Now, putting x = 18 in f(x) ≈ −0.86x + 13.5
f(x) ≈ −0.86(18) + 13.5
= -1.98
≅ -2 (approximation)
Thus, the required values of x=18 in a line of best fit is -2.
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Which of the following is the graph of the inequality y-2>-2(x-1)?
A
B
C
(2.1)
(0, -3)
ACE
AD
(2.1)
(4,-1)
UN
(1.2)
(3,-2)
14TH
D
(1.2)
(3,-2)
The graph is shown in the attached image.
Simplify: (−12az2−2z3)+(−2a3+7a2z)−(−4a2z+8az2)
Answer:
[tex] \large{ \boxed{ \tt{ - 20a {z}^{2} - 2 {z}^{3} - 2 {a}^{3} + 11 {a}^{2} z }}}[/tex]
- Please see the attached picture for full solution!:)
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In a bag of 60 candies, 36 are green and 45 have caramel in them. If the events of
picking a green candy and picking a candy with caramel are independent, what
percent of the green candies have caramel in them?
Answer:
9/20
Step-by-step explanation:
Total number of candies =60
Number of Green candies, n(G)=36
Number of candies with caramel, n(C)=45
Since the events are independent, the probability of selecting two candies where the first is green and the second has caramel is given by:
P(GC)=P(G) X P(C)
\begin{gathered}=\dfrac{n(G)}{n(S)} X \dfrac{n(C)}{n(S)} \\=\dfrac{36}{60} X \dfrac{45}{60}\\ =\dfrac{9}{20}\end{gathered}=n(S)n(G)Xn(S)n(C)=6036X6045=209
The probability in its lowest form is 9/20.
f(x) = -3x³ + x² - 3, find f(1).
Answer:
Step-by-step explanation:
hello :
f(x) = -3x³ + x² - 3, find f(1).
f(1) = -3(1)³ +(1)² - 3=-3+1+3 = -5
From the diagram below, if AD = 5, and DB = 10, what is the length of CD?
Answer:
20
Step-by-step explanation:
According to Euclidian theorem:
h^2 = AD*CD (h is the height, DB in this case)
rewrite the equation by using given values
10^2 = 5*CD find the square value of 10
100 = 5*CD divide both sides by 5
20 = CD
Find a real number c such that the line cx-5y+8=0 has x-intercept 4
Using the x-intercept concept, the function has x-intercept of 4 when c = -2.
What are the x-intercepts of a function?The x-intercepts of a function are the values of x when y = 0.
In this problem, the function is:
cx - 5y + 8 = 0.
When y = 0, we have that:
cx + 8 = 0
x = 4, hence:
4c = -8
c = -2.
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Below are the weekly salaries, in dollars, of nine recent college graduates. Utilize the data to calculate the midrange.
833 692 1057 955 749 1113 857 946 907
The midrange of the weekly salaries is $902.50.
What is the midrange?Midrange is a measure of variation of a data set. Midrange is the mean of the lowest and highest salary.
Midrange + (lowest salary + highest salary) / 2
(692 + 1113) / 2 = $902.50
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I need help setting up my problem
The measure of angle A is 144.3 degrees and the angle to cut the molding is 54.3 degrees
How to solve for angle A?Start by solving the acute part of angle A using the following sine function
sin(Ax) = (30 - 4)/32
Evaluate the quotient
sin(Ax) = 0.8125
Take the arc sin of both sides
Ax = 54.3
The measure of angle A is then calculated as:
A = 90 + Ax
This gives
A = 90 + 54.3
Evaluate
A = 144.3
Hence, the measure of angle A is 144.3 degrees
The angle to cut the moldingIn (a), we have:
Ax = 54.3
This represents the angle where the molding would be cut
Hence, the angle to cut the molding is 54.3 degrees
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