=============================================
Explanation:
The dot plot indicates we have this data set: {20, 23, 25, 28}
Add up those values to get 20+23+25+28 = 96
Then divide by 4 since there are 4 values being added up here
96/4 = 24
So the arithmetic mean is 24.
Question: How many solutions: x + 2y = 6 and 2x − 3y = 26
Answers/Answers to choose from:
One-Solution
Infinitely Many Solutions
Or No Solution
(Basically does the question have only one solution, infinitely many solutions, or does it have no solution) Please don't guess
Answer:
one-solution
Step-by-step explanation:
(x + 2y = 6)2
2x - 3y = 26
2x + 4y = 12
2x - 3y = 26
7y = -14
y = -2
x + 2(-2) = 6
x + -4 = 6
x = 10
Answer:
One-SolutionStep-by-step explanation:
It is two lines, if they intersect there is one solution, if parallel- no solution, if same lines- infinitely many solutions
Lets put them in slope-intercept form and compare:
x + 2y = 6 ⇒ 2y = -x + 6 ⇒ y = -1/2x + 32x - 3y = 26 ⇒ 3y = 2x - 26 ⇒ y = 2/3x - 26/3As we see the lines have different slopes, so they intersect which means one solution only.
Identify the slope in the equation y=-7/3x +5 5 -5 7/3 -7/3
Answer:
-7/3
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
y = -7/3x + 5
Step 2: Break Function
Identify Parts
Slope m = -7/3
y-intercept b = 5
HELP PLEASE I WILL MARK BRAINLIEST IF RIGHT ANSWER!!
Answer:
Its XYW is half of LXYZ
Step-by-step explanation:
.
Answer:
this is the required solution
Which set of ordered pairs represents a function?
( Please help me with this as soon as possible )
Answer:
B
Step-by-step explanation:
i did the same test
Hi. I need help with this question (see image). Please show workings.
Answer:
[tex]\frac{dy}{dx}[/tex] = 8(2x + 3)³
Step-by-step explanation:
Differentiate using the chain rule
Given
y = f(g(x)) , then
[tex]\frac{dy}{dx}[/tex] = f'(g(x)) × g'(x)
Here
f(x) = [tex](2x+3)^{4}[/tex] ⇒ f'(x) = 4(2x + 3)³
g(x) = 2x + 3 ⇒ g'(x) = 2
Thus
[tex]\frac{dy}{dx}[/tex] = 4(2x + 3)³ × 2
= 8(2x + 3)³
The coordinates of three vertices of a square A (-2 1/2 , 1 1/2), B (-2 1/2 -3), and C (2,1 1/2 when point D is placed on this square what will the perimeter of the square be?
Answer:
The perimeter of square will be 18 units
Step-by-step explanation:
We are given that the coordinates of three vertices of a square A (-2 1/2 , 1 1/2), B (-2 1/2 -3), and C (2,1 1/2 )
When point D is placed on this perimeter.
We have to find the perimeter of the square.
First we have to find the side of square by using the distance formula
Distance formula
[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Coordinates of A=(-5/2,3/2)
Coordinates of B=(-5/2,-3)
Length of side AB=[tex]\sqrt{(-5/2+5/2)^2+(-3-3/2)^2}[/tex]
Length of side AB=[tex]\sqrt{0+(-9/2)^2}[/tex]
Length of side AB=9/2 units
Now, the perimeter of square=4 (side)
Using the formula
Perimeter of square=4(9/2)=18 units
Pls help and SHOW WORKINGS it due asap.
Answer:
C
Step-by-step explanation:
The x coordinate of the rest stop:
1/2 × (the sum of the x coordinates of the highschool and the stadium)
= 1/2 × (3+7)
= 1/2 × 10
= 5
The y coordinate of the rest stop:
- Same thing i did for the x coordinate, but use the y coordinates.
1/2 × (the sum of the y coordinates of the highschool and the stadium)
= 1/2 × (4 + 1)
= 1/2 × 5
=5/2
So the coordinate of the rest stop would be (5, 5/2).
Next for the distance, i used the pythagoras theory so it's like this:
a^2 + b^2 = c^2
Here you plot the highschool and the stadium on the coodinate plane, then connect the two dots to make a right triangle. The height of the triangle will be 3, and the base would be 4. So a=3, b=4 in the equation.
3^2 + 4^2 = c^2
9 + 16 + c^2
25 + c^2
c = 5
(Note that this isn't the real answer cuz at the end of the question it said that one UNIT equals 6.4 MILES.)
So the final answer is 5 × 6.4, which is 32. The answer is C.
What is the solution to this equation?
X/5 = 25
A. x = 20
B. x= 125
C. x = 5
D. x= 30
Answer:
A. x=20
Step-by-step explanation:
Lin and Elena have discovered they have so much in common. They each have a fish tank holding 20 units of water. Whose tank holds 20 gallons, and whose holds 20 cups?
Answer: a. Lin's tank hold 20 cups and Elena's tank hold 20 gallons; I know this because gallons are greater than cups.
Step-by-step explanation:
Gallons are greater than cups so the fish tank that will hold 20 gallons would have to be the bigger one which in this case is Elena's.
With cups being lesser in quantity than gallons, the fish tank that will hold 20 cups of water will definitely have to be the smaller one which in the case is Lina's.
the formula for the sum of the degree measures of the interior angles of a polygon is S=180(n-2) Solve for ,n, the number of sides of the polygon, in terms of S
NEED STEP BY STEP EXPLANATION
Answer:
n = (S + 360)/180Step-by-step explanation:
Given formula:
S = 180(n - 2)Solving for n:
S = 180(n - 2) ⇒ open parenthesisS = 180n - 360 ⇒ isolate n180n = S + 360 ⇒ divide both sides by 180n = (S + 360)/180[tex]S = 180(n - 2) \\ S = 180n - 360 \\ 180n =( S + 360) \\ n = \frac{(S+ 360)}{180} [/tex]
where, n =number of sides of polygon
S =sum of the degree measures of the interior angles of the polygon
when f(n) =12, what is rhe value of n
Answer:
When f(n) = 12, what is the value of n? Answer: n=5
Step-by-step explanation:
plss help
7. (a) how many 3-digit positive numbers are there?
(b) how many 4-digit positive numbers are there?
Answer:
a) 900
b) 9,000
Step-by-step explanation:
Answer:
Step-by-step explanation:
A. a=100. an=999
an=a+n-1.d
Therefore answer will be 900.
B. 9000.
Please help me with the questions please
Answer:
50,373 feet
Step-by-step explanation:
tan 15° = 13500 / x
.268 = 13500 / x
x = 50,373
Coffee costs $1.75 a pound. How much would 3.2 pounds of coffee cost?
Answer:
$5.60
Step-by-step explanation:
So each pound equals to $1.75 which means that we need to multiply by 3.2 because we're trying to find the number of money we'll spend on a certain amount of coffee. So if we multiply, we get 5.6. Though in context with the problem, it should be $5.60.
Mrs. Carter needs 1/2 meter of cloth to make a pillowcase. How many pillowcases can she make with 5 meters of cloth?
2/3x+1=1/6x-7
What the answer solve for 15 points !!
Answer:
The value of x is -16.
Step-by-step explanation:
☆Let's solve!
[tex] \: \: \: \: \: \: \: \: \: \: \frac{2}{3} x + 1 = \frac{1}{6} x - 7 \\ \frac{ - \frac{1}{6}x \: \: \: \: \: \: \: \: \: = - \frac{1}6{x} }{ \frac{1}{2}x + 1 = - 7} \\ \: \: \: \: \: \frac{ - 1 = - 1}{ \frac{ \frac{1}{2} x}{ \frac{1}{2} } = \frac{ - 8}{ \frac{1}{2} } } \\ x = - 16[/tex]
Tara plans to rent a car for the weekend. The cost is $45 plus $0.15 for each mile she drives. Write an equation that represents this situation and describe the variables.
Answer:
y = 45 + 0.15x
Step-by-step explanation:
$45 is the initial cost
0.15 is the cost for each mile
we dont know the miles so miles is x, unknown
Locate and label (4,5) and (4, -3), Draw the line segment between
the end points given on the coordinate plane. How long is the line
segment that you drew? Explain.
Given:
The two endpoints are (4,5) and (4,-3).
To find:
The line segment between the given endpoints and the length of the line segment.
Solution:
Plot the given point and connect them by and straight line segment as shown in the below graph.
The distance between (4,5) and (4,-3) is
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]d=\sqrt{(4-4)^2+(-3-5)^2}[/tex]
[tex]d=\sqrt{(0)^2+(-8)^2}[/tex]
[tex]d=\sqrt{0+64}[/tex]
[tex]d=\sqrt{64}[/tex]
[tex]d=8[/tex]
Therefore, the length of the line segment is 8 units.
y = -x +2
7x + 4y = -1
What is the value of y for the solution to this system of equations?
Answer:
Hi! The correct answer is y = 5
Step-by-step explanation:
~Solve for the first variable in one of the equations, then substitute the result into the other equation~
Solve the equation 0.3 3=n
n=_____
Which is fraction is less 1/5 4/5?
Answer:
1/5
Step-by-step explanation:
Look at it this way; 1/5th of a pizza. Five parts of a pizza, you only have one. But 4/5? You have four slices of the pizza! Much more! Yum.
Answer:
1/5<4/5
Step-by-step explanation:
PLLLZZZZZZ HELPPPP FASTTTTTT
Answer:
I think it's the y-function. Are there any choices to choose from?
Step-by-step explanation:
Answer:
They increase at the same rate
Step-by-step explanation:
If you look at linear function p, the equation is y=3x-6
4. Chrissy had 4 gallons of gas in her tank when she arrived at the
gas station. She pumped gas into her car at a rate of 0.3 gallon per
second. How many gallons of gas were in the tank after s seconds?
Please help!!
Each pair of polygons is similar. Find the value of x.
Answer in fraction form: x = 55/4
Answer in decimal form: x = 13.75
Both forms are equivalent, but they say it in a slightly different way.
===========================================================
Work Shown:
AC/QY = CD/YW
(x+5)/15 = 5/4
4(x+5) = 15*5
4x+20 = 75
4x = 75-20
4x = 55
x = 55/4
x = 13.75
------------
Explanations:
The first step is possible because the polygons are similar. Similar figures have their corresponding sides be in the same proportion or ratio. Note how side AC has the double red angle (at point A) and a single red angle (point C). The side QY has the same idea in the same order. This is why AC corresponds to QY. The ratio AC/QY is the same as CD/YW.In the second step, I plugged in the expressions that the diagram shows. This is the substitution property.On step 3, I cross multiplied. The general format is A/B = C/D cross multiplies to A*D = B*C.#5) What is the slope of the line that passes through the points (6, -8) and (4,10)?
A)1/3
B)-1/9
C) - 9
D) -1
Multiple Choice
1. Which of the following is the correct form of the distance formula? (1 point)
d=(33 – x;) +(12 – Y;)
mm 2 m ( 20 COO
a = √(x - 2)² + (x2 - y2)
= V(x2 – xz)-(-y)
a = √(x2-x;)²-(32-33)
d =
2. Use the distance formula to find the distance between the points (-3.8) and (-4. -
the nearest hundredth, if necessary.
Answer:
1. The formula used to the find distance formula is: [tex]Distance\:Formula=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
2. The distance between the points (-3,8) and (-4, -2) is 10.04
Step-by-step explanation:
1. Which of the following is the correct form of the distance formula?
The formula used to the find distance formula is: [tex]Distance\:Formula=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
2. Use the distance formula to find the distance between the points (-3.8) and (-4. -?)
Note: Since the y-term in (-4,-) is missing So, I am using -2 to solve the question and find distance. You can use the term given in question and replace it with -2 and use this solution as reference to solve and find the correct answer.
We have points (-3,8) and (-4,-2)
Putting values in distance formula and finding result:
[tex]Distance\:Formula=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We have x_1=-3, y_1=8, x_2=-4, y_2=-2
[tex]Distance=\sqrt{(-2-(-3))^2+(-2-8)^2}\\Distance=\sqrt{(-2+3)^2+(-2-8)^2}\\Distance=\sqrt{(1)^2+(-10)^2}\\Distance=\sqrt{1+100}\\Distance=\sqrt{101}\\Distance=10.04[/tex]
So, the distance between the points (-3,8) and (-4, -2) is 10.04
There are 131 students at a small school and 35 of them are freshmen. What fraction of the students are freshmen?
Answer:
35/131
Step-by-step explanation:
Since 35 out of 131 students are freshmen, the fraction would be:
35/131
I hope this helps! :)
The fraction of the students are freshmen will be 35 / 131.
What is a fraction number?A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of numerator and denominator.
There are 131 students at a small school, and 35 of them are freshmen.
Then the fraction of the students are freshmen will be
⇒ 35 / 131
More about the fraction number link is given below.
https://brainly.com/question/78672
#SPJ2
please help me please
Answer:
change/original price X 100
22/88 X 100 = 25%
The seventh grade band has 15 drummers and 12 trumpet players. The eighth grade band band has 10 drummers and 8 trumpet players. Do the ratios form a proportion
-5 = -3(x + 11) HELPP
Answer: x=9 1/3
Step-by-step explanation:
-5=-3x-33
-5+33=-3x
28=-3x
3x=-28
x=28/3
x=9 1/3
Answer: X=-28/3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−5=−3(x+11)
−5=(−3)(x)+(−3)(11)(Distribute)
−5=−3x+−33
−5=−3x−33
Step 2: Flip the equation.
−3x−33=−5
Step 3: Add 33 to both sides.
−3x−33+33=−5+33
−3x=28
Step 4: Divide both sides by -3.
-3x/-3= 28/-3
X=-28/3
have a nice day :)