Answer:
y=1/4x+400
Step-by-step explanation:
Slope=Rise/Run=(300-200)/(-400-(-800))=100/400=1/4
Now we have the slope, making our equation:
y=1/4x+b
We need b, the y-intercept, which we can use any ordered pair to plug in:
200=1/4(-800)+b
200=-200+b
400=b
So the equation that passes through the points (-800, 200) and (-400, 300) is: y=1/4x+400
The equation of line that passes through the points P(-800, 200) and Q(-400, 300) is y = x/4 + 400.
What is the general equation of straight line?
The general equation of straight line is -
y = mx + c
Given is a line that passes through the points P(-800, 200) and
Q(-400, 300).
First we will find the slope of the line -
m = (y₂ - y₁)/(x₂ - x₁)
m = (300 - 200)/(-400 + 800)
m = 100/400
m = 1/4
Now, the line passes through the point Q(-400, 300). Therefore -
300 = (1/4) x (- 400) + c
300 = - 100 + c
c = 400
The final equation of the line will be -
y = x/4 + 400
Therefore, the equation of line that passes through the points P(-800, 200) and Q(-400, 300) is y = x/4 + 400.
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What is 2 times the difference of 73 and twice the sum of 9 and 4?
This results in a final answer of 94.
The question asks for the calculation of 2 times the difference of 73 and twice the sum of 9 and 4. Let's break it down step by step:
First, calculate the sum of 9 and 4, which is 9 + 4 = 13.Next, multiply this sum by 2 to get twice the sum, which results in 13 imes 2 = 26.The difference between 73 and the result from step 2 is 73 - 26 = 47.Finally, multiply that difference by 2 as per the question, giving us 47 imes 2 = 94.Therefore, 2 times the difference of 73 and twice the sum of 9 and 4 equals 94.
15 is 0.2% of what number? Please answer!
Answer:
7500
Step-by-step explanation:
0.2 x 7500 divided by 100 =15
enter the ratio on its simplest form 9/12
Answer: 3/4
Step-by-step explanation:
To take this ratio to its simplest form, we have to divide by a value divisible by the numerator and denominator.
3 is a divisible value, therefore,
9/12 = 9 ÷ 3 = 3
12 ÷ 3 = 4
Thus, 9/12 = 3/4
I hope this helps.
Order these numbers from least to greatest: 3.4 ,7 ,-3.5 ,-3
Answer: -3.5, -3, 3.4, 7
Step-by-step explanation: If you put it on a number line, this would be the order these integers go in!
susie is painting a wall that is 12 feet tall and 9 feet wide if each can of paint has enough paint to cover 8 square feet how many cans of paint will susie need to cover the whole wall
Answer:13.5
Step-by-step explanation:
x= 12*9/ 8
13.5 paints are needed bro
i hope you understand the ans
i didnt add statments
By applying formula of area of rectangle we got that if susie is painting a wall that is 12 feet tall and 9 feet wide if each can of paint has enough paint to cover 8 square feet then total 12 cans of paint will susie need to cover the whole wall
What is rectangle ?Rectangle is a regular quadrilateral with all angle equal to right angle.
Given that wall that is 12 feet tall and 9 feet wide
So area of rectangle = length[tex]\times[/tex]width
Area= [tex]12\times 8=96[/tex]
Given that each can of paint has enough paint to cover 8 square feet
Hence number of cans required = 96/8=12
By applying formula of area of rectangle we got that if susie is painting a wall that is 12 feet tall and 9 feet wide if each can of paint has enough paint to cover 8 square feet then total 12 cans of paint will susie need to cover the whole wall.
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Explain why receiving a 15% discount is the same as finding 85% percent of the original cost of an item. Then, explain how the mathematical properties and equivalent expressions helped them understand and solve the problem. Please answer!!
Answer:
15% discount means you're paying 85% of the marked price because total is 100% and 100-15 = 85%
Let X be the naked price
Paid = marked price - discount
Paid = X - (15/100 × X)
Using distribution property,
Paid = X(1 - 15/100)
Paid = X[(100-15)/100]
Paid = X(85/100)
Which is 85/100 × X
Hence 85% of X
Answer: 85% = 0.85
While 15% = 0.15
Step-by-step explanation:
Percentage is a fraction whose denominator is 100. So if we say 15%, we mean 15/100 = 0.15.
If want to find 15% of a 100, it means 15% of 100 = 15/100 × 100 = 15.
To find 85 % of 100 means 85/100 × 100= 85
hence subtraction of 15% from 100% is 85%
Therefore 15% = 15/100 = 0.15
While 85% is 85/100 = 0.85
Drag a statement or reason to each box to complete this proof. If −3(x+8)=−21, then x=−1.
Answer:
Yes, this is true.
Step-by-step explanation:
If you substitue x for -1 you get -3(-1+8)=-21, Then you add -1 and 8 so you should get 7. After, you multiply 7 times -3 you get -21. Proving this statement is correct.
Answer:
See below.
Step-by-step explanation:
We can solve for x:
−3(x+8) = −21
Distribute the -3 over the parentheses:
-3x - 24 = -21
Add 24 to both sides:
-3x -24 + 24 = -21 + 24
-3x = 3
Divide both sides by -3:
x = -1.
So that proves the original equation.
Question 1
Determine the midpoint of the segment with endpoint (-9,3) and (7,-8).
Question 2
Answer:
(-1, -2.5)
Step-by-step explanation:
the midpoint of a segment is [tex](\frac{x1+x2}{2} ,\frac{y1+y2}{2}[/tex][tex])[/tex], given points (x1, y1) and (x2, y2)
[tex]midpoint=(\frac{-9+7}{2}, \frac{3-8}{2} )[/tex] [tex]= (\frac{-2}{2}, \frac{-5}{2} ) = (-1, -2.5)[/tex]
Answer:
m (-1, -2.5)
Step-by-step explanation:
x1=-9 x2=7 y1= 3 y2=-8
-9+ 7 3+ -8
m= ------------ , -----------
2 2
m= -2/2, -5/2
m (-1, -2.5)
5(y+1)=30 solve for y
Answer:y=5
Step-by-step explanation:
5(y+1)=30
Divide both sides by 5
5(y+1)/5=30/5
We get y+1=6
Subtract 1 from both sides
y+1-1=6-1
We get y=5
Use substitution to find th
7) 4x – 2y = -22
-x+ y=3
Answer:
y = -5
Step-by-step explanation:
x= (-22+2y)/4 = -3+y
-22+2y = 4(-3+y)
-22+2y = -12+4y
-22+12 = 4y-2y
-10 = 2y
-10/2 = y
-5 = y
Answer:
x = -8
y = -5
Step-by-step explanation:
From the given expression, let's make two equations
4x - 2y = - 22--------------------------(i)
-x + y = 3-----------------------------(ii)
to easily substitute, lets make another equation from equation (ii)
y = 3 + x
substitute (y=3+x) in equation (i)
4x - 2 (x+3) = -22
4x - 2x - 6 = -22
2x - 6 = -22
2x = -22 + 6
2x = - 16
x = -16 / 2
x = - 8
lets solve for (y) by substituting (x = - 8) in equation (ii)
- (- 8) + y = 3
8 + y = 3
8 + y = 3
y = 3 - 8
y = - 5
Therefore:
x = - 8
y = - 5
PLEASE FIND ATTACHED FILE
Maths is fun, keep learning!
What is the equation of a circle with a center of (-2, -1) and radius of √2?
Answer:
(x + 2)² + (y + 1)² = 2
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius.
Here (h, k) = (- 2, - 1) and r = [tex]\sqrt{2}[/tex], thus
(x - (- 2))² + (y - (- 1))² = ([tex]\sqrt{2}[/tex] )², that is
(x + 2)² + (y + 1)² = 2 ← equation of circle
Answer: Answer is 2 can I get brainliest pls
Step-by-step explanation: Have a good one
Suppose 40 people come to your
party. If 15% of your guests arrive
early, how many people arrive early?
Step-by-step explanation:
15% as a decimal is 0.15
40*0.15 is 6
6 guests arrive early
6 people arrive early to the party.
Calculating the Number of People Who Arrive Early to a Party
To calculate the number of people who arrive early to a party where 40 people are expected, we use the given percentage of guests that arrive early, which in this case is 15%. The calculation process is straightforward:
Convert the percentage to a decimal by dividing by 100, which gives us 0.15.
Multiply the decimal by the total number of people expected at the party to find the number of people who arrive early.
So, the calculation is:
0.15 x 40 = 6
Therefore, 6 people arrive early to the party.
What is the measure of ∠P, to the nearest degree?
24°
42°
55°
101°
A scalene triangle P Q R. Side P Q is labeled as 5 feet. Side Q R is labeled as 10 feet. Side P R is labeled as 12 feet.
Answer:
55°
Step-by-step explanation:
use The Law of Cosines
cos p = (PR² + PQ² - QR²) / 2 x PR x PQ
= (144 + 25 - 100) / 120
= 69 / 120
=0.575
∠P = 55°
Answer:
55 degrees
Step-by-step explanation:
i took the test
Regina is tying a bow around a soccer ball to give to her sister. The ball has a radius of 4.5 inches. If the ribbon needs to be 10 inches longer than the circumference of the ball so she has enough room to tie a bow , how many inches of ribbon will she need?
The circumference of the soccer ball can be found using the formula for the circumference of a circle, to which 10 inches is then added to find the total length of the ribbon Regina needs.
Explanation:The problem involves understanding the mathematical concept of circumference. The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle. In this case, the soccer ball has a radius of 4.5 inches. Therefore, the circumference of the soccer ball would be C = 2π(4.5) inches.
Then, the problem states that the ribbon needs to be 10 inches longer than the circumference of the ball. So the total length of the ribbon that Regina needs is C + 10 inches. By substituting the values, we get the length of the ribbon needed.
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the difference between a number and 8 is more than 4
Answer:
x= 13, 14, 15
Step-by-step explanation:
x-8 > 4
+8 +8
x > 12
13
14
15
PLZ HELP!!!!!!!! due in 30 minutes im timed!
Answer:
For x=20: difference is 22
Step-by-step explanation:
For f: y increased 5 units (from 1 to 6) when x went from 0 to 10. Being linear, when x=20, f will increase with another 5 units, being 6+5=11.
For g: g(20)=1.5×20+3=33
So, for x=20, f(20)-g(20)=11-33=-22
So the difference is 22.
Prove algebraically what type of function this is (even, odd, or neither).
The given function is even.
Solution:
Given function:
[tex]f(x)=x^{6}-x^{4}[/tex]
If f(-x) = -f(x), then the function is odd.
If f(-x) = f(x), then the function is even.
[tex]f(x)=x^{6}-x^{4}[/tex]
Substitute x = -x
[tex]f(-x)=(-x)^{6}-(-x)^{4}[/tex]
[tex]=x^{6}-x^{4}[/tex]
= f(x) (given)
f(-x) = f(x)
From the definition, it is even.
Hence the given function is even.
What is the slope indicated
in the table below
X 0 1 2 3
Y 0 5 10 15
Answer:
5
Step-by-step explanation:
1. Identify the changes (Δ) in each consecutive pair of x-values and y-values
The changes in x (Δx) are 1, 1, and 1. The changes in y (Δy) are 5, 5, and 5.
2. Calculate the corresponding values of Δy/Δx
In each case, Δy/Δx = 5.
The slope is 5.
I have organized the calculations in the table below.
[tex]\begin{array}{cc|cc|c}\mathbf{x} & \mathbf{\Delta x} & \mathbf{y} & \mathbf{\Delta y} & \mathbf{\Delta y/ \Delta x} \\0 & & 0 & & \\ & 1 & & 5 & \mathbf{5} \\1 & & 5 & & \\ & 1 & & 5 & \mathbf{5} \\2 & & 10 & & \\ & 1 & & 5 & \mathbf{5} \\3 & & 15 & & \\\end{array}[/tex]
the perimeter of an equilateral triangle is givn as 15x+30. write two different expressions to represent the perimeter. use factoring to write one of the expressions
Answer:
15x+30 ; 15(x+2)
Step-by-step explanation:
You can write it as it is:
15x+30
OR
15(x+2)
In any given year, a factory has a 20% probability of having an accident. About every how many years might the factory expect to have an accident?
Every 1 year
Every 2 years
Every 5 years
Every 20 years
Answer:
Probability of having an accident = 20% o 0.2
Thus,
Expected number of years = 1/probability of accident = 1/0.2 = 5
Hence,
3. Every 5 years is the correct option.
Step-by-step explanation:
The factory will expect to have an accident every 5 years.
The probability of having an accident in the factory = 20% = 20/100 = 0.2
It should be noted that the highest likelihood for an event happening is 100% which is represented by 1.
Therefore, the number of years that the factory expect to have an accident will be:
= 1 / probability of having an accident
= 1/0.2
= 5 years
In conclusion, the factory will expect an accident every 5th year.
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Solve for x. Write the smaller solution first, and the larger solution second. (3x -6)(-x +3)=0(3x−6)(−x+3)=0
x= 2,3
hope that helped
x^3 - (3 + x)^2x x=4
Answer: IM NOT GOING TO ANSWER YOUR QUESTION DUDE LEARN FROM YOUR TEACHER STOP CHEATING CLEARLY YOUR NOT SMART AND YOUR GOING TO FAIL YOU MATH CLASS AND EVERY OTHER SUBJECT HAHAHAHAHAHAHAHAHHAHAHAHHAHAHAHAH
Decide if each sample is random. Explain why or why not.
a. Asking every 15th person on the school roster if they buy lunch in the cafeteria or bring lunch from
home.
b. Measuring the height of all the sunflowers to find the mean height of all the flowers in a garden.
Answer:
a- no they are polling
b-yes there is no point
Step-by-step explanation:
where does the line y= -3x+7 cross the y-axis
Answer:
(0, 7 )
Step-by-step explanation:
Where the line crosses the y- axis the x- coordinate of the point is zero.
Substitute x = 0 into the equation and evaluate for y
y = - 3(0) + 7 = 0 + 7 = 7 ⇒ (0, 7 )
10-ounce package of cashews costs $8.11, and a 16-ounce package of cashews costs $12.
a. What is the cost per ounce for the 10-ounce package of cashews?
b. What is the cost per ounce for the 16-ounce package of cashews?
c. Which package is the better buy?
a. $0.811
b. $0.75
c. 10-ounce package of cashews costs $8.11 is better then a 16-ounce package of cashews costs $12
Step-by-step explanation:
Here we have , 10-ounce package of cashews costs $8.11, and a 16-ounce package of cashews costs $12.
a. What is the cost per ounce for the 10-ounce package of cashews?
cost per ounce for the 10-ounce package of cashews = [tex]\frac{8.11}{10}[/tex]
cost per ounce for the 10-ounce package of cashews = $[tex]0.811[/tex]
b. What is the cost per ounce for the 16-ounce package of cashews?
cost per ounce for the 16-ounce package of cashews = [tex]\frac{12}{16}[/tex]
cost per ounce for the 16-ounce package of cashews = $[tex]0.75[/tex]
c. Which package is the better buy?
10-ounce package of cashews costs $8.11 is better then a 16-ounce package of cashews costs $12 , because cost per ounce for the 10-ounce package of cashews = $[tex]0.811[/tex] is greater then cost per ounce for the 16-ounce package of cashews = $[tex]0.75[/tex]
The cost per ounce for the 10-ounce package of cashews is $0.811, and the cost per ounce for the 16-ounce package is $0.75. The 16-ounce package is the better buy.
Explanation:a. To find the cost per ounce for the 10-ounce package of cashews, we divide the total cost by the number of ounces. $8.11 ÷ 10 ounces = $0.811 per ounce.
b. To find the cost per ounce for the 16-ounce package of cashews, we divide the total cost by the number of ounces. $12 ÷ 16 ounces = $0.75 per ounce.
c. The better buy is the package with the lower cost per ounce. Therefore, the 16-ounce package of cashews is the better buy.
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Quadrilateral ABCD is inscribed in this
circle.
What is the measure of angle A?
Enter your answer in the box.
The measure of angle A is 88°.
Solution:
Given data:
∠A = (2x – 40)°, m∠B = 116° and ∠D = x°
A quadrilateral inscribed in a circle is called cyclic quadrilateral.
∠B and ∠D are opposite angles in a cyclic quadrilateral.
In cyclic quadrilateral, opposite angles are supplementary.
⇒ m∠B+ m∠D = 180°
⇒ 116° + x = 180 °
Subtract 116° from both sides of the equation, we get
⇒ x = 64 °
To find the measure of angle A:
m∠A = (2x – 40)°
= 2(64°) – 40°
m∠A = 88°
Hence the measure of angle A is 88°.
Write a situation that could be represented by the algebraic expression 3s + 2.15.
The algebraic expression '3s + 2.15' can represent a real-life situation where you're shopping for food. If sandwiches cost $3 each and a soda costs $2.15, the total you'd spend on 's' sandwiches and one soda is 3s + 2.15 dollars.
Explanation:Here is a scenario that could represent the expression 3s + 2.15: Imagine you're in a store and each sandwich costs $3.00. You're planning to buy 's' number of sandwiches. Now, let's say you also want to buy a soda which costs $2.15. The total cost you will spend in the store would be the cost of the 's' sandwiches plus the cost of the soda, which can be represented by the expression 3s + 2.15. So if you bought 2 sandwiches, the total cost would be 3*2 (for the sandwiches) + 2.15 (for the soda) = $8.15.
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Solve 4^x + 3 = 9 for x using the change of base formula log base b of y equals log y over log b. A)4.585 B)3.578 C)−1.415 D)−2.422
Answer:
the answer is C) -1.415
Step-by-step explanation:
Just did the test and plugged it into desmos this is the closest answer
Answer:
the answer is -1.415
Step-by-step explanation:
Just finished the test and the correct answer is -1.415
3. Select True or False for each statement about the function y = -9x - 4.
A. The coefficent of x2 is 1.
B. The graph of the function opens up.
000001
tooooo
C. The graph of the function is not a straight line.
D. For positive values of x, as x increases the function decreases,
E. The function does not contain the origin.
Answer: Teacher graded mine and it was: false, true, true, false, true
Step-by-step explanation:
What are the coordinates for the vertices of the figure? *show your work*
The coordinates for the shape are;
a = (0, 0), b = (a, 0), c = (a, a), and d = (0, a).
Step-by-step explanation:
Step 1:
First, we must assign letters to the four vertices of the given shape.
Assume the lower-left vertex is a, the lower-right vertex is b, the upper-right vertex is c and the upper-left vertex is d.
So the vertices for the shape are a, b, c, and d.
Step 2:
The coordinates for a point on a graph is given by (x coordinate, y coordinate).
So we need to determine the x and y coordinates for the four points on the shape abcd.
Step 3;
The x coordinate for vertex a = 0, the y coordinate for vertex a = 0,
so the coordinates of vertex a = (0, 0).
The x coordinate for vertex b = a - 0 = a, the y coordinate for vertex b = 0,
so the coordinates of vertex b = (a, 0).
The x coordinate for vertex c = a- 0 =a, the y coordinate for vertex c = a- 0= a, so the coordinates of vertex c = (a, a).
The x coordinate for vertex d = 0, the y coordinate for vertex d = a - 0 =a,
so the coordinates of vertex d = (0, a).