Answer:
2.7 < x 12.3
Step-by-step explanation:
using triangle inequality theorem:
(3 scenarios, discount the one that produce a negative)
4.8 + 7.5 > x x < 12.3
4.8 + x > 7.5 x > 2.7
7.5 + x > 4.8 (discount)
24 in
45 in
What is the length of the hypotenuse?
Step-by-step explanation:
c²=24²+45²=2601
so c=51
I need someone to answer 30-35
Which set of ordered pairs (x,y)(x,y) could represent a linear function? \mathbf{A}= A= \,\,\left\{(2, 9),\,\,(4, 5),\,\,(6, 1),\,\,(7, -1)\right\} {(2,9),(4,5),(6,1),(7,−1)} \mathbf{B}= B= \,\,\left\{(-1, -8),\,\,(0, -3),\,\,(1, 3),\,\,(2, 8)\right\} {(−1,−8),(0,−3),(1,3),(2,8)} \mathbf{C}= C= \,\,\left\{(-9, 5),\,\,(-3, 3),\,\,(3, 0),\,\,(9, -2)\right\} {(−9,5),(−3,3),(3,0),(9,−2)} \mathbf{D}= D= \,\,\left\{(1, -8),\,\,(2, -6),\,\,(3, -3),\,\,(4, 0)\right\} {(1,−8),(2,−6),(3,−3),(4,0)}
Question:
Which set of ordered pairs (x,y) could represent a linear function?
[tex]\mathbf{A}= \,\,\left\{(2, 9),\,\,(4, 5),\,\,(6, 1),\,\,(7, -1)\right\}[/tex]
[tex]\mathbf{B}= \,\,\left\{(-1, -8),\,\,(0, -3),\,\,(1, 3),\,\,(2, 8)\right\}[/tex]
[tex]\mathbf{C}= \,\,\left\{(-9, 5),\,\,(-3, 3),\,\,(3, 0),\,\,(9, -2)\right\}[/tex]
[tex]\mathbf{D}= \,\,\left\{(1, -8),\,\,(2, -6),\,\,(3, -3),\,\,(4, 0)\right\}[/tex]
Answer:
[tex]\mathbf{A}= \,\,\left\{(2, 9),\,\,(4, 5),\,\,(6, 1),\,\,(7, -1)\right\}[/tex]
Step-by-step explanation:
Given
Ordered pairs A - D
Required
Which represents a linear function?
To do this, we simply calculate the slope (m) of each ordered pairs.
[tex]m = \frac{y_2 - y_1}{x_2-x_1}[/tex]
Considering A:
[tex]\mathbf{A}= \,\,\left\{(2, 9),\,\,(4, 5),\,\,(6, 1),\,\,(7, -1)\right\}[/tex]
Consider the following pairs
[tex](x_1,y_1) = (2,9)[/tex] and [tex](x_2,y_2) = (4,5)[/tex]
[tex]m = \frac{5 - 9}{4 -2} = \frac{-4}{2} = -2[/tex]
Consider the another pairs
[tex](x_1,y_1) = (2,9)[/tex] and [tex](x_2,y_2) = (6,1)[/tex]
[tex]m = \frac{1 - 9}{6 -2} = \frac{-8}{4} = -2[/tex]
Consider the another pairs
[tex](x_1,y_1) = (2,9)[/tex] and [tex](x_2,y_2) = (7,-1)[/tex]
[tex]m = \frac{-1 - 9}{7 -2} = \frac{-10}{5} = -2[/tex]
The slope is uniform all through.
i.e.
[tex]m = -2[/tex]
Hence, this can be a linear function
Considering B:
[tex]\mathbf{B}= \,\,\left\{(-1, -8),\,\,(0, -3),\,\,(1, 3),\,\,(2, 8)\right\}[/tex]
Consider the following pairs
[tex](x_1,y_1) = (-1,-8)[/tex] and [tex](x_2,y_2) = (0,-3)[/tex]
[tex]m = \frac{-3 - (-8)}{0 - (-1)} = \frac{-3 +8}{0 +1} = \frac{5}{1} = 5[/tex]
Consider the another pairs
[tex](x_1,y_1) = (-1,-8)[/tex] and [tex](x_2,y_2) = (1,3)[/tex]
[tex]m = \frac{3 - (-8)}{1 - (-1)} = \frac{3 +8}{1 +1} = \frac{11}{2} = 5.5[/tex]
The calculated slopes are not equal.
i.e.
[tex]m = 5[/tex] and [tex]m = 5.5[/tex]
Hence, this can't be a linear function
Considering C:
[tex]\mathbf{C}= \,\,\left\{(-9, 5),\,\,(-3, 3),\,\,(3, 0),\,\,(9, -2)\right\}[/tex]
Consider the following pairs
[tex](x_1,y_1) = (-9,5)[/tex] and [tex](x_2,y_2) = (-3,3)[/tex]
[tex]m=\frac{3-5}{-3-(-9)} = \frac{3-5}{-3+9} = \frac{-2}{6} = -\frac{1}{3}[/tex]
Consider the another pairs
[tex](x_1,y_1) = (-9,5)[/tex] and [tex](x_2,y_2) = (3,0)[/tex]
[tex]m=\frac{0-5}{3-(-9)} = \frac{0-5}{3+9} = \frac{-5}{12} = -\frac{5}{12}[/tex]
The calculated slopes are not equal.
i.e.
[tex]m = -\frac{5}{12}[/tex] and [tex]m = -\frac{1}{3}[/tex]
Hence, this can't be a linear function
Considering D:
[tex]\mathbf{D}= \,\,\left\{(1, -8),\,\,(2, -6),\,\,(3, -3),\,\,(4, 0)\right\}[/tex]
Consider the following pairs
[tex](x_1,y_1) = (1,-8)[/tex] and [tex](x_2,y_2) = (2,-6)[/tex]
[tex]m = \frac{-6 - (-8)}{2 - 1} = \frac{6 + 8}{1} = \frac{14}{1} = 14[/tex]
Consider the another pairs
[tex](x_1,y_1) = (1,-8)[/tex] and [tex](x_2,y_2) = (3,-3)[/tex]
[tex]m = \frac{3 - (-8)}{-3 - 1} = \frac{3 + 8}{-4} = \frac{11}{-4} = -\frac{11}{4}[/tex]
The calculated slopes are not equal.
i.e.
[tex]m = -\frac{11}{4}[/tex] and [tex]m = 14[/tex]
Hence, this can't be a linear function
From the calculations above:
Only (A) can be a linear function
Answer:
Step-by-step explanation:
Solve for x: 3x + 4 = 9x + 3
Answer:
Step-by-step explanation:
3x+4=9x+3, we will add and subtract the variable and the numbers so we have, x in one side and the numbers on the other side
4-3=9x-3x
1=6x
x=1/6
Answer:
x = 1/6
Step-by-step explanation:
1. Add and subtract the variable and the numbers.
So far: 4 - 3 = 9x - 3x
4 - 3 = 9x - 3x
2. Simplify.
4 - 3 = 1.
9x - 3x = 6x.
To do addition with variables, delete the variables, which now is 9 - 3, easy, 6, add the x back (only to the answer), so 6x.
Since 1 is on 1 part of the equal side, because 4 - 3 = 1.
And is 1 = 6x.
1/6 then is your final answer.
Kay works as a salesperson in a local department store. Kay earns a salary of $150.00 per
week plus a commission of 5% of the total sales.
Find Kay's total earning for a week when the store's total sales are $8.000.00.
A. $40,150.00
B. $4, 150.00
C. $550.00
D. $190.00
E. $407.50
Answer:
$550.00
Step-by-step explanation:
I just looked up what is 5℅ of 8,000.00 and added that to her weekly salary
Answer:
The answer would be 550$
Step-by-step explanation:
THIS IS SIMPLE INTEREST
Interest = $10
Principal = $250
Interest rate = 4%
Time = ?
Step-by-step explanation:
mmi got the answer .as : 1
time=1
5,0,-5,-10
Next three terms of the arithmetic sequence
8x^2-5x-4
can anyone solve this its a question on my homework?
Answer:
x = 1.09 , − 0.46
Step-by-step explanation:
→ Factorise 8x² - 5x - 4
Not possible by factorisation
→ Substitute values into quadratic formula
x = 1.09 , − 0.46
write the equation of the line that passes through the point (2,-3) and is perpendicular to the line y=-2x+3. And how do you find it?
Answer:
y=2x-7
Step-by-step explanation:
The easiest way to answer this would be by using the slope-intercept form equation, y=mx+b. In this case, we can use our given in information to plug in values and find the equation.
Firstly, let's assess what know and what we don't:
Given the point (2,-3), we know that x=2 and y=-3. Now the slope for a perpendicular line can be found using a negative reciprocal, since the product of the slopes of both lines should equal -1. Therefore the slope must be 2.
All that's left is b, the y-intercept. To solve for this, we simply plug in what we have.
y=mx+b
-3=2(2)+b
-3=4+b
-3-4=b
-7=b
Now that we have b, we can write the equation:
y=2x-7
The Green family is planning a one-week vacation in Florida and needs to rent a car while there.
Answer:
they need a stimlus check
Step-by-step explanation:
facts
PLEASE HELP!!!!!!!!!!
Answer:
a
Step-by-step explanation:
because add all then divied all the mutiply the too numbers
If I got a 43 out of 49 on my test what is the score
∠A=6x−35 ∘ start color #11accd, angle, A, end color #11accd, equals, start color #11accd, 6, x, minus, 35, degrees, end color #11accd \qquad \green{\angle B} = \green{3x +53^\circ}∠B=3x+53 ∘ start color #28ae7b, angle, B, end color #28ae7b, equals, start color #28ae7b, 3, x, plus, 53, degrees, end color #28ae7b Solve for xxx and then find the measure of \blueD{\angle A}∠Astart color #11accd, angle, A, end color #11accd:
The students in Natalie's grade voted to select a guest speaker. 80% of the students voted for a famous athlete. If there are 90 students in Natalie's grade, how many students voted for the athlete?
I need this ASAP Im giving a lot of point more than I should.
Answer:72 voted for athletes
Step-by-step explanation:
Answer:
asap???
Step-by-step explanation:
please help asap !!!
Answer:
The solution to the system of equation is (1,-4)
Step-by-step explanation:
Here, we want to find the solution to the system of equations
Since we have y in both places, we can equate the two
That would be;
-x-3 = -7x + 3
-x + 7x = 3 + 3
6x = 6
x = 6/6
x = 1
y = -x - 3
y = -1 -3
y = -4
So the solution to the system of equations is (1,-4)
A number tripled then increased by -2 is thirteen
pls I need the equation, not the answer
Answer:
3n - 2 = 13
Step-by-step explanation:
A number tripled would represent a number times 3, so it would be "3n"
If it is increased by -2, then you would be adding -2, or subtracting by 2
lastly, you put " = 13" because "is" in an equation also means "equals"
Solve: (4.5 x 10^4)/ (300)
Please and Thank you.
Answer:
150 plz brainliest
Step-by-step explanation:
10^4 = 10000
10000 (4.5) = 45,000
45,000/300 = 150
Danielle picks 744 apples at an apple orchard. She divides the apples equally into 40 baskets.
Part A
When dividing 744 ÷ 40, the first digit of the quotient will be in what place?
Hundreds
Tens
Ones
Thousands
Part B
How many apples will be in each basket? Enter your answer in the box.
apples=??
Part C
How many apples will be left? Enter your answer in the box.
apples=??
Answer:
Step-by-step explanation:
Part A
When dividing 744 ÷ 40, the first digit of the quotient will be in what place?
Hundreds ✔️
Tens ❌
Ones ❌
Thousands
Part B
How many apples will be in each basket? Enter your answer in the box.
Apple in each box = 186
Part C
How many apples will be left? Enter your answer in the box.
Apple will be left = 0
Please Tell If Wrong Because I used a piece of paper
There are 18 apples in each basket from the given situation.
Given that, Danielle picks 744 apples at an apple orchard. She divides the apples equally into 40 baskets.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Part A:
744 ÷ 40
40 | 744 | 18
40
_____
344
320
_____
24
The first digit of quotient 18 is in tens place.
Part B:
There are 18 apples in each basket.
Part C:
There are 24 apples will be left.
Therefore, there are 18 apples in each basket from the given situation.
To learn more about the unitary method visit:
brainly.com/question/22056199.
#SPJ2
what is the 16th term in a sequence 11, 0, -11, -22
Answer:
-154
Step-by-step explanation:
The formula for the sequence is: an = -11n + 22
If n equals 1 you get the first term, and so on.
For the 16th term n=16.
-11(16) + 22
-176 + 22
-154
5. MRS. SANTOS RECEIVED 7% COMMISSION AFTER SELLING A
PIECE OF PROPERTY WORTH PHP 850 000. HOW MUCH WAS
HER COMMISSION? helppppp me plssssssssss☹☹☹
Answer:
Mrs. Santos's commission was 59,500.
Step-by-step explanation:
850,000 * 7% = 59,500
The diagram shows ASTU. Which term describes point V?
A. Circumcenter
B. Orthocenter
C. Incenter
D. Centroid
Answer:
orthocenter
Step-by-step explanation:
I just did it
The term which describes the point V is Orthocenter, the correct option is B.
What is centroid of a triangle and its coordinates?
The point of intersection of a triangle's medians is its centroid (the lines joining each vertex with the midpoint of the opposite side).
If the triangle has its vertices as [tex](x_1, y_1), (x_2, y_2) , \: (x_3, y_3)[/tex], then the coordinates of the centroid of that triangle is given by:
[tex](x,y) = \left( \dfrac{x_1 + x_2 + x_3}{3} + \dfrac{y_1 + y_2 + y_3}{3} \right)[/tex]
We are given that;
The figure
Now,
We know that in a triangle, whenever a line that passes through a vertex of the triangle such that is perpendicular to the opposite side is called an altitude of the triangle;
So, the point where all the three altitudes of the triangle meets is called its orthocenter .
From the given figure , we can conclude that the point V is the intersecting points of all the altitudes of the triangle STU.
Therefore, by centroid concept the answer will be Orthocenter.
Learn more about centroid here:
https://brainly.com/question/7358842
#SPJ7
Why is it not possible to make a right triangle using lengths 20 feet, 40 feet, and 50 feet?
A. 20+ 40 is greater than 50
B. 50- 40 does not equal 20
C. 20 squared + 40 squared does not equal 50 squared
D. (20+40) squared is greater than 50 squared
Answer:
its actually joe to the we of the ner
Elsie bought a video game for $85.00. If the store charges 170% of it's cost for the game, how much is the store's profit?
Answer:
The stores profit is $59.50
Step-by-step explanation:
Answer:
It is?
Step-by-step explanation:
Banita has a piece of string that is One-tenth times 7 inches long. Which fraction is equal to the length of Banita’s string?
One-tenth inches
Six-tenths inches
Seven-tenths inches
Eight-tenths inches
Determine the smallest integer value of x in the solution of the following inequality.
- 3x + 10 < 5
Answer:
x > 5/3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define
-3x + 10 < 5
Step 2: Solve for x
Subtract 10 on both sides: -3x < -5Divide -3 on both sides: x > 5/3Here we see that any value x greater than 5/3 would work as a solution.
Please help! I dont understand how to solve this problem! please show work/ explain how to do this. :D
Answer:
1Step-by-step explanation:
[tex]\frac{\sqrt[3]{7}\sqrt{7} }{\sqrt[6]{7^{5} } } \\\\=\frac{7^{\frac{1}{3}+\frac{1}{2}}}{\sqrt[6]{7^5}}\\\\=\frac{7^{\frac{5}{6}}}{\sqrt[6]{7^5}}\\\\=\frac{7^{\frac{5}{6}}}{\left(7^5\right)^{\frac{1}{6}}}\\\\=\sqrt[6]{\frac{7^5}{7^5}}\\\\=\sqrt[6]{1}\\\\=1[/tex]
SIMPLIFYING ALGEBRAIC EXPRESSIONS
4(b-3s) use b = -8 and s = 3
Rick will participate in a walk–a–thon to raise money for charity. The amount he will raise based on the number of miles he walks is shown in the table, which represents a linear function.
Miles Walked Amount Raised ($)
2 220
5 460
8 700
11 940
Which of these statements are correct? Select all that apply.
For each mile that Rick walks, he will raise an additional $110.
For each mile that Rick walks, he will raise an additional $80.
If Rick walks 0 miles, he will raise $60.
If Rick walks 0 miles, he will raise $80.
If Rick walks 0 miles, he will raise $0.
For each mile that Rick walks, he will raise an additional $60.
Answer:
the first one is correct
Step-by-step explanation:
74% of the animals at an animal shelter are dogs. About what fraction of the animals at the shelter are dogs? and also what is the equivalent fraction to 74/100
Answer:
Thus, 37/50 is the equivalent fraction to 74/100.
Therefore, 37/50 of the animals in the shelter are dogs.
Step-by-step explanation:
Given
Given that 74% of the animals at an animal shelter are dogs.
To determine:
About what fraction of the animals at the shelter are dogs?
Using the equation to find a fraction equivalent to 74%
[tex]\:74\%=\:\frac{74}{100}[/tex]
Divide numerator and denominator by 2
[tex]=\frac{\frac{74}{2}}{\frac{100}{2}}\:\:[/tex]
Cancel the common factor 2.
[tex]=\frac{37}{50}[/tex]
Thus, 37/50 is the equivalent fraction to 74/100.
Therefore, 37/50 of the animals in the shelter are dogs.
Today the school's math club has $75 in its account. Yesterday the club members spent $27.75 on fees to enter a competition. The equation 75=a-27.7575=a−27.75 represents this situation. What does the variable : a represent in this situation?
Answer:
a represents the amount of money that the math club had yesterday in its account.
Step-by-step explanation:
the account currently has $75.Yesterday, they spent $27.75 in fee to enter a competition, so that means that before they paid the fees, the math club's account had $75 + $27.75 = $102.75