Answer:
[tex]y<-2x+6[/tex]
Step-by-step explanation:
The boundary line of a linear inequality passes through the points (3, 0) and (0, 6).
The points (3, 0) and (2, 6) are not solutions of the inequality.
We want to find the equation of the linear inequality.
First, we will simply find the line that crosses the points (3, 0) and (0, 6).
We can determine the slope to be:
[tex]\displaystyle \frac{6-0}{0-3}=\frac{6}{-3}=-2[/tex]
Notice that (0, 6) is the y-intercept.
Then by the slope-intercept form:
[tex]y=mx+b[/tex]
Our equation will be:
[tex]y=-2x+6[/tex]
Now, we will need to determine our inequality sign.
First, (3,0) is on the boundary line yet it is not a solution. Therefore, our line is dotted. That is: we do not have the "or equal to" statement.
So, our inequality signs can only be either < or >.
We are given that (2, 6) is not a solution.
So, we can test for the sign. Substitute 2 for x and 6 for y:
[tex]\displaystyle 6\text{ }?\text{ }-2(2)+6[/tex]
Evaluate:
[tex]\displaystyle 6\text{ } ?\text{ } 2[/tex]
Since 6 is not a solution, the above statement needs to be false.
It will be false is the sign is <, since 2 is not greater than 6.
Therefore, our sign is <.
And our inequality is:
[tex]y<-2x+6[/tex]
Pleaseee helppp answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Answer:
(2, -12)
Step-by-step explanation:
Answer:
(2, -12)
Step-by-step explanation:
(x, y ) = (0, -8)
2 units right = +2 units to the x-coordinate
4 units down = -4 from the y-coordinate
(0+2, -8-4)
= (2, -12)
A $830 iphone has a 20%
discount. The tax rate is 7.5%.
What is the final price of the
phone including tax?
Answer:
$614.2
Step-by-step explanation:
Um I just calculated it. I'm in Algebra 2 so it's light work
PSLS S S S S S S S s s s. Ss s s s s
Answer:
80
Step-by-step explanation:
5x2x8=80
Answer:
volume= 8*2*5
=80cube
What is the measure of the indicated angle ?
Answer: this is easy put attention to your teacher
Step-by-step explanation:
everything is above
Answer:
at week 5 the higth is 6.5
Step-by-step explanation:
Max completed 140 questions on DFM last week.
This week, Max completed 182 questions.
Find the percentage increase.
Answer:
30%
Step-by-step explanation:
182-140=42(increase)
increase ÷ original × 100 %
= 42÷140×100%
=30%
The percentage increase from the old number to new number is 30 percent.
Given that, Max completed 140 questions on DFM last week. This week, Max completed 182 questions.
We know that, percentage increase = (New Number - Original Number)/Original Number ×100
= (182-140)/140 ×100
= 42/140 ×100
= 4200/140
= 30%
Therefore, the percentage increase is 30 percent.
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387.4 rounded to the nearest tenth
Answer:
387.4 is the answer
Step-by-step explanation:
hope this helps=)
Answer:
387.4 rounded to the nearest tenth is 387 because if it's 4 and below you'll get the ones place the same. And if it's 5 and over, the ones place will go up...
Solve the inequality by stating the solution and graphing it.
3 – 5x < -4x + 9
Answer:
x>-6
graphing (-6,0)
Step-by-step explanation:
3-5x<-4x+9-- Add 5x to -4x
3<x+9--- subtract 9 from both sides
-6<x
Find x in triangle ABC using geometric means.
Given:
The figure of a right angle triangle.
To find:
The value of x using geometric mean.
Solution:
According to the geometric mean altitude theorem, if an altitude h divides the hypotenuse in two parts a and b, then
[tex]\dfrac{a}{h}=\dfrac{h}{b}[/tex]
Let attitude from A touches the hypotenuse at point D.
Using this in the given triangle, we get
[tex]\dfrac{BD}{AD}=\dfrac{AD}{CD}[/tex]
[tex]\dfrac{12}{x}=\dfrac{x}{3}[/tex]
[tex]12\times 3=x^2[/tex]
[tex]36=x^2[/tex]
Taking square root on both sides, we get
[tex]\pm \sqrt{36}=x[/tex]
[tex]\pm 6=x[/tex]
Side cannot be negative. Therefore, the only value of x is 6.
How many different ways can you have 50¢ in change using only quarters, dimes and nickels?
A. 1
B. 4
C. 10
D. 15
PLZ help!
Answer:
Answer vary :
C. 10
Step-by-step explanation:
at least in my opinion I think so.
Answer:
C i think
you can you use 10 nickels
what is the missing variable
Answer: x= 18
Step-by-step explanation: these are corresponding angles which means they are equal.
(4x-7) = (7x-61)
-7 = 3x -61
54 = 3x
18 = x
TOPIC: You and two friends have $20 to spend on snacks after school.
Explain how you would divide the money between the three of you.
Explain where you would go and what you would buy with your money.
Simply (square root) 36x^3
4. You buy a video game and pay for it with a $50 bil. Write an expression that can be used to find out how much change you shoud receive.
Answer:
[tex]\boxed{\textsf {\textbf{The amount returned by the shopkeeper is \$ 50 - x .}}}[/tex]
Step-by-step explanation:
Given that I buy a video game and pay $ 50 to the shopkeeper . And we need to find the expression how much change should I receive .
So , let us take that the video game costs x . There can be two cases .
★ Case 1 :-
When the cost of the product is same as the amount given . When the cost of the video game is $50 then the shopkeeper will give us no change .
[tex]\boxed{\red{\sf Returned\ change = \$ 0 }}[/tex]
[tex]\rule{200}2[/tex]
★ Case 2 :-
When the cost of the video game is less than $50 then the shopkeeper will return us some change that is equal to the difference if the amount given to shopkeeper and the cost of the video game .
If the cost of the video game is x , then the amount given to us by the the shopkeeper will be ,
[tex]\boxed{\red{\sf Returned\ change = \$ 50 - x }}[/tex]
PLS HELP ILL GIVE BRAINLIEST!!
Answer:
y = -7/2x - 7
Step-by-step explanation:
let me know if you need the steps . . .
The sum of two numbers is 30 and their difference is 4. Find the numbers
Answer:
17 and 13
Step-by-step explanation:
So you can set up an equation:
let x be the greater number
this means that the smaller number would be 4 less than x, because their difference is 4, so x - 4.
The sum is 30, so x + (x - 4) = 30
Then, solve:
x + (x - 4) = 30
x + x - 4 = 30
combine like terms
2x - 4 = 30
add 4 to both sides
2x = 34
divide both sides by 2
x= 17
Now you know the greater number is 17. Since they have a difference of 4, you can do 17 - 4 = 13 to get the smaller number.
The numbers are 17 and 13
Solve equation 3(x+5)=36
Answer:
x = 7
Step-by-step explanation:
Answer:
x=7
Step-by-step explanation:
3x+15=36
-15 -15
3x=21
x=7
1) A craftsman makes 40 items in 8 hours. How many
hours will he take to make 75 items?
Answer:
15 hours
Step-by-step explanation:
40/8 = 75/x
40x = 600
x = 15
Answer:
About 15
Step-by-step explanation:
40 items/8 hours = 5 items per hour( his rate)
75 items/ 5 items per hour= 15 hours
At his rate it will take him about 15 hours to make 75 items
Need help will give thanks and brainliest
Answer:
[tex]y=\frac{2}{3} x-1[/tex]
Step-by-step explanation:
Linear equations are typically organized in slope-intercept form:
[tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept (the value of y when the line intercepts the y-axis)
1) Find the slope of the line (m)
The equation for slope: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] when the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the given points (3,1) and (6,3)
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]=\frac{3-1}{6-3}\\=\frac{2}{3}[/tex]
Now, plugging this back into [tex]y=mx+b[/tex], our equation looks like this:
[tex]y=\frac{2}{3} x+b[/tex]
2) Find the y-intercept of the line
To find the y-intercept, we take the equation that we have so far and plug in any given point to solve for b. For example, we can use the point (3,1):
[tex]1=\frac{2}{3}*3+b\\1=2+b[/tex]
Subtract both sides by 2 to isolate b
[tex]1-2=2+b-2\\-1=b[/tex]
3) Plug m and b into y=mx+b
[tex]y=\frac{2}{3} x-1[/tex]
I hope this helps!
Help pls (pls dont write absolute nonsense on here pls i really need help)
The sales tax rate is 6.3%. Rosa buys a shirt priced as $108, what is her total cost including tax (nearest hundredth)
Answer:
$114.80
Step-by-step explanation:
108 increase 6.3% =
108 × (1 + 6.3%) = 108 × (1 + 0.063) = 114.804
Nimer was driving to a hotel. He looked at his sat nav at 13:30 and saw the following distance to destination = 65miles nimer arrived at the hotel at 14:48 work out the average speed of the car in mph, from 13:30 to 14:48
Answer:Average speed =50 miles per hour or 50mph
Step-by-step explanation:
We know that Speed is given as= Distance/ Time
Nimer's distance to his destination = 65 miles
Time taken to his destination = 13:30 to 14:48
which is = 14:48--13:30 = 1:18 mins
Converting 1hr 18mins to hours = 1 hour + 18/ 60 = 1 + 0.3 = 1.3 hours
Average speed =Distance/ Time
Average speed = 65miles/ 1.3hr = 50 miles per hour
Write 3435.332 out using words
(Pic for friends)
three thousand four hundred thirty-four and three hundred thirty-two thousandths
PLEASE HELP! GIVING POINTS :)!
Answer:
56 square feet
Step-by-step explanation:
If you take the problem and divide into two rectangles by drawing the line up from the bottom 4.
You end up with one rectangle that is
8x4
and a second thats
4x6.
The area is then calculated by taking the length and multiplying by the width of the first (8 x 4) and adding to the same process of the second (4x6)
Thus
32 + 24 = 56 square feet
Answer:
32 + 24 = 56 square feet
1+4-6,2-7+6,4-8+2,6-3-7 highest to lowest
Answer:
-1 , 1 , -2 , - 4
in order its
1, -1 , -2 , -4
Step-by-step explanation:
Tiffany took out a total of $10,000 in subsidized Stafford loans for her four-year college education. How much interest that accrued during her four years of college will she have to repay assuming a market rate of 6 percent?
Answer:
$2,400
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 6%/100 = 0.06 per year,
then, solving our equation
I = 10000 × 0.06 × 4 = 2400
I = $ 2,400.00
The simple interest accumulated
on a principal of $ 10,000.00
at a rate of 6% per year
for 4 years is $ 2,400.00.
Which pairs of equations are parallel?
a) y = 3x + 4 and y = 3x+1
b) y =- 3x + 4 and y = 3x + 1
c) y=x-1 and y = x+1
d) y = 2x + 3 and y = 2x + 1
Answer:
x by 1 times 15 to the third power
Step-by-step explanation:
Sam deposited $400 into her savings account that earned 4.5% interest per year. How much money did she have after 2.5 years?
Answer:
$445
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 4.5%/100 = 0.045 per year,
then, solving our equation
I = 400 × 0.045 × 2.5 = 45
I = $ 45.00
The simple interest accumulated
on a principal of $ 400.00
at a rate of 4.5% per year
for 2.5 years is $ 45.00.
"-5 increased by one-half of a number is a
maximum of 3."
We can write the given statement as expression -
- 5 + (1/2)x = 3
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the statement -
"-5 increased by one-half of a number is a maximum of 3"
We can write it as an expression -
- 5 + (1/2)x = 3
Therefore, we can write the given statement as expression -
- 5 + (1/2)x = 3
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A number is at maximum 20
Answer:
19
Step-by-step explanation: