Given an inequality, what strategies can we use to determine where the boundary line is? Explain your strategies in detail.
4x+3y≥12
Answers
Answer:
Step-by-step explanation:
The strategy to determine the boundary line is that we need to remove the inequality sign and replace it with and equal to sign and then sketch the equation of the function which is
[tex]4x+3y=12[/tex]
to sketch the function we need the function's x-intercept which means the graphs crosses the x-axis at that specific point (x , 0) and y-intercept which means the graph crosses the y-axis at that specific point (0 , y).
Since both these points lie on line we can substitute it into the equation to find the x-y intercepts and hence sketch the line so here goes.
For x-intercept:
[tex]4x+3y=12\\4(x)+3(0)=12\\4x=12\\x=12/4\\x=3[/tex]
so the x-intercept is (3 , 0)
For y-intercept:
[tex]4x+3y=12\\4(0)+3(y)=12\\3y=12\\y=12/3\\y=4[/tex]
so the y-intercept is (0 , 4)
now we sketch these 2 points and draw a straight line joining both the points as shown in the image below.
Related Questions
Which graph represents the inequality? 2x+y>4
Answers
m=-2
b=4
Slope=-2x+4
y<-2x+4
Mark made 23 out of 45 free throws. What is his average number of free throws made? Express your answer as a decimal using bar notation if necessary.
Answers
Answer:
0.51
Step-by-step explanation:
Total free throws taken = 45
Number of successful free throws = 23
Average number of free throws made (x) :
Successful free throws / Numbe rod free throws taken
23 / 45 = 0.511
x = 0.51
The perimeter of a rectangle is equal to 280 meters.
The ratio of its length to its width is 5:2. Find the area
of the rectangle.
Answers
Answer: the area of the rectangle is 4000 meter square.
Step-by-step explanation:
What is the value of x?
Answers
Answer:
120
Step-by-step explanation:
gl!!
Please look at the picture I’m timed !!
Answers
Answer:
[tex]k = 2.5[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
[tex]\frac{7.6}{2} = \frac{9.5}{k}[/tex]
Step 2: Solve for k
Cross-multiply: [tex]7.6k = 2(9.5)[/tex]Multiply: [tex]7.6k = 19[/tex]Isolate k: [tex]k = 2.5[/tex]Answer:
The answer is K+2.5
Step-by-step explanation:
Find the slope of the graph
Answers
Answer:Pick two points on the line and determine their coordinates.
Determine the difference in y-coordinates of these two points (rise).
Determine the difference in x-coordinates for these two points (run).
Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).
Step-by-step explanation:
D is 13. What is the length of the line.
Answers
Answer:
D
Step-by-step explanation:
You have to use pythagorean theorem to solve this.
Answer:
D
Step-by-step explanation:
use pytherogream theory
sides, 5 and 12
pytherogream triple 5, 12, 13
Mindy bought 1¾ pounds of candy for herself and for each of three friends while she was at the candy store. How many pounds of candy did she buy?
Answers
Answer: 7 pounds
Step-by-step explanation: 1 3/4×4=7
please answer/ HELP ME I am using ALL of my points to ask this !!! Write the equation for the quadratic function in the graph.
Answers
Answer:
C matches the graph the best
Step-by-step explanation:
This equation shows how the total amount of paper Scott's office has recycled depends on the number of weeks since they started the new recycling plan. p = 12w The variable w represents the number of weeks the office has been on the new recycling plan, and the variable p represents the total kilograms of paper recycled. How many weeks will it take Scott's office to recycle a total of 12 kilograms of paper?
Answers
Answer:
1 week
Step-by-step explanation:
Given:
p = 12w
Where,
w = number of weeks the office has been on the new recycling plan
p = total kilograms of paper recycled.
How many weeks will it take Scott's office to recycle a total of 12 kilograms of paper?
Find w when p = 12
p = 12w
12 = 12w
Divide both sides by 12
w = 12/12
= 1
w = 1 week
Am I correct? Why am I wrong?
Answers
According to the information the correct match would be: 3 1/2 - This is a rational number, but not an integer, 0.56 - This is a rational number, but not an integer, 5 - This is an integer, Square root of 11 - This is an irrational number, -3 1/2 - This is a rational number, but not an integer.
How to determine the type of number?To determine the type of number, we need to understand the properties of each number.
3 1/2 can be expressed as the fraction 7/2, which is a rational number (a number that can be expressed as a fraction), but not an integer (a whole number without a fractional or decimal part).
0.56 is a rational number as it can be expressed as the fraction 28/50, but it is not an integer as it has a decimal part.
5 is an integer because it is a whole number without any fractional or decimal part.
The square root of 11 is an irrational number since it cannot be expressed as a fraction or a terminating or repeating decimal.
-3 1/2 can be expressed as the fraction -7/2, which is a rational number (a number that can be expressed as a fraction), but it is not an integer (a whole number without a fractional or decimal part).
Learn more about numbers in: https://brainly.com/question/24908711
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A pair of jeans cost $200, but is on sale for 40% off. You still have to be 7%
tax. What is your final cost for the jeans?
$128.40
O
$120
$111.60
280
Answers
Answer:
$128.40
Step-by-step explanation:
200 × 0.4 = 80
200 - 80 = 120
120 × 0.07 = 8.4
120 + 8.4 = 128.4
Answer:
$128.40
Step-by-step explanation:
1. Find the cost after the discount.
Multiply the original cost by the discount percentage. This is the amount that was taken off of the original price.
$200 x 40% = $80
Subtract the discount from the original price.
$200 - $80 = $120.
2. Calculate the tax.
Tax is 7% of the final cost. Multiply the final cost by the tax rate. This determines how much tax was added.
$120 x 7% = $8.40
Add the tax amount to the discounted price.
$120 + $8.40 = $128.40
The final cost is $128.40.
what is the prime factorization for 42
Answers
Answer:
2x3x7
Step-by-step explanation:
Select all true statements.
A) Dilation's of an angle must be congruent to the original angle.
B) Dilation's if a triangle must be congruent to the original triangle.
C) Dilation's of a segment must be congruent to the original segment.
D) Dilation's of a circle must be congruent to the original circle.
Answers
Answer:
A) Dilation's of an angle must be congruent to the original angle.
B) Dilation's if a triangle must be congruent to the original triangle.
Step-by-step explanation:
Dilation is one of rigid transformations in which the size of an angle or object is either increased or decreased, to produce an image, with respect to a given factor. In this process, the dimensions of the object are affected but its orientation remains the same.
When a figure is dilated, the new figure is congruent to the original figure. Also, when an angle undergoes dilation, its measure is not affected. Thus, it would be congruent to the original angle.
Mariana plans to visit an amusement park where she must pay for admission and purchase tickets to go on the rides. Mariana wants to find the total cost for a day at the amusement park. She wrote the equation c = 1.50x + 12 to predict c, the total cost for a day at the amusement park. What could the number 12 represent in Mariana's equation?
Answers
Answer: The number 12 represents admission charge in Mariana's equation.
Step-by-step explanation:
As per given ,
Total cost = ( Charge per ticket) (Number of tickets) + (Admission fees) (i)
For x = Number of tickets, the total cost (c) for a day at the amusement park is given as
[tex]c = 1.50x + 12[/tex] (ii)
Here, 12 = Admission fees [Comparing (i) and (ii)]
Hence, the number 12 represents admission charge in Mariana's equation.
How would you solve X+5^2=16 using the rewrite method I only have 10 min left help
Answers
Answer:
x=-9
Step-by-step explanation:
x+5^2=16
x+25=16
x=-9
Answer :
x + 5² = 16
x + 25 = 16
x = 16-25
x = -9 is the answwr
Hope it helped
Miya flips a coin and rolls a 6-sided number cube labled 1-6 and records tge outcome. About how many times is she likely to flip heads and roll a 3 out of 48 trials
Answers
Answer:
4 times
Step-by-step explanation:
Sample space :
6 sided cube = (1, 2, 3, 4, 5, 6)
Coin = (H, T)
Probability = required outcome / Total possible outcomes
Probability of head (H) = P(H) = 1 /2 = 0.5
Probability of 3 = P(3) = 1 /6 = 0.166666
Probability of heads and 3 on a single try = p(H) * p(3) = 0.5 * 0.166666 = 0.083333
Hence, expected number of times this is likely to occur in 48 tries :
0.083333 * 48 = 4
please help me i have a c i need help desperately lol
Answers
Answer:
positive and find the distance..
Step-by-step explanation:
Answer:
1. Find the distance from the number to 0 on the number line
2. positive
Step-by-step explanation:
I need help with the area and perimeter
Answers
Answer:
Area would be 122.
Perimeter would be 45.
Solve for c.
2(c +1) = 10
Answers
Answer:
c = 4
Step-by-step explanation:
[tex]2(c+1) = 10[/tex]
Lets divide both the sides by 2.
[tex]=> \frac{2 (c+1)}{2} = \frac{10}{2}[/tex]
[tex]=> c + 1 = 5[/tex]
Now , lets substract 1 on both the sides.
[tex]=> c + 1 - 1 = 5 - 1[/tex]
[tex]=> c = 4[/tex]
The solution to the equation 2(c + 1) = 10 is c = 4.
We have,
To solve for c in equation 2(c + 1) = 10, we will apply the distributive property and simplify the equation step by step.
Let's solve it:
Distribute the 2 to the terms inside the parentheses:
2c + 2 = 10
Move the constant term (2) to the right side by subtracting 2 from both sides of the equation:
2c + 2 - 2 = 10 - 2
Simplifying further:
2c = 8
Divide both sides of the equation by 2 to solve for c:
(2c) / 2 = 8 / 2
Simplifying further:
c = 4
Therefore,
The solution to the equation 2(c + 1) = 10 is c = 4.
Learn more about expressions here:
https://brainly.com/question/3118662
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To go bowling, it costs $2 to rent shoes and then $3.25 for each game bowled. Which of the following functions gives the total cost to bowl g games?
Answers
Answer:
2+3.25x
Step-by-step explanation:
Answers
Of this picture that I just uploaded
Answers
Answer:
D
Step-by-step explanation:
(-25) devided (-5).
Answers
Answer:
Step-by-step explanation:
Here you go mate
step 1
(-25)/(-5)
step 2
(-25)/(-5) divide the equation by 5
answer
=5
Answer: 5
Step-by-step explanation:
Multiplying or dividing a negative by a negative results in a positive.
[tex](-10)/(-2)=5[/tex]
Multiplying or dividing a negative by a positive results in a negative.
[tex](-10)/(2)=-5[/tex]
Multiplying or dividing a positive by a negative results in a negative.
[tex](10)/(-2)=-5[/tex]
Multiplying or dividing a positive by a positive results in a positive.
[tex](10)/(2)=5[/tex]
Thus, because -25 and -5 are both negatives, the answer must be positive.
Create an algebraic equation for the word problem below.
Canadian Tire is selling coffee mugs. A coffee mug costs $5 and each day the price increases by $2.
Answers
Answer:
p = 5 + 2dStep-by-step explanation:
Let the day number be d and the price after d days be p, then required equation is:
p = 5 + 2d3 multiplied by what gives you 0.375
Answers
Answer:
0.125
Step-by-step explanation:
3xp=0.375
p=0.125
PLEASE HELP ITS URGENT
What are the domain and the range of this graph?
The domain is {x∈ℝ∣∣x≤0} and the range is {y∈ℝ∣∣y≤0}.
The domain is {x∈ℝ∣∣x≤0} and the range is {y∈ℝ∣∣y≥0}.
The domain is {x∣∣x∈ℝ} and the range is {y∈ℝ∣∣y≤0}.
The domain is {x∣∣x∈ℝ} and the range is {y∈ℝ∣∣y≥0}.
Answers
Answer:
The domain is {x∣∣x∈ℝ} and the range is {y∈ℝ∣∣y≥0}.
Step-by-step explanation:
*EASY* SOLVE WITH STEPS *WILL MARK BRAINLIEST*
Answers
Answer:
(6, 1)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
3x - 5y = 13
x + 4y = 10
Step 2: Rewrite Systems
x + 4y = 10
Subtract 4y on both sides: x = 10 - 4yStep 3: Redefine Systems
3x - 5y = 13
x = 10 - 4y
Step 4: Solve for y
Substitution
Substitute in x: 3(10 - 4y) - 5y = 13Distribute 3: 30 - 12y - 5y = 13Combine like terms: 30 - 17y = 13Isolate y terms: -17y = -17Isolate y: y = 1Step 5: Solve for x
Define equation: x + 4y = 10Substitute in y: x + 4(1) = 10Multiply: x + 4 = 10Isolate x: x = 6Answer:
(6,1) x=6 and y=1
Step-by-step explanation:
EASY we can use Elimination or Substitution process
We are going to solve by
Elimination process
Subtract each other
(3x-5y=13)
(x+4y=10)
3x-5y=13;x+4y=10
To solve this multiply (x-4y=10) by 3 to get rid of the x
3x-12y=30
now u can subtract both
3x-12y=30 minus
3x-5y=13
17y=17
Divide both sides by 17
y=1
Now we have y lets plug it in to find x
x+4(1)=10
x+4=10
subtract 4 from both sides
x=6
x=6 and y=1
find the slope and y-intercept of the line in the equation 2y+x=-6 Show all work!
Slope=____ y-intercept=____
Answers
Subtract x
2y = -x - 6
Divide by 2
Y = -1/2x - 3
Format: y = mx + b
m = slope, b = y intercept
Solution: slope: -1/2
y intercept: -3
An elevator can carry 800 pounds of weight.
A football player weighing 280 pounds gets on the elevator with a student weighing 95 pounds. Write and solve an inequality representing the
remaining weight x that can be added.
Answers
Answer:
800 > x + 375
x < 425
Step-by-step explanation:
800 > x + 375
425 > x
A function is represented by the graph. Complete the statement by selecting from the drop-down menu. The y-intercept of the function y=3x+2 is Choose... the y-intercept of the function represented in the graph. A graph with a line through point (0, 2) and point (2, 6)
Answers
Answer:
less than
Step-by-step explanation:
Answer:
A graph with a line through point (0, 2) and point (2, 6)