X+4y<4 linear inequalities
Answers
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]x + 4y < 4[/tex]
The question is incomplete, as what is to be done is not stated.
However, possible sub-questions could be to determine the slope and the y-intercept for the boundary line.
To calculate slope, we have:
[tex]x + 4y < 4[/tex]
Solve for 4y
[tex]4y < - x + 4[/tex]
Solve for y
[tex]y < -\frac{x}{4} + \frac{4}{4}[/tex]
[tex]y < -\frac{1}{4}x + 1[/tex]
A linear inequality is represented as:
[tex]y <mx + b[/tex]
Where [tex]m =slope[/tex] and [tex]b = y\ intercept[/tex]
So:
By comparison:
[tex]mx = -\frac{1}{4}x[/tex]
[tex]m = -\frac{1}{4}[/tex]
and
[tex]b = 1[/tex]
So:
[tex]Slope = -\frac{1}{4}[/tex]
[tex]y\ intercept = 1[/tex]
Also, see attachment for graph
Related Questions
Find the missing side of this right
triangle.
13
8
х
x = [?]
Enter the number that belongs in the green box.
Answers
Answer: x=233
Step-by-step explanation:
The missing side of this right triangle will be 10.25. The given triangle is a right-angled triangle.
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees, then we have:
|AC|² = |AB|² + |BC|²
13²=8²+ |BC|²
|BC|=10.25
The missing side of this right triangle will be 10.25.
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Mrs. Okafor had $475 in her savings account. Each year, the value of the savings account increases
by 4%. How much money does she have in her account after 1 year?
Write an equation to represent the problem. Use b to represent the amount Mrs.
Okafor has in her account after 1 year.
Answers
Answer:
$475 + 4% (19 percent) = $494 a year.
Step-by-step explanation:
Find the equation of the line which passes through (0, 7) at a gradient of 3.
Answers
Answer:
y = 3x + 7
Step-by-step explanation:
Here, line is passing through the point (0, 7). It's x-coordinate is 0 and y-coordinate is 7
So, y-intercept (b) = 7
Gradient (or slope m) = 3
Equation of line in slope intercept form is given as:
y = mx + b
Plugging m = 3 and b = 7 in the above equation, we find:
y = 3x + 7
This is the required equation of line.
Last month the amount on Jaden's bank account statement went from $200 to $150.
What was the percent change? (the change is a 25% decrease. Ignore the top half.)
Please help! I will give brainlest
On this month's bank statement, the final balance was $240.
What percent of change was there this month?
Answers
Answer:
160%
1.6*150=240
Can somebody explain how to solve this pls??
Answers
Answer:
1: domain: 1, 3, 5, -2, -3
Range: 1, 3, 5, 1, -3
2: Domain: 2, 1, -1, -3, -3
Range: 3, -4, -2, 1, 3
Step-by-step explanation:
the domain is the x intercepts, so if the coord is (5, 7) the domain would be 5
The range is the y intercept, so if the coord would also be (5. 7) the range would be 7
and yea uh tell me if i did anything wrong
If a student answers 42 out of 48
questions correctly on a quiz, what
percentage of questions did she
answer correctly?
Answers
Answer:
She answered 87.5% correctly.
Step-by-step explanation:
100÷48=2.083
2.083×42=87.5
The percentage of student answered correctly is 87.5%.
What is percentage?A percentage, a relative value indicating hundredth parts of any quantity.
How to find the prcentage of a number of quantity?The following formula is a common strategy to calculate a percentage:
Determine the total amount of what you want to find a percentage.Divide the number to determine the percentage.Multiply the value by 100.According to the given question.
Total number of questions = 48
Total number of questions which are answered correclty by a student = 42
Therefore, the percentage of question the students answered correctly is given by
[tex]Percentage = \frac{total \ correctly \ answered\ questions}{Toal\ number \ of\ questions\ } \times 100[/tex]
[tex]\implies percentage = \frac{42}{48} \times 100[/tex]
[tex]\implies percentage = 0.875\times 100[/tex]
[tex]\implies percentage = 87.5\%[/tex]
Hence, the percentage of student answered correctly is 87.5%.
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It cost 5.50 for parking, plus an additional $8 for each concert ticket purchased. If joe starts off with a 50 dollar bill and buys 3 concert tickets and a 10$ T-shirt, how much money will he have left? PLEASE HELP
Answers
Answer:
$10.50
Step-by-step explanation:
50-[5.50+8(3)+10] =
50-39.50=
10.50
Answer:
$6.00
first multiply eight and three then add the two things joe bougth. then the answer minus 50
on the first one shows you how to solve it then second one is the problem just tell me the answer pls have a good day bye
Answers
Answer:
43/30
Step-by-step explanation:
Answer:
1 13/30
Step-by-step explanation:
6 & 5 have a Lcm of 30, so lets use that for our denominator so we can add.
5/6 + 3/5 = 25/30 + 18/30
=
43/30 which is equal to 1 13/30.
What is the volume of the rectangular prism
A 11cm
B 24cm
C 30cm
D 36cm
Answers
Answer:
D, the volume of the rectangular prism is 36 cm
Step-by-step explanation:
2 x 3 x 6 = 36
.........................
Answers
Answer:
lol
Step-by-step explanation:
Please answer number 9 I’ll give brainliest thank you!
Answers
Answer:
C (95 people)
Step-by-step explanation:
380 is basically like 100% so 380÷100= 3.8 (which is equal to 1%), then use a calculator to do 3.8x25=95 (this makes 25%)
Answer:
C.95
Step-by-step explanation:
25/100=0.25
380*0.25=95
Help me pls I need this answer
Answers
Answer:
Assuming that [tex] \overline{AOC} [/tex] is a diameter.
Given that [tex] m\angle{BAC} \: = \: 66° [/tex]
And that point O is the center of the circle
[tex] \boxed{m\angle{BAC} \: = \: 57°} [/tex]
Explanation:
Because angle AOB is subtended by arc AB from point O.
Arc AB is equal to the measure of that angle.
Since arc ABC is subtended by the diameter, the arc is 180°.
This year, a small business had a total revenue of $14,600. If this is 27% less than their total revenue the previous year, what was their total revenue the previous year?
Answers
Given:
The total revenue of this year = $14,600
This year revenue is 27% less than their total revenue in the previous year.
To find:
The total revenue in the previous year.
Solution:
Let x be the total revenue of the previous year.
This year revenue is 27% less than their total revenue the previous year.
Revenue in this year = Revenue in previous year - 27% of it
[tex]14600=x-\dfrac{27}{100}x[/tex]
[tex]14600=x-0.27x[/tex]
[tex]14600=0.73x[/tex]
Divide both sides by 0.73.
[tex]\dfrac{14600}{0.73}=x[/tex]
[tex]20,000=x[/tex]
Therefore, the total revenue in the previous year is $20,000.
pls helllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllp
The cost of 4 ice cream cones from the snack bar was $10.40. If each ice cream cone costs the same amount, which model correctly illustrates the relationship? Check all that apply.
y = 10.4 x
y = 2.6 x
y = 4 x
Cost of Ice Cream Cones
A 2-column table with 3 rows. Column 1 is labeled number of ice cream cones with entries 13, 26, 39. Column 2 is labeled Total cost (in dollars) with entries 5, 10, 15.
Cost of Ice Cream Cones
A 2-column table with 3 rows. Column 1 is labeled number of ice cream cones with entries 5, 10, 15. Column 2 is labeled Total cost (in dollars) with entries 13, 26, 39.
Cost of Ice Cream Cones
On a coordinate plane, the x-axis is labeled number of ice cream cones and the y-axis is labeled total cost (in dollars). A line goes through points (0, 0) and (5, 13).
Cost of Ice Cream Cones
On a coordinate plane, the x-axis is labeled number of ice cream cones and the y-axis is labeled total cost (in dollars). A line goes through points (3, 1) and (18, 7).
Answers
Step-by-step explanation:
The model that illustrates the relationship is 4x=10.404x=10.40
The cost of each ice cream was x=\$2.60x=$2.60
Step-by-step explanation:
Let
x----> the cost of one ice cream
we know that
The linear equation that represent this situation is
4x=10.404x=10.40
solve for x
Divide by 4 both sides
x=10.40/4x=10.40/4
x=\$2.60x=$2.60
Answer:
First answer is y = 2.6 (or answer two)
Second answer is Cost of Ice Cream Cones
A 2-column table with 3 rows. Column 1 is labeled number of ice cream cones with entries 5, 10, 15. Column 2 is labeled Total cost (in dollars) with entries 13, 26, 39. (or the first mini graph-ish thingy, i don't remember what to call it)
Third answer is
Cost of Ice Cream Cones
On a coordinate plane, the x-axis is labeled number of ice cream cones and the y-axis is labeled total cost (in dollars). A line goes through points (0, 0) and (5, 13). (or the first graph)
Step-by-step explanation:
Correct on edge 2021
and i did the calculations
I hope this helped have a great day!
Rectangle A B C D graphed in the coordinate plane. The following are the vertices of the rectangle: A(--2,2) B(6,2) C(6,3) D(--2,3)
What is the area of rectangle ABCD?
Answers
Answer:
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Step-by-step explanation:
Simplify 12(3+5y)
A.96y
B.96-8p
C.36+5y
D.36x+60y
Answers
Answer:
60y + 36
Step-by-step explanation:
Answer: D. 36+60y
Step-by-step explanation:
12(3+5y)
36+60y
This equation is all about carrying over the 12 and multiplying against 3 and 5y.
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answers
Answer:
129°
Step-by-step explanation:
the two angles are vertically opposite.
Answer:
angle f= angle g= 129°
Step-by-step explanation:
angle g and f are vertically opposite angles and hece should be equal.
Hope it helps. Please mark as the brainliest.
Solve and check. All steps must be shown.
5x + 15 = 75 - 25x
Answers
Answer:
X = 3
Step-by-step explanation:
Answer:
= 2
Step-by-step explanation:5x+15=75-25x
We move all terms to the left:
5x+15-(75-25x)=0
We add all the numbers together, and all the variables
5x-(-25x+75)+15=0
We get rid of parentheses
5x+25x-75+15=0
We add all the numbers together, and all the variables
30x-60=0
We move all terms containing x to the left, all other terms to the right
30x=60
x=60/30
x=2
Find the surface area of the square pyramid
Answers
Tom deposited $2,410 in a bank that pays 12% interest compounded monthly find the amount he will have at the end of three years
Answers
Answer: 3448.15
Step-by-step explanation:
The formula is
A=p ((1+(r/n))^(tn)
A future value ?
P present value 2410
R interest rate 0.12
N compounded monthly 12
T time 3 years
A=2,410×((1+(0.12÷12))^(3×12)
A=3448.15
Determine the solution to this equation y= 3X + 1. 3y- 5x =11
Answers
Answer: y = 3,x =7
Step-by-step explanation:
Three triangles are drawn on the same piece of paper such that no two sides are on the same line. What is the maximum number of points of intersection of the three triangles?
Answers
Answer:
6
Step-by-step explanation:
a business plants trees on 2/4 acre of land each month for 7 months. how many acres of land does the business plant with trees after the 7 months?
a) 2/28
b) 14/28
c) 14/4
d) 30/4
please help. and please take this seriously, thank you.
Answers
Answer:
C) 14/4
Step-by-step explanation:
Multiply the amount of land per month by the number of months.
(2/4)(7) = 14/4 acres
Option C is correct, 14/4 acres of land does the business plant with trees after the 7 months
What is Fraction?A fraction represents a part of a whole.
A business plants trees on 2/4 acre of land each month for 7 months.
We have to find the number of acres of land does the business plant with trees after the 7 months
To find this we have to multiply seven with two by four
7×2/4
14/4
Hence, 14/4 acres of land does the business plant with trees after the 7 months
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Sam is driving home from college. He is 220 miles away from home. If he can make it home in 4 hours, at what speed or velocity is he driving?
[Hint: Use d = vt.]
Answers
Explanation: that hint is really useful
So if distance = velocity x time
That means 220 = v x 4 hours
To find v, divided 220 by 4
220 divided by 4 = 55
But I have a question:
Is he driving at a constant speed?
and is this 6th grade math? I’m in that grade but you can trust my answer
If im wrong, someone pls correct me
If im right, mark me brainliest pls, im broke, i have no points-
Goodluck!
Do u know rulers take 2# I already ask this question its just take I put the wrong file
Answers
Answer:
9 and a half inches
Step-by-step explanation:
Just count via the ruler!
Answer:
9 4/10 inches
Step-by-step explanation:
look at where the red dotted line to the right falls on the ruler. It's not quite on 9 and a 1/2 but on the line just before that.
hope this helps
What would 'x' be in the equation -3(x-2)=6?
Answers
Answer:
[tex]\boxed {\boxed {\sf x=0}}[/tex]
Step-by-step explanation:
To solve this equation, we must isolate the variable (x) using inverse operations.
[tex]-3(x-2)=6[/tex]
x-2 is being multiplied by -3. The inverse operation of multiplication is division, so we divide both sides by -3.
[tex]-3(x-2)/-3= 6/-3\\(x-2)=6 /-3 \\(x-2)= -2[/tex]
2 is being subtracted from x. The inverse operation of subtraction is addition, so add 2 to both sides of the equation.
[tex]x-2+2=-2+2\\x=-2+2\\x=0[/tex]
In this equation, x is equal to 0.
What are the missing numbers?
Answers
WHAT IS (1+1)*0 HELP!
Answers
Answer:
0
Step-by-step explanation:
anything times zero is zero
I will give BRAINLIEST!!!The distance between P and T on the coordinate grid is units. (Input whole numbers only) 25 20- P. T -50 40 -30 -20 -10 0 10 20 30 40 Numerical Answers Expected! Answer for Blank 1:
Answers
Answer:
P and T are 25 units apart.
The Smith family went out to dinner.
The meal cost $65.56.
The sales tax is 2.5% of the meal.
The tip was 18% of the meal and the tax.
There are 6 people in the Smith family.
What was the cost per person for the meal, including sales tax and tip?
Answers
Answer:
13.22
Step-by-step explanation: