Answers
Answer:
#1
Slope: 1/2
Y Intercept: -3
#2
Slope: -3
Y Intercept: 2
Related Questions
a box with a square base is taller than it is wide. in order to send the box through the US mail, the height of the box and the perimeter of the base cna sum to no more than 108 in. what is the maximum colume for such a box
Answers
The given box has the shape of a cuboid, since its height is greater than its width. Thus, the maximum volume for such box is 11200 [tex]in^{3}[/tex].
The volume of an object is a measure of it containing capacity. Since the given box has a taller height than its width, then it has the shape of a cuboid. The volume of a cuboid is given as:
volume = length x width x height
= area x height
Given that the sum of the perimeter of its base and its height is not more than 108 inches, we can say; let the sides of the square base be represented by l and its height by h.
Then;
4l + h = 108
Therefore, maximum volume for the box can be attained when l = 20 inches and h = 28 inches.
So that;
4(20) + 28 = 80 + 28
= 108 inches
Thus;
maximum volume = area of the square base x height
= 400 x 28
maximum volume = 11200 [tex]in^{3}[/tex]
The maximum volume for such a box would be 11200 [tex]in^{3}[/tex].
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Find the perimeter. Simplify your answer.
Answers
Answer:
16c-6
Step-by-step explanation:
(7c-6)+(6c-10)+(3c+10)=?
7c-6+6c-10+3c+10=?
Collect like terms.
16c-6-10+10
Add and subtract.
16c-6
Hope this helps :)
the decimal equivalent of 14/26
Answers
Answer: 0.53846153846154
Step-by-step explanation: you do
= 14/26
= 14 ÷ 26
= 0.53846153846154
YES I WILL GIVE BRAINLIST
Which of the following systems of equations has exactly one solution?
Question 1 options:
2x+y=10y=−2x+8
2x+4y=102(x+2y)=10
2(2x+1)=yy=2x+8
y=10−2xy=−2x+7
Which of the following systems of equations has infinitely many solutions?
Question 4 options:
2x+7x+y=6y=9x+6
y=5x+7y=2x+8
y=x+42y=2x+8
7x−y=10y=6x+8
Answers
Answer:
Question 1) Option C: 2(2x+1) = y, y = 2x + 8.
Question 4) Option C: y = x + 4, 2y = 2x + 8
Step-by-step explanation:
Definitions:Perpendicular LinesThe graph of perpendicular lines will show an intersection of two lines at a single point, forming 90° adjacent angles. Since perpendicular lines intersect at exactly one point, then it means that they will have one solution. Additionally, perpendicular lines have negative reciprocal slopes for which multiplying the slopes of both lines result in a product of -1.
Coinciding LinesLines that have the same slope and y-intercept. Therefore, they are equivalent equations that will result in an infinitely many solutions. The graph of these lines will coincide on top of each other, as if they are the same line. The systems of linear equations that result in an infinitely many solutions are dependent and consistent. They are dependent if they have an infinite number of solutions, and consistent because they have at least one solution.
Parallel linesParallel lines have the same slope. A systems of linear equations whose graph involve parallel lines have no solution, as there is no point of intersection between those two lines. Therefore, parallel lines have no solution, making it an inconsistent system.
Question 1:We must transform these equations in its slope-intercept form, y = mx + b, which will allow us to easily determine the type of lines a given system has based on their slopes.
Option A:Equation 1: 2x + y = 10
Equation 2: y = −2x + 8
Transform Equation 1 to slope-intercept form:
2x + y = 10
Subtract 2x from both sides:
2x - 2x + y = - 2x + 10
y = -2x + 10 ⇒ This is the slope-intercept form of Equation 1.
Since Equations 1 and 2 have the same slope, but different y-intercepts, then it means that they are parallel lines that have no point of intersection.
Option B:
Transform both equations to slope-intercept form:
Equation 1: 2x + 4y = 10
[tex]\large\bf\sf{y\:=\:-\frac{1}{2}x\:+\:\frac{5}{2}}[/tex] ⇒ This is the slope-intercept form of Equation 1.
Equation 2: 2(x+2y) = 10
Distribute 2 into the parenthesis:
2(x+2y) = 10
2x + 4y = 10 ⇒ It is clear at this point that this equation matches Equation 1. Thus, the slope-intercept form of Equation 2 will be the same:
[tex]\large\bf\sf{y\:=\:-\frac{1}{2}x\:+\:\frac{5}{2}}[/tex] ⇒ Slope-intercept form of Equation 2.
It turns out that Equations 1 and 2 are equivalent, as they have exactly the same slope and y-intercept. Therefore, they have coinciding lines and have infinitely many solutions.
Option C:Transform both equations to slope-intercept form:
Equation 1: 2(2x+1) = y
y = 4x + 2 ⇒ Slope-intercept form of Equation 1.
Equation 2: y = 2x + 8
Option D:Equation 1: y = 10 − 2x
y = − 2x + 10 ⇒ This is the slope-intercept form of Equation 1.
Equation 2: y = −2x + 7
Since Equations 1 and 2 have the same slope, but different y-intercept, then it means that they are parallel from each other.
Answer for Question 1:Out of all the given four options, Option C seems to be the correct answer, since the given system has varying slopes and y-intercept. Therefore, the correct answer for Question 1 is Option C: 2(2x+1) = y, y = 2x + 8.
Question 4:For Question 4, I will not elaborate as thoroughly as in Question 1 since I'll be using the same techniques.
Option A)Equation 1: 2x+ 7x + y = 6
Combine like terms:
2x+ 7x + y = 6
9x + y = 6
Subtract 9x from both sides:
9x - 9x + y = - 9x + 6
y = - 9x + 6 ⇒ Slope-intercept form of Equation 1.
Equation 2: y = 9x + 6
Option A Explanation:
Equations 1 and 2 have different slopes and the same y-intercept. This implies that they will have a point of intersection = one solution. However, they don't have perpendicular lines because their slopes are not negative reciprocal of each other. Hence, Option A is not a valid answer for question 4.
Option B)Equation 1: y = 5x + 7
Equation 2: y = 2x + 8
Option B explanation:
Similar to Option A, Equations 1 and 2 have different slopes and varying y-intercepts. Since they are not parallel from each other, and do not have coinciding lines, then Option B is not a valid answer for question 4.
Option C)Equation 1: y = x + 4
Equation 2: 2y = 2x + 8
Transform Equation 2 to Slope-intercept form:
Divide both sides by 2 to isolate y:
[tex]\displaytext\mathsf{\frac{2y}{2}\:=\:\frac{2x\:+\:8}{2}}[/tex]
y = x + 4 ⇒ This is the slope-intercept form of Equation 2.
Option C explanation:
Equations 1 and 2 are equivalent, as they have exactly the same slope and y-intercept. They also have coinciding lines, having infinitely many solutions.
Therefore, Option C is the correct answer for Question 4.Option D)
Equation 1: 7x − y = 10
y = 7x - 10 ⇒ This is the slope-intercept form of Equation 1.
Equation 2: y = 6x + 8
Option D explanation:
Similar to Option B, Equations 1 and 2 have different slopes and varying y-intercepts. Since they are not parallel from each other, and do not have coinciding lines, then Option D is not a valid answer for question 4.
What is the equation for the line in slope-intercept form?
Enter your answer in the box. I'll give you 100 points
Answers
Answer:
y = -4x + 5.
Explanation:
Count rise/run to find the slope, find the y-intercept.
Answer:
y = -4x + 3
Step-by-step explanation:
First, find the slope using two points [(-2, 13), (0, 5)] and the formula [ y2-y1/x2-x1 ].
5-13/0-(-2)
-8/2
-4
Second, find the y-intercept which we know is (0, 5) since we used it in the previous part.
Third, input everything we found.
y = -4x + 5
Best of Luck!
4(x+6)=3x-7 please could you help me
Answers
Hello!
Let's use the Distiributive property:
4(x+6)
4x+24
4x+24=3x-7
Move all the variables to the left:
4x-3x=-7-24
x=-31
Hope this helps!
~Just a determined gal
#CarryOnLearning
[tex]MysteriousNature[/tex]
1\4-2\5
plese help and thank
you
Answers
Answer:
3/20
Step-by-step explanation:
3/20 I sure, Just trying this one
What is the mass of 64 mL of a liquid with a
density of 2.7 g/mL?
Answers
Answer:
172.8
Step-by-step explanation:
to get density its mass over volume so if you mutiply volume by density you get the mass
Line FG passes through points (0, 2) and (3, 2). Line F′G′ is formed by dilating line FG by a factor of 2 about the origin. Which statement is true? Group of answer choices Line F′G′ is the original line. Line F′G′ passes through the origin. Lines FG and F′G′ are parallel to each other. Lines FG and F′G′ are perpendicular to each other.
Answers
Answer:
See the picture, it explains the correct choice is CStep-by-step explanation:
a) Line F′G′ is the original line. Falseb) Line F′G′ passes through the origin. Falsec) Lines FG and F′G′ are parallel to each other. TRUEd) Lines FG and F′G′ are perpendicular to each other. FalseHelp!?! I have no clue how to solve it :/
Answers
The lines represented by the equations 5y - x = 5 and y - x = 1 are
Answers
Answer:
Same line
Step-by-step explanation:
5y - x = 5 y - 1/5x = 1
5y = x + 5 y = 1/5x + 1
5y/5 = x/5 + 5/5
y = 1/5x + 1
Elliot purchased 3 trick cameras and 4 fake snakes and spent a total of $40. Kaci bought 7 trick cameras and 8 fake snakes, and her total was $85. Let x be the price of the trick cameras and let y be the price of the snakes.
Answers
It can be deduced that the price of the trick cameras will be $5 and the price of the snakes will be $6.25.
Based on the information given, the equation to solve the question will be:
3x + 4y = 40 ...... i
7x + 8y = 85 ...... ii
Multiply equation i by 7
Multiply equation ii by 3
21x + 28y = 280
21x + 24y = 255
Subtract the equations
4y = 25
y = 25/4 = 6.25
Since 3x + 4y = 40
3x + 4(6.25) = 40
3x + 25 = 40
3x = 40 - 25.
3x = 15
x = 15/3 = 5
Therefore, the price of the trick cameras will be $5 and the price of the snakes will be $6.25.
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There are `15` pieces of fruit in a bowl, and `6` of them are apples.
What percent of the pieces of fruit in
Answers
Answer:
40% of the pieces of fruit in the Bowl are apples.
Step-by-step explanation:
Given the statement:- There are 15 pieces of fruit in a bowl and six of them are apples.
⇒ Total number of pieces of fruit in a bowl = 15 pieces
and
Number of pieces of apple in a bowl = 6 pieces.
To find the percentage of the pieces of fruit in the Bowl are apples.
=
Therefore, 40% of the pieces of fruit in the Bowl are apples.
Answer:
percent of apples = 40%
percent that is not apple = 60%
Step-by-step explanation:
percent of apples = 6/15 × 100% = 40%
percent that is not apple = 9/15 × 100% = 60%
find the amount if £1,500 is saved for 3and1/2 years at 10percent per annum
Answers
Answer:
To calculate a monthly interest payment based on a per annum interest rate, multiply the principal basis for the loan by the annual interest rate. ...
Divide the annual interest amount by 12 to calculate the amount of your per annum interest payment that is due each month.
Step-by-step explanation:
what is 2 x 5/8 in fractions i need help
Answers
Answer:
5/8 x 2 = 10/8 as simplified as 5/4 in fraction form.
5/8 x 2 = 1.25
in decimal form.
Step-by-step explanation:
The solution of the fraction is,
⇒ 5 / 4
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
The fraction is,
⇒ 2 × 5/8
Now, We can simplify as;
The fraction is,
⇒ 2 × 5/8
Multiply as;
⇒ 10 / 8
⇒ 5 / 4
Thus, The solution of the fraction is,
⇒ 5 / 4
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A survey was given to a random sample of 80 residents of a town to determine
whether they support a new plan to raise taxes in order to increase education
spending. Of those surveyed, 40 respondents said they were in favor of the plan.
Answers
Answer:
sorry i dont quite understand your question .
Ratio would be 1/2 or 50:100 in terms to 40:80
Step-by-step explanation:
if this was more or less of a GOVT question for history or law class then the answer would be " If no candidate for president receives an absolute majority of the electoral votes, pursuant to the 12th Amendment, the House of Representatives is required to go into session immediately to choose a president from among the three candidates who received the most electoral votes. "
Please help fast Find the volume of a right circular cone that has a height of 15-3 ft and a base with a
radius of 13.9 ft. Round your answer to the nearest tenth of a cubic foot.
Answers
Answer:
3095.6 ft³
Step-by-step explanation:
Volume cone = 1/3(πr²h)
= 1/3(π(13.9)²(15.3))
= 1/3(π(193.21)(15.3))
= 1/3(2956.113π)
= 985.371π ≈ 3095.6 ft³
-Chetan K
Francis's rectangular lawn has a length of 2x + 1 feet and a width of x + 1 feet. She plants a square garden with a side length of x + 2 feet
in the lawn. What is the area of the lawn not covered by the garden?
Answers
Answer:What is the slope of the line through (-5,-10)(−5,−10)left parenthesis, minus, 5, comma, minus, 10, right parenthesis and (-1,5)(−1,5)left parenthesis, minus, 1, comma, 5, right parenthesis?
Step-by-step explanation:
Answer:x^2-x-3
Step-by-step explanation:
step 1-find area of rectangular lawn
(2x+1)(x+1)=2x^2+3x+1
step 2-find area of garden
(x+2)(x+2)=x^2+4x+4
step 3- subtract the two
=x^2-x-3
59 divided by 4=? Also, please don't use a fraction just keep it simple like 68R7.
R/r=remainder
Answers
Answer:
14 R3
Step-by-step explanation:
the closest multiple of 4 under 59 is 56. 56/4=14 and there is a remainder of 3 between 59 and 56
Answer: 14R3
Step-by-step explanation:
Can you help me plzzzzzzz
Answers
Answer:
Step-by-step explanation:u have to add x+6 = ur answer there u go
Callum says that every number is greater than its opposite. Do you agree?
Answers
Answer:
I disagree with Callum because the opposite of -1 is 1 and a positive number is greater than a negative number. If Callum wants to be right then he has to say every positive number is greater than its opposite in order to be true.
Step-by-step explanation:
Solve for v.
–1 = 4v − 13
v =
Answers
Answer:
-1+13=4v
12=4v
v=3
....
.............
add 13 on both sides
-1 + 13 = 4v - 13 + 13
12 = 4v
divide by 4 on both sides
12/4 = 4v/4
v = 3
say I like English debating but it takes too long sometimes. but replace English with math
Answers
I like Math debating but it takes too long sometimes. This is so because mathematics, despite being an exact science, provides several alternatives to reach the same final result.
Thus, for example, a probability percentage can be obtained by means of a binomial formula or by means of a cross multiplication calculation, where both results will be correct.
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Answer:
oh my god
Step-by-step explanation:
Which of the following represents the set of possible rational roots for the
polynomial shown below?
2x3 + 5x2 – 8x – 20 = 0
Answers
The plus/minus of the following: 1/2, 1, 2, 5/2, 4, 5, 10, 20
========================================================
Explanation:
Refer to the rational root theorem. To find the possible rational roots, we divide the factors of the last term 20 over the factors of the first coefficient 2.
Factors of 20 are: 1,2,4,5,10,20Factors of 2 are: 1,2Dividing those said factors leads us to the list in choice D. We include the positive and negative versions of each result. For example, divide 10 over 2 to get 10/2 = 5 as one possible root (which leads to -5 as well).
A table like the one shown below might be handy to keep track of all the terms.
Answer:
DStep-by-step explanation:
Simplify the given equation by dividing all terms by 2:
x³ + 2.5x² - 4x - 10 = 0x²(x + 2.5) - 4(x + 2.5) = 0(x + 2.5)(x² - 4) = 0(x + 2.5)(x + 2)(x -2) = 0Roots are:
- 2.5, -2, 2Correct choice is D
Frank pays 2.85 for a bag of 15 tangerines.
Find the unit price in dollars per tangerine.
If necessary, round your answer to the nearest cent.
Answers
Answer:
19 cents because 2.85/15=0.19ct and now we round it up its 20cents!
Step-by-step explanation:
Hope this helps!
Answer:
The answer is $0.19
Step-by-step explanation:
Divide 2.85 by 15.
2.85 ÷ 15 = 0.19
Solve.
x−(−2 3/8)=−1/4
What is the solution to the equation?
Enter your answer as a simplified mixed number in the box.
X= ??
Answers
Different form : -21/8
Decimal form: -2.625
12 liters to quarts rounded to nearest hundredth
Answers
Answer:
12.6
Step-by-step explanation:
have a wonderful day :)
how can you solve this (3/4 - 1/5)
Answers
Answer:
11/20
Step-by-step explanation:
For 0° ≤ x < 360°, what are the solutions to cos(x/2) – sin(x) = 0?
A{0°, 60°, 300°}
B{0°,120°, 240°}
C{60°, 180°, 300°}
D{120°,180°, 240°}
Precalc
Answers
Answer:
the answer is c
Step-by-step explanation:
cos30 = sin60
then cos30 - sin 30 = 0
c is the only choice which can satisfy in the problem
8. Expand, then simplify: (2 Points) (2a – 3) (a2 + 3a - 5)
Answers
Hello
just a second
people reading this please complete because you will help me a lot.
I am an Indian girl my name is Lamer and am 13 years old.
I Just got this new device after working at a farm for 2 years.
I used to use brainly at my friend device she had money to buy brainly plus.
I cant please help me get points so I can get good marks and my dad let me complete my education instead of getting married.