Answer:
[tex]x+3y\leq 0[/tex]
[tex]x-y\geq 0[/tex]
[tex]1) x+3y=0[/tex]
[tex]x-y=0[/tex]
[tex]-----[/tex]
[tex]4y=0[/tex]
[tex]y=0[/tex]
[tex]x=0[/tex]
[tex](0,0)[/tex]
[tex]2)(x+3y=0)3[/tex]
[tex]3x-7y=16[/tex]
[tex]3x+9y=0[/tex]
[tex]3x-7y=16\\------\\16y=-16[/tex]
[tex]y=-1[/tex]
[tex](3,-1)[/tex]
[tex]3)(x-y=0)3[/tex]
[tex]3x-7y=16[/tex]
[tex]3x-3y=16[/tex]
[tex]3x-3y=0[/tex]
[tex]3x-7y=16\\------\\4y=-16[/tex]
[tex]y=-4[/tex]
[tex]x=4[/tex]
[tex](4,-4)[/tex]
[tex]Z=-x+5y[/tex]
[tex](0,0):z=0[/tex]
[tex](3,-1):z=-8[/tex]
[tex](4,-4):z=-24[/tex]
[tex]Maximum \:Value\: of\: z:0[/tex]
[tex]Minimum\: Value\: of\: z:-24[/tex]
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7. The total cost to rent a truck is $100 and $0.20 per km.
a. Determine an algebraic model for the relationship between total cost and distance driven. Use C to
represent total cost (S) to rent the truck and d to represent distance driven (km).
Answer:
C= 100+ d*0.2
Step-by-step explanation:
Give data
Cost of rental = $100
Cost per km= $0.2
Total cost= C
Distance= d
Let us model the expression
Hence the expression is given as
C= 100+ d*0.2
In this figure, a line through points X and Y will _____
Answer:
D.
Step-by-step explanation:
The line will be a straight line and will go through AB in the center. Therefore, it will be the perpendicular bisector.
If AC = 4x-60 and BD = 30-x, find BD (GIVING BRAINLIEST)
The figure given is a rectangle
Answer:
12
Step-by-step explanation:
AC = BD (as the diagonal of the rectangle)
4x-60=30-x
4x+x = 30+60
5x = 90
x = 90/5
x = 18
=> BD = 30-18 = 12
which of the following equations is an example of direct variation?
Answer:
C
Step-by-step explanation:
[tex] \frac{x}{3} [/tex]
Laurie Corporation uses the FIFO method in its process costing system. Department A is the first stage of Laurie Corporation's production process. The following information is available for conversion costs for the month of May for Department A:
Units Work in process, beginning (25% complete with respect to conversion costs) 8.000 Started in May 40,000 Completed in May and transferred to Department B 38,000 Work in process, ending (60% complete with respect to conversion costs) 10.000
How many are the equivalent units of production for conversion costs for the month? O
A. 42,000 units
B. 36,000 units
C. 44,000 units
D. 38,000 units
Answer:
A.
Step-by-step explanation:
42,000 units
Find the length of BC..
Answer:
45.1
Step-by-step explanation:
m<A = 51°
For angle A, BC is the opposite leg.
AB is the hypotenuse.
sin A = opp/hyp
sin 51° = BC/58
BC = 58 * sin 51°
BC = 45.1
The population of a city has increased by 27% since it was last measured. If the current population is 38,100, what was the previous population?
=___
Answer:
the previous population was 62,000.
Step-by-step explanation:
The current population of a city = 83,700
The population of a city has increased by 35% since it was last measured.
We have to calculate the previous population before increasing 35%.
Let the previous population be p
p +(35% × p) = 83,700
p + 0.35p = 83,700
1.35p = 83,700
p =
p = 62,000
Therefore, the previous population was 62,000.
The population of a city has increased by 27% since it was last measured and the previous population was 62,000.
The current population of a city = 83,700
The population of a city has increased by 35% since it was last measured.
We have to calculate the previous population before increasing 35%.
What is the meaning of population?
A population is a distinct group of individuals, whether that group comprises a nation or a group of people with a common characteristic.
Let the previous population be p
p +(35% × p) = 83,700
p + 0.35p = 83,700
p = 83,700
p = [tex]\frac{ 83,700}{1.35}[/tex]
p = 62,000
Therefore, the previous population was 62,000.
To learn more about the population visit:
https://brainly.com/question/25630111
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a two digit number divided by another two digit number,we get 3.675 what are the numbers?
Answer:
Step-by-step explanation:
I can't get the exact answer you've given, but I can tell you some things about it. The largest number in the denominator is 30 or 31. That's because 31 * 3 is 93 exactly. However the fraction is a problem and will likely push you over 100.
3.675 * 31 = 113 something. So 31 is too big.
The closes I came was 98 / 26 which is 3.769
The area of a circle is 81π cm ^2 What is the circumference, in centimeters? Express
your answer in terms of π.
Answer:
18π cm
Step-by-step explanation:
The area of a circle is πr²
The circumference of a circle is 2πr
πr² = 81π
or, r² = 81
or, r = √(81)
or, r = ±9
But r=—9 is not acceptable .
so, r = 9 cm
Circumference of the circle is
2πr
= 2π * 9cm
= 18π cm
Answer 18π cm
Melissa will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of 59 and costs an additional 0.15 per mile driven. The second plan has an initial fee of 50 and costs an additional 0.20 per mile driven. For what amount of driving do the two plans cost the same? What is the cost when the two plans cost the same?
Answer:
Step-by-step explanation:
Let
x = cost per mile
y = Total cost
Plan 1:
y = 59 + 0.15x
Plan 2:
y = 50 + 0.20x
Equate the total cost of the two plans
59 + 0.15x = 50 + 0.20x
59 - 50 = 0.20x - 0.15x
9 = 0.05x
x = 9/0.05
= 180
x = 180 miles
y = 50 + 0.20x
= 50 + 0.20(180)
= 50 + 36
= 86
y = 86
Josh has a aquarium 30 inch deep.it takes him 5 min to fill the bucket with 3 inch of water.he estimates that it will take him under an hour to fill the entire bucket with water.is he correct.explain why or why not
Answer:
No
Step-by-step explanation:
From the information provided, we can say that he is not correct. This is because the depth of the water is the only measurement that he is using to make his estimate. Comparing the depth of the aquarium and the bucket is one measurement, but both the aquarium and bucket are most likely of different shapes and sizes. Therefore, this equates to more buckets for the same amount of depth in the aquarium. To get a proper estimate on how long it will take he needs to calculate the volume of water in the bucket and compare it to the volume of water needed to fill the aquarium.
2x(9x-4)-3x(6x-7)=26
Answer: x=2
Step-by-step explanation:
[tex]2x(9x-4)-3x(6x-7)=26\\18x-8x-18x+21x=26\\10x-18x+21x=26\\-8x+21x=26\\13x=26\\x=2[/tex]
CAN YALL HELP ME PLSSS NOW I NEED IT PLS IM BEGGING ITS FOR PYTHAGOREAN THEOREM
Answer:
The answer is 97!
Step-by-step explanation:
The formula for Pythagorean Theorem is a^2+b^2=c^2. (65)^2 + (72)^2 is 9409, which has a square root of 97. Hope this helped! :)
Find the value of x for which ABCD must be a parallelogram
a. 0
b. 25
c. 4
d. 7
Answer:
d. 7
Step-by-step explanation:
A parallelogram has equal opposite sides that are parallel to each other. Therefore, opposite interior angles would be congruent to each other.
Thus:
3x - 17 = 25 - 3x
Add 3x from each side
3x - 17 + 3x = 25 - 3x + 3x
6x - 17 = 25
Add 17 to both sides
6x - 17 + 17 = 25 + 17
6x = 42
Divide both sides by 6
6x/6 = 42/6
x = 7
Answer quick tyyyyyyyyyyyyyy
Answer:
5
Step-by-step explanation:
(x+5)(x-3)=20
x=5
What is 55 increased by 10%?
Answer:
10% of 55
=> 10/100 × 55
=> 1/10×55
=> 5.5
55 increased by 10% => 55 + 5.5
=> 60.5
hope that helps ✌
Answer:
Step-by-step explanation:
10% of 55
10/100*55
1/10*55
5.5 <--- That is 10% of 55
55+5.5 = 60.5
please help me with this question
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The usual glide slope for landing is about 3°. The descent rate here of 0.25 km/min corresponds to 15 km/h. For the slope to be 3°, the forward speed of the airplane would need to be 286 km/h, about 154 knots.
This is not unreasonable for an approach speed for a (very) heavy airplane. Usually, the rate would be a little lower, but we wanted something that would fit on the grid provided.
Match the system of equations on the left with the number of solutions on the right
Answer:
top to bottom, the answers are b, c, a
Step-by-step explanation:
One way to find the solution to a system of equations is to substitute values in. For the first one,
y=2x+3
y=2x+5,
we can substitute 2x+3 =y into the second equation to get
y=2x+5
2x+3 = 2x+5
subtract 2x from both sides
3 = 5
As 3 is not equal to 5, this is never equal and therefore has no solution
For the second one,
y= 2x+7
y = (-2/3)x + 10
We can plug y=2x+7 into the second equation to get
2x + 7 = y = (-2/3)x + 10
2x + 7 = (-2/3)x + 10
add (2/3)x to both sides to make all x values on one side
2x + (2/3)x + 7 = 10
subtract 7 from both sides to make only x values on one side and only constants on the other
2x + (2/3)x = 3
(6/3)x + (2/3)x = 3
(8/3)x = 3
multiply both sides by 3 to remove a denominator
8x = 9
divide both sides by 8 to isolate x
x=9/8
There is only one value for when the equations are equal, so this has one solution
For the third one
y = x-5
2y = 2x - 10
Plug x-5 = y into the second equation
2 * y= 2*(x-5)
2 * (x-5) = 2x - 10
2x-10 = 2x-10
add 10 to both sides
2x=2x
As 2x is always equal to 2x, no matter what x is, there are infinitely many solutions for this system
what is it initial value
Find the average rate of change of a function that contains the points (-2,3) and (2,5). -2, -1/2, 1/2, 2
Answer:
The answer is "[tex]\frac{1}{2}[/tex]".
Step-by-step explanation:
Given points:
[tex](-2,3)\\\\(2,5)\\\\[/tex]
average rate=?
[tex]x_1=-2\\\\y_1=3\\\\x_2=2\\\\y_2=5[/tex]
[tex]average\ rate=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]=\frac{5-3}{2-(-2)}\\\\=\frac{5-3}{2+2}\\\\=\frac{2}{4}\\\\=\frac{1}{2}[/tex]
If A = 2m + 1 and B 2m2 - 1 + 8m, find an expression that
equals 3 A + B in standard form.
Please help
Answer:
2m² + 14m + 2
Step-by-step explanation:
3A + B
= 3(2m + 1) + 2m² - 1 + 8m ← distribute parenthesis by 3
= 6m + 3 + 2m² - 1 + 8m ← collect like terms
= 2m² + 14m + 2 ← in standard form
(3 1/3) (6) What is the answer?
Answer:
20
Step-by-step explanation:
(6x3=18) (6x1/3=2) (18+2=20)
First things first!
Multiply 6 by 3 (18).
Mulitply 6 by 1/3 (2).
Add 18 and 2, and ... *drum roll*, the final answer is 20!
Hope this helps :)
PLEASE HELP AND EXPLAIN!!
Answer:
D
Step-by-step explanation:
This isnt a cartisean coordinate plane so A is wrong. One of our points is at
[tex] - 3 + i[/tex]
Because it coincide with real number 3, and negative imaginary number i.
Conjugates are terms with opposite inverse of terms.
So our conjugates is
[tex] - 3 - i[/tex]
Can someone help me pls
Answer:
No solution
Step-by-step explanation:
A solution for a system of equations entails that all variables are the same. In this case, it means that both x and y must be the same.
Looking at the graph, there is no spot where y=3x+3 and 3x-y=2 intersect
To confirm, we can look at the equations. If we make them both equal to y, we can set them equal to each other.
For y=3x+3, this is already set to y. For 3x-y=2, we can add y to both sides and subtract 2 from both sides to get
3x-2=y
3x+3=y
Since the x and y values must be the same, we can say that
3x-2=3x+3
subtract 3x from both sides
-2 = 3
Since -2 is not equal to 3, we can confirm that there are no solutions to this system of equations
need some help with this
Answer:
A horizontal line has a slope of zero
Step-by-step explanation:
Let’s start by some examples!
We’re going to use two points that identify that a horizontal line has a slope of zero
Two points will be: (7, 4) & (7, -6)
Then use the Slope-Formula to identify the slope
Slope = change in y/change in x
Slope = (y2 - y1)/(x2 - x1)
Slope = (-6 - 4)/(7 - 7)
Slope = -10/0
Slope = 0
Therefore, a horizontal line has a slope of zero
Answer:
Zero (0)Step-by-step explanation:
Horizontal lines have no steepness at all because any calculation the slope of line means dividing zero by another number to the answer is always zero
Please solve fast. It's really easy!
Answer:
j = 10.1
Step-by-step explanation:
The difference between 9.5 and 11.3 is
11.3 - 9.5 = 1.8
This is split into 3 divisions, that is
1.8 ÷ 3 = 0.6
Then
j = 9.5 + 0.6 = 10.1
Please help me to solve these questions as soon as possible. Thank you
1) 6 is a common factor of 36 and y. Find the possible value of y.
A. 25 B. 48 C.57 D. 81
2)Which of the following shows 180 as the product of prime factors？
A. 180=2×90
B.180=2×2×45
C.180=2×2×3×15
D.180=2×2×3×3×15
Answer:
1) B, 48
2) C. 180=2x2x3x15
Step-by-step explanation:
I need help please I don't understand
Answer:
57.2
Step-by-step explanation:
This is a right triangle so we can use trig ratios.
We are asked to find a side when we know a angle adjacent to that side. And we are given a side opposite of that angle. We can use Tangent to find the side length.
[tex] \tan(40) = \frac{48}{x} [/tex]
Take the reciprocal of both sides.
[tex] \frac{1}{ \tan( 40) ) } = \frac{x}{ 48} [/tex]
Multiply both sides by 48.
[tex] x = \frac{1}{ \tan(40) } \times 48[/tex]
[tex]x = 57.2[/tex]
The definition of a circle
Answer:
a round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (the center)
Explanation:
Oxford dictionary definition
Step-by-step explanation:
a circle is a shape consisting of all points in a plane that are at a given distance from a given point the center
Five years from now peters age will be 2+3 times his current age Identify the equation represent the situation
Answer:
1.5 yrs
Step-by-step explanation:
let the present age=x
x+5=2+3x
3x-x=5-2
2x=3
x=3/2=1.5 years
Answer:
3x + 2 = x + 5.
Step-by-step explanation:
Peter is currently x years old. In 5 years, his age will be x + 5. According to the prompt, Peter's age will be 2 + 3 times his current age, x, which can be represented as 2 + 3x. 2 + 3x is the same age as x + 5, so we can represent it as...
2 + 3x = x + 5
3x - x = 5 - 2
2x = 3
x = 1.5
This means that Peter is 1.5 years old.
Hope this helps!
