Answer:
x=-12, y = 4
Step-by-step explanation:
-x-y=4
x+2y=4
Add the equations together to eliminate x
-x-y=4
x+2y=4
----------------
0x + y = 8
y = 8
Now find x
x + 2y = 4
x +2(8) = 4
x +16 = 4
x = 4-16
x = -12
The following graph represents the equation y=-3/2x+3?
Please select the best answer from the choices provided.
TRUE OR FALSE
Answer:
yes
Step-by-step explanation:
arrange these numbers in order of size from smallest to largest 2.64 21.3 12.35 12.06 2.8 2.09
Answer:
2.09,2.64,2.8,12.06,12.35 and 21.3
Step-by-step explanation:
Use the substitution method to solve the system of equations. Choose the correct ordered pair.
Answer:
The ordered pair is(6,2)
Step-by-step explanation:
2x+2y=16_equation1
y=x-4_equation 2
isolate y in(2x+2y=16)
2y=16-2x
divide both sides by 2
y=8-x
substitute y into equation 2
8-x=x-4
8+4=2x
12=2x
divide both sides by 2
x=6
substitute x into equation 1
2(6)+2y=16
12+2y=16
2y=16-12
2y=4
divide both sides by 2
y=2
Need help with this question please:
Answer:
If the data is collected in a biased manner, or the number of observations is too small, the graph could be skewed. To ensure the data is not skewed, collect a large representative unbiased sample. Hope this helps
Step-by-step explanation:
Given the system of linear equations. x=y+3 y=-4x-3 Part A: Solve the linear system of equations by graphing Part B: Use substitution to solve the linear system of equations Part C: Use addition to solve the linear system of equations In your final answer, include all of your work, the graph of the equations and the solution.
Answer:
see below
Step-by-step explanation:
x=y+3
Subtract 3 from each side
x-3 = y
y = x-3
y=-4x-3
We have both equations in slope intercept form
y = mx +b where m is the slope and b is the y intercept
graph is below
They both have the same y intercept so they intersect at (0,-3)
Substitution
x=y+3
y=-4x-3
Substitute the second equation into the first equation
x=y+3
x = -4x-3 +3
x = -4x
Add 4x to each side
5x =0
x=0
y = -4x-3
y = 0-3
y = -3
(0,-3)
Additon
x=y+3
Subtract y from each side
x-y = 3
y=-4x-3
Add 4x to each side
4x+y =-3
Add the equations together to eliminate y
x-y = 3
4x+y =-3
-----------------
5x +0y =0
5x = 0
x=0
Now solve for y
y = -4x-3
y = 0-3
y = -3
(0,-3)
Answer:
The linear vertion of 26
Step-by-step explanation:
Lina is making a trail mix of a hiking trip. She has 2 1/2 cups of peanuts, 3 1/4 cups of raisins, and 2 2/3 cups of banana chips. How many cups of trail mix can she make? Please answer this if you want too.
Answer: 8 cups of trail mix
Step-by-step explanation: Convert 2 1/2, 3 1/4, and 2 2/3 to decimals—2.5, 3.25, and 2.67. Then add them together to get 8.42. You need to round to 8, because you can only have a exact numbers of cups.
Hope this helps:)
and what is distance jeremy jumps from the ramp to the fire escape is _______ feet (round to the nearest tenth of a foot)
Answer:
sin(70°) =10/x
The distance Jeremy jumps from the ramp to the fire escape is 10.6 feet
Step-by-step explanation:
From the question shown in the picture attached, the vertical height Jeremy has to jump is: 15 - 5 = 10 ft
A right triangle is formed, where the angle between the hypotenuse (called x) and one of the legs is: 160° - 90° = 70°, and the vertical height Jeremy has to jump, is the leg opposite to that angle.
From sine definition:
sin(70°) = opposite/hypotenuse
sin(70°) = 10/x
x = 10/sin(70°)
x = 10.6 ft
At 4 p.m., the temperature started to change drastically. Each hour, for three hours, the temperature decreased by 7°F. Which expression best shows another way to write the product for the temperature change?
Answer:
(-1)(7+7+7)
Step-by-step explanation:
I got it right on the test
How many terms uririei
Answer:
fkdoekenrnfrkdoki
Step-by-step explanation:
haha dokie
Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(2, -3), B(4, -3), C(4,5), and D(2,5) What is the perimeter of rectangle ABCD
Answer:
20
Step-by-step explanation:
(2,-3) to (4,-3) = 2
(4,-3) to (4,5) = 8
(4,5) to (2,5) = 2
(2,5) to (2,-3) = 8
Total =20
Answer:
20
Step-by-step explanation:
khan said so trust me
A factory can work its employees no more than 5 days a week, and no less than 2 days per
week. Create an inequality to represent the range of days an employee can work. Solve the
inequality to determine the range in hours. Show all of your work.
Answer: A.) 2 <= X <= 5
B.) 48 < = X < = 120
Step-by-step explanation:
Given that a factory can work its employees no more than 5 days a week, that is, less than or equal to 5 days a week
And also, no less than 2 days per week. That is, greater than or equal to 2 day a week.
Let X represent the number of days an employee can work per week.
According to the first statement,
X < = 5
According to the second statement,
X >= 2
An inequality to represent the range of days an employee can work will be
2 < = X <= 5
To represent the range in hours, first convert the number of days to hour
1 day = 24 hours
2 days = 2 × 24 = 48 hours
5 days = 5 × 24 = 120 hours
Therefore, the range will be
48 < = X < = 120
I need help with this please....Thanks
Answer:
The total cost of redecoration is £66, that is less than £75. Tenant can decorate the room for the budget set.
Step-by-step explanation:
Lets start calculating the areas of shorter and longer walls.
The area of shorter wall is
2.65m*2.98m=7.897m^2.
The area of longer wall is
3.94m*2,65m=10.441m^2.
Together the area of one long and one short wall is
7.897m^2+10.441m^2=18.338m^2.
The area to be painted ( one short and one long wall) is 18.338m^2 that is less than 30m^2, and hence only one tin of paint is needed (costs £16).
If there is assumed that the sheets of wallpaper must be whole from floor to ceiling, the calculations are following.
We get from one roll
10m/2.65m=3.77 sheets; we can use only 3 of them
The width of the walls is 3,94m+2,98m=6,92m,
and division gives 6.92m/0.52m=13,3... .
Hence it requires 14 sheets, that is 5 rolls of wallpaper.
Wallpaper costs 5*£10=£50 and altogether it is needed £50+£16=£66 to redecorate the room.
Let T(x)=−6x4+x2−1 ....
Answer:
D is the correct answer.
Step-by-step explanation:
Distribute (−6x^4 + x^2 − 1)(2x^3 - 4x + 3)
-12x^7 + 24x^5 - 18x^4 + 2x^5 - 4x^3 + 3x^2 - 2x^3 + 4x - 3
Combine Like Terms
-12x^7 + 26x^5 - 18x^4 - 6x^3 + 3x^2 + 4x - 3
the dead sea is at an elevation of -1,360 feet. A seabirds flying over the dead sea at an elevation of -422 feet. if the bird lands on the dead sea, what will be its change in elevation
Answer:
- 938
Step-by-step explanation:
We can change these to positive just so its easier to work with
So 1360 - 422 = 938
since they are going down you just have to change the number to a negative.
The change in elevation is 938 feet.
To find the change in elevation.
What is elevation?The action or fact of raising or being raised to a higher or more important level, state, or position. Elevation is distance above sea level. Elevations are usually measured in meters or feet. They can be shown on maps by contour lines, which connect points with the same elevation; by bands of color; or by numbers giving the exact elevations of particular points on the Earths surface.
Given that:
Dead sea is at an elevation = -1,360 feet.
seabirds flying over the dead sea at an elevation =-422 feet.
Although when you have 2 negative numbers in a subtraction-elevation problem, the elevation difference won't be negative.
So, difference between the depth and the surface of the dead sea
= Dead sea is at an elevation - seabirds flying over the dead sea at an elevation
=-1360-(-422)
=-938 feet.
But that would just describe a regular negative subtraction problem, so it becomes 938 feet.
This answer is positive since it describe the distance between these integers.
So, the change in elevation is 938 feet.
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Determine the value of in, in each of the following cases, where n represents all positive integer values.
Answer:
I need more info.
Step-by-step explanation:
State whether the following statements are True or False:
a)The sum of 2 and p is 2p.
b)A trinomial can be a polynomial.
Answer:a)false.
Sum of 2and p is=2+P
=2+p [since,the value of p is unknown]
Step-by-step explanation:
a) False. The sum of 2 and p is 2+p. We don't have any like terms to combine, so we leave this as is. The sum of two (or more) items is the result of adding them. The expression 2p is the result of multiplying 2 and p. If it said "the product of 2 and p is 2p", then it would be a correct statement.
b) True. Any trinomial is a polynomial, but not the other way around. A polynomial has us sum many monomial terms. A trinomial is a special type of polynomial with exactly 3 terms being added.
Find the slope of line p.
simplify each expression using the proper order of operations. please help thank you so much :)
[tex]\frac{41 - 3^2}{\sqrt{36}* 3 - 26 }[/tex]= ?
12 + [tex]{3} \sqrt{8}[/tex]*(9-2)= ?
[tex]\frac{28-(7^2+3)}{-13+3*5}[/tex]= ?
[tex]\frac{28}{4}[/tex] -[tex]\sqrt[3]{8}[/tex]* [tex]\frac{2}{3}[/tex]= ?
7^2 - 5* 8+1= ?
(2* [tex]\sqrt{16}[/tex]) -([tex]\sqrt[3]{27}[/tex]* [tex]\sqrt{81}[/tex]) + 7= ?
Answer:
[tex]\frac{41 - 3^2}{\sqrt{36} * 3 - 26} = -4[/tex]
[tex]12 + 3\sqrt{8} * (9 - 2) = 12 + 42 \sqrt{2}[/tex]
[tex]\frac{28 - (7^2 + 3)}{-13 + 3 * 5} = -12[/tex]
[tex]7^2 - 5* 8+1 = 10[/tex]
[tex](2 * \sqrt{16}) - (\sqrt[3]{27} * \sqrt{81}) + 1 = -18[/tex]
Step-by-step explanation:
Required: Solve the expressions using proper operation order
To solve this, we'll make use of BODMAS
--------------------------------------------------------------------------------------------------------
[tex]\frac{41 - 3^2}{\sqrt{36} * 3 - 26}[/tex]
Evaluate all squares and square roots
[tex]\frac{41 - 3*3}{\sqrt{36} * 3 - 26}[/tex]
[tex]\frac{41 - 3*3}{6 * 3 - 26}[/tex]
Evaluate the numerator (Start by multiplying 3 * 3)
[tex]\frac{41 - 9}{6 * 3 - 26}[/tex]
Subtract 9 from 41
[tex]\frac{32}{6 * 3 - 26}[/tex]
Evaluate the denominator (Start by multiplying 6 * 3)
[tex]\frac{32}{18 - 26}[/tex]
[tex]\frac{32}{-8}[/tex]
Divide 32 by -8
-4
Hence;
[tex]\frac{41 - 3^2}{\sqrt{36} * 3 - 26} = -4[/tex]
--------------------------------------------------------------------------------------------------------
[tex]12 + 3\sqrt{8} * (9 - 2)[/tex]
Start by evaluating the bracket
[tex]12 + 3\sqrt{8} * 7[/tex]
Then evaluate the multiplication
[tex]12 + 21\sqrt{8}[/tex]
Simplify the square root
[tex]12 + 21\sqrt{4 * 2}[/tex]
Split the square root
[tex]12 + 21\sqrt{4} * \sqrt{2}[/tex]
Take Square root of 4
[tex]12 + 21 * 2} * \sqrt{2}[/tex]
[tex]12 + 42 \sqrt{2}[/tex]
Hence;
[tex]12 + 3\sqrt{8} * (9 - 2) = 12 + 42 \sqrt{2}[/tex]
--------------------------------------------------------------------------------------------------------
[tex]\frac{28 - (7^2 + 3)}{-13 + 3 * 5}[/tex]
Evaluate 7²
[tex]\frac{28 - (49 + 3)}{-13 + 3 * 5}[/tex]
Evaluate all expression in the bracket
[tex]\frac{28 - (52)}{-13 + 3 * 5}[/tex]
[tex]\frac{28 - 52}{-13 + 3 * 5}[/tex]
Evaluate 3 * 5
[tex]\frac{28 - 52}{-13 + 1 5}[/tex]
[tex]\frac{-2 4}{2}[/tex]
[tex]-12[/tex]
Hence;
[tex]\frac{28 - (7^2 + 3)}{-13 + 3 * 5} = -12[/tex]
--------------------------------------------------------------------------------------------------------
[tex]7^2 - 5* 8+1[/tex]
Evaluate 7²
[tex]49 - 5* 8+1[/tex]
Evaluate 5 * 8
[tex]49 - 40 + 1[/tex]
[tex]10[/tex]
[tex]7^2 - 5* 8+1 = 10[/tex]
--------------------------------------------------------------------------------------------------------
[tex](2 * \sqrt{16}) - (\sqrt[3]{27} * \sqrt{81}) + 1[/tex]
Evaluate all square root and cube root
[tex](2 * 4) - (3 * 9) + 1[/tex]
Solve the expressions in bracket
[tex]8 - 27 + 1[/tex]
[tex]-18[/tex]
Hence;
[tex](2 * \sqrt{16}) - (\sqrt[3]{27} * \sqrt{81}) + 1 = -18[/tex]
PLEASE HELP! 10 POINTS!The graphs of f(x) and g(x) are shown below:
What are the solutions to the equation f(x) = g(x)?
Ox= -3,4
x = -4.2.5
X = -0.8, 2.5
X = 8.-8
Answer:
x = -4, 2.5
Step-by-step explanation:
To find the solution, look for the points where the line crosses the parabola. As this question only asks for the x-values, find the distance to the left and right of the y-axis. Here, it's -4 on the left and 2.5 on the right.
The length of a rectangular pool is 4yds longer than twice the width. If the area is 70 square yards, find the dimensions.
Answer: Found it by web and solving
Step-by-step explanation: L = W + 4
LW = 60
---
LW = 60
(W + 4)W = 60
W^2 + 4W + (-60) = 0
---
above is in quadratic equation form: ax^2 + bx + c = 0
---
use the quadratic formula to solve for two solutions:
x = ( -b +- sqrt( bb - 4ac ) ) / 2a
---
the two solutions are:
W = 6
W = -10
the negative solution doesn't make sense for length, so use the positive solution.
---
L = 10
W = 6
10 rubber stamps cost $10.30 Which equation would help determine the cost of 2 rubber stamps?
The cost of 2 rubber stamps is $2.
We have given that rubber stamps cost $10.30
we have determined the cost of 2 rubber stamps.
We have to find the price per stamp.
What is the formula for the value price of one stamp?[tex]1 samp price=\frac{cost for all stamp }{total number of stamp}[/tex]
Therefore we get,
10.30/10 = 1.03 per stamp
For two stamps:
1.03 x 2 = $2.06 for two
=$2.06
=$2
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what is 10x^5 ÷ x^2
Answer:
The quotient of 10x⁵ ÷ x² equals to 10x³
Step-by-step explanation:
In the problem, we are asked to find the quotient of 10x⁵ ÷ x². The rule of exponents is when you are dividing exponents, you subtract the exponential numbers. So, you would subtract 5 by 2 because those are our exponential values.
So, 10x⁵ ÷ x² equals 10x³
True or false? It's possible to create a regular tessellation with a regular octagon.
It is possible to create a regular tessellation with a regular octagon, is false.
What is regular tessellation?A tessellation or tiling is the seamless covering of an area, frequently a flat, including one or much more geometric forms, known as tiles.
It is impossible to create a regular tessellation with a regular octagon because when an octagon is arranged, a gap is there.
Then the statement is false.
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PLEASE ANSWER ASAP!! e)What is the measure of ∠I? Explain
Answer:
[tex]60^{\circ}[/tex]
Step-by-step explanation:
From the given figure it is clear that the stop board is a regular hexagon and ∠I is an exterior angle of the regular hexagon.
Exterior angle of a regular polygon with n sides [tex]=\dfrac{360^{\circ}}{n}[/tex]
In a regular hexagon number of sides: n =6
Exterior angle of a regular hexagon [tex]=\dfrac{360^{\circ}}{6}=60^{\circ}[/tex]
Since ∠I is an exterior angle of the regular hexagon, therefore, [tex]\angle I=60^{\circ}[/tex].
Answer:
Answer:
60
Step-by-step explanation:
From the given figure it is clear that the stop board is a regular hexagon and ∠I is an exterior angle of the regular hexagon.
Exterior angle of a regular polygon with n sides
In a regular hexagon number of sides: n =6
Exterior angle of a regular hexagon
Since ∠I is an exterior angle of the regular hexagon, therefore, . is 60
Step-by-step explanation:
Question 14 (1 point)
Saved
If f(x) = x2 + 5, f(-3) =
14
15
O 1) -
17
18
2-4
20
21
3) 14
O 4) 11
23
24
O 5)-11
Answer:
-6
Step-by-step explanation:
The median of the list n, n + 2, n+3, n+5, n+7, n+8, n+11, n+14, n+16, n+19 is 20. What is the mean?
Answer:
16
Step-by-step explanation:
The median is the average of n + 7 and n + 8 which is n + 7.5. This means that n + 7.5 = 20 so n = 12.5. The average (or mean) is the sum of terms divided by the number of terms. The sum is 10n + 85 and the number of terms is 10, We know that n = 7.5 so the answer is 10 * 7.5 + 85 / 10 = 75 + 85 / 10 = 160 / 10 = 16.
Answer:
21
Step-by-step explanation:
To find the median of the given set, you narrow the options down and get n+7 and n+8 as the middle numbers. The average of those two is n+7.5, so that's the median.
n+7.5=20
n=12.5
Substitute n into the values.
12.5, 14.5, 15.5, 17.5, 19.5, 20.5, 23.5, 26.5, 28.5 and 31.5.
Add everything together to get 210. Divide 210 by 10, the number of values, and you end up with 21.
Which of the following is the slope of line perpendicular to the y= -2/3x + 5? A.2/3 B.3/2 C.-2/3 D.-3/2
Answer:
+3/2 (Answer B)
Step-by-step explanation:
If the slope of a given line is m, then the slope of any line perpendicular to this given line is the negative reciprocal of the slope of the latter:
-1
------------ = +3/2 (Answer B)
-2/3
You start at (2, 7). You move up 3 units. Where do you end?
Answer:
(2, 10)
Step-by-step explanation:
Since we are only focusing on vertical movement, we are looking at the y-value. We are moving up 3 units, so we just add 3 to 7 to get 10.
Answer:
2,10
Step-by-step explanation:
The X-axis goes horizontally, and the Y-axis goes vertically, and when doing these coordinate like things, the X-axis goes first, and the Y-axis goes second. So 2 is the X-axis, and 7 is the Y-axis. So if you have to move up 3 units, you have to add 3 to 7, because 7 is vertical and 2 is horizontal.
How old will Alyssa be when she is three times younger than her mom? Alyssa is 10.
Please answer this question now
Answer:
(8,1)
Step-by-step explanation:
Answer:
The midpoint is (8,1)
Step-by-step explanation:
To find the midpoint take the average of the x coordinates and the average of the y coordinates
x= (x1+x2)/2 and y = (y1+y2)/2
x = (-3+19)/2 = 16/2 = 8
y = (-12+14)/2 = 2/2 = 1
The midpoint is (8,1)