Answer:
[tex]x^4+2x^3-4x-8[/tex]
Step-by-step explanation:
[tex](x^3-4)(x+2)\\\\(x^3)(x)+(x^3)(2)+(-4)(x)+(-4)(2)\\\\x^4+2x^3-4x-8[/tex]
Solve the system
of equation by
using subsitution,
Y=2x +3
x - y = -2
Answer:
The solution to this system of equations is (-1, 1).
Step-by-step explanation:
A system of equations is a "a finite set of equations for which common solutions are sought". Or, they are a pair (or more) of equations that either intersect, are parallel, or the same line. For the sake of simplicity, we are going to focus on systems of equations that intersect and only have one solution.
A solution to a system of equations that intersect is represented by a point (x, y). This makes sense because at the intersection of two points, there lies a point.
So how do we find this point? We do this by solving the system of equations. We show that there exists a point in which two lines can be satisfied simultaneously. But how can we do that? Trial and error?! Well, no. There are some ways of approaching this.
The first method is graphing. By either using an external source or doing it yourself, graphing two lines and showing where they intersect is one of the more understandable ways of solving a system of equations. The point where they cross is the solution of the system.
The second method is elimination. This is observing that a system of equations can be combined together to eliminate a variable (x or y) and solving for the other in a one-variable equation. For example, say that I have this system of equations:
x - y = 1
x + y = 1
By simply adding the two together, I get:
2x = 2
x = 1.
Since we already have x = 1, we can substitute it back into one of the original equations to get y.
1 + y = 1
y = 0.
So, the solution to this system of equations would be (1, 0). Speaking of substituting ...
The third method is substitution. This is observing that a variable (x or y) can be written in terms of the other and then using that to substitute in and make one of the equations one-variable.
y = 2x + 3
x - y = -2
We can see that y is already in terms of x in the first equation, so let's substitute y for 2x + 3 in the second equation.
x - (2x + 3) = -2
- x - 3 = -2
- x = 1
x = -1
We can substitute x back into one of the original equations.
y = 2(-1) + 3
y = -2 + 3
y = 1
Therefore, the solution to this system of equations is (-1, 1).
In the equation above, a is a constant. If the equation has the solutions x = -2 and 3 =
a
what is the value of a?
Answer:
a = 2
Step-by-step explanation:
ax² + 5x + 2 = 0
a ( - 2 )² +5 ( - 2 ) + 2 = 0
4a = 8
a = 2
the volume of this sphere is 500pi/3 cubic inches. what's it's radius
Answer:
[tex]r= 5in[/tex]
Step-by-step explanation:
[tex]\frac{500\pi }{3} =\frac{4}{3} \pi *r^{3} \\r^{3} =\frac{500}{3} *\frac{3}{4} \\r^{3}=125\\r= 5 in[/tex]
{ Bring the number into the equation }
Question 6 of 10
What is the equation of the following line? Be sure to scroll down first to see
all answer options.
10
(-4, 8)
(0,0)
-10
10
10
0
A. y = 1/2 x
B. y = 4x
0
y
c. y = - 1/2 x
D. y
E. y = 2x
F. V = -2
Answer:
Y=-2X
Step-by-step explanation:
The equation of the line that passes through points (0, 0) and (-4, 8) is
y = -2x.
Option F is the correct answer.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
To find the equation of a line given two points, we can use the point-slope form of the equation of a line:
[tex]y - y_1 = m(x - x_1)[/tex]
where m is the slope of the line and (x_1, y_1) are the coordinates of one of the points on the line.
Given the coordinates (0, 0) and (-4, 8), we can find the slope of the line:
[tex]m = (y_2 - y_1) / (x_2 - x_1)[/tex]
= (8 - 0) / (-4 - 0)
= -2
Now that we have the slope of the line, we can choose one of the points to plug into the point-slope form.
Let's use (0, 0):
[tex]y - y_1 = m(x - x_1)\\y - 0 = -2(x - 0)\\y = -2x[/tex]
Therefore,
The equation of the line that passes through points (0, 0) and (-4, 8) is
y = -2x.
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A city employee is organizing a race down Broadway, from Beale Street to Grand Avenue. There will be a water station at the beginning and end of the race. There will also be water stations along the route, with no more than one mile between stations. What is the minimum number of water stations for this race
It can be deduced from the multiplication that the minimum number of water stations for this race will be 28.
How to calculate the number of water stationsYour information isn't complete as the figures aren't provided. Therefore, an overview will be given.
In this case, let's assume that there are 14 routes and that there will be a water station at the beginning and end of the routes.
From the scenario, if the racers are to run through all the routes, the number of water stations will be the value of 14 multiplied by 2. This will be:
= 14 × 2 = 28
In conclusion, the correct option is 28.
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What is 1942 divided by 33
Answer: 58.84
Step-by-step explanation: If you use a calculator that's the nroken down part.
Riley’s Rug Warehouse purchases rugs from the manufacturer for $82.00 each. The manager marks the rugs up 150% and then includes a 10% sales tax. How much does a customer pay for 1 rug? (I ALREADY KNOW THE ANSWER. BUT I NEED THE WORK FOR THE ANSWER TO SHOW MY TEACHER) (the answer is $225.50)
82+82*1.5=205
205+205*0.1=$225.50
6 x 2 7 x 2 8 x 2 3 x 3
[tex]6 \times 27 \times 28 \times 23 \times 3 = 312984[/tex]
Answer:
312984
Step-by-step explanation:
To solve the equation 6 x 27 x 28 x 23 x 3, you can follow these steps:
Start by multiplying the first two numbers: 6 x 27 = 162.
Then multiply the result by the next number: 162 x 28 = 4536.
Continue multiplying by the next number: 4536 x 23 = 104328.
Finally, multiply by the last number: 104328 x 3 = 312984.
The final result is 312984
Last Saturday, Ben and Dominic set up a lemonade stand to help their grandmother use
the lemons from her trees. They used 2 lemons for each cup of lemonade. By the end of the
day, the boys had sold 21 pitchers of lemonade. If each pitcher held 9 cups, how many
lemons did Ben and Dominic use?
Answer:
378 Lemons
Step-by-step explanation:
Because you use 2 lemons for every cup, you first need to find how many lemons per pitcher by multiplying 9 by 2 to get 18, so 18 lemons per pitcher, then multiply that by 21 because that's the total amount of pitchers to get 378 lemons
which statement best explains whether y= 3x + 5 is a linear or non linear function( 50 POINTS) HURYY PLSS
Answer:
C the 3rd one
Step-by-step explanation:
that's the best explanation for me. I'm sorry if I'm wrong I wish you luck
500+6 (3+1)+(8-5) 3-2 (5+4)
Answer:
551
Step-by-step explanation:
500+6(4)+3(1)(5+4)
500+24+3(9)
524+27
551
Brainliest is much appreciated
Answer:
515, just evaluated it
True or false: The function shown is not discrete because the domain is a finite set.
Answer:
false
Step-by-step explanation:
the domain can be discrete or continuous
What is the area of this polygon
A=220 cm^2
A=242 cm^2
A=248 cm^2
A=270 cm^2
Answer:
A = 220 cm²
Step-by-step explanation:
Area of a rectangle = width x heightArea of a triangle = 1/2 x base x heightArea of the rectangle = 11 x 18 = 198 cm²
Area of the triangle = 1/2 x (18 - 7) x (15 - 11) = 22 cm²
Therefore, area of the polygon = 198 + 22 = 220 cm²
Answer:
220 is The Correct Answer
Letter Choice (A)
Step-by-step explanation:
HERE'S MY PROOF AND MY RESEARCH
Area of a rectangle = width x height
Area of a triangle = 1/2 x base x height
Area of the rectangle = 11 x 18 = 198 cm²
Area of the triangle = 1/2 x (18 - 7) x (15 - 11) = 22 cm²
Therefore, area of the polygon = 198 + 22 = 220 cm²
(Please someone help me!) (No links!)
Theo wants to use a cookie recipe that makes 36 cookies but he wants to reduce the number of cookies to 24. If the recipe specifies using 4.5 cups of flour, how much flour should he use?
Answer:
3 cups
Step-by-step explanation:
[tex]36 : 24 = 4.5 : x[/tex]
where [tex]x[/tex] is the amount of flour he should use
Therefore,
[tex]\frac{36}{24} = \frac{4.5}{x}[/tex]
Cross multiply: [tex]36x = 4.5 \times 24[/tex]
[tex]\implies 36x = 108[/tex]
Divide both sides by 36: [tex]x = 108 \div 36 = 3[/tex]
Therefore, he should use 3 cups of flour
Write an equation for a line parallel to y=-3x + 11 and goes through the point (2,4)
Answer:
equation: y = -3x + 10
Step-by-step explanation:
y = -3x + 11
comparing the formula, y = mx + b
We can determine the slope is -3 and y-intercept is 11.
if the line passes (2,4)
use the formula:
y - y1 = m(x - x1)
y - 4 = -3(x - 2)
y = -3x + 6 +4
y = -3x + 10
en una clase de 2 de la eso hay el doble de chicas que de chicos. Si hay 30 alumnos, ¿cuantos chicos y chicas hay en clase?
hay que hacerlo mediante ecuaciones plis que alguien me ayude(todos las operaciones pls)
which one is greater 7,-7
Answer:
The 7 is the answer dear 7 is greater
Answer:
7 of course.
Step-by-step explanation:
Anything negative will always be smaller then a non-negative. It's like having a friend younger then you that will never be older. Could i get brainliest :D
HELP Solve for w x and y
Step-by-step explanation:
take ∆PRT
angle prt = 30°(||sides, traversal, opp angles)
angle ptr = 45+y(|| sides, opp angles)
x+30+45+y = 180
x+y = 180-75= 105
x= 105-y
take triangle zrt
angle zrt =30(parallel sides and traversal with opp angles)
angle ztr = y(parallel lines)
30+y+w = 180
w = 150-y
angle pzt+azr = 360-300+2y=60+2y
pzt= 30+y
triangle pza
30+y + 45+30= 180
y = 180-105=75
w = 75
x=30
SOMEONE HELP PLEASEE
Answer:
x = 16 sin 38
Step-by-step explanation:
sin 38 = x/16
Multiply both sides by 16.
16 × sin 38 = x
x = 16 sin 38
Answer:
A. 9.9Step-by-step explanation:
sin 38° = x / 16x = 16 sin 38°x = 9.9 (rounded)x + y =7 What is the answer show your work
Answer:
x = 3y = 4.There are infinite solutions. I'll just give you this solution.Step-by-step explanation:
Given equation:
x + y = 7Solve for variables:
7 - x = y7 - 3 = 47 - y = x7 - 4 = 3.Answers:
x = 3y = 4.please help me to solve this problem
Answer:
1/x+2
Step-by-step explanation:
1/x−2 + 4/4-X^2
Factor 4−x^2
1/x−2 + 4/(x−2)(−x−2)
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x−2 and (x−2)(−x−2) is (x−2)(−x−2).
Multiply : 1/x−2 TIMES −x−2/−x−2
−x−2/(x−2)(−x−2) + 4/(x−2)(−x−2)
Since −x−2/(x−2)(−x−2) and 4/(x−2)(−x−2) have the same denominator, add them by adding their numerators.
−x−2+4/(x−2)(−x−2)
Combine like terms in −x−2+4.
−x+2/(x−2)(−x−2)
Extract the negative sign in −x+2.
−(x−2)/(x−2)(−x−2)
Cancel out x−2 in both numerator and denominator.
1/X-2
2 of 10
Find the area of this semi-circle with radius, r = 95cm.
Give your answer rounded to 1 DP.
rcm
The diagram is not drawn to scale.
cm2
What is 45 minutes before 2:15
Answer:
1:30
Step-by-step explanation:
45 min = 15 min + 30 min
15 min before 2:15 is 2:00.
30 min before 2:00 is 1:30.
Two poles meet at the top of the teepee. The angle at which they meet is equal to twice the complement of the angles that the poles form with the ground. What is the measure of the angle at which the two poles meet at the top of the teepee
The measure of the angle at which the poles meet at the top of the tepee is 180 degrees
Complementary anglesComplementary angles are angles which sum is equals to 90 degrees. Two angles complement each other when there sum is 90 degrees.
The two poles meet at the top of the tepee.
The angle at which they meet is equals to twice the complement of the angles that the poles form with the ground. Therefore,
Complement of the angles that the poles form on the ground = 90°
Then the measure of the angle at which the poles meet at the top of the tepee is as follows:
2(90) = 180°Therefore, the measure of the angle at which the poles meet at the top of the tepee is 180 degrees
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The expression 17n + 11 represents the perimeter of the triangle.
Answer:
8n
Step-by-step explanation:
The third side of a triangle whose perimeter is 17n + 11 and the other two sides are (5n + 6) and (4n + 6) is 8n
Which polynomial is represented by the algebra tiles? 2x2 – 4x – 6 2x2 4x 6 –2x2 – 4x – 6 –2x2 4x 6.
Polynomials consist of both indeterminates and coefficients. The polynomial that is been represented by the algebra tiles is 2x²-4x -6.
What are polynomials?A polynomial consists of both indeterminates and coefficients and involves mathematical operations such as addition, subtraction, multiplication, and division.
In order to find the polynomial that is been represented by the tiles, we will simply, calculate the number of tiles for each variable,
As we can see in the image,
Number of tiles labeled as x² = 2
Number of tiles labeled as -x = 4
Number of tiles labeled '-' = 6
therefore, the polynomial can be written as 2x²-4x -6.
Hence, the polynomial that is been represented by the algebra tiles is 2x²-4x -6.
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Answer:
A. 2x2 – 4x – 6
Step-by-step explanation:
A pool manager balances the pH level of a pool. The price of a bucket of chlorine tablets is $90, and the price of a pH test kit is $11. The manager uses a coupon that applies a 40% discount to the total cost of the two items. How much money does the pool manager pay for each item?
Answer:
The pool manager pay for each item is $60.6.
Step-by-step explanation:
Given:
A pool manager balances the ph level of a pool.
The price of a bucket of chlorine tablets is $90, and the price of a ph test kit is $11.
The manager uses a coupon that applies a 40% discount to the total cost of the two items.
Now, to find the money the pool manager pay for each item.
The price of a bucket of chlorine tablets is = $90.
The price of a ph test kit = $11.
So, to get the total price of both items we add both prices:
Total cost of two items = $101.
As, given a coupon that applies a 40% discount to the total cost of the two items.
Now, to get the total cost by applying discount:
Thus, the pool manager pay = $60.6.
Therefore, the pool manager pay for each item is $60.6.
HELP FAST. ILL GIVE BRAINLIST. 100 pts for each answer.
The least common denominator is used to find equivalent fractions. First, determine the missing factor by dividing the least common denominator by the original denominator.
Answer:
See belowStep-by-step explanation:
Equivalent fractions obtained when the fraction is multiplied by a fraction with same numerator and denominator:
5/12 = 5/12 × 12/12 = 60/1447/16 = 7/16 × 9/9 = 63/1441/18 = 1/18 × 8/8 = 8/144i need help 30 pionts if u help me!!!!
a 65 foot ladder is leaning against a well. Its lower end is 25 feet away from the wall. How much farther away will it be if upper end is moved down 8 feet?
=====================================================
Explanation:
Check out the diagrams below.
We'll start with the left diagram (marked "before") which is a right triangle with the horizontal leg of 25 feet and hypotenuse 65 feet.
Use the pythagorean theorem to find the vertical side x.
a^2 + b^2 = c^2
25^2 + x^2 = 65^2
625 + x^2 = 4225
x^2 = 4225 - 625
x^2 = 3600
x = sqrt(3600)
x = 60
The top of the ladder is 60 feet high when placed against the wall in this configuration.
------------------
If the upper end is moved down 8 feet, then x-8 = 60-8 = 52 feet is the new height of the ladder. Refer to the "after" in the diagram below.
Like earlier, we'll use the pythagorean theorem to find the missing side.
a^2 + b^2 = c^2
y^2 + 52^2 = 65^2
y^2 + 2704 = 4225
y^2 = 4225 - 2704
y^2 = 1521
y = sqrt(1521)
y = 39
The horizontal distance from the ladder base to the wall is now 39 feet.
Earlier it was 25 feet, so it has increased by 39-25 = 14 feet.