Answer:
D. X=6.08, x=-0.58
Step-by-step explanation:
Given the rational expression
[tex]\frac{2x}{x-4}-\frac{2x-5}{x^2-10x+24} = \frac{-3}{x-6}\\\frac{2x}{x-4}-\frac{2x-5}{x^2-4x-6x+24} = \frac{-3}{x-6}\\\frac{2x}{x-4}-\frac{2x-5}{x(x-4)-6(x-4)} = \frac{-3}{x-6}\\ \\\frac{2x}{x-4}-\frac{2x-5}{(x-4)(x-6)} = \frac{-3}{x-6}\\Rerrange;\\\frac{2x-5}{(x-4)(x-6)} = \frac{2x}{x-4}+ \frac{3}{x-6}\\\frac{2x-5}{(x-4)(x-6)} = \frac{2x(x-6)+3(x-4))}{(x-4)(x-6)}\\[/tex]
Cancel out the denominator on both sides
[tex]2x-5 = 2x(x-6)+3(x-4)\\Expand\\2x-5 =2x^2-12x+3x-12\\2x-5 = 2x^2-9x-12\\Equate \ to \ zero\\2x^2-9x-12-2x+5 = 0\\2x^2-11x - 7 = 0\\[/tex]
Factorize
[tex]x = -(-11)\pm\frac{\sqrt{(-11)^2-4(2)(-7)} }{2(2)}\\x = 11\pm\frac{\sqrt{121+56} }{4}\\x = 11\pm\frac{\sqrt{177} }{4}\\x = 11\pm\frac{13.3 }{4}\\x = \frac{11+13.3}{4} \ and \ x = \frac{11-13.3}{4} \\x = 6.08 \ and \ - 0.58[/tex]
Hence the required solution is X=6.08 and -0.58
Which of the following represents the quadratic function f (x) = 5(x − 2)2 − 7 in standard form?
Answer:
f(x) = 10x - 27. I can't find the answer anywhere
Step-by-step explanation:
I need help with this NO LINKS REAL ANSWERS!!!!!
Will give Brainliest
Lucia compro 12 pares de media a 60 pesos cada una 7 remeras a 156 pesos cada una y 2 pantalones a 350 pesos cada uno.Si pago con 3000 pesos¿le sobro o le falto dinero?¿cuanto?
Answer:
A Lucia le sobró dinero y la cantidad que sobró es: 488 pesos.
Step-by-step explanation:
Para determinar si le faltó o le sobro dinero, debes determinar el costo total de lo que compró multiplicando el precio de cada artículo por la cantidad comprada y sumando estos valores:
(60*12)+(156*7)+(350*2)=720+1092+700=2512
Dado que pagó con 3000 pesos y el costo total de lo que compró es de 2512 pesos y este valor es menor que 3000 en 488 pesos, la respuesta es que le sobró dinero.
what is 3/8 plus negative1/2
Answer:
-1/8
Step-by-step explanation:
write all numerators above the least common denominator 8
3-4/8
calculate the product
-1/8
Answer:
negative 1/8 or 0.125
Step-by-step
-1/2 cancells out the plus, so it is just 3/8 - 4/8 = -1/8
Use the given function to find the indicated value(s) of x. (Enter your answers as a comma-separated list.)
For f(x) = √2x + 2 − √x + 18, find x such that f(x) = −1.
Answer:
For f(x) = √(2·x + 2) - √(x + 18), at f(x) = -1 the possible x-values includes;
-0.757, -17.5
Step-by-step explanation:
Given that the function is f(x) = √(2·x + 2) - √(x + 18)
The value of 'x' when f(x) = -1, is given as follows;
-1 = √(2·x + 2) - √(x + 18)
-1² = (√(2·x + 2) - √(x + 18))² = 3·x + 20 - 2·√(2·x + 2)×√(x + 18)
1 = 3·x + 20 - 2·√(2·x + 2)×√(x + 18)
2·√(2·x + 2)×√(x + 18) = 3·x + 20 - 1 = 3·x + 19
2·x² + 38·x + 36 = (3·x + 19)/2
2·x² + 38·x + 36 - (3·x + 19)/2 = 0
4·x² + 73·x + 53 = 0
From which we get;
x = (-73 ± √(73² - 4 × 4 × 53))/(2 × 4)
x ≈ -0.757, and x ≈ -17.5
So I have to factor polynomials by grouping
The question: 2m^3-2m^2+3-3m
The answer is supposed to be: (2m^2-3)(m-1)
I do need steps
Thx
Answer:
(2m^2-3)(m-1)
Step-by-step explanation:
2m^3-2m^2+3-3m
2m^3-2m^2-3m+3
2m^2(m-1)-3(m-1)
(2m^2-3)(m-1)
Answer:
(2m^2-3)(m-1)
Step-by-step explanation:
2m^3-2m^2+3-3m
=(2m^3-2m^2)+(3-3m)
=2m^2(m-1)+3(1-m)
=(m-1)(2m^2-3)
=(2m^2-3)(m-1)
mples: Find the area of
16 ft
Answer:
201.1
Step-by-step explanation:
πx8²=201.1
prove that 7^N+5 is divisible by 6
Answer:
12/6=2
Step-by-step explanation:
If you set n=∞ it approaches zero
Therefore [tex]7^0+5=12[/tex]
please help me with this
Answer:
x = number of cards that cost $2.50 each = 5
y = number of cards that cost $3.25 each = 1
Step-by-step explanation:
The equations are:
x + y = 6 (1)
2.5x + 3.25y = 15.75 (2)
From (1)
x = 6 - y
Substitute x = 6 - y into (2)
2.5x + 3.25y = 15.75 (2)
2.5(6 - y) + 3.25y = 15.75
15 - 2.5y + 3.25y = 15.75
- 2.5y + 3.25y = 15.75 - 15
0.75y = 0.75
y = 0.75/075
y = 1
Substitute y = 1 into (1)
x + y = 6
x + 1 = 6
x = 6 - 1
x = 5
Therefore,
x = number of cards that cost $2.50 each = 5
y = number of cards that cost $3.25 each = 1
HELP ASAP (please no link or reported) will give brainleast!!!
Answer: SA=33ft^2
have an amazing day <3
PLZZZ HELPPPP WILL MARK BRAINLIEST
Answer: 1
Heres why: If you subtract the 1 from 2 you get 1
What’s 1+1
A:2
B:21
C:69
D:420
Answer:
2 because 1 is the smallest number so if you add 1 and 1 then that is 2
Answer:
ITS 2.
Step-by-step explanation:
So if you had one doggy and you got another doggy, you would have two doggies! A lot of people mistake this by saying 11, but I know its 2.
X=3n-18 the measure of Y=2n-27
Briefly explain the roles and relationships that exists amongst the producers, consumers, and decomposers in an ecosystem such as an ocean.
The roles and relationships that exist amongst the producers, consumers, and decomposers in an ecosystem is described by the food chain.
What is an ecosystem?
The meaning of ecosystem is the complex of a community of organisms and its environment functioning as an ecological unit.
Producer is an organism that produces its own food e.g. photosynthesis in plants. Also known as the base of the food-chain.
Consumer is an organism that consumes (eats) either a producer or another consumer e.g. animals will solely eat plants (herbivore), solely animals (carnivore), or a combination of both (omnivore).
Studies are showing that most animals are omnivores. Even pre-concluded herbivores or carnivores are found to eat a small variety of both plants and animals in a pinch. E.g. a deer would eat a baby bird if it found it on the ground.
Decomposers are organisms that 'eat' and break up dying/decaying material e.g. earthworms and fungi.
All of this together is the food cycle.
Learn more about ecosystem, click;
https://brainly.com/question/13979184
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Elijah's workout at the gym consists of just the elliptical and treadmill. After burning 450 miles
on the elliptical machine, Elijah switched to the treadmill. If he is burning 12.5 calories per
minute on the treadmill, find the total number of calories he will have
burned during his workout if he spends 30 minutes on the treadmill.
I need to define the variables and write this in a slope and y-intercept form but I’m not sure how to do that
Answer:
375
Step-by-step explanation:
12.5=1min
30min=?
30x12.5=357
Please help me out with this :) and explain if you can
Answer:
there are twelve total combinations
Step-by-step explanation:
just by looking at the problem though,
ABCD
AB
AC
AD
BA
BC
BD
CA
CB
CD
DA
DB
DC
normally, because some of them are repeated, we need to get rid of some
AB
AC
AD
BC
BD
DC
since this is about passwords though, we need to keep all of the same twelve combinations because the order of the letters are important
You have just planted a new tree. To support the tree, you attach a wire from the trunk of th tree to a stake in the ground. Each wire has a length of 7 feet. Suppose you put the stakes in the ground 5 feet from the base of the trunk. Approximately how far up the trunk should you attach the wires?
Answer: 4.9 ft
Step-by-step explanation:
Given
Length of wire [tex]l=7\ ft[/tex]
Stake is at a distance of [tex]5\ ft[/tex] from the base of tree
suppose wire is attached y ft above the base of tree
from the figure, we can write
[tex]\Rightarrow 7^2=5^2+y^2\\\Rightarrow y^2=49-25\\\Rightarrow y=\sqrt{24}\\\Rightarrow y=4.89\approx 4.9\ ft[/tex]
Which drawing shows lines that are PARALLEL?
Answer:
Step-by-step explanation:
I don’t see any pictures
I’m struggling on question C
One way to find the midpoint is to start at either endpoint (A or B), and count how many spaces it takes to get to the other endpoint. You should count exactly 5 spaces. This means that the midpoint will have us travel 5/2 = 2.5 spaces when we start at either endpoint and walk to the other side.
If we start at point A and move 2.5 units up, then we'll arrive at (-2, 1.5)
If you start at point B (where the red x is) and move 2.5 units down, you'll get to (-2, 1.5)
The midpoint is located at (-2, 1.5)
------------------------------------------
Another method is to use the coordinates of A and B. Point A is located at (-2, -1) and point B is located at (-2, 4)
Focus on the x coordinates for now only. The x coordinates are -2 and -2, so they are the same in this case. Adding them up leads to -2+(-2) = -4. Then we divide by 2 to get -4/2 = -2. It turns out that if the coordinates are the same, then adding them up and dividing by two leads to the same coordinate value.
Now move onto the y coordinates. Points A and B have y coordinates of -1 and 4 respectively. They add to -1+4 = 3 and that cuts in half to 3/2 = 1.5
The results of -2 and 1.5 we got in the previous two paragraphs then immediately lead to the midpoint's exact location of (-2, 1.5)
How much will this trash can hold? It is 4 feet tall and has abase radius of 1 foot.
______ cubic feet
Answer:
3 is the answer
Step-by-step explanation:
hope it will help you
PLEASE HELPPPPPPPPPP
Answer:
y = 25.20 m
Step-by-step explanation:
By applying tangent rule in ΔABC,
tan(25)° = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
= [tex]\frac{y}{BC}[/tex]
BC = [tex]\frac{y}{\text{tan}(25)}[/tex] --------(1)
Now we apply tangent rule in ΔABD,
tan(15)° = [tex]\frac{y}{BC+CD}[/tex]
tan(15)° = [tex]\frac{y}{BC+40}[/tex]
BC + 40 = [tex]\frac{y}{\text{tan}(15)}[/tex]
BC = [tex]\frac{y}{\text{tan}(15)}[/tex] - 40 -------(2)
From equation (1) and (2),
[tex]\frac{y}{\text{tan}(25)}=\frac{y}{\text{tan}(25)}-40[/tex]
[tex]\frac{y}{\text{tan}(25)}-\frac{y}{\text{tan}(25)}=-40[/tex]
[tex]y[\frac{1}{\text{tan}(25)}-\frac{1}{\text{tan}(25)}]=-40[/tex]
y(2.1445 - 3.7321) = -40
1.5876y = 40
y = 25.1953
y ≈ 25.20 m
Therefore, measure of y is 25.20 m.
A line passes through the points (4, -1) and (2,3). What is the slope of the line?
-2. 2
1/2
-1/2
Answer:
-2
Step-by-step explanation:
To find the slope of a line with 2 given points, you use the formula
m=y2-y1/x2-x1
Now you plug in the points which would be m=3-(-1)/2-4 which equals m=4/-2
4/-2 equals -2
The slope is -2
Dionte needs to make at least $140 over winter break to pay back his parents. If he makes $15 per sidewalk that he shovels for, how many sidewalks must he shovel to meet his goal?
15 dollars from 1 sidewalk
140 dollars from ? sidewalks
140/15 =9.333(bar)
Dionte needs to shovel 10 sidewalks
What is the measure of each acute angle in a right triangle where the measure of one acute angle is 5 times the measure of the other acute angle?
Answer:
90,75, and 15
Step-by-step explanation:
90+5x+×=180
6x=90
x=15
Find the surface area of the square pyramid, Show your work please : )
Answer:
105in²
Step-by-step explanation:
Surface area is the total area of the faces.
The faces of pyramid consist of triangles and a square
The area of a square can easily be calculated by squaring the side length
the square of this pyramid has a side length of 5
so
area of square = 5²
5² = 25
the area of the square is 25in²
Now to find the area of the triangles
All we have to do is find the area of one triangle and multiply that buy 4 ( because there are four triangle)
the area of a triangle can be calculated using this formula :
[tex]A=\frac{bh}{2}[/tex] where b = base and h = height
The triangles have a base length of 5 in and a height of 8 in
so
[tex]A=\frac{5*8}{2} \\5*8=40\\\frac{40}{2} =20\\A=20[/tex]
So the area of one triangle is 20 in²
Now we multiply 20 by 4 to find the area of all 4 triangles
20 * 4 = 80
So the total area of the triangles is 80in²
Finally we add the two areas together
Surface area = 80 + 25
80 + 25 = 105
Hence, the surface area is 105in²
Answer:
105 in.
Step-by-step explanation:
To find the area of a square pyramid, use this formula
a (area of base) + 1/2 ⋅ p (perimeter of base) ⋅ height.
The base is a square.
To find the area of a square, simply multiply the side length by itself twice (x^2).
5 x 5 = 25.
25 is the area of the base.
a (area of base) + 1/2 ⋅ p (perimeter of base) ⋅ height
25 + 1/2 ⋅ p ⋅ height.
To find the perimeter of a square, add every side length; the sum is the perimeter.
5 + 5 + 5 + 5 = 20.
20 is the perimeter of the square.
a (area of base) + 1/2 ⋅ p (perimeter of base) ⋅ height
25 + 1/2 ⋅ 20 ⋅ height
The height is the number along the little lines.
8 is the height.
Now that we have all parts of the formula, we have our final equation.
a (area of base) + 1/2 ⋅ p (perimeter of base) ⋅ height
25 + 1/2 ⋅ 20 ⋅ 8 = 105.
105 in. is the surface area of the square pyramid.
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
I'm not sure but I think its a
54:40
Maya is finding the area of the shaded triangle below.
A triangle has a base of 73 meters and a height of 10 meters.
If she considers 10 m to be the height of the triangle, what should she use as the triangle’s base?
22 m
25 m
52 m
73 m
Answer:
d) 73 m
Step-by-step explanation:
From the Question, we are told that:
Maya is finding the area of the shaded triangle below.
A triangle has a base of 73 meters and a height of 10 meters.
If she considers 10 m to be the height of the triangle, what should she use as the triangle’s base?
The area of a triangle = 1/2 × Base × Height
We are already told the base of the triangle from the question and this is 73 m
Option D, 73 m is the correct answer
In a highschool league, there were 256 touchdowns made last year. If 64 games were played, what is the mean, or the average, number of touchdowns made per game?
Answer:
4 per game
Step-by-step explanation:
Brainliest and 15 points will mark brainliest if you have a correct response to my question and people that give irresponsible answers get their account reported.
Answer:
Part A: One.
Part B: (3, 5)
Step-by-step explanation:
Part A: A solution to a pair of equations is generally where the two functions intersect. As we can see, a graph is provided, so things are facilitated. We can see that they only intersect once, which means only one answer.
Part B: The solution, which as we have learned is where the two lines intersect, is (3, 5), as that is, again, the point of intersection.
PLS HELP The figure shown is created by joining two rectangles. Enter the area, in square inches, of the figure.
Answer:
Its 108 because you have to split up the rectangles so when you cut them in half you will have 2 separate rectangles 1 with a base of 8 and a height of 9 so you will multiply those so 9 x 8 = 72 then just do the other two so 6 x 6 = 36 now you add those together 36 + 72 = 108 hope that helps
The Answer Is 108
Find the top length by adding 8+6=14
And the sides are the same length, meaning the sides are equivalent to 6.
6x14=84.
To find the sides for the the other rectangle, do 9-6 to get the side 3.
3x8=24
Add both areas to get 108 Inches Squared.