Answer:
Step-by-step explanation:
[tex]\frac{2x}{x-1} -\frac{2x-5}{x^2-3x+2} =\frac{-3}{x-2} \\\frac{2x}{x-1} +\frac{3}{x-2} =\frac{2x-5}{x^2-3x+2} \\\frac{2x(x-2)+3(x-1)}{(x-1)(x-2)} =\frac{2x-5}{x^2-3x+2} \\\frac{2x^2-4x+3x-3}{x^2-2x-x+2} =\frac{2x-5}{x^2-3x+2} \\\frac{2x^2-x-3}{x^2-3x+2} =\frac{2x-5}{x^2-3x+2} \\x\neq 1,x\neq 2,x^2-3x+2\neq 0\\multiply~by~x^2-3x+2\\2x^2-x-3=2x-5\\2x^2-3x+2=0\\x=\frac{3\pm\sqrt{9-4*2*2} }{2*2} \\x=\frac{3 \pm\sqrt{-7} }{4} \\x=\frac{3 \pm \sqrt{7} i}{4}[/tex]
The solutions of the given rational equation are 13/4 and 11/4.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
The given equation is 2x/(x-1) - (2x-5)/(x² -3x+2) = -3/(x-2)
Here, 2x/(x-1) - (2x-5)/(x² -2x-1x+2) = -3/(x-2)
2x/(x-1) - (2x-5)/(x(x-2)-1(x-2)) = -3/(x-2)
2x/(x-1) - (2x-5)/((x-2)(x-1)) = -3/(x-2)
(2x(x-2)-(2x-5))/((x-2)(x-1)) = -3/(x-2)
(2x²-4x-2x+5)/(x-1)=-3
2x²-4x-2x+5= -3(x-1)
2x²-6x+5=-3x+3
2x²-6x+5+3x-3=0
2x²-3x+2=0
By using quadratic formula, we get
x=3±√(9-8)/4
x=3± 1/4
x= 3+1/4 and x=3-1/4
x=13/4 and x=11/4
Therefore, the solutions of the given rational equation are 13/4 and 11/4.
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Evaluate F(x) = x^2 + 1 for f(-1)
Answer:
2
Step-by-step explanation:
f(x) = x^2 + 1
f(-1) = (-1)^2 + 1
f(-1) = 2
Answer:
f(x)=x^2+1
f(-1)=(-1)^2+1
f(-1)=1+1
f(-1)=2
Jada walks dogs to earn money. The points in this graph represent the total amount of money Jada earns based on the number of hours she walks dogs. Jada wants to purchase a new jacket that costs $32.
How many hours does Jada need to walk dogs to earn enough money to buy the jacket?
6 hours
7 hours
8 hours
9 hours
Answer:
8 hours
Step-by-step explanation:
In 4 hours she earns 16 dollars
Since this is proportional ( goes through zero), we can multiply by 2
8 hours = 32 dollars
Jada needs to walk the dog for, 8 hours.
4x8 = 32
PLEASE PLEASE HELP ME WITH THIS GEOMETRY QUESTION!!!
Step-by-step explanation:
Objective: Circle Theorems
The arcs add up to 360 and they are in proportion so
[tex]3x + 3x + 4x + 5x = 360[/tex]
[tex]15x = 360[/tex]
[tex]x = 24[/tex]
So this means that Arc AB and BC measure is 72 each. Arc CD measure is 96 and Arc DA measures is 120.
Angle 1 measure is a inscribed angle of Arc CD.
So it measures
[tex] \frac{96}{2} = 48[/tex]
Angle 2 is a inscribed angle of Arc AB so it measures
[tex] \frac{72}{2} = 36[/tex]
Angle 3 is a inscribed angle of Arc DA.
[tex] \frac{120}{2} = 60[/tex]
Angle 4 is a inscribed angle of Arc BC so it measures
[tex] \frac{72}{2} = 36[/tex]
Angle 5 is formed by tangent line ED. Since D lies on the circumference, it also is tangent to point e so it also measures 90 degrees.
Angle 4 measures 32 so Angle 5 is it complement to Angle 4.
[tex]32 + x = 90[/tex]
[tex]x = 58[/tex]
Angle 6 is formed by two intersecting chrods
so it measures
[tex] \frac{1}{2} (120+ 72) = 96[/tex]
The diagram shows a rectangle PQRS.
PQ = 14 cm and QR = 9 cm.
The point A lies on PS so that PA = 5 cm.
The point Blies on SR so that BR = 8 cm.
Answer:
a) The area of the triangle AQB is 43 square centimeters.
b) The length of the line segment AQ is approximately 14.866 centimeters.
Step-by-step explanation:
a) The procedure consist in subtracting the areas of triangles APQ, ASB and BRQ of the area the rectangle, that is to say:
[tex]A = (9\,cm)\cdot (14\,cm) - \frac{1}{2}\cdot (5\,cm)\cdot (14\,cm) - \frac{1}{2}\cdot (8\,cm)\cdot (9\,cm) -\frac{1}{2}\cdot (4\,cm) \cdot (6\,cm)[/tex]
[tex]A = 43\,cm^{2}[/tex]
The area of the triangle AQB is 43 square centimeters.
b) The length of the line segment AQ is determined by Pythagorean Theorem:
[tex]AQ = \sqrt{AP^{2}+PQ^{2}}[/tex] (1)
[tex]AQ = \sqrt{(5\,cm)^{2}+(14\,cm)^{2}}[/tex]
[tex]AQ \approx 14.866\,cm[/tex]
The length of the line segment AQ is approximately 14.866 centimeters.
For what values of x is the expression below defined?
x +3 + x1 - x
O A. 35xs1
O B. 3 > XS-1
O C. 3 >x>1
O D. -3 sx< 1
Answer:
D. - 3 ≤ x < 1
Step-by-step explanation:
The numerator cannot be the square root of a neg. no.
So, x + 3 ≥ 0 or x ≥ -3
The denominator cannot be a neg. no. or 0.
So, 1 - x > 0
1 > x or x < 1
So, altogether - 3 ≤ x < 1
Therefore, D is the correct answer.
HOPE IT MAY HELP YOU
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Please help me I really need help
Answer:
-2 + 6i
Parallelogram
Step-by-step explanation:
( 5 - 2i ) + ( - 7 + 8i )
remove parenthesis
5 - 2i + ( -7 ) + 8i
combine like terms
5 + (-7) = -2
-2i + 8i = 6i
-2 + 6i
The arrows on the opposite sides indicate that the sides are parallel
A shape with two sets of parallel sides is known as a parallelogram
The tables represent the functions f(x) and g(x).
A table with 2 columns and 7 rows. The first row, x, has the entries, negative 3, negative 2, negative 1, 0, 1, 2. The second row, f(x), has the entries, negative 5, negative 3, negative 1, 1, 3, 5. A table with 2 columns and 7 rows. The first row, x, has the entries, negative 3, negative 2, negative 1, 0, 1, 2. The second row, g(x), has the entries, negative 13, negative 9, negative 5, negative 1, 3, 7.
Which input value produces the same output value for the two functions?
Answer:
rtyujn
Step-by-step explanation:
er456y7ujm
There is 28 kg 750 g of sugar in a sack. How many tins of 500 g sugar can be filled using the sugar in the sack?
Answer:
Step-by-step explanation:
28 kg + 750 g = 28*1000 + 750
28000 + 750
= 28750 g
Number of sack = Total quantity of sugar ÷ quantity of sugar in a sack
= 28750 ÷ 500
= 57 sacks
Answer:
57 sacks
Step-by-step explanation:
28750 ÷ 500 =
57 sacks
Glad to help! :)
Second Number Cube
1
2.
3
4
5
6
First Number Cube
locN-
1,1 1,2 1,3 1,4 1,5 1,6
2,1 2,2 2,3 2,4 2,5 2,6
3,1 3,2 3,3 3,4 3,5 3,6
4,1 4,2 4,3 4,4 4,5 4,6
5,1 5,2 5,3 5,4 5,5 5,6
6,1 6,2 6,3 6,4 6,5 6,6
How many possible outcomes are there?
O 6
12
Answer:
36
Step-by-step explanation:
summation of all the outcome
There are 36 possible outcomes is shows in table for rolling two six - sided number cubes.
What is mean by 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.
We have to given that;
The table shows all the possible outcomes for rolling two six - sided number cubes.
Now, We know that;
For rolling one six - sided number cubes,
There is 6 possible outcomes.
Hence, For two six - sided number cubes.
Number of possible outcomes = 6 × 6
= 36
Thus, There are 36 possible outcomes is shows in table for rolling two six - sided number cubes.
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Which statement is true regarding the graphed functions?
Answer:
f(2) = 0 and g(2) = 0
f(2) = g(2) TRUE
b) f(0) = 2 and g(0) = -2
f(0) = g(0) FALSE
c) f(2) = 0 and g(0) = -2
f(2) = g(0) FALSE
d) f(0) = 2 and g(2) = 0
f(0) = g(2) FALSE
PLEASE HELP IF YOU KNOW GEOMETRY THIS SHOULD BE EASY
Answer:
Growth
Step-by-step explanation:
When x value increase, y value also increase, So growth.
When x = 1 ;f(1) = 2
When x = 2 ; f(2) = 2² = 4
When x = 3 ; f(3) = 2³ = 8
Answer:
Exponential Growth
Step-by-step explanation:
I found this photo that helps differentiate both growth and decay :)
I hope this helps! :)
Explain in your own words why it takes more to prove quadrilaterals congruent. Include examples demonstrating how ""just angles"" or ""just sides"" is not enough.
Proving that quadrilaterals are congruent takes more because all quadrilaterals are polygons of four sides and they all have a sum angle of 360°
Meaning of Congruent quadrilateralsA quadrilateral can be defined as a polygon shape that possesses four sides.
Congruent quadrilaterals are those quadrilaterals that are similar in sides and angles.
For example, a parallelogram needs to be proved by both the sides and the angles
In conclusion, Proving that quadrilaterals are congruent takes more because all quadrilaterals are polygons of four sides and they all have a sum angle of 360°
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Please help and thank u
Answer:
The answer to this question is C.
no links please, i cant find the answer for q b) ii)
Answer:
-k
Step-by-step explanation:
Cos(140)=cos(180-40)=-cos(40)=-k
Answer:
Step-by-step explanation:
Sin (90 - A) = Cos A
Cos (90 + A) = -Sin A
Sin 50 = Sin (90 - 40)
= Cos 40
= k
Cos 140 = Cos (90 + 50)
= - Sin 50
= (- k)
i need help with this
Answer:
[tex]y = - \frac{1}{2} x + 4[/tex]
Step-by-step explanation:
Let us consider two points through which the line passes through
[tex](x_1 , y _ 1 ) = ( 0 , 4 ) \ and \ (x_ 2 , y _ 2 ) = ( 4, 2 )[/tex]
Step 1 : Find slope of the line
[tex]Slope, m_1 = \frac{rise}{run} \\\\That \ is \ m_1 \ = \frac{y_2 - y _ 1}{x_2 - x_1}[/tex]
[tex]= \frac{2 - 4}{4-0} \\\\=-\frac{2}{4}\\\\= - \frac{1}{2}[/tex]
Step 2 : Find equation of the line.
[tex](y - y _ 1) = m_ 1 (x - x_1)\\\\( y - 4) = - \frac{1}{2}(x - 0)\\\\y = -\frac{1}{2}x + 4[/tex]
if x4 + 1/x4 = 4 find the value of x2+1/x2
Answer:
Hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
Answer:
Step-by-step explanation:
I think its 2
HELP pls help me with this problem.
Answer:
8units
Step-by-step explanation:
area of a triangle=1/2base x height
1/2×4×4
2×4
8units
Help me solve these 4 plssss ASAP
Step-by-step explanation:
[tex]1) \\ - 2 \leqslant x \leqslant 1 \\ 2) \\ - 3 > x \geqslant 2 \\ 3) \\ x> 0[/tex]
[tex]4) \\ x \leqslant - 3 \\ 5) \\ - 4 \leqslant x \geqslant 1[/tex]
[tex]6) \\ - 2< x \leqslant 0[/tex]
120 to 150 find the percentage of increase
Answer:
25%
Step-by-step explanation:
increase by = 150 - 120
=30
increase percent = 30/120 * 100%
=3000/120
=25 %
Answer:
25%
Step-by-step explanation:
Percentage increase=(new value-original value)/(original value) x 100%
Percentage increase=(150-120)/120 x 100%
Percentage increase=30/120 x 100%
Percentage increase=1/4 x 100%
Percentage increase=25%
Question 7 of 27
Which of the following is an element in the sample space for first rolling a
number cube and then tossing a coin?
Answer:
TH is an element on the sample space for first rolling a die and then tossing a coin. A coin has both heads and tails.
The sample space for rolling a number cube and then tossing a coin is:
{(1, H), (1, T), (2, H), (2, T), (3, H), (3, T), (4, H), (4, T), (5, H), (5, T), (6, H), (6, T)}
The elements can be any of the elements in the sample space.
What is sample space?It is the total number of possible outcomes from a given set.
We have,
The sample space for rolling a number cube and then tossing a coin consists of all possible outcomes from rolling the number cube and tossing the coin.
Each outcome is a pair consisting of a number from 1 to 6 (the possible outcome from rolling the number cube) and a head or tail (the possible outcome from tossing the coin).
Therefore, an element in the sample space can be represented as an ordered pair (n, h/t), where n is the number rolled on the number cube and h/t is the outcome of the coin toss (either head or tail).
So,
The sample space for rolling a number cube and then tossing a coin is:
{(1, H), (1, T), (2, H), (2, T), (3, H), (3, T), (4, H), (4, T), (5, H), (5, T), (6, H), (6, T)}
For example, (3, H), (6, T), (1, H), and (4, T) are all elements in the sample space.
Thus,
The sample space for rolling a number cube and then tossing a coin is:
{(1, H), (1, T), (2, H), (2, T), (3, H), (3, T), (4, H), (4, T), (5, H), (5, T), (6, H), (6, T)}
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Violet bought 2 yards of fabric. She will use it to make new pillow covers. How many inches of fabric did Violet get?
Answer:
24 inches
Step-by-step explanation:
2 yards to inches :
2 x 12 = 24
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
72 inches
Step-by-step explanation:
1 yard = 3 feet
1 foot = 12 inches
1 yard = 3(12) inches or 36"
∴ 2 yards = 72 inches
A group of people were asked if they had run a red light in the last year where 140 responded "yes," and 208 responded "no." If a person is randomly chosen, find the probability that he/she has run a red light in the last year. Give your answer as a fraction or decimal.
Answer:
35/87
Step-by-step explanation:
To find the probability, we must find (total number of favorable outcomes)/ (total number of outcomes). We thus need to find the total number of outcomes. As people have only answered "yes" or "no", the total number of outcomes is 208+140 = 348.
The total number of favorable outcomes, or what we're looking for, is 140 (140 people responded that they had run a red light). Thus, our fraction is 140/348, or 35/87
What are biofertilisiers
Answer:
Step-by-step explanation:
biofertilizers are fertilizers consist of micro-organisms that will help plant growth. they are different from traditional fertilizers which consist of chemicals
Answer:
Any fertilizers involving living organisms, or the products obtained from living organisms can be referred to as biofertilizer, although nowadays, the term is generally used for living organisms used for fertilizer purpose.
Step-by-step explanation:
Hope this helps
A newborn baby weighed 133 ounces.
What is the baby's weight in pounds and
ounces? (1 pound = 16 ounces)
Answer: UHHHHH i shall halp ya
Step-by-step explanation:
if its 133 in ounces its 293.215 in pounds
Answer: 8 pounds and 5 ounces
Step-by-step explanation: Do 16 ounces divided by 2 and it will give you 8 or do 8 times 2 which will give you sixteen. I prefer you do the other way and then do 10 dividedy2to get 5 ounces. The cop is 2.
Solve -2x + 6 = -20. -7 -13 7 13
Answer:
13
Step-by-step explanation:
-2x + 6 = -20
Step 1 subtract 6 from both sides
6 - 6 cancels out
-20 - 6 = -26
We now have -2x = -26
Step 2 divide both sides by -2
-2x/-2 = x
-26/-2 = 13
We're left with x = 13
How many sides do 2 hexagons and 2 pentagons have in all?
Answer:
22 sides total
Step-by-step explanation:
a hexagon has 6 sides, while a pentagon has 5 sides. In order to find out how many there are total, we would multiply each by two, and add them together.
[tex]2(6)+2(5)=\\12+10=22[/tex]
What is the equation of the line that passes through the points
(-3, 6) and (-3, 8)?
Answer:
[tex]x=-3[/tex]
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0).
Typically, we would start with finding the slope of the line. However, notice how the two x-coordinates in the given points are both -3. This means that this is a vertical line, with an undefined slope.
Vertical lines have their equations organized differently: [tex]x=d[/tex] where d is the x-intercept, or the value of x when y is 0.
Because the x-coordinates in all the points a vertical lines passes through are the same, the x-intercept would therefore be -3. Plug this into the equation [tex]x=d[/tex]:
[tex]x=-3[/tex]
I hope this helps!
10.
Consider the number 1750
Find the least number which must be added so as to get a perfect square?
Find the square root of the number obtained?
Answer:
if you add 14 to 1750 you will get 1764 which equals 42²
Step-by-step explanation:
the measures of the angles of a triangle are shown in the figure. solve for x
Answer:
10
Step-by-step explanation:
First, we know that the angles of a triangle add up to 180 degrees. We can then sum up our angles as 90 (since it's a right triangle, represented by the square in the bottom left angle) +27+6x+3=180
90+27+6x+3=180
Add up left side
120+6x=180
Subtract 120 from both sides
6x=60
Divide both sides by 6
x=10
Find the distance between the points (11,4) and (10,5)
