Answer:
3x−1
Step-by-step explanation:
1 Split the second term in 6{x}^{2}+x-16x
2
+x−1 into two terms.
\frac{6{x}^{2}+3x-2x-1}{4{x}^{2}-1}
4x
2
−1
6x
2
+3x−2x−1
2 Factor out common terms in the first two terms, then in the last two terms.
\frac{3x(2x+1)-(2x+1)}{4{x}^{2}-1}
4x
2
−1
3x(2x+1)−(2x+1)
3 Factor out the common term 2x+12x+1.
\frac{(2x+1)(3x-1)}{4{x}^{2}-1}
4x
2
−1
(2x+1)(3x−1)
4 Rewrite 4{x}^{2}-14x
2
−1 in the form {a}^{2}-{b}^{2}a
2
−b
2
, where a=2xa=2x and b=1b=1.
\frac{(2x+1)(3x-1)}{{(2x)}^{2}-{1}^{2}}
(2x)
2
−1
2
(2x+1)(3x−1)
5 Use Difference of Squares: {a}^{2}-{b}^{2}=(a+b)(a-b)a
2
−b
2
=(a+b)(a−b).
\frac{(2x+1)(3x-1)}{(2x+1)(2x-1)}
(2x+1)(2x−1)
(2x+1)(3x−1)
6 Cancel 2x+12x+1.
\frac{3x-1}{2x-1}
2x−1
3x−1
How many observations are accounted for in the stem and leaf graph? What did you do to find the answer?
Answer:
i put 2
Step-by-step explanation:
please help for brainliest answer
Answer:
a) An event with probability 0 is said to be impossible
b) An event with probability 1 is said to be certain
c) The probability of getting a head when flipping an unbiased coin is shown by the letter A
Step-by-step explanation:
a) If something has a 0 on a probability scale, it will never happen. The word used to describe this outcome is impossible.
b) If something has a 1 on a probability scale, it will always happen. The word used to describe this outcome is certain.
c) The probability of getting a head on an unbiased coin is [tex]\frac{1}{2}[/tex] or [tex]0.50[/tex]. This means that we are looking for the letter that is in the exact center of 0 and 1. It can be seen that A is in the dead center of these two numbers, so this is our answer.
What is the difference of the two polynomials (9x^2+8)-(2x^2+3x)
Answer:
7x^2 -3x +8
Step-by-step explanation:
(9x^2+8)-(2x^2+3x)
Distribute the minus sign
(9x^2+8)-2x^2-3x)
Combine like terms
9x^2 -2x^2 -3x+8
7x^2 -3x +8
Answer:
[tex]5x {?}^{2} + 8 - 3x [/tex]
[tex]9x {?}^{2} + 8 - (4x {?}^{2} + 3x) \\ 9x {?}^{2} + 8 - 4x - 3x \\ 5x {?}^{2} + 8 - 3x[/tex]
write down in terms of n 4 ,1 -2, -5 ,-8
Answer:
aₙ= 3n+1
Step-by-step explanation:
4 ,1 -2, -5 ,-8
AP with a₁=4 and d= -3
----------------
aₙ= 4+3*(n-1)= 4+3n-3= 3n+1
aₙ= 3n+1
solve for x
please help !!
Answer:
34
Step-by-step explanation:
j
Answer:
it would be 31
Step-by-step explanation:
A phone plan has a limit of $25 that can be spent on text messages. The base cost of the text plan will cost a user $5. Each text will cost $0.05. How many text messages (t) can a user send without exceeding the plan limits?
Answer:
400 texts
Step-by-step explanation:
Answer:
The answer is A)
Step-by-step explanation:
The time it takes to set up a circus tent varies inversely with the number E of elephants used. If 4 elephants can set up a tent in 30 hrs how long will it take 2 elephants?
Answer:
It will take 60 hours for 2 elephants to set up the tent.
Step-by-step explanation:
Represent set-up time by T and the number of elephants by E. T varies inversely with E:
T = k/E, or TE = k
If 4 elephants can set up a tent in 30 hours, then 30(4) = k, and
T = 120/E
Now let E = 2. We get T = 120/2, or 60
It will take 60 hours for 2 elephants to set up the tent.
Pat's potato farm grew 490 pounds of potatoes. Pat delivered 3/7 of the potatoes to a vegi stand. The owner of the vigi stand delivered 2/3 of the potatoes he bought to a local grocery store, witch packaged half of the potatoes that were delivered into 5 pond bags. How many 5 pound bags did the grocery store package.
Answer:
14 bags
Step-by-step explanation:
Total potato grown on Pat's potato farm = 490 pound
Fraction of potato delivered to vegi stand = 3/7 of total potato
Therefore,
Potato delivered to Vegi stand in pound = 3/7 of Total potato grown
= 3/7 of 490 = 3/7 * 490
= 210
Thus, 210 pound potato is delivered to vegi stand
___________________________________________
Fraction of potato delivered to local grocery store = 2/3 of potato delivered to Vegi stand
Therefore,
Potato delivered to local grocery store in pound = 2/3 of potato delivered to Vegi stand
= 2/3 of 210 = 2/3 * 210
= 140
Thus, 140 pound potato is delivered to local grocery store.
____________________________________________________
Half of the potatoes delivered were packaged into 5 pound bags
Half of 140 pound potato is delivered to local grocery store will be
140/2 = 70 pounds.
Thus, 70 pounds potatoes were packed in 5 pound bags.
Let the the no of 5 pounds bag be x.
if one bag has 5 pound potatoes then
x bag will have 5*x = 5x pound potatoes,
but it is given that 70 pounds potatoes were packed in 5 pound bags.
thus,
5x = 70
x = 70/5 = 14
Thus, 14 bags were packed by grocery store package.
The sum of two numbers is 10. The larger number is 4
times the smaller number. What are the two numbers?
Original system: x + y = 10,
y = 4x
Slope-intercept form:
y = -x + 10
y = 4x
Answer:
x=8 and y=2
Step-by-step explanation:
x+y=10
x=4y
x+y=10
4y+y=10
5y=10(divide both sides by 5)
y=2
x=4y=4*2=8
Answer:
2 and 8.
Step-by-step explanation:
y = -x + 10
y = 4x
If we subtract we eliminate y:
0 = -x + 10 - 4x
0 = -5x + 10
5x = 10
x = 2.
and y = 4 * 2 = 8.
Please answer correctly !!!!!!!!!! Will mark brainliest !!!!!!!!!!!!
Answer:
Step-by-step explanation:
Zeros: Set g(r) = (r + 14)^2 - 49 = to 0, obtaining
(r + 14)^2 = 49
Taking the square root of both sides, we get:
r + 14 = ± 7, which results in:
r = -14 + 7 = -7 and r = -14 - 7 = -21
The smaller root is -21 and the larger one is -7.
Vertex: Compare g(r) = (r + 14)^2 - 49 to y = (x - h)^2 + k, where (h, k) represents the vertex. We see that h = -21 and k = -49, so that we know the vertex to be (-21, -49).
If x2=y3, what is the value of z does x3z=y9?
If x² = y³ , for what value of z does [tex]x^{3z}[/tex] = [tex]Y^{9}[/tex] ?
Answer:
z= 2
Step-by-step explanation:
To solve the question given, we will follow the steps below;
[tex]X^{3z}[/tex] = [tex]Y^{9}[/tex] -----------------------------------------------------------------(1)
but applying the law of indices mᵃᵇ = (mᵃ)ᵇ
then
[tex]Y^{9}[/tex] = [tex](Y^{3})^{3}[/tex]
replace [tex]Y^{9}[/tex] by [tex](Y^{3})^{3}[/tex] in equation (1)
[tex]X^{3z}[/tex] = [tex]Y^{9}[/tex]
[tex]X^{3z}[/tex] = [tex](Y^{3})^{3}[/tex] --------------------------------------------------------------------(2)
but from the question x² = y³
replace y³ by x² in equation (2)
[tex]X^{3z}[/tex] = [tex](Y^{3})^{3}[/tex]
[tex]X^{3z}[/tex] = [tex](X^{2})^{3}[/tex]
[tex]X^{3z}[/tex] = [tex]X^{6}[/tex]
3z = 6
divide both-side of the equation by 3
3z/3 = 6/3
On the left-hand side of the equation, 3 at the numerator will cancel-out 3 at the denominator leaving us with just z while on the right-hand side of the equation 6 will be divided by 3
z= 2
Need help ASAP please
Answer: choice D) 5
Step-by-step explanation:
22.5/9=2.5
23.5/2.5=9.4
9.4-4.4=5=x
What is the range of the function g(x) = |x – 12| – 2?
Answer:
[-2 , +∞[
Step-by-step explanation:
g(12) = |12 - 12| - 2 = -2
if x ≠ 12 then |x - 12| ≥ 0 because the absolute value I should always positive.
then |x – 12| – 2 ≥ -2
then g(x) ≥ -2
then the range is [-2 , +∞[
Answer:
B
Y is greater than or equal to -2
25 POINTS +BRAINLIEST Thalia, a quiz show contestant, answered 20 questions. She was awarded 2 points for every correct answer that she gave, but she was penalized 1 point for every incorrect answer. In the end, Thalia had a total of 28 points. In order to determine the number of correct and incorrect answers that she gave, a viewer at home used the system of linear equations x + y = 20 and 2 x + y = 28, with x being the number of correct answers and y being the number of incorrect answers. The viewer solved the system by using the linear combination method as shown. x + y = 20. + StartFraction Negative 2 x minus y = negative 28 over Negative x = negative 8 EndFraction. StartFraction negative x Over negative 1 EndFraction = StartFraction negative 8 Over negative 1 EndFraction. X = 8. 8 + y = 20. 8 + y minus 8 = 20 minus 8. y = 12. The viewer calculated that the contestant answered 8 questions correctly and 12 questions incorrectly. What went wrong? The viewer mistakenly determined that one of the equations in the system should be x + y = 20.Instead modifications should have been made before applying the equation. The viewer mistakenly determined that one of the equations in the system should be 2 x + y = 28. Instead modifications should have been made before applying the equation. The viewer multiplied the equation 2 x + y = 28 by –1 incorrectly. The viewer added the equations x + y = 20 and Negative 2 x minus y = negative 28 incorrectly.
Answer:
The viewer mistakenly determined that one of the equations in the system should be 2 x + y = 28.
Step-by-step explanation:
No of questions= 20
Right= x, Wrong= y, right= 2 points, wrong= -1 point, total points= 28
Correct pair of equations:
x+y= 20 and 2x-y= 28solution:
x= 20-y,2(20-y)- y= 2840-2y-y=283y= 40-283y=12y=4 and x= 20-y= 20-4= 16right= 16, wrong= 4======
The mistake is:
The viewer mistakenly determined that one of the equations in the system should be 2 x + y = 28.
Answer:
Step-by-step explanation:
Finished on edge 2020
what is the y-intercept of y=-3x-2
Answer:
the answer is 2.
Step-by-step explanation:
the basic form of this equation is y=mx+c where c is the y intercept and m is the gradient. c=2 so 2 is the y intercept
Each week Danny eats 540 grams of cereal over 8 weeks. He finishes a total of 12 boxes of cereal. Each box contains the same amount of cereal. How many grams of cereal are in each box?
Answer:
360 grams of cereal
Step-by-step explanation:
First you have to do 540 times 8 to find out how many grams of cereal he ate over the eight weeks.
Then you have to divide the answer by 12 to get 360 grams of cereal.
I hope this helped ;)
factorise x^2-5x-6 please!??!?
Answer:
(x - 6)(x + 1)
Step-by-step explanation:
Given
x² - 5x - 6
Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (- 5)
The factors are - 6 and + 1 , since
- 6 × 1 = - 6 and - 6 + 1 = - 5, thus
x² - 5x - 6 = (x - 6)(x + 1) ← in factored form
Answer:
(x+1) (x-6)
Step-by-step explanation:
factorice la expresion
x^2 + x - 6x- 6
x(x + 1) -6(x + 1)
la solucion es:
(x + 1) (x - 6)
Q5) (2.00 marks)
The sum of two numbers is 16 and their product is 48. What are the two numbers?
help meeeeeeeeeeeeeee
Answer:
184 square inches
Step-by-step explanation:
Bases: 4 in × 5 in × 2 bases = 40 in²
Smaller pair of lateral faces: 4 in × 8 in × 2 faces = 64 in²
Larger pair of lateral faces: 5 in × 8 in × 2 faces = 80 in²
40+64+80=184 in²
The surface area of the box is 184 in² or 184 square inches.
Answer: B) 184 Square Inches
Step-by-step explanation:
To find the surface area of the box we have to use the formula, the formula is A = 2wl + 2lh + 2hw....
To find the front and the back we have to multiply the width and the length...
8 * 5 = 40 + 40 = 80
To find the right and the left we have to multiply the length and the height...
8 * 4 = 32 + 32 = 64
To find the bottom and the top we have to multiply the height and the width...
4 * 5 = 20 + 20 = 40
40 + 64 + 80 = 184
The surface is 184 square inches, I hope this helps!
Angles A and B are supplementary. Angle A has a measure of 80°. What is the measure of angle B?
The measure of angle B is
Answer:
The measure of angle B would be 100°
Step-by-step explanation:
Supplementary means two angles add up to 180 degrees. Let's say A+B=180. Since we know what A is, we can substitute that in, B+80=180. Now solve. B=100
(100 POINTS & BRAINLIEST!!! HURRY) A game at the fair involves a wheel with seven sectors. Two of the sectors are red, two of the sectors are purple, two of the sectors are yellow, and one sector is blue. Landing on the blue sector will give 3 points, landing on a yellow sector will give 1 point, landing on a purple sector will give 0 points, and landing on a red sector will give –1 point.
If you take one spin, what is your expected value?
What changes could you make to values assigned to outcomes to make the game fair?
Prove that the game would be fair using expected values.
Answer:
The game is not fair
Step-by-step explanation:
A wheel with seven sectors:
Red Sectors = 2 | Probability = 2/7
Purple sectors = 2 | Probability = 2/7
Yellow sectors = 2 | Probability = 2/7
Blue sectors = 1 | Probability = 1/7
Landing on the blue sector will give 3 points, => 3 * 1/7 = 3/7 points
landing on a yellow sector will give 1 point => 1 * 2/7 = 2/7 points
landing on a purple sector will give 0 points => 0 * 2/7 = 0 points
landing on a red sector will give –1 point. => - 1 * 2/7 = -2/7 points
Expected value = 3/7 + 2/7 + 0 - 2/7
= 3/7
Expected value = 3/7
3/7 < 1/2
=> game is not fair
If expected value = 3.5/7 = 1/2 then game will be fair
hence if we make 3.5 points for Landing on the blue sector
then game will be fair.
Answer: well i'm too young to answer this lol
1. 7
2. change the value of the colors. each color should have at least 1 or 2 points for each sector.
Step-by-step explanation:
1. two are red (red=1) =2, two are purple (purple=0) =2, two are yellow (yellow=1) =4, one is blue (blue=3) =7
2. dk how to explain this i'm running out of time
Solve the exponential equation using logarithmic properties y=3^2x-4
The 2x is an exponent
Answer:
[tex]\frac{log(y+4)}{2log3}[/tex]
Step-by-step explanation:
Given the exponential equation [tex]y = 3^{2x}+4[/tex], to get 2x, we will make 2x the subject of the formula as shown;
[tex]y = 3^{2x}-4\\y+4 = 3^{2x}\\taking\ log\ of\ both\ sides\\log(y+4) = log3^{2x}\\ log(y+4) = 2xlog3\\dividing\ both\ sides\ by\ 2log 3\\\ x = \frac{log(y-4)}{2log3} \\[/tex]
The last expression gives the required value of x
PLEASE HELP, I WILL MARK BRAINLIEST!
Answer:
hope this helps you
What is the exponential regression equation for the data set?
WILL GIVE BRAINLIEST!
THIS IS URGENT EMERGENCY \
Answer:
Exponential Regression. An exponential regression is the process of finding the equation of the exponential function that fits best for a set of data. As a result, we get an equation of the form y=abx where a≠0 .
Step-by-step explanation:
Two pupils each drew a triangle with one side of 6 cm , one side of 10 cm and one side of 7 cm. Must their triangles be congruent? (Answer ‘yes’ or ‘no’).
Answer:
no
Step-by-step explanation:
they can be either side because the numbers are different in the angles
Please answer correctly !!!!!!!!! Will mark brainliest !!!!!!!!!!!!
Answer:
Step 1
Step-by-step explanation:
I believe it's step 1 because he subtracted 6 from 86 before distributing the five. In math, you must follow PEMDAS (parentheses, exponents, multiplication & division, addition & subtraction.) This person skipped the parentheses.
What is the measure of U
Answer:
U = 48
Step-by-step explanation:
The sum of the angles of a triangle add to 180 degrees
x+21 + x+23 + x+61 = 180
Combine like terms
3x + 105 = 180
Subtract 105 from each side
3x+105-105 = 180-105
3x = 75
Divide by 3
3x/3 = 75/3
x = 25
We want angle u
x+23
25+23
48
Answer:
48
Step-by-step explanation:
All interior angles of a triangle add up to 180.
[tex](x+21)+(x+23)+(x+61)=180[/tex]
If you wanted to you could subtract 21, 23, and 61 from 180.
[tex](x+21)+(x+23)+(x+61)=180\\x+21+x+23+x+61=180\\3x+105=180\\3x=75[/tex]
Then take then number that's left and divide it by three, since they are all in addition to the same variable.
[tex]\frac{3x}{3}=\frac{75}{3}\\ x=25[/tex]
Then add 25 to 23 which is 48.
Please answer correctly !!!!!!!!!! Will mark brainliest !!!!!!!!!!!
Answer:
No, x = -12/23 , y = -14/23
Step-by-step explanation:
Solve the following system:
{-3 x - 4 y = 4 | (equation 1)
y - 5 x = 2 | (equation 2)
Swap equation 1 with equation 2:
{-(5 x) + y = 2 | (equation 1)
-(3 x) - 4 y = 4 | (equation 2)
Subtract 3/5 × (equation 1) from equation 2:
{-(5 x) + y = 2 | (equation 1)
0 x - (23 y)/5 = 14/5 | (equation 2)
Multiply equation 2 by 5:
{-(5 x) + y = 2 | (equation 1)
0 x - 23 y = 14 | (equation 2)
Divide equation 2 by -23:
{-(5 x) + y = 2 | (equation 1)
0 x+y = (-14)/23 | (equation 2)
Subtract equation 2 from equation 1:
{-(5 x)+0 y = 60/23 | (equation 1)
0 x+y = -14/23 | (equation 2)
Divide equation 1 by -5:
{x+0 y = (-12)/23 | (equation 1)
0 x+y = -14/23 | (equation 2)
Collect results:
Answer: {x = -12/23 , y = -14/23
help!!! an experiment consists of randomly choosing a colored card from a box. use the results in the table to find the experimental probability of each event. simplify all answers. red : 7, yellow: 12, orange: 8, white: 13
Answer:
chance of:
red 7/40 = 17.5%
yellow 3/10 = 30%
orange 1/5 = 20%
white = 13/40 = 32.5%
Step-by-step explanation:
7+12+8+13 = 40 total cards
7 red/ 40 possible
12 yellow/40 possible = 3/10
8 orange/40 possible = 1/5
13 white/40possible
Using it's concept, it is found that the experimental probability of each outcome is given by:
Red: 0.175 = 17.5%.Yellow: 0.3 = 30%.Orange: 0.2 = 20%.White: 0.325 = 32.5%.What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In an experimental probability, these numbers are taken from previous outcomes.
In this problem, there are 40 cards.
7 are red, hence P(red) = 7/40 = 0.175 = 17.5%.12 are yellow, hence P(yellow) = 12/40 = 0.3 = 30%.8 are orange, hence P(orange) = 8/40 = 0.2 = 20%.13 are white, hence P(white) = 13/40 = 0.325 = 32.5%.More can be learned about probabilities at https://brainly.com/question/14398287
If £25 = 850 rubles, how many £ are in 1,088 rubles?
Answer:
There are £32.64 are in 1,088 rubles.
Step-by-step explanation:
To solve this
step 1: find cost of 1 rubble
step 2: multiply number of rubble with cost of one rubble.
cost of 850 rubles = £25
we need to find cost of 1 rubles, for that we divide lHS and RHS with 850
cost of 850/850 rubles = £25/850 = £0.03
cost of 1 rubles = £0.03
Therefore cost of 1088 rubles = 1088* cost of 1 rubles
= 1088 * £0.03 = £32.64.
Thus, there are £32.64 are in 1,088 rubles.