Answers
Answer:
1. 2(a^2 + 3a + 9)
2. 5(x^2 - 1)
3. 3(t + 8)(t - 2)
4. n(4 - n)
Step-by-step explanation:
For 1, you can only factor out the constant from each.
For 2, you can also only factor out the constant, but remember that you include the 1 when dividing 5 by 5.
For 3, you can factor out the constant and the variables.
For 4, you can only factor out the variable.
Related Questions
Which equation could be used to calculate the sum of the geometric series? one-third two-ninths startfraction 4 over 27 endfraction startfraction 8 over 81 endfraction startfraction 16 over 243 endfraction
Answers
The equation could be used to calculate the sum of the geometric series is [tex]S_n=\dfrac{\frac{1}{3} (1-(\frac{2}{3} )^n)}{1-\frac{2}{3} }[/tex]
Sum of geometric sequenceGeometric sequence are sequence that increase expoentially. The formula for calculating the sum of an exponential sequence is expressed as:
[tex]S_n=\frac{a(1-r^n)}{1-r}[/tex]
where
a is the first termn is the number of termsr is the common ratioFrom the given sequence
a= 1/3
r = 2/9 * 3 = 2/3
Substitute into the formula
[tex]S_n=\dfrac{\frac{1}{3} (1-(\frac{2}{3} )^n)}{1-\frac{2}{3} }[/tex]
Hence the equation could be used to calculate the sum of the geometric series is [tex]S_n=\dfrac{\frac{1}{3} (1-(\frac{2}{3} )^n)}{1-\frac{2}{3} }[/tex]
Learn more on geometric series here; https://brainly.com/question/24643676
Answer:
A
Step-by-step explanation:
edge
Use the method of elimination to solve the pair of simultaneous equation 3a=2b+1,3b=5a-3
Answers
Answer:
a = 3
b = 4
Step-by-step explanation:
Simultaneous equation
3a = 2b + 1
3a - 2b = 1 ------------------(I)
3b = 5a - 3
-5a + 3b = -3 --------------(II)
Multiply equation (I) by 3 & equation (II) by 2 and then add. So, now 'b' will be eliminated and we can find the value of 'a'.
(I)*3 9a - 6b = 3
(II)*2 -10a + 6b = -6 {Now add}
-a = -3
a = -3/(-1)
[tex]\sf \boxed{a = 3}[/tex]
Plugin a = 3 in equation (I)
3*3 - 2b = 1
9 - 2b = 1
-2b = 1 - 9 {Subtracting 9 from both sides}
-2b = - 8
b = (-8)/(-2) {Dividing both sides by (-2_}
[tex]\sf \boxed{b = 4}[/tex]
Answer:
(a, b) = (3, 4)
Step-by-step explanation:
In order to eliminate one of the variables in this system of equations, both equations need to be multiplied by different numbers before they are added or subtracted. We can eliminate the 'b' variable by subtracting 3 times the first equation from 2 times the second. (Putting the 'b' terms on the same side of the equal sign makes this easier.)
__
2(3b) -3(2b +1) = 2(5a -3) -3(3a)
6b -6b -3 = 10a -6 -9a
3 = a . . . . . . . add 6 and collect terms
3b = 5(3) -3 . . . . use the second equation to find b from a
b = 4 . . . . . . . divide by 3
The solution is (a, b) = (3, 4).
_____
The multiplier used in each case is the coefficient of the variable in the other equation. The two equations have 'b' coefficients of 2 and 3, so we multiplied the equations by 3 and 2 before subtracting. That makes the 6b terms cancel, leaving only terms with the 'a' variable.
By swapping sides of the equation the way we did, the 'a' terms end up on the same side of the equal sign, which is where we want them. Likewise, the 'b' terms end up on the same side of the equal sign, so their cancellation is easier to see.
What is 79,300 written in scientific notation?
O
A. 7.93 x 104
OB. 7.93 x 105
O Ос C. 79.3 x 104
OD. 79.3 x 105
Answers
Answer:
A. 7.93 x 104
Step-by-step explanation:
Help if you can
Please no links or false answers
Answers
Answer:
1st option
Step-by-step explanation:
given a quadratic function in standard form
f(x) = ax² + bx + c ( a ≠ 0 ) , then
• if a > 0 , the function opens up and has a minimum
• if a < 0 , the function opens down and has a maximum
here a = [tex]\frac{1}{2}[/tex] > 0
then f(x) opens up and has a minimum
Answer:
Option A, open up and have a minimum
Step-by-step explanation:
Step 1: Determine if it opens up or down
Since the value of a is 1/2 which means that it's positive which also means that it opens up. When a parabola opens up, that means that it has a minimum.
The picture attached to this answer shows an example of how a graph would look when using this equation. If a was -1/2 then the parabola would be facing down and would have a maximum.
Answer: Option A, open up and have a minimum
To make lemonade, Carlos used 5 times more water than lemon juice. He used 3 pints of lemon juice. After making the lemonade, he poured it equally into 4 jugs. How many cups of lemonade are in each jug?
Answers
Answer:
11 Cups
Step-by-step explanation:
Carlos used 3 pints of lemon juice and 5 times more water than lemon juice. So, he uses 3 x 5 = 15 pints of water for the lemonade. The amount of lemonade is 15 + 3 = 18 pints. Now he pours it equally into 4 jugs which makes it 18 ÷ 4 = 4.5 pints in each jug. Now 1 pint fills 2.4 cups which means 4.5 pints will fill 4.5 x 2.4 = 10.8 cups which will apprroximately be 11 cups.
Use the regression calculator to compare the teams’ number of runs with their number of wins. a 2-column table with 9 rows. column 1 is labeled r with entries 808, 768, 655, 684, 637, 619, 613, 609, 563. column 2 is labeled w with entries 93, 94, 66, 81, 86, 75, 61, 69, 55. the equation of the trend line is
Answers
The equation of the trend line is ŷ = 0.15x - 23.21
How to determine the average rate of change of the trend line?The points are given as:
hr =>808, 768, 655, 684, 637, 619, 613, 609, 563
w => 93, 94, 66, 81, 86, 75, 61, 69, 55.
Using a graphing calculator, we have the following calculation summary:
Sum of X = 5956Sum of Y = 680Mean X = 661.7778Mean Y = 75.5556Sum of squares (SSX) = 50569.5556Sum of products (SP) = 7547.1111The regression equation is represented as:
ŷ = bX + a
Where:
b = SP/SSX
b = 7547.11/50569.56
b = 0.14924
a = MY - bMX
a = 75.56 - (0.15*661.78)
a = -23.20961
This gives
ŷ = 0.14924X - 23.20961
Approximate
ŷ = 0.15x - 23.21
Hence, the equation of the trend line is ŷ = 0.15x - 23.21
Read more about trend lines at:
https://brainly.com/question/2589459
Answer:
D.) y = 0.15 - 23.21
Step-by-step explanation:
I took the assignment
Solve the inequality.
7x ≥ –7
A.x ≤ –1
B.x ≥ 14
C.x ≥ –1
D.x > –14
Answers
25 76
Step-by-step explanation:
Answer: C ( x ≥ -1 )
Step-by-step explanation:
3. Find the area of the rectangle with length 29 yards and width 45 yards.
74 yd?
1,305 yd?
148 yd
13,050 yd?
Answers
3Answer: 1305yard²
Step-by-step explanation:
Area is length multiplied by the width
29 × 45 =
Just need a bit off help! 10 points for each question and another 10 for the help so 50 points
Answers
Answer:
84, do 252/3
7.5, do 180/24
0.45, do 9/20
1.4, do 11.2/8
Which expression is equivalent to 20 - 35x ? *
Answers
Answer:
5[4 - 7x]
Step-by-step explanation:
Given expression:
20 - 35x
To factorize the expression, we need to determine the GCF of the terms.
⇒ 20 - 1, 2, 4, 5, 10, 20⇒ 35x - 1, 5, 7, x, 35Since "5" is the largest factor in both terms, the GCF is 5.
Factorize the expression using the GCF:
⇒ 20 - 35x⇒ 5[(20 ÷ 5) - (35x ÷ 5)]⇒ 5[(4) - (7x)]⇒ 5[4 - 7x]Thus, 5[4 - 7x] is equivalent to 20 - 35x.
Sorry I'm asking again but i need help
On Friday, Keith spent 12 pennies on ice cream. The next day, Keith spent 15 dimes on baseball cards. All in all, how much money did Keith spend?
Answers
Answer:
$1.62
Step-by-step explanation:
Penny = 1 cent
Dime = 10 cents
10 x 15 = 150 + 12 = 162
The graph shows the relationship between the distance a bicyclist travels and the time in hours.
100
90
80
70
Distance (mi)
60
50
40
30
20
.
10
Time (h)
Answers
HELPPPPPP FRENNN HELPPP frenss!!! HURRY
Answers
Answer:
x=6 y=2
Step-by-step explanation:
y=2
so 6x+9(2)=-24
6x+18=-24
6x=42
x=6
can someone help me for this question?
Answers
Answer:
Step-by-step explanation:
To find the equation of the tangent to the given function, you must differentiate the function with respect to 'x'. The derivative (y prime) will give the tangent line at any point along the function. After we find the tangent equation, we let x equal zero which will alow us to find the slope at that point.
Begin by bringing the entire denominator to the top. If not, you'll have to do the quotient rule which is very annoying 99% of the time. You will get:
[tex]y=5(e^{2x} +3)^{-1}[/tex]
With this now, you can use the chain rule twice. Begin by differentiating:
[tex]\frac{dy}{dx} =5\frac{d}{dx} [e^{2x} +3)^{-1}][/tex]
Use the chain rule:
[tex]\frac{dy}{dx} =-5(e^{2x} +3)^{-2}\frac{d}{dx} [e^{2x} +3][/tex]
Use the chain rule again:
[tex]\frac{dy}{dx} =-5(e^{2x} +3)^{-2}[2e^{2x} ][/tex]
Simplify:
[tex]y'=-\frac{10e^{2x} }{(e^{2x}+3)^{2}}[/tex]
Let x = 0 to get:
[tex]y'=-\frac{10}{4^{2}} =-10/16=-5/8=-0.625[/tex]
What are the approximate dimensions of the rug? round each dimension to the nearest tenth of a foot. 10.4 feet by 7.4 feet 11.1 feet by 8.1 feet 13.4 feet by 10.4 feet 14.1 feet by 11.1 feet
Answers
Step-by-step explanation:
10.4feet by 7.4feet11.1 feet by 8.1 feet
NO LINKS I WILL REPORT YOU.
PLEASE HELP ME. ILL GIVE YOU VIRTUAL KISS AND HUGS
Question 1(Multiple Choice Worth 1 points)
(08.04 MC)
The graph of the function C(x) = −0.34x2 + 12x + 62 is shown. The function models the production cost, C, in thousands of dollars for a tire company to manufacture a tire, where x is the number of tires produced, in thousands:
graph of a parabola opening down passing through points negative 4 and 57 hundredths comma zero, zero comma 62, 1 and 12 hundredths comma 75, 17 and 65 hundredths comma 167 and 55 hundredths, 34 and 18 hundredths comma 75, and 39 and 87 hundredths comma zero
If the company wants to keep its production costs under $75,000, then which constraint is reasonable for the model?
−4.57 ≤ x ≤ 39.87
1.12 ≤ x ≤ 34.18
−4.57 ≤ x ≤ 1.12 and 34.18 ≤ x ≤ 39.87
0 ≤ x < 1.12 and 34.18 < x ≤ 39.87
Answers
Answer:
0 ≤ x < 1.12 and 34.18 < x ≤ 39.87
Step-by-step explanation:
Not my answer Props to this guys: https://brainly.com/question/14438192
pls help i need answer pls
Answers
Answer:
The answer is B.
Step-by-step explanation:
There isn't much to explain.
3/6 people like chocolate ice cream and x/600 where x is the number of people who like chocolate ice cream.
[tex]\frac{3}{6}=\frac{x}{600} \\[/tex]
Cross multiply to solve for x.
6*x = 3*600
6*x = 1800
x = 300
300 people like chocolate ice cream so about half of people like chocolate ice cream compare to 3/6 the same.
10m^2n+30mn^2+5mn
factor the polynomial
Answers
[tex] \: [/tex]
Explanation :
So, here we are to factor the polynomial :
[tex]\\ \longrightarrow \sf \qquad10m^2n+30mn^2+5mn\\ \\[/tex]
[tex] \longrightarrow \sf \qquad5mn(2m+6n + 1)\\ \\[/tex]
Some points to know :
Factorisation is the reverse process of multiplucation.The Factorisation is the process of finding two or more expressions such that their product is the given expressionAnswer:
[tex]\boxed{5\left(6mn^{2}+mn+2\left(m^{n}\right)^{2}\right)}[/tex]
Step-by-step explanation:
[tex]10m ^ { 2n } +30mn ^ { 2 } +5mn[/tex]
Factor out the common factor: 5
[tex]=5\left(2m^{2n}+6mn^{2}+mn\right) [/tex]
[tex]=5\left(6mn^{2}+mn+2\left(m^{n}\right)^{2}\right)[/tex]
=》This expression cannot be further simplified.
___________
Hope it helps ⚜
Find the mean and the median of this data set: 8, 7, 6, 3, 47, 7, 4, 2.
Answers
Answer:
Mean: 10.5
Median: 6.5
Step-by-step explanation:
To find mean, find the sum of all of the numbers, then divide the sum by how many numbers there are in the data set.
8 + 7 + 6 + 3 + 47 + 7 + 4 + 2 = 84
84 ÷ 8 = 10.5
To find the median, list the numbers in order from least to greatest, then take one number off from each end of the data set until you get to the middle.
2, 3, 4, 6, 7, 7, 8, 47
In the middle lie numbers 6 and 7. To get the median, find the sum, then divide it by 2.
6 + 7 = 13
13 ÷ 2 = 6.5
hope this helps!
I’ve worked out that the 1st term is -5 but can’t work out the rest. I thought it was -77 but it’s wrong
Answers
1st term: 3(1) - 8 = 3-8= -5
10th term: 3(10) - 8= 30-8= 22
100th term: 3(100)-8= 300-8= 292
Explanation:
Substitute the term number (e.g. 10) in the place of n
Hope this helped! :)
Answer:
-5, 22, 292
Step-by-step explanation:
Subbsittutoin mehtod
(i) n = 1 , 3n - 8
= 3 x 1 - 8
= -5
(ii) n = 10 , 3n - 8
= 3 x 10 - 8
=22
(iii) n = 100 , 3n - 8
= 3 x 100 - 8
= 300 - 8
= 292
pls help fast --Solve the addition equation by finding a common multiple. (1 point)
one half plus two thirds plus four sixths equals blank
eleven sixths
seven elevenths
seven sixths
nine sixths
Answers
Step-by-step explanation:
11/6 !!
Please make me brainliest if this was helpful
If we use a double sided coin and assign heads as females and tails as males, what is the best way to perform
Answers
Answer:
D. Keep track of the number of heads flipped in 50 flips. These represent the number of females born today. Repeat this 200 times.
Step-by-step explanation:
more math !!!!! lol helppp
Answers
Answer:
p = 34d * k - 6000d
Step-by-step explanation:
profit equals to the number of skates sold that number - the rent for the building
The figure below shows a sphere with its center at O. The points A, B, C, and D are on the
surface of the sphere.
How many tangents to the sphere have been shown in the figure?
A. 0
B. 1
C. 2
(D. 3
Answers
Answer:
Option. C
Step-by-step explanation:
A and C are the two points of tangencies on sphere
There are two tangents to the sphere in the figure. Option C. is the correct option
Step-by-step explanation:A and C are the two points of tangencies of respective tangents that makes a perpendicular to the centre of the sphere of 'O' point ( lined on a plane circle of sphere ).
Content:- Tangent plane to Sphere.The school newspaper wants to do an article about DLDs at DHS by interviewing the Dacula Leadership Team. They wish to get quotes from 8 of the 30 seniors on DLT. 18 of the senior DLT members are athletes, while 12 are non-athletes. Determine the probability that the newspaper staff receives quotes from exactly 3 athletes. Round to two decimal places.
Answers
The binomial distribution is applicable when only two outcomes are possible. The probability that the newspaper staff receives quotes from exactly 3 athletes is 0.1238.
What is Binomial distribution?A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. It is given by the formula,
[tex]P(x) = ^nC_x p^xq^{(n-x)}[/tex]
Where,
x is the number of successes needed,
n is the number of trials or sample size,
p is the probability of a single success, and
q is the probability of a single failure.
Given that 18 of the senior DLT members are athletes, therefore, the probability of a DLT member being an athlete is,
[tex]P = \dfrac{18}{30} = \dfrac{6}{10} = 0.6[/tex]
Also, 12 of the senior DLT members are non-athletes, therefore, therefore, the probability of a DLT member being a non-athlete is,
[tex]q = \dfrac{12}{30} = \dfrac{4}{10} = 0.4[/tex]
Now, using the binomial distribution the probability that the newspaper staff receives quotes from exactly 3 athletes can be written as,
[tex]P(x) = ^nC_x p^xq^{(n-x)}\\\\P(x=3) = ^8C_3\cdot (0.6)^3\cdot (0.4)^{(8-3)}\\\\P(x=3) = ^8C_3\cdot (0.6)^3\cdot (0.4)^{(5)}\\\\P(x=3) = 0.1238[/tex]
Hence, the probability that the newspaper staff receives quotes from exactly 3 athletes is 0.1238.
Learn more about Binomial Distribution:
https://brainly.com/question/14565246
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The Dolphins' hockey coach kept track of how many goals the team scored in the first half of their season.
Answers
Answer:
the median is 3 for your question
Here is an expression.
1} :
Which situation could the expression model?
O A. A bag of almonds weighs 13 pounds. When of
the bag of almonds remain, how many pounds do
the almonds weigh?
B. How many cup servings of yogurt are in 1 cups
of yogurt?
o C. A student made 6 bows from 1 yards of ribbon.
How many bows can be made from yard of
ribbon?
OD. A girl has 1 cups of soup. She eats of the soup.
How many cups of soup remain?
Answers
Answer:
b
Step-by-step explanation:
is the situation could the expression model.
What is the solution to the inequality |2n +5| > 1?
Answers
Answer:
the answer is C
Step-by-step explanation:
help me, please help, please
Answers
Answer:
Maddie has 6 cookies
Step-by-step explanation:
Let a symbolise the sugar cookies
so, Jacob has 3a
And Mary has double of Jacob's cookies
Hence,
3a * 2
= 6 cookies
Alex has two designs to build a chest. In each design, the chest is a rectangular prism. Chest A has dimensions of 5 feet ×3 feet ×214 feet . Chest B has dimensions of 4 feet ×312 feet ×3 feet . Part A How much space does each chest hold? Include units in your answers. Chest A has of space. Chest B has of space. Question 2 Part B How much material is needed to build each chest? Include units in answer. Chest A needs of material. Chest B needs of material.
Answers
Answer:
I like turtlesion:
Step-by-step explanation:
the answer is easy you take 2 + 2 + 2 + 2 + 2 + 2 + 2 and then you got8 twos so you kind of want to do that and add another number to the 8th and then got 82 there's a step-by-step explanation and this is not actually not the answer I just want to fool around with some people