Answer:
(3x-1) (x+1)
Step-by-step explanation:
3x^2 + 2x − 1
3x^2 factors into 3x and x
-1 factors into -1 and 1
We want a postive 2x
(3x-1) (x+1)
Answer:
(3x-1)(x+1)
Step-by-step explanation:
3x² + 2x − 1
when factorizing , first look at the constant number( in this case it is 1 prime number), then find the GCF if found.
(3x )(x ) first step : 3x*x=3x^2
(3x- ) (x+ ) the sign for the constant is minus so the factoring has to be minus and plus on each side
(3x-1)(x+1) look at the 2x it has positive sign, means the sign is plus:
3x-1
x+1
regular standard multiplication
3x(x)-1(x)+1(3x)-1
3x²+2x-1
Find the equation of the linear function represented by the table below in slope-intercept form.
Helpp plzz
Answer:
Let's first find the slope.
-13 - (-8) / 2-1
-5/1
-5
The slope is -5.
The y intercept, or where the line crosses the y=axis, is equal to -3.
So, the equation is y=-5x-3
Let me know if this helps!
please help! need answers in order to move on:) will give brainliest if you are correct!
Answer:
1) [tex]x^{2/3}[/tex]
[tex]3[/tex] → index
[tex]\sqrt[3]{x^{2} }[/tex]
[tex]Index: 3[/tex]
----------------
2) [tex]7^{5/4}[/tex]
[tex]=\sqrt[4]{7^{5} }[/tex]
[tex]=(\sqrt[4]{7})^{5}[/tex]
----------------
3) [tex]\sqrt[7]{2^{3} }[/tex]
[tex]=(2^{3} )^{1/7}[/tex] [tex][\sqrt[x]{n} =n^{1/n} ][/tex]
[tex]=2^{3/7}[/tex]
----------------
3) [tex]\sqrt[12]{8^{4} }[/tex]
[tex]y=(8^{4} )^{1/12}[/tex]
[tex]y=(8)^{1/3}[/tex]
[tex]y=(2)^{3\times 1/3}[/tex]
[tex]y=2[/tex]
------------------
4) [tex]128^{3/7}[/tex]
[tex]=\sqrt[7]{2\times 2\times2\times 2\times 2\times2\times 2}[/tex]
[tex]=(2)^{3}[/tex]
[tex]=8[/tex]
----------------------
OAmalOHopeO
Which of the following could be the value of xy if y = 7and x>7?
Answer:
Any number greater than 49.
Step-by-step explanation:
Since 7>0 then multiplying both sides of x>7 by 7 will not effect the direction of the inequality.
If x>7, then 7x>7(7) or 7x>49 after simplifying.
Substituting y for 7 since y=7 gives yx>49.
By commutative property of multiplication we have xy>49.
So any number greater than 49.
factorise [tex]x^{2} + 11x[/tex]
Answer:
x(x+11)
Step-by-step explanation:
x^2+11x
Factor out x
x*x+11x
x(x+11)
Find the value of x.
B
10-X
3
D
х
2.
A
С
x = [?]
Answer:
3/(10-x) = 5/(10-x+x)
3/(10-x) = 1/2
6 = 10-x
x = 4
Hope this helps!
a businessman bought three machines at rs 5400 each and spent 4000 on rearing and sold the machines for Rs Rs 7000 each, how much profit didi he make?
Answer:
[tex] \boxed{Rs \: 800}[/tex]Step-by-step explanation:
Cost price of three machines with repairment charge ( CP ) = 5400 × 3 + 4000
= Rs 20200
Selling price of 1 machine = Rs 7000
Selling price of 3 machines ( S.P )= Rs 7000 × 3
= Rs 21000
Since , SP > CP , he made a profit
Profit = SP - CP
= Rs 21000 - Rs 20200
= Rs 800
--------------------------------------------------------------
Further more explanation
Profit and loss
In any business , owners have intension to have profit by selling articles. The price at which an article is purchased is called it's Cost price ( C.P ) and the price at which it is sold is called Selling price ( S.P ).
If the selling price is less than cost price of an article then there is a loss.
[tex] \mathrm{Loss \: = \: Cost \: Price \: (C.P) - Selling \: Price \: (S.P)}[/tex]
If the selling price is more than cost price of an article then there is a profit ( gain )
[tex] \mathrm{Profit = Selling \: Price \: (S.P) - Cost \: Price \: (C.P)}[/tex]
So, If S.P > C.P, there is profit in dealing.
If C.P > SP , there is loss in dealing.
Hope I helped!
Best regards!!
Find the slope of the line through each pair
A.) (8, -7) and (5, -3). B.) (-5, 9) and (5, 11).
C.). (-8, -4) and (-4, -9).
Show your work.
Answer:A) -4/3 B) 1/2 C) -5/4
Step-by-step explanation:
Slope = (y2 - y1) / (x2 - x1)
For A) let (x1, y1) = (8, -7), (x2, y2) = (5, -3)
Slope = (-3 -(-7)) / (5 - 8) = 4/-3
For B) let (x1, y1) = (-5, 9), (x2, y2) = (5, 11)
Slope = (11 - 9) / (5 - (-5)) = 2/10 = 1/2
For C) let (x1, y1) = (-8, -4), (x2, y2) = (-4, -9)
Slope = (-9 -(-4)) / (-4 - (-8)) = -5/4
helphelphelphelphelphelp
Answer:
E - (8,-9)
F - (9,-9)
G - (9,-4)
Step-by-step explanation:
The first number in the bracket relates to the x-axis
The second number relates to the y-axis
It is estimated that 52% of drivers text while driving . What is the probability the next driver texting while driving that a police officer pulls over is the fifth driver?
Answer:
0.0276
Step-by-step explanation:
The computation of the probability that the next driver is texting while driving is shown below:
= Fourth pull failure × fifth pull success
where,
Fourth pull failure is (1 - 0.52)^4
And, the fifth pull success is 0.52
Now placing these values to the above formula
So,
= (1 - 0.52)^4 × 0.52
= 0.0276
Hence, the probability is 0.0276
x^2= 14x +11
------------
Answer:
[tex]x=7+2\sqrt{5} ,7-2\sqrt{5}[/tex]
Step-by-step explanation:
[tex]x^{2} =14x+11[/tex]
[tex]x^{2} -14x-11=0[/tex]
[tex]x\frac{-b\pm\sqrt{b^{2} -4ac} }{2(a)}[/tex]
[tex]x=\frac{14\pm\sqrt{(-14)^{2} -4(1)(-11)} }{2(1)}[/tex]
[tex]x=\frac{14\pm\sqrt{240} }{2}[/tex]
[tex]x=\frac{14\pm4\sqrt{15} }{2}[/tex]
[tex]x=7+2\sqrt{5} ,7-2\sqrt{5}[/tex]
------------------------
OAmalOHopeO
-----------------------
Answer:
Solution given:
x²=14x+11
keeping all term on same side
x²-14x-11=0
trying to make it a perfect square
x²-2*7*x+7²-7²-11=0
By using formula of (x-y)²=x²-2xy+y²we get
(x-7)²-60=0
keeping 60 in right side
(x-7)²=60
doing square root on both side
[tex]\frac{(x-7)²}=\sqrt{60}[/tex]
we get
x-7=[tex]\sqrt{5*3*2*2}[/tex]
x-7=±2[tex]\sqrt{15}[/tex]
So
x=7±2[tex]\sqrt{15}[/tex]
Either
x=7+2[tex]\sqrt{15}[/tex]or
x=7-2[tex]\sqrt{15}[/tex]john is 15 years old. john's mom takes him and his younger soster to a football game. tickets are $22 for adults and $16 for children (18 and under). what is the total cost of thr tickets?
Answer:
$38
Step-by-step explanation:
cost of ticket for adult = $22
cost of ticket for youngster = $16
______________________________
cost of ticket for John's mom = $22 as she is adult
cost of ticket for john = $16 as he is young , his age is less than 18 years
Total cost of ticket for John and his mother = $22 + $16 = $38
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Data should be analyzed using each of the following except:
A. measures of central tendency
B. shape
C. population size
D. spread
Point C is on the midpoint of a section of highway, represented by AB. If AB = 32 miles,
AC = 4x miles, and CB = 12 + x miles, explain three different ways
that
you
could
solve for x.
To solve this question, we need to understand the concept of midpoint.
Doing this, we get that x is equals to 4 miles., and we find it using each of these three ways:
[tex]AC = CB[/tex][tex]AC = \frac{AB}{2}[/tex][tex]CB = \frac{AB}{2}[/tex]Segment:
C is the midpoint of the segment AB, which means that:
The distance of the initial point A to the midpoint C is the same as the distance of the midpoint C to the final point B.
[tex]AC = CB[/tex]
The distance of the midpoint to one of the endpoints is half the total distance, that is:
[tex]AC = \frac{AB}{2}[/tex]
[tex]CB = \frac{AB}{2}[/tex]
Solution:
We have to solve for x, considering one of the three relations.
Considering:
[tex]AC = 4x, CB = 12 + x[/tex]
[tex]AC = CB[/tex]
[tex]4x = 12 + x[/tex]
[tex]4x - x = 12[/tex]
[tex]3x = 12[/tex]
[tex]x = \frac{12}{3}[/tex]
[tex]x = 4[/tex]
The solution for x is x = 4 miles.
A similar question is found at https://brainly.com/question/24114584
C. Examine the hourglasses (A), (B), and (C) and
find the best answer.
6
(A)
(B)
.(C)
6
a) (B) shows the most time passed.
b) (A) shows the most time passed.
c) (C) shows the most time passed.
d) (A), (B), and (C) show the same time passed.
6
Answer:add a screenshot
Step-by-step explanation:
I can't see the our glasses
Mark all the statements that are true please help
Step-by-step explanation:
the correct answer is option c
What is the justification for step 2 in the solution process? 12 − x = 7x + 32 Step 1: -x = 7x + 20 Step 2: -8x = 20
A. the division property of equality
B.the addition property of equality
C. the subtraction property of equality
D. the multiplication property of equality
Answer:
C. the subtraction property of equality
Step-by-step explanation:
given
12 − x = 7x + 32
Subtract 12 from each side using the subtraction property of equality
Step 1: -x = 7x + 20
Subtract -7x from each side using the subtraction property of equality
Step 2: -8x = 20
PLEASE HELP!!!
What is the overlap of Data Set 1 and Data Set 2?
A.) high
B.) moderate
C.) low
D.) none
Step-by-step explanation:
Step by step explanation, The answer is C
How many liters of a 35% salt solution must be mixed with 20 liters of 70% salt solution to obtain a solution that is 45% salt? What is the equation?
Answer:
.35 x + .70 (20) = .45(x+20)
50=x
Step-by-step explanation:
Let x = liters of 35% salt solution
We have 20 liters of 70%
We have a total of 20+x liters of 45%
.35 x + .70 (20) = .45(x+20)
Distribute
.35x + 14 = .45x +9
Subtract .35x from each side
14 = .10x +9
Subtract 9 from each side
5 = .10x
Divide each side by .1
5/.1 = x
50=x
Hiiii can you help me ?
Answer:
842, 743, 394, 305, 836
Step-by-step explanation:
We arbitrarily chose the ones digit to start with as 2. (It must be 5 or less.) The other two digits are chosen by a random number generator, as shown in the attached.
The 5 three-digit numbers we chose are ...
842, 743, 394, 305, 836
Answer:
The only criteria the question gives are that there must be 5 numbers, and the numbers must have 3 digits. The ones digit in the numbers should go up by 1.
So, we can have 111, 112, 113, 114, and 115.
Hope this helps!
Identify the perimeter of the figure.
Answer:
20 + 7 + 10 + 26 + 24 + 12 + 16 + 7 = 122cm
Find the X
2x+24
5x-30
Answer: x = 18
Concept:
Here, we need to know the idea of the isosceles decomposition theorem.
The Isosceles Decomposition Theorem states that in an isosceles triangle if a line segment goes from the vertex angle to the base, the following conditions are equivalent:
The line segment meets the base at its midpoint, The line segment is perpendicular to the base. The line segment bisects the vertex angle.In this question, the first condition that is equivalent would be useful.
Solve:
Given information
First side of the line segment (TU) = 2x + 24
Second side of the line segment (UR) = 5x - 30
Given expression deducted from the first condition of the isosceles decomposition theorem
Second side = First side
Substitute values into the expression
5x - 30 = 2x + 24
Add 30 on both sides
5x - 30 + 30 = 2x + 24 + 30
5x = 2x + 54
Subtract 2x on both sides
5x - 2x = 2x + 54 - 2x
3x = 54
Divide 3 on both sides
3x / 3 = 54 / 3
[tex]\boxed{x=18}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Find the total surface area.
8 km
4 km
3.9 km
2 km
8 km
Answer:
71.2 km²
Step-by-step explanation:
Triangles: 1/2(8)(3.9)=15.6 (2 of them - front and back)
Base: 8x2=16
Side: 4x2=8
Slant:8x2=16
15.6+15.6+16+8+16=71.2
A book sold 31,500 copies in its first month of release. Suppose this represents 8.9% of the number of copies sold to date. How many copies have been sold to date? Round your answer to the nearest whole number.
Answer:
35,393,258
Step-by-step explanation
[tex]\frac{31,500}{x} =\frac{0.089}{100}[/tex]
[tex]0.089x=3,150,000[/tex]
[tex]x= 35,393,258.427[/tex]
Rounded to the nearest whole number, that is 35,393,258.
6=m/8 whats does m equal?
Answer:
m=48
Step-by-step explanation:
━━━━━━━☆☆━━━━━━━
▹ Answer
m = 48
▹ Step-by-Step Explanation
Rewrite:
m/8 = 6
Use the inverse operation:
8 * 6 = 48
m = 48
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
If x = 7, what is the value of 4(x - 5)
Answer:
8
Step-by-step explanation:
Because if x=7 then it would be 7-5 which equals 2 then you would times 2 and 4 together which equals 8 then you would have your answer which is 8.
Answer:
its 8
Step-by-step explanation:
x= 7
so replace the x with the value of 7
4(7-5)
7 minus 5 is 2
4·2
4 multipied by 2 is 8
so the answer is 8
Write and solve an equation
Pang drove to his mother's house to drop off her new TV.
He drove at 50 miles per hour there and back, and spent 10 minutes dropping off the TV
The entire journey took him 94 minutes. How far away does his mother live?
Answer:
70 miles
Step-by-step explanation:
Subtracting ten minutes from the elapsed time 94 minutes tells us that the travel (at constant average speed) took 84 minutes. We convert 84 minutes to 84/60 hour.
distance = rate•time = 50 mi/hr (84/60 hour) = 50(1.4) = 70 miles
Ali was supposed to meet his friend in th evening every sunday. The first time he came at 4.30,the next time at5. 20,then at 6.30.Then at8. 00.When did he turn up the last time after that?
Answer:
9:50
Step-by-step explanation:
Given the following information :
First meeting = 4:30
Second meeting = 5:20
Third meeting = 6:30
Fourth meeting = 8:00
Frim careful observation of the meeting times :
Difference between the ;
Second and first meeting:
5:20 - 4:30 = 50 minutes
After that 20 minutes is added to the subsequent meetings as observed from the third and fourth meetings
6:30 - 5:20 = 70 minutes
8:00 - 6:30 = 90 minutes
Therefore, next meeting time :
(90 + 20) minutes = 110 minutes
8:00 + 110 minutes = 9:50
3.7 as a mixed number
Answer:
[tex]3\frac{7}{10}[/tex]
Please tell me if I'm wrong, and maybe consider brainliest if it's correct of course.
Solve the equation |8y+4|=2|y−1|.
Explain.
[tex]\\ \sf\longmapsto |8y+4|=2|y-1|[/tex]
[tex]\\ \sf\longmapsto 8y+4=2y-1[/tex]
[tex]\\ \sf\longmapsto 8y-2y=-1-4[/tex]
[tex]\\ \sf\longmapsto 6y=-5[/tex]
[tex]\\ \sf\longmapsto y=\dfrac{-5}{6}[/tex]
please help!! will give brainliest
Answer:
In this question, since order doesn't really matter, we can consider cats and dogs to be the same thing.
So there are a total of 11 animals (5+6).
The first animal can be placed in 11 places.
The second animal can be placed in 10 places.
The third animal can be placed in 9 places.
.
.
.
The eleventh animal can be placed in 1 place. (the last spot, whatever that is)
So this question becomes fairly simple, it's just 11 factorial, which can be written as 11!, or 39916800.
Let me know if this helps!