What is: 6x^2-4x-10?
[tex]answer \\ (3x - 5)(2x + 2) \\ solution \\ {6x}^{2} - 4x - 10 \\ = {6x}^{2} - (10 - 6)x - 10 \\ = {6x}^{2} - 10x + 6x - 10 \\ = 2x(3x - 5) + 2(3x - 5) \\ = (3x - 5)(2x + 2) \\ hope \: it \: helps[/tex]
Answer:
x = 1⅔ or -1
Step-by-step explanation:
6x² -4x - 10
a=6, b=-4, c=-10, ac= -60
factors -10 & 6
6x² + 6x - 10x -10 =0
(6x² + 6x) - (10x - 10) =0
6x(x +1) - 10(x+1) =0
(6x-10)(x+1)=0
6x-10=0 or. x+1=0
6x= 10 or x= -1
x= 10/6 or. x= -1
x=1⅔ or x= -1
What is the probability that you’re on mars right now?
The probability of you being on Mars right now is very slim, because no one that we know of currently lives on Mars.
the coordinates of point G ar (4,-2) and the gradient of the straight line GH is -2.The coordinates of point H could be
A.(-1,6)
B.(-1,8)
C.(-1,10)
D.(-1,12)
Step-by-step explanation:
Given that the formula of gradient is :
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
So you have to try for every coordinates :
Option A,
[tex] \frac{6-(-2)}{-1-4} = - \frac{8}{5} (incorrect) [/tex]
Option B,
[tex] \frac{8-(-2)}{-1-4} = -2 (correct) [/tex]
Option C,
[tex] \frac{10-(-2)}{-1-4} = - \frac{12}{5} (incorrect) [/tex]
Option D,
[tex] \frac{12-(-2)}{-1-4} = - \frac{14}{5} (incorrect) [/tex]
Allan built a doghouse and he wanted the house to have an area of 24 square feet. He also wanted the width to be 2/3 the length. What are the dimensions of the doghouse?
Answer:
Dimension of doghouse is 4ft by 6ft
Step-by-step explanation:
Here, we are interested in calculating the dimensions of the doghouse.
Let the length of the doghouse be x, this means that the width would be 2/3 of x which equals 2x/3
Now, the area of rectangle is L * B
x * 2x/3 = 24
2x^2 = 3 * 24
2x^2 = 72
diverse both sides by 2
x^2 = 36
hence x = 6ft
The width would be 2/3 * 6 = 12/3 = 4 ft
Who can solve for Y ? 2y < -4
Answer:
y < -2
Step-by-step explanation:
2y < -4
Divide both sides by 2.
y < -2
Answer:
y <-2. :::::::::::::::::::::::
Step-by-step explanation:
2y< -4 ==> y<-2
Using the following image, solve for UW
answer:15x
Step-by-step explanation:
because 2x +3 is 5x 5x+10 is 15x
Solve -3(x-2)<8 or -3(x-2) > 12
Answer:
x = (14/3,6)
Step-by-step explanation:
-3(x-2) < 8
taking negative sign to opposite side relational operator changes.
3(x-2) >8
Similarly
3(x-2)<12
Now
8< 3(x-2) < 12
dividing by 3
8/3 < x-2 < 4
adding 2
8/3 +2 < x < 6
Therefore x = (14/3, 6)
Hope it helps ...
Corresponding angles form when a transversal intersects with two parallel lines.
True
False
Please help
Answer: True
When two lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles. When the two lines are parallel Corresponding Angles are equal.
2x^2+14x-36 factored. please and thanks
Answer:
2 (x - 2) (x + 9)
Step-by-step explanation:
Mark brainliest please
i am thinking of a fraction. The sum of the numerator and denominator is 19. When I add
8 to the denominator, the fraction becomes 1/2 What is the fraction I am thinking of?
Answer:
[tex]\frac{9}{10}[/tex]
Step-by-step explanation:
Let the fraction be [tex]\frac{x}{y}[/tex].
That would mean:
(1) x+y = 19
&
(2) y+8 = 2x or 2x = y+8
In order to use substitution, we multiply equation by 2:
(3) 2x+2y = 38
Then we substitute equation (2) into (3):
y+8 + 2y = 38
3y + 8 = 38
3y = 30
y = 10
Substitute this into equation (1)
x + 10 = 19
x = 9
Therefore the fraction would be:
[tex]\frac{9}{10}[/tex]
Answer:
9/10
Step-by-step explanation:
let the fraction be x/y.
x+y=19
x/y+8=1/2
solve simultaneously
y=2x-8
y=19-x
2x-8=19-x
3x=27
x=9
y=10
So 59 rounded to the nearest ten is
Answer:
60
This is because a number 5 or above is rounded up. Lower than 5 is equal to the lower number.
Answer:
60.. hope it helps
Step-by-step explanation:
Check the number in the ones place
It's is 9, which is greater than 5 so we will add 1, to the tens place,
It becomes 60
Another method..
The closest tens multiples to the given number are 50 and 60.
Evidently, it is closer to 60 so when it is rounded off to the nearest ten, it's 60
The area of a circle is 18pi square inches. If the area of a sector of this circle is 6pi square inches, then which of the following must be the sector's central angle?
Please help I’ll give you brainliest promise !
Answer:
240 degrees
Step-by-step explanation:
Mathematically, the area of a circle is
A = 2 * pi * r^2
we need to calculate the radius of the circle first
18pi = 2pi * r^2
divide both sides by 2pi
r^2 = 9
r = 3 inches
Area of sector = angle/360 * pi * r^2
6pi = angle/360 * pi * 3^2
6pi = angle/360 * 9pi
(360 * 6pi)/9pi = angle
40 * 6 = 240 degrees
Please help! Correct answer only!
For a fundraiser, there is a raffle with 100 tickets. One ticket will win a $150 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
$ ___
Answer:
Expected Payoff ⇒ $ 1.50 ; Type in 1.50
Step-by-step explanation:
Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;
[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]
Thus, Solution ; Expected Payoff ⇒ $ 1.50
please see the attached image and help me complete this question , please , its an emergency
Answer:
46
Step-by-step explanation:
32+14 = 46
46 ppl study spanish
Answer:
A = the Venn diagram and the middle section is 41 because :
14 + 25 = 39
80 - 39 = 41
B = 25 ( because of diagram )
C = the number of kids who studied both and only studied it which is:
41 + 14 = 55 (so C = 55).
another EASY question for y’all mathy people, easy points! Question in photo.
Answer:
the answer is c
Step-by-step explanation:
Use the law of sines to find the value of y. Round to the nearest tenth.
Law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction = StartFraction sine (uppercase C) Over c EndFraction
1.4 units
1.6 units
2.5 units
2.6 units
Answer:
b) 1.6 units
y = 1.586 ≅ 1.6 units
Step-by-step explanation:
Explanation:-
step(i):-
The sine rule
[tex]\frac{a}{Sin A} = \frac{b}{Sin B} = \frac{c}{Sin C} = 2 R[/tex]
Given a = 2 and b = y
∠A = 75° and ∠ B = 50°
Step(ii):-
by sine rule
[tex]\frac{a}{Sin A} = \frac{b}{Sin B}[/tex]
[tex]\frac{2}{Sin 75} = \frac{y}{Sin 50}[/tex]
Cross multiplication , we get
2 × sin 50° = y sin 75°
2 × 0.766 = y × 0.9659
[tex]y = \frac{ 2 X 0.766}{0.9659} = 1. 586[/tex]
y = 1.586 ≅ 1.6 units
Answer:
Step-by-step explanation:
What is the equation of the translated function, g(x), if
f(x) = x??
Answer:
There is not enough information to solve. We need some more information to solve this question. The best we can do is
g(x) = g(f(x))
A psychologist has designed a questionnaire to measure individuals' aggressiveness. suppose that the scores on the questionnaire are normally distributed with a standard deviation of . suppose also that exactly of the scores exceed . find the mean of the distribution of scores. carry your intermediate computations to at least four decimal places. round your answer to at least one decimal place.
Answer: μ = 647.4
Step-by-step explanation:
The question says
"A psychologist has designed a questionnaire to measure individuals' aggressiveness. suppose that the scores on the questionnaire are normally distributed with a standard deviation of . suppose also that exactly of the scores exceed"
And we are told to find the mean of the distribution scores.
Given mean μ = ?
we have from standard normal table that
P(Z > 1.282) = 0.1
Therefore the given Z score of a score of 750 is given thus 1.282.
the z score is given:
x - μ / α = 1.282
750 - μ / 80 = 1.282
Therefore μ = (750 - 80)*1.282 = 647.4
So we have that μ = 647.4
cheers i hope this helped !!!
3х - Зу = 0
4 х - у = 21 what's the solution???
Answer:
x = 7
y = 7
Step-by-step explanation:
So from this we can pull that x, y = pos
pos so 3(x) = 21
x= 7
Same
7, 7
x = 7, y = 7
Hope this helps!
PLEASE HELP
CDEF is a kite and mFCE =39. Find m1
A.102
B.39
C.78
Answer: 39
Step-by-step explanation:
Its easy! The triangles CEF and CDE are equals because they have three sides respectively equal. So the angles FCE and angle m1 (DCE) are equal.
Then:
m1 = 39
if one song is $50 and i have $17000 how many songs can i buy
Answer:
340 songs, 17000/50 = 340 lol
Answer:
340
Step-by-step explanation:
17000÷50=340.
hope this helps
I will Rate you 5 stars and give you 30 points
A rectangle is graphed on the coordinate grid.
Which represents the equation of the side that is parallel to side s?
y=-x+9
y=-x-3
y=x+9
y=x-3
Answer:
y=x+9
Step-by-step explanation:
electricity has two different rates off peak is 10pm to 6am and charged at 8p per hour. peak is 6am to 10pm and is charged at 12p per hour. alison turns uses electricity from 8pm to 11:30 pm. what is the dost of her electricity for that period
Answer:
32p
Step-by-step explanation:
the times between 8pm and 11.30pm are:
8pm,9pm,10pm,11pm,11.30pm.
so, find the cost associated with each of them:
8pm: 12p
9pm: 12p
10pm: 12p
11pm:8p
11.30pm: 4p
sum:12+12+12+8+4 = 12 x 4 = 32p
which two of the following is continuous data?
Answer:
B. Age of student
D. Time taken to run 1 mile
Step-by-step explanation:
From the list of given options, only B and D satisfy the required condition.
One unique determinant of continuous data is that; they are measured and not counted.
Now, let's categorize option A to D into two
1. Counted data
2. Measured data
Options that fall into the category of measured data are said to be continuous data.
A. Concert attendance; The number of people in a concert is counted
B. The age of a student is measured (in years)
C. Number of pens in a box is counted
D. Time taken to run 1 mile is measured (in units like seconds, minutes, hours, etc...)
In summary; we have
Counted
A. Concert Attendance
C. Number of pens in a box
Measured
B. Age of a student
D. Time taken to run 1 mile
Hence, the continuous data are Age of a student and Time taken to run 1 mile
The temperature in Fahrenheit is thirty-two degrees more than 1.8 times the temperature in Celsius. Write an equation for the temperature in degrees Celsius. What is the temperature in Celsius if the temperature in
Fahrenheit is 176 degrees?
Answer:
80 Degrees celsius
Step-by-step explanation:
176 - 32 = 144
144 * 100/180 = 80
X^2-11=53 in the simplest form
Answer:
x=±8
Step-by-step explanation:
You add 11 on both sides
x^2=53+11
x^2 = 64 so
x=8 or x=-8
What is the value of 3-(-2)
Answer:
5
Step-by-step explanation:
3-(-2)=5
Answer:
5
Step-by-step explanation:
It becomes 3+2 because the negatives cancel out.
Ms. Jenks bought 1.75 pounds of ham and 0.8 pound of turkey from the deli. How many more pounds of ham than turkey did she buy?
work out the surface area of a sphere please help if u get it correct i’ll give h brainlest
Answer:
Surface area of sphere = 4πr²
r = radius
and radius = diameter/2
radius = 13/2
= 6.5cm
Surface area = 4 × π × 6.5
= 26 × π
= 81.68
= 81.7cm²
Hope this helps.
Four lines extend from point K. The space between lines K J and K N is 58 degrees. The space between lines K N and K M is 61 degrees. The space between lines K M and K L is 61 degrees.
Which statement must be true about the diagram?
1. Point K is a midpoint of Line segment J L.
2. mAngleJKN = One-halfmAngleJKM
3. Ray KM is an angle bisector of AngleNKL.
4. JK = One-halfKL
Answer:
Ray KM is an angle bisector of AngleNKL
Step-by-step explanation:
Answer:
Ray KM is an angle bisector of AngleNKL
Step-by-step explanation:
brainlist???????????