Answer:
[tex]\frac{1}{3(x-2)}[/tex]
Step-by-step explanation:
Hi there!
We need to multiply the fractions:
[tex]\frac{x+3}{12x}[/tex]×[tex]\frac{4x}{x^{2}+x-6}[/tex]
Before we multiply, we can cancel out and factor the polynomials to make multiplying easier
First, we can factor x²+x-6
1 (in front of +x) is the sum of two numbers and -6 is the product of those numbers
Those numbers are -2 and 3
so when we factor, we get:
(x-2)(x+3)
here are the fractions so far:
[tex]\frac{x+3}{12x}[/tex]×[tex]\frac{4x}{(x+3)(x-2)}[/tex]
we can cancel out x+3 on both fractions
[tex]\frac{1}{12x}[/tex]×[tex]\frac{4x}{x-2}[/tex]
we can also cancel out 4x from both fractions
[tex]\frac{1}{3}[/tex]×[tex]\frac{1}{x-2}[/tex]
now multiply the fractions together
[tex]\frac{1}{3(x-2)}[/tex]
So the first option is your answer
Hope this helps! :)
1) Find the distance between -49.75 and 31.5 on a number line.
Answer:
81.25
Step-by-step explanation:
Because you want to know the total distance, calculate how many digits -49.75 is away from 0. It is 49.75 digits away from 0.
Now calculate how many digits 31.5 is away from 0. It is 31.5 digits away from 0.
Finally, add those two distances together so that you know the total distance:
49.75+31.5 = 81.25
Answer:
in the picture
HOPE ITS HELP
Standard fom: 4x20x² 24x
what is the Leading coefficient
Explain the behavior base on the
degree and leading coefficient?
Answer:
that is behavior that coefficient
What is the volume of this sphere?
Use ≈ 3.14 and round your answer to the nearest hundredth.
radius is 4 meters long.
Answer:
Step-by-step explanation:
What is the slope of the line through the points (-2, -1) and (4, 3)?
Answer: [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Answer:
m=2/3
Step-by-step explanation:
Identify the coordinates (x₁,y₁) and (x₂,y₂) . ...
Input the values into the formula. (-2,-1) (4,3) the formula is (y1-y2)/(x1-x2)
Subtract the values in parentheses to get 4/6
Simplify the fraction to get the slope of 2/3
help please if you can
Answer:
Ice, ig.
It is made up of the remaining part of the solar system, after all.
Hope it helps you
Please mark as brainliest
Need help asap please and thank you
Answer:
(x=4)^2=23; the third one
Step-by-step explanation:
When you solve it using the quadratic formula it's the same as the original answer.
If PT=5x+3 and TQ=7x−9, what is PT?
I NEEDDD HELPPPPP PLEASEEE
Answer:
#3
Hope this helped! Please give brainliest to let me know <3
Step-by-step explanation:
Presale tickets (p) are each worth $7: represented in the equation as 7p.
Door tickets (d) are each worth $10: represented in the equation as 10d.
They sold 345 tickets, so p+d=345. They collected $2550, so 7p+10d=2550.
Final answer:
(3) [tex]\left \{ {{7p+10d=2550} \atop {p+d=345}} \right.[/tex]
A submarine begins its descent from the surface of the water and dives 20 feet for each minute. What would be the depth of the submarine after 2/3 hours?
Answer:
Distance = speed * time
Convert feet to meter (C units) = about 6
Convert hours to second (C units) = about 2399
Distance = 6 * 2399
= 1439 meters
4721 foot
Write the slope-intercept form of the equation for the line
Find the solution set of this inequality. Enter your answer in interval notation using grouping symbols. -2x+5<3
Step-by-step explanation:
-2x+5<3
-2x>3-5
-2x>-2
Divide both sides by -2
x>1
Answer:
-2x+5<3
-2x<-2
x<1
Solve for x:−2(x+9)=−1(x+−1)+2
Answer:
A
Step-by-step explanation:
expanding the bracket, we would have
-2x -18 = -x+1+2
-2x+x= 3 +18
-x=21
x=-21
Answer:
A
Step-by-step explanation:
−2(x+9)=−1(x+−1)+2
Use distributive property
-2x - 18 = -1x + 1 +2
-2x - 18 = -1x + 3
+18 +18
-2x = -1x +21
+1x +1x
___________
-x = 21
we need to have a positive x so multiply x by -1. -x times -1 = x
What we do on the left side has to happen to the right side too
So, 21 times -1 = -21
Therefore, x = -21
Hope this helps :)
hey you guys its your favorite gal, hopin in to ask a couple more questions for the better in me (im honestly just asking for points and for answers, thanks for being loyal as always )
Select the correct answer.
Martin runs 100 meters in 15 seconds. What is the equation for d, the distance in meters that Martin covers per second?
A.
15 + d = 100
B.
100 + d = 15
C.
d × 15 = 100
D.
d × 100 = 15
Answer:
c
Step-by-step explanation:
We are dividind how 100 can fit in 15 seconds
which is 100 /15
therefore when C when u tak it to the other side it divides 100 in 15
d×15=100
d=100/15
press the image to see the whole question
Let x be the hottest temperature.
Equation: x - (-35.67) = 148.98
So,
x - (-35.67) = 148.98
=> x + 35.67 = 148.98
=> x = 148.98 - 35.67
=> x = 113.31
which comparison is correct?
140.07 < 140.7
140.07=140.7
140.07 > 140.7
The answer is 140.07< 140.7 I hope I help
Answer:
40.07 < 140.7
step by step explanation:it's just correct I think
What is the slope-intercept form equation of the line that passes through (2, 4) and (4, 10)?
O y = -3x - 2
O y = -3x + 2
O y = 3x + 2
O y = 3x - 2
⊹˚ʚ ❑Answer︰The slope is 3!
⊹˚ʚ ❑Explanation︰use the formula y2-y1 over x2-x1
✎Daily reminder: make sure to eat food and stay hydrated, have a good day :D
Answer:
y = 3x - 2.
Step-by-step explanation:
The slope of the line (m) = (10-4)/(4-2)
= 3.
y - y1 = m(x - x1)
y - 10 = 3(x - 4)
y = 3x - 12 + 10
y = 3x - 2.
If d= the number of dogs, which variable expression represents he phase below?
the sum of number of dogs and the 6 cats
Answer:
d+6
Step-by-step explanation:
Because d is representing dogs and sum means add, and it's asking to add the number of cats which is 6 so it's d+6
please help me with this!
Which relation is a function? A. (1,0) (3,0) (1,1) (3,1) (1,3). B. (1,1) (2,2) (3,3) (4,4) (5,8). C. (2,7) (6,5) (4,4) (3,3) (2,1). D. (9, -3) (9,3) (4, -2) (4,2) (0,0)
Answer:
a
Step-by-step explanation:
because it's a relation function
help gggggggggggggggggggggggggggggggggggggg
Answer:
22 units
The correct answer is A
I believe the answer to this is 22 units.
I hope this helps! :D
combine like terms, x-3+6
Answer:
x - 9
Step-by-step explanation:
That should be it, and let me know if I'm wrong. x is by itself and if you were to add 3 and 6 you'd get 9. So x - 9
Write an equation that you can use to solve for x. Enter your answer in the box.
Answer:
x+63 = 90
Step-by-step explanation:
x and 63 add to a right angle so their sum is 90
x+63 = 90
We can solve
x = 90-63
x = 27
5√2-3√2.
optional maths
Answer: [tex]2\sqrt{2}[/tex]
=====================================
Explanation:
Let's say we replace every copy of [tex]\sqrt{2}[/tex] with x
Doing so means we have the expression 5x-3x. That simplifies to 2x.
The last thing to do is replace the x with [tex]\sqrt{2}[/tex] and that's how we end up with [tex]2\sqrt{2}[/tex] as the final answer.
----------
In short: we subtract the numbers out front, and then tack on a root 2 at the end.
As another example, [tex]19\sqrt{2}-11\sqrt{2} = (19-11)\sqrt{2} = 8\sqrt{2}[/tex]
This is basically the same as saying 19x-11x = (19-11)x = 8x where [tex]x = \sqrt{2}[/tex]
The midpoint of AB is M(6, 3) . If the coordinates of A are (7, 4) , what are the coordinates of B?
Answer:
5,2
Step-by-step explanation:
the difference between a and m is 1,1 so 1,1 subtracted from the mid point(M) would be 5,2
A 6-foot diameter circle is divided
into six congruent sectors. What
is the area of each sector in square
inches? (Use 3.14 for 2.)
Answer:
the area is 1235
Step-by-step explanation:
Answer:
2714.33 sq in
explanation-
since circle is divided into 6 congruent sectors, area of each sector is 1/6th of area of circle.[tex]ar \: of \: sector \: = ar \: of \: circle \: \div 6 \\ = \pi \times 72 \times 72 \div 6 \\ = 2714.33[/tex]What is the vertex of the quadratic function below?
y = 1/2x^2 + x. + 3
A. (-1,5)
B. (1/2,3)
C. (1,3)
D. (-1/,5/2)
Answer:
C
Step-by-step explanation:
Into the thick of it
I need help with this question it’s about circle angle things it’s for my practice test
Beth will you help Andy with his algebra?
which punctuation mark is missing in the sentence?
A),
B)!
C)´
D)-
Answer:
A)
Step-by-step explanation:
mark me brainliest plzzzzzzz
Find the area of each figure
Answer:
92
Step-by-step explanation:
this figure can be "split" into 3 sub-figures.
one rectangle in the middle, one triangle to the right, and one triangle on top.
these areas we can calculate very easily. and then we simply sum up all 3 of them and we have the answer.
it is clear, the area of a rectangle is length×width.
and the area of triangle is baseline×height/2.
where in a right-angled triangle one of the sides next to the 90 degree angle is the baseline and the other is the height.
the rectangle
R = 10×6 = 60
the triangle to the right
T1 = (14-10)×6/2 = 12
the triangle on the top
T2 = 10×(10-6)/2 = 20
so, the total area is
60+12+20 = 92
The area of the given figure is 92.
This figure contained 3 sub-figures.
One rectangle in the middle, one triangle to the right, and one triangle on top.
The area of these areas we can calculate very easily. and then we ad all 3 of them and we have the answer.
What is the area of a rectangle?The area of a rectangle is,
[tex]A=length\times width.[/tex]
What is the area of triangle?The area of triangle is
[tex]A^*= \frac{1}{2} \times base\times height[/tex]
Where in a right-angled triangle one of the sides next to the 90 degree angle is the baseline and the other is the height.
The area of rectangle
[tex]R =l\times w \\R=10\times 6 \\R= 60[/tex]
The triangle to the right
[tex]T_1 = (14-10)\times 6/2 = 12[/tex]
The triangle on the top
[tex]T_2 = 10\times (10-6)/2 = 20[/tex]
Therefore, the total area is,
60+12+20 = 92
Therefore the area of the given figure is 92.
To learn more about the area visit:
https://brainly.com/question/3948796
HELP ME I'LL MARK AS BRAINEST PLZ HELP ME!!! (=0)
Answer:
9/10 x 4/5 = 36/50 simplified = 18/25 is your area
