If f(x) and g(x) are equivalent, what must a be?
[f(x) and g(x) in the picture]
![If F(x) And G(x) Are Equivalent, What Must A Be? [f(x) And G(x) In The Picture]](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/Z1TcwrkYfIgfJUhLadz8CZnyYjswkgue.jpeg)
Answers
[tex] \frac{1}{ \frac{1}{3}x - 2 } + 5 = \frac{a}{x - 6} + 5 \\ \\ \frac{a}{x - 6} = \frac{1}{ \frac{1}{3}x - 2 } + 5 - 5 \\ \\\frac{a}{x - 6} = \frac{1}{ \frac{1}{3}x - 2 } \\ \\ a \: (\frac{1}{3}x - 2) = x - 6 \\ \\ a = \frac{x - 6}{\frac{1}{3}x - 2} \\ \\ a = \frac{x - 6}{ \frac{x - 6}{3} } \\ \\ a = (x - 6) \div \frac{x - 6}{3} \\ \\ a = (x - 6) \times ( \frac{3}{x - 6} ) \\ \\ a = 3[/tex]
I hope I helped you^_^
Related Questions
Which matrix multiplication is possible?
o [o 3]-[1 -4
o
:I::
T:
11:40
30
미
1
4
Answers
Answer: D
Step-by-step explanation:
dim A=(a,b), dim B=(c,d), in order to multiply, c=b
1) dim A=(1,2) , dim B=(1,2) but 2≠1
2) dim A=(2,1) , dim B=(2,2) but 1≠2
3) dim A=(2,2) , dim B=(1,2) but 2≠1
4) dim A=(2,1) , dim B=(1,2) 1=1: result (2,2)
Please help...
ITS URGENT!!!!!!!!!!!!!!!!
Answers
Answer:
3.2 × 10⁻²
Step-by-step explanation:
→ First multiply the whole numbers
8 × 4 = 32
→ Now add the powers
32 × 10⁻³
→ Convert into standard form
3.2 × 10⁻²
4. Find a pair of irrational numbers whose product is an integer.
Answers
Answer:
√2 and √3
Step-by-step explanation:
Answer:
Step-by-step explanation:
√2 and 5√2 are two irrational numbers
√2 * 5√2 = [tex]5*\sqrt{2*2} = 5 * 2 = 10[/tex]
and here 10 is an integer
Okay so like for integers I use a number line to help me like negative on one side and positive on the other but how do I deal like with these problems? And please explain :)
Answers
Answer:
Step-by-step explanation:
remember this:-
if +,- comes: change sign to - (eg. 8+(-4)= 8-4=4)
if -,+ comes: change sign to - (eg. 8-(+4)= 8-4=4)
if -,- comes: change sign to + (eg. 8-(-4)=8+4=12)
if +,+ comes: change sign to + (eg. 8+(+4)=8+4=12)
Javier is constructing a door for his son's tree house. The dimensions of the rectangular door are 6a^2-a+2 feet and 3a^2+5 feet. He wants to cut out a square from the door to insert a glass panel, as per the diagram below. The glass panel will have a height of a -3 feet.After Javier removes the square for the glass panel, how much of the door will be made from wood?
Answers
The area of a figure is the amount of space the figure can occupy. [tex]18a^4 + 10[/tex] of the door will be made from the wood.
Given
[tex]Length = 6a^2 + 2[/tex]
[tex]Width = 3a^2 + 5[/tex]
First, calculate the area of the rectangular door
[tex]Area = Length \times Width[/tex]
[tex]Area =(6a^2 + 2) \times ( 3a^2 + 5)[/tex]
[tex]Area = 18a^4 + 6a^2 + 30a^2 + 10[/tex]
[tex]Area = 18a^4 + 36a^2 + 10[/tex]
Next, calculate the area of the glass panel
The dimension of the glass panel is not given, and the diagram is not attached. So, I will assume the dimension of the square glass panel is [tex]6a[/tex].
So, the area of the glass panel is:
[tex]Area = 6a \times 6a[/tex]
[tex]Area = 36a^2[/tex]
To calculate how much wood that will be needed for the rectangular door, we simply subtract the area of the glass panel from the area of the door
[tex]Wood = 18a^4 + 36a^2 + 10 - 36a^2[/tex]
Collect like terms
[tex]Wood = 18a^4 + 10 + 36a^2 - 36a^2[/tex]
[tex]Wood = 18a^4 + 10[/tex]
Considering the assumed value, [tex]18a^4 + 10[/tex] of the door will be made from the wood.
Learn more about areas at:
https://brainly.com/question/16418397
The length of a rectangle is 11cm more than the width. The perimeter is 90cm. Find the length and width of the rectangle.
Answers
Answer:
Length=22.5cm, Breadth=11.5cm
Step-by-step explanation:
Let length be l and width be w.
w+22=l
w+w+w+22+w+22=90
4w=90-22-22
=46
w=46 divided by 4
=11.5
l=11.5+11
=22.5
Hence,
Length of rectangle=22.5cm
Breadth of rectangle=11.5cm
plz help me its due in 10 min 37 points
Answers
Answer:
1. Reason: Given
2. segment PQ is similar to segment PS
3. Reason: Same segment
4. Reason: Side-side-side theorem.
Step-by-step explanation:
Answer:
3 PR=PR
Step-by-step explanation:
show TRI PQR CONGRUENT TRI PSR
QR=SR(GIVEN)
PQ=PS(GIVEN)
PR=PR(COMMON SIDE)
SO BOTH CONGRUENT
-2x - 4 > 8 how much is this
Answers
[tex]\\ \sf\longmapsto -2x-4>8[/tex]
[tex]\\ \sf\longmapsto -2(x+4)>8[/tex]
[tex]\\ \sf\longmapsto x+4>\dfrac{8}{-2}[/tex]
[tex]\\ \sf\longmapsto x+4>-4[/tex]
[tex]\\ \sf\longmapsto x>-4-4[/tex]
[tex]\\ \sf\longmapsto x>-8[/tex]
Answer:
x < -6
Step-by-step explanation:
-2x - 4 > 8
Add 4 on both sides
-2x > 12
Divide -2 on both sides
x < -6
Hope this helps!
What is the horizontal shift for the absolute value function below? Explain how you know using complete sentences.
F(x)=3 | x+6 | +9
Answers
Answer:
The horizontal shift is 6 units left (so -6).
Step-by-step explanation:
The horizontal shift is located inside the absolute value bars. While F(x) adds 6 to x, so you may think it's 6 units right, horizontal shifts are backwards as opposed to vertical shifts: we go 6 units left.
How do we say that the cost of rice and the quantity of rice we purchase are in inverse proportion?
Answers
Answer:
Step-by-step explanation:
I don't think they are. It sounds like a direct proportion to me. The more rice you buy, the higher the cost.
Cost = k * quantity.
That would be the most general formula.
algebra 2A
1.) You and your friends are going on a road trip up the coast to San Francisco to watch the Dodgers play the Giants. The trip is about 810 miles, round trip. The car you are driving gets 288 miles on a full tank. How many times will you need to fill up your tank to make the round trip?
Answers
Answer:
3 times
Step-by-step explanation:
Equation: 810 = 288x
x = 2.8 meaning you need to fill up the tank 3 times
4.7x2 + 9x = 0
We’re using the quadratic formulas and there is no c in the question. Do you do it and just not put the c in the equation? Or is there another way?
Answers
Hey there! I'm happy to help!
In this case c is equal to 0. There is always a, b, and c, but they might be invisible (for example if a is 1 or b or c are 0).
Then you can choose whichever method you like to factor these (completing the square, quadratic formula, factoring, etc.)
The zeros should be 0 and a number that is about -1.9.
Have a wonderful day and keep on learning! :D
what’s the solution of 4= -2(x-3)
Answers
Step-by-step explanation:
Simplifying 4 + -2(x + -3) = 24 Reorder the terms: 4 + -2(-3 + x) = 24 4 + (-3 * -2 + x * -2) = 24 4 + (6 + -2x) = 24 Combine like terms: 4 + 6 = 10 10 + -2x = 24 Solving 10 + -2x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -2x = 24 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = 24 + -10 -2x = 24 + -10 Combine like terms: 24 + -10 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
first remove ()
so 2=-(x-3)
2=-x+3
x=3-2
x=1
3 x 52 x a = a x 2 x 78
Answers
Nancy’s grandma needs 5/8 of a yard of lace for each doll hat she makes. How many doll hats can she make with 10 yards of lace?
Answers
Answer:
16
Step-by-step explanation:
5/8= 0.625
10/0.625= 16
help me, please everyone;-;
Answers
Step-by-step explanation:
Using the power law of indices:
When two numbers with the same base multiply,add the exponents that is
[tex] {a}^{2} \times {a}^{3} = {a}^{2 + 3} = {a}^{5} [/tex]
Again,when two numbers with the same base divide, subtract the exponents,that is
[tex] {a}^{2} \div {a}^{4 } = {a}^{2 - 4} = {a}^{ - 2} [/tex]
There are way too many examples that is why I have elaborated the two laws for your perusal.
So for instance:
1.
[tex] {2}^{2} \times {2}^{5} = {2}^{7} [/tex]
Answer:
2² × 2⁵ = 2⁷
= 128
4⁴ × 4⁶ = 4¹⁰
= 1048576
6² × 6⁷ = 6⁹
= 10077696
9⁸ × 9⁸ = 9¹⁷
= 1.6677182e+16
Do try the rest out yourself!!! You can do it!!!
What are nudibranch? Only some of the most colorful sea creatures on Earth! These marine mollusks boast a variety of
unique shapes and colors, and they live anywhere in the world's oceans, from the tropics to Antarctica. There are many
different types of nudibranchs, some no longer than an inch, and some as long as two feet! Some use toxic appendages
to defend themselves, while others use camouflage. Some even make their own chemicals to keep predators at bay.
Why do nudibranchs have these defenses? Because they are naked! Nudibranch means "naked gills," so named for
their soft bodies and their exposed gills, which sit atop their backs. While common to the ocean, these unusual creatures
can be spotted on underwater dives.
In 2-3 sentences, summarize the information in the paragraph.
Answers
Nudibranchs are a detachment of marine gastropods, close to the snails, but without shell and with a pronounced mantle.
Their secondary cutaneous gills are soft, unprotected outgrowths of integuments of various shapes and are located on the sides or on the dorsal side of the body; some species have no gills at all. They inhabit mainly warm seas and oceans. Some species are poisonous and have a bright color. All nudibranchs are hermaphrodites. They are very picky about their food.
Learn more in https://brainly.com/question/9727521
100 100
What is the decimal form of
3,5
100
and ? Determine whether each
6
decimal repeats or terminates.
Help me please need answers know and please no links.
Answers
5.0
100.0
Terminates
where is the hundredths place in
12.083
?
Answers
Answer:
12.08
Step-by-step explanation:
CAN SOMEONE PLEASEEEE HELP/EXPLAIN THIS ASAP !!!
Answers
Answer:
5th figure is not symmetrical
comment if doubt
Can someone please explain how to find the difference -7 - (-8)
Answers
Answer:
1
Step-by-step explanation:
In the equation -7 - (-8), there are two 'minus' signs; we can convert two minus signs into a plus sign according to the 'minus minus equals plus' rule, that would make the equation (-7) + 8 for which the answer is +1.
Answer:
1
Step-by-step explanation:
-7-(-8)
First you should solve the brackets.Remeber (-) minus into (-) equal (+)therefore;
-7-(-8)= -7+8
when there is a minus and a plus you should minus the two numbers and put the largest value sign.therefore;
-7+8= 1
Hope you understand.If you have any problem just ask me I will solve it.
How do you translate "Forty more than triple a number, x." in a variable expression.
Answers
Answer:
3x + 40
Step-by-step explanation:
"More" means addition and "Triple" indicates multiplication.
So, 3x + 40 is the answer.
Marcie solved the following inequality, and her work is shown below.
What mistake did Marcie make in solving the inequality? (9th grade Algebra 1)
Answers
Answer:
She didn't change the direction of the sign
Step-by-step explanation:
When dividing both sides by a negative number in an inequality, you must change the sign.
Pls Help!! Alex is making bows for her friends out of a long piece of ribbon. A. Alex needs 9 inches of ribbon to make a bow. If she has a foot of ribbon, what fractional part of this length of ribbon is needed to make a bow? (Note: 1 foot = 12 inches)
Also explain how you found your answer.
Answers
Answer:
3/4 of the ribbon is needed to make a bow
Step-by-step explanation:
12 ÷ 4 = 3
so out of that foot of ribbon you use 3/4 of it for the bow
-9+__ =-3 find the missing value
Answers
Answer:
6
Step-by-step explanation:
-9+6=-3
What is the range of the function represented by this graph?
Answers
Answer:
A. y ≤ 1
Step-by-step explanation:
according to the graph, the coordinates of maximum value is (-3, 1) and besides the graph towards down, so, the range of the function is y ≤ 1
karen had 25.30 saved in her piggy bank. she found 3 dimes on her way to school. if she puts them in her piggy bank when she gets home, how much will she have saved?
Answers
All you do is just add the 3 dimes to the $25.30
What is the slope of What the slope of (6, -1) over (7, 3)
Answers
Answer:
4
Step-by-step explanation:
We can find the slope using the slope formula
m = ( y2-y1)/(x2-x1)
= ( 3 - -1)/( 7-6)
= ( 3+1)/( 7-6)
= 4/1
=4
Plz Help me!
Question is shown in the image
Answers
Answer:
Here,
X=(1,4,7,9)
Y=(2,4,5,9)
Now,
i=(1,2,4,5,7,9)
ii=((4,9)
iii=(1,2,4,5,7,9)
iv=(4,9)
Rewrite each angle in radian measure as a multiple of π.
540°
Rewrite each angle in degree measure.
-4π
Answers
Answer:
3π
Step-by-step explanation:
540° = 360° x 1 + 180°
= 2π + π
= 3π
CMIIW