Answer:
(3x²+4y)(3x²-4y)
Step-by-step explanation:
"difference in two squares" is the formula where a²-b²=(a-b)(a+b)
So we need to apply that formula to [tex]9x^{4}[/tex]-16y², where [tex]9x^{4}[/tex] is a and 16y² is b
First, we need to find the two factors, when squared, equal [tex]9x^{4}[/tex] and 16y²
let's start with [tex]9x^{4}[/tex]
9 is 3 squared; [tex]x^{4}[/tex] is x² squared
let's try 3x² as a factor
To double check, we can square it
(3x²)²
apply the Laws of Exponents; square 3 and multiply the power by 2
when you solve, the answer will be [tex]9x^{4}[/tex]
So it works
now let's find the factor for 16y²
16 is 4 squared, and y² is y squared
so let's try 4y
(4y)²
apply the Laws of Exponents; square 4 and multiply the power by 2
the result is 16y²
Also works!
Now let's apply the formula; as said above, [tex]9x^{4}[/tex] is a and 16y² is b
so: [tex]9x^{4}[/tex]-16y²=(3x²+4y)(3x²-4y)
we can even double check this:
multiply the 2 binomials; apply FOIL
[tex]9x^{4}[/tex]-12x²y+12x²y-16y²
the 2 12x²y's cancel out
and the result is
[tex]9x^{4}[/tex]-16y²
Hope this helps!
6
5
21
-2
2
3
Equation:
Answer:
y = 1/2x + 3
Step-by-step explanation:
Rise/Run and since y = 3 when x = 0, then the b part in y = mx + b is 3.
X, Y and Z are three points on a map. Y is 43km and on a bearing of 041° from X. Z is 67km and on a bearing of 117° from X. Calculate the distance between Y and Z rounded to 1 DP
Answer:
70.3km
Step-by-step explanation:
When the bearings are visualized and the points connected as a triangle, The angle x would be the difference of the both bearings from x
i.e 117-41 = 76
Using cosine rule,
YZ²= 43² + 67² - 2 x 43 x 67
cos76
YZ= √4944
= 70.3
a car crosses a bridge 400 m long at 80km/h. how long does it take to cross the bridge
Answer:
18 seconds
Step-by-step explanation:
convert km/h to m/s and you get 22.22m/s. Then divide 400 by 22.22 and the answer is 18 seconds.
Hopefully this helps! Let me know if you have any questions!
Jacob was out at a restaurant for dinner when the bill came. His dinner came to $18. After adding in a tip, before tax, he paid $20.70 find the percent tip
Does anyone know the correct answer for this!?!!
Answer:
2
Step-by-step explanation:
Use the vertex form equation first since you are given the vertex (-1,-2) where you have (h,k) so h = -1 and k = -2
y = [tex]a (x - -1)^{2}[/tex] + (-2) so if you simplify we get y = a(x+1)^2 -2
Since we are also given a point we can solve for a so x = 2 and y = 16
16 = a(2+1)^2 - 2
16 = a(3)^2 - 2
18 = 9a
a = 2
The length of the base of an isosceles triangle is x. The length of a leg is 3x + 2. The perimeter of the triangle is 39. Is there enough information to solve for x? If so, find x. A. Not enough information B. 9 о с. 5 D. 12.5
Answer:
Step-by-step explanation:
2(3x+2) + x = 39
6x+4+x = 39
7x = 35
x = 5
what is the value of x in this figure?
23
43
57
80
Answer:
Step-by-step explanation:
Supplement of 123° = 180°-123° = 57°
x = 180-57-80 = 43°
An aquarium has 14 angel fish, 12
clownfish and 18 seahorses. What is the
ratio of seahorses to total number of fish?
Answer:
18 : 26
Step-by-step explanation:
It is very easy, angel fish and clown fish are fish, so once you add them up you get 26. The seahorses are 18 and we are supposed to make them S:F. Therefore you put the seahorses first and the fish second, so you get the answer 18:26
Find the slope and the y-intercept of the line.
5x-4y=-8
Write your answers in simplest form.
Answer:
The slope is 5/4 and the y-intercept is 2.
Step-by-step explanation:
5x-4y=-8
4y=5x-(-8)
4y=5x+8
y=5/4x+8/4
y=5/4x+2
y=mx+b where m=slope and b=y-intercept.
here are the score that Jenna has received on her seven quizzes 16 13 20 16 12 17 18 what is the mean
Answer:
so you're adding up all the numbers together so 16+13+20+16+12+17+18=112
then you are dividing it by how many numbers there are so there are 7 numbers in total 112÷7=16
Do 14-15 please.I’m begging youuu!
Answer:
14. T = 20 + 1.50d so T = 44, 15. p = 1.25s - 135 must sell 109 to make a profit
Step-by-step explanation:
14. T = 20 + 1.50d so for 16 deliveries T = 20 + 1.50(16) , T = 44
15. p = 1.25s - 135 so if they sell 109 items (s) there is a profit since the profit starts after the original cost is recovered
can u help me with this??
I need help please!!
Answer:
the initial amount of investment is 1000$, it grows at a rate of 1.1%, and the value after 10 years is 2853.12.
Step-by-step explanation:
i hope this helps!
1.) Find f(4) for f(x) = 3x - 4
The graph of the invertible function f is shown on the grid below
What is the value of f^-1(6)
Given:
The graph of an invertible function [tex]f[/tex] is given.
To find:
The value of [tex]f^{-1}(-3)[/tex].
Solution:
We know that, if the graph of an invertible function [tex]f[/tex] passes through the point (a,b), then the inverse function [tex]f^{-1}[/tex] passes through the point (b,a).
From the given graph it is clear that the graph of the function [tex]f[/tex] passes through the points [tex](-5,-3)[/tex].
So, the inverse function [tex]f^{-1}[/tex] must be passes through the point [tex](-3,-5)[/tex].
Therefore, the value of inverse function is [tex]-5[/tex] at [tex]x=-3[/tex]. So, the value of [tex]f^{-1}(-3)[/tex] is [tex]-5[/tex].
Answer: -5
Step-by-step explanation:
khan academy
someone plssss helpppp
If WZ = 23 and XZ = 18, what is YZ?
pls help
Answer:
YZ = 14
Step-by-step explanation:
We are told that;
WZ = 23 and XZ = 18
Now, ∠X in △XWZ which is a right angle triangle can be gotten using trigonometric ratio.
Thus;
WZ/XZ = tan θ
23/18 = tan θ
tan θ = 1.2778
θ = tan^(-1) 1.2778
θ = 51.95°
Now, the ∠X is 90° in △XWY.
Thus, in △XZY, ∠X = 90 - 51.95 = 38.05°
Again, using trigonometric ratio, we can find YZ.
Thus;
YZ/XZ = tan 38.05°
YZ = XZ tan 38.05°
YZ = 18 × 0.7827
YZ = 14.0886
Approximating to a whole number gives: YZ = 14
Gabriel took a bath on Monday evening. He measured the water and found that he used 1,235l of water. On Tuesday, he took a shower and only used 478 litres of water. What was the difference in volumes? How much water did he used in total?
Answer:a)757liters
b)1, 713 litres
Step-by-step explanation:
Amount of water used on Monday =1,235l
Amount of water used on Tuesday =478liters
Difference in volumes for the two days
=1,235l -478l
=757liters.
Total amount of water used up in Total
1,235litres +478liters
=. 1, 713 litres.
Picking a blue marble, a green marble, and another blue marble (replacing it in the bag each time) from a bag of 2 blues, 4 reds, and 4 greens
Decide whether the data in the table represent a linear function or an
exponential function. Explain how you know.
х
y
1
4
-5
3
-14
сл - IN
-23
-32
A. The data represent an exponential function because there is a
common ratio of 4.
B. The data represent a linear function because there is a common
difference of 9
C. The data represent an exponential function because there is a
5
common ratio of -
D. The data represent a linear function because there is a common
difference of -9.
Answer:-8
Step-by-step explanation:
The data represent a linear function because there is a common difference of -9.
What is a linear function?The term linear function refers to two distinct but related notions: In calculus and related areas, a linear function is a function whose graph is a straight line, that is, a polynomial function of degree zero or one.
Given, the table, we need to see whether the data in the table represent a linear function or an exponential function.
From the table, we have the following highlight :-
As the values of x increase by 1, the values of y decrease by 9
A decrement of 9, means -9
This means that, the common difference is -9.
Only a linear function can have a common difference.
Hence, the true statement is (b)
Read more about linear functions at:
brainly.com/question/15602982
#SPJ2
PLEASE HELP!! IM STUCK
Suppose the path of a golf ball follows the path graphed by the function f(d) = -1.6d^2 + 3.3d + 0.2 where d is the horizontal distance the ball travels, and f(d) is the height, in meters, of the ball at d horizontal meters. Find the maximum height of the ball; use the vertex
Answer:
D) 1.9 meters
Step-by-step explanation:
a= -1.6, b=3.3, c=0.2
vertex is (1, 1.9)
A student earns an 80% on their science test. If she got 20 questions correct, how many total were on the test?
Answer:
25 questions
Step-by-step explanation:
20 questions = 80% If she got 80%, that means she got 20 questions correct.
5 questions = 20% Here, we simply just divide by 4 to give us 20%.
25 questions = 100% The total of the test would of course equal 100%, so we just multiply by 5 to give the total questions.
I hope this helps you!! ^-^
Answer:
25.
Step-by-step explanation:
By proportion it is
(100/80) * 20
= 1.25 * 20
= 25.
PLS. HELPPPP I WILL GIVE BRAINLITES
12 What is the slope of this line?
Answer:
positive slope
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
simplify y^3 + 11y^2 - 10y + 6 / y + 2
Answer: used the synthetic division method
y^2+9y-28+(62/y+2)
Step-by-step explanation:
Help!!!!!!!! And again this is only a review!!!!!!!! Question is on image below.
Answer:
is it this one?
Step-by-step explanation:
Raj is 53.56 inches tall. He is 1.3 times as tall as his younger sister. How tall is Raj's younger sister
Answer:
41.2 inches tall
Step-by-step explanation:
53.56 / 1.3 = 41.2
Step-by-step explanation:
Let Raj's sister's height be x
53.56= 1.3x
= 53.56/1.3=x
= 41.2=x
Help me with this!!! ( fake answers will be reported)
Answer:
16
Step-by-step explanation:
3x-8=2x
x=8
QR=2*8=16
Ron made 3 pitchers of lemonade sell at a lemonade stand. The cost of making the lemonade is 50 cents per pitcher of lemonade.
He sold each cup of lemonade for 15 cents, and he sold a total of 36 cups of lemonade.
How much money did Ron make selling lemonade after paying out the cost of making the lemonade?
Answer:
Step-by-step explanation:
cost = 3 pitchers × $0.50/pitcher = $1.50
revenue = 36 cups × $0.15/cup = $5.40
profit = $5.40 - $1.50 = $3.90
Please when answering show your full work. Step-by-step process.
One third as warm as Florida