Answer:
a³-b³=(a-b)³+3ab(a-b)
or
(a-b)(a²+b²+ab
Step-by-step explanation:
:/
1. Which expression can be factored into the form (ax + b)(ax - b), where
a and b are rational numbers?
4n2 - 81
2n2 - 49
2n2 + 49
4n2 + 81
The expression that can be factored into the form (ax + b)(ax - b), where a and b are rational numbers, is 4n² - 81.
What are the factors?A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.
Here,
A.
4n² - 81,
This can be factored as (2n - 9)(2n + 9), which is of the form (ax + b)(ax - b).
B.
2n² - 49,
This can be factored as (n - 7√2)(n + 7√2), but not in the form (ax + b)(ax - b).
C.
2n² + 49:
This cannot be factored into the form (ax + b)(ax - b) using rational numbers. We can factor it over the complex numbers as (n + i√49/2)(n - i√49/2), where i is the imaginary unit, but this does not satisfy the conditions of the problem.
D.
4n² + 81,
This cannot be factored into the form (ax + b)(ax - b)
Therefore, the expression that can be factored into the form (ax + b)(ax - b), where a and b are rational numbers, is 4n2 + 81.
Learn more about Factors here:
https://brainly.com/question/24182713
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1. Mr. Sanchez has a bag of marbles. The bag contains 4 red marbles, 3 green marbles, and 3 blue marbles. Mr. Sanchez will be randomly selecting one from his bag. What is the probability in decimal form that the marble selected will be red
Answer:
0.4 aka 4/10 or 2/5
Step-by-step explanation:
total is 10 and there is 4 red marbles
-5x + y = -1x
10x - 2y = 2
Answer: Below is the first one
Step-by-step explanation: Second one is right here x=1/5+y/5
Anyone know the correct answer?!
Answer: Lower-right corner [tex]3^7 \times \frac{1}{3^4}[/tex]
Explanation:
We use the rule that
[tex]a^{-b} = \frac{1}{a^b}[/tex]
The negative exponent tells us to apply the reciprocal if we want the exponent to be positive.
In this case, a = 3 and b = 4
So,
[tex]a^{-b} = \frac{1}{a^b}\\\\3^{-4} = \frac{1}{3^4}[/tex]
which is why overall,
[tex]3^7\times 3^{-4} = 3^7 \times \frac{1}{3^4}[/tex]
Write the first 3 terms for the given formula
f(n) = 2n + 10 for starting with n = 1
3z squared minus 6z if z = 5
Answer:
45
Step-by-step explanation:
Given
3z² - 6z ← substitute z = 5 into the expression
= 3(5)² - 6(5)
= 3(25) - 30
= 75 - 30
= 45
Answer:
Step-by-step explanation:
First, convert the z’s to numbers.
3(5) squared - 6(5)
do the squared first
3(25)-6(5)
multiply
75-30=45
Answer:45
WILL MARK BRAINLIEST Person A buys 10 granola bars and 6 cups of yogurt for $18. Person B buys 5 granola bars and 4 cups of yogurt for $9.50. Find the cost
of each item.
Answer:
Yogurt : 0.5
Granola Bars: 1.5
Step-by-step explanation:
(HURRY) Shanice won 88 pieces of gum playing the bean bag toss at the county fair. That was 4 more than twice as many as Greg. How many pieces of gum did Greg win? Which equation can be used to solve the problem?
Answer:
Greg won 42 pieces of gum
Step-by-step explanation:
PLSS HELP ME!! ASAP!! I WILL GIVE YOU BRAINLYEST!!
What is the best estimate of the area of the figure in square inches?
Answer:
86.1372 -------> 86.1 (Nearest Tenths)
86.1372 -------> 86.14 (Nearest Hundreths)
86.1372 --------> 86.137 (Nearest Thousandths)
Step-by-step explanation:
Semicircle: 3.14*[tex]3^{2}[/tex]/2 = 14.1372
Triangle: 4*6 = 24/2 = 12
Rectangle: 10*6 = 60
14.1372 + 12 + 60 = 86.1372
86.1372 -------> 86.1 (Nearest Tenths)
86.1372 -------> 86.14 (Nearest Hundreths)
86.1372 --------> 86.137 (Nearest Thousandths)
Jerry had k pencils. darcy and leonard then gave jerry an additional x pencils each. which expression could represent the number of pencils jerry has now?
Answer:
[tex]k[/tex]+([tex]x[/tex]×[tex]x[/tex])
Step-by-step explanation:
k is the number of pencils jerry has, and x is the number of pencils darcy and leonard gave him EACH. So you need to multiply 'x' x2 to get the total ammount of pencils they gave him, then add 'k' to know how much in total he has now.
hope it helped! (3
Part A The ordered pair that represents the intersection of the x-axis and y-axis is called the _ A endpoint B origin C x coordinate D y coordinate. Part B the coordinates of the origin are _ A (1,1) B (0,1) C (0,0) D (1,0) I will give 15 brain
Answer: Part A. B origin Part B. C(0,0)
Step-by-step explanation:
In a coordinate plane, there are two axes
1) x-axis which is the horizontal axis.
2) y-axis which is the vertical axis.
The intersection of both the axes is known as the origin whose coordiantes are (0,0), i.e. at this point value of x =0 and value of y =0.
Part A: The ordered pair that represents the intersection of the x-axis and y-axis is called the origin.
Part B: The coordinate. Part B the coordinates of the origin are (0,0).
Answer:
A 1,1
Step-by-step explanation:
please help me will mark brainliest
Answer:
What do you need help with
Step-by-step explanation:
(11 + 5) - 7(2 - 1) - 4
show work
Answer:
answer is 5 hope it helps
Answer:
5
Step-by-step explanation:
11+5=16
2-1=1
(16)-7(1)-4
16-7-4
16-7-4=5
HELP I NEED HELP ASAP
In the function y= 1/3x^2,
what effect does the number 1/3 have on the graph,
as compared to the graph of the function y= x^2
A. It stretches the graph horizontally by a factor of 3.
B. It shrinks the graph horizontally to 1/3 its original width.
C. It shrinks the graph vertically to 1/3 its original height.
D. It stretches the graph vertically by a factor of 3.
Leah leaves school to go home. She walks 5 blocks north and then 8 blocks west. How far is Leah from the school?
Answer:
13 Blocks Away From School
Step-by-step explanation:
5 + 8 Is 13
Answer: 13 blocks from school
Step-by-step explanation:
A population of 35 foxes in a wildlife preserve doubles in size every 15 years. the function y=35•2^x , where x is the number of 15-year periods, models the population growth. how many foxes will be after 45 years?
Answer:
reee
Step-by-step explanation:
skreeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
105
Step-by-step explanation:
15×3
45
35×3=105
Find the measure of each angle indicated. Show work.
Answer:
? = 109 degrees
Step-by-step explanation:
45 + 75 + _ = 180 ( look for vertical angles)
45 + 75 + 60 = 180
60 +79 + _ = 180 (look for a straight line that forms 180 degrees)
60 + 79 + 41 = 180
68 + 41 + _ = 180 (look for a triangle that adds up to 180)
68 + 41 + 71 =180
180 - 71 = 109 (look for a linear pair)
The scale of a map is 1:4 000 000. Hint: 1:4 000 000 means that 1cm on the map = 4 000 000 on the ground. The distance between Leeds and London on this map is 8.125cm. Calculate the actual distance between Leeds and London. Give your answer in kilometres.
Answer:
325 km
Step-by-step explanation:
Given the scale :
1 : 4 ,000, 000
1cm measure in map = 4000000 on the ground
From the map :
Distance between Leeds and London = 8.125 cm
The actual distance on ground can be calculated thus :
1cm = 4,000,000
8.125cm = x
Cross multiply
x = 32500000 cm
Converting to kilometers :
1 km = 100,000 cm
x = 32500000
Cross multiply
100,000x = 32500000
x = 32500000 / 100000
x = 325
Hence, actual distance between Leeds and London is 325 km
Which statement is true??
write this number in standard form.
(7 x 100) + (4 x 100 ) + (8 x 1,000)
help asap.
this is a 5th grader problem.
thank you.
worth 50 points!
Answer:
(7 x 100) + (4 x 100 ) + (8 x 1,000)
=700+400+8000
=1100+8000
=91009100 is the right answer.A bag contains:
• 5 red marbles
• 6 blue marbles
• 3 green marbles
• 4 black marbles
• 2 yellow marbles
A marble will be drawn from the bag and replaced 100 times. What is a reasonable prediction for the number of times a green or black marble will be drawn?
Answer:
35/100
Step-by-step explanation:
P(green or black) = 3/20 + 4/20 = 7/20
7/20 = 35/100
Answer:
35 times
Step-by-step explanation:
all of them added together is 20 7/20 7x5=35 because 20 goes into 100 5 times
f(x) = -x^2+10x - 17
Answer:
theres a graph with the vertex values if that's what you were looking for
Step-by-step explanation:
What is 4 9/29 + 6 5/58 ?
Answer:
it 10 23/58
Step-by-step explanation:
i need to learn more and pay attention
duane spins a fair spinner what is the probability it will land on 4 write your answer as a decimal
Answer:
Give me what the steps are what are the numbers
Step-by-step explanation:
a) x² when x = 6
b) y² when y= -9
c) z² when z = 0.7
Answer:
a)36
b)-81
c)0.49
Hope it helps..
A car travels for 4 hours at an average speed of 45mph and then 6hours at an average speed of 35mph. Work out the distance travelled.
Answer:
390 miles
Step-by-step explanation:
(45 x 4) + (35 x 6) = 390 miles
What is the slope of this graph?
A. -4
B. 1/4
C. -1/4
D. 4
Answer:
-4 is the slope
Step-by-step explanation:
Because the line is going downwards that makes it a negative and if you count the boxes rise over run. You look for the point where the line meets a box perfectly and then you count the boxes down which is 4 and across which is one which makes it -4/1. So the slope is -4.
PLSSS HELP!! I'LL GIVE BRAINLIEST IF RIGHT Which is the equation of a parabola with a directrix at y = 2 and a focus at (5, 0). A) y = one fourth(x − 5)2 + 1 B) y = one fourth(x + 1)2 − 5 C) y = −one fourth(x + 1)2 − 5 d) y = −one fourth(x − 5)2 + 1
Answer:
The answer is below
Step-by-step explanation:
A parabola is the locus of a point such that its distance from a given line (directrix) and a fixed point (focus) is always the same.
The equation of a parabola with a horizontal line as directrix is given by:
(x - h)² = 4p(y - k)
where y = k - p is the directrix and the focus = (h, k + p)
Given that parabola has a directrix at y = 2 and a focus at (5, 0)
Therefore:
y = k - p
k - p = 2 (1)
focus = (h, k + p) = (5, 0)
h = 5, k + p = 0
k + p = 0 (2)
Solve equation 1 and 2 simultaneously by adding both equations together:
2k = 2
k = 1
Substitute k = 1 in k + p = 0 to find p:
1 + p = 0
p = -1
Therefore h = 5, p = -1 and k = 1
Substitute the values of h, k and p into the equation of a parabola:
(x - h)² = 4p(y - k)
(x - 5)² = 4(-1)(y - 1)
(x - 5)² = -4(y - 1)
x² - 10x + 25 = -4y + 4
-4y = x² - 10x + 21
4y = 10x - x² - 21
35 is 29% of what number
Answer:
10.15 is 29% of 35.
Step-by-step explanation:
