which expression is the equivalent to the given expression
(3m-4)³(3m³)
Answer:
81m^6 - 323 m^5 + 432m^4 - 192m^3
Step-by-step explanation:
Comment
If you are given choices, you should list them please. Otherwise we cannot be certain our answers are taken far enough.
The general formula for expanding a binomial raised to the third power is
(a - b)^3 = a^3 - 3a^2b + 3ab^2 - b^3
Solution
To modify the general formula to suit this problem, let
a = 3m
b = - 4
When that is done, the general equation becomes
(3m)^3 - 3* (3m)^2 * 4 + 3 * 3m * 4^2 - 4^3
(3m - 4)^3 = 27m^3 - 108 m^2 + 144m - 64
Multiply everything in the 4-nomial by 3m^3
(27m^3 - 108 m^2 + 144m - 64)3m^3
81m^6 - 323 m^5 + 432m^4 - 192m^3 which is your answer. I see why you didn't include it, with other (incorrect) possibilities.
Select the correct answer from each drop-down menu.
onsider this equation.
-1-5 = I-8
The equation has
and
A valid solution for x is
The equation √(x – 1) – 5 = x – 8 has the solution 2 and 5. But the valid solution for x will be 5.
The complete question is attached below.
What is the solution of the equation?The solution of the equation means the value of the unknown or variable.
The equation is given below.
√(x – 1) – 5 = x – 8
Add 5 on both sides, then we have
√(x – 1) = x – 3
Square on both sides, then
x – 1 = (x – 3)²
x – 1 = x² – 6x + 9
x² – 7x + 10 = 0
Then the factor of the equation will be
x² – 7x + 10 = 0
x² – 5x – 2x + 10 = 0
(x – 5)(x – 2) = 0
x = 5, 2
Then the valid solution will be 5.
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a) Work out (2.3 x 10 to power of 4 x (1.5 x 10 to power of negative 2
Give your answer in standard form.
b) Work out (3.6 x 10 to power of negative 5 + (1.8 x 10 to power of 2)
Give your answer in standard form.
Answer:
A. 345
B. 180
Step-by-step explanation:
That is the right answer
Josefin is 32 years younger than Anette. How many years ago was Anette's age twice Josefin's age if Anette is 74 now?
What is the gradient of the line y = -7x + 13?
Answer:
y = 7 x - 13. y=7x−13. Swap sides so that all variable terms are on the left hand side. Swap sides so that all variable terms are on the left hand side.7x-13=y. 7x−13=y. Add 13 to both sides. ... 7x=y+13. 7x=y+13. Divide both sides by 7. ... \frac{7x}{7}=\frac{y+13}{7} 77x=7y+13 Dividing by 7 undoes the multiplication by 7.
Step-by-step explanation: hope this helps
Answer:
-7
Step-by-step explanation:
Equation of a graph problem
Answer:
this quantity refers to the amount that a container can hold.
WILL GIVE ANOTHER 100 POINTS IN A SEPREATE QUESTION IF YOU ANSWER
Write a short essay researching different fields and how they use geometry or trigonometry. Discuss the field that you have chosen does (50 points) and how that field uses geometry or trigonometry (50 points). Use complete sentences and at least 3 paragraphs.
The fields in which Trigonometry is well applied and their explanations are as explained below.
What is the Importance of Trigonometry?The three fields that trigonometry is useful are as described below;
1) In construction;
Trigonometry is useful in Construction field because it can be used in measurement of walls parallel and perpendicular; Installing ceramic tiles; Roof inclination; the height of the building, the width length e.t.c. It is also useful in finding roof slopes, ground surfaces, sun shading and light angles.
2) In marine biology;
Marine biologists utilize trigonometry to establish measurements. For instance, when trying to find out the manner in which light levels at different depths affect the ability of algae to photosynthesize. Trigonometry is used in finding the distance between celestial bodies. Marine biologists also use it to create mathematical models to measure and understand sea animals and their behavior.
3) In criminology:
In criminology, trigonometry is useful in calculating a projectile’s trajectory in order to estimate the possible cause of a collision in a car accident or the manner in which an object fall down or in which angle a bullet was shot etc.
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Find the midpoint of the segment with the following endpoints. (-9, 8) and (-4, -2)
The mid point of the segment with the following endpoints. (-9, 8) and (-4, -2) is (-6.5, 3)
How to find mid point ?The mid point of the segment can be found as follows;
The endpoint is a follows:
(-9, 8) and (-4, -2)
Therefore,
mid point = (x₁ + x₂ / 2, y₁ + y₂ / 2)
hence,
mid point = (-9 - 4 / 2, 8 - 2 / 2)
mid point = (-13 / 2 , 6 / 2)
mid point = (-6.5, 3)
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Perpendicular segments are best described as being which of the following?
A. Segments that intersect
B. Segments that are coplanar
C. Segments that will never intersect
D. Segments that intersect at a right angle
Answer:
D
Step-by-step explanation:
Perpendicular lines intersect at a 90° angle.
Answer:
D. Segments that intersect at a right angle
Step-by-step explanation:
This is a sketch of the curve with equation y = f(x).
The curve has a minimum point at M(-1, -3).
Write down the coordinates of the minimum point
of the curve with equation
y = f(x) - 2
Answer:
(-1, -5)
Step-by-step explanation:
Each point on a graph is the ordered pair (x, f(x)). Then the point M(-1 -3) is the ordered pair (-1, f(-1)) where f(-1) = -3.
A point on the shifted graph will be ...
(x, f(x) -2)
Then for x = -1, the point is ...
(-1, f(-1) -2) = (-1, -3 -2) = (-1, -5)
The minimum on the shifted curve is M'(-1, -5).
_____
Additional comment
f(x) is the y-coordinate of a point on a graph. Then f(x) -2 is the y-coordinate shifted down 2 units.
A package of 12 hex bolts and 10 anchor bolts weighs 7 pounds. A second package of 5
hex bolts and 15 anchor bolts weighs 4 pounds. A single hex bolt weighs ___________
pounds, rounded to one decimal place
Answer:
0.5
Step-by-step explanation:
Let h = weight of 1 hex bolt Let a = weight of an one anchor bolt1) (12h + 10a = 7) × 3 ⇒ (1) 36h + 30a = 21
2) (5h + 15 = 4) × -2 ⇒ + (2) - 10h - 30a = 8
----------------------
26h = 13
----- -----
26 26
h = 13 ÷ 13
---
26 ÷ 13
h = 1
---- = 0.5
2
Answer:
1 hex bolt weight 0.5 lbs.
one gym membership charges $10 a month with a sign-up fee of $45. Another gym does not charge patrons a sign-up fee but costs $25 a month. at what month is the total cost of both memberships the same?
Answer:
3 MonthsStep-by-step explanation:
Answer:
3 months
Step-by-step explanation:
G1= 10 m +45
G2=25
10 m + 45= 25 m
10 m - 25 m = -45
-15 m/-15=-45/-15
m=3
∴ it's 3 months
Enlarge shape by scale factor 3
Explanation:
When you change the size of a shape by a scale factor ("enlarge" means increasing the shape by a scale factor > 1), you increase all dimensions of that shape by a factor.
For example, if a rectangle's length is 2 units [two boxes in this case]. you make that size 6 units [2 · 3 = 6]; and if its width is 1 unit, you make that 3 units [1 · 3 = 3]
[scaling up our dimensions:]
So, we apply the same logic here. Any side length is now three times longer, so when the original length [along the bottom] was two boxes, that should now cover 6 boxes.
The height of 1 box [left side] will now be expanded to 3 boxes.
The other height of 2 boxes will now be 6 boxes [2 · 3 = 6]
The slanted portion should be easy to connect between your new side lengths and width
[but you could always use Pythagorean theorem to figure out the length; it would be 1² + 2² = c², or 5 = c², so the literal length of this side would be √5 ; you probably aren't expected to do this / you don't have to]
You didn't show the new graph to graph it on, but this is how you would graph it.
hope this helps!! have a lovely day :)
What is the length of A. 7 B. 4 C. 8 OD. 1 3 X +3 ? What is the length of A. 7 B. 4 C. 8 OD . 1 3 X +3 ?
Answer: 4
Step-by-step explanation:
Sides opposite congruent angles in a triangle are congruent, so:
4x = x + 33x = 3 [subtract x from both sides]x = 1 [divide both sides by 3]So, MN = 1 + 3 = 4
150 - 4n, find the first negative term
Solve |x — 6| = 8.
X
OA.
A. x 14 and x = -2
X=
OB. x = -14 and x = 2
OC. x =
14 and x = -14
D. x =
-14 and x = -2
x = 14 and x = -2
===========================================
Work Shown:
[tex]|x-6| = 8\\\\x-6 = 8 \ \text{ or } \ x-6 = -8\\\\x = 8+6 \ \text{ or } \ x = -8+6\\\\x = 14 \ \text{ or } \ x = -2\\\\[/tex]
-------------
Checking the answer x = 14
[tex]|x-6| = 8\\\\|14-6| = 8\\\\|8| = 8\\\\8 = 8\\\\[/tex]
That solution is confirmed.
Repeat for x = -2
[tex]|x-6| = 8\\\\|-2-6| = 8\\\\|-8| = 8\\\\8 = 8\\\\[/tex]
The second solution is confirmed.
Answer: A. x = 14, x = -2
Step-by-step explanation:
|x-6| = 8
this means x = 6+8 and x = 6-8
therefore, x = 14, x = -2
how to solve this???
[tex]\large\sf{\sqrt{\frac{1+sin\theta}{1-sin\theta}}+\sqrt{\frac{1-sin\theta}{1+sin\theta}}}[/tex]
[tex]\\[/tex]
[tex]\large \sf{=\frac{\left(\sqrt{1+sin\theta}\right)^{2}+\left(\sqrt{1-sin\theta}\right)^{2}}{\sqrt{(1-sin\theta)(1+sin\theta)}}}[/tex]
[tex]\\[/tex]
[tex]\large\sf{=\frac{1-sin\theta+1+sin\theta}{\sqrt{1^{2}-sin^{2}\theta}}}[/tex]
[tex]\\[/tex]
[tex]\large \sf{=\frac{2}{\sqrt{cos^{2}\theta}}}[/tex]
[tex]\\[/tex]
[tex]\large\sf{= \frac{2}{cos\theta}}[/tex]
[tex]\\[/tex]
[tex]\large\sf{= 2sec\theta}[/tex]
[tex]\\[/tex]
[tex]\large\sf{=RHS}[/tex]
Therefore,
[tex]\large\sf\red{\sqrt{\frac{1+sin\theta}{1-sin\theta}}+\sqrt{\frac{1-sin\theta}{1+sin\theta}}=2sec\theta}[/tex]
Which of these r-values represents the strongest correlation?
A. -0.7
B. -0.8
C. -0.6
D. -0.9
Answer:
D
Step-by-step explanation: the larger abs(r value) is, (abs of r closest to 1) the better the correlation. Negative values indicate a negative correlation (negative slope)
[39/(15-2)|-(2*9)
someone solves this please, I keep getting different answers and everytime I look up the answer every website shows a different answer..
Answer:
[39/(15-2)]-(2×9) = -15
Step-by-step explanation:
[39/(15-2)]-(2×9)
Let’s start with this part : 39/(15-2)
According to the order of operations parentheses comes before division
then
39/(15-2) = 39/(13) = 39/13 = 3
We get [39/(15-2)]-(2×9) = 3 - (2 × 9)
…………………………………………
Calculating 3 - (2 × 9)
According to the order of operations parentheses and multiplication comes before division
Then
3 - (18) = 3 - 18 = -15
Thus
[39/(15-2)]-(2×9) = -15
Which point is a solution to the system?
O (-1, 6)
O (0, 22)
O (2,9)
O (8, 2)
Answer: (2,9)
Step-by-step explanation:
It lies in the region that is shaded both red and blue (representing the fact that it satisfies both inequalities).
ENS of soda (input)
60
70
80
90
100
110
Earnings (output)
$ 24
$28
$ 32
$36
$ 40
$ 44
How many liters would you have to sell to earn
$36?
000
Clear all
Enter the correct answer.
000
2
DONE
Answer:
90 liters
Step-by-step explanation:
please mark me as brainlest
7, 9, 13 are the first three terms of a sequence with
nth term = an² + bn + c.
(i) By substituting n = 1, 2 and 3 set up three simultaneous equations in
a, b and c.
(ii) Solve your simultaneous equations and hence write down an
expression for the nth term.
(i) The simultaneous equations in a, b and c are a+b+c = 7 , 4a+2b+c = 9 & 9a+3b+c = 13
(ii) Expression for nth term = n²-n+7
The first three terms of the sequence are 7, 9, 13
nth term = an²+bn+c
If we put n = 1 then,
1st term = a(1)²+b+c
⇒ a+b+c = 7 ......(1)
If we put n = 2 then,
2nd term = a(2)²+b×2+c
⇒ 4a+2b+c = 9 ........(2)
3rd term = a(3)²+b×3+c
⇒ 9a+3b+c = 13 .......(3)
Multiplying 4 with (1) and subtract (2) from (1) we get,
(4a+4b+4c)-(4a+2b+c)=28-9
⇒ 4a+4b+4c-4a-2b-c=19
⇒ 2b+3c=19 .....(4)
Multiplying 9 with (1) and subtract (3) from (1) we get,
(9a+9b+9c)-(9a+3b+c)=63-13
⇒ 9a+9b+9c-9a-3b-c=50
⇒ 6b+8c=50
⇒ 3b+4c=25 .....(5)
Multiplying 3 with (4) and multiplying 2 with (5), then subtract (5) from (4),
3(2b+3c)-2(3b+4c)=57-50
⇒ 6b+9c-6b-8c=7
⇒ c = 7
From (5),
3b+28 = 25
⇒ 3b = -3
⇒ b = -1
From (1),
a+(-1)+7 = 7
⇒ a-1=0
⇒ a=1
So, nth term = n²-n+7
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In the figure below, segment HK and segment IJ intersect at P, and segment HI is parallel to segment Jk. Which of the following angles must be congruent to angle PKJ?
Answer:
angle PHI
Step-by-step explanation:
Using the alternate interior angle theorem, we can figure out that PHI is congruent to PKJ
Line I has a slope of -The line through which of the following pair of
13
points is perpendicular to l?
The points (2,6) (-4,-7) have a slope of 13/6 which satisfies the perpendicular condition option (B) is correct.
What is the slope?The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The question is incomplete.
The complete question is:
Line L has a slope of -6/13. The line through which of the following pair of points is perpendicular to L?
A) (6,-4) (-7,2)
B) (2,6) (-4,-7)
C) (6,9) (-4,-4)
D) (13,-4) (-7,2)
Line L slope m = -6/13
If two lines are perpendicular:
(m)(m') = -1
(-6/13)(m') = -1
m' = 13/6
From the points given finding the slope of every point:
A) (6,-4) (-7,2)
[tex]\rm m' =\dfrac{2+4}{-7-6}[/tex]
m' = -6/13
B) (2,6) (-4,-7)
[tex]\rm m' =\dfrac{-7-6}{-4-2}[/tex]
m' = 13/6
Thus, the points (2,6) (-4,-7) have a slope of 13/6 which satisfy the perpendicular condition option (B) is correct.
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write the explicit rule for the nth term of the arithmetic sequence. then find the 43rd term (3,5,7….)
Rearrange x = 3g + 2 to make g the subject.
Answer:
g = [tex]\frac{x-2}{3}[/tex]
Step-by-step explanation:
x = 3g + 2 ( subtract 2 from both sides )
x - 2 = 3g ( divide both sides by 3 )
[tex]\frac{x-2}{3}[/tex] = g
Answer:
g = 1/3x - 2/3Step-by-step explanation:
x =3g + 2
3g + 2 = x
3g = x - 2
g = 1/3 x - 2/3
Answer: g = 1/3x - 2/3
1. y = 5 x Reflected across the x-axis 2. y = 5 –x+ 5 Reflected across the y-axis 3. y = 5 –x + 5 Translated down by 5 units 4. y = 5 –x – 5 Translated up by 5 units 5. y = –5 –x Translated left 5 units 6. y = 5 –x – 5 Translated right by 5 units
The matchup are:
1. Translated left 5 units - y = 5⁻ ˣ ⁻ ⁵ 2. Translated right by 5 units - y= 5⁻ ˣ ⁺ ⁵3. Translated up by 5 units - y = 5⁻ˣ + 54. Translated down by 5 units - y = 5⁻ ˣ -5 5. Reflected across the x-axis - y= - 5 ⁻ ˣ6. Reflected across the y-axis -y = 5ˣWhat is Translation and reflection?Reflection is known to be the turning over an object across a line and it is one where we do not need to change its size or shape.
While Translation is said to be sliding a figure into another direction and it is one where we do not need to change its size, shape or make.
The Translation and reflection matchup are given:
1. Translated left 5 units - y = 5⁻ ˣ ⁻ ⁵ 2. Translated right by 5 units - y= 5⁻ ˣ ⁺ ⁵3. Translated up by 5 units - y = 5⁻ˣ + 54. Translated down by 5 units - y = 5⁻ ˣ -5 5. Reflected across the x-axis - y= - 5 ⁻ ˣ6. Reflected across the y-axis -y = 5ˣSee full question below
Match each function formula with the corresponding transformation of the parent function y = 5-^x Please help ASAP!!
1. y = 5x
Translated left 5 units
2. y = 5–x + 5
Translated right by 5 units
3. y = 5–x – 5
Translated up by 5 units
4. y = 5–x+ 5
Translated down by 5 units
5. y = –5–x
Reflected across the x-axis
6. y = 5–x – 5
Reflected across the y-axis
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Guysss I need to know the question
If you skip count by 4’s starting with 8, what will the 11 number be?
I need to know lang naman kase assignment ko ehh chaar nasa math book ko Baka kase pag arlan namin kaya ko tinatanong
Answer:
88 i think so
Step-by-step explanation:
ircle A has center of (6, 7), and a radius of 4 and circle B has a center of (2, 4), and a radius of 16. What steps will help show that circle A is similar to circle B? (
Answer:
ggggjgfdvhgffgutddfgj
What is the area of rectangle ABCD?
coordinate plane with rectangle ABCD at A 0 comma negative 1, B 0 comma 4, C 4 comma 4, and D 4 comma negative 1
Answer:
Area = 20 units
Step-by-step explanation:
A (-1,0)
B (0,4)
C (4,4)
D (4,-1)
i hope this is right
Answer:
Area = 20
Step-by-step explanation:
A (0,-1)
B (0, 4)
C (4, 4)
D (4, -1)
