[tex]\huge\color{purple}\boxed{\colorbox{black}{♡Solution}}[/tex]
8.
[tex]7 {x}^{3} + 3 {x}^{2} + 4x + 10 - 10 - 8x - 3 {x}^{3} \\ = 7 {x}^{3} - 3 {x}^{3} + 3 {x}^{2} + 4x - 8x + 10 - 10 \\ = 4 {x}^{3} + 3 {x}^{2}- 4x[/tex]
9.
[tex]5 {x}^{4} - 4 {x}^{3} - 3x - 4 - 2x + 6 {x}^{3} + 2 {x}^{4} \\ = 5 {x}^{4} + 2 {x}^{4} - 4 {x}^{3} + 6 {x}^{3} - 3x - 2x - 4 \\ = 7 {x}^{4} + 2 {x}^{3} - 5x - 4[/tex]
10.
[tex]7 {x}^{3} - 9 {x}^{2} - 7x - 8 - 8 + 4 {x}^{2} + 6 {x}^{3} \\ = 7 {x}^{3} + 6 {x}^{3} - 9 {x}^{2} + 4 {x}^{2} - 7x - 8 - 8 \\ = 13 {x}^{3} - 5 {x}^{2} - 7x - 16[/tex]
11.
[tex]4a + 20 - 5 {a}^{2} + 20a - 35 \\ = - 5 {a}^{2} + 24a - 15[/tex]
12.
[tex]8y + 48 - 6 {y}^{2} + 36y - 24 \\ = - 6 {y}^{2} + 44y + 24 \\ = 2( - 3 {y}^{2} + 22y + 12)[/tex]
13.
[tex]3c - 12 - 5 {c}^{2} - 20c + 40 \\ = - 5 {c}^{2} - 17c + 28[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique }}{\orange{♡}}}}}[/tex]
What is the value of x?
(4x + 15)
11xº
O A. X = 5
O B. X = 11
O C. X = 59
O D. X = 121
Step-by-step explanation:
(4x+ 15)° + 11x° = 180° ( linear pair )
4x + 15 +11x = 180
15 x + 15 = 180
15x = 180-15
15x= 165
x= 165/15
x= 11
Find the area of this triangle.
Round to the nearest tenth.
7 m
125°
14 m
?] m2
Enter
Answer:
40.1
Step-by-step explanation:
i just did it and got it right
What are the characteristics of the graph of the inequality x ≥ -2? The ray will move to the left. The ray will move to the right. It will use an open circle. It will use a closed circle.(multiple answers)
Answer:
Step-by-step explanation:
The inequality x ≥ -2 is graphed on a number line. -2 is the smallest possible value. All subsequent values are larger and therefore lie to the right of -2.
Thus, the following are true:
1. The ray will move to the right (because x begins at -2 and increases, which means moving to the right on the number line).
2. It will use a closed circle (because x = -2 is part of the solution set).
Answer: The ray will move to the right and it will be a closed circle.
The LCM of three numbers is 360 and the GCD of the same numbers is 2.If one of the numbers is 40.Find the other 2 numbers
Answer
“The LCM of three numbers is 360“ The prime factors of 360 are 2³×3²×5¹. That means:
At least one of the numbers contains 2³ in its factorization list.
At least one of the numbers contains 3² in its factorization list.
At least one of the numbers contains 5 in its factorization list.
“One of the numbers is 40“ The factorization list of 40 is 2³×5, so 1) and 3) are satisfied.
“The GCD of the same numbers is 2“ This implies that all 3 numbers are even, and that at least one number only has one 2.
The candidates for the 2nd number, that has 3², are: 18, 12, 72 (3²×2³), 120, 180, or 360.
The candidates for the 3rd number depends on how many 2s the 2nd number has.
If more than one: 2, 6, 18, 10, 30, 90
If only 1, those plus 4, 8, 12, 36, 72, 20, 40, 120, 180, 360
How is this one done?
Determine whether the equation is a linear equation. If so, write the equation in standard form.
a) y = 2x – 3
b) + =
c) 4x = 2y
Step-by-step explanation:
The general form of a linear equation is given by :
y = mx +b
Where
m is the slope
b is the y-intercept
(a) y = 2x - 3
It is in the form of a linear equation.
Standard form, y =2x+(-3)
(b) The equation is 4x = 2y
or
2y = 4x
y = 2x + 0
It is in the form of a linear equation with slope of 2 and y-intercept of 0.
HURRYYY
Which expression is equivalent to E
1 (3),
n=10
15
15
3
Ση + Σ
=10 η = 10
31
O
15
15
15
Ση + Σ3 - Ση
h=10
h=10
η=10
15
3
Ο η Σ
η
η =10
Σ
8
15
3
Ση
η
η=10
Answer:
the first one
Step-by-step explanation:
it is really easy to see in this case.
the main formula is just a sum of a sum.
anything you just add you can split in its parts and then sum it all up - it is still the same.
so, the sum of (n + 3/n) can be split without any additional tricks into the sum of n and the sum of 3/n, and then add both results together.
the second option is wrong, because a division cannot be split like an addition. just try the first two elements (n=10 and n=11) for the simplified formula of the sum of (3/n). 3/10 + 3/11 is definitely not the same as (3 + 3) / (10 + 11).
the third and fourth option are already disqualified, because "n" assists outside of the sum operation (but "n" is only defined inside of it).
answer choices:
a. 66
b. 53
c. 87
d. 73
Natasha is 50 m due east of Michelle. Natasha walks 20 m due north, and Michelle walks 10 m due
south. Find the distance and bearing of Michelle from Natasha now.
Please use diagrams to explain.
Answer:
Let's define East as the positive x-axis and North as the positive y-axis.
If Michelle's initial position is (0, 0)m
We know that Nathasha is 50m due East of Michelle.
Then the position of Natasha is (50, 0)m
Now we know that Natasha walks 20m due North, then the new position of her's is:
(50, 0 + 20)m = (50, 20)m
While Michelle walks 10m due South (South would be the negative y-axis, then we subtract 10 meters)
Michelle's new position will be:
(0, 0 - 10)m = (0, -10)m
Now we want to know the distance and bearing of Michelle from Natasha.
First, remember that the distance between two points (a, b) and (c, d) is given by:
Distance = √( (a - c)^2 + (b - d)^2)
Then the distance between Michelle and Natasha is:
Distance = √( (50m - 0m)^2 + (20m - (-10m))^2)
Distance = √( (50m)^2 + (30m)^2) = 58.31m
Now to find the bearing you can see the image below:
Point B is Michelle's position and point A is Natasha's position.
To find the bearing, we can make a triangle rectangle as the one shown in the image:
Also remember the relation:
Tan(a) = (opposite cathetus)/(adjacent cathetus).
Where the opposite cathetus is the difference between the x-values of each position, this is:
opposite cathetus = 50m - 0m = 50m
And the adjacent cathetus is the difference between the y-values, this is:
adjacent cathetus = 20m - (-10m) = 30m
Then:
Tan(a) = 50m/30m
Tan(a) = 5/3
Now if we apply the inverse Tan function to both sides, Atan(x) we get:
Atan(Tan(a)) = Atan(5/3)
a = Atan(5/3) = 59°
So the bearing is of 59°.
fins the value of (15)^3 + (-9)^3 + (-6)^3 , without actually cubing the numbers
a³ + b³ + c³ + 3abc = ( a + b + c)(a² + b² + c² + ab + bc + ca)
if a + b + c = 0. then a³ + b³ + c³ = 3abc
here a + b + c = 15 + (-9) + (-6)
a + b + c = 15 - 15
a + b + c = 0
so a³ + b³ + c³ = 3abc
15³ + (-9)³ + (-6)³ = 3(15)(-9)(-6)
= 2430
so the answer is 2430
For which equations does the fraction 13 make the equation true? A 6x __=3 B 6x__=2 C 7x__=7/21 D 8x__=3 1/3
Answer:
B. 6 x 1/3 = 2
Step-by-step explanation:
2 is 1/3 of 6
So multiplying 6/1 (6) bu 1/3 :
6/1 * 1/3 = 6 / 3 = 2
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
3k is an example of?
Answer:
3k would be an example of a veriable.What type of graph uses intervals to show the frequency of data?
+
A. Bar graph
B. Line graph
C. Histogram
O D. Circle graph
SUB
what are the domain and range of the function represented by the set of ordered pairs {(-6, 5), (-3, 2), (-1, 0), (5, -4)}
Answer:
[tex]\text{Domain: }\{-6, -3, -1, 5\}\\\text{Range: }\{-4, 0, 2, 5\}[/tex]
Step-by-step explanation:
The domain of a function represents the range of x-values that the function has. The range of a function represents the range of y-values that the function has.
Coordinates are written as (x, y). Thus, the domain of these ordered pairs include the x-values of each ordered pair. Similarly, the range of these ordered pairs include the y-values of each ordered pair. Therefore, we have:
[tex]\text{Domain: }\{-6, -3, -1, 5\}\\\text{Range: }\{-4, 0, 2, 5\}[/tex]
Need help with this question!!!
The roots of a graph are also known as the x-intercepts. If you use a graphing tool to graph the given equation you will be able to see the x- intercepts. For the answer the question is asking what the x cordinates of the x intercepts are. I think the answer is (0,2,-2) but im not sure so you should check my work.
Fill in the blank with the correct response. The slope of the graph of y = -7x is
Answer:
The slope is -7
Step-by-step explanation:
[tex]y = mx + c[/tex]
The [tex]m[/tex] indicates the slope/gradient of a graph
Answer:
m = -7
Step-by-step explanation:
y = -7x is a typical slope-intercept equation of a straight line. Comparing it to
y = mx + b, we see that the slope, m, is -7 and the y-intercept, b, is 0.
Find the sum
1/(1x3) + 1/(2x4) + 1/(3x5) + .... + 1/(98x100)
Answer:
Step-by-step explanation:
answer please answer
Answer:
Step by step explaination:
Function A:
When x=5, y=17
x=4, y= 17-4=13
So x=3,y=13-4=9
and then,
x=2, y= 9-4=5.
Function B:
When x=2, y= 2.
Therefore, when x=2 then Function A is greater than Function B.
Alexander has a square-shaped basket of apples. The
basket covers the area of 36 feet^2
. Find the length of any
side of the basket?
Answer:
6 ft
Step-by-step explanation:
Side = √area = √36 = 6 ft (we have to find a positive number that multiply by itself gives 36
Thank you everyone for helping me this year to get good grades I am giving points.
In right triangle ABC, sin M = cos 61. If 0
Note: Consider we need to find the value of M if [tex]0^\circ<M<90^\circ[/tex]
Given:
In a right triangle ABC,
[tex]\sin M=\cos 61^\circ[/tex]
To find:
The value of M.
Solution:
We have,
[tex]\sin M=\cos 61^\circ[/tex]
It can be rewritten as:
[tex]\sin M=\cos (90^\circ-29)^\circ[/tex]
[tex]\sin M=\sin 29^\circ[/tex] [tex][\because \sin (90^\circ-\theta)=\sin \theta][/tex]
On comparing both sides, we get
[tex]M=29^\circ[/tex]
Therefore, the value of M is 29 degrees.
A shirt originally $38.00 is on sale for 25% off. What is the discounted price?
Step-by-step explanation:
$ 28.50
minus $ 0.00
FINAL Price » $ 28.50
Note: Sales Tax Not Included
Savings » $ 9.50
Effective % Off » 25%
Answer:
$28.5
Step-by-step explanation:
100% - 25% = 75% (so you don't have to add or subtract anything)
38 * .75 = 28.5
=$28.5
Sharon tracks the number of cupcakes she sells each day for a week. The numbers of cupcakes she sold are 23, 25, 32, 35, 36, 25, and 27.
Answer:
Mean = 29
Step-by-step explanation:
Given that,
The numbers of cupcakes she sold are 23, 25, 32, 35, 36, 25, and 27.
We need to find the mean of the cupcakes for a week.
We know that,
Mean = (sum of observations)/(no. of observations)
[tex]\text{Mean}=\dfrac{23+25+32+35+36+25+27}{7}\\\\=29[/tex]
So, the mean of cupcakes is 29.
Will give brainliest if correct!!
Answer:
The smallest increment is 10 V and the uncertainty is 5 V.
Re write 12% as common fraction in simple form
Answer:
3/25
Step-by-step explanation:
Answer:
=325
Showing Work:
12%=12100
=0.12
=0.121×100100
=12100
=325
Brittany’s Hot Tub. When draining her hot tub, the height of the water in Brittany’s hot tub decreases at a rate of 2 inches per minute. After 9 minutes there are 11 inches of water in the tub. Assume that the height is decreasing at a constant rate.
a. Write an equation for the height of water left in the tub (h) as a function of the number of the minutes (t) that have elapsed.
b. How high is the tub when it is full?
c. After how many minutes will the tub be empty?
d. What values of the domain, t, make sense? Why?
e. What values of the range, h, make sense? Why?
Answer:
a. h = -2t + 29
b. 14.5 inches (not sure)
c. 5 1/2 minutes
d. The domain means the amount of time elapsed.
e. The value of h means the height of the water left
Step-by-step explanation:
A test has several multiple choice questions, each with 5 choices. If you guess on 4 questions, what is the probability that you get all 4 correct
Answer:
4/20 or 1/5
Step-by-step explanation:
number of guesses/total possible outcomes (formula for this question since it is an independent event)
total possible outcomes: 4(# of questions) x 5(# of possible answers in 1 question)
total possible outcomes: 20
number of guesses: 4 x 1(there are 4 questions and you guess 1 answer for each question)
number of guesses: 4
number of guesses/total possible outcomes = 4/20 or 1/5
(I might be wrong lol, I haven't learned it in a long time)
Please help me
The question is at what rate did rain fall
Answer:
4 cm per hour that's the answer
hi can somebody plz help me
Answer:Its the last one to the left up
Step-by-step explanation:
I’m the parallelogram above, what is the value of x+y
Help please
Answer:
x + y = 248
Step-by-step explanation:
Using the property : Sum of co- interior angles = 180
[tex]\angle y + 56 = 180\\\\\angle y = 180 - 56 = 124\\\\\angle x + 56 = 180\\\\\anle x = 180 - 56 = 124\\\\\angle x + \angle y = 124 + 124 = 248^\circ[/tex]
The value of 'x' and 'y' are 124° and 124°, respectively. Thus, the value of the expression x + y will be 248°.
What is a parallelogram?It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides and angles are parallel and equal.
According to the definition, the value of 'x' and 'y' will be equal.
And the sum of adjacent angles will be 180 degrees. Then the equation is given as,
x + 56° = 180°
x = 124°
The sum of 'x' and 'y' is given as,
x + y = 124° + 124°
x + y = 248°
More about the parallelogram link is given below.
https://brainly.com/question/1563728
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