Step-by-step explanation:
> 2n³+4²+6n-6n-21
2n³+4n²-21
> -4n²-3n-8+2n+18
-4n²-3n-8+2n+18
-4n²-n-8+18
-4n²-n+10
i am having problems with this problem.
Answer:
-70
Step-by-step explanation:
keep adding -4 until you reach the 18th term for example
-2
-6
-10
-14
-18
-22
-26
-30
-34
-38
-42
-46
-50
-54
-58
-62
-66
-70
What is the length of leg s of the triangle below?
90°
45
6
172
45
O
A. 72
B. 5
C. 3
O O O O a
D. 6
E. 3.2
F. 36
Answer:
6
Step-by-step explanation:
It's a 45-45-90 triangle, it has two similar sides, since it has two similar angles, which are both 45°
so, side = s = 6
Answered by GAUTHMATH
The length of the leg s of the triangle below is 6.
Option D is the correct answer.
What is the Pythagorean theorem?Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We can apply this theorem only in a right triangle.
Example:
The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.
Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm
We have,
Applying the Pythagorean theorem in the triangle.
√72² = s² + 6²
72 = s² + 36
s² = 72 - 36
s² = 36
s = √36
s = 6
We can also say that,
Opposite angles of equal sides are equal
So,
s = 6.
Thus,
The length of the leg s of the triangle below is 6.
Learn more about the Pythagorean theorem here:
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please answer asap no wrong answers pls
Hi there!
[tex]\large\boxed{\frac{1}{5}, \frac{21}{5}}[/tex]
In order to set each equation equal to each other, we must have them both equal the same variable.
Rearrange the top equation to make it equal to y:
x - y = -4
Add 4 to both sides and add y to both sides:
x + 4 = y
Now, we can set both equations equal to each other:
x + 4 = 5(x + 1)² - 3
Begin solving by expanding the square binomial:
x + 4 = 5(x² + 2x + 1) - 3
Simplify:
x + 4 = 5x² + 10x + 5 - 3
x + 4 = 5x² + 10x + 2
Bring all terms to one side:
0 = 5x² + 9x - 2
Factor:
0 = (5x - 1)(x + 2)
Set the other factor equal to 0:
5x - 1 = 0
5x = 1
x = 1/5
Plug in this value of x into an original equation:
1/5 - y = -4
1/5 + 4 = y
1/5 + 20/5 = y
y = 21/5
A rectangle has side lengths 2x + 3 and 5x - 2.
Write an expression without brackets for the area of the rectangle
Answer:
10x² + 11x - 6
Step-by-step explanation:
The area (A) is the product of the sides, that is
A = (2x + 3)(5x - 2) ← expand using FOIL
= 10x² - 4x + 15x - 6 ← collect like terms
= 10x² + 11x - 6
Describe how to determine the average rate of change between x = 4 and x = 6 for the function f(x) = 2x3 + 4. Include the average rate of change in your answer.
In this question, we want to find the average rate of change of a function over an interval, it represents by how much f(x) changes when x changes by 1.
Average rate of change:
The average rate of change of a function over an interval [a,b] is given by:
[tex]A = \frac{f(b) - f(a)}{b - a}[/tex]
In this question:
[tex]f(x) = 2x^3 + 4[/tex]
Between x = 4 and x = 6, so [tex]a = 4, b = 6[/tex]. Then
[tex]f(a) = f(4) = 2*4^3 + 4 = 132[/tex]
[tex]f(b) = f(6) = 2*6^3 + 4 = 436[/tex]
Then
[tex]A = \frac{436 - 132}{6 - 4} = 152[/tex]
Thus, the average rate of change of the function is of 152, that is, when x changes by 1, y changes by 152.
For another problem involving an average rate of change, you can check https://brainly.com/question/14481908
Last question, thank you guys a lot for helping me out
Answer: Her earnings after taxes will be $415.80 (choice C)
How?
PER 1 HOUR: 0.77 x (13.50 x 1) = 0.77 x $13.50 = $10.395
PER 40 HOURS: 0.77 x (13.50 x 40h) = 0.77 x 13.50 x 40 = $415.80
Use what you know about sine, cosine, and tangent to calculate the height of the buildings in the diagram below.
Answer:
x = 32 feet
Step-by-step explanation:
By applying tangent rule in ΔACD,
tan(40°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
= [tex]\frac{AB+AC}{CD}[/tex]
= [tex]\frac{x+BC}{87}[/tex]
x + BC = 73 -----(1)
By applying tangent rule in ΔBCD,
tan(25°) = [tex]\frac{BC}{CD}[/tex]
= [tex]\frac{BC}{87}[/tex]
BC = 40.57
By substituting the value of BC in equation (1),
x + 40.57 = 73
x = 32.43
x ≈ 32 feet
Simplify: -2.6(5-c)-c+8
Answer:
1.6c - 5
Step-by-step explanation:
-2.6 (5 - c) - c + 8
-13 + 2.6c - c + 8
1.6c -13 + 8
1.6c -5
describe the rule that describes the relationship between the numbers in the top row (x) and the bottom row (y) in the following table
Answer:
y(x) = 2x+3
Step-by-step explanation:
the rule is y(x) = 2x+3
Which of the following statements is false?
A. Opposite sides of a parallelogram are congruent.
B. The diagonals of a parallelogram bisect each other.
C. A rhombus is a parallelogram.
D. A rhombus is a regular polygon.
Answer:
D
Its isnt a regualr polygon because its sides are not all equilingular like a sqaure triangle octagon and so on
Urgently need help step by step explanation needed
Answer:
p=8
Step-by-step explanation:
-5log(p+1)+2=-8
-5log(p+1)=-10
log(p+1)=2
p+1=9, p=8
find the mean value of the following. 5, 11, 4, 10, 8, 6
Find the value of c so that the polynomial p(x) is divisible by (x-3).
p(x) = -x^3 + cx^2 -4x + 3
Answer:
c = 4.
Step-by-step explanation:
If p(x) is divisible by (x-3) then p(3) = 0 (By the Factor Theorem), so
-(3)^3 + (3)^2c - 4(3) + 3 = 0
-27 + 9c - 12 + 3 = 0
9c = 27 + 12 - 3
9c = 36
c = 4.
Answer:
4
Step-by-step explanation:
Fiona y sus amigas fueron a una tienda de batidos. Pidieron tres batidos de fresa y dos batidos de proteínas por un total de $ 24,00. La semana pasada pidieron un batido de fresa y cuatro batidos de proteínas por un total de $ 25,50. El sistema que representa sus compras se encuentra a continuación. x + 4 y = 25,50 3 x + 2 y = 24,00 ¿Cuál es el precio de un batido de proteínas? $ 3,75 $ 4.50 $ 4.95 $ 5.25
Answer:
Un batido de proteínas cuesta $ 5,25.
Step-by-step explanation:
El sistema de ecuaciones descrito al final del enunciado coincide con lo descrito al comienzo del mismo, de modo que podemos concentraron casi exclusivamente en la resolución del sistema en cuestión, la cual se describe a continuación:
Este es el sistema a resolver:
[tex]x + 4\cdot y = 25,50[/tex] (1)
[tex]3\cdot x + 2\cdot y = 24,00[/tex] (2)
Donde [tex]x[/tex] es el coste de un batido de fresa y [tex]y[/tex] corresponde al coste de un batido de proteínas:
1) Despejamos [tex]x[/tex] en (1):
[tex]x = 25,50 - 4\cdot y[/tex]
2) Eliminamos [tex]x[/tex] en (2):
[tex]3\cdot (25,50 - 4\cdot y) + 2\cdot y = 24,00[/tex]
[tex]76,50 - 12\cdot y +2\cdot y = 24,00[/tex]
3) Simplificamos y despejamos [tex]y[/tex]:
[tex]10\cdot y = 52,50[/tex]
[tex]y = 5,25[/tex]
Un batido de proteínas cuesta $ 5,25.
Shown below is a piece of information on the sale of passenger vehicles that appeared in a newspaper. How many multi purpose vehicles were sold in the year 2006?
70,000 multi purpose vehicles were sold in the year 2006
First we need to know the equivalent of 1 lakh.
1 lakh = 100,000
From the table shown, we can see that 0.7 lakh multipurpose vehicle were sold in 2016.
Converting 0.7lakh to thousands:
0.7lakh= 0.7 × 100,000
0.7lakh = 70,000
This shows that 70,000 multi purpose vehicles were sold in the year 2006
Learn more: https://brainly.in/question/2811622
5. At a wedding reception, an equal
number of guests were seated at
12 round tables. The 13 people in
the wedding party were seated at
a rectangular table. There were 121
people at the reception altogether.
Which equation could you use to find
the number of guests, n, seated at each
round table?
A 12 + 13n = 121
B 12n + 13= 121
C 121 = 12n - 13
D 121 = 13n - 12
Answer:
b i think
Step-by-step explanation:
Can someone please explain this step by step.
Answer:
-5 and 2
-3 and 0
-2 and -1
...gives -3
Step-by-step explanation:
Answer:
Step-by-step explanation:
(-5,2), (-2,-1), (-3,0)
all pairs add up to -3
A man invested a certain amount of money in a bank at a simple interest rate of 5percent per annum. At the end of the year, his total amount un the bank was GHC 840,000.00. How much sid he invest in the bank.
Answer: He invested 8,00,000.
Step-by-step explanation:
R = 5%
A = 840,000
T = 1 year
so
so
I = A-P
so
I = PTR/100
or, A-P = (p*1*5)/100
or, 840,000-P = 5p/100
or, 8,40,00,000-100P = 5p
or, 8,40,00,000 = 105P
so, p = 8,40,8,40,00,000
so, P = 8,00,000
If f(x) = x3 – 1, what is the ordered pair for x = -2.?
Answer:
(-2, -9)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)
Functions
Function NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = x³ - 1
x = -2
Step 2: Evaluate
Substitute in x [Function f(x)]: f(-2) = (-2)³ - 1Exponents: f(-2) = -8 - 1Subtract: f(-2) = -9Rewrite: (-2, -9)help
1) find the value of x
2)find length of a side of the square
Answer:
x = 12 , s = 41
Step-by-step explanation:
The sides of a square are equal , so
4x - 7 = 3x + 5 ( subtract 3x from both sides )
x - 7 = 5 ( add 7 to both sides )
x = 12
Then
length of side s is
s = 4x - 7 = 4(12) - 7 = 48 - 7 = 41
the train regularly travels 135 miles in 60 minutes.
What is the speed, in miles per minute, on this portion of the route?
Answer:
2.25 miles per minute
Step-by-step explanation:
Speed = Distance/Time
135/60
2.25 miles per minute
Answer from Gauthmath
15. Mary was given data comparing students’ mark in math class and the number of classes missed. She plotted the data on the graph below and drew a line of best fit. Do you agree with Mary’s drawing of the line of best fit? Justify your answer. PLEASE HELP ITS RLLY IMPORTANT
Answer:
No
Step-by-step explanation:
The line of best fit should follow the correlation of the data and it should go through as many of the plotted data as possible.
The Data is showing a negative correlation but she has drawn on a positive correlation and it also only goes through 1 point.
Hope this helps :)
determine the quadratic equation in standard form of a parabola with a zero at x=5 and vertex ar (-3, 32). start with factored form
a)find the other zero
b) create your factored form equation
c) create your standard form equation
Answer:
see image...
start with Graphing Form: y = a(x-h)²+ k
knowing that h is the x value (negative of it) of the vertex , and k is the y value of the vertex
Graphing Form Equation: y = a(x+3)²+32
you are also given that when the x value is 5 the y value has to be 0
0 = a(4)^2 + 32
a has to be - 1/2
Step-by-step explanation:
If 5 is added to the difference of 3 times of 4 and 7 find the number
Answer:
14
Step-by-step explanation:
3*4=12
3*7=21
Diff= 21-12
Diff= 9
Plus 5=9+5
The number is 14
ok so this... is confusing the hell outta me any help?
Answer:
y = 24
Step-by-step explanation:
The sum of the angles of a triangle is 180
A+B+C = 180
ABC = 60
We know 2x-4 = 60
2x -4+4 = 60+4
2x = 64
x = 64/2 = 32
A = 3x = 3(32) = 962x-4 = 60
B = 60
Using the first equation
96+ 60 +y = 180
156 +y =180
y = 180-156
y = 24
please help meeeeeeeeeeeeee
Answer:
a)-2x(x+4x²)+3(x²+2x)
-2x²-8x³+3x²+6x
-2x²+3x²+6x-8x³
x²-8x³+6x
in descending order
-8x³+x²+6x
b)(4x-3)(4x+3)
4x(4x+3)-3(4x+3)
16x²+12x-12x-9
16x²-9
I hope this helps and sorry if it's wrong
Choose the complete predicate for the sentence below. My friend from school is going to a football game tomorrow. My friend My friend from school going to a football game tomorrow is going to a football game tomorrow
Answer:
The complete predicate is the following: "is going to a football game tomorrow."
Step-by-step explanation:
A sentence is spit into two main parts, the subject and the predicate. The subject is what the sentence is about and it typically occurs before the verb. Everything before the verb in this case would be the complete subject. What is left is the complete predicate. The complete predicate includes the verb and everything after it until the end of the sentence.
Answer:
The complete predicate is the following: "is going to a football game tomorrow."
Step-by-step explanation:
A sentence is spit into two main parts, the subject and the predicate. The subject is what the sentence is about and it typically occurs before the verb. Everything before the verb in this case would be the complete subject. What is left is the complete predicate. The complete predicate includes the verb and everything after it until the end of the sentence.
Graph the line that has a slope of -7/4 and includes the point (0,10).
Answer:
y=-7/4x +10
Step-by-step explanation:
that the graph, you can plug the equation in desmos,
hope it helps! :)
need help with number 8
Answer:
x = 14 2/3
Step-by-step explanation:
it is a parallelogram.
that means AB is parallel to CD, and AD to BC.
it also means that the total angles at B and D must be equal. and the total angles at A and C.
and the sum of all angles in a parallelogram is 360 degrees.
so, we have
360 = 2×(4x + 4x + 8) + 2×(x + 10 + 2x + 8) =
= 8x + 7x + 16 + 2x + 20 + 4x + 16 =
= 21x + 52
308 = 21x
x = 14.666666666.... = 14 2/3
(2x+1)(x-1)=0
2x-10=5+3x
Step-by-step explanation:
2x-3x=5+10
-x=15
X=-15
2x+1=0.... 1
X-1=0
X=1......2
Substitute the value of x in equation 1
2*1+1=0
2=1
So the value of x is 1 and 2
Answer:
x=-1/2
x=1
x=-15
Step-by-step explanation:
