Answer:
Check the answer once....
Simplify these by collecting like terms :
a) 4a + 3b + 8a + 2c
b) 6x + 4y + 3y + 7y + 5y + 3x
c) 5k + 3m + 4m + 3n + 6k
Please no guess work, take your time and believe in yourself.
You are the Best.
Answer:
a) 12a + 3b + 2c
b) 19y + 9x
c) 11k + 7m + 3n
Step-by-step explanation:
a) 4a + 3b + 8a + 2c
12a + 3b + 2c
b) 6x + 4y + 3y + 7y + 5y + 3x
6x + 19y + 3x
19y + 9x
c) 5k + 3m + 4m + 3n + 6k
5k + 7m + 3n + 6k
11k + 7m + 3n
Answer:
a) 12a+3b+2c
b) 9x + 19y
c) 11k+7m+3n
Step-by-step explanation:
a) 4a+3b+8a+2c
Combining like terms and adding them
=> 4a+8a+3b+2c
=> 12a+3b+2c
b) 6x+4y+3y+7y+5y+3x
Combining like terms and adding them
=> 6x+3x+3y+7y+5y+4y
=> 9x + 19y
c) 5k + 3m + 4m + 3n + 6k
Combining like terms and adding them
=> 5k+6k+3m+4m+3n
=> 11k+7m+3n
If f(x)= x-6 and g(x)=x2(x+3), find g(x) x f(x)
Answer:
x^4 -3x^3 - 18x^2
Step-by-step explanation:
f(x)= x-6
g(x)=x^2(x+3),
g(x) * f(x) = (x-6) * x^2(x+3)
= x^2 ( x-6) ( x+3)
FOIL
= x^2 ( x^2 +3x-6x-18)
Combine like terms
= x^2 ( x^2 -3x-18)
Distribute
= x^4 -3x^3 - 18x^2
Answer:
x⁴ - 3x³ - 18x²
Step-by-step explanation:
g(x) × f(x)
(x²(x + 3)) × (x - 6)
Expand brackets.
(x³ + 3x²)(x - 6)
x³(x - 6) + 3x²(x - 6)
x⁴ - 6x³ + 3x³ - 18x²
Combine like terms.
x⁴ - 3x³ - 18x²
What two numbers multiply to 1/4 and add to -1?
Answer:Are there any options?
Step-by-step explanation:
Two or more expressions with an Equal sign is called as Equation. Two numbers are x =-1/2 and y=-1/2 whose product is 1/4 and which add to -1.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
We need to find two numbers whose product is 1/4 and add to -1.
Let the two numbers are x and y.
By given,
Two numbers multiply to 1/4
xy=1/4
Two numbers add to -1
x+y=-1
Let x=-y-1
Substitute in equation 1.
(-y-1)y=1/4
-y²-y-1/4=0
Multiply negative on both sides
y²+y+1/4=0
Use quadratic formula
b=1,c=1/4,a=1
y=-1±√1-1/2=-1/2
Now substitute y in x+y=-1
x-1/2=-1
x=-1+1/2
x=-1/2
Hence the two numbers are x =-1/2 and y=-1/2 whose product is 1/4 and which add to -1.
To learn more on Equation:
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Which of the following is an example of exponential growth or decay?
Answer:
Since in option B, the bacteria are growing exponentially, B would be the correct answer to this question.
Step-by-step explanation:
Plz help fast Question 1(Multiple Choice Worth 5 points) (8.01 LC) Two lines, A and B, are represented by the equations given below: Line A: x + y = 6 Line B: x + y = 4 Which statement is true about the solution to the set of equations? There are infinitely many solutions. There is no solution. It is (6, 4). It is (4, 6).
Answer:
(B) There is no solution.
Step-by-step explanation:
Given the two lines A and B where:
[tex]L$ine A: x + y = 6 \implies y=6-x\\$Line B: x + y = 4 \implies y=4-x\\$Therefore:$\\6-x=4-x\\-x+x=4-6\\0=-2\\$Since, $ 0\neq -2,$ there is no solution.[/tex]
The correct option is B.
Answer:
A
Step-by-step explanation:
Just took test, can I have Brainliest.
Twice the difference of a number and 5 is equal to three times the sum of the number and 2. Find the number.
Answer:
The number is - 16Step-by-step explanation:
Let the number be x
Twice the difference of a number and 5 is written as
2( x - 5)
three times the sum of the number and 2 is written as
3( x + 2)
Equate them
We have
2(x - 5) = 3(x + 2)
Expand
2x - 10 = 3x + 6
Group like terms
2x - 3x = 16 + 10
- x = 16
Multiply through by - 1
x = - 16
Hope this helps you
What is 5d - 10 = 20
Answer:
d = 6
Step-by-step explanation:
5d - 10 = 20
Add 10 to each side
5d - 10+10 = 20+10
5d = 30
Divide by 5
5d/5 = 30/5
d = 6
Answer:
d = 6
Step-by-step explanation:
5d - 10 = 20
Add 10 to both sides of the equation
5d = 30
Divide both sides of the equation by 5
d = 6
Hope this helps :)
What is the product? [ 4 2 ] x [ -2 5 7 -1 ]
Answer:
The fourth option is correct [6 18]Step-by-step explanation:
This problem has to do with matrix multiplication.
we have a row matrix multiplying a 2x2 matrix, this will result to a row matrix
=[4*-2+2*7] and [4*5+2*-1]
=[-8+14] and [20+-2]
=[6 18]
Answer:
c. (6,18)
Step-by-step explanation:
(5x – 3y) (3x + 4y)
Answer:
[tex]15 {x}^{2} + 11xy - 12 {y}^{2} [/tex]Solution,
( 5x - 3y) ( 3x +4y)
Multiply each terms in the first parentheses by each term in the second paranthesis.
5x * 3x + 5x * 4y - 3y * 3x - 3y * 4y
Calculate the product
15x^2 + 20xy -9xy -12y^2
Collect like terms and simplify
15x^2 + 11xy -12y^2
Hope this helps...
Good luck on your assignment...
Answer:
[tex]\boxed{\red{15 {x}^{2} + 11xy - 12 {y}^{2}}} [/tex]
Step-by-step explanation:
[tex]\blue{(5x - 3y)(3x + 4y)} \\ \blue{5x(3x + 4y) - 3y(3x + 4y)} \\ \blue{15 {x}^{2} + 20xy - 9xy - 12 {y}^{2} } \\ \pink{= 15 {x}^{2} + 11xy - 12 {y}^{2} }[/tex]
HELP WITH MATH PLS!!!
Answer:
Option A, y=8
Step-by-step explanation:
If you graph each of the equations, you will find that y=8 is the only line that crosses through the point (-3,8)
Also,
If you notice the given point, the y-coordinate is 8 indicating that the point lies on the line that has y as 8
Hope that helps!!
A school is selling tickets to a drama performance. On the first day of ticket sales the school sold 3 adult tickets and 1 child ticket for a total of $38. On the second day, the school sold 3 adult tickets and 2 child tickets for a total of $52.
Which of the following system of linear equations could model this situation?
Answer:
System of linear equations
[tex]\left\{\begin{matrix} 3a+c=38 \\\\ 3a+2c=52 \end{matrix}\right.[/tex]
a: adult ticket price and c: child ticket price
Step-by-step explanation:
This system of equations can be used to find the price of the adult and child tickets.
We have two equations (one for each day) and two unknowns (adult ticket price and child ticket price).
Let a: adult ticket price and c: child ticket price,
we have for the first day that 3 adult tickets and 1 child ticket adds $38:
[tex]3a+1c=38[/tex]
and for the second day we have that 2 adult tickets and 2 child tickets adds $52:
[tex]3a+2c=52[/tex]
If we write this as a system of equations, we have:
[tex]\left\{\begin{matrix} 3a+c=38 \\\\ 3a+2c=52 \end{matrix}\right.[/tex]
Solve the system of equations.
Answer:
C. (-4, 11) and (2, -1)Step-by-step explanation:
[tex]x^2-5=-2x+3\\\\x^2+2x-8=0\\\\a=1\,,\ b=2\,,\ c=-8\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x=\dfrac{-2\pm\sqrt{2^2-4\cdot1\cdot(-8)}}{2\cdot1}=\dfrac{-2\pm\sqrt{4+32}}{2}=\dfrac{-2\pm\sqrt{36}}{2}=\dfrac{-2\pm6}{2}\\\\x_1=\dfrac{-2-6}2=\dfrac{-8}2=-4\\\\y_1=-2x_1+3=-2(-4)+3=8+3=11\\\\(-4\,,\ 11)\\\\x_2=\dfrac{-2+6}{2}=\dfrac{4}2=2\\\\y_2=-2x_2+3=-2\cdot2+3=-4+3=-1\\\\(2\,,\ -1)[/tex]
What is the equation of the following line? Be sure to scroll down first to see
all answer options
Answer:
B. -1/3x
Step-by-step explanation:
Start with
y = mx + b
The y-intercept is 0, so we have
y = mx
To find m, the slope, start at (0, 0).
slope = m = rise/run
Go up 1 unit and left 3 units. Rise = 1; run = -3.
m = 1/(-3) = -1/3
Now we have
y = -1/3x
Answer: B.
In a school auditorium, the number of chairs in a row is the same as the number of rows of chairs. There are 7033 students in the school. If we know that less than 31 chairs were empty, how many chairs were empty after all the students sat down?
Same number of rows to chairs in a row would form a square.
Use the total number of students as the area
Find the number or rows by taking the square root of student:
The square root of 7033 is 83.86
Round up to 84
Total seats would be rows x seats per row:
84 x 84 = 7,056 total seats
7056 seats - 7033 students = 23 empty seats
Find the length of the side labeled x. Round intermediate values to the nearest tenth. Use the rounded values to calculate the next value. Round your final answer to the nearest tenth.
Answer:
42.1
Explanation step-by-step:
Working out the lenght of the blue-dashed line:
SOH
47 is the Hypotenuse.
the blue line is the adjacent.
adjacent= Cos(30) x47
adjacent= 40.7
Working out x :
40.7 is the opposite this time.
x is the adjacent.
x = 40.7/ Tan(44)
x = 42.1
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
all real numbers
Step-by-step explanation:
The domain is the values that x can take
There are no restrictions as to what x can be in this function
In the function given, it can take any x variable without it causing any problems in the function when solved.
So, any value can be x (all real numbers)
Best of Luck!
Find the length of side a
Answer:
a = 8.
Step-by-step explanation:
a^2 + b^2 = c^2
b = 6; c = 10
a^2 + 6^2 = 10^2
a^2 + 36 = 100
a^2 = 64
a = plus or minus 8
Since side lengths can't be negative, a = 8.
Hope this helps!
Evaluate. 33 + 11 - 10 ÷ 2 × 4 w = a0
Answer:
24
Step-by-step explanation:
33 + 11 - 10 ÷ 2 × 4
Division is first.
33 + 11 - 5 × 4
Multiplication.
33 + 11 - 20
Add or subtract.
44 - 20
= 24
What is the value of the expression “three less than the quotient of ten and a number, increased by six” when n = 2? 2 -7/4 8 19/2
Answer:
Answer=8
Step-by-step explanation:
Three less than the quotient of 10 and a number increased by 6
Quotient of ten and a number=10/n
(10/n-3)+6
Let n=2
(10/2-3)+6
(5-3)+6
=2+6
=8
The answer is 8
Answer:
8
Step-by-step explanation:
Trust me on this, also can I have brainiest please?
Hope you do well! :D
Find the measures of two angles, one positive and one negative, that are coterminal with pi divided by ten . (2 points) twenty-one pi divided by ten ; negative pi divided by ten eleven pi divided by ten ; negative nine divided by ten twenty-one pi div
Answer:
The two angles coterminal with π/10 are 21π/10 and -19π/10
Step-by-step explanation:
To find a two angles that are coterminal with π/10, we add and subtract 360°(that is 2π) from π/10.
So, the first angle coterminal with π/10 is
A = π/10 + 2π
taking the L.C.M which is 10, we have
A = (π + 20π)/10
A = 21π/10
The second angle coterminal with π/10 is
B = π/10 - 2π
taking the L.C.M which is 10, we have
B = (π - 20π)/10
B = -19π/10
So the two angles coterminal with π/10 are 21π/10 and -19π/10
PLZ HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
1²+3
Step-by-step explanation:
I'm not to sure I hope this helped.
based on the function h(t), what will be the account value five years after the account is opened?
Answer:
Option B
Step-by-step explanation:
f(t) = 5000
g(t) = 250t
h(t) = f(t) + g(t) = 5000 + 250t
After 5 years, the amount of money in the account is:
h(t = 5) = 5000 + 250(5) = 5000 + 1250 = 6250$
plz answer this one clip is down below will mark brainiest if get it right thank you
Answer:
Third option is correct.
Step-by-step explanation:
Take a closer look at the box plot given in the question. The range of the values represented in the box plot is starts from where the whiskers begins from our left, and where the whiskers to our right ends. The range of values of the points awarded ranges from 0 - 100, as represented on the box plox. Also,the median is indicated by the vertical line that divides the rectangular box into two. The median point = 70.
Now, examine all the dot plots given as options. The dot plot that has a range of 0 - 100, and a median of 70, is the dot plot that best represents the box plot.
Thus, the third option among the answer choices given would be out answer. The third option shows a dot plot with range of values of points from 0 - 100, and also a median of 70 points.
the common ratio of a g.p is 3. given that the 5th term is greater than the first term by 400 what is the fifth term of the g.p.
Answer:
405.
Step-by-step explanation:
First term = a1
5th tern = a1 r^4
So a1r^4 - a1 = 400 r = 3 so:
3^4 * a1 - a1 = 400
a1(81-1) = 400
80a1 = 400
a = 5
Therefore the fifth term = 5* 3^4
= 405.
The first term and fifth term of Geometric progression will be 5 and 405, respectively.
What is a geometric sequence?Let a₁ be the first term and r be the common ratio.
Then the nth term of the geometric sequence is given as,
aₙ = a₁ · (r)ⁿ⁻¹
The common ratio of a g.p is 3. given that the 5th term is greater than the first term by 400. Then the equation is given as,
a₅ - a₁ = 400 ...1
a₅ = a₁ · 3⁴ ...2
From equations 1 and 2, then we have
81a₁ - a₁ = 400
80a₁ = 400
a₁ = 5
Then the value of the fifth term is given as,
a₅ = a₁ · 3⁴
a₅ = 5 x 81
a₅ = 405
The first term and fifth term of Geometric progression will be 5 and 405, respectively.
More about the geometric sequence link is given below.
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What are the three main areas of a machine?
Answer:
Well on a machine there are 3 fundamental areas which are the point of operation, the power transmission device, and the operating controls.
You can find more of this information on google if youd like.
Which graph represents the function h(x) = |x| + 0.5? On a coordinate plane, an absolute value graph has a vertex at (0, 1.5). On a coordinate plane, an absolute value graph has a vertex at (negative 0.5, 0). On a coordinate plane, an absolute value graph has a vertex at (0, 0.5). On a coordinate plane, an absolute value graph has a vertex at (negative 1.5, 0).
Answer:
On a coordinate plane, an absolute value graph has a vertex at (negative 0, 0.5).
Step-by-step explanation:
h(x) = |x| + 0.5
Has its vertex at h(x) = 0, h(x) = |x| + 0.5
0 = |x| + 0.5
|x| = -0.5
So x = -0.5
So, the vertex is at (-0.5, 0)
The graph that represents [tex]h(x) = |x| + 0.5[/tex] is (a) on a coordinate plane, an absolute value graph has a vertex at (0, 1.5)
The function is given as:
[tex]h(x) = |x| + 0.5[/tex]
An absolute function is represented as:
[tex]h(x) = |x - h| + k[/tex]
Where:
[tex]Vertex=(h,k)[/tex]
By comparison:
[tex](h,k) = (0,0.5)[/tex]
i.e. the vertex of function h(x) is (0,0.5)
Hence, the graph that represents [tex]h(x) = |x| + 0.5[/tex] is (a)
Read more about absolute functions at:
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Multiply. (5x+7)^2 :)
Answer:
The answer is B.
Step-by-step explanation:
You can expand it in a simplier way using :
[tex] {(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2} [/tex]
So for this question :
[tex] {(5x + 7)}^{2} \\ = {(5x)}^{2} + 2(5x)(7) + {(7)}^{2} \\ = 25 {x}^{2} + 70x + 49[/tex]
Answer:
B. 25x^2+70x+49
Step-by-step explanation:
To multiply we can use a method called FOIL. In this method, we multiply the first terms of each binomial, then the outer terms (first and last), then the inner terms (2nd and 3rd), and finally the last terms (2nd and last). The two binomials in this case are (5x+7)(5x+7).
So this means we first multiply 5x*5x, then 5x*7, then 7*5x, and finally 7*7. Multiplying these out we get 25x^2 + 35x + 35x +49. Finally, combining like terms we get 25x^2+70x+49, which is our answer.
. If g= 12 and h = 19, what is the value of
3h(h-g)?
A. 13
B. 43
C. 252
D. 399
Answer:
D. 399
Step-by-step explanation:
3x19(19-12)
57x7=399
Un ascensor sube desde el primer piso al quinto piso, baja al segundo, sube al octavo. Si cada piso tiene 3 metros de altura, ¿cuántos metros recorrió el ascensor?
Answer:
El ascensor recorrió unos 39 metros
Step-by-step explanation:
Segun la pregunta cada cada piso tiene 3 metros de altura, por lo tanto para calcular los metros que recorrió el ascensor tenemos que hacer el siguiente calculo:
metros desde el primer piso al quinto piso=3 metros*4=12 metros
metros desde el quinto piso al segundo piso=3 metros*3=9 metros
metros desde el segundo piso al octavo piso=3 metros*6=18 metros
Por lo tanto los metros que recorrió el ascensor=12 metros+9 metros+18 metros
metros que recorrió el ascensor=39 metros
El ascensor recorrió unos 39 metros
Find the perimeter of the following shape, rounded to the nearest tenth: Shape ABCD is shown. Point A is at negative 3, 5. Point B is at 2, 6. Point C is at 0, 2. Point D is at negative 5, 1.
Answer:
19.04
Step-by-step explanation:
find the length of AB,BC,CD , and AD
distance=√(x2-x1)^2+(y2-y1)^2
A(-3,5), B(2,6),C(0,2),D(-5,1)
line AB :d=√(2−(−3))^2+(6−6)^2
AB=5
BC=d=√(0−2)^2+(2−6)^2=√20=2√5
CD:√26
DA:√20
perimeter=AB+BC+CD+DA=5+√20+√20+√26=19.04