Answer:
102^3 = (100+2)^3
= (100^3)+(2^3)+{3*(100^2)*2}+(3*100*
{2^2})
= 1000000+8+60000+1200
= 1061208
What is the measure of angle A?
Answer:
A = 29
Step-by-step explanation:
a triangle is equal to 180 so the bottom triangle you add 34 + 26 = 60 --> 180-60 = 120 ---> the triangle on top is 120 + 31 = 151 -----> 180-151 = 29
Express your answer as a polynomial in standard form. f(x)= f(x)= \,\,3x^2+6x+5 3x 2 +6x+5 g(x)= g(x)= \,\,-x+3 −x+3 \text{Find: }f(g(x)) Find: f(g(x))
The value of f(g(x)) is, [tex]f(g(x))=3x^{2} -24x+50[/tex]
Composition of function:The given function are,
[tex]f(x)=3x^{2} +6x+5\\\\g(x)=-x+3[/tex]
We have to find [tex]f(g(x))[/tex].
[tex]f(g(x))=f(-x+3)=3(-x+3)^{2}+6(-x+3)+5\\ \\f(g(x))=3(x^{2} +9-6x)-6x+18+5\\\\f(g(x))=3x^{2} +27-18x-6x+23\\\\f(g(x))=3x^{2} -24x+50[/tex]
Thus, the value of [tex]f(g(x))=3x^{2} -24x+50[/tex]
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Shellys old living room had a length that was twice its width. When she moved, her new living room was 2 feet longer and 4 feet wider that her old one. If w represents the width of her old living room write the expression used to represent the difference in the area of her old living room and her new living room.
Answer:
10w+6 is the difference between the two areas
Step-by-step explanation:
for the old room:
l=2w
wich mean
Area_old=l*w=2w*w=2w²
for the new room:
L=l+2 since l=2w => L=2w+2
W=w+4
so
Area_new=L*W=(w+4)*(2w+2)= 2w² +10w+6
the difference is :
Area_new - Area_old= 10w+6
[ 28 - (16 + 3) ] ÷ 3
Answer:
3
Step-by-step explanation:
By order of PEMDAS, perform math within parentheses first.
[tex](28 - 19) \div 3[/tex]
Continue with PEMDAS
[tex](9) \div 3[/tex]
Now, simply divide
[tex]9 \div 3 = 3[/tex]
Use the ALEKS calculator to find 48% of 70. Do not round your answer.
Answer:
its 28
Step-by-step explanation:
hope this helps also u have to divide 70 divided by 48% in order to get 28
4x+12y+4z=-16 12x-12y+8z=8 4x+12y-4z=0
Max has 40 fruits consisting of Apples, Mangos, and Peaches. Max has 5 more Apples than Mangos. He also
has four times as many Apples as Peaches. How many Apples does Max have?
Answer:7.5 apples
Step-by-step explanation:
Let the number of mangoes be represented by m
Max has 5 more Apples than Mangos.
Therefore apples = m + 5
Max has four times as many Apples as Peaches. Therefore, peaches = 4(m+5) = 4m + 20
Mangoes = m
Apples = m+5
Peaches = 4m+20
Mangoes + Apples + Peaches = 40
m + m+5 + 4m+ 20 = 40
6m+25 = 40
6m = 40 - 25
6m = 15
m = 15/6
m = 2.5
Apples = m+5 = 2.5 + 5 = 7.5
Max has 7.5 apples
19. The midpoint of JK is M(0, 1). One endpoint is /(-6, 3). Find the coordinates of
endpoint K. (Section 1.3)
Answer:
(6,-1)
Step-by-step explanation:
let coordinates of K be (x,y) then
[tex]0=\frac{-6+x}{2}\\or~-6+x=0\\x=6\\1=\frac{3+y}{2}\\y+3=2\\y=2-3=-1\\so ~K~is ~(6,-1)[/tex]
The coordinates of endpoint K will be (6,-1).
What is coordinate geometry?A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. The midpoint of a line segment is known as the midpoint in geometry. It is the centroid of the segment and of the ends, and it is equally distant from both of them. It cuts the section in half.
Given that the midpoint of JK is M(0, 1). One endpoint is (-6, 3). The other end will be calculated as below:-
0 = ( -6 + x ) / 2
-6 + x = 0
x = 6
The value of the y coordinate will be calculated as below:-
y = 2 - 3 = -1
Therefore, the coordinates of endpoint K will be (6,-1).
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Translate each question.
Four times the difference of a number and 7 is 32
M(x)=x^2-3x
N(x)=x-5
MN(-1)= ?
A.18
B.-20
C.-22
D. -24
Answer:
d. -24
Step-by-step explanation:
M(-1)=(-1)^2-3(-1)
M(-1)=1+3
M(-1)=4
N(-1)=-1-5
N(-1)=-6
MN(-1)=(4)(-6)
MN(-1)=-24
simplify 12-15÷3-3 pwease
Answer: -6
Step-by-step explanation: mark me as brainliest if i helped
The value of the expression is 4.
We have,
Expression:
12 - 15 ÷ 3 - 3
Now,
Apply PEMDAS.
Divide 15 by 3.
12 - 15/3 - 3
[ 3 x 5 = 15]
So,
12 - 5 - 3
12 - (5 + 3)
12 - 8
4
Thus,
The value of the expression is 4.
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5+5=
9+3=
20+15=
25+38=
what is each side of the square?
Answer:
S = 14.14
Step-by-step explanation:
The area of a square is S*S or S^2.
So, if we know that the area of the square patio is 200, we can say that
S^2 = 200.
S = sqrt(200)
S = 14.14 ft.
please answer this I really need it!
Answer: 4/49 m^2
Step-by-step explanation:
Multiply
2/7 x 2/7 = 4/49
Answer: 4/49 m^2
Step-by-step explanation:
Area of a square = side X side
Side is 2/7
So, Area = (2/7)*(2/7) = 4/49 m^2
A rectangle is 28 centimeters long and 9 centimeters wide.
What is the perimeter of this rectangle?
37 cm
0 56 cm
O 65 cm
O 74 cm
N
Answer:
74
Step-by-step explanation:
2(28x9)
74 is the perimeter
what is the slope of a line if the equation is y=7x -5
Answer:
7
Step-by-step explanation:
The standard form is y=mx + b where your m value is the slope and your b value is the y-intercept.
So in your case, 7 is your m value therefore 7 being your slope
Hii!
__________________________________________________________
Answer:
Slope is 7! ^^
Step-by-step explanation:
Note that the equation of the line is given to us in slope intercept, y=mx+c.
m=slope | c=y intercept.
The slope intercept formula is
y=mx+c.
The equation this question provided us is.
y=7x-5
Slope=7
--
Hope that this helped! Best wishes.
--
WILL GIVE BRAINLIST TO FIRST ANSWERER!!!!
Write the equation of each line in slope-intercept form
Answer:
y=-2/3 x +2
y=-x+2
Step-by-step explanation:
slope intercept form : y=mx+b
first find the slope :
two points from the graph : (0,2) (3,0)
y=b=2 when x=0 y = the constant b
m=(y2-y1)/(x2-x1)
m=0-2/3-0
m=-2/3
y=-2/3 x +2question 26: two points from graph: (0,2),(1,1)
b=2 ( when x=0, y=b=2)
m=1-2/1-0
m=-1
y= - x+2Plrase help ya'll I am going to rip my hair out i'm overthinking
Answer: 31
Step-by-step explanation:
add the 2 lengths of the given parts.
Answer:
jk+kl=kl
15+16=31
mark it as brainliest!!!
Solve for x. 6x+11=3x-10
Which expression represents the perimeter of the rectangle above?
6x + 3
10x + 6
8x2 + 6x
12x + 6
Answer:
12x+6
Step-by-step explanation:
(4x+3)+(4x+3)+(2x)+(2x)
4+4+2+2=12, 3+3=6
12x+6
Find the difference quotient and simplify the answer. g(x) = 3x - 1
Answer:
Consider the difference quotient formula.
f(x+h)−f(x) / h
Find the components of the definition.
g(x+h)=3h+3x−1
g(x)=3x−1
Plug in the components.
g(x+h)−gx / h = 3h+3x−1−(3x−1) / h
Simplify = 3
Enter the decimal 1.18 as an improper fraction in simplest form.
Answer:
59/50
Step-by-step explanation:
118/100 divided by 2/2
=59/50
Solve.
2(7y - 5) = 4
Answer:
y=1
Step-by-step explanation
So basically 2 *7y is 14y and 2*5 equals 10
bring the 10 to the 4 and you have 14y=14
y=1
TWO QUESTIONS !! GEOMETRY
Answer:
1) y= 1x +1
2) -2/5
Step-by-step explanation:
5 + 1/ 4 + 2 = slope of 1
y-5 = 1(x-4) solve for y
y = 1x + 1
Given f(x) = 2x + 1, find the range value if the domain value is 1.75.
Given:
The function is
[tex]f(x)=2x+1[/tex]
To find:
The range value if the domain value is 1.75.
Solution:
Domain is the set of input values and range is the set of output values.
Here, range value if the domain value is 1.75. It means the value of function f(x) at x=1.75.
Substitute x=1.75 in the given function.
[tex]f(1.75)=2(1.75)+1[/tex]
[tex]f(1.75)=3.5+1[/tex]
[tex]f(1.75)=4.5[/tex]
Therefore, the required range value is 4.5.
Cesar has read 89 pages of a book for his
English class. If the book has 257 pages and
he can read 21 pages per hour, how many
hours will it take Cesar to finish the book?
a. 168
b. 8
C. 12
d. 5
Answer:
X=8
Step-by-step explanation:
First subtract the read pages with the unread pages which is 168.
Then let 21 pages = to one hour then 168pages(the remaining pages) = x then cross multiply and divide then your answer will be 8
2n/5=10, what is the value of 2n-1
Answer:
49
Step-by-step explanation:
First, multiply 5 on both sides:
2n = 50
Then, we divide 2 on both sides:
n = 25
Now we got the value of n, let's calculate 2n - 1.
First, multiply 2 by n so we can get 2n:
2 * 25 = 50
Then, we calculate 50 - 1:
We got 49, and that's the answer ^^
Hope this helps!
The value of 2n-1 is 49 if 2n/5=10, after applying the concept of a linear equation and the value of n is 25.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
2n/5 = 10
2n = 50
n = 25
Plug the value of n in the expression 2n - 1
= 2(25) - 1
= 49
Thus, the value of 2n-1 is 49.
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Use estimation to determine the product of 15.4 and 5.7
Answer:
about 90
Step-by-step explanation:
15.4 rounds down to 15
5.7 rounds up to 6
15 × 6 = 90
During the summer, the height of the water in the pool decreased by 5 inches each week due to evaporation. What is the change in the height of the water over an 8 week period?
Answer:
40 inches
Step-by-step explanation:
We know that the height of water in a pool decreased 5 inches per week.
This means that we can form the equation [tex]y=-5x[/tex], since the amount of water remaining is proportionate to the amount of weeks that have passed.
We know [tex]x=8[/tex], since we need to find the change for 8 weeks.
[tex]y = -5\cdot 8[/tex]
[tex]-5 \cdot 8 = -40[/tex]
[tex]y=-40[/tex]
The change will be the absolute value of -40, which just makes it positive, so 40.
Hope this helped!
Answer:
40 inches evaporated
Step-by-step explanation:
5 in / week
Multiply 5 in by 8 wks
= 40 inches of water evaporated over 8 wks
why did the chicken cross the road
Answer:
To get to the other side
Obviously
Answer:
"To get to the other side".
What is even the point of that "joke"?:
"Why did the chicken cross the road?" is a common riddle joke, with the answer being "To get to the other side". It is an example of anti-humor, in that the curious setup of the joke leads the listener to expect a traditional punchline, but they are instead given a simple statement of fact.