Answer: [tex]30[/tex]
Step-by-step explanation:
Given
[tex]k(x)=2x+3[/tex]
[tex]M(x)=3x^2+7x-10[/tex]
[tex]M\left(k(x)\right)[/tex] is given by replacing the [tex]x[/tex] by [tex]k(x)[/tex] from the [tex]M(x)[/tex]
[tex]\Rightarrow M\left(k(x)\right)=3(2x+3)^2+7(2x+3)-10\\\Rightarrow M\left(k(x)\right)=3(4x^2+9+12x)+14x+21-10\\\Rightarrow M\left(k(x)\right)=12x^2+50x+38[/tex]
Now, [tex]M\left(k(-4)\right)[/tex] is
[tex]\Rightarrow M\left(k(-4)\right)=12(-4)^2+50(-4)+38\\\Rightarrow M\left(k(-4)\right)=192-200+38\\\Rightarrow M\left(k(-4)\right)=30[/tex]
ans thissss plsssssssassss
Answer:
21.16 m^2
Step-by-step explanation:
perimeter of square=4l
18.4/4=l
4.6=l
area of square=l^2
=4.6^2
=21.16 m^2
Find the distance from the person to the tower, given that the nested triangles are similar.
PLEASE HELP ASAP!!!!! due in 5 minutes
Step-by-step explanation:
DE/CE=AB/CB
6/10=100/(CE+BE)
6/10=100/(10+BE)
reducing fraction
3/5=100/(10+BE)
3(10+BE)/5 =100
3(10+BE)=500
BE=(500/3)-10
BE=470/3
BE=156.67ft
plzzzzz help______________
Answer:
iii
y=70
x=110
is that what you needed help with?
The area of a rectangle is represented by x2 + 2x - 3. The width of the rectangle is x - 1. What is the length of the rectangle?
A. X+3
B. x-3
c. x+4
D.X-2
Answer:
Option A. x + 3
Step-by-step explanation:
From the question given above, the following data were obtained:
Area (A) = x² + 2x – 3
Width (W) = x – 1
Lenght (L) =?
The area of a rectangle is given by:
Area (A) = length (L) × Width (W)
A = L × W
With the above formula, we can obtain the lenght of the rectangle as follow:
Area (A) = x² + 2x – 3
Width (W) = x – 1
Lenght (L) =?
A = L × W
(x² + 2x – 3) = L(x – 1)
Divide both side by (x – 1)
L = (x² + 2x – 3) / (x – 1)
Please see attached photo for explanation
L = x + 3
Thus, the length of the rectangle is x + 3
The graph of y=4x2-4x-1=0
Answer:
Here we have the equation:
y = 4*x^2 - 4*x - 1
And we should have the graph (you can see it below this answer)
Now we want to find the solutions of:
4*x^2 - 4*x - 1 = 0
These solutions will be the two values of x at which the graph of our function intersects the line y = 0, that is the x-axis.
Then we need to find the two values of x at which our graph intersects the x-axis.
In the graph, we can estimate the solutions as:
x = -0.2
x = 1.2
To find the exact solutions we can use the Bhaskara's equation, and we will find that the solutions are given by:
Then the two solutions are:
x = (4 + 5.66)/8 = 11.2075
x = (4 - 5.66)/8 = -0.2075
Step-by-step explanation:
which recursive formula can be used to represent the sequence 2,4,6,8,10.... ?
a
b
c
or d
Step-by-step explanation:
the (A) formula is preferable to use and is the correct one
you borrow $90 from your grandmother. You pay back $15 each week. write an equation in standard form that represents the amount owed y after x weeks.
Answer:
90-15x
Step-by-step explanation:
x being the number of weeks
The four factors of 91
Answer:
1,7,13,91
Step-by-step explanation:
thats the four factors if 91
alicia is a nurse in 2016 she earned a monthly salary of £1750
Answer:
Step-by-step explanation:
Given :
Salary in 2016 = 1750
Pay rise in 2017 = 2%
Monthly salary = (1 + 2%) of 175= 1.02 * 1750 = 1785
Hours worked per week = 45 hours
Number of weeks = 48 weeks
The total hours worked for the year :
(48 * 45) = 2160 hours
Average pay per hour for the year ;
(Average Salary earned over 12 months) /total number of hours worked for the year
(1785 * 12) / 2160
= 21420 / 2160
= 9.9166 per hour
= $9.92 per hoj
what is x
−9.2= 2.5 − 3.9 x
Answer:
3.08 = x
Step-by-step explanation:
-9.2 = 2.5 - 3.9x
-9.2 + (-2.5) = -3.9x
-12 = -3.9x
-12/-3.9 = x
3.08 = x
Hope this helps!
When the fifth term of an arithmetic sequence whose  common difference is D=six and whose first term is a1 =four
Answer:
28 is the answer
Step-by-step explanation:
in an arithmetic sequence nth term An is given by the equation
[tex]an \: = a1 + (n - 1) \times d[/tex]
where A1 is first term and d is common difference. thus from the question we have
[tex]a5 = 4 + ((5 - 1) \times 6) \\ = 4 + (4 \times 6) \\ = 4 + 24 \\ = 28[/tex]
If f(x) = 3x + 2, what is f(5)?
Answer:
17
Step-by-step explanation:
f(x) = 3x + 2
Let x=5
f(5) = 3*5 + 2
Multiply first
= 15+2
Then add
= 17
36) In the diagram, the coordinates of endpoints A and B are (-3, 9) and (9,5). Find the length from A to E?
Step-by-step explanation:
the length of AB = √(9+3)²+(5-9)²
= √144+16=√180 = 6√5
the length from A to E = ⅜× 6√5
= 2.25 √5 or 5.03
Length of AB,
→ √(9+3)² + (5-9)²
→ √144+16
→ √180
→ 6√5
Length from A to E,
→ ⅜ × 6√5
→ 2.25 √5
→ 5.03
The total length of 8 bricks is 75cm longer than the total length of 5 bricks. Write an equation and solve it to find the length of each brick.
Answer:
8x = 75 + 5x
where x = length of one brick
25cm
Step-by-step explanation:
help please. :) we support juneteenth lol
Answer:
it is a Equilateral triangle
Frereise !
Calculate the coordinates of the intersection point of the two lines (4.) and ((,)
1) (d): y = 4x-2 and (d): y = 8v+6 2)(a); y .-2x + 7 and (d): y = 3x - 3
3)(y *d
4) (4): y
and (d): y -
1
1
1
3
4
5
Exercise 2
1) The straight line (d): y = 5x + 2 cuts (x'x) and (y'y) at two points E and F respectively,
Calculate the coordinates of E and F
2) The straight line (d): y = cuts (x'x) and (y'y) at two points E and F respectively,
Calculate the coordinates of E and F
3
5
.
: y
2
Answer:
Mastong by skoger넞호오ㅗ노아ㅗ너너엉
6. Using the distributive property, find the following products 1002 x 1518
Answer:
The best choice of answer answer is = 1521036
Find the volume of the sphere.
Either enter an exact answer in terms of πpi or use 3.14 for π and round your final answer to the nearest hundredth.
Answer:
V=4
3πr3 is formula of this question
Lim(4/3)^n bằng bao nhiêu
Help plz assap with these 4 questions :(:)))
Answer: -The diameter: 2m
-The radius: 0.5m
-"name":SG
-The radius:12m
Answer:
5,D,2,24
Step-by-step explanation:
qn1=5
qn2=D
qn3=2
qn4=24
Recently, the value of a house increased by 20.5%.
What is the current value of the house if its original value
was $550,000?
has side lengths 5 units, 10 units, and 12 units. is similar to and its longest side is 24 units. What is the
perimeter of ?
Answer:
51
Step-by-step explanation:
To get the perimeter, add all the side lengths: 5+10+12+24=51
Liz flips a coin 60 times. The coin lands heads up 36 times and tails up 24 times. The EXPERIMENTAL probability of the coin landing TAILS up is ___%.
Answer:
60% because... it is correct
Which of the following points is not a solution of the system shown?
x ≥ 7
y ≤ x + 7
(7, 15)
(8, 14)
(7, 7)
Answer:
(7,7)
is not solution of following point
please help me solve
please show how you got the answer
What is the slope of the line?
Any help?
Answer:
slope = 1
Step-by-step explanation:
slope = (y2 - y1)/(x2 - x1)
= (1-0)/(4-3)
= 1
Side note: I used the points (3,0) & (4,1)
Answer:
1
Step-by-step explain
firstly find any two point on the line
e.g. (0,-3) and (3,0)
for any straight line
[tex]m=\frac{y'-y}{x'-x}[/tex]
where m is slope, y' x' y x are coordinates of two point (x,y) and (x',y')
in this case, we can use (0,-3) and (3,0)
[tex]m=\frac{0-(-3)}{3-0} =\frac{3}{3} =1[/tex]
In 24 games, Jamie has 48 scoring attempts. Which unit rate describes Jamie's scoring attempts? A) 1/2 of a scoring attempt per game. B) 2 scoring attempts per game. C) 24 scoring attempts per game. D) 72 scoring attempts per game
Answer:
The answer is B) 2 scoring attempts per game.
categorize the following graph is linear increasing, linear decreasing, exponential growth, or exponential decay.
Answer:
Exponential Decay is the answer
write 2x+5/x + 3/x+3 as a single fraction to it's simplest form
oky oky oky oky oky oky
sana makatulonh
If the S.P. of an article is Rs 240 and the discount given on it is Rs 28, then the M.P. is _______.
Answer:
M.P=S.P-Discount given
M.P=240-28=212