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]
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
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
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:
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
plzzzzz help______________
Answer:
iii
y=70
x=110
is that what you needed help with?
please help me solve
please show how you got 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
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]
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
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
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!
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
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
help please. :) we support juneteenth lol
Answer:
it is a Equilateral triangle
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
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?
Lim(4/3)^n bằng bao nhiêu
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
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
6. Using the distributive property, find the following products 1002 x 1518
Answer:
The best choice of answer answer is = 1521036
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:
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]
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
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
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
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
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
The four factors of 91
Answer:
1,7,13,91
Step-by-step explanation:
thats the four factors if 91
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