Answer:
-6
Step-by-step explanation:
The average rate of change of a function, f(x), on interval [a,b] is (f(b)-f(a))/(b-a).
So the avereage rate of change of a function, f(x)=x^2+5x+1, on [-9,-2] is
(f(-2)-f(-9))/(-2--9)
(f(-2)-f(-9))/(7)
Stop!
To find f(-2), you replace x in f(x) = x^2 + 5x + 1, with (-2) giving you f(-2)=(-2)^2+5(-2)+1=4-10+1=-6+1=-5.
To find f(-9), you replace x in f(x) = x^2 + 5x + 1, with (-9) giving you f(-2)=(-9)^2+5(-9)+1=81-45+1=36+1=37.
Continue!
(f(-2)-f(-9))/(7)
=(-5-37)/7
=(-42)/7
=-42/7
=-6
write a function g whose graph represents a horizontal shrink by a factor of 1/2 of the graph f(x)= |2x| +4
The function g is:
[tex]g(x) = |4x| + 4[/tex]
----------------------
Horizontally shrinking a function f(x) by a factor of [tex]\frac{1}{a}[/tex] is equivalent to finding f(ax).
----------------------
In this question, the function is:
[tex]f(x) = |2x| + 4[/tex]
Horizontally shrinking by a factor of [tex]\frac{1}{2}[/tex] means that [tex]a = 2[/tex], so:
[tex]g(x) = f(ax) = f(2x) = |2(2x)| + 4 = |4x| + 4[/tex]
Thus, the function g is:
[tex]g(x) = |4x| + 4[/tex]
A similar question is given at https://brainly.com/question/20379647
Estimate the solution to the system of equations.
Hey there! I'm happy to help!
Since we are using graphs, we will do not need to algebraically solve this system of equations.
When you graph a system of equations, the solution is always the point at which the two lines intersect.
Here is our system of equations graphed. We see that the lines intersect at about (1 1/3, 2 1/3). Therefore, the correct answer is C. x=1 1/3, y=2 1/3
Have a wonderful day! :D
HELP ASAP!!!!!
thanksssssss
Answer:
[tex]9(c+5)=9c+45[/tex]
Step-by-step explanation:
Multiply 9 by the variable and the number
Plssss help plssssss
Answer:
True
Step-by-step explanation:
Just compare the numbers to the dots.
I hope this helps!
pls ❤ and give brainliest pls
Answer:
true
Step-by-step explanation:
The answer is true.
A carpenter has a 10 1/2 foot wood plank. He cuts off 4 1/4 feet to replace a deck board as well as 3 2/3 feet to repair a step. He uses the rest of the plank for a shelf. How many feet of wood does the carpenter have for the shelf? PLEASE SHOW YOUR WORK AND EXPLAIN HOW YOU GOT THE ANSWER PLEASE I WILL MARK YOU BRAINIEST.
Answer:
The carpenter used 2 7/4 feet of plank for the shelf
Step-by-step explanation:
Total length of plank =10 1/2 foot
He used
For Deck board=4 1/4 feet
Step=3 2/3 feet
Shelf=x feet
Total plank=deck board + step + shelf
10 1/2 = 4 1/4 + 3 2/3 + x
Change the fractions
21/2 = 17/4 + 11/3 + x
Add 17/4 + 11/3
21/2 =51+44/12 + x
21/2= 95/12 + x
Collect like terms
21/2 - 95/12 =x
126-95/12 = x
31/12=x
2 7/12 =x
Therefore, the carpenter used 2 7/4 feet of plank for the shelf
Answer:
Step-by-step explanation:
Total length of plank =10 1/2 foot
He used
For Deck board=4 1/4
Step=3 2/3
Shelf=x
Total plank=deck board + step + shelf
10 1/2 = 4 1/4 + 3 2/3 + x
an elevator at a museum can travel 210 m upwards in 35 s. what is the elevators velocity
Answer:
6 meters per second upwards
Step-by-step explanation:
Hello!
To find velocity you divide the distance by the time it took to travel then you add your direction to it
The elevator went 210 m upwards in 35 seconds so we divide these numbers
210 / 35 = 6 meters per second upwards
The answer is 6 meters per second upwards
Hope this Helps!
In math class, Jose earns 10 points for each A in his homework. If he already has 50 points, how many A’s does he need to get 120 points?
Answer jose needs to get 7 more A's because 5+7=12 so if 50+70=120 then he will need to get 7 more a's hope this helps :)
Step-by-step explanation:
Answer:
He needs 7 A's.
Step-by-step explanation:
The pictures.
Hope this helps!!! :)
can u help me ASAP. i need to know how to do it step by step
Answer:
19
Step-by-step explanation:
[tex]f(x) =4x^3-8x^2+ax+b[/tex] has a factor [tex]2x-1[/tex] and
when divided by [tex]x+2[/tex], remainder is 20.
To find:Remainder when divided by (x-1) ?
Solution:
[tex]2x-1[/tex] is a factor
[tex]2x - 1 = 0 \Rightarrow x = \frac{1}{2}[/tex] when we put this value of x to the function, it will become 0.
i.e.
[tex]\Rightarrow f(\dfrac{1}{2}) =0 =4\times (\dfrac{1}2)^3-8(\dfrac{1}2)^2+\dfrac{a}{2}+b=0\\\Rightarrow \dfrac{1}{2}-2+\dfrac{a}{2}+b=0\\\Rightarrow 1-4+a+2b=0\\\Rightarrow a +2b=3 ......(1)[/tex]
Remainder is 20 when f(x) is divided by [tex]x+2[/tex]
i.e.
[tex]f(-2) =20[/tex]
[tex]\Rightarrow f(-2) =20 =4\times (-2)^3-8(-2)^2-2a+b=20\\\Rightarrow -32-32-2a+b=20\\\Rightarrow -2a+b=84 ...... (2)[/tex]
Solving (1) and (2), Multiply equation (1) by 2 and adding to (2):
[tex]5b=6+84\\\Rightarrow b = \dfrac{90}{5} = \bold{18}[/tex]
By equation (1):
[tex]a+2(18) = 3\\\Rightarrow a = -33[/tex]
So, the equation becomes:
[tex]f(x) =4x^3-8x^2-33x+18[/tex]
[tex]\Rightarrow f(1) = 4(1) -8 (1) -33(1) +18 = \bold{19}[/tex]
So, when divided by (x-1), remainder will be 19.
If f(x) = 3x^2 + 2 and g(x) = x^2- 9, find (f-g)(x).
O A. 4x2 - 7
O B. 2x2 +11
O c. 2x2 - 7
O D. 4x2 +11
Answer:
[tex] \boxed{\sf B. \ 2x^{2} + 11} [/tex]
Given:
f(x) = 3x² + 2
g(x) = x² - 9
To Find:
(f - g)(x)
Step-by-step explanation:
[tex]\sf (f -g)(x) = f(x) - g(x) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =(3x^{2} + 2) - (x^{2} - 9) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =3x^{2} + 2 - x^{2} + 9 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =3x^{2} - x^{2} + 2 + 9 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =(3x^{2} - x^{2}) + (2 + 9) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =2x^{2} + (2 + 9) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =2x^{2} + 11 [/tex]
if 5 hockey balls and 3 sticks cost $230.00 and 5 balls and 2 sticks cost $200 how much does one hockey ball cost?
step by step explanation:
Answer:
$28.
Step-by-step explanation:
We have the system of equations
5b + 3s = 230 (b = cost of 1 ball and s = cost of 1 stick).
5b + 2s = 200
Subtract the above from the first equation:
s = 30
So, substituting in equation 1:-
5b + 3(30) = 230
5b = 230 - 3(30) = 140
b = 28.
Checking in equation 2:-
5(28) + 2(30)
= 10 + 60
= 200.
- this checks out OK.
The cost of one hockey ball will be $28.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The system of equations from the given data are:-
5b + 3s = 230 (b = cost of 1 ball and s = cost of 1 stick).
5b + 2s = 200
Subtract the above from the first equation:
s = 30
So, substituting in equation 1:-
5b + 3(30) = 230
5b = 230 - 3(30) = 140
b = 28.
Therefore, the cost of one hockey ball will be $28.
To know more about an expression follow
https://brainly.com/question/723406
#SPJ5
Can i please get this answered
Answer:
0 is the answer . The explanation is in the attachment .
Somebody that knows the answer please help ASAP!!!!!
Answer:
Below!
Step-by-step explanation:
To find the volume of a cylinder, you can use this formula : v = πr^2h
r = 12km , h = 7 km
v = π(12km)^2(7)
= 3166.72539
Round to the nearest 10th
= 3166.7 km^3
Hope this helps! Best of luck <3
Find the area of the shaded region
Answer:
5x^2 +24x +1
Step-by-step explanation:
First you'll want to find the area of the larger rectangle, and then you'll subtract the area of the smaller rectangle (which is not shaded) to get your answer.
Larger Rectangle:
A = length * width
A = (2x + 3)(4x - 5) = (8x^2 - 10x + 12x - 15) = 8x^2 + 2x - 15
Smaller Rectangle:
A = length * width
A = (x - 8)(3x + 2) = (3x^2 + 2x - 24x - 16) = 3x^2 - 22x - 16
Larger Rectangle minus Smaller Rectangle:
(8x^2 + 2x - 15) - (3x^2 - 22x - 16)
5x^2 +24x +1
Melissa, of Melissa's Lawn and Landscaping Service, needs to replace her mowers.
She has ordered four new gas mowers, at $499 each, and a negotiated Trade
Discount Rate of 9%, with terms of 2/10 EOM, and FOB Shipping Point. The
seller has agreed to prepay the shipping charge of $80, which is not included in the
invoice amount. The invoice from the manufacturer is dated July 26.
Determine:
A)
By what date does Melissa have to pay in order to be able to take the cash
discount?
B)
What is the payment amount assuming that Melissa pays before the end of
the discount period?
Answer:
A) 10th of August
B) $1780.03
Step-by-step explanation:
A) From the payment terms of 2/10 EOM, Melissa is to receive a 2% discount if she pays within 10 days from the end of the month
From the date on the invoice, July 26, the date at which Melissa has to pay to take the cash discount is before the 10th of August
B) The payment amount will be 2% off the original payment amount
The total cost of the four new gas mowers less the trade discount = 499 × 4 × (100 - 9)/100 =$1816.36
The 2% discount will then be $1816.36 × (100 - 2)/100 = $1780.03
The payment amount assuming Melissa pays before the end of the discount period = $1780.03.
-36 + x < 8 Solve for x
Answer:
[tex]x < 44[/tex]
Step-by-step explanation:
We can simplify this inequality by isolating x on one side.
[tex]-36 + x < 8[/tex].
Let's add 36 to both sides.
[tex]-36 + 36 + x < 8 +36\\\\x < 44[/tex]
Hope this helped!
Answer:
x<44
Step-by-step explanation:
Add 36 to both sides:
-36 + x < 8
+36 +36
x < 44
URGENT PLS HELP ASAP! THANK YOU :)
Answer:
box 1 and box2 are correct.
Find the area of the green sector if m2 A-T
and the circle has a radius of 10 inches.
The area is:
A = πR² ------- 2π
A = x --------- π/6
x = πR²/12
x = π.(10)²/12
x = 26.18 in²
Hope it helps x
In right triangle ABC
a.30°
b.45°
c.60°
d.75°
Answer:
c
Step-by-step explanation:
30°+90°+x=180° (the sum of interior angle of a triangle is 180°)
120°+x=180°
x=180°-120°
x=60°
I WILL GIVE BRAINLIEST TO THE BEST ANSWER!!!! I NEED HELP!!!!!
Answer:
D. Both functions are increasing but function g increases at a faster average rate
Step-by-step explanation:
Let's get the values of g(x) for each value of x
X= -2
g= -18(1/3)^-2 +2
g =-160
X= -1
g= -18(1/3)^-1 +2
g= -52
X= 0
g= -18(1/3)^0 +2
g= -16
X= 1
g= -18(1/3)^1 +2
g= -4
X= 2
g= -18(1/3)^2 +2
g= 0
Comparing the first and last values of both f and g we can see clearly that function g has a drastic change in it's rate.
Arjun has two denominations of coins. Two of the smaller denomination coins and three of the larger denomination coins have a value of $2. Two of the smaller denomination coins and seven of the larger denomination coins have a value of $4. What denominations of coins does Arjun have?
Answer:
Smaller coin = s = $0.25 = 25cent.
larger coin = l = $0.5 = 50 cent
Step-by-step explanation:
Given the following :
Let the two coins be s and l
Where s = smaller denomination and l = larger denomination coins
Two of the smaller denomination coins and three of the larger denomination coins have a value of $2
2s + 3l = 2 - - - - (1)
Two of the smaller denomination coins and seven of the larger denomination coins have a value of $4
2s + 7l = 4 - - - (2)
2s + 3l = 2 - - - (1)
2s + 7l = 4 - - - (2)
Subtracting both equations
3l - 7l = 2 - 4
-4l = - 2
l = 2/4
l = 0.5
Put l = 0.5 into (1)
2s + 3l = 2
2s + 3(0.5) = 2
2s + 1.5 = 2
2s = 2 - 1.5
2s = 0.5
s = 0.5 / 2
s = 0.25
Smaller coin = s = $0.25 = 25cent.
larger coin = l = $0.5 = 50 cent
Please answer ASAP!!
plssss
Answer:
86°
Step-by-step explanation:
b = 29× 2 = 58
d= [180-(86+29)]×2 = 130
a=c=x
a+b+c+d = 360
2x+188= 360
2x= 172
x= 86
a = c = 86°
find x.
can someone work it out for me so i can try and figure out how to do problems like this on my own? please and thank you
Answer:
x = 7/2
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj side / hypotenuse
cos 45 = x / 7 sqrt(2) /2
7 sqrt(2)/2 cos 45 = x
7 sqrt(2)/2 (1/ sqrt(2))= x
7/2 = x
Find the measure of a.
Answer:
C
Step-by-step explanation:
The angle at the centre is twice the angle on the circle subtended on the same arc, then
a = 2 × 25° = 50° → C
PLEASSSSSEEE HELPPP ASPPP PLEASEEE
Answer:
x=1
i hope this helps!
Step-by-step explanation:
x+2/-1 =3
x+2 (1) =3
x+2 = 3
x=1
Candy is on sale for $0.75 each. You have a coupon for $0.25 off your total purchase. Write a function rule for the cost of n pieces of candy
Answer:
t = 0.75n - 0.25
t represents your total
Step-by-step explanation:
So lets start by writing our total variable.
t =
Now each candy is 0.75 so lets write that down too.
t = 0.75
Since we don't know how much candy we buy, lets multiply 0.75 by n.
t = 0.75n
Now we have a $0.25 coupon so now subtract the 0.25 from the cost.
t = 0.75n - 0.25
There you go.
Please hell the question is in the photo ^^
May be this.. you may find all the math answers in the app known as Gauth math so I would suggest you to download it .Thank you
what is the gcf of 36, 126, and 210?
Answer:
Greatest common factor (GCF) of 36 and 210 is 6.
Step-by-step explanation:
Answer:
6
Brainliest, please! (Almost an Ace!)
Step-by-step explanation:
Look at the smallest factor, 36. Find its factors.
36: 1, 2, 3, 6, 12, 18, 36
Out of all of them, which is the biggest one that 126 and 210 are also divisible by?
We see that they're divisible by 1, 2, 3, and 6.
Our answer is 6.
If m = 8 and n = 5, then m(n + 3) – n + 1 =
a. 60
b. 58
c. 39
d. 32
y=2/5x-12 is it liear or nolinear or both
Answer:
Step-by-step explanation:
y=2/5x-12 it is a linear equation in the form of y=mx+b
the best way to know is to graph the function
if 2 and 4 are the factors of a number than is 8 always a factor? true or false
Answer:
hmmm I think it's true, if it's not my bad.