Answer:
-13, -15, -17, -19, -21
Step-by-step explanation:
keep going but just add two :)
What do the words coefficient and constant mean in mathematics?
Answer:
Step-by-step explanation:
Coefficients are the numbers that come BEFORE a variable, just as 55 is in the term 55x. Constants are numbers in an equation that never change, unless you add them with another constant. For example, in the equation 34x+55=24, the constants are 55 and 24. The only way that either changes is by subtracting the 55 from the 24.
Is (x + 5) a factor of f(x) = x3 − 4x2 + 3x + 7? Use either the remainder theorem or the factor theorem to explain your reasoning. This is worth 100 points. Will mark brainliest. Whatever you want. Please answer this.
Answer:
(x + 5) is not a factor of, [tex] f(x) = x^ 3 − 4x^2 + 3x + 7 [/tex]
Step-by-step explanation:
[tex] f(x) = x^ 3 − 4x^2 + 3x + 7 \\ \\ let \: x + 5 = 0 \\ \implies \: x = - 5 \\ \\ plug \: x = - 5 \: in \: f(x) \\ \\ f( - 5) = ( - 5)^ 3 − 4( - 5)^2 + 3( - 5) + 7 \\ \\ f( - 5) = - 125 − 4(25) - 3( 5) + 7 \\ \\ f( - 5) = - 125 − 100 - 15 + 7 \\ \\ f( - 5) =7 - 240 \\ \\ f( - 5) = - 233 \\ \\ \because \: f( - 5) \neq 0 \\ \implies \: remainder\: is\: not\: zero\\ \therefore \: (x + 5) \: is \: not \: a \: factor \: of \: \\ f(x) = x^ 3 − 4x^2 + 3x + 7 \\ [/tex]
Two spheres have a scale factor of 1:3. The smaller sphere has a surface area of 16 ft2. Find the surface area of the larger sphere.
Answer:
48ft^2
Step-by-step explanation:
Given that:
Small and large Spheres have a scale factor of 1 : 3
Hence,
Smaller sphere = 1
Larger sphere = 3
Surface area of smaller sphere = 16ft^2
Hence,
Surface area of larger sphere = (3 * 16ft^2) = 48ft^2
y equals the quotient of the quantity x squared plus 4 times x and the quantity x cubed minus 5.
Given:
Consider the completer question is "Find the derivative [tex]\dfrac{dy}{dx}[/tex] for [tex]y=\dfrac{x^2-4x}{x^3-5}[/tex]."
To find:
The derivative [tex]\dfrac{dy}{dx}[/tex].
Solution:
Chain rule: [tex]\dfrac{d}{dx}f(g(x))=f'(g(x))\cdot g'(x)[/tex]
Quotient rule: [tex]\dfrac{d}{dx}\dfrac{f(x)}{g(x)}=\dfrac{g(x)f'(x)-f(x)g'(x)}{[g(x)]^2}[/tex]
We have,
[tex]y=\dfrac{x^2-4x}{x^3-5}[/tex]
Differentiate with respect to x.
[tex]\dfrac{dy}{dx}=\dfrac{d}{dx}\left(\dfrac{x^2-4x}{x^3-5}\right)[/tex]
Using chain rule and quotient rule, we get
[tex]\dfrac{dy}{dx}=\dfrac{(x^3-5)\dfrac{d}{dx}(x^2-4x)-(x^2-4x)\dfrac{d}{dx}(x^3-5)}{(x^3-5)^2}[/tex]
[tex]\dfrac{dy}{dx}=\dfrac{(x^3-5)(2x-4)-(x^2-4x)(3x^2)}{(x^3-5)^2}[/tex]
[tex]\dfrac{dy}{dx}=\dfrac{2x^4-4x^3-10x+20-3x^4+12x^3}{(x^3-5)^2}[/tex]
[tex]\dfrac{dy}{dx}=\dfrac{-x^4+8x^3-10x+20}{(x^3-5)^2}[/tex]
Therefore, the required answer is [tex]\dfrac{dy}{dx}=\dfrac{-x^4+8x^3-10x+20}{(x^3-5)^2}[/tex].
Can someone help me please? I will give brainly
Answer:106 I think
Step-by-step explanation: If its 2z+7w and z and w means 8 it makes 2z 28 and makes 7w 78 and then u add 28+78= 106
A gas station sells unleades regular petrol and preminum charged by station for regular is$1.299
Answer:
a. Assuming gallons of unleaded regular is denoted by r; and unleaded premium by p.
Revenue from one gallon of unleaded regular is $1.299 and from unleaded premium is $1.379.
Revenue function = 1.299r + 1.379p
b. Cost of one gallon of unleaded regular is $1.219 and for unleaded premium is $1.289.
Cost function = 1.219r + 1.289p
c. Total profit = Revenue - Cost
= 1.299r + 1.379p - 1.219r - 1.289p
= 1.299r - 1.219r + 1.379p - 1.289p
= 0.08p + 0.09p
d. If station sells 100,000 gallons of unleaded regular and 40,000 of unleaded premium;
= (0.08 * 100,000) + (0.09 * 40,000)
= 8,000 + 3,600
= $11,600
The image point of A after a translation right 4 units and down 4 units is the point B(12, – 7). Determine the coordinates of the pre-image point A.
Answer:
(8, –3)Step-by-step explanation:
Translation right or left means change of the x-coordinate.
Translation up or down means change of the y-coordinate.
Translation right or up means adding.
Translation left or down means subtracting.
[tex]A=(x_A, y_A)\quad\rightarrow\quad B=(x_A+4,\,y_A-4)\\\\x_A+4=12\qquad\qquad y_A-4=-7\\\\x_A=12-4\qquad\qquad y_A=-7+4\\\\x_A=8\qquad\qquad\qquad y_A=-3\\\\A=(8,-3)[/tex]
−3x^ 2 +6x+9=
factor
Answer:
the answer in factor form would be
-3(
i need halp on this because i didnt listen in class
Listen in class next time please.
a professional tennis court is a rectangle that is 120 feet long and 60 feet wide. what is the area of the court? what is the perimeter?
Answer:
The area is 7200 square feet and the perimeter is 360 feet.
Step-by-step explanation:
Formulas (for easier reference):
Area of rectangle: length × width
Perimeter of rectangle: length + width + length + width
We can just apply the formulas.
Area of court = 120 × 60
= 7200 square feet
Perimeter of court = 120 + 60 + 120 + 60
= 360 feet
If a train goes at a constant speed of 40 miles per hour for one hour, then at a constant speed of 50 miles per hour for two hours, what is its instantaneous speed at the beginning of the last hour of its trip?
Answer:
60
or 200 miles is the hole trip
Step-by-step explanation:
which expression best describes the graph?
Answer:
Y = -2/3x + 2 best describes the graph because 2 of the answers have 3 as the Y intercept and the other option with the correct Y intercept doesn't give enough information about the slope
A 0.0375
B 6
C 60
D 600
Can you help pleaseeee!!
Step-by-step explanation:
kfkdkdjdjdjjdjdjdjjdjdndjdjdjjdjdjdjjrjdjdjnd
Do any body know the summary for The Christmas carol act 2 scene 2?
Answer:
Act 2 of the Christmas Carol begins with Scrooge getting a visit from the ghost of Christmas present. This spirit is a jolly man filled with happiness and laughter. ... Scrooge sees Bob Cratchit's crippled son, Tiny Tim, who shows so much kindness towards everyone that it warms Scrooge's heart.
Step-by-step explanation:
your welcome
Which input value produces the same output value for
the two functions?
O x=-12
O x=9
O x=-6
Ox=-3
Answer:
-6
Step-by-step explanation:
Took test
At x = -6, both functions have the same output of 3.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Now, We get;
f(x) = 2/3x + 7
when x = -12;
= 2/3(-12) + 7
= -8 + 7
= -1
g(x) = 2x + 15....
when x = -12
= 2(-12) + 15
= -24 + 15
= - 9
When x = -9;
f(x) = 2/3(-9) + 7 g(x) = 2(-9) + 15
= -6 + 7 = -18 + 15
= 1 = -3
When x = -6;
f(x) = 2/3(-6) + 7 g(x) = 2(-6) + 15
= -4 + 7 = -12 + 15
= 3 = 3
Thus, At x = -6, both functions have the same output of 3.
Learn more about the function visit:
https://brainly.com/question/11624077
#SPJ7
Here is a list of ages (years) of children in a room
8,7,5,4,7,7,2
State the median
Answer:7
Step-by-step explanation:
To find the median you need to first put the number in order from least to greatest this would be 2, 4 ,5, 7, 7, 7, 8
next you have to find the number in the middle
That is your median, 7 is your median.
Halp ;-; A florist is using 36 flowers to make 4 identical arrangements. How many flowers will be in each arrangement?
Math item stem image
CLEAR SUBMIT12 flowers
10 flowers
9 flowers
4 flowers
Check all equations that are equivalent. Q = 180(23 - 2) + 1 180 180+ Q + 300 180
A, C, and D are are all equal to a = 180n − 360, while answer B is equal to a = 180n − 180. Therefore, A, C, and D are all equivalent to each other.
work out the value of x
Answer:
65 Degrees
Step-by-step explanation:
Answer:
X=65°
Step-by-step explanation:
Fine y =71°, alternate angle.
Find Z
71 °+ Z +65° =180°
136° + z= 180°
collect like team
Z=180°-136°
Z = 44°
Find X
Y + X + Z=180°
input the value of y and x
71° + X +44° =180°
115°+ X=180°
X = 180°-115°
X =65°
Hope it is helpful.
Please help! Divide. Write the quotient in lowest terms.
Plz answer quickly will mark brainless
Answer:
652
Step-by-step explanation:
7*18*2=252 for right and left
8*18*2=288 for front and back
7*8*2=112 for top and bottom
252+288+112=652
(can I get brainliest now)
Answer: SA=652 ft^2
Step-by-step explanation:
144(2)+126(2)+56(2)=SA
288+252+112=SA
SA=652 ft^2
this might be wrong btw
What is the probability that Mark and Bobby will both choose mushrooms?
Answer: choose mushrooms out of what?
amanda had to pay sales tax on a new iphone case she purchased last week. The iphone case was 35.00 and she pid 2.45 in taxes, what percent of the original price did she pay in taxes?
HELP
Answer:
7%
Step-by-step explanation:
[tex]\frac{2.45}{35} = \frac{x}{100}[/tex]
[tex]2.45*100[/tex] and [tex]35x[/tex]
[tex]\frac{245}{35} = \frac{35x}{35}[/tex]
[tex]245/35=7[/tex]
what is the sum of (x - 8) - (2x + 2)
Answer:
the answer is 4
Answer:
[tex]-z-10[/tex]
Step-by-step explanation:
Help me please due in 30 minutes !
Answer:
B
Step-by-step explanation:
An office printer prints 24 photos in 8 minutes. A home printer prints 36 photos in 18 minutes. Find the unit rate of each printer. Tell which printer is the one that prints at a faster rate. please help
Answer:
office printer
Step-by-step explanation:
24/8= 3 per min
36/18= 2 per min
office printer is faster
Answer:
The office printer.
Step-by-step explanation:
If the office printer prints 24 photos in 8 minutes, then it prints 3 per minute, since 24/8=3.
If the home printer prints 36 photos in 18 minutes, then it prints 2 per minute, since 36/18=2.
the crowd at a sporting event is estimated to be 2,500 people. the exact attendance is 2,486 people. what is the percentage error?
Answer:
0.56%
Step-by-step explanation:
Percentage error
[tex] = \frac{2500 - 2486}{2500} \times 100 \\ \\ = \frac{1400}{2500} \\ \\ = 0.56\%[/tex]
The crowd at a sporting event is estimated to be 2,500 people, the exact attendance is 2,486 people, the percentage error is, 0.56%
What is the percentage?The percentage is a mathematical term, which means a number or a ratio which is represented in fractions of 100. We use the '%' symbol to represent the percentage.
Formula for percentage;
Percentage = (present quantity/whole quantity)×100
Given that,
The crowd estimated to be 2,500 people
The exact attendance is 2,486 people
Percentage error = ?
Percentage error = (estimated value- exact value)/estimated value×100
Percentage error = (2,500 - 2,486) /2500×100
= 0.56%
So, the percentage error is 0.56%
To know more about Percentage check:
https://brainly.com/question/29306119
#SPJ1
Sara Wants to Triple A recipe For Brownies. The recipe Calls For 1 1/3 cups of Flour. There are exactly 4 cups of flour left in the Canister. Will It be enough?? like this is like a Yes or No question.. I got my answer But I want to make sure I Got It Correct. Please Help!!
80 Points someone please help emergency!!
Answer:
it could be (x - 2)^2 + (y - 4) ^2 = 6
Step-by-step explanation:
because the first 2 blanks are the coordinates of the center and the last one should be the radius. as long as u know the radius then u should know the last part
(x - 2)^2 + (y - 4) ^2 = 6
your welcome!
The soccer club had a party in a private room at a restaurant. The restaurant charged $25 for the private room, and $9 per person. The cost (C) for p people to attend the party is modeled by the equation below. C = $25 + $9p How much did it cost if 18 people attended the party?
Answer:
$187
Step-by-step explanation:
C = $25 + $9(18 people)
C = 25 + 162
C = $187