Answer:
1
Step-by-step explanation:
The function with the given zeros will factor as ...
f(x) = a(x +15)(x^2 +9) . . . . with leading coefficient 'a'
You have ...
f(2) = 221 = a(2+15)(2^2+9) = a(17)(13) = 221a
Then a = 221/221 = 1
The leading coefficient is 1.
_____
Additional comment
As you know, a function with zero x=p has a factor of (x -p). The given zeros mean the function has factors (x -(-15)), (x -3i). and (x -(-3i)). The product of the last two factors is the difference of squares: (x^2 -(3i)^2) = (x^2 -(-9)) = (x^2 +9). This is how we arrived at the factorization shown above.
How many solutions does this equation have?
–2b − 9 = –b
Answer:
b= -3
b=3/2=1.500
Step-by-step explanation:
step 1 . b • (2b + 3) - 9 = 0
Step-2 : Find two factors of -18 whose sum equals the coefficient of the middle term, which is 3 .
-18 + 1 = -17
-9 + 2 = -7
-6 + 3 = -3
-3 + 6 = 3
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and 6
2b2 - 3b + 6b - 9
Step-4 : Add up the first 2 terms, pulling out like factors :
b • (2b-3)
Add up the last 2 terms, pulling out common factors :
3 • (2b-3)
Step-5 : Add up the four terms of step 4 :
(b+3) • (2b-3)
solve pls brainliest
-scale drawing is a drawing that shows a real object with accurate sizes reduced or enlarged by a certain amount ( called the scale )
-the answer is: scale drawing
Please give me the answer ASAP.
Answer:
-t+2>10
Step-by-step explanation:
Just ask.
Hope this helps! :D
The food you ordered at a restaurant costs $32.
lowa sales tax is 7%.
It was good service- You decided to tip 20%.
How much tax would be added to your bill?
What is the cost after tax?
What is the amount after the tip
Find the total cost you will pay
Answer:The food you ordered at a restaurant costs $32.
lowa sales tax is 7%.
It was good service- You decided to tip 20%.
How much tax would be added to your bill?
What is the cost after tax?
What is the amount after the tip
Find the total cost you will pay
Step-by-step explanation:
Item 4
What is the expanded form of this number?
570.086
(5×100)+(7×10)+(8×110)+(6×1100)
(5×100)+(7×10)+(8×1100)+(6×1100)
(5×100)+(7×10)+(8×1100)+(6×11,000)
(5×100)+(7×10)+(8×110)+(6×11,000)
Answer:
10, 100. 70,700
Step-by-step explanation:
cuz qauntom of 11 77 divided by 11
my Christmas present to you
Answer: ty
Step-by-step explanation:
Which statement best explains whether the table represents a linear or nonlinear function? (4 points)
Input Output
(x) (y)
0 1
1 2
2 4
3 16
Answer:
Step-by-step explanation:
Nonlinear, because the slope is not constant - it keeps changing.
Slope between (1,1) and (1,2) is (1/1) or 1
Slope between (2,4) and (16,3) is:
Rise = (3-4) = -1
Run = (16-2) = 14
Slope = 14/-1 or -14
Definitely not linear. The slope changes dramatically very quickly. A straight line would disapprove.
4x^2+8x-12 in vertex form
Answer:
y = 4 (x + 1)² - 16
Step-by-step explanation:
Step 1: Equation at the end of step 1
(2²x²+8x)-12
Step 2:
Step 3: Pulling out like terms
Pull out like factors :
4x² + 8x - 12 = 4 • (x² + 2x - 3)
Trying to factor by splitting the middle term
Factoring x²+ 2x - 3
The first term is, x²
its coefficient is 1 .
The middle term is, +2x its coefficient is 2 .
The last term, "the constant", is -3
Step-1 : Multiply the coefficient of the first term by the constant 1 • -3 = -3
Step-2 : Find two factors of -3 whose sum equals the coefficient of the middle term, which is 2 .
-3 + 1 = -2
-1 + 3 = 2 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -1 and 3
x² - 1x + 3x - 3
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-1)
Add up the last 2 terms, pulling out common factors :
3 • (x-1)
Step-5 : Add up the four terms of step 4 :
(x+3) • (x-1)
Which is the desired factorization
Final result :
Final result :
4 • (x + 3) • (x - 1)
Now convert to vertex form:
y = 4 (x + 1)² - 16
12x(8x-20)÷4(2x-5) please solve it
Answer: 48[tex]x^{3}[/tex]-240[tex]x^{2}[/tex]+300x
hopes this helps
helppppppppppppppppp
Answer:
A multiplicative inverse or reciprocal for a number x, is denoted by 1/x or x‾¹.
So, the answer to your question is B. a × (1/a) = 1.
Hope this helps!! :)
A researcher measured the length of several lizards she found in a field and recorded the data in the box plot shown below.
Simplify and write your answer in the form a+bi.
10/1+2i (this is a fraction)
Answers:
A. 10-20i/5
B. 2-4i
C. 1-2i
D. 10+5i
[tex]\dfrac{10}{1+2i}\\\\\\=\dfrac{10(1-2i)}{(1+2i)(1-2i)}\\\\\\=\dfrac{10-20i}{1 - (2i)^2}\\\\\\=\dfrac{10-20i}{1+4}~~~~~;[i^2 =-1]\\\\\\=\dfrac{10-20i}5\\\\=\dfrac{10}5 - \dfrac{20i}5\\\\=2-4i[/tex]
A car moving at a constant speed passed a timing device at t = 0. After 8 seconds, the car has traveled 936 ft. Write a linear function rule to model the distance in feet d the car has traveled any number of seconds t after passing the timing device.
Answer:
The required equation is:
d = 81tf(t) = 81tStep-by-step explanation:
I think that's the answer
The linear function rule to model the distance in feet 'd' that the car has traveled any number of seconds 't' after passing the timing device. can be represented as d = f(t) = 117t
What is Linear Function?A linear function can be defined as the function whose graph is a straight line. It can also be defined as the function with one or more variables but does not have exponents to the variables or the exponent of the variable is 1.
Given that car is moving at a constant speed.
Distance travelled by car = 936 feet
Time taken to travel the distance = 8 seconds
Speed = Distance / Time
= 936 / 8
= 117 feet per second
So the car will be moving at a speed of 117 feet per second at any time t.
Distance of car at any time is,
Distance = Speed × Time
d = 117 × t
d = f(t) = 117t
Hence the linear function which models the relationship between d and t is d = f(t) = 117t.
Learn more about Linear Functions here :
https://brainly.com/question/20286983
#SPJ2
8.517
In word form, please
and expanded, please help
Answer:
eight point five one seven.
Step-by-step explanation:
help me no bots I need help pls give me all 3 answers!
Answer:
y= -10x+70
slope being -10 and y-intersept being 70
Step-by-step explanation:
Answer:
Equation: y=-10x+70
Slope: -10
Y-Intercept: 70
Hope this helps!
Step by step? Just ask.
Doubt? --> comment section.
Happy Holidays! (✿◡‿◡)
A store owner wishes to make a new tea with a unique flavor by mixing black tea and oolong tea. If he has 35 pounds of oolong tea that sells for $2.40 per pound, how much black tea worth $1.80
The cost of 35 pounds of oolong tea is $84.
An equation is used to show the relationship between two or more variables or numbers.
Given that oolong tea sells for $2.40 per pound.
There are 35 pounds of oolong tea available. Hence:
Cost of 35 pounds of oolong tea = $2.40 per pound * 35 pound
Cost = $84
Hence, the cost of 35 pounds of oolong tea is $84.
Find out more at: https://brainly.com/question/21105092
Answer:
35 LB (THIS IS ACTUALLY CORRECT)
Step-by-step explanation:
First, you lay it down like this:
Since you're selling 35 pounds of oolong tea that sells for $2.40, you multiply both
2.4*35
=84
However, since you don't know how many pounds of black tea, you use x
Multiply like above
1.8*x
=1.8x
The total mixture is selling for $2.10
Total pounds: 35 + x (given above, or black + oolong tea
equation:
84 + 1.8x = 2.1(35+x)
84 + 1.8x = 73.5 + 2.1x (distributive property)
- 1.8x - 1.8x
84 + 0 = 73.5 + 0.3x
-73.5 -73.5
10.5 = 0.3x
3.5 = 0.1x
35 = x
8. Phil received a commission of 5% on
the sale of a house. If the amount of
his commission was $4780, what was
the selling price of the house?
What’s the answer
Answer:
$95,600
Step-by-step explanation:
the question can be rephrased as '4780 is five percent of what number'?
we can use the ratio of 'is/over' = %/100 to solve
'is' = 4780
'of' = selling price of house ('p')
4780/p = 5/100
now cross-multiply:
5p = 478000
p = 95600
2.87x7.8
need answer
At the beginning of spring, Eva planted a small sunflower in her backyard. When it was first planted, the sunflower was 5 inches tall. The sunflower then began to grow at a rate of 2.5 inches per week. How tall would the sunflower be after 4 weeks? How tall would the sunflower be after ww weeks? Write an expression
Answer:
It would be 9.6 inches after 4 weeks.
The expression you would use is 5 + 2.5 × ww = ?
Step-by-step explanation:
At the beginning of spring, Eva planted a small sunflower in her backyard. When it was first planted, the sunflower was 5 inches tall. The sunflower then began to grow at a rate of 2.5 inches per week. How tall would the sunflower be after 4 weeks? How tall would the sunflower be after ww weeks? Write an expression.
So the sunflower was 5 inches tall to start off.
First you need to do 2.5 times 4.
Which is 9.6 inches after 4 weeks.
The expression you would use is.
5 + 2.5 × ww = ?
The height y, in feet, of a football x seconds after it is thrown is modeled by the equation y = â€"16x2 24x 1. What information does the zero of the equation 6 = â€"16x2 24x 1 represent? the height of the ball after 6 seconds when the ball is 6 ft above the ground the initial upward velocity of the ball the horizontal distance traveled by the ball when it is 6 ft above the ground.
The zero of the equation [tex]6 =- 16x^2+24x+1[/tex] represents the moment when the ball is 6 ft above the ground.
Given that,
The height y, in feet, of a football x seconds, after it is thrown is modeled by the equation,
[tex]\rm y=- 16x^2+24x+1[/tex]
We have to determine,
What information does the zero of the equation [tex]6 =- 16x^2+24x+1[/tex]represent?
According to the question,
In the quadratic equation for the ball's height, it is found that the zero of the equation represents,
[tex]\rm 6 =- 16x^2+24x+1[/tex]
The instant of the time x is when the ball is 6 ft above the ground.
The height of the ball is y(x), after x seconds, is modeled by:
[tex]\rm y =- 16x^2+24x+1[/tex]
The equation given is,
[tex]\rm y =- 16x^2+24x+1[/tex]
In which the height is 6 feet above the ground, and the zeroes are the instants of time when the ball is 6 ft above the ground.
Hence, These points represent the moment when the ball is 6 ft above the ground.
For more details refer to the link given below.
https://brainly.com/question/12837829?referrer=searchResults
HELP FAST LAST QUESTION ON TEST!!! The front lawn of NPHS has a roped off area of 2x? - 11x + 15. What are the
possible dimensions of the roped off area?
Answer:the area is = the length*the width
2x^2-11x+15= (2x-5)* the width
you have to divide 2x^2 - 11 x + 15 at 2x-5
2x^2-11x+15 | 2x-5
-2x*2+5x x-3
-------------
/ -6x+15
+6x-15
-----------------
/ /
the answer is X-3
Step-by-step explanation:
a=5 and b=-5 , 2ab-a^(2)
Answer:
Step-by-step explanation:
2(5)(-5)-(5)^2
=−75
What is the Point slope for -4,3 and 4,3? Help plz
Answer:
y-3=0(x+4)
Step-by-step explanation:
[tex]\text{Given that,}\\\\(x_1,y_1) =(-4,3) ~\text{and}~ (x_2,y_2)= (4,3)\\\\\text{Slope, m =} \dfrac{y_2-y_1}{x_2 -x_1} = \dfrac{3-3}{4+4} = \dfrac 08 = 0\\\\\\\text{Point - slope form,}\\\\y - y_1 = m(x-x_1)\\\\\implies y -3 = 0(x +4)[/tex]
Which equation represents a line that is perpendicular to y = 3x - ?
Answer: y=-1/3x+4
Step-by-step explanation:
When a line is perpendicular to another, their slopes will be opposite reciprocals. For example, 1 would be -1, -3 would be [tex]\frac{1}{3}[/tex], and [tex]\frac{5}{1}[/tex] would be -5. The equation is written in slope-intercept form:
y=mx+b
y=3x-4
m is the slope, so next find the equation with the opposite reciprocal of 3, [tex]-\frac{1}{3}[/tex]:
Therefore, y=-1/3x+4 is the correct answer.
pls help what is the answer
when amy us doing he homework, she writes the divisor 76 as 67 by accident, and the result is a quotient of 15 and a reminder of 5. what is the correct quotient?
Answer:
13 r 22
Step-by-step explanation:
The dividend of Amy's division problem is d such that ...
d/67 = 15 +5/67
Multiplying by 67, we get ...
d = 15(67) +5 = 1010
When this is divided by 76, the result is ...
1010/76 = 13 22/76
The correct quotient is 13 remainder 22.
i need the answr for 3+x=10 please explain as well
Answer:
7
Step-by-step explanation:
basically just subtract 10-3=7 then to check 3+7=10
Answer:
x = 7
Step-by-step explanation:
3 + x = 10
-3 -3
x = 7
you subtract by 3 on both sides (because the opposite property of addition is subtraction) to cancel it out and isolate the x.
please help brainliest if correct and best explanation
Answer: 120
Step-by-step explanation:
first you distribute 5 to 11 and -17 to get (55 - 85) then you distribute 6 to 14 and -7 to now get (55-85) + (84-42) then you distribute -12 to 2 and 7 to now have (55-85) + (84-42) - ( -24 + -84) to get 120 you multiple when you distruibute for these cause its outside the parenthesis so you multiply the number by everything in the parenthesis
The Lawrence Art Museum offers individual memberships for $49.50. Once someone has
purchased an individual membership, he or she can go to the museum for just $5 per visit.
What is the cost of becoming a member and visiting the museum 12 times?
Answer:
109.50
Step-by-step explanation:
cost of membership + individual visit price
49.50+ 12*5 (cost of membership plus amount of visits * ticket price)
109.50
if f(x) = 3x - 1 and g(x) = x + 2, find (f-g)(x).
Answer:
f(x+2)=3x+5
Step-by-step explanation: hope this helps, love. have a good day
