Given the function, where a, b, and c are positive numbers:
f(x) = (x - a)(x - b)2(x2 + c)
How many real roots does f(x) have, including multiple roots? |
How many imaginary roots does f(x) have?
Answer:
2 real roots and 1 imaginary roots
Step-by-step explanation:
f(x) = [tex](x-a)(x-b)^{2} (x^{2}+c)[/tex]
There are only 2 real roots and one imaginary roots.
Separate the equation into sections because the function is a multiplication with no outside sum or substraction:
Real Roots:
[tex](x-a)[/tex] = 0 when x = a
[tex](x-b)^{2}[/tex] = 0 when x = b
Imaginary roots:
[tex](x^{2}-c)[/tex] = 0 when x = [tex]\sqrt{-c}[/tex]
A company sets up a food booth and a game booth at the county fair.
The fee for the food booth is $100 plus $5 per day.
The fee for the game booth is $50 plus $7 per day.
Write an expression for how much both booths will cost for the same number of days.
Answer:
100+5x+50+7x
Step-by-step explanation:
The question is in the picture!
Answer:
don't see
Step-by-step explanation:
Which equation would help find the measure of ZM?
O x +52 + 78 = 180
O 52 + x = 180 + 78
O 180 + 52 = 78 + x
O 180 + x = 78 + 52
Answer:
[tex] \huge \boxed{ \boxed{ \sf x + 52 ^{o} + 7 {2}^{o} =18 {0}^{o} }}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:triangleequationPEMDASgiven:[tex]\angle V=52°[/tex][tex]\angle P=78°[/tex]to find:the equationtips and formulas:a triangle contains 180° let's solve:[tex]\text{since a triangle contains 180° the sum of the interior angles has to be 180°}[/tex]
[tex]\text{therefore the equation is}[/tex]
[tex] \mathfrak{x + {52}^{o} + {78}^{o} = 180 ^{0} }[/tex]
simplify -2.2f + 0.8f - 15 - 3 please help
It would be -1.4f-18. I hope this helps!!
Answer:
Simplify the expression.
− 1.4 f − 18
Step-by-step explanation:
The value of a fifth stock, stock E, changed by 2 1/2 times as much as Stock D. What is the change in value in Stock E?
Answer: — Cramer: Tesla is the first non-traditional tech stock that could move the market ... The electric car maker has a 1.69% weighting in the index, the fifth largest. ... (S&P Dow Jones uses float-adjusted market value rather than the outright number.) ... For every $11.11 Tesla moves, the S&P 500 changes 1 point, ...
pls Brainliest
Need help. Whixh of these are functions?
Answer: C and D are functions.
Step-by-step explanation:
How do you solve for an area of a circle?
Answer:
Identify the radius of a circle. The radius is the length from the center of a circle to the edge of the circle. You can measure this in any direction and the radius will be the same. The radius is also one half of the diameter of a circle. The diameter is the line segment that passes through the center and connects opposite sides of the circle.[1]
The radius will generally be provided to you. It can be difficult to measure to the exact center of a circle, unless the center is already marked for you on a circle drawn on paper.
For this example, assume that you are told that the radius of a given circle is 6 cm.
well the formula for the area of a circle is A =[tex]\pi r^2[/tex]
r is for the radius
which is half the size or number of the diameter
so ex. lets say that the diameter of a circle is 10, so that makes the radius 5
A = [tex]\pi[/tex] [tex]5^2[/tex]
A = [tex]\pi * 25[/tex]
A = 78.54
Ta -Da!!
Note: sometimes is the test ask you to replace [tex]\pi[/tex] for 3.14, it would still work
Jacob wants to get a video gamecrental account. The rental store charges 10 per month charges no matter how many video games were rented...set up a table
Answer:
add
Step-by-step explanation:
Solve the equation: 2/3x+1/4=3
Answer:
x = 33/8
Step-by-step explanation:
2/3 x + 1/4 = 3
Subtract 1/4 from both sides.
2/3 x = 3 - 1/4
2/3 x = 12/4 - 1/4
2/3 x = 11/4
Multiply both sides by 3/2.
3/2 * 2/3 x = 3/2 * 11/4
x = 33/8
Jon is hitting baseballs. The height of the ball is given by h(t) = - 16t? + 5t + 5 where t is in
seconds. When will the baseball hit the ground?
Your equation is wrong. See below for correct equation.
The ball will hit the ground when h(t) is 0.
Here is the set up:
0 = -16t^2 + 5t + 5
Solve for t to find your answer.
I know this is easy but im stuck on two answers and im getting confused.. The first one that answer this correctly gets a BRANLIST
Work out the area of the parallelogram.
9m
7m
10m
The diagram is not drawn to scale.
m2
Answer:
9m×7m:10m-2m paràllelogram
Answer:
A = 70 m²
Step-by-step explanation:
The area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the perpendicular height )
Here b = 10 and h = 7 , then
A = 10 × 7 = 70 m²
Michael has read 1/2 of a book. Amelia has read 2/3 of the same book. Who has read more of the book?
Answer:
amelia
Step-by-step explanation:
Answer:
Step-by-step explanation:
To compare fractions, they need to have a common denominator.
The least common denominator of 1/2 and 2/3 is 6.
1/2 = 3/6
2/3 = 4/6
Now find the fraction with the larger numerator.
4/6 > 3/6, so 2/3 > 1/2
I need a A in math can you help me with this answer
Answer: 13
Step-by-step explanation:
12^2+5^2=13^2
how can distributive property be used to multiply? 8x(14)
Answer:
the answer is 112
Step-by-step explanation:
8×(14)
8×(10+4)
8×10+8×4
80+32
=112
Use vertex (h, k) and a table of values g(x) = 2 * (x - 2) ^ 2 + 5
Step-by-step explanation:
Since the equation is in vertex form: a(x - h)² + k, we immediately know that the vertex is at (2, 5).
x | y
0 | 13
1 | 7
2 | 5
3 | 7
4 | 13
Answer:
Step-by-step explanation:
Comparing the given g(x) = 2(x - 2) ^ 2 + 5 to h(x) = a(x - h)^2 + k, we see that h = 2, k = 5, a = 2. Thus, the vertex is at (2,5). Several sample points on this graph are:
x y = g(x) (x, y)
2 5 (2, 5)
0 2(0-2)^2)+ 5 (0, 13)
1 2(1-2)^2 + 5 (1, 7)
3 2(3-2)^2 + 5 (3, 7)
and so on. Plot these are several more points and then draw a smooth curve through them. The graph will be a parabola with vertex (2, 5) that opens up.
1
The grocery store was
clearing out inventory and
offering 25% off all items.
Write an expression to
show the price of all the
items after the discount
using (p) as the original
price.
7.EE.2
Answer:
discount price = 0.75p
Step-by-step explanation:
100%-25% = 75% or 0.75
please help it's due in a few minutes.
Answer:
I'm not 100% sure, but I'd say 3/1 since:
Step-by-step explanation:
6 goes into 18 three times, 5 goes into 15 three times, 8 goes into 24 three times.
choose all of the statements that correctly compare the two functions shown (brainliest)
Answer:
it's B,C and D
Step-by-step explanation:
I had the USA testprep
hope this helps :)
calculate x. (geometry)
im in need of help, its due in like 14 minutes
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Isosceles triangles.
Since, the sides are equal, we can equate them, so we get as,
==> 16x + 13 = 24x -19
=> 24x -16x = 13+19
=> 8x = 32
x = 4
hence ==> x = 4.
Fractions that are not equivalent to 1/5
Answer: 3/10
Step-by-step explanation:
1/5 isn’t equivalent to it
Answer:
Just random ones?
1/2, 1/3, 1/4, 1/6, 1/7
Step-by-step explanation:
Solve the equation x2 - 6x + 5 = 0 by graphing the related function.
Answer:
The solutions are 1 and 5.
Step-by-step explanation:
x2 − 6x + 5 = 0
Step 1: Write the related function.
x2 − 6x + 5 = 0
y = x2 − 6x + 5
Step 2: Graph the function.
Use a graphing calculator.
Step 3: Find the zeros.
The zeros are 1 and 5.
Answer:
5, 1
Step-by-step explanation:
-9.300÷30 ayuda por favor
Answer:
-9.300÷30
= -310
.................. ;)
Justin's car can travel 77.5 miles using 3.1 gallons of gas.
At this rate, how far, in miles, can Justin travel using 8.2 gallons of gas?
Answer:
193.75
Step-by-step explanation:
A biologist estimates that the human body contains 90 pounds of water for every 100 pounds of body weight. At the rate estimate the number of pounds of water in a child who weighs 80 pounds
Answer:
72 lb
Step-by-step explanation:
Write and solve an equation of ratios:
80 pounds x
----------------- = ------------------
100 pounds 90 pounds
Cross multiplying, we get (100 pounds)x = 7200, or x = 72 pounds.
The 80 pound child's weight includes 72 pounds of water.
calvin has a fever with 38.5 degrees celsius, after taking medicine it drops by 2 degrees celsius. write the temperature of calvin after taking medicine
Answer:
36.5 degrees Celsius
Step-by-step explanation:
38.5-2=36.5 degrees Celsius
What does inversely proportional mean
Answer:
dkdkkdjdkdkdkkskzksskisks
if x + 1/x = 5, find the value of x^3 + 1/x^3
Answer:
x=5/3 your answer right answer
Answer:
110
Step-by-step explanation:
The expansion (a + b)³ is
(a + b)³ = a³ + b³ + 3ab(a + b)
Then
(x + [tex]\frac{1}{x}[/tex] )³ with a = x and b = [tex]\frac{1}{x}[/tex]
= x³ + [tex]\frac{1}{x^3}[/tex] + 3x . [tex]\frac{1}{x}[/tex] (x + [tex]\frac{1}{x}[/tex] )
Thus
x³ + [tex]\frac{1}{x^3}[/tex] = (x + [tex]\frac{1}{x}[/tex] )³ - 3(x + [tex]\frac{1}{x}[/tex] )
= 5³ - 3(5)
= 125 - 15
= 110
I don’t know if it worked now but thank you to the person that told me what to do, also 10x10 bc why not lol
Answer:
Nice kittie
Step-by-step explanation: