Answer:
A-5
Step-by-step explanation:
according to the fundamental theorem of algebra, how many roots exist for the polynomial function? (9x 7)(4x 1)(3x 4)
3 number of roots exist for the polynomial function.
Step-by-step explanation:
As we know that the polynomial can only have exact number of roots as high as the degree of that polynomial is.
We can also prove it. Assume there is a polynomial
(x+2)(x+3) =0
Here the degree of the polynomial is 2 and the number of possible solutions are also 2. As it is evident that x is either equal to -2 or -3.
From the given condition,
(9x + 7)(4x + 1)(3x + 4)
we know that the degree of the polynomial is 3 because after expansion it becomes,
108x^3 + 255 x^2 +169x + 28 =0
Since, highest power of the variable is 3. Its degree is 3.
Therefore, possible number of roots that exist for the polynomial function are 3.
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Heather buys a dog bowl priced at $8. If the sales tax is 10%, how much tax will Heather
pay?
Answer:
I think the answer is 2 dollars
Step-by-step explanation:
...............................................
Answer:
3p = 1/2
Step-by-step explanation:
Left side: 3pRight side: 1/2Because they're balanced, the right and left side are equaledSo, 3p = 1/2I hope this helps!
Lavasha and Keisha travel separately to their grandmother’s house, 114 miles away. Keisha leaves from the same place 30 minutes after Lavasha. If Lavasha is travelling at 40 mph and Keisha travels at 55 mph, how many minutes will it take Keisha to catch up to Lavasha?
Angle 4 = 104 degrees Angle 6 = (2x - 4) degrees Solve for x.
Answer: x = 40
Step-by-step explanation:
104 + 2x -4 = 180
104 - 4 + 2x = 180
100 + 2x = 180
2x = 180 -100
2x = 80
x = 80/2
x = 40
how do i express this as a trinomial
(2x+5)(3x+7)
Answer:
6x^2 + 29x + 35
Step-by-step explanation:
(2x+5)(3x+7)
multiply 2x with 3x and 7
multiply 5 with 3x and 7
simplify
6x^2 + 14x + 15x + 35
= 6x^2 + 29x + 35
Given the definitions of f(x) and g(x) below, find the value of g(ƒ (0)).
f(x) = 3x²+x-6
g(x) = -4x - 3
Value of g(ƒ (0)) =18 .
Definitions of f(x) and g(x) -
Composition of a function is done by substituting one function into another function. For example, f [g (x)] is the composite function of f (x) and g (x). The composite function f [g (x)] is read as “f of g of x”. The function g (x) is called an inner function and the function f (x) is called an outer function.
The composition (g ° f)(x) means "evaluate f at x, then evaluate g at the result f(x)". The product (g*f)(x) means "evaluate g and f at x and multiply the results".
An algebraic function is a function that involves only algebraic operations. These operations include addition, subtraction, multiplication, division, and exponentiation.
given
f(x) = 3x²+x-6
g(x) = -4x - 3
find the value of g(ƒ (0))
g(ƒ (0)) = ?
g( f(x) ) = 3 ( f(x) )² +( f(x) )−6
Now, replace every f(x) on the right side with the function you entered in for f(x) :
g(f(x)) = 3( f(x) )² +( f(x) )−6
⇓
g(f(x)) = 3( −4x−3 )² +( −4x−3 )−6
Simplify the expression.
g(f(x)) = 3(−4x−3)² +(−4x−3)−6
= 3(−4x−3)² − 4x−9
So, g(f(x))=3(−4x−3)² −4x−9.
g(ƒ (0)) = 3(−4× 0 −3)² −4× 0−9
g(ƒ (0)) = 3(−3)² −9
g(ƒ (0)) = 3 × 9 −9
g(ƒ (0)) = 27 − 9
g(ƒ (0)) =18 .
Hence, by using the definitions of f(x) and g(x) the value of g(ƒ (0)) =18.
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5
The average rate of change of g(x) between x = 4 and x = 7 is Ē. Which statement must be true?
Answer:
c. 5/6 = [ g(7) − g(4) ] / (7 − 4)
Step-by-step explanation:
statistical studies are not concerned with understanding the sources of variability in data, only with describing the variability in the data
False.
Variability in statistics is the degree to which data in a set varies, or how much difference there is in a single set of data. The variability definition also refers to the consistency of the pattern in a set of data.
There are many measures of variability to help researchers determine how much variability is contained within a set of data. A simple measure of variability is the range, the difference between the highest and lowest scores in a set.
A concern when using a simple range measure is the existence of outliers, individual scores that are not grouped with the rest of the scores.
Current statistical studies are modern and have a wealth of analysis tools and software to understand the data. Statistics has a wide range of objectives, which aim not only to understand the variability of the data, but also its origin and motivation. For example, if an election poll shows a variation from a previous poll, statisticians will seek to understand the causes of these variability and not just present the variation in the data.
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A ball is thrown straight up from the top of a building that is 280 feet high with an initial velocity of 48 ft/s. The height of the object can be modeled by the equation s(t)=−16t2+48t+280.
In two or more complete sentences explain how to determine the time(s) the ball is higher than the building in interval notation. Then, determine the time.
Answer:
i hope it helpful
thank you
Answer:
Answer in interval notation is (3, 5.94].
Step-by-step explanation:
First find the time that the ball is level with the top of the building on its descent. You can do this by solving 280 = -16^2 + 48t + 280 for t. This gives t = 3 seconds .
Then when the ball reaches the ground the time t is obtained by solving 0 = -16t^2 + 48t + 280 This gives t = 5.94
seconds.
Answer in interval notation is (3, 5.94].
Find the coordinates of the reflection: B (8,-1) is reflected over the y-axis
Answer:
good for u
Step-by-step explanation:
how many 3 digit numbers can be formed using numerals in the set {3,2,7,9} if repetition is not allowed
The function Q(x)=2x^2-kx+18. For what value of k does Q(x) have one distinct real solution? (NEEDS TO BE DONE WITHIN 2 HOURS!)
Answer:
k = 12
Step-by-step explanation:
Given:
The equation [tex]Q(x)=2x^2-kx+18[/tex]
To find:
Value of [tex]k = ?[/tex] for which the given equation has one distinct real solution.
Solution:
The given equation is a quadratic equation.
There are always two solutions of a quadratic equation.
For the equation: [tex]ax^{2} +bx+c=0[/tex] to have one distinct solution:
[tex]b^2 - 4ac = 0[/tex]
Here,
a = 2,
b = -k and
c = 18
Putting the values, we get:
[tex](-k)^2 - 4\times 2\times 18 = 0\\\Rightarrow k^2 = 18\times 8\\\Rightarrow k^2 =144\\\Rightarrow k = 12[/tex]
The equation becomes:
[tex]Q(x)=2x^2-12x+18[/tex]
And the one root is:
[tex]2(x^2-6x+9 ) = 0\\\Rightarrow 2(x-3)^2=0\\\Rightarrow x = 3[/tex]
Evaluate square root of 121
Answer:
the square root of 121 is 11
How can you use the Quotient of Powers, Power of a Quotient, Identity Exponent and Zero Exponent Laws to evaluate numerical expressions with whole-number exponents?
While dealing with laws of exponents, exponents should be subtracted when splitting exponential formulas with the same base.
Use the Quotient of Powers Rule to reduce the number of terms when splitting like terms with exponents. According to this rule, to determine the solution while dividing terms with the same base, simply remove their exponents. The trick is to only take out exponents with matching bases.
Exponents are added when two powers of the same base are multiplied. Therefore, the exponents are subtracted when two powers of the same base are divided. To put it another way, abac=ab + c is true for all real numbers a, b, and c.
It is so established that any integer or phrase raised to the power of zero always equals 1. To put it another way, the outcome is 1 if the exponent is 0. A 0 = 1 and (a/b) 0 = 1 create the general version of the zero exponent rule.
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What is the GCF of:
15x^2y and 20xy
Answer:
5xy
Step-by-step explanation:
x and y can only go into both into once
The temperature falls from -7°C to -20°C. What is the change in these temperatures?
Answer:
13 degrees Celsius
Step-by-step explanation:
To solve this question, you need to subract -20 from - 7.-7-(-20) is 13.
A charity organization had to sell a few tickets to their fundraiser just to cover necessary production costs. After selling 101010 tickets, they were still at a net loss of \$800$800dollar sign, 800 (due to the production costs). They sold each ticket for \$70$70dollar sign, 70. Let yyy represent the net profit (in dollars) when they have sold xxx tickets.
Answer:
Price of each ticket = $70
The revenue generated from sales of 10 tickets = 70 x 10 = $700
After selling the 10 tickets, organization was still at loss of $800. This means total product cost of tickets = $800 + $700 = $ 1500
Net Profit = Revenue - Cost
Revenue from n tickets will be = 70n
Cost = $1500
So, net profit as a function of number of tickets sold = P(n) = 70n - 1500
Step-by-step explanation:
question 3
The number of termites in a colony starts out with 125 insects and increases by 75% each week. Which graph best models the situation?
the first three photos are to this question
Answer:
See attached image.
Step-by-step explanation:
Since the number of termites in a colony starts out with 125 insects and increases by 75% each week we are looking for a graph where the line crosses the y-axis (vertical axis) at 125 and continues to increases by 75%.
From the screenshots given only one graph has a line that intersects at 125 on the y axis and continues upward (see attached image). The other graphs depict a beginning number of termites of 875, 0, and 250.
2 1/2 times 5 please answer!!
Answer:
12.5
Step-by-step explanation:
2 1/2 is the same as 5/2
(2*2 = 4 +1 = 5, so the mixed number 2 1/2 turns into 5/2)
so 5/2 * 5 = 5/2 * 5/1 = 25/2 = 12.5
Somebody please help! Due today! Whoever does best get's brainliest and 5/5 stars
Answer:
x=30
5x/6=25
5x=25x6
5x=150
x=150/5
x=30
Use the number line below, where RS=5y+5, ST=2y+5, and RT=52. a. What is the value of y? b. Find RS and ST.
Answer:
y = 6, RS = 35 and ST = 17
Step-by-step explanation:
Given that,
RS = 5y+5
ST = 2y+5
RT = 52
If we consider a number line,
RT = RS + ST
52 = 5y+5 + 2y+5
52 = 7y + 10
7y = 52-10
7y = 42
y = 6
RS = 5y+5
= 5(6)+5
= 35
ST = 2y+5
= 2(6) +5
= 17
Hence, this is the required solution.
An angle's measure is 43 less than 6 times the measure of its
complement. Find the measure of both angles,
Step-by-step explanation:
A = 6(90-A)-43 Simplify and solve for A.
A = 540-6A-43
A = 497-6A Add 6A to both sides.
7A = 497 Divide both sides by 7.
A = 71 degrees
The complement of A = 90-A = 09-71 = 19
Hope this help :)
A study concluded that among people with a certain virus, 99.2% of tests conducted were (correctly) positive, while for people without the virus, 97.9% of the tests were (correctly) negative. If 32% of patients actually carry the virus, what's the probability that a patient testing negative is truly free of the virus?
Answer:
Following are the solution to the question:
Step-by-step explanation:
The probability of virus P(V) =0.32
No virus P(NV) =0.66
Patient testing of negative P(TN) = virus, and negative testing+no virus and negative testing
[tex]=0.32(1-0.992)+0.66 \times 0.979 \\\\=0.00256+0.64614\\\\=0.6487[/tex]
This is why the likelihood of a patient being free of the virus is negative.
[tex]= \frac{P(NV) \times\ tested \ negative }{P(TN)}[/tex]
[tex]= \frac{0.66 \times 0.979}{0.6487}\\\\= \frac{0.64614}{0.6487} \\\\=0.996053646[/tex]
13) The value of x for which 3(x-1) = 4(x-5) is
Answer:
The value of x=17.
Step-by-step explanation:
3(x-1) = 4(x-5)
=3x-3=4x-20
Subtract both sides by 4x.
=3x-3-4x=4x-20-4x
= −x−3=−20
Add 3 to both sides.
=−x−3+3=−20+3
−x=−17
Divide both sides by -1.
−x/-1=−17/-1
x=17
This is the 3rd time I'm posting this with no response. The last time someone commented something completely unrelated to the topic so please no one do that again but I really need help with this. I'd really appreciate it. Thanks!
Answer:
20 pts
Step-by-step explanation:
if a bag has 22 orange, 18 red, 12 green and 8 blue marbles what is the probability, that I draw blue marble, keep it, then draw another blue marble?
Answer:
14/885 or 1.58%
Step-by-step explanation:
In total, there are 60 marbles. The probability of drawing a blue marble the first time is 8/60. If you keep the one blue marble that was drawn, the total number of marbles in the bag is 59, and there are now 7 blue marbles. The probability of drawing a blue marble now is 7/59.
In order to find out the total probability of drawing two blue marbles in a row, you need to multiply these two fractions.
(8/60) x (7/59) = 56/3540 = 14/885 (approx. 1.58%)
Hope this helps!
Answer:
13.33333%
Step-by-step explanation:
the product of a number and -7 is 63."
Answer:
the number is -9
Step-by-step explanation:
Liz wants to buy a shirt for $25.what will the total cost after tax be if Liz buys the shirt in Springfield
Answer:
ya
Step-by-step explanation:
This is the last question number 10 please help me and have a good night and be safe out there and please wear a MASK!!!❤️
Answer:
First choice, 75%
Step-by-step explanation:
Add all the numbers together:
15 + 8 + 10 + 12 + 15 = 60
So the probability that you'll get a lose a turn card is 15/60 which simplified is 1/4, 1/4 in decimal form is 0.25 which is 25%. % means out of 100 so to double check: 1/4 times 100 = 100/4 = 25%
There's a 25% chance that you will draw the lose a turn card so
100% - 25% = 75%
So there's a 75% probability you will not draw the lose a turn card