Answer:f
( x ) = x , g ( x ) = x 3 − 1 f ( x ) = x 4 + x 3 − 11 x 2 − 5 x + 30 , g ( x ) = 2 x − 2 f ( x ) = x 2 , g ( x ) = 7 x − 1
in short ways the answer is 7 x − 1
Hence , the sum is [tex]11x^2-8x-14[/tex].
WHAT IS A POLYNOMIALIn mathematics, a polynomial is an expression consisting of indeterminates (also called variables) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
How to Solve?Given , we need to add [tex]2x^2-8x-6[/tex] and [tex]9x^2-8[/tex].
So, we can write it as :
[tex]2x^2 -8x-6+9x^2-8[/tex]
Writing like terms together:
[tex]= 2x^2+9x^2-8x-6-8[/tex]
[tex]=11x^2-8x-14[/tex]
Hence , the answer is [tex]11x^2-8x-14[/tex].
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Determine whether the rational root theorem provides a complete list of all roots for the following
polynomial functions.
f(x) = 4x^2 - 25
g(x) = 4x^2 + 25
h(x) = 3x^2 - 25
Answer:
1) Yes
2) No, this polynomial has complex roots
3) No, this polynomial has irrational roots
Step-by-step explanation:
a. Rational roots theorem provide a complete list of all roots of
f (x) = 4x² - 25
b. Rational roots theorem does not provide a complete list of all roots of
g (x) = 4x² + 25
c. Rational roots theorem does not provide a complete list of all roots of
h (x) = 3x² - 25
What is Function?
A relation between a set of inputs having one output each is called a function.
Functions are given as;
f (x) = 4x² - 25
g (x) = 4x² + 25
h (x) = 3x² - 25
Now,
a. f (x) = 4x² - 25
To find the roots we can set up 0,
f (x) = 4x² - 25 = 0
4x² - 25 = 0
4x² = 25
Divide by 4,
x² = 25/4
Take square root both side,
x = √25/4
x = ±5/2
Thus, The function has rational roots.
So, Rational roots theorem provide a complete list of all roots.
b) g (x) = 4x² + 25
To find the roots we can set up 0,
4x² + 25 = 0
4x² = - 25
Divide by 4,
x² = - 25/4
Taking square root,
x = √-25/4
x = ±5i/2
Thus, The function has complex roots.
So, Rational roots theorem does not provide a complete list of all roots.
c) h (x) = 3x² - 25
To find the roots we can set up 0,
3x² - 25 = 0
3x² = 25
Divide by 3,
x² = 25/3
x² = 8.333
Take square root both sides,
x = √8.333
x = ±2.89
Thus, The function has irrational roots.
So, Rational roots theorem does not provide a complete list of all roots.
Therefore,
a. Rational roots theorem provide a complete list of all roots of
f (x) = 4x² - 25
b. Rational roots theorem does not provide a complete list of all roots of
g (x) = 4x² + 25
c. Rational roots theorem does not provide a complete list of all roots of
h (x) = 3x² - 25
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If AABC~ADEF, what is the scale factor of AABC to ADEF?
Given:
[tex]\Delta ABC\sim \Delta D E F[/tex]
[tex]AB=18,BC=21,AC=24,EF=7[/tex]
To find:
The scale factor of [tex]\Delta ABC[/tex] to [tex]\Delta D EF[/tex].
Solution:
We have,
[tex]\Delta ABC\sim \Delta D EF[/tex]
So, side BC is the corresponding side of EF.
Now, scale factor of [tex]\Delta ABC[/tex] to [tex]\Delta D EF[/tex] is
[tex]\text{Scale factor}=\dfrac{\text{ Side of }\Delta D EF}{\text{Corresponding side of }\Delta ABC}[/tex]
[tex]\text{Scale factor}=\dfrac{EF}{BC}[/tex]
[tex]\text{Scale factor}=\dfrac{7}{21}[/tex]
[tex]\text{Scale factor}=\dfrac{1}{3}[/tex]
Therefore, the scale factor of [tex]\Delta ABC[/tex] to [tex]\Delta D EF[/tex] is [tex]\dfrac{1}{3}[/tex].
Graph and find the area of the figure with the vertices (-3, 0), (1,4), (2, 0)
Answer:
10
Step-by-step explanation:
What is the value of x?
Here another oneeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
DAMMMMM U KNOW ME TOO WELLL
Step-by-step explanation:
Answer:
the anime is fire force
Step-by-step explanation:
In Year 198 of the Solar Era in Tokyo, Special Fire Force's are fighting against a phenomenon called Spontaneous Human Combustion where humans beings are turned into living infernos called “Infernals.” While the Infernals are First Generation cases of spontaneous human combustion
14k²+49k+21 factorise
Answer:
(2k+1)(k+3)
Step-by-step explanation:
14k²+49k+21
simplify by dividing the whole equation by 7
2k²+7k+3
factorise
(2k+1)(k+3)
PLS HELP Write an equation for an ellipse centered at the origin which has foci at (0,-+15) and a vertices at (0,-+25)
Answer:
c
Step-by-step explanation:
Stefan sells Jin a bicycle for $176 and a helmet for $16. The total cost for Jin is 160% of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend originally? How much money did he make by selling the bicycle and helmet to Jin?
Answer:
Stefan originally paid $120 for the bicycle and helmet.
He made $72 by selling them to Jin.
Step-by-step explanation:
Given that:
Selling price of bicycle = $176
Selling price of helmet = $16
Total price = 176+16 = $192
This is 160% of what Stefan paid originally.
Let,
x be the original amount paid by Stefan.
160% of x = 192
[tex]\frac{160}{100}x=192\\1.6x=192[/tex]
Dividing both sides by 1.6
[tex]\frac{1.6x}{1.6}=\frac{192}{1.6}\\x=120[/tex]
Original amount paid by Stefan = $120
Profit = 192 - 120 = $72
Hence
Stefan originally paid $120 for the bicycle and helmet.
He made $72 by selling them to Jin.
Rachel wants to use the Distributive Property to rewrite 72 + 45. Which expression could she use?
Answer:
1.17 x 10^2
Step-by-step explanation:
Im pretty sure its right
2 people work together take 5 hours to lay floors. How many hours does it take for 6 people to lay floors
Answer:
It takes ( hours for 6 people to lay floors
Step-by-step explanation:
2=5 divide it and for one person it would take 1 1/2 so then times 1 1/2 by 6.
Which Fraction(s) is equivalent to 3/12
3/10 1/4 1/2 2/5 4th grade IXL
Answer:
3/12= 4/16
1/4= 2/8
1/2= 3/6
2/5= 4/10
there are other possible answers but these are just ones i know
Help me out with this (geometry)
Answer:
a .30 degrees
plz mark as brainliest
A 7 footlong board is propped against wall of a house. The board forms a 60 degree angle with ground. How far is the bar of board from the wall
Answer:
3.5 foot
Step-by-step explanation:
To find the distance from the wall, you will need to use cosine:
cos 60 = x / 7
x = 3.5 foot
Mary drove from her home to the library. After she left the library, she drove to the park. After that, she drove home. The map shows the path she took.
What is the distance between (4, 3) and (9, 15) on the coordinate plane? Select two that apply.
How far did Mary drive?
a 10 miles
b 14 miles
c 24 miles
d 28 miles
Answer:
c
Step-by-step explanation:
I I don't even know why it seems I just chose that because
The distance between (4, 3) and (9, 15) on the coordinate plane is 13 units.
What is the distance between two points?The distance between two points is defined as the length of the line segment between two places representing their distance. Most significantly, segments that have the same length are referred to as congruent segments and the distance between two places is always positive.
The formula of distance between two points is P(x₁, y₁) and Q(x₂, y₂) is given by: d (P, Q) = √ (x₂ – x₁)² + (y₂ – y₁)².
We have to determine the distance between (4, 3) and (9, 15) on the coordinate plane.
As per the question, the required distance would be as:
distance = √ (9 – 4)² + (15 – 3)²
distance = √ (5)² + (12)²
distance = √ (25 + 144)
distance = √ 169
distance = 13 units
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what is 14x three over seven
Answer:
6
Step-by-step explanation:
Write the fraction 12/28 in simplest form
Answer:
3/4
Step-by-step explanation:
divide each by 2
28/2 = 14
12/2 = 6
14/2 = 7
6/2 = 3
therefore 3/7
ian invested $100 in an account paying an interest rate of 9 1/4% compound daily. Addison invested $100 in an account paying an interest rate of 9 3/8% compounded monthly. After 13 years, how much money would addison have in her account than Ian, to the nearest dollar?
Answer:
$5.67, or $6 rounded to the nearest dollar.
Step-by-step explanation:
To determine the amount that both Ian and Addison will have in their respective accounts after 13 years, knowing that they both invested $ 100 in accounts with daily compound interest, but Ian did it in one with an interest of 9.25% while Addison did it in one with a interest of 9.375%, the following calculations must be made:
Ian = 100 x (1 + 0.00925 / 365) ^ 13x365
Ian = 332.79
Addison = 100 x (1 + 0.009375 / 365) ^ 13x365
Addison = 338.46
338.46 - 332.79 = 5.67
Therefore, Addison will have $ 5.67 more than Ian after the investment term.
Can y’all help me? I think it’s the last one but I’m not sure
The market is located at point (−3, −2) on the coordinate graph.
The barber shop is 6 units to the right and 5 units up from the market.
Graph two points on the coordinate grid to show the location of the market and the location of the barber shop.
Answer:
(2,4)
Step-by-step explanation:
How do I solve this
Answer:
Step-by-step explanation:
I'm sorry forgot how to exactly solve it
can u pls help me with this question asap
Find the slope of the line through each pair of point
11. (-4, -3) and (7, 1)
12. (-2, -1) and (8, -3)
Answer:
11) 4/11
12) -0.2
Step-by-step explanation:
In ΔVWX, v = 98 inches, w = 95 inches and x=26 inches. Find the measure of ∠X to the nearest 10th of a degree.
Answer:
15.4
Step-by-step explanation:
cos A = b^2 + c^2 - a^2 / 2bc
cos X = 98^2 + 95^2 - 26^2 / 2(98) (95)
cos X = 17953 / 18620
cos X = 0.964
X = cos^-1 (0.964) = 15.38 = 15.4
Two bookstores are having a sale on comic books. Main Street Books has a deal of 10 for $5.20 and Books Galore has a deal of 6 for $3.60. Which store is offering the lowest unit price?
Answer:
Books Galore has the lowest unit price
Step-by-step explanation:
if you divide main streets books, 10 ÷ $5.20 = $1.92
Books galore : 6 ÷ $3.60 = $ 1.66
Brenda purchased a new watch in 2012. The value of her watch, t years after she bought
it, can be modeled by the function A(t) = 117(0.93)
Drag and drop the correct number or phrase to left of each sentence to make the
sentence true for the function
Answer:
The rate of change in the value of the watch is modeled by 0.93.
The rate of change represents a decrease in value.
The rate represents a 7% change per year.
Step-by-step explanation:
The rate of change in the value of the watch is modeled by 0.93.
The rate of change represents a decrease in value.
The rate represents a 7% change per year.
The following information should be considered:
Since the function A(t) = 117(0.93)So it means that the rate of change should be modeled by 0.93.There is the reduction in the value. Also it is 7% change per year.learn more: https://brainly.com/question/834969?referrer=searchResults
Convert the decimal below to a fraction in simplest form.
0.386
And show work
Answer:193/500
Step-by-step explanation:
In a box there are 9 action, 12 Disney, 8 horror, 11 mystery and 4 SciFi movies. What is the probability of selecting horror or mystery movie?
Round your answer to the nearest thousandth. For example: 0.500 or 0.999
Answer:
The answer to the question provided is 0.432.
A shirt costs $5 less than a sweater. Together they cost
$25. How much does the sweater cost?
Answer:
Shirt: $7.5
Sweater: $17.5
Step-by-step explanation:
25/2=12.5
Shirt is 5 less than Sweater
12.5-5=7.5
Add 5 to sweater cost
12.5+5=17.5
Shirt=7.5 Sweater=17.5
17.5+7.5=25
Write an equation in slope intercept form of the line that passes through the given points (-3, 3) and (1,2) HELP
Answer:
The answer is [tex]y = - \frac{1}{4} x + \frac{9}{4} [/tex]
Step-by-step explanation:
❃Incase you forgot what the slope-intercept formula is ☟
[tex]y = mx + b[/tex]
❃Incase you also forgot, what the slope formula is ☟
[tex]m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
☆ First: We are going to be solving for the slope.
[tex]m = \frac{2- 3}{1 - ( - 3)} = \frac{ - 1}{4} = - \frac{1}{4} [/tex]
☆Second: We are going to find the y-intercept.
[tex]y = mx + b \\ 3 = - \frac{1}{4} ( - 3) + b \\ 3 = \frac{3}{4} + b \\ \frac{ - \frac{3}{4} = - \frac{3}{4} \: \: \: \: \: \: \: \: \: \: \: }{ \frac{ 9}{4} = b \: \: \: \: \: \: \: \: } [/tex]
☆Third: Plug in.
[tex]y = - \frac{1}{4} x + \frac{9}{4} [/tex]
The figure below shows a triangle with one of its angle bisected. Find x.