You do 3832083082x 32u393829832983x to get this 5,418
Which of the following are roots of the polynomial function below?
Check all that apply.
F(x) = x3 - 3x2 + 2
Answer:
A
Step-by-step explanation:
The answer is A
The roots of the given quadratic equation are -
x = 2 and x = 1.
What is function?A function is a relation between a dependent and independent variable. We can write the examples of functions as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is a quadratic function f(x) defined as -
f(x) = x³ - 3x² + 2
The given quadratic function f(x) is -
f(x) = x³ - 3x² + 2
We can write the roots of the equation as -
x = {3 ± √(9 - 8)}/2
x = {3 + √(9 - 8)}/2 and {3 - √(9 - 8)}/2
x = (3 + 1)/2 and x = (3 - 1)/2
x = 2 and x = 1
Therefore, the roots of the given quadratic equation are -
x = 2 and x = 1.
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The sum of two numbers is 179.
Their difference is 133. Find both numbers.
Answer:
156,23
Step-by-step explanation:
let the numbers be x and y and x>y
x+y=179
x-y=133
add
2x=312
x=156
156+y=179
y=179-156=23
Answer:
156 and 23
Step-by-step explanation:
We can use system of equations to solve this problem.Step 1: Set up the system of equations.
[tex]\left \{ {{x+y=179} \atop {x-y=133}} \right.[/tex]Step 2: Solve x + y = 179 for x.
[tex]x + y = 179[/tex] [tex]x + y - y = 179 - y[/tex] (Subtract y from both sides)[tex]x = -y + 179[/tex]Step 3: Substitute -y + 179 for x in x - y = 133.
[tex]x-y=133[/tex] [tex]-y+179-y=133[/tex] [tex](-y-y)+(179)=133[/tex] (Combine like terms)[tex]-2y + 179 = 133[/tex] [tex]-2y + 179 - 179 = 133 - 179[/tex] (Subtract 179 from both sides)[tex]-2y = -46[/tex] [tex]\frac{-2y}{-2} = \frac{-46}{-2}[/tex] (Divide both sides by -2)[tex]y = 23[/tex]Step 4: Substitute 23 for y in x = -y + 179
[tex]x = -23 + 179[/tex] [tex]x = 156[/tex]Therefore, the numbers are 156 and 23.
willie's school is selling tickets to the annual talent show. On the first day of ticket sales the school sold 10 adult tickets and 4 student tickets for a total of $194. The school took in $182 on the second day selling 7 adult tickets and 7 student tickets. What is the price each one adult ticket and one student ticket?
Adult tickets - $15
Student tickets - $11
First day:
10 tickets * $15 = $150
4 tickets * $11 = $44
Total: $194
Second day:
7 tickets * $15 = $105
7 tickets * $11 = $77
Total: $182
Plz plz help fast
I will mark Brainlyist
Answer:
forgive me i need points
Step-by-step explanation:
How do you compare exponential functions??
I really don't understand, also giving brainliest!!
Answer:
You compare it by this
Step-by-step explanation:
Linear functions are graphed as straight lines while exponential functions are curved. Linear functions are typically in the form y = mx + b, which is used to discover the slope, or simply the change in y divided by the change in x, while exponential functions are typically in the form y = (1 + r) x.
what's rational numbers
May I please receive help?
Please???
Answer:
m1 is 25 and m2 is 50
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
x+2x=75
PLEASE HELP ME I DONT GET THIS..
Hopes this help
3/4 of a number 120 What is three-eights of the number? please answer no point scamming i will give you brainiest
Answer:
60Step-by-step explanation:
Let the number is x.
3/4 of a number is 120:
3/4x = 120x = 120*4/3 = 160What is three-eights of the number:
160*3/8 = 60Look at the arithmetic pattern shown here.
Select the Hint button to view a hint.
Using the variable n for the term, describe the sequence.
Answer:
[tex]a_{n}[/tex] = 10n
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 10 and d = a₂ - a₁ = 20 - 10 = 10 , then
[tex]a_{n}[/tex] = 10 + 10(n - 1) = 10 + 10n - 10 = 10n
The sequence can be seen to be an arithmetic sequence and the common difference of the sequence is 10.
What is an arithmetic sequence?Arithmetic sequences are an essential concept in mathematics and have applications in various fields, including algebra, physics, computer science, and finance. They are widely used to model patterns and relationships in real-world situations.
Looking at the sequence we can see that the common difference d can be obtained as;
d = S2 - S1
= 20 - 10
= 10
d = S3 - S2
= 30 - 20
= 10
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If x =- 5, which expression is equivalent to - 40k – x)?
A. – 4(k – 5)
B. – 40k + 5)
C. – 4(- 5k)
D. – 40k + (-5))
Answer:
B
Step-by-step explanation:
x = -5
Put in -5 for x, and expand:
-40(k-x) = -40(k+5)
B. -40(k+5)
How many wholes are there in 7/3
Answer: there are 2 whole in 7/3
Step-by-step explanation: 7 divided by 3 is 2r1. 7/3 = 2 1/3
What is the product?
(45+2)(582 +10s+3)
0 2052 + 205+6
O 2083 +40s2+12s
0 2033 + 1082 +325+ 6
0 2053 +5082 +325+6
+
Step-by-step explanation:
(4s + 2) × (5s² + 10s +3)
we know immediately the first and the last term of the result, because there is only one operation to build them :
20s³ and 6.
so, the first answer option is already eliminated.
let's multiply
4s×5s² + 4s×10s + 4×3s + 10s² + 20s + 6
20s³ + 40s² + 12s + 10s² + 20s + 6
20s³ + 50s² + 32s + 6
so, the last answer option is correct.
Marc solves the equation Latex: (\sqrt[4]{x})^3=5\textsf{.} His work is shown below. Step 1: Latex: (\sqrt[4]{x})^3=5 ( √ [ 4 ] x ) 3 = 5 Step 2: Latex: x^{\frac{3}{4} }=5 x 3 4 = 5 Step 3: Latex: x^{\frac{3}{4} \cdot \frac{4}{3} }=5^{\frac{4}{3} } x 3 4 ⋅ 4 3 = 5 4 3 Step 4: Latex: x=\sqrt[3]{5 \cdot 5 \cdot 5 \cdot 5} x = √ [ 3 ] 5 ⋅ 5 ⋅ 5 ⋅ 5 Step 5: Latex: x=5\sqrt[3]{\not{5} \cdot \not{5} \cdot\not {5} \cdot 5} x = 5 √ [ 3 ] ¬ 5 ⋅ ¬ 5 ⋅ ¬ 5 ⋅ 5 Step 6: Latex: x=5\sqrt[3]{5} x = 5 √ [ 3 ] 5 Explain what Marc did in steps 4 and 5. Why did he do this? Create your own radical equation and explain how to solve it. Is there an extraneous solution to your equation?
Based on the calculation, we can say that there is an extraneous solution to the equation
Given the equation solved by Marc expressed as:
[tex](\sqrt[4]{x})^3=5[/tex]
We are to check if the indices equation has an extraneous equation.
According to the law of indices [tex](\sqrt[n]{m} )^a=m^{\frac{a}{n} }[/tex], the expression becomes:
[tex](\sqrt[4]{x})^3=5\\x^\frac{3}{4}=5\\[/tex]
Raise both sides to the power of 4/3 as shown:
[tex](x^\frac{3}{4} )^\frac{4}{3} = 5^\frac{4}{3}\\x^1 = 5^\frac{4}{3}\\x = 5^\frac{4}{3}\\[/tex]
This shows that there is an extraneous solution to the equation
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write 4270000 in scientific notation
8.90 x 3.12 will give brainlist
27.768
Multiply 890 and 312
This equals 277680
We know that there were 4 numbers behind a decimal point
Therefore the last four numbers of 277680 need to be behind a decimal point as well
So you're answer is 27.7680 or 27.768
Mathematics *extra characters
Answer:
31/2
Step-by-step explanation:
yes
A gold coin has a mass of 45.6 grams and a volume of 2.28 cubic centimeters. Calculate its density. Write your answer to the tenths place.
Answer:
Density (ρ) = 20000 kilogram/cubic meter
Step-by-step explanation:
Please solve the math problem for me... I will mark you brainliest
Answer:
The midpoint is (4,4)
Step-by-step explanation:
AB is a vertical line. This means the x value must be 4. The y value is halfway between 0 and 8, which is 4. Therefore, the midpoint is (4,4).
Answer:
The midpoint is (4,4)
Step-by-step explanation:
Use the midpoint formula to find the midpoint of the line segment.
Below is a picture of how it is graphed.
What is the definition of a rational function?
Answer:
any function which can be written as the ratio of two polynomial functions.
have a nice day <3
I NEED HELP WITH THE PROBLEM
Answer:
x = 10 m∠3 = 74
Step-by-step explanation:
(10x + 6) + (7x + 4) = 180 degrees
17x + 10 = 180
17x = 170
x = 10
check answer
(10(10) + 6) + (7(10) + 4) = 180
106 + 74 = 180
180 = 180
true!
angle 5 is vertical angles with 3, so they are congruent
use same equation as 5
7(10) + 4
70 + 4
74 :)
Which graph represents the table only A or B
Definition: To solve a problem, we often______
the given information into algebraic expressions and
Example: The phrase "4 more than twice a number' becomes 2n + 4'.
To solve a problem, we often Translate the given information into algebraic expressions and equations.
Step-by-step explanation:
Consider the provided statement.
In order to solve a mathematical problem, we often translate the given information into algebraic expressions and equations.
For example: “6 less than twice a number"
We first need to translate it.
This can be translated as: 2n-6
Where n represents the number.
Hence, the complete statement is To solve a problem, we often Translate the given information into algebraic expressions and equations.
What is the circumference of this circle?
A.
3π
B.
(
3π
⁄
4
)
C.
4π
D.
(
3π
⁄
2
)
E.
None of the above
Answer:
the circumference of circle is 2 πr
describe system of linear equations using practical situation and mathematical expressions
pahelp pooo
Answer:
A system of linear equations is a collection of two or more linear equations, and a solution to a system of linear equations consists of values of each of the unknown variables in the system that satisfies all of its equations, or makes them true.
prove cos a = 5/13 pls solve it and no link pls..........
Answer : The demonstration is below :)
Step-by-step explanation :
We use Pythagoras' theorem :
In the triangle ABC we have :AB² = AC² - BC² = 15² - 9² = 144 = 12²
In the triangle ABD we have :DB² = AD² - AB² = 13² - 12² = 5²
cos(a) = BD/AD = 5/13
how many fifths are in 2? PLEASE HELP
Answer:
10/5 ten fifths are in two
Step-by-step explanation:
10/5 = 2
how to write 175% as a decimal
hhhhhhhhhhhheeeeeeeeeelllllpppppppppp me
Answer:
m<b=107º
Step-by-step explanation:
180-41-32=107
D and B are congruent
Using the slope formula, find the slope of the line through the given points.
(1,6) and (3,4)
