4n - 9
Step-by-step explanation:
use formula nth term = a + (n-1)d where a is the first term and d is common difference
Answer:
[tex]\bold{a_n=4n-9}[/tex]
Step-by-step explanation:
-1-(-5) = 4 and 3-(-1) = 4 and 7-3 = 3
so: d=4
[tex]a_n=a_1+d(n-1)\\a_1=-5\\d=4\\\\a_{n}=-5+4(n-1)=-5+4n-4=4n-9[/tex]
3g-2+7g+8=
What is this
Answer:
10g+6 is the answer
Step-by-step explanation:
The cost y (in dollars) to spend an evening bowling is proportional to the
number of games x that are bowled.
It costs $16 to bowl 4 games.
5. Write an equation that represents the situation.
6. How much does it cost in dollars) to bowl 6 games?
Answer:
y = 4x
Bowl 6 games cost $24
Step-by-step explanation:
Proportional Relationship
We have a situation where the cost y in dollars to spend an evening bowling is proportional to the number of games x bowled.
A proportional relationship is written with the equation:
y = k.x
The value of k will be determined by using the given information: 4 games bowled cost $16, thus:
16 = k.(4) = 4k
Solving:
k = 16 / 4 =4
Thus, the function is:
y = 4x
x=6 games bowled cost:
y = 4*6
y = $24
Bowl 6 games cost $24
Answer my math question I asked so many times I lost most of points help by
y-intercept: (0, 1)
Line of symmetry calculation: x = -b/2a = -(-2)/2(2) = 0.5
Line of symmetry: x = 0.5
Open UP or DOWN: Opens UP
Min or Max: Min
Vertex: (0.5, 0.5)
Domain: {x|x ∈ ℝ}
Range: {y|y ≥ 1/2}
TNMILLER this for youuuuuuu!
Answer:
??
Step-by-step explanation:
i am so confused... love ur pfp tho
Answer:
:D
Step-by-step explanation:
thank
please help me pls and ty
help
state the multiplicity for each root
[tex]3(x^{2} + 5)^ {2} ( {x}^{2} - 25)^{3} (x - 8)^{4} = 0[/tex]
state the multiplicity for each root
Answers:
The two complex or imaginary roots [tex]x = i\sqrt{5}[/tex] and [tex]x = -i\sqrt{5}[/tex] have multiplicity 2.The two real roots x = 5 and x = -5 have multiplicity 3The root x = 8 has multiplicity 4======================================================
Explanation:
We'll use the zero product property to solve.
[tex]3(x^2+5)^2(x^2-25)^3(x-8)^4 = 0\\\\(x^2+5)^2=0 \text{ or } (x^2-25)^3=0 \text{ or } (x-8)^4 = 0\\\\x^2+5=0 \text{ or } x^2-25=0 \text{ or } x-8 = 0\\\\x^2=-5 \text{ or } x^2=25 \text{ or } x = 8\\\\x=\pm\sqrt{-5} \text{ or } x=\pm\sqrt{25} \text{ or } x = 8\\\\x=\pm i\sqrt{5} \text{ or } x=\pm 5 \text{ or } x = 8\\\\[/tex]
where [tex]i = \sqrt{-1}[/tex]
----------------------
The notation [tex]x=\pm i\sqrt{5}[/tex] breaks up into [tex]x=i\sqrt{5} \text{ or } x=-i\sqrt{5}[/tex]. The multiplicity of these two roots is 2 as it's the exponent of the factor [tex](x^2+5)^2[/tex]. Focus on the outermost exponent.
The notation [tex]x = \pm 5[/tex] becomes [tex]x = 5 \text{ or } x = -5[/tex]. The multiplicity of these two roots is 3 since it's the outermost exponent of the factor [tex](x^2-25)^3[/tex]
And finally, the multiplicity of the root x = 8 is 4 because it is the outermost exponent of the factor [tex](x-8)^4[/tex]
a. 320 km in 5 hours is a rate of ______ per hour.
b. 48 books bought for $360 is at the rate of _______ per book.
c. If 900 litres of water flows through a tap in 2 hours, it is the rate of _____ per minute.
d. Richard works for 10 hours and is paid $145. His rate of pay is _____ per hour.
e. 5kg of peas cost $12.58, which equals _____ per kg.
Answer:
a. 64
b. 7.5
c. 7 min 5 sec
d. 14.5
e. 2.52
The rate per hour is known as the average speed.
Average speed = total distance / time
320 / 5 = 64 km / hr
The rate per book is the cost of one book.
Cost of one book = total cost of the book / number of books bought
$360 / 48 = $7.50
The rate per minute = total litres / total minutes
900 / (2 x 60)
900 / 180 = 5 litres per minute
Rate pay per hour = total amount earned / total hours worked
$145 / 10 = $14.50 per hour
Cost per kg = total cost of the peas / total weight of the peas
$12.58 / 5 = $2.52 per kg
To learn more about average speed, please check: brainly.com/question/9834403
x2 is to 441 as x3 is to ___.
Solve for c in x^2 = 441
Taking the square root of both sides x = 21
Now x^3 = 21^3 = 9,261
The answer is 9,261
The solution is x² is to 441 as x³ is to 9261
What is Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
x² = 441
Taking square roots on both sides , we get
x = 21
Therefore , x³ = 21 × 21 × 21
x³ = 9261
Hence , x² is to 441 as x³ is to 9261
To learn more about equations click :
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According to the synthetic division below, which of the following statements
are true?
Check all that apply.
The question is not complete, so i have attached it.
Answer:
Options A, B & E are correct
Step-by-step explanation:
In the synthetic division attached, we see that:
: 2 , -2 & -12 are the coefficient of the dividend of the function 2x² - 2x - 12
: The divisor is 3
Thus;
x = 3 is a root of f(x) = 2x² - 2x - 12
Thus, (x - 3) is a factor of the dividend which is the function f(x) = 2x² - 2x - 12
- Now, from the attached image, the coefficients of the quotient are 2 , 4
- The quotient will be 1 degree less than the dividend since it was divided by the factor (x - 3)
The degree of the dividend will be 2 since it contains x²
Thus, the degree of the quotient will be 1
Therefore, the quotient in factor form is (2x + 4)
Looking at the given statements in the options;
- Option A is true, because we have established earlier that 3 is a root of f(x) = 2x² - 2x - 12
- Option B is true because we have established that (x - 3) is a factor of 2x² - 2x - 12
- Option C is not true because the factor is (x + 3) and not (x - 3)
-Option D is not true because the root is 3 and not -3
- Option E is true because we have established that quotient as a factor is: (2x + 4)
Thus, the correct options are A , B , E
Describe the set of all complex numbers that are at a distance of 2 units from the origin.
Answer:
The description of the set is [tex]A = \{s\in \mathbb{C}|\|s\| = 2\}[/tex].
Step-by-step explanation:
From Complex Analysis, we remember that complex numbers are numbers whose form is:
[tex]s = a+i\, b[/tex], [tex]a,b \in \mathbb{R}[/tex] (1)
Where [tex]i = \sqrt{-1}[/tex].
In addition, the distance from the origin is defined by the following Pythagorean identity:
[tex]\|s\| = \sqrt{a^{2}+b^{2}}[/tex] (2)
The following condition must be satisfied:
[tex]\|s\| = 2[/tex]
Then, the set of all complex numbers that are at a distance of 2 units from the origin is described below:
[tex]A = \{s\in \mathbb{C}|\|s\| = 2\}[/tex] (3)
The set of all complex numbers that are at a distance of 2 units from the origin is [tex]\{z\in \mathbb{C} :\text{ }|z|=2\}[/tex]
A complex number, written in rectangular form is
[tex]z=a+ib\\a,b\in \mathbb{R}[/tex]
The distance of a complex number from the origin (the modulus of the complex number, denoted by [tex]|z|[/tex]) is given by the formula
[tex]|z|=\sqrt{a^2+b^2}[/tex]
Since we want all the complex numbers to be at the distance of 2 units from the origin, they must satisfy
[tex]|z|=2[/tex]
thus, the set we are looking for is
[tex]D=\{z\in \mathbb{C} :\text{ }|z|=2\}[/tex]
where [tex]\mathbb{C}[/tex] is the set of all complex numbers
Learn more about complex numbers here: https://brainly.com/question/12274048
Help me please be correct tysm <3
Answer:
the answer is yes
because it is within the shaded region of both inequalities
Please help me! Im not good at this topic.
Answer:
I THINK IT IS C.
Step-by-step explanation:
What are the solutions to the equation? x2(x+2)(x+6)=0
Answer:
x1 = -6, x2 = -2
Step-by-step explanation:
hope this helps :)
Solve for n.
n - 26 = -13
n =
Answer:
n= 13
Step-by-step explanation:
.................
Answer:
n=13
Step-by-step explanation:
because 26 is a negative you know that n has to be a positive so you subtract 13 from 26 and that's your answer
Someone please help me, please
A carnival charges $8 to enter and $3 per ride. Fill in the table of values for the total cost for a person to enter and go on 0 to 5 rides
Answer:
Look at the picture
Step-by-step explanation:
For 0 rise it would just be eight dollars
Wow...I forgot how to do this please help
Answer:
B. y = -6x+7
Step-by-step explanation:
change in x is positive 6 change in y is negative 1
6/-1 is the slope
-6 is the slope
What is the solution to the equation shown below? (2/3)x + 5 = 1
Answer:
The solution is x = −6.
Step-by-step explanation:
A 2 1/2 pound bag of grass seed covers 1/8 of an acre.How much grass seed is needed for 1 acre
Answer: 8 times more 8*2 1/2 = 20 pounds.
Step-by-step explanation: If 2.5 pounds cover 1/8 then simply multiply the 2.5 by 8, since you'll need 8/8. 8/8=1.
I hope this helps :)
The closing amount of the Dow Jones Industrial Average on the stock market for four days is shown in the table below.
Date
Closing amount (in points)
01/27
13,895.98
01/28
13,881.93
01/29
13,954.4
01/30
13,860.42
Which best represents the greatest amount of change that took place from one day to the next day over the four-day period?
a loss of 93.98 points
a loss of 72.47 points
a gain of 72.47 points
a gain of 93.98 points
Answer:
The first option
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
Frank bought 5 pounds of dog food for 8.75. At this rate how much would he pay for 8 pounds
$14
you need to set up a preportion
if 5 lbs costs 8.75 then we need to figure out how much 8 lbs cost, obviously lol.
anyways what ya finna do is make a fraction
5 8
--- = ----
8.75 x
then u cross multiply. 8 x 8.75 = 70
70 = 5x
x= $14
Stuart bought a sweater on sale for 30% off the original price and another 25% off the discounted price. If the original price of the sweater was $30, what was the final price of the sweater?
Answer:
$15.75
Step-by-step explanation:
30 multiplied by 0.3 is 9. 30-9 is 21. 21 multiplied by 0.25 is 5.25. 21-5.25 is 15.75
Evaluate the expression | 9 | + | - 2|
Answer: 11
Step-by-step explanation:
|9| + |-2| =
9 + 2 = 11
5(x - 6) + 2 = 7x - 8
what is x
Answer:
x = -10
General Formulas and Concepts:
Order of Operations: BPEMDAS
Properties
DistributiveStep-by-step explanation:
Step 1: Define equation
5(x - 6) + 2 = 7x - 8
Step 2: Solve for x
Distribute 5: 5x - 30 + 2 = 7x - 8Subtract 5x on both sides: -30 + 2 = 2x - 8Add: -28 = 2x - 8Add 8 on both sides: -20 = 2xDivide 2 on both sides: -10 = xRewrite: x = -10Step 3: Check
Plug in x to verify it's a solution.
Substitute: 5(-10 - 6) + 2 = 7(-10) - 8Subtract: 5(-16) + 2 = 7(-10) - 8Multiply: -80 + 2 = -70 - 8Add/Subtract: -78 = -783 (1 - x)=2 (-4x + 7)
Solve for X.
Answer:
x = 11/5
Step-by-step explanation:
3-3x = -8x +14
5x = 11
x= 11/5
9x - 4 = 5x - 4 + 4x
Answer:
X = 1
Step-by-step explanation:
HOPE THIS HELPS
am i answering the same question over and over again?
whatever
PLZ MARK BRAINLIEST
Math Trick
43 x 67 = ?
Answer:2881
Step-by-step explanation:
Answer:
2881
Step-by-step explanation:
Rosa picked some peaches from one tree,
and then she picked 8 peaches from a
different tree.
She gave 10 peaches to Sten.
She has 12 peaches left.
How many peaches did Rosa pick from the
first tree?
Answer:
points
Step-by-step explanation:
which inequality is shown in the graph
Answer:
hgyuu by 7vb j 8gv c ryuug
which is closer to 0 3/8 or -1/3
Answer:
3/8
Step-by-step explanation:
Answer:
3/8 = 9/24
1/3 = 8/24
-1/3 is closer to 0
3/8 is farther from 0