Answer:
The first term is 1
Step-by-step explanation:
The forward term to term rule is "multiply by 3 and add 1"
The backward rule is therefore
"subtract 1, then divide by three"
Apply the backward rule twice to go from 3rd to first term:
(13-1)/3 = 4
(4-1)/3 = 1
The first term is 1
Answer:
a_1 = 1
Step-by-step explanation:
your sequence is a_n = a_(n-1) * 3 + 1
if your 3rd one is 13 then:
a_3 = a_2 * 3 + 1 = (a_1 * 3 + 1) *3 + 1
13 = 9_a1 + 3 + 1
9 = 9*a_1
a_1 = 1 :)
You can buy 5 stickers for $3. Write a proportion that gives the
cost c if you buy 12 stickers.
Answer:
$7.5
Step-by-step explanation:
Let
Quantity of stickers=x
Price of stickers=y
5 stickers cost $3
12 stickers cost $y
x/y = x/y
5/3 = 12/y
Cross product
5y=12*3
5y=36
Divide both sides by 5
5y/5 = 36/5
y=7.5
12 stickers= $7.5
Therefore, the price of 12 stickers= $7.5
1. The mayor of the city of Cleveland wants to increase taxes in order to invest in a light-rail transit system. She hires a polling agency to randomly
select 750 registered voters in the city to survey in order to determine the maximum percentage increase in municipal taxes that they would
approve. What is the population in this survey and the population parameter?
All American citizens and the maximum percentage increase in taxes
750 registered voters in Cleveland and the average light-rail transit cost per mile
O All registered voters in Cleveland and the maximum percentage increase in taxes
O Citizens over 65 years of age in Cleveland and the 750 registered voters
Answer:
All registered voters in Cleveland and the maximum percentage increase in taxes
it is a polynomial or not write step in step
Answer:
√(3x)-2y+7
here √(3x) means, √3×√x
√x = x^(1/2)
now, now the exponent is 1/2, which means it's not a polynomial
The Changs received a delivery of fuel oil totaling 35.00 gallons. The oil cost $3.05 per gallon. What did the Changs pay for the delivery
Answer:
$106.75
Step-by-step explanation:
Since the cost of a gallon of oil cost $3.05, we are going to have the equation y = 3.05x, where x represents the number of gallons of oil.
Since the Changs have 35 gallons of oil, the equation would be;
3.05(35) = 106.75
The Changs paid $106.75 for the delivery.
6. Solve for x!! please help!
x/2 = -7
=> x = -7 × 2
=> x = -14
Answer:
x=-14
Step-by-step explanation:
[tex]\frac{x}{2} =-7\\\\x=-14\\[/tex]
Given that p=x^2-y^2/x^2+xy
I. Express p in the simplest form
ii. Find the value of p if x=-4 and y=-6
Answer:
p = - [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Given
p = [tex]\frac{x^2-y^2}{x^2+xy}[/tex] ( factorise numerator and denominator )
x² - y² ← is a difference of squares and factors as (x - y)(x + y)
x² + xy ← factor out x from each term
= x(x + y) , thus
p = [tex]\frac{(x-y)(x+y)}{x(x+y)}[/tex] ← cancel (x + y) on numerator/ denominator
= [tex]\frac{x-y}{x}[/tex] ← substitute x = - 4, y = - 6
= [tex]\frac{-4-(-6)}{-4}[/tex]
= [tex]\frac{-4+6}{-4}[/tex]
= [tex]\frac{2}{-4}[/tex] = - [tex]\frac{1}{2}[/tex]
9. PLEASE HELP ME
Which of the following are the coordinates of the vertex of y= 3x2 + 3?
A. (3, 0)
B. (–3, –3)
C. (3, 3)
D. (0, 3)
Answer:
C. (3, 3)
Step-by-step explanation:
Jolene bought 3 plants at a greenhouse. Each plant cost $2.50. To calculate the total cost of the plants, Jolene added (3(2)) + (3(0.50)). What property of multiplication did she use?*
A.Distributive Property
B.Associative Property
C.Commutative Property
D.Identity Property
Answer:
The answer is A.Distributive PropertyStep-by-step explanation:
Distributive property of multiplication has to do with the multiplication of numbers by the sum of that number
say in our given example $2.05.
When we decide to multiply 3 property with $2 and $0.5 which when added together will still give $2.05, we are using distributive property of multiplication.
Hence according to distributive property 3*$2.05 is the same as
3*$2 + 3*$0.5
QUICK IT IS FOR, NOW!!! I WILL GIVE BRAINLIESTS AND 10 POINTS
When p2 – 4p is subtracted from p2 + p – 6, the result is: -3p-6, 5p-6 or 4p+6. To get p – 9, subtract: 4p+3, 4p-15 or 4p+12 from this result.
Step-by-step explanation:
p² - 4p is subtracted from p² + p - 6 is written as
p² + p - 6 - (p² - 4p)
Remove the bracket and simplify
That's
p² + p - 6 - p² + 4p
p² - p² + 4p + p - 6
We have the answer as
5p - 6Let the unknown expression be x
Subtract x from the expression to get p - 9
That's
5p - 6 - x = p - 9
x = 5p - p - 6 + 9
x = 4p + 3
The expression is
4p + 3Hope this helps you
Express 4 in simplest radical form.
Answer:
2
Step-by-step explanation:
If you vertically compress the linear perent function, F(x) = x, by multiplying by 1\2
what is the equation of the new function?
Answer: [tex]y=\dfrac12 x[/tex] .
Step-by-step explanation:
We know that [tex]a f (x)[/tex] compresses f(x) vertically such that
if 0 < a < 1 (a fraction), the graph is compressed vertically by a factor of a units.if a > 1, the graph is stretched vertically by a factor of a units.If we vertically compress the linear parent function, F(x) = x, by multiplying by [tex]\dfrac12[/tex].
Then, the equation of the new function is [tex]y=\dfrac12 F(x)=\dfrac12 x[/tex] .
i.e. [tex]y=\dfrac12 x[/tex] .
Michelle's last electric bill listed a previous reading of 17.934 kWh. This month, the electric meter reading is
18,796 kWh. If the electric company charges $0.09 per kWh, what is the charge for usage?
Answer:
charge = 18796 * 0.09$
=1691.64$
Step-by-step explanation:
Answer:
18796 * 0.09$
=1691.64$
Step-by-step explanation:
Can you help me please.
Answer:
option 2.
Step-by-step explanation:
You use the y-intercept form: y=mx+b
mx=slope, and b=y-intercept.
Looking at this graph, you can see that the slope is -2/3 (rise over run), and the line is negative, so the slope becomes negative.
So now, we can see the only option having the slop -2/3x is option 2.
Anybody good in pre Calculus and know how to do #3 or #4?
Answer:
3. 0
4. n = -2
Step-by-step explanation:
I haven't taken pre-calc but this looks a lot like algebra.
For #3, just plug in -2 for the x values, so:
x^2 + 4x +4
(-2)^2 + 4(-2) + 4
= 4 - 8 + 4
= 0
For #4, move the variables to one side and solve( im not sure what the pi is for tho, or is that a n?):
5n + 6 = -3n - 10
add 3n to both sides
8n + 6 = -10
subtract 6 from both sides
8n = -16
divide both sides by 8
n = -2
I need help ASAP!! Please explain how to do solve the problem.
Answer:
3
Step-by-step explanation:
The co-ordinates of the smaller and larger triangles are 4,5 3,2 & 6,3 and 12,15 9,6 18,9
To find out dilation factor,
Co-ordinates of smaller triangles* dilation factor=co-ordinates of
larger triangles(or use (kx,ky) where k is the dilation factor and x and y are the co-ordinates)
(4,5) (3,2) (6,3)k=(12,15) (9,6) (18,9)
Equate and solve,
k=(12,15) (9,6) (18,9)/(4,5) (3,2) (6,3)[Informal]
k=3
Is {3,…} a defined set
Answer:
I am odd number my digits add up to 7 i am bigger than 50 and smaller 100
Hi please answer ASAP please and thank you
Answer:
1 1/4
Step-by-step explanation:
2 3/4 - 1 1/2
3 3/4 - 1 2/4
1 1/4
Ben wants to get a 94 in math class. His grade will be the average of two test scores. He scored an 89 on the first test. What grade does Ben need to get on his second test to meet his goal?
Answer:
Ben needs to get a 99% on his second test
Step-by-step explanation:
The average is the sum of both test scores, divided by the total number of test scores (2).
Let x by the grade Ben must receive on his second test.
(89 + x)/2 = 94
Multiply by 2 on both sides
89 + x = 188
Subtract 89 on both sides
x = 99
Check work:
(89 + 99)/2 = 188/2 = 99
Answer: 99
Concept:
Here, we need to know the idea of the average value.
In mathematics, average refers to the sum of a group of values divided by n, where n is the number of values in the group.
Average = Sum of value / number of values
Solve:
Given information
Scoring on first test = 89
Scoring on second test = x
Number of tests = 2
Average = 94
Given expression
Average = Sum of value / number of values
Substitute values into the expression
94 = (89 + x) / 2
Multiply 2 on both sides
94 × 2 = (89 + x) / 2 × 2
188 = 89 + x
Subtract 89 on both sides
188 - 89 = 89 + x - 89
[tex]\boxed{x=99}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
The manufacturer ID number for Bayer Healthcare is (325866) and the item number for a bottle of Aleve Liquid Gels is (53590). What is the valid UPC? *)
A) 3-25866-53590-5
B) 3-25866-53590-0
C) 1-25866-53590-0
D) 5-35900-32586-6
The manufacturer ID number for Bayer Healthcare is (325866) and the item number for a bottle of Aleve Liquid Gels is (53590). then valid UPC would be option B) 3-25866-53590-0 by checking the check digit.
It is known that a UPC is made up of 6 to 9 digits from the left that is the manufacturer id number and 5 digits from the right before the last digit is the product id number.
the last digit is used to check the integrity of the UPC and is known as a check digit.A specific algorithm based on the odd and even number of the previous 11 digits determines the last number, which is used to confirm the validity or integrity of the UPC.A UPC can be validated with a manual calculation:
Given :
UPC = 3-25866-53590-5/0
=> Step 1: Add the digits at odd positions.
3 + 5 + 6 +5 + 5 + 0 = 24
=> Step 2: Multiply the number obtained in steps 1 by 3.
24*3 = 72
=> Step 3: The digits at even positions have to be added except check digit
2 + 8 + 6 +3 +9 = 28
=> Step 4: Add the numbers obtained in Step 2 and step 3.
72+ 28 = 100
=> Step 5: The number obtained in step 4 is subtracted from the next multiple of 10.
Here 100 will be subtracted from 110.
110 - 100 = 10
the last digit will be 0,
Thus, the correct option is B. 3-25866-53590-0.
Learn more about:
https://brainly.com/question/12538564
What is the difference between sin^-1 and sin?
Answer:
Step-by-step explanation:
sin of angle x is the trig ratio sine of x.
sin-1 x is the angle whose sine is x.
sin-1 x can also be written as arcsin x.
Before an algebraic fraction is selected as a final answer what should you always check?
That the power of the numerator is greater than the denominator.
That the coefficients of the denominator are greater than those in the numerator.
That the variables are all written in alphabetical order.
That the fractions are reduced with all common factors canceled.
Answer:
That the fractions are reduced with all common factors canceled.
Step-by-step explanation:
Hello,
Before an algebraic fraction is selected I should that the fractions are reduced with all common factors cancelled so that I got the irreducible fraction.
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Solve the equation. 0.15 = y-0.45
Answer:
0.6
Step-by-step explanation:
0.6-0.45=0.15
The value of y from the given equation is 0.60.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is 0.15=y-0.45.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Here, 0.15=y-0.45
y=0.15+0.45
y=0.60
Therefore, the value of y is 0.60.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
What is the sign of e + d when e > 0 and d 0?
Choose 1 answer:
Positive
Negative
Zero

9514 1404 393
Answer:
(B) Negative
Step-by-step explanation:
You can try an example:
c = 1, d = -1
c/d = 1/-1 = -1 . . . . negative
_____
Additional comment
The sign of the result of multiplication and/or division of any number of factors will be negative if there are an odd number of minus signs involved. It will be positive if there are an even number of minus signs involved.
Can someone help me on this ASAP it’s very tricky
Well the two equations are in y=mx+b form, also known as slope-intercept form.
The slope for the first equation is 5/6. The slope for the second is -4/3. Its very simple. We say that x is 0 for example...
When X = 0...
First equation: Y=7
Second Equation: Y=-6
On the graph you plot (x,y) (0,7) on the graph. so on the Y axis, put a dot at 7. This is for the first equation. We can say x is 6 also, and then the answer is -1.
So the second point is (6,-1).
FIRST EQUATION ONLY: Plot (0,7), (6,-1)
For the second I wont be elaborate as much but its (0,-6), (3,-10)
Brainiest/Heart if helpful!
Answer:
(-6, 2)
Step-by-step explanation:
When you graph [tex]y=\frac{5}{6} x+7[/tex], you get the red line.
When you graph [tex]y=-\frac{4}{3} x-6[/tex], you get the blue line.
The answer is the point they intersect, or cross. That would be (-6, 2).
I hope this helps!
pls ❤ and mark brainliest pls!
Simplify
[tex] \frac{7xy}{ {x}^{2} - 4x + 4 } \div \frac{14y}{ {x}^{2} - 4} [/tex]
I will mark it as the brainliest please answer this question
Answer:
The answer is
[tex] \frac{ {x}^{2} + 2x}{2x - 4 } [/tex]Step-by-step explanation:
[tex] \frac{7xy}{ {x}^{2} - 4x + 4 } \div \frac{14y}{x^{2} - 4} [/tex]
To simplify , factorize
x² - 4x + 4 and x² - 4
For x² - 4x + 4
Write - 4x as a difference
x² - 2x - 2x + 4
x( x - 2) - 2(x - 2)
(x - 2)(x - 2)
For x² - 4
use the formula
a² - b² = ( a+b)( a - b)
That's
x² - 4 = (x + 2)(x - 2)
So now we have
[tex] \frac{7xy}{(x - 2)(x - 2)} \div \frac{14y}{(x + 2)(x - 2)} [/tex]Change the division sign to multiplication sign and reverse the second fraction
That's
[tex] \frac{7xy}{(x - 2)(x - 2)} \times \frac{(x + 2)(x - 2)}{14y} [/tex]Simplify
We have
[tex] \frac{x}{(x - 2)(x - 2)} \times \frac{(x + 2)(x - 2)}{2} [/tex]Reduce the expression with x + 2
That's
[tex] \frac{x}{x - 2} \times \frac{x + 2}{2} [/tex]Multiply the fractions
[tex] \frac{x(x + 2)}{2(x - 2)} [/tex]We have the final answer as
[tex] \frac{ {x}^{2} + 2x }{2x - 4} [/tex]Hope this helps you
PLEASE HELP ASAP!!! ):
9514 1404 393
Answer:
see attached
Step-by-step explanation:
This is made slightly more difficult by the fact that the given polynomials are not in order of decreasing powers of x. So, you need to be careful what you're adding, to make sure the terms are "like".
__
Add: (-2x² +3x +4) +(x² -4x -5) = (-2+1)x² +(3-4)x +(4-5) = -x² -x -1
Opp: -(3x² -x +1) = 3x² +x -1
Sub: (x² +3x -4) -(-2x² +4x -3) = (1-(-2))x² +(3-4)x +(-4-(-3)) = 3x² -x -1
A chef mix his salt and pepper. If he put 2/3 cup of salt and 1/2 cup of pepper in his shaker, what is the ratio of salt to pepper ?
Answer:
4 to 3
Step-by-step explanation:
The ratio of salt to pepper is
2/3 to 1/2
Multiply both fractions by 6
6 * 2/3 to 6 * 1/2
4 to 3
What is the equation of this line?
Answer:
this is your test right pls study and answer
type the correct answer in each box. use numerals instead of words. if necessary, use / for the fraction bar
HELP HELP
Answer:
Hello,
Step-by-step explanation:
f(x)=x+3 if -3≤x≤-1
(the line is passing trough (-3,0) and (-1,2) ==> y-0=(x+3)((2-0)/(-1+3) ==> y=x+3
f(x)=5 if -1≤x≤1
A. (-2,-1)
B. (-1,-2)
C. (1.-2)
D. (2,-1)
Answer:
D. 2,-1
Step-by-step explanation:
When a line is reflected by y=x, the x and y switch.