The polynomial
[tex] { - 3x}^{2} + 400x[/tex]
represents the budget surplus of the town of Alphaville for the year 2010. Alphaville's surplus in 2011 can be modeled by
[tex] { - 1.5x}^{2} + 300x[/tex]
If x represents the yearly tax revenue in thousands, enter a polynomial for how much Alphaville's budget surplus increased from 2010 to 2011. If Alphaville took in $450,000 in tax revenue in 2011, what was the budget surplus that year?
The surplus increased by __________
Alphaville's budget surplus was $_____ thousand, or$ ______ million
Answer:
Answer:
Question 1: Budget Surplus Increase = 12x(exponent 2) - 200x
Question 2: Budget surplus in 2011 = $3.04 * 10 (exponent 12)
Step-by-step explanation:
Question 1
Budget surplus in 2010 =
Budget surplus in 2011 =
Increase in buget surplus = Budget surplus in 2011 - Budget surplus in 2010
Question 2
2011 yearly tax revenue, x = $450,000
Budget surplus in 2011 =
Budget surplus in 2011 ≅ $
Step-by-step explanation:
Can somebody help me solve for x?
Answer:
x = 18
Step-by-step explanation:
80 / 48 = 30 / x
80x = 1440
x = 18
Mang Nathaniel is selling two kinds of vinegar. Silver duck is priced at Php
10 per bottle and Reyna Puti is priced at Php 15 per bottle. If he needs a
total sales of Php 600.00, how many bottles of Reyna Puti should he sell if
there were already 30 bottles of Silver duck sold?
Answer:
Reyna Puti sold = 20 bottles
Step-by-step explanation:
Silver duck = Php 10 per bottle
Reyna Puti = Php 15 per bottle
Silver duck sold = 30 bottles
Reyna Puti sold = x bottles
Total sales = Php 600.00
Total = cost of Silver duck * number sold + cost of Reyna Puti * number sold
600 = 10 * 30 + 15 * x
600 = 300 + 15x
600 - 300 = 15x
300 = 15x
x = 300/15
x = 20 bottles
Reyna Puti sold = 20 bottles
By selling a watch for Rs 1275, Javed lost 15%. At what price should he sell to make a profit of 10%
Answer: Rs. 1,650
Step-by-step explanation:
First find the original price of the watch.
If the watch is sold at Rs. 1,275, there is a 15% loss.
Assume the watch is x.
(1 - 15%) * x = 1,275
0.85x = 1,275
x = 1,275 / 0.85
x = Rs. 1,500
Now add a 10% markup on the original:
= (1 + 10%) * 1,500
= 1.1 * 1,500
= Rs. 1,650
evaluate the following expression 10x(-9+(-6))
Answer:
-150x
Step-by-step explanation:
0.734862.. irrational or rational
Answer:
Irrational
Step-by-step explanation:
Simplify
(2a²b)(4ab)
Answer:
8a^3b^2
Step-by-step explanation:
What is the slope of the line that passes through the points (3, -20) and (11, 16)?
please I'm being timed
Answer:
9/2
Step-by-step explanation:
(3, -20) & (11, 16)
To find the slope of the line that passes through these points, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(16 - (-20)) / (11 - 3)
Simplify the parentheses.
= (36) / (8)
Simplify the fraction.
36/8
= 9/2
9/2 is the most simplified fraction. This is your slope.
Hope this helps!
I’m stuck I need help please.
Answer:
6
Step-by-step explanation:
30+25n=90+15n
10n=60
n=6
Answer:
She would have to buy 4 personal training sessions
Step-by-step explanation:
30 + 25 + 25 + 25 (3 training sessions)
= 105
90 + 15 (1 training session)
= 105
Consider the inequality -20.2 > 0y. Which of the following must be true? Check all that apply.
You cannot divide by zero.
The inequality is equivalent to -20.2 > 0, which is false.
The solution is y > 0.
The solution is 0 > y.
The solution is y = 0.
I think the answer is 0>y
Answer:
option 1 and 2
Step-by-step explanation:
edge 2021
Kindle wrote a five page report with 250 words per page how many words are in the report ?
Answer:
The answer is 1250
Step-by-step explanation:
5×250=1250
Answer:
1250
Step-by-step explanation:
number of words on one page= 250
number of pages= 5
total number of words=250 x 5
=1250
There 1250 words in the report
PLEASE MARK ME AS BRAINLIEST!!!!!
The length of a rectangle is three more than twice it’s width. the area of the rectangle is 189 in^2
What is the width
What is the length
Answer:
Let w be the width of the rectangle. The length would be 2w+3. The area of the rectangle would be w(2w+3)=189.
So 2w2+3w-189=0 Solving for w you get w=9 or -10.5. Ignoring negative value Width of the rectangle would be 9mm and length of the rectangle would be 21mm giving you the area 189 square mm.
Hope this helps:)
Jennifer has 12 nickels and dimes. The value of her coins is $1
Answer:
4 dimes, 12 nickels
Step-by-step explanation:
nickels are worth 5 cents,
12x5=60
$1 is worth 100 cents
100-60 is 40
dimes are worth 10 cents
40 / 10 is 4
so 4 dimes
The number of dimes = 8 dimes
The number of nickels = 4 nickels
What is an 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 ,
Let the number of nickels be = x
Let the number of dimes be = y
Now , the total number of coins = 12
So , the equation will be
x + y = 12 be equation (1)
Now , the total value of coins = $ 1
The value of 1 dime = $ 0.10
The value of 1 nickel = $ 0.05
So , the equation will be 0.05x + 0.10y = 1 be equation (2)
Multiply equation (2) by 100 , we get
5x + 10y = 100 be equation (3)
Multiply equation (1) by 5 , we get
5x + 5y = 60 be equation (4)
Subtracting equation (4) from equation (3) , we get
5y = 40
Divide by 5 on both sides of the equation , we get
y = 8
Therefore , the value of y = 8
Substitute the value of y in equation (1) , we get
x + y = 12
x + 8 = 12
Subtracting 8 on both sides of the equation , we get
x = 4
Therefore , the value of x is 4 and value of y is 8
Hence , The number of dimes = 8 dimes
The number of nickels = 4 nickels
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Aubrey has a new art box in the shape of a rectangular prism. The box is 12 cm by 5cm
Answer:
1196
Step-by-step explanation:
trust me i checked the answer!
A local hamburger shop sold a combined total of 376 hamburger and cheeseburgers on Sunday. There were 74 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Sunday?
Answer:
82
Step-by-step explanation:
let X = the number of hamburgers sold
let Y = the number of cheeseburgers sold a combined total of 328 were sold
so: X + Y = 328
cheeseburgers = 3 times the number of hamburgers sold
so: Y = 3X
substitute 3X into the equation for Y
X + 3X = 328
4X = 328
divide both sides by 4 to get the variable X by itself
X = 82
so: 82 hamburgers were sold Friday
Answer:
There were 225 hamburgers sold on Sunday.
Step-by-step explanation:
2h - 74 = 376
h = hamburgers
2h - 74 + 74 = 376 + 74
2h = 450
2h/2 = 450/2
h = 225
Check.
hamburgers + cheeseburgers = total number of burgers
225 + (225 - 74)
225 + 151 = 376
When the angle of elevation of the sun is 78 degrees, a tree casts a 13 foot shadow. How tall is the tree?
Answer: 61.16 ft
Step-by-step explanation:
We can think in this situation as a triangle rectangle.
where:
The height of the tree is one cathetus
The shadow of the tree is the other cathetus.
We know that the angle of elevation of the sun is 78°, an angle of elevation is measured from the ground, then the adjacent cathetus to this angle is the shadow of the tree. And the opposite cathetus will be the height of the tree.
Now we can remember the relationship:
Tg(A) = (opposite cathetus)/(adjacent cathetus)
Where:
A = 78°
Adjacent cathetus = 13ft
opposite cathetus = height of the tree = H
Then we have the equation:
Tg(78°) = H/13ft
Tg(78°)*13ft = H = 61.16 ft
please help i’m just trying to pass
Answer:
C- 2
Step-by-step explanation:
f(-2)=4x+10
= 4*(-2)+10
=-8+10
f(-2)=2
Convert to equation: four times a number increased by 8 is 24
Answer:
4*4
Step-by-step explanation:
since 4 times 4 is 16 then if you add 8 its 24
how to factorise
25x²- 64y²
Answer:
(5x + 8y)(5x - 8y)
Step-by-step explanation:
Since both terms are perfect squares, factor using the difference of squares formula, a^2 - b^2 = (a + b)(a - b) where a = 5x and b = 8y.
~Hoped this helped~
Tyrone has 16 model airplanes on his shelf. He has 4 times as many model airplanes as model trains. How many model trains does Tyrone have?
Write multiplication and division equations to model and solve the problem. Use m for the unknown
Step-by-step explanation:
Write multiplication and division equations to model and solve the problem. Use m for the unknown
The table shows how many hours Sara spent at several activities one Saturday.
Activity "Hours
Soccer practice 2
Birthday party 3
Science project 1
What is the ratio of hours spent at soccer practice to hours spent at a birthday party?
Choose 1 answer:
1 for every 2
B
2 for every 1
2 for every 3
3 for every 2
Answer:
Its2 for every 3
Step-by-step explanation:
Giovanni is heating up mini frozen pizzas in the microwave. Each pizza takes 3 ¾ minutes to cook. How long will it take Giovanni to heat up 3 pizzas? *
Time taken by a pizza to get cooked [tex] =\tt 3 \frac{3}{4} \: minutes [/tex]
Number of pizzas with Giovanni = 3
Time that will be taken to heat up 3 pizzas :
[tex] =\tt 3 \frac{3}{4} \times 3[/tex]
[tex] = \tt\frac{4 \times 3 + 3}{4} \times 3[/tex]
[tex] =\tt \frac{12 + 3}{4} \times 3[/tex]
[tex] = \tt\frac{15}{4} \times 3[/tex]
[tex] = \tt \frac{15 \times 3}{4} [/tex]
[tex] = \tt \frac{45}{4} [/tex]
[tex]\color{plum} =\tt 11 \frac{1}{4} \: minutes[/tex]
Therefore, Giovanni will take [tex] \color{hotpink}\tt \bold{11 \frac{1}{4}} \: minutes [/tex] to heat up 3 pizzas.
Find y when x = 2
y = 30 - 2x
algebra 1 Solve number 10 !!!
Answer:
0.06x + 0.15y = 69.84
x = (69.84 - 0.15y) / 0.06
y = (69.84 - 0.06x) / 0.15
x + y = 852
((69.84 - 0.15y) / 0.06) + y = 852
y = ?
(I'm not trying to give you the answer but guide you how to do it)
Solve for y when f(x)=2x^4-5
Which property is illustrated by the following statement?
AJAR= AJAR
A
J
R
A. Transitive
OB. Associative
O C. Reflexive
D. Symmetric
Answer: Reflexive
Step-by-step explanation:
The property that illustrated by the following statement is D. Symmetric
What is reflexive property of congruence?The reflexive property of congruence says that the considered geometric quantity, whether it be angle, line segment, or shape etc, is congruent to itself.
The symmetric property of congruence says, for objects A and B,
if A ≅ B, then B ≅ A.
The symmetric property of congruence makes the statement true:
if ΔHXA ≅ ΔRGI, then ΔRGI ≅ ΔHXA
Here properties:
Reflexive -- an object is congruent to itself: ΔHXA ≅ ΔHXA
Commutative , the operations allow the order of their operands to be reversed: A +B = B +A for addition; AB = BA (for scalar multiplication)
Transitive -- if A ≅ B and B ≅ C, then A ≅ C.
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(2x + 1, XS-5
f(x)= x?, -5
3-x, x5
f(-10) =
f(2) =
f(-5) =
f(-1) =
f(8) =
Answer:
Step-by-step explanation:
The value of the function is given by the relation
f ( x = -10 ) = -19
f ( 2 ) = 4
f ( -5 ) = 25
f ( -1 ) = 1
f ( 8 ) = -5
What is a function rule?The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = { 2x + 1 when x ≤ 5
x² when -5 ≤ x ≤ 5
3 - x when x ≥ 5 }
Now , the value of the function is given by
when x = -10
f ( -10 ) = 2 ( -10 ) + 1
f ( -10 ) = -19
f ( 2 ) = 2²
f ( 2 ) = 4
f ( -5 ) = ( -5 )²
f ( -5 ) = 25
f ( -1 ) = ( -1 )²
f ( -1 ) = 1
f ( 8 ) = 3 - 8
f ( 8 ) = -5
Hence , the function is solved
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A circular mirror has a diameter of 16.5 inches. What is the circumference of the mirror? Round to the nearest hundredth
Answer:
C≈51.84in
Step-by-step explanation:
C=2πr
d=2r
Solving for C
C= πd= π·16.5≈51.83628in
Toms banks baleances at the end of the months 1,2,3 are 1600 ,1664,1730.56 what will toms balance be at the end of month 5
Answer:
Tom's balance at the end of month 5 = 1,871.77
Step-by-step explanation:
a = 1600
ar = 1664
ar² = 1730.56
common ratio, r = ar/a
= 1664/1600
= 1.04
r = 1.04
what will toms balance be at the end of month 5
Month 5 = ar⁴
= 1600 * 1.04⁴
= 1600 * 1.16985856
= 1,871.773696
Approximately 1,871.77
Tom's balance at the end of month 5 = 1,871.77
Shaun climbed Mount Rushmore at a unit rate of
1,250 meters per minute. How long did it take him to
climb 75,000 meters?
Answer:
60
Step-by-step explanation:
75,000/1,250= 60 mins or an hour
