Answer:
[tex]x-3[/tex] by [tex]2x-5[/tex] units
Step-by-step explanation:
Use the slide-and-divide method to factor the polynomial:
[tex]2x^2-11x+15[/tex]
[tex]x^2-11x+30[/tex]
[tex](x-6)(x-5)[/tex]
[tex](x-3)(2x-5)[/tex]
Therefore, the dimensions are [tex]x-3[/tex] by [tex]2x-5[/tex] units
Solve the inequality 15 ≥ q + 3
Answer:
[tex]q\le \:12[/tex]
Step-by-step explanation:
Solving
[tex]\mathrm{Switch\:sides}[/tex] (Not a required step)
[tex]q+3\le \:15[/tex]
[tex]\mathrm{Subtract\:}3\mathrm{\:from\:both\:sides}[/tex]
[tex]q+3-3\le \:15-3\\=q\le \:12[/tex]
[tex]\bold{q\le \:12}[/tex]
Graphing
the two windows shown are similar. What is the height of the larger window?
Answer:
The height of the larger window is 15.36 units.
Step-by-step explanation:
Let the height of the larger window be h.
The width and height of smaller window are 5 and 8 respectively.
The width and height of smaller window are 9.6 and h respectively.
It is given that both windows are similar. The corresponding sides of similar figures are proportional.
\frac{5}{9.6}=\frac{8}{h}
9.6
5
=
h
8
5h=8\times 9.65h=8×9.6
5h=76.85h=76.8
Divide both sides by 5.
h=\frac{76.8}{5}=15.36h=
5
76.8
=15.36
Therefore the height of the larger window is 15.36 units.
PLZ HELP!!! I WILL GIVE CORRECT ANSWER BRAINLIEST!!!
QUESTION: Find three consecutive integers where the sum of the first and the twice second is 35.
Answer:
11, 12, 13
Step-by-step explanation:
let's put the first number of the three as a:
a; a+1; a+2
The sum of the first and the twice second is 35 means:
a + 2(a+1) = 35
a + 2a + 2 = 35
3a = 33
a=11
now that we know a, we just need to add 1 and 2 as they are consecutive:
11, 12, 13
If a polynomial has one root in the form a+√b , it has a second root in the form of a_√b
Answer:
Step-by-step explanation:
a+√b
a-√b
Help help help help math math
Which model shows the greater rate of change
Answer:
Model B
Step-by-step explanation:
In Model A as x increases by 2 y decreases by 1. So as x increases by 1 y decreases by 0.5 giving us a rate of change of -0.5
In Model B we have a slope of 2/3 (because as x inreases 2 times y increases 3 times)
-0.5 < 2/3
plss help me... with explanation
(20 pnts)
Answer:
B. slope
Step-by-step explanation:
45+45-45+45-45+65+275÷92×50
Answer:
[tex]259 \frac{21}{46}[/tex]
Step-by-step explanation:
In order to solve this question we will need to use BODMAS to help us get a reasonable answer. If you don't know what BODMAS is it stands for:
B: Brackets
O: Orders
D: Division
M: Multiplication
A: Addition
S: Subtraction
First Step:
1. [tex]275/92*50[/tex]
First we multiply 50 by 275. Then we divide this result by 92.
[tex]275/92*50=6875/46[/tex]
Second Step:
2. [tex]45+45-45+45-45+65[/tex]
Now lets subract and minus and such that we get 110.
[tex]110[/tex]
Third Step:
Now we combine both these value and we get [tex]259 \frac{21}{46}[/tex]
look at the picture please also be quick bec
a natural number multiplied by itself. is it possible for the result to have 66 as the last 2 digits.
yes or no that is all i need
Andrew and Kate have $30 to spend on dinner, tax, and gratuity at Mo’s Restaurant. Tax is 6%, and they will give a 15% tip on the total bill after taxes. Their dinner costs $21.00. Which statement correctly explains whether Andrew and Kate have enough money to pay their bill?
Yes. They have enough to pay their bill: 30 dollars times 1.06 = 31 dollars and 80 cents and 31 dollars and 80 cents times 1.15 = 36 dollars and 57 cents.
Yes. They have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents.
No. They do not have enough to pay their bill: 30 dollars times 1.06 = 31 dollars and 80 cents and 31 dollars and 80 cents times 1.15 = 36 dollars and 57 cents.
No. They do not have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents.
Answer:
ANSWER: Yes. They have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents.
Step-by-step explanation:
convert all % to decimals
0.06 x 21 = $1.26 tax
0.15 x 21 = $3.15 tip
1.26 + 3.15 = $4.41 added payment
4.41 + 21 = = $25.41 total bill
(yes i am aware i did the method differently since i learned it another way but the answer should till be correct.)
Answer:
Yes. They have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents. Otherwise B.
+
-
1. The amount M (in trillions of dollars) of mortgage debt outstanding in the United States from 1990
through 2009 can be approximated by the function M = f(0) = 0.0037(t + 14.979), where t = 0
represents the year 1990.
(a) Describe the transformation of the common function f(x) = x2. Then sketch the graph over the
intervalo s t < 19.
(b) Rewrite the function so that t = 0 represents the year 2000. Explain how you got your answer.
(c) Use the model from part (b) to predict the mortgage debt in the year 2014.
The give quadratic function is dilated by the given coefficient, and shifted
horizontally to the left.
(a) The transformation of the common function f(x) are;
f(t) is made more wider than f(x) f(t) is shifted more to the left than the common function f(x).Please find attached the required graph created with MS Excel
(b) Where t = 0, represent the year 2,000 we have;
f(t) = 0.0037·(t + 24.979)²(c) The mortgage debt in the year 2014 is M ≈ $5.622 trillion
Reasons:
The given function is f(t) = 0.0037·(t + 14.979)²
Year 1990 is t = 0
(a) The given common function is; f(x) = x²
The transformation of the quadratic function are;
The coefficient 0.0037 widens the common function such that f(t) is wider
than f(x).
The constant, 14.979 added to the variable, t, shifts the graph of the
common function horizontally to the left.
Therefore;
f(t) is wider and shifted to the left more than the common function f(x)Please find attached the required graph over the interval 0 ≤ t ≤ 19 created with MS Excel.
(b) The amount of mortgage debt in 2,000 is given as follows;
With t' = 0 represent the year 2,000, we have;
At year 1990, t' = -10
Which gives, t' = t + 10
From which we have;
f(t) = 0.0037·(t + 14.979)² = 0.0037·(t' + 10 + 14.979)² = 0.0037·(t' + 24.979)²
Therefore;
The function with t = 0 representing the year 2,000 is presented as follows;
f(t) = 0.0037·(t + 24.979)²
(c) In the year 2014, we have;
t = 2014 - 2000 = 14
Which gives;
f(14) = 0.0037·(14 + 24.979)² ≈ 5.622
The mortgage debt in the year 2014 is M ≈ $5.622 trillion dollars
Learn more about transformation of quadratic functions here:
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Josh and Adelina are staff members for a political candidate. They are considering hiring callers who will call voters and ask for donations. (picture below)
a) only adelina's
b) only josh's
c) both statements are correct
d) neither statements are correct
Answer:
Adelina
Step-by-step explanation:
Which one is correct
Find g(-7) for g(t) = 4t^2
Answer:
196
Step-by-step explanation:
Just plug in a -7 for everywhere there is a t:
[tex]g(t)=4t^2\\g(-7)=4(-7)^2\\g(-7)=4*49=196[/tex]
one hundred seventy nine
Which algebraic expression is equivalent to the expression below?
3/5x-7/5y
Answer:
455554444444555556555555554444
Anyone know how to work this problem? I need to find the domain and range
Answer:
Step-by-step explanation:
Domain : [-9,-3]
Range: [2,6]
Answer:
um I think it's the range is 30
If sin θ = 1/2 , then find the value of (sin 3 θ)/(1+ cos 2 θ)
EXPLANATION:
Given that
sin θ = 1/2
We know that
sin 3θ = 3 sin θ - 4 sin³ θ
⇛sin 3θ = 3(1/2)-4(1/2)³
⇛sin 3θ = (3/2)-4(1/8)
⇛sin 3θ = (3/2)-(4/8)
⇛sin 3θ = (3/2)-(1/2)
⇛sin 3θ = (3-1)/2
⇛sin 3θ = 2/2
⇛sin 3θ = 1
and
cos 2θ = cos² θ - sin² θ
⇛cos 2θ = 1 - sin² θ - sin² θ
⇛cos 2θ = 1 - 2 sin² θ
Now,
cos 2θ = 1-2(1/2)²
⇛cos 2θ = 1-2(1/4)
⇛cos 2θ = 1-(2/4)
⇛cos 2θ = 1-(1/2)
⇛cos 2θ = (2-1)/2
⇛cos 2θ = 1/2
Now,
The value of sin 3θ /(1+cos 2θ
⇛1/{1+(1/2)}
⇛1/{(2+1)/2}
⇛1/(3/2)
⇛1×(2/3)
⇛(1×2)/3
⇛2/3
Answer : Hence, the req value of sin 3θ /(1+cos 2θ) is 2/3.
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2x +6y = 2
х= 8 - Зу
What is X and Y?
Answer:
no solutions exist
Step-by-step explanation:
We can solve this by using system of equations and using substitution.
2(8-3y)+6y=2 Substitute x=8-3y into the first equation.
16-6y+6y=2 Distribute.
16=2 Simplify.
16 does not equal 2, so there are no solutions.
The aquarium owns two research boats that will be docked next to the new building. The Delfino recently took 5 hours to cover 57.5 miles of shoreline. On its last research voyage, the Balina surveyed 54 miles in 4.5 hours. Which boat is faster?
The Delfino can travel at a rate of ______________ miles per hour (mph).
The Balina can travel at a rate of ______________ miles per hour (mph).
Answer:
The Balina is faster than the Delfino.
Step-by-step explanation:
Divide the amount of miles covered by the amount of hours it took for each one.
For the Delfino:
57.5 / 5 = 11.5
For the Balina:
54 / 4.5 = 12
You're welcome T^T
I need help fast I forgot how to do this
Answer:
ABC & E are true statements about the graph
solve the log equation
Answer:
x = -5
Step-by-step explanation:
log5((5-3x)/((7+x)^2))=1
(5-3x)/(7+x)^2 = 5
5-3x = 5x^2+70x+245
5x^2+73x+240=0
x= -5, x= -48/5
-48/5 is extraneous
x = -5
10. Find three consecutive even integers such that the product of the first and the second is 92 more
than twice the third integer.
Answer:
10, 12, 14 or -10, -8, -6
Step-by-step explanation:
We can let x represent the middle integer. Then the smaller one is x-2 and the larger one is x+2. The given relation is ...
(x-2)(x) = 92 +2(x+2)
x^2 -2x = 92 +2x +4 . . . eliminate parentheses
x^2 -4x = 96 . . . . . . . . . subtract 2x
x^2 -4x +4 = 100 . . . . . . add 4 to complete the square
(x -2) = ±√100 = ±10 . . . take the square root
x = 2 ± 10 = -8 or +12 . . . . add 2
The three integers might be ...
-10, -8, -6 or 10, 12, 14
What is an equation of the line that passes through the points (-4, -5) and (-3, -2)
Answer: The equation of the line is y = 3/2 x + 1
Step-by-step explanation:
Slope 3/2; The Equation of the line passing through (-4, -5) having a slope of 3/2 is y + 5 = 3/2 (x + 4) or y = 3/2 times X + 6 - 5 or y = 3/2 times X + 1[Ans] graph {3/2*x+1[-10, 10, -5, 5]}
I hope this makes sense to you :)
LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Draw a dilation of the figure using the given scale factor )
Convert 62% into a fraction
Answer:
62% = 31 / 50
Step-by-step explanation:
62/100
if you need to simplify then it would be 31/50
Find the values of the variables.
isosceles trapezoid
Side measures are: 4, 2x, 2x + 2 and 4x +3
X=
Answer:
x = 1Step-by-step explanation:
Given isosceles trapezoid.
Its congruent sides are 4 and (2x + 2):
2x + 2 = 4Solve for x:
2x = 2x = 1The function y = 4x + 3 describes Player A's
scores in a game of trivia, where x is the number of
questions answered correctly and y is the score. The function
represented in the table shows Player B's scores. What do
the rates of change tell you about how each player
earns points?
The rates of change of points earned by both players tell us that;
Player A gains more point than Player B does for each correct answer in this round.
We are told that x is the number of
number ofquestions answered correctly and y is the score.
Now, for player B;
For 1 correct answer, he got a score of 4
For 2 correct answers, he got a score of 5
For 3 correct answers, he got a score of 6
For 4 correct answers, he got a score of 7
This means that rate of change of Player B is;
3 points for every extra question answered correctly. .
Now, the formula for player A's points is;
y = 4x + 3
Rate of change of points here is gotten by finding the derivative. Thus;
dy/dx = 4
This means player A earns 4 points for every extra question answered correctly.
In conclusion, it mean that Player A gains more point than Player B does for each correct answer in this round.
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The area of Asia is approximately 4.46 × 107 square kilometers. Its population is approximately 3.70 × 109 people. What is the approximate population density (people per square kilometer) of Asia? Write your answer in standard form. If necessary, round your answer to the nearest hundredth.
- 120.54 people/km2
- 82.96 people/km2
- 8.30 x 10 (15th power) people/km2
- 8.30 x 10 (1st power) people/km2
Step-by-step explanation:
you have to be careful what you are typing.
the way you wrote the numbers Asia would be a tiny place with very few people.
but I think you meant to say :
area is 4.46 × 10⁷ km²
with 3.70 × 10⁹ people.
people / km² = 3.70/4.46 × 10⁹/10⁷ =
= 0.829596413... × 10² = 82.9596413... =
= 82.96 people/km²
The population density will be equal to 82.96 people/km2. The correct option is B.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that the area is 4.46 × 10⁷ km² with 3.70 × 10⁹ people. The population density will be calculated as below:-
Density = people / km² = ( 3.70 × 10⁹ ) / ( 4.46 x 10⁷ )
Density = 0.829596413... × 10² = 82.9596413
Density = 82.96 people/km²
Therefore, the population density will be equal to 82.96 people/km2. The correct option is B.
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6. Jan went to the mall with $20. She spent $5 at the mall. What decimal represents how much of her $20 she spent at the mall?
Answer:
0..........5
Step-by-step explanation: