Answers
Answer:
x = 8. y = 21
Step-by-step explanation:
x + 8x + 18 = 90
combine like terms
9x + 18 = 90
-18 both sides
9x = 72
divide by 9 both sides
x = 8
______
3y + 27 = 90
-27 both sides
3y = 63
divide by 3 both sides
y = 21
Related Questions
6. A garbage truck collects trash from
68 trash cans. Another truck collects
trash from 39 fewer trash cans. How
many trash cans do the trucks collect
trash from in all?
trash cans
Answers
Make a list of all possible rational zeros of f(x)=5x^3+7x^2−81x+45, and then use this list to find all of the functions’ rational zeros, if any exist.
Rational Zero Candidates: ±
Rational Zeros:
Answers
The zeroes of the polynomial are x=3, x=-5 and x=3/5
What are Zeroes of the polynomial?The locations where a polynomial becomes zero overall are known as the zeros of the polynomial. The term "zero polynomial" refers to a polynomial with a value of zero . The highest power of the variable x is referred to as a polynomial's degree. A linear polynomial is a polynomial with degree 1.
Given:
f(x)=5x³+7x²−81x+45.
let us take x= 3
5(27)+7(9)-81(3)+45
=135+63-243+45
= 243-243
=0
So, 3 is a root of polynomial and x-3 is factor of Polynomial.
Now, divide 5x³+7x²−81x+45 by x-3 we get 5x²+22x-15
Now, factorise 5x²+22x-15.
= 5x²+25x-3x-15
= 5x( x+ 5) - 3(x+ 5)
= (5x - 3)( x+ 5)
Then, x= 3/5 and 5
Hence, the zeroes of the polynomial are x=3, x=-5 and x=3/5
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Dwayne wants to redecorate his bedroom and decides to purchase new furniture. The following graph could be used to represent the value of the new bedroom furniture, f(x), after x years.
A graph of an exponential function which decreases through the points 0 comma 1200 and 2 comma 675.
Which of the following statements is/are true based on the graph and the context of the problem?
The y-intercept (0, 1200) represents the initial cost of the bedroom furniture.
The function is negative on its entire domain.
The domain is x ≥ 0 to represent the number of years after the bedroom furniture was purchased.
Answers
The y-intercept (0, 1200) represents the initial cost of the bedroom furniture option (A) is correct.
What is an exponential function?It is defined as a function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent y = a×
where a is a constant and a>1
The exponential function is of the form:
y = ab×
Plug x = 0 and y = 1200
1200 = a
Plug x = 2, y = 675, and a = 1200
675 = 1200(b)²
b = 0.75
y = 1200(0.75)×
y = 1200
Thus, the y-intercept (0, 1200) represents the initial cost of the bedroom furniture option (A) is correct.
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15) Set up an equation and solve using a FULL sentence.
Erlena has $250. She saves $75/month. Jabril has $400. He
saves $50/month. When will they have the same amount?
How much will each of them have at that time?
Answers
By 6 months both of them have same amount
Each of them have $700 at that 6 months.
What is an equation?In French, an equation is defined as having one or more variables, whereas in English, an equation is any well-formed formula consisting of two expressions linked by an equals sign.
Unknowns are the variables for which the equation must be solved, and equation solutions are the values of the unknowns that satisfy the equality.
Given that, Erlena has $250 and she saves $75/month then,
The equation is,
250+75x
And also given that, Jabril has $400 and he saves $50/month then,
The equation is,
400+50x
250+75x=400+50x
150=25x
x=6
By 6 months they have same amount
250+75(6)=700
400+5(6)=700
They both have $700 at that 6 months
Therefore, By 6 months both of them have same amount
Each of them have $700 at that 6 months.
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help me please I am in need of this answer too
Answers
When corresponding angles are congruent, the lines are parallel
Congruent AnglesCongruent angles are two or more angles that are identical to each other. Thus, the measure of these angles is equal to each other. The type of angles does not make any difference in the congruence of angles, which means they can be acute, obtuse, exterior, or interior angles. The angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal.
Examples of the corresponding angle are any angles which are formed on the opposite side of the transversal. Now, it should be noted that the transversal can intersect either two parallel line or two non-parallel lines. Thus, corresponding angles can be of two types:
Corresponding angles formed by parallel lines and transversals
Corresponding angles formed by non-parallel lines and transversals
Looking at the image, angle I is congruent to each other. Angle II is congruent with each other as well as angle III.
When corresponding angles are congruent, the lines connecting them must be parallel. This is the only valid or correct options in the task.
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Which transformation always preserves distance and angle measures?
Answers
Step-by-step explanation:
Rigid motion
Rigid motion – A transformation that preserves distance and angle measure (the shapes are congruent, angles are congruent).
The siding of a house is 2250 square feet. The siding needs two coats of paint.
1 quart costs 18 dollars and covers 80 square feet;
1 gallon, costs 29 dollars, covers 320 square feet.
A. What is the minimum cost of the paint needed to complete the job?
B. How much paint is left over when you spend the minimum amount?
Answers
Answer: Minimum cost = $264
Paint left over = 7/8 qt
Step-by-step explanation:
6 gal covers 1920 sf (6 gal x 320 sf/gal)
6 gal x $29/gal = $174
2250 sf - 1920 sf = 330 sf
Need 4.125 qt to cover 330 sf, but you can't buy a partial quart
5 qt x $18/qt = $90
Total cost = $174 + $90 = $264
You have 7/8 qt left over
Determine the perimeter of the right triangle shown.
Answers
Answer:
27
Step-by-step explanation:
I looked at the graph and added 6+6=12 so the bottom is 12 and for the height i added 1+8=9 and then i added another 12 because the bottom is also 12 and divided that by 2 which is 6 so i got 27.
this may not be right but i am hoping that is it!
Have A Great Day!!!
A coach can take 40 passengers.how many passenger can be carried by 18 coaches
Answers
C:P
1:40
18:x
Nakeisha is a songwriter who collects royalties on her songs whenever they are played in a commercial or a movie. Nakeisha will earn $30 every time one of her songs is played in a commercial and she will earn $110 every time one of her songs is played in a movie. Nakeisha's songs were played on 2 more commercials than movies, and her total earnings on the royalties from all commercials and movies was $760. Write a system of equations that could be used to determine the number of commercials and the number of movies on which Nakeisha's songs were played. Define the variables that you use to write the system. Please help this is due tonight!!!
Answers
Answer:
z = 30x + 110y
x = y + 2
z = royalties
x = no of commercial
y = no of movies
Write an equation for the quadratic graphed below:
x-intercepts: (-3,0) and (1,0); y-intercept: (0,-3)
Answers
Answer:
y = (x + 3)(x - 1) or y = x² + 2x - 3Step-by-step explanation:
Quadratic equation:
y = a(x - p)(x - q), where a - constant, p and q - x-intercepts.Substitute p and q:
y = a(x - (-3))(x - 1)y = a(x + 3)(x - 1)Find the value of a, using the y-intercept:
- 3 = a(0 + 3)(0 - 1)- 3 = a*3*(-1)-3 = - 3aa = 1The equation is:
y = (x + 3)(x - 1)or
y = x² + 2x - 3The vertices of a triangle are p(-1,4) Q (8,-3) and R(2,-6) Name the vertices of R y-x (PQR)
Answers
The reflection of the points P(-1, 4), Q(8, -3) and R(2, -6) across the line y = x are P'(1, -4), Q'(-8, 3) and R'(-2, 6).
First, let us understand the reflection of a point:
The reflection of a point or set of points across the line y = x results in a point or set of points whose coordinates are the interchange of the x-value and the y-value of the original point or set of points.
We are given:
The vertices of a triangle are P(-1, 4), Q(8, -3) and R(2, -6).
We need to find the reflection of the points across the line y = x.
So,
P(-1, 4) = P'(1, -4)
Q(8, -3) = Q'(-8, 3)
R(2, -6) = R'(-2, 6)
Thus, the reflection of the points P(-1, 4), Q(8, -3) and R(2, -6) across the line y = x are P'(1, -4), Q'(-8, 3) and R'(-2, 6).
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QUESTION 1: In the clip, Danny Nguyen is all-in with A 7 against an opponent with A K+. The flop is
5 K 5. After this, the next two cards must both be sevens for Nguyen to win. Compute the probability
of this happening. NOTE: There are three sevens left in the deck and it is no longer a 52 card deck
because the cards shown are removed. Show all calculations in determining your answer
Answers
The probability is 0.00332.
From the given question,
Danny Nguyen has A 7 and opponent has A K+.
The flop is : 5 K 5
As there are two players playing the remaining cards in the deck will be (52 - 2 - 2 - 3 -1(burn)) = 44
For Nguyen to win he needs two of the three 7's left in the deck for turn and river.
For turn we have to select a 7 from the three 7's and for river we have to select a 7 of the remaining two 7's.
So the probability is
P = [tex]\frac{\binom{3}{1}}{\binom{43}{1}}*\frac{\binom{2}{1}}{\binom{41}{1}}[/tex]
P = 0.00332
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What do you know about the relationship between lines a and b? justify your conclusion with a theorem or postulate
Answers
Answer:
last answer.
Step-by-step explanation:
First of all, how did you get the second answer?
Line a has to be perpendicular to Line b.
Perpendicular transversal theorem:
In a plane, if a line is perpendicular to one of two parallel lines , then it is perpendicular to the other line also.
In this case, a||c, and line b is perpendicular to line c.
We can therefore use perpendicular transversal theorem to state that line a is perpendicular to line b.
Turn into vertex form x^2= 9x-20
Answers
The vertex form of the given equation is (x - 9/2)² - 1/4
Vertex form
The general vertex form is written as
y = a (x - h)² + k
Where, a, h, and k are real numbers, where a ≠ 0.
And x and y are variables where (x, y) represents a points.
Given,
Here we have the equation x² = 9x - 20
Now, we have to convert this equation into vertex form.
In order to convert this into vertex form, first we have to rewrite the given equation as follows:
=> x² - 9x + 20 = 0
Here the coefficient of the x is 9, so now we divide this by 2 :
=> 9 ÷ 2 = 9/2
And then we have to square it (9/2) ² then we get the value 81/4.
So we add and subtract 81/4, then we get,
=> x² - 9x + 81/4 - 81/4 + 20 = 0
Now, we have to rewrite it as,
=> [x² - 9x + 81/4] + [-81/4 - 20]
When we simplify it then we get,
=> (x - 9/2)² - 1/4
Therefore, the vertex form of the equation is (x - 9/2)² - 1/4.
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0.721x10 to the second power
Answers
Answer:
72.1
Step-by-step explanation:
It is 10 to the power of 2 because the exponent is 2. The result is a number bigger than the origin or base number because the exponent is positive. We move the decimal two times to the right to arrive at our conclusion:
0.721--> 72.1
therefore, your answer will be 72.1
please help me solve this question
Answers
The function on the graph can't be a sin, then the correct option is:
y = A*cos(k*x) + C
Which equation matches the graph?
We know that the graph is either of the equation:
y = B*sin(k*x) - C
Or
y = A*cos(k*x) + C
Now, notice that there is a maximum at x = 0
And we also know that:
sin(0) = 0
cos(0) = 1
Then the option with the sin can be discarded, as it does not have a maximum at x = 0.
The correct option is:
y = A*cos(k*x) + C
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Make the subject of
X
16
=
р
Answers
Answer: x= p16
Step-by-step explanation:
5–3 3/5 ÷ (–3– –3 3/4)
Answers
Answer:
[tex]0.2[/tex]
Step-by-step explanation:
... .. ... .. .
What is the value of the expression m - when m = 3?
1/15
13/15
23/15
Answers
The value of the expression when m = 3 is 13/15. So option(2) is correct.
The equation is defined in its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, x + 3 = 4 is an equation, in which x + 3 and 4 are two expressions separated by an 'equal' sign.
Given the expression as shown below:
2/5 m - 1/3
If m is equal to 3, then the expression will be;
2/5(3) - 1/3
6/5 - 1/3
Find the LCM
6/5 - 1/3 = 3(6)-5/15
6/5 - 1/3 = 18-5/15
6/5 - 1/3 = 13/15
Therefore the value of the expression if m = 3 is 13/15
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Suppose you sell 8,000 of the 3 pack of lenses described in question 3 above in one year. You cost on each 3 pack is $29.95 and you sell them for $59.95. If your operating expenses for the year total $144,080, what are your Net Income and Net Profit Margin Percentage?
Answers
Your net income and Net profit margin percentage, given the cost of the pack of lenses, and your operating expenses are:
Net income - $95, 920Net profit margin percentage - 19.3%How to find the net income?To find the net income, first find the revenue:
= Number of packs x selling price
= 8, 000 x 59.95
= $479,600
The cost of goods sold is:
= Cost of lenses x number of lenses
= 29.95 x 8,000
= $239, 600
The net income is:
= Revenue - cost of goods sold - operating expenses
= 479, 600 - 239,600 - 144,080
= $95, 920
The net profit margin percentage is:
= Net income / total revenue
= 95, 920 / 497, 600
= 19.3%
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Find the slope of the table below.
Answers
Answer: 10
Step-by-step explanation:
To find the slope, we will take two points and find the change in y over change in x.
[tex]\displaystyle \frac{y_{2} -y_{1} }{x_{2} -x_{1} } = \frac{35-15}{3-1}=\frac{20}{2} =10[/tex]
The slope of the table is 10.
Question 30 of 50
The inequality x ≤ -2 would represent the values {-1, -2, -3}.
False
True
Answers
Answer:
False. -1 is more than -2, so the first value shows it is false.
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Answers
Answer:
28.26
Step-by-step explanation:
a waste bin is in the shape of a cylinder. the diameter of the base is 20cm and the height is 25cm. what is the volume of the bin. please help me with the answer.
Answers
Answer:
[tex]250\pi[/tex] cm³
Step-by-step explanation:
If the radius is 20 cm, the diameter is 10 cm.
Thus, the volume is [tex]\pi(10^2)(25)=250\pi[/tex] cm³.
Complete the statement. The drawing is not to scale.
Answers
Answer:
The second option so 54 degrees.
Step-by-step explanation:
The line drawn on angle d in both spots indicates it's congruent so if one side is a number the other side is that same number so in this case, it's 54 degrees.
What is the image of (3,3)(3,3) after a dilation by a scale factor of 1/3
centered at the origin?
Answers
The image of (3, 3) after dilation by a scale factor of 1/3 centered at the origin will have coordinate (1, 1)
What is dilation?Dilation refers to the transformation that increases or reduces the image formed after the transformation
When the scale factor is greater that 1 the transformation will lead to magnification when the scale factor is less than 1 the image formed is compressed.
The transformation rule fir dilation is (x, y) → (kx, ky)
where k is the scale factor = 1/3
(3, 3) → (1/3 * 3, 1/3 * 3) → (1, 1)
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Solve the equation without using a calculator
[tex]\displaystyle\\3^\frac{x+2}{3x-4}-2\cdot3^\frac{5x-10}{3x-4}=7[/tex]
Answers
Answer:
x = 2=========================
Rewrite(5x - 10)/(3x - 4) = (6x - 8 - x - 2)/(3x - 4) = 2 - (x + 2)/(3x - 4)Substitute[tex]3^{(x + 2)/(3x - 4)} = t[/tex]New equationt - 2·9/t = 7t - 18/t = 7t² - 7t - 18 = 0t² - 9t + 2t - 18 = 0t(t - 9) + 2(t - 9) = 0(t - 9)(t + 2) = 0t - 9 = 0 and t + 2 = 0t = 9 and t = - 2 (excluded as the power of 3 can't be negative)Substitute back[tex]3^{(x + 2)/(3x - 4)} = 9[/tex][tex]3^{(x + 2)/(3x - 4)} = 3^2[/tex][tex](x + 2)/(3x - 4) = 2[/tex][tex]x + 2 = 6x - 8[/tex][tex]6x - x = 2 + 8[/tex][tex]5x = 10[/tex][tex]x = 2[/tex]
What kind of relationship is expressed below?
5i+3=7
Answers
The relationship for the expressed value will be an equation, as there is equal sign in between the expression.
What is an equation?
Two or more expressions with an equal sign is called an equation.
As in given expressed value two expressions are equated with equal sign,
5i+3=7
Here, Left hand side is equal to Right hand side.
Also have Equal sign.
Whereas in expression, there will be no equal sign,
only - variables, operators and numeric values.
For Function, expression is equated to F(variable).
Hence, equation is the relationship for 5i+3=7.
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Danny’s home cost $350,000. If the federal government program for flood damage insurance covers only $150,000, what percent of the total value does this represent?
Answers
Amount of $150,000 represents 42.86% of $350,000.
What is Equation Modelling?
Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have Danny’s home cost $350,000. The federal government program for flood damage insurance covers only $150,000.
Assume that it represents [x%] percent of the total value. Then, we can write -
x = (150000/350000) x 100
x = 42.86%
Therefore, $150,000 represents 42.86% of $350,000.
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