Answers
Given:
The equation is,
[tex]\frac{24x^2+25x-47}{ax-2}=-8x-3-\frac{53}{ax-2}[/tex]Explanation:
Simplify the right hand side of equation.
[tex]\begin{gathered} -8x-3-\frac{53}{ax-2}=\frac{(-8x-3)(ax-2)-53}{ax-2} \\ =\frac{-8ax^2-3ax+16x+6-53}{ax-2} \\ =\frac{-8ax^2+(-3a+16)x-47}{ax-2} \end{gathered}[/tex]From left side and right side of equationn it can be observed that,
[tex]-8ax^2=24x^2\text{ and (-3a+16)x=}25x[/tex]Simplify the equation for a.
[tex]\begin{gathered} -8a=24 \\ a=\frac{24}{-8} \\ =-3 \end{gathered}[/tex]OR,
[tex]\begin{gathered} -3a+16=25 \\ -3a=25-16 \\ a=\frac{9}{-3} \\ =-3 \end{gathered}[/tex]So value of a is -3.
Option B is correct.
Related Questions
Which of the following is true?
Answers
A function is a reletion with one output for each input. Then, in a ordered pair inputs and outputs represent a relationship between two values.
Some relationships make sence (one output for each input) and others dont't.
Functions are relationsips that make sence.
All functions are relations, but not all relations are functions23 < y - 2 solve the inequality of y and simplify your answer as much as possible.
Answers
[tex]23 + 2 < y \\ y > 25[/tex]
ATTACHED IS THE SOLUTION Mind you I swap the positions of the term so that y can be on the left hand side.
Goodluck!!
Answer:
25 < y
Step-by-step explanation:
23 + 2 < y
25 < y
that's as much as it goes
Find the value of x for which i II m?
Answers
Answer:
16. 36.67
17. 40
Step-by-step explanation:
See attached worksheet
The table shows pizza prices at Papi's Pizzeria.
Pizza Size Price
small $9.99
medium $11.99
large $13.99
On Saturday, Papi's sold 39 small pizzas, 62 medium pizzas, and 83 large pizzas.
Which equation represents the total amount of money Papi's made selling pizzas on Saturday?
A.
(
39
+
62
+
83
)
×
(
$
9
.
99
+
$
11
.
99
+
$
13
.
99
)
=
$
6
,
618
.
48
B.
(
$
9
.
99
×
39
)
+
(
$
11
.
99
×
62
)
+
(
$
13
.
99
×
83
)
=
$
2
,
294
.
16
C.
(
39
×
62
×
83
)
÷
(
$
9
.
99
+
$
11
.
99
+
$
13
.
99
)
=
$
5
,
579
.
48
D.
1
3
(
$
9
.
99
+
$
11
.
99
+
$
13
.
99
)
×
(
39
+
62
+
83
)
=
$
2
,
206
.
16
Answers
The equation that represents the total amount of money Papi's made selling pizzas on Saturday is (39 x $9.99) + (62 x $11.99) + (83 x $13.99)
Equation:
An equation is the mathematical statement which is made up of two expressions connected by an equal sign.
For example, 3x – 2 = 16 is an equation.
Given,
There are three types of pizza varieties are small, medium and large. And the price of them are $9.99, $11.99 and $13.99 respectively.
On Saturday, Papi's sold 39 small pizzas, 62 medium pizzas, and 83 large pizzas.
So, we have to write the equation for the total amount of money Papi's made selling pizzas on Saturday.
To calculate the price of the pizza we have to multiply it by the number of items sold by the cost.
So, the equation to calculate the cost of pizza,
=> number of items sold x cost.
Here we have to write the equation for three types and we have to find the total cost for it,
So, the equation is looks like,
=> (39 x $9.99) + (62 x $11.99) + (83 x $13.99)
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PLS HELP ME ANWSER THIS
Answers
Answer:
y=(5/2)x-4
Step-by-step explanation:
1) You would have to find the slope by using the slope equations
(x1-x2)/(y1-y2)
(6-1)/(4-2)
Slope =5/2
2) the next is to find the y-axis
the line land on the x=0 at -4
y-axis=-4
3) plug into slope intercept form
y=mx+b
m=slope
b=y-axis
y=(5/2)x+(-4)
y=(5/2)x-4
Answer:
[tex]y=\frac{5}{2}x-4[/tex]
Step-by-step explanation:
1. we pick 2 points from a graph...one is (0,-4) and the other is (1,2)
2. we find the gradient between the two points using this equation m=[tex]\frac{y2-y1}{x2-x1}[/tex]
3. we plug the value in the equation
4. m = 5/2
5. equation of a straight line is y = mx +c
-where c is the intercept of the graph and m is the gradient
-4=5/2(0)+c
c =-4
therefore [tex]y=\frac{5}{2}x -4[/tex]
Amy found that she could use the function P(t)=3t^2+5t+8 to model the population of a collection of fruit flies over time, where t is the time in days and P(t) is the number of flies. According to her model, how many flies will there be after 16 days?
A: 8
B: 768
C: 856
D: 2204
Answers
The total number of files after 16 days using the function P(t) = 3t² + 5t + 8 is 856.
A relationship between a group of inputs having different outputs is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output.
The function P(t) represents the population of a collection of fruit flies at a particular time in days.
P(t) is the number of flies and t is the time in days.
Now, consider the function:
P(t) = 3t² + 5t + 8
Therefore, the number of flies after 16 days will be:
When t = 16,
P(t) = 3t² + 5t + 8
P(16) = 3(16)² + 5(16) + 8
P(16) = 3 × 16 × 16 + 5 × 16 + 8
P(16) = 768 + 80 + 8
P(16) = 856
Hence, the number of flies after 16 days will be 856 flies using the function P(t).
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p = q - r + s. solve for q
Answers
Answer:
if you can't read my pic the answer is: p+r-s=q
Step-by-step explanation:
hope this helped!
If a = -3x and b = -2i, then find the value of the ab² in fully simplified form.
Answers
The value of the expression ab² is 12x where a = -3x and b = -2i
How to evaluate the expression?From the question, the values of the variables are given as
a = -3x and b = -2i
The expression to calculate is then calculated as
ab²
Substitute the known values in the above equation
So, we have the following equation
ab² = (-3x) * (-2i)²
Evaluate the exponent
So, we have the following equation
ab² = (-3x) * -4
Evaluate the product
So, we have the following equation
ab² = 12x
Hence, the solution to the expression is 12x
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Given the function-f(x) = 9x + 5, find each of the following. f(8), f(-10), f(0)
Answers
Answer:
Step-by-step explanation:
is it
-f(x)=9x+5 or positive?
9(8)+5=72+5
f(8)=77
9(-10)+5=-90+5
f(-10)=-85
9(0)+5=5
f(0)=5
think of f(x) is y instead and whatever is in the parenthesis just plug into the equation for x
PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!
1. The quadratic function f(x) has roots of −4 and 2 and point (1, −5) lies on f(x). What is the equation of f(x)?
f(x) = (x − 2)(x + 4)
f(x) = (x − 2)(x − 4)
f(x) = 4(x − 2)(x + 4)
f(x) = 4(x − 2)(x − 4)
2. What is the standard form of the equation of a quadratic function with roots of 2 and −5 that passes through (1, −3)?
y = −0.5x2 + 1.5x − 5
y = −0.5x2 + 1.5x + 5
y = 0.5x2 + 1.5x − 5
y = 0.5x2 + 1.5x + 5
Answers
Answer: For 1 it is A - f(x)=(x-2)(x+4) and for 2 it is C - y = 0.5x^2 + 1.5x − 5
Step-by-step explanation:
Just use Desmos
please help!!!!!!!!!!!!!
Answers
Answer:
Step-by-step explanation:
I believe the answer is D!
Given that f(x)=x^2-3x-54and g(x)=x-9 find (x)(f⋅g)(x)
Answers
Answer: [tex]x^4 - 12x^3 - 27x^2 +486x[/tex]
Step-by-step explanation:
[tex](f \cdot g)(x)=f(x)g(x)\\\\=(x^2 -3x-54)(x-9)\\\\=x^3 - 9x^2 - 3x^2 + 27x - 54x + 486\\\\=x^3 -12x^2 -27x+486\\\\\therefore x(f \cdot g)(x)=x(x^3 -12x^2 -27x+486)\\\\=x^4 - 12x^3 - 27x^2 +486x[/tex]
I m struggle with this problem can someone help me
Answers
Check below, please
1) The way to tackle this problem, is by dividing those numerators by the denominators so we can get the decimal form of each fraction, and count the marks to plot them.
2) Let's divide them:
[tex]\begin{gathered} -\frac{5}{6}=-0.83 \\ \frac{17}{6}=2.83 \end{gathered}[/tex]So now, we can plot them:
Thus, this the answer.
5=3+a check
need the answer
Answers
how to find a line that is parrallel to y=4 and passes through (-3,1)
Answers
The equation of the line is given as y = 1
What is the equation of a line?In the given question, we are to find the equation of the line that is parallel to the given equation. For y = 4, the slope of the equation is equal to 0 or does not exist.
Using point-slope formula y - y₁ = m(x- x₁)
The points passing through the line is (-3, 1)
We can substitute the values into the equation;
y - 1 = 0(x - (-3)
y = 0 + 1
y = 1
The equation of the line passing parallel to the equation is y = 1
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Mike had 28 books. His brother Joseph decided to give one third of his books to Mike. After that, Joseph and Mike had the exact same number of books. How many books did they have altogether?
Answers
SOLUTION
Given the question in the question tab, the following are the solution step to get the number of books they have altogether.
Step 1: Write the notations for Joseph's and Mike's books
[tex]\begin{gathered} \text{let j represents the number of books Joseph has,} \\ \text{let m represents the number of books Mike has} \end{gathered}[/tex]Step 2: Write the statements in a mathematical form
[tex]\begin{gathered} m=28---\text{statement 1} \\ \frac{1}{3}of\text{ j was given to Mike to have }m+\frac{j}{3}=28+\frac{j}{3} \\ \text{After that, }28+\frac{j}{3}=\frac{2j}{3} \end{gathered}[/tex]Step 3: Solve to get the value of j by using substitution method
[tex]\begin{gathered} \\ m=28+\frac{j}{3} \\ 28+\frac{j}{3}=\frac{2j}{3} \\ \text{ multiply through by 3} \\ 84+j=2j \\ 84=2j-j \\ 84=j \\ j=84 \end{gathered}[/tex]Therefore, Joseph had 84 books initially.
Step 4: Get the number of books they had altogether by summing the number of books for the each of them initially
[tex]\begin{gathered} m=28,j=84 \\ \text{Total}=28+84=112 \end{gathered}[/tex]Hence, they both had 112 books altogether.
what is 5x squared if x is 10
Answers
Answer: 2500
Step-by-step explanation: 5x10 = 50. 50x50 = 2500
Answer:
2500
Step-by-step explanation:
You will have $ in five years if you set aside $1,000 a year at 8%.
Answers
a cyber hacker is trying to identify the mean age of customers that make frequent purchases on the online retail platform. the hacker does not have access to the raw data, however, the hacker had guessed that the age of customers is normally distributed with a standard deviation of 5 years. in addition to the above, the hacker knows that 70% of the time the age of the customers does not exceed 30 years old. calculate the mean age of customers, relying on the above information.
Answers
The mean age of customers is 27.35 years.
It is well known that age has a normal distribution with a 5-year standard deviation. Additionally, 30% of the time, customers are under the age of 30.
Mathematically,
P (age ≤ 30) = 0.70
Let μ be the mean age of the customer.
P [z ≤ (30 - μ) / σ] = 0.70
The equivalent of "age" in a conventional normal distribution is the z-score or z. It is evident from the usual normal distribution table that when z=0.53, 0.70 probability is reached.
Thus,
z = (30 - μ) / σ
⇒ 0.53 = (30 - μ) / 5
⇒ μ = 27.35
As a result, the average consumer is 27.35 years old.
The probability at each z-score in a standard normal table is represented by the associated z-score. We will look for the number 0.70 in the table, then the row value of 0.5 and the associated column value of 0.03 will be examined. They add up to 0.53 when combined.
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10 < w/6 solve the inequality for w and simplify your answer as much as possible
Answers
Answer:
60
Step-by-step explanation:
10 x 6 < w
60 < w
that answers it
Answer: Multiply to remove the fraction, then set equal to
0
and solve.
Inequality Form:
w
>
60
Interval Notation:
(
60
,
∞
)
PLS HELP, IN A HURRY. Would Appreciate!!!!!
Answers
Answer:
y = w/(h - 5c^3)
Step-by-step explanation:
w = yh - 5yc^3
factorise out y:
w = y(h - 5c^3)
rearrange:
y = w/(h - 5c^3)
I think this is correct.
Please help I don’t know what it is
Which methods correctly solve for the variable r in the equation 3/8r+ 2 = 14?
Select all that apply.
Answers
The third option is the correct method that solves for the variable r in the equation
Which method will solve for the variable in the equation correctly?Given the equation: 3/8r+ 2 = 14
Subtract 2 from both sides:
3/8r = 12
Multiply both sides by 8:
3r = 12 x 8
3r = 96
Divide both sides by 3:
r = 96/3 = 32
Therefore, the method that solve the variable r in the equation correctly is the third option.
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Help please! Solve this and show your steps: c = 6.00 + 29.99
Answers
Step-by-step explanation:
you don't a type your question. so if it correct i will be happy to help you
Given m || n, find the value of x and y.
119°
to
yº
E
Answers
x+119°=180°(Co-interior angles are supplementary m || n)
[tex]x = 180 - 119 \\ x = 61[/tex]
y=119°(alternate angles are equal m ||n)
GOODLUCK.
-5/2 can be simplified?
If it can be simplified, would the answer be a fraction or a decimal?
Answers
Answer: -2 1/2 or -2.5
Step-by-step explanation:
Yes, it can be simplified.
-5/2 can be simplified to -2 1/2 which can be as a decimal as -2.5
Match each expression on the left with its equivalent on the right. Some answer choices on the right will not be used.
1,500 × 100
15
Answers
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Explain about the expression?You must substitute a number for each variable and carry out the arithmetic operations in order to evaluate an algebraic expression. Since 6 + 6 equals 12, the variable x in the example above is equal to 6. If we are aware of the values of our variables, we can substitute those values for the original variables before evaluating the expression.
The idea of an expression number makes use of the method of allocating single-digit numbers (1 to 9) to the letters of the English alphabet, starting with A. The main mathematical advancements utilizing these number patterns are highlighted in the next section.
An expression is, for instance, 3x - 2. While an equation, on the other hand, denotes the connection between two separate expressions via an equal to sign.
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Eitan is on a train heading west into the city while Dmitri is on a train on the adjacent track heading east, away from the city. They start 150 miles apart. Eitan’s train is traveling at an average speed of 65 miles per hour while the average speed of Dmitri's train is 55 miles per hour. How long will it take the two trains to reach each other? How far outside the city will they be?
The time when the two trains reach each other is
.
The trains are
away from the city when they reach each other.
Answers
Answer:
1.25 hours.
68.75 miles from the city
Step-by-step explanation:
Eltan's train (E) is travelling 65mph west.
Dmitri's train (D) is travelling 55mph west.
In terms of vectors, we can write E as 65E and D as 55W
The miles travelled by each is a function of time, T, in hours.
Each train's distance is:
E: T*65E
D: T*55W
They are 150 miles apart. They will meet with the combined miles travelled is 150 miles.
150 miles = T*65E + T*55W
150 miles = T(120 miles/hour)
T = (150 miles/120 miles/hour)
T = 1.25 hours
Make Demitri's train mile 0 and Eitan's train at mile 150 at the start.
They will have travelled the following miles in 1.25 hours:
Demitri: (1.25hr)(55 m/hr) = 68.75 miles
Eitan: (1.25hr)(65 m/hr) = 81.25 miles
Total = 150 miles
Dimitri is headed away from the city. After 1.25 hours, his train will have travelled 68.75 miles when he sees Eitan passing him on the adjacent track (hopefull) headed into the city. They meet 68.75 miles from the city.
Answer:
question one is B and question 2 is C
Step-by-step explanation:
Please help, i really need help
Answers
Answer:
Angle 1: 159
Angle 2: 21
Angle 4: 21
Step-by-step explanation:
which one of these options is the best definition of extrapolation? group of answer choices fitting a line to data that is non-linear using a given y-value and a linear regression equation to predict an x-value. using a linear regression equation and any x-value to predict any y-value. using an x-value far from observed x values to predict a y value
Answers
Answer: Extrapolation ,from the above can be defined as using a linear regression equation and any x- value to predict any y-value.
Step-by-step explanation:
Extrapolation regression makes use of estimated regression equation to predict a new value y for specific X values not in the range of the sampled data used to estimate our regression equation
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Kaye Blanchard is 50 years old . She has $ 40,000 of adjusted gross income and $ 10,000 of qualified medical expenses . She will be itemizing her tax deductions this year . How much of a tax deduction will Kaye be able to deduct ( assume 10 % floor for deduction ) ?
Answers
Answer: 70
Step-by-step explanation:
easy addition
