if f(x)=3x+23, find the value of x so that f(x)=36
with steps please!
Answers
Answer: f(36)=131
Step-by-step explanation:
f(x)=3x+23
f(36)=3(36)+23
f(36)=108+23
f(36)=131
Answer:
131
Step-by-step explanation:
f(x)=3x+23 The first thing you do is plug in 36. so replace the X's with 36.
f(36)=3(36)+23 The second step is to multiple 3 times 36.
f(36)=108+23 The last step is to add 108 to 23.
F(36)=131
Related Questions
If the triangle equals 12cm in perimeter, what's the equation for the triangle with 5cm,3cm, and a missing number labeled as P
Answers
Hope it helps
Thank you
A bridge, PR, across a river is 400 m long. Gabe is launching a canoe at point Q.
He will paddle in a diagonal line across the river to point P. He plans to return along a route beside the bridge from P to R, and then along the shore from R back to Q. How far will this be altogether?
Answers
Therefore, the total distance Gabe will paddle is 2x + 400 meters. The exact value of x depends on the width of the river, which is not provided in the given information.
To find the total distance Gabe will paddle, we need to consider the distance he will travel from Q to P, then from P to R, and finally from R back to Q.
First, let's consider the distance from Q to P. Since Gabe will paddle in a diagonal line across the river, this distance can be calculated using the Pythagorean theorem.
The length of the bridge (PR) is given as 400 meters, which is the hypotenuse of a right triangle. The width of the river can be considered as the perpendicular side, and the distance Gabe will paddle from Q to P is the other side. Let's call this distance x.
Using the Pythagorean theorem, we have:
x^2 + (width of the river)^2 = PR^2
Since the width of the river is not given, we'll represent it as w. Therefore:
x^2 + w^2 = 400^2
Next, let's consider the distance from P to R. Gabe will paddle along a route beside the bridge, which means he will travel the length of the bridge (PR) again. So, the distance from P to R is also 400 meters.
Finally, Gabe will paddle back from R to Q along the shore. Since he will follow the shoreline, the distance he will paddle is equal to the distance from Q to P, which is x.
To find the total distance, we add up the distances:
Total distance = QP + PR + RQ
= x + 400 + x
= 2x + 400
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Explain how to modify the graphs of f(x) and g(x) to graph the solution set to the following system of inequalities. How can the solution set be identified?
y > x^2 – 2
y ≥ –x^2 + 5
This is a algebra2 question, no geometry stuff.
Answers
Answer: (read the explanation)
Step-by-step explanation:
To graph the solution set to the given system of inequalities, we can begin by graphing the two inequalities separately. For the first inequality, y > x^2 – 2, we can graph the function y = x^2 – 2 on the coordinate plane and shade the region above the graph. This will represent the values of x and y that satisfy the inequality.
For the second inequality, y ≥ –x^2 + 5, we can graph the function y = –x^2 + 5 on the coordinate plane and shade the region below the graph. This will represent the values of x and y that satisfy the inequality.
Next, we can combine the two graphs by intersecting the shaded regions. The resulting graph will show the solution set to the system of inequalities. The solution set can be identified as the points on the coordinate plane that are contained within the shaded region on the combined graph.
Overall, to modify the graphs of f(x) and g(x) to graph the solution set to the given system of inequalities, we can graph the functions y = x^2 – 2 and y = –x^2 + 5 on the coordinate plane and shade the regions that satisfy the inequalities. The solution set can then be identified as the points within the shaded region on the resulting combined graph.
what number multiplied by 3 and subtracted by 2 equals 40
Answers
The number multiplied by 3 and subtracted by 2 equals 40 is 14.
Linear Equation:The Equation that is used to find an unknown value is known as Linear Equation. To find an unknown value or quantity, first form a linear equation according to the conditions that are given the problem, here we use variables like x, y, etc. to represent the unknown value.
Here we have
A Number is multiplied by 3 and subtracted by 2 equals 40
Let the number be x
Given that 'x' is multiplied by 3 (3x); subtracted by 2 (3x-2) equals to 40
=> 3x - 2 = 40
Add 2 on both sides
=> 3x - 2 + 2 = 40 + 2
=> 3x = 42
Divide by 3 into both sides
=> 3x/3 = 42/3
=> x = 14
Therefore,
The number multiplied by 3 and subtracted by 2 equals 40 is 14.
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Another student bought 4 notebooks at $1.30 each and a dictionary for $15.50. The sales tax is 3%. What was the total cost?
Answers
20.81
Step-by-step explanation:
4 x 1.30 = $5.20
$5.20 + $15.50 = $20.20
20.20 x 3% = $.61
20.20 + .61 = $20.81
It's $21.32 <3 hope this helps!
Find the total surface area of these solids
Answers
Area(cube)=1.44cm²*6
=8.64cm²
Same thing with the prism but we have to find the area of one of his triangle face and rectangle faceS(triangle)=5mm*4mm*1/2
=10mm²
S(rectangle)=7mm*5mm=35mm²
The prism has 2 triangle faces and three rectangle faces so we multiply the area by those numbers and then we add those together to get the final areaS=10mm²*2+35mm²*3
S=20+105
S=125mm²
Hope this helped..Hope this helped..Brainliest pls..uhhhhhhh i dont understand tis
Answers
Answers:
f) hard working. Think of "industry" or "industrial" to help remember.b) state of disorder. Mayhem is effectively chaos.e) expressions of sorrow. For example, you would give lamentations at a funeral.i) gridlock or standstill. Example: "Congress is at an impasse on passing a new spending bill". You can think of it like saying "it's not possible to pass or get through".a) A long angry rant or speech. I'm not sure what trick you can use to remember this, but the term "harangue" sounds negative which seems to be fitting with the angry rant/speech.c) Overly concerned about small details. Usually you might hear it used in a way where someone mentions "not to be pedantic", they basically mean "not to nitpick at the fine details". h) Terrible; extremely poor. Someone who is abominable has bad morals or values as a person. For instance, a murderer is someone who is abominable.d) Characterized as having too high of an opinion of oneself. Someone with a big ego only thinks about themself and no one else. The tern narcissism also applies.g) The effects of something. Specifically, repercussions are referred to as unintended consequences of an action. j) The act of surrendering. I don't know of a useful trick to help remember this term.solve the system of equations y = 4x + 1 y = x^2 + 2x - 2 A. (-3,-13) and (1,3) B. (-3,13) and (1,-3) c. (1,3) and (-3,13) D. (-1,-3) and (3,13)
Answers
Step-by-step explanation:
Since each equaion is equal to 'y'....just equate them and solve for 'x'
4x+1 = x^2 + 2x -2 simplify
x^2 -2x -3 = 0 factor ( or use Quadratic Formula)
(x-3)(x+1) = 0 shows x = 3 or -1
sub these values into either one of the equations to calculate the corresponding 'y' :
when x = 3 y = 4x+1 y = 4(3) + 1 = 13
When x = -1 y = 4 (-1) +1 = -3
(3,13) and ( -1, -3)
We can solve the system of equations by setting the expressions for y equal to each other:
4x + 1 = x^2 + 2x - 2
Simplifying and rearranging, we get:
x^2 - 2x - 3 = 0
Factoring, we get:
(x - 3)(x + 1) = 0
So the solutions for x are x = 3 and x = -1.
Substituting these values back into either equation, we get the corresponding values of y:
When x = 3, y = 4x + 1 = 13.
When x = -1, y = 4x + 1 = -3.
Therefore, the solution to the system of equations is (x,y) = (-1,-3) and (3,13).
The correct answer is (D).
jokes are listed in a magazine, where one is written by a female author. If the order in which these jokes are told makes a difference in terms of how they are received, how many ways can they be delivered if a joke by a man is told first?
Answers
Answer: Let's assume that there are "m" jokes written by male authors and "f" jokes written by female authors, such that m + f = total number of jokes in the magazine.
If a joke by a man is told first, there are (m - 1)! ways to arrange the remaining m - 1 jokes written by male authors and f! ways to arrange the jokes written by the female author. The total number of ways the jokes can be delivered is (m - 1)! * f!.
So, the answer is (m - 1)! * f! ways to deliver the jokes if a joke by a man is told first.
Step-by-step explanation:
Realy need help if you help thank you so much
Answers
Answer:
B
Step-by-step explanation:
Rate, in this case, is mph which can be written as miles/hours.
HTH :)
what is the simplified form of the expression
\( \sqrt[3]{27} \)
Answers
simplified form of the expression
\( \sqrt[3]{27} \)
Answer:
\(\rightsquigarrow\) \(\tt{\sqrt[3]{27} }\) ⠀
\(\rightsquigarrow\) \(\tt{\sqrt[3]{3×3×3} }\) ⠀
\(\rightsquigarrow\) \(\tt{3 }\) ⠀
Meagan printed 40 pictures from her recent family reunion. Of these pictures, 12 show both people and pets, 4 show only pets, and 24 show only people. Meagan is in one-half of the pictures that show both people and pets and she is in one-third of the pictures that show only people.
Answers
Answer: if the question is how many pictures total is megan in, she’s in 14/40 photos
Step-by-step explanation:)
There are 24 grapes. Luke eats 6 grapes from the bowl. Then Juan and Luke equally shared the grapes that are left.
Answers
Answer:
Juan and Luke each ate 9 grapes
Step-by-step explanation:
24 - 6 = 18
18 ÷ 2 = 9
Answer:
9 would be given to Juan and Luke
(Luke would have technically eaten 15 though)
Step-by-step explanation
so, there are 24 grapes
24 - 6 (number eaten) = 18
two people sharing = 18 ÷ 2
and that, equals 9
Write the slope-intercept equation of the function f
whose graph satisfies the given conditions.
The graph of f passes through (-7,-8)
and is perpendicular to the line whose equation is x= -13
.
Answers
The slope-intercept equation of the function f is y = -8.
The equation x = -13 represents a vertical line parallel to the y-axis.
The slope of a vertical line is undefined.
Since the graph of f is perpendicular to the line x = -13, the slope of f will be the negative reciprocal of the undefined slope of the line x = -13.
The negative reciprocal of an undefined slope is 0.
We know that f passes through the point (-7, -8).
Using the point-slope form of a linear equation, we can write the equation as:
y - y1 = m(x - x1),
where (x1, y1) is the given point and m is the slope.
Substituting the values, we have:
y - (-8) = 0(x - (-7)),
y + 8 = 0(x + 7),
y + 8 = 0,
y = -8.
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how do i solve and grqph?
-2/5 |x+1| +3
Answers
Answer: -2/5 |x+1| +3= 13-2x/5
Step-by-step explanation:
−2÷5(x+1)+3
Fraction
5
−2
can be rewritten as −
5
2
by extracting the negative sign.
−
5
2
(x+1)+3
Use the distributive property to multiply −
5
2
by x+1.
−
5
2
x−
5
2
+3
Convert 3 to fraction
5
15
.
−
5
2
x−
5
2
+
5
15
Since −
5
2
and
5
15
have the same denominator, add them by adding their numerators.
−
5
2
x+
5
−2+15
Add −2 and 15 to get 13.
−
5
2
x+
5
13
What is the remainder 0f 23451638 divided by 5?What is the remainder of 23451638 divided by 4? [Hint: This is easv; use and 5 divide 100.] Note: You can earn partia credit On this problem
Answers
The remainder 0f 23451638 divided by 5 is 3 and the remainder of 23451638 divided by 4 is 2.
RemainderThe Remainder is the value left after the division. If a number is not completely divisible by another number then we are left with a value once the division is done. This value is called the remainder.
in the question when 23451638 is divided by 5 then we get 4690327 as quotient and 3 as remainder and when the 23451638 is divided by 4 then we get as 5862909 quotient and 2 as remainder.
The remainder is always less than the divisor. If the remainder is greater than the divisor, it means that the division is incomplete.
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Inurance companie are intereted in knowing the population percent of driver who alway buckle up before riding in a car. They randomly urvey 382 driver and find that 294 claim to alway buckle up. Contruct a 87% confidence interval for the population proportion that claim to alway buckle up. Ue interval notation
Answers
The 87% confidence interval for the population proportion of drivers who claim to always buckle up is approximately 0.73 to 0.81.
To determine the Z-score for an 87% confidence level, we need to find the critical value associated with that confidence level. We can consult a Z-table or use a statistical calculator to find that the Z-score for an 87% confidence level is approximately 1.563.
Now, we can substitute the values into the formula to calculate the confidence interval:
CI = 0.768 ± 1.563 * √(0.768 * (1 - 0.768) / 382)
Calculating the expression inside the square root:
√(0.768 * (1 - 0.768) / 382) ≈ 0.024 (rounded to three decimal places)
Substituting the values:
CI = 0.768 ± 1.563 * 0.024
Calculating the multiplication:
1.563 * 0.024 ≈ 0.038 (rounded to three decimal places)
Substituting the result:
CI = 0.768 ± 0.038
Simplifying:
CI ≈ (0.73, 0.81)
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Enhanced - with Hints and Feedback At 100°C the rms speed of nitrogen molecules is 576 m/s. Nitrogen at 100°C and a pressure of 2.4 atm is held in a container with a 13 cm x 13 cm square wall.
Answers
At 100°C, the nitrogen molecules in the container have an rms speed of 576 m/s. The pressure inside the container,
which is at a pressure of 2.4 atm, is a result of the collisions of these fast-moving molecules with the walls of the container. The area of the wall is 13 cm x 13 cm, which means there is a total surface area of 169 cm^2.
The collisions of the nitrogen molecules with this surface area will result in a force on the wall, which is what creates the pressure.
Overall, the properties of the nitrogen molecules, including their speed and number, contribute to the overall pressure inside the container.
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Combine like terms:
8b + 8 -4b -3
Answers
Yeah, good luck with the rest of your schoolwork :0
Which of the following is the correct point-slope equation for the line that
passes through the point (-4,-2) and is parallel to the line given by
y = 5x + 44?
Ay+2= 5(x+4)
OB. y-4-5(x-2)
OC. y+4= 5(x+2)
OD. y-2= 5(x-4)
Answers
The correct point-slope equation for the line that passes through the point (-4,-2) and is parallel to the line given by y = 5x + 44 is: A. y + 2 = 5(x + 4)
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.Since the line is parallel to y = 5x + 44, the slope is equal to 5.
At data point (-4, -2) and a slope of 5, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - (-2) = 5(x - (-4))
y + 2 = 5(x + 4)
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Which expression is equivalent to -7(y - 2)
Answers
The expression equivalent to -7(y - 2) is -7y + 14
Which expression is equivalent to -7(y - 2)?
Given the expression; -7(y - 2)
We expand the expression by multiplying each element inside the parentheses the element out i.e -7
-7(y - 2)
[ -7 × y and -7 × -2 ]
-7y + 14
Therefore, the expression equivalent to -7(y - 2) is -7y + 14.
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a type of diagram that is used to graphically show the relationship between two numerical variables.
Answers
The type of diagram used to graphically show the relationship between two numerical variables is called a scatter plot.
A scatter plot is a visual representation of data points plotted on a graph, with one variable represented on the x-axis and the other variable represented on the y-axis.
Each data point on the plot corresponds to a pair of values from the two variables being analyzed. The position of each point on the graph indicates the values of both variables, allowing us to examine the relationship between them.
The main purpose of a scatter plot is to visualize the correlation or relationship between the two variables. The pattern formed by the data points on the plot can indicate the direction, strength, and nature of the relationship.
For example, if the points on the scatter plot tend to form a linear pattern, it suggests a linear relationship between the variables. On the other hand, if the points are scattered randomly with no clear pattern, it indicates a weak or no relationship between the variables.
Scatter plots are commonly used in various fields, including statistics, data analysis, and scientific research. They provide a visual way to explore and interpret relationships between variables, identify outliers, detect trends, and assess the strength and direction of associations.
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what is the solution to the system of equations graphed below? y=-x+3 y=x-3
Answers
Answer:
x-3=-x+3
2x=6
x=3 y=0
the solution is the intersection of those two lines!
A lender estimates the closing costs on a home loan will be 3.75% of the loan amount of $120,000. the actual closing costs are listed below. closing cost charge loan origination $300 title insurance $600 attorney’s fees $1,250 appraisal $550 inspection $525 recording fees $125 escrow $2,000 evaluate the lender’s good faith estimate. a. the lender made an excellent estimate; it was equal to the actual closing costs. b. the lender made a very good estimate; it was within 0.25% of the actual closing costs. c. the lender made a fairly good estimate; it was between 0.25% and 0.5% of the actual closing costs. d. the lender made a poor estimate; it was off by more than 0.5% of the actual closing costs.
Answers
The lender’s good faith estimate is that he made a poor estimate; it was off by more than 0.5% of the actual closing costs.
What is closing cost?All the expenduture and charges charged by a lander and other parties is called the closing cost.
A lender estimates the closing costs on a home loan will be 3.75% of the loan amount of $120,000. Thus, the estimate closing cost is,
\(C_{ec}=\dfrac{3.75}{100}\times120000\\C_{ec}=4500\)
The actual closing costs are listed below.
Loan origination $300Title insurance $600 Attorney’s fees $1,250 Appraisal $550 Inspection $525 Recording fees $125 Escrow $2,000.The total annual cost is,
\(C= $300 +$600 +$1,250 +$550 +$525 +$125 +$2,000\\C=4800\)
Total annual cost is $300 more than the estimate closing cost. In the percentage form,
\(p=\dfrac{4800-4500}{4500}\times100\\p=6.66\%\)
Thus, the lender’s good faith estimate is that he made a poor estimate; it was off by more than 0.5% of the actual closing costs.
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Answer:
Its D trust me
I got it right from the other person
The equation that passes through (3,6) and is perpendicular to 3x - 4y = - 2
a
y = - 4/3x + 3 1/3
b
y = - 3/4x + 10
c
y = - 4/3x + 10
d
y = 3/4x + 10
Answers
Answer:
C
Step-by-step explanation:
We want the equation of the line that passes through (3, 6) and is perpendicular to:
\(3x-4y=-2\)
First, convert the second equation into slope-intercept form:
\(-4y=-3x-2\Rightarrow \displaystyle y=\frac{3}{4}x+\frac{1}{2}\)
So, we can see that the slope of the line is 3/4.
The slopes of perpendicular lines are negative reciprocals of each other.
Therefore, the slope of the new line is -4/3.
It passes through the point (3, 6).
We can use the point-slope form:
\(y-y_1=m(x-x_1)\)
Substitute:
\(\displaystyle y-(6)=-\frac{4}{3}(x-3)\)
Distribute:
\(\displaystyle y-6=-\frac{4}{3}x+4\)
Therefore:
\(\displaystyle y=-\frac{4}{3}x+10\)
The answer is C.
Which represents the inverse of the function f(x) = 4x?h(x) = x + 4• h(x) = x-4h(x) = =xh(x) = )
Answers
The function we have is:
\(f(x)=4x\)The steps to find the inverse function are:
Step 1. Solve for x.
In this case, we solve for x by dividing both sides of the equation by 4:
\(\begin{gathered} \frac{f(x)}{4}=\frac{4x}{4} \\ \frac{f(x)}{4}=x \end{gathered}\)Step 2. Change f(x) for x, and x for the inverse function f^-1(x):
\(\frac{x}{4}=f^{-1}(x)\longrightarrow\text{inverse function}\)If we call this inverse function h(x) we get the result:
\(h(x)=\frac{x}{4}\)r is inversely proportionate to a
when r = 12 a = 1.5
work out the value of r when a = 5
work out the value of a when r = 9
Answers
Answer:
r = 3.6 , a = 2
Step-by-step explanation:
given that r is inversely proportional to a then the equation relating them is
r = \(\frac{k}{a}\) ← k is the constant of proportion
to find k use the condition when r = 12 , a = 1.5
12 = \(\frac{k}{1.5}\) ( multiply both sides by 1.5 )
18 = k
r = \(\frac{18}{a}\) ← equation of proportion
when a = 5 , then
r = \(\frac{18}{5}\) = 3.6
when r = 9 , then
9 = \(\frac{18}{a}\) ( multiply both sides by a )
9a = 18 ( divide both sides by 9 )
a = 2
Find the equation of the linear function represented by the table in slop intercept form
Answers
The equation of the linear function passing through the points in the table is y = -2x - 1.
What is the equation of the linear function?The slope-intercept form is expressed as;
y = mx + b
Where m is slope and b is the y-intercept.
Given the data in the table, we pick two points, (1,-3) and (2,-5).
First, we determine the slope:
\(m = \frac{y_2 - y_1}{x_2 - x_1} \\\\m = \frac{-5-(-3)}{2 - 1} \\\\m = \frac{-5+3}{2 - 1} \\\\m = \frac{-2}{1}\\ \\m = -2\)
Now, we choose one (1, -3) and slope m = -2, and substitute the values into the point-slope form equation:
y - y₁ = m( x - x₁ )
y - (-3) = -2( x - 1 )
Simplify
y + 3 = -2x + 2
y = -2x + 2 - 3
y = -2x - 1
Therefore, the linear function is y = -2x - 1.
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Al released his balloon from the 10-yard line, and it landed at the 16-yard line. If the ball reached a height of 27 yards, what equation represents the path of his toss?
Answers
The equation of the path of the parabola is y = a(x - 13)² + 27
Given data ,
To represent the path of Al's toss, we can assume that the path is a parabolic trajectory.
The equation of a parabola in vertex form is given by:
y = a(x - h)² + k
where (h, k) represents the vertex of the parabola
Now , the balloon was released from the 10-yard line and landed at the 16-yard line, we can determine the x-values for the vertex of the parabola.
The x-coordinate of the vertex is the average of the two x-values (10 and 16) where the balloon was released and landed:
h = (10 + 16) / 2 = 13
Since the height of the balloon reached 27 yards, we have the vertex point (13, 27)
Now, let's substitute the vertex coordinates (h, k) into the general equation:
y = a(x - 13)² + k
Substituting the vertex coordinates (13, 27)
y = a(x - 13)² + 27
To determine the value of 'a', we need another point on the parabolic path. Let's assume that the highest point reached by the balloon is the vertex (13, 27).
This means that the highest point (13, 27) lies on the parabola
Substituting the vertex coordinates (13, 27) into the equation
27 = a(13 - 13)² + 27
27 = a(0) + 27
27 = 27
Hence , the equation representing the path of Al's toss is y = a(x - 13)² + 27, where 'a' can be any real number
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given the vertex and a point on a given parabola, find the equation that represents this parabola in standard form. enter your answer in the form
Answers
Use the point to find the value of either a or p depending on the orientation of the parabola. Substitute the values of h, k, and a or p into the standard form equation of a parabola to get the equation of the parabola in standard form.
The main answer is:Assuming that the orientation of the parabola is upward, the equation of the parabola in standard form is (y - k) = a(x - h)². Given the vertex and a point on a parabola, the coordinates of the vertex are (h, k). Let the point on the parabola be (x₁, y₁).We have h, k, x₁, and y₁. Our next step is to find the value of a using the point (x₁, y₁). Since the orientation of the parabola is upward, the value of a is positive.
This distance is also equal to the distance between (x₁, y₁) and the directrix. Hence,d = |y₁ - p|, where p is the distance between the vertex and the directrix.Since the vertex is the midpoint between the focus and the directrix, then the distance between the vertex and the focus is also p. Therefore, 4p = |y₁ - k|². This is because the distance between the vertex and the focus is equal to four times the distance between the vertex and the directrix.
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