Answer:
x = 14
....................
Given f(x) = 3x-1 and g(x)=2x-3, for which value of x does g(x)=f(2)? Ox=3/2 Ox-2 Ox=5/2 Ox=4
====================================================
Work Shown:
First find f(2)
f(x) = 3x-1
f(2) = 3(2)-1 ... replace every x with 2
f(2) = 6-1
f(2) = 5
--------------
The equation g(x) = f(2) is the same as g(x) = 5 since f(2) = 5
g(x) = 2x-3
5 = 2x-3 .... replace g(x) with 5
2x-3 = 5
2x = 5+3 ... add 3 to both sides
2x = 8
x = 8/2 .... divide both sides by 2
x = 4
The value of x that satisfies the equation g(x) = f(2) is x = 4.
What is a function?A relation is a function if it has only One y-value for each x-value.
We are given two functions f(x) and g(x), and we need to find the value of x that satisfies g(x) = f(2).
We know that f(x) = 3x - 1, so f(2) = 3(2) - 1 = 5.
Therefore, we need to find the value of x that makes g(x) equal to 5.
Setting g(x) equal to 5, we get:
2x - 3 = 5
Add 3 to both sides.
2x = 8
Divide both sides by 2:
x = 4
Therefore, the value of x that satisfies the equation g(x) = f(2) is x = 4.
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Evaluate p^2-q.
When p=3 and q= -4
Hey there!
p^2 - q
= 3^2 - -4
= 9 - -4
= 9 + 4
= 13
Therefore, your answer is: 13
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
In a circle, a central angle of 2.5 radians intercepts an arc
of 15 inches. Find the area of the circle to the nearest tenth.
Answer:
19.63 in2
Step-by-step explanation:
2.5 squared is 6.25. Then you times it by 3.14 giving you 19.625 rounded to 19.63. Hope this helps!
im givin away points to anyone even people who just want poinnts and dont put the answers so pls just do my question:Use rounding to estimate the product.
22.1 × 4.61
80
110
88
100
Answer:
110
Step-by-step explanation:
Answer:
110
Step-by-step explanation:
PLEASE HELP!!!!!!!!!!!!!!!!!!!
Answer:
54
Step-by-step explanation:
A house-painting company charges $350 plus $15 per hour. Another company charges $275 plus $20 per hour. Write an equation that represents when both companies will cost the same amount.
How long will the job be when both companies charge the same amount?
Answer:
350 + 15x = 275 + 20x where x = 15
Step-by-step explanation:
350 + 15x = 275 + 20x
350 - 275 = 20x - 15x
75 = 5x
75/5 = 5x/5
15 = x
350 + 15(15) = 275 + 20(15)
350+225 = 275+300
575 = 575
Liz makes and sells necklaces. It costs her $40 for the supplie s to make 50 necklaces. How much must she sell each one for in order to make a profit of at least $250?
Using proportions, it is found that she must sell each necklace for at least $5.80 in order to make a profit of at least $250.
What is a proportion?A proportion is a fraction of a total amount
In this problem, it costs her $40 to make 50 necklaces. She wants a profit of at least $250, hence the 50 necklaces should sell for at least $250 + $40 = $290.
Hence, the minimum price for each one is given by:
$290/50 = $5.80.
She must sell each necklace for at least $5.80 in order to make a profit of at least $250.
More can be learned about proportions at https://brainly.com/question/24372153
during the first half of the year there were 54 students in the schools bicycling club. in the second half of the year the club had 68 members. find the percent of increase in club membership to the nearest whole percent
Answer:
To the nearest whole percent is 26%
Step-by-step explanation:
First half of the year = 54 students
Second half of the year = 68 members
find the percent of increase in club membership to the nearest whole percent ?
% increase in club membership = (new member - old member) / old member × 100
= (68 - 54) / 54 × 100
= 14 / 54 × 100
= 0.259 × 100
= 25.9 %
To the nearest whole percent is 26%
Will give brainliest, thanks, and 5 stars!
Please help me with this question and how I do it!
|| ▼ Answer ▼ ||
8 is correct!
|| ✪ Solution ✪ ||
[tex]g(x)=2x^{2}-8x+1[/tex]
Vertex of f(x) is:
[tex](x,y)=(2,1)[/tex]
Graph of g(x) is attached :
Vertex of g(x) is:
[tex](x,y)=(2,-7)[/tex]
Y- value of vertex f(x) subtract from Y-value of g(x)
[tex]=1-(-7)[/tex]
[tex]=1+7[/tex]
[tex]1+7=8[/tex]
Hope this Helps!
If you have any queries please ask.
Please HELP im begging anyone Question 6 options:
The Edwards family spends $800 per month on groceries for their family. If this is 18% of their monthly budget, then what is their monthly budget?
Round to the nearest cent (hundredths place).
I suck at math so like yeah and i really need this good grade please
Answer:
$444.44
Step-by-step explanation:
Let the monthly budget of Edward family be $x.
-> 18% of x = 800
-> 0.18x = 800
-> x = 800/0.18
-> x = 444.44
Thus, the monthly budget of Edward family is $444.44.
Ellie has been training for the Cedar Ridge Off-Road Race. The first week she trained, she ran 3 days and took the same two routes each day: 2. 5 miles on a path in the woods in the morning and a longer route at the park in the afternoon. By the end of the week, Ellie had run a total of 24 miles. Which equation can you use to find how many miles, x, Ellie ran each afternoon?
The distance that Ellie ran each afternoon is 5.5 miles for a whole week.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the distance that Ellie ran each afternoon, since she ran 24 miles, hence:
3(2.5 + x) = 24
7.5 + 3x = 24
x = 5.5 miles
The distance that Ellie ran each afternoon is 5.5 miles for a whole week.
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What is the slope of a line perpendicular to the line -2x + 9y = 8?
Answer:
-9/2
Step-by-step explanation:
To make a slope perpendicular, you must find the slope in a y = mx+b format where the slope is easy to find. Add 2x to the opposite side and then divide the entire right side of the equation by 9 to get y = 2/9x +8/9. A perpendicular slope is just a negative reciprocal of the slope, so make 2/9 negative and flip around the numerator and denominator to get a perpendicular slope of -9/2. Hope that helps!
What is an equation of the line that passes through the points (8, -5)(8,−5) and (8, -2)(8,−2)?
Answer:
This is undefined because the slope is 3/0, and you can't divide by 0
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
We start on the number -3 on the number line. Since the b > -3 is using the greater than sign, it is an open circle and since the inequality is pointing to the right, we can draw the arrow going to the right on the number line.
Step-by-step explanation:
[tex]\dfrac{ b }{ 3 } +1 > 0[/tex]
Multiply both sides of the equation by 3. Since 3 is positive, the inequality direction remains the same.
[tex]b+3 > 0[/tex]
Subtract 3 from both sides. Anything subtracted from zero turns into a negative number.
[tex]b+3-3 > 0-3[/tex]
Simplify
[tex]b > -3[/tex]
Now we need to graph it:
Inequalities can be shown on a number line. Open circles are used for numbers that are less than or greater than (< or >). Closed circles are used for numbers that are less than or equal to and greater than or equal to (≤ or ≥).
Symbol Meaning
> Greater than
> Greater than or equal to
< Less than
< Less than or equal to
We start on the number -3 on the number line. Since the b > -3 is using the greater than sign, it is an open circle and since the inequality is pointing to the right, we can draw the arrow going to the right on the number line.
Also look at the picture
Simplify cos(arctan-1)
Answer:
Step-by-step explanation:
Multiply the sum of sixteen and four and the difference of negative two and negative seventeen. Select the correct answer.
If PT=u and QS=u–28, what is the value of u?
Answer:
u = 56
Step-by-step explanation:
the midsegment QS is half the length of the third side PT , that is
QS = [tex]\frac{1}{2}[/tex] PT ( substitute values )
u - 28 = [tex]\frac{1}{2}[/tex] u ( multiply through by 2 to clear the fraction )
2u - 56 = u ( subtract u from both sides )
u - 56 = 0 ( add 56 to both sides )
u = 56
0.00000804 scientific notation
A triangle has an area of 40 square inches. It's base is written as (x + 2) and it's height is written as (x + 4). Calculate the value of x and be sure to check for any extraneous (excluded) value.
a line passes through the points ( -4,3) and (0,0). what is the slope of the line?
Answer:
The slope is -3/4 or -0.75
Step-by-step explanation:
You can solve this using the slope of a line formula:
[tex]m=\frac{rise}{run}=\frac{y_{2}-y_1 }{x_2-x_1}[/tex]
m = slope
[tex](x_1,y_1)[/tex] = coordinates of first point in the line
[tex](x_2,y_2)[/tex] = coordinates of second point in the line
Now all you have to do is plug your numbers in and solve!
The product of the digits of 3214 is 24. How many distinct four-digit positive integers are such that the product of their digits equals 12
Using the arrangements formula, it is found that there are 72 distinct four-digit positive integers are such that the product of their digits equals 12.
What is the arrangements formula?The number of possible arrangements of n elements is given by the factorial of n, that is:
[tex]A_n = n![/tex]
In this problem, considering that the numbers are arranged, we have that there are:
4! 4-digit numbers involving a six, a two and two ones that result in a product of 12.4! 4-digit numbers involving a four, a three and two ones that result in a product of 12.4! 4-digit numbers involving a three , two twos and a one that result in a product of 12.Hence:
T = 3 x 4! = 3 x 24 = 72.
There are 72 distinct four-digit positive integers are such that the product of their digits equals 12.
More can be learned about the arrangements formula at https://brainly.com/question/24648661
Swimming Pool On a certain hot summer's day. 445 people used the public swimming pool. The daily prices are $1.75 for children and $2.25 for adults. The receipts for admission totaled $945.75. How many children and how many adults swam at the public pool that day?
Answer:
170 kids
368 adults
Step-by-step explanation:
area of the shape.
PLEASE
Aubree makes $25 a week helping her mom with her siblings. She wants to buy a computer that cost $500. How many weeks will it take her to have enough money to buy the computer?
Answer:
20 weeks
Step-by-step explanation:
This question, luckily, can be solved with a very simple algebraic expression.
Let w = the amount of weeks.
[tex]25w = 500[/tex]
So from here, we need to divide both sides by 25 to get w by itself: [tex]w = 20[/tex]
Therefore, it will take Aubree 20 weeks to have enough money to buy the computer.
When the temperature stays the same, the volume of a gas is inversely proportional to the pressure of the gas. If a balloon is filled with 183 cubic inches of a gas at a pressure of 14 pounds per square inch, find the new pressure of the gas if the volume is decreased to 61 cubic inches
Answer:
42 pounds per square inches.
Step-by-step explanation:
The temperature stays the same, the volume of a gas is inversely proportional to the pressure of the gas.
⇒ [tex]V\propto \dfrac{1}{P}[/tex]
or
[tex]V_1P_1=V_2P_2[/tex]
Volume, V₁ = 183 cubic inches
Pressure, P₁ = 14 pounds/square inch
We need to find the new pressure if the volume is decreased to 61 cubic inches. Let P₂ is new pressure. So,
[tex]P_2=\dfrac{V_1P_1}{V_2}\\\\P_2=\dfrac{183\times 14}{61}\\\\P_2=42\ \text{pounds per square inch}[/tex]
Hence, the final pressure is 42 pounds per square inches.
The square below represents one whole.
What percent is represented by the shaded area?
Answer:
I think it is 13%
Step-by-step explanation:
I think this since there are 100 Square Units so if there are 13 shaded it would be [tex]\frac{13}{100}[/tex] which equals to 13%
IF THIS IS WRONG IM SOO SUPER DUPER VERY SORRY
what is yhe slope of a line parallel to the line whose equation is 15x-6y=54 fully simplify
Answer:
m = 5/2
Step-by-step explanation:
use the slope intercept form y = mx + b to find the slope which is m
hope this helps
have a great day- TJ
Slope of the line parallel to 15x - 6y = 64 is [tex]\frac{3}{2}[/tex]
What is slope of a line?
Slope of a line is the tangent of the angle which the line makes with the
positive direction of x axis
If [tex]\theta[/tex] is the angle which the line makes with the positive direction of x axis, then slope of the line is given by
[tex]m = tan\theta[/tex]
If the line passes through ([tex]x_1, y_1[/tex]) and ([tex]x_2, y_2[/tex])
slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Here,
[tex]15x - 6y = 64\\6y = 15x -64\\y = \frac{15}{6}x - \frac{64}{6}\\y = \frac{3}{2}x - \frac{32}{3}\\[/tex]
Slope of this line = [tex]\frac{3}{2}[/tex]
Slopes of two parallel lines are same
Slope of the line parallel to the above line = [tex]\frac{3}{2}[/tex]
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What is the answer? Please help I need it today.
Answer:
0.141 in³
explanation:
[tex]\sf \bold{volume \ of \ rectangular \ prism = length * width * height }[/tex]
using the formula:
[tex]\sf {volume \ of \ rectangular \ prism = \dfrac{1}{2} * \dfrac{3}{4} * \dfrac{3}{8} }[/tex]
[tex]\sf {volume \ of \ rectangular \ prism = \dfrac{9}{64} \ in^3[/tex]
[tex]\sf {volume \ of \ rectangular \ prism = 0.140625 \ in^3[/tex]
[tex]\sf {volume \ of \ rectangular \ prism = 0.141 \ in^3[/tex]
What is the answer someone help me?
solve for w: 3w + 4w = 14 simplify your answer as much as possible.
Answer:
W=2
Step-by-step explanation:
Let's solve your equation step-by-step.
3w+4w=14
Step 1: Simplify both sides of the equation.
3w+4w=14(3w+4w)=14
(Combine Like Terms)7w=14/7w=14
Step 2: Divide both sides by 7.
7w7=14/7
Your answer comes out at, w=2
If u need some more help just comment down below and ill try to help u some more:p