Answer:
We can find an expression equivalent to the one given by expanding the expression given,
[tex](x + 9)(x - 2) - 9x - 6\\x^2-2x+9x-18-9x-6\\x^2-2x-24[/tex]
So [tex]x^2-2x-24[/tex] is a possible expression.
The required expression equivalent to (x + 9)(x - 2) - 9x - 6 is (x + 4)(x - 6).
Given that,
(x + 9)(x - 2) - 9x - 6, an equivalent expression is to be determined.
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
= (x + 9)(x - 2) - 9x - 6
= x² + 9x -2x -18 - 9x - 6
= x² - 2x - 24
= x² -6x + 4x - 24
= x (x - 6) + 4 (x - 6)
= (x + 4)(x - 6)
Thus, the required expression equivalent to (x + 9)(x - 2) - 9x - 6 is (x + 4)(x - 6).
learn more about function here:
brainly.com/question/21145944
#SPJ2
Use the drop-downs to identify the domain and range of the following relation.
{(4, -7), (0, 6), (5,-3), (5, 2)}
What is the domain of this relation?
What is the range of this relation?
Answer:
Domain ( -4,0, 5) Range ( -7, -3, 2, 6)
Step-by-step explanation:
The domain and range of the given relation {(4, -7), (0, 6), (5,-3), (5, 2)}
is:
Domain = { 4, 0, 5, 5 }
Range = { -7, 6, -3, 2 }
Given,
{(4, -7), (0, 6), (5,-3), (5, 2)}
We need to find what is the domain and range of this relation.
What are the domain and range of a function?A function has an input and an output.
Example: f(x) = x + 4
Now,
x = 1, 2, 3
f(1) = 1 + 4 = 5
f(2) = 2 + 4 = 6
f(3) = 3 + 4 = 7
Here,
Domain = 1, 2, 3
Range = f(1), f(2), f(3) = 5, 6, 7
We can also write it as { (1,5), (2,6), (3,7)}
Find the relation.
(4, -7)
Here,
domain = 4 and range = -7
(0, 6)
domain = 0 and range = 6
(5,-3)
domain = 5 and range = -3
(5, 2)
domain = 5 and range = 2
Find the domain and range of {(4, -7), (0, 6), (5,-3), (5, 2)}.
Domain = { 4, 0, 5, 5 }
Range = { -7, 6, -3, 2 }
Thus the domain and range of the given relation {(4, -7), (0, 6), (5,-3), (5, 2)}
is:
Domain = { 4, 0, 5, 5 }
Range = { -7, 6, -3, 2 }
Learn more about the domain and range of a function here:
https://brainly.com/question/28135761
#SPJ2
If you are buying at item at a store for a price of $19, and there is a
5.6% tax added on top, what would be the total amount due at the
register, to the nearest cent?
Answer:
20.05 or 20.06
Step-by-step explanation:
19 x .056
1.064 = 1.06 or 1.05
The dimensions of various-sized mirrors are created using the expression 0.5x – 2 for the width and 2x + 2 for the length. The function A(x) = x2 – 3x – 4 represents the area of the mirrors. The maximum length of the mirrors is 52 centimeters.
How do the mathematical domain and reasonable domain compare?
a.) mathematical: {x E R} reasonable: {x > 0}
b.) mathematical: {x E R} reasonable: {x > 4}
c.) mathematical: {x > 1.5} reasonable: {x > 0}
d.) mathematical: {x > 1.5} reasonable: {x > 4}
Answer:
b all real numbers x>4
Step-by-step explanation:
edg answer
(GIVING BRANLIEST) What is 18x+2x?
Steps to solve:
18x + 2x
~Combine like terms
20x
Best of Luck!
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{20x}}}}}[/tex]
Step-by-step explanation:
For the addition and subtraction of expression, like terms are added or subtracted as per the signs given and unlike terms are kept as they are. The sum or difference of like terms give another term in which it's coefficient is sum or difference of their coefficient.
Let's solve
[tex] \sf{18x + 2x}[/tex]
Collect like terms. Add : 18x and 2x
[tex] \dashrightarrow{ \sf{20x}}[/tex]
Hope I helped!
Best regards! :D
Find the midpoint of the segment with the following endpoints.
(4,2) and (7,6)
Answer:
The answer is
[tex]( \frac{11}{2} \: , \: 4)[/tex]Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(4,2) and (7,6)
The midpoint is
[tex]M = ( \frac{4 + 7}{2} \: , \: \frac{2 + 6}{2} ) \\ = ( \frac{11}{2} \: , \: \frac{8}{2} )[/tex]
We have the final answer as
[tex]( \frac{11}{2} \: , \: 4)[/tex]
Hope this helps you
Find the distance between the points.
(6,11) and (6,5)
please show work and how
Answer:
He can buy up to 20 tickets (ie 20 tickets or less)
The equation is 10+3.25x+5 = 80
========================================================
Explanation:
10 = admission cost
3.25 = cost per ticket
x = number of tickets
3.25x = cost from buying x number of tickets
5 = cost of nachos & coke
10+3.25x+5 = total cost of admission, tickets, and food/drink
10+3.25x+5 = 80 since this is the amount he has in his pocket
---------------
Let's solve for x
10+3.25x+5 = 80
3.25x+15 = 80
3.25x = 80-15 .... subtract 15 from both sides
3.25x = 65
x = 65/3.25 ........ divide both sides by 3.25
x = 20
Billy can buy up to 20 tickets (ie 20 tickets or less).
The question is in the picture, please help.
Answer:
b c and f edit: also A
Step-by-step explanation:
just gotta find what is reflexive
ya+yv=t What is the solution for y
Answer:
y = [tex]\frac{t}{a+v}[/tex]
Step-by-step explanation:
Given
ya + yv = t ← factor out y from each term on the left side
y(a + v) = t ( divide both sides by a + v )
y = [tex]\frac{t}{a+v}[/tex]
Answer: y = yah
Step-by-step explanation:
HELP ASAP Write an equation for a line that satisfies the given conditions which are through (9,5); slope 0
Answer:5=0+9
Step-by-step explanation:
2. Kiara baked 30 oatmeal cookies and 48 chocolate chip cookies to package in plastic containers for her friends at school. She wants to divide the cookies into identical containers so that each container has the same number of each kind of cookie. If she wants each container to have the greatest number of cookies possible, how many plastic containers does she need?
Answer:
you find the gcf/ greatest common factor of both numbers which is 6, so 6 plastic containers
Step-by-step explanation:
f(x)=2x-5 find the inverse
Answer:
1/2x+5/2
Step-by-step explanation:
1. Change f(x) to y
y = 2x – 5
2. Switch x and y.
x = 2y – 5
3. Solve for y by adding 5 to each side and then dividing each
side by 2.
x+5=2y
4. Change y back to f^-1(x)... in other words the inverse
f^-1(x)=(x+5)/2
= 1/2x+5/2
Step-by-step explanation:
y=f-1(x)=1/2(x+5)
explanation: write y equals 2x - 5 and now interchange X and Y it becomes x equals 2y - 5
now solve for y equals F -1 (x) equals 1/2(x + 5)
g(x)= (x + 5) / (2)
is the inverse function of F (x)= 2x - 5
Given f(x) = 4x - 3 and g(x) = 7x +5, find f(x) + g(x).
Answer:
Given f(x) = 2x + 3 and g(x) = –x2 + 5, find (g o f )(x).
(g o f )(x) = g( f(x))
= g(2x + 3)
= –( )2 + 5 ... setting up to insert the input
= –(2x + 3)2 + 5
= –(4x2 + 12x + 9) + 5
= –4x2 – 12x – 9 + 5
= –4x2 – 12x – 4
Step-by-step explanation:
Answer:
11x +2Step-by-step explanation:
[tex]f(x) = 4x - 3 \\g(x) = 7x +5\\\\f(x)+g(x) = \\\\4x-3 +(7x +5)\\\\=4x-3+7x+5\\\\=4x+7x-3+5\\\\=11x-3+5\\\\=11x+2[/tex]
Find the area of a right triangle with a base length of 30 units and a height of 24 units
Answer:
360
Step-by-step explanation:
Area= 1/2 ( 30)(24)
Area = 360
how do you find the slope and the y-intercept of y=6x-12
Answer:
Slope = 6, y-intercept = -12.
Step-by-step explanation:
Slope is the coefficient of the x-term, which is 6 in this case.
The y intercept is the constant term that comes after the x-term, which is -12.
hugo received $100 for his bithday. He then saved $20 per week until he had a total of $460 to buy a printer. Use the equation to show how many weeks it took him to save the money.
Answer:
18 weeks
Step-by-step explanation:
So, Hugo received $100 for his birthday.
He saved $20 per week. Let x denote the weeks that passed. Therefore:
[tex]y=100+20x[/tex]
This equation represents the total money y Hugo has after x weeks.
The printer cost $460. Thus, set y to $460:
[tex]460=100+20x[/tex]
Solve for x.
Subtract 100 from both sides:
[tex]360=20x[/tex]
Divide both sides by 20:
[tex]x=18[/tex]
Therefore, it took Hugo 18 weeks to save up $460.
Solve for x. 2(-5x-10)=-60
Answer:
x=4
Step-by-step explanation:
what type of transformation does shape A undergo to form shape B?
A. a reflection across the x-axis
B. a translation 3 units right and 1 unit down
C. a 90° counter clockwise rotation
D. a 90° clockwise rotation
a 90° clockwise rotation
Answer:it’s A 90 clockwise rotation
Step-by-step explanation:
Haley has 16 waking hours each day to divide between working and relaxing. She currently has a job working at Chipotle, where she earns $10 per hour. For Haley, the opportunity cost of spending 1 hour of relaxing
Answer:10
Step-by-step explanation:
I would say 10 because she is sacrificing that 1 hour of pay
Nick walked 3/4of a mie in 12
minutes. How long would it take
him to walk three mies at this
pace?
Answer:48
Step-by-step explanation:
Tyra buys 14 gallons of gas for $35. How could she figure out how much 1 gallon of gas cost
Answer:
The cost of 1 gallon is $2.5
Step-by-step explanation:
Given
Cost of 14 gallons = $35
Required
Determine the cost of 1 gallon
From the given parameters, we have:
[tex]14\ gallons = \$35[/tex]
Divide both sides by 14
[tex]\frac{14\ gallons}{14} = \frac{\$35}{14}[/tex]
[tex]1\ gallon = \frac{\$35}{14}[/tex]
[tex]1\ gallon = \$2.5[/tex]
Hence,
The cost of 1 gallon is $2.5
What is the value of |-7 |?
Answer:
7
Step-by-step explanation:
3/5 + -1/3 =
help qwq
Answer:
the answer is
3/5-1/3=4/15
Find the value of x in the triangle shown below.
x=
Answer:
x = 61°
Step-by-step explanation:
From the image, we can see that we have an isosceles triangle.
We know that the other 2 angles will be equivalent to each other.
We also know that the sum of angles in a triangle adds up to 180°.
Step 1: Set up equation
58 + x + x = 180
Step 2: Solve
58 + 2x = 180
2x = 122
x = 61°
Please help it’s due tomorrow and I really don’t want to fail please
If the triangles are similar, that means their side to side ratios will be the same.
For example, we are given the side lengths 6 and 9 to corresponding sides.
Meaning that the side to side ratios are 6:9, or 2:3.
Using this, we can find the missing side length value.
58:x = 2:3
[tex]\frac{58}{x}=\frac{2}{3}[/tex]
[tex]2x=174[/tex]
[tex]x=87[/tex]
The missing side length is 87.
Hope this helps.
頑張って!
Find the distance represented by 4.9 inches if 1 inch = 50 miles.
O A. 4.9 miles
B. 49 miles
C. 209 miles
OD. 245 miles
O E. none of these
Answer:
E. none of these
Step-by-step explanation:
4.9 inches = 7.73359e-5 miles
please help!!!! D:
(word problem grade 7-8)
Answer:
1
Step-by-step explanation:
To solve this, first, take 22 minutes and divide it by 60 minutes, which is the number of minutes in an hour. Then, add two to the value, and multiply it by six square meters per hour, which is the rate that David can paint the wall. From there, you get 14.2 square meters which he painted in 2 hours and 22 minutes. Divide 14.2 square meters by the length of 11 meters to get 1.290 meters. Since they asked you to round to the nearest meter, you get 1 meter.
Does anyone know the answer
raina wants to save $900 to buy TV she save $17 each week the amount A (in dollars) that she still needs after W weeks is given by the following function
Answer:
a 19
b 798 dollars
Step-by-step explanation:
a you just plug in a random nuber in
b all you have to do is plug 6 for x
900-17(6)=798
During a huge snowstorm in the White Mountains last year, it snowed 300 centimeters in one week. How much did it snow in meters?
Answer:
3 Meters
Step-by-step explanation:
100 centimeters is equal to 1 meter
300/100=3
or
300 centimeters divided by 100 centimeters (for ever meter) is 3