Answer:
[tex]\boxed {x = -19}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]3(-x - 3) + x - 3 = 26[/tex]
-Use Distributive Property:
[tex]3(-x - 3) + x - 3 = 26[/tex]
[tex]3(-x ) - 9 + x - 3 = 26[/tex]
-Combine both [tex]-9[/tex] and [tex]3[/tex]:
[tex]3(-x ) - 9 + x - 3 = 26[/tex]
[tex]3(-x ) - 12 + x = 26[/tex]
-Add [tex]12[/tex] to both sides:
[tex]3(-x ) - 12 + 12 + x = 26 + 12[/tex]
[tex]3(-x) + x = 38[/tex]
-Multiply the [tex]-1[/tex] by [tex]3[/tex]:
[tex]3(-x) + x = 38[/tex]
[tex]-3x + x = 38[/tex]
-Combine both the [tex]-3x[/tex] and [tex]x[/tex]:
[tex]-3x + x = 38[/tex]
[tex]-2x = 38[/tex]
-Divide both sides by [tex]-2[/tex]:
[tex]\frac{-2x}{-2} = \frac{38}{-2}[/tex]
[tex]\boxed {x = -19}[/tex]
Therefore, the value of [tex]x[/tex] is [tex]-19[/tex].
[tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]
______________________________
[tex]\bold{Solution~Steps:}[/tex]
When we have a problem with parenthesis we must use distributive property:
[tex]3[/tex] × [tex]-x-3[/tex]The [tex]3[/tex] cancels out, leaving [tex]-x[/tex]* [tex]3(-x)-9+x-3=26[/tex]
Subtract [tex]3[/tex] from [tex]-9[/tex]:
[tex]3-(-9)=-12[/tex]* [tex]3(-x)-12+x=26[/tex]
Add [tex]12[/tex] to both sides:
Since [tex]-12[/tex] is negative we do the opposite of what we see, so it cancels out. [tex]-12+12=[/tex] Cancels out[tex]26+12=38[/tex]* [tex]3(-x)+x=38[/tex]
Multiply [tex]3[/tex] and [tex]-1[/tex]:
In this case we have [tex]2[/tex] x's, so we need to get rid of one. We do this by turning [tex](-x)[/tex] into [tex]-1[/tex]. Then we multiply them together: [tex]3[/tex] × [tex]-1=-3[/tex]* [tex]-3x+x=38[/tex]
Combine like terms:
[tex]-3x+x=-2x[/tex]* [tex]-2x=38[/tex]
Divide to get [tex]x[/tex] alone:
Divide by [tex]-2[/tex] on each side by rule of opposites: [tex]-2x[/tex] ÷ [tex]-2=x[/tex] [tex]38[/tex] ÷ [tex]-2=-19[/tex][tex]\boxed{x=-19}[/tex]
______________________________
[tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~~~~-TotallyNotTrillex}[/tex]
Is 13/12 greater then 6/5?
Answer:
yes
Step-by-step explanation:
help with math question !!!
Answer:
The average rate of change of the function [tex]f(x)=x^2-2x-5[/tex] for interval [tex]-5\leq x\leq 6[/tex] is -1
Step-by-step explanation:
We are given function [tex]f(x)=x^2-2x-5[/tex] and we need to determine the average rate of change of the function for interval [tex]-5\leq x\leq 6[/tex]
The formula used to find average rate of change is: [tex]Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}[/tex]
We are given b=6 and a=-5
We need to find f(b) and f(a)
Finding f(b)
Putting x= 6 to find f(b)
[tex]f(x)=x^2-2x-5\\Put \ x=6\\f(6)=(6)^2-2(6)-5\\f(6)=36-12-5\\f(6)=19[/tex]
So, f(b)=19
Now finding f(a)
Putting x= -5 to find f(a)
[tex]f(x)=x^2-2x-5\\Put \ x=-5\\f(-5)=(-5)^2-2(-5)-5\\f(-5)=25+10-5\\f(-5)=30[/tex]
So, f(a)= 30
Finding average rate of change
[tex]Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}\\Average \ rate \ of \ change=\frac{19-30}{6-(-5)}\\Average \ rate \ of \ change=\frac{-11}{6+5}\\Average \ rate \ of \ change=\frac{-11}{11}\\Average \ rate \ of \ change=-1[/tex]
Average rate of change = -1
So, average rate of change of the function [tex]f(x)=x^2-2x-5[/tex] for interval [tex]-5\leq x\leq 6[/tex] is -1
Write three expressions that are equivalent to 2^6
Answer:
well 2^6 = 64 so 8x8, 32x2 and 16x4 would all be correct
2 points
Rheese bought a new car for $17.500. The value of the car is depreciating at a rate of 4.6%
each year. How much would the car be worth in 4 years?
$20,949.07
$79,515.07
$1,488.03
$14,495.44
$14,253.86
quation of the asymptote for the given
Doint
Given:
Initial value of new car = $17,500
Depreciation rate = 4.6%
To find:
The value of car after 4 years.
Solution:
The exponential decay model is
[tex]y=a(1-r)^t[/tex]
where, a is initial value, r is decreasing rate and t is time in years.
Substitute a=17500, r=0.046 and t=4 in the above equation.
[tex]y=17500(1-0.046)^4[/tex]
[tex]y=17500(0.954)^4[/tex]
[tex]y=17500(0.8283111)[/tex]
[tex]y=14495.44425[/tex]
[tex]y\approx 14495.44[/tex]
The value of car after 4 years is $14495.44.
Therefore, the correct option is D.
Find The Slope Of The Relationship
Answer:
[tex]m=4[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (10, 40)
Point (15, 60)
Step 2: Find slope m
Substitute: [tex]m=\frac{60-40}{15-10}[/tex]Subtract: [tex]m=\frac{20}{5}[/tex]Divide: [tex]m=4[/tex]Charlotte works in a calling center making appointments for a local lawn care service. She earns $40 each full workday plus an additional $2 for each appointment that she schedules. Today, Charlotte needs to earn at least $75. Write an inequality to describe this situation. In two or more complete sentences, describe the solution set of this inequality and what it means for Charlotte.
x = number of appointments
y = total amount earned in dollars
The total earnings equation is y = 2x+40
The 2x is from her earning $2 per appointment. If she makes x of them, then she earns 2x dollars. This is on top of the $40 from working the full day.
She wants to earn at least $75. This means she wants to earn $75 or more.
This means,
[tex]y \ge 75\\\\2x+40 \ge 75\\\\2x \ge 75-40\\\\2x \ge 35\\\\x \ge \frac{35}{2}\\\\x \ge 17.5[/tex]
Since x is the number of appointments, and we can't have a fractional number of appointments, we must round up to x = 18. This is the lowest number of appointments she can do and earn $75 or larger.
If x = 17, then
y = 2x+40 = 2*17+40 = 34+40 = 74
which is not 75 or larger
But if x = 18, then
y = 2x+40 = 2*18+40 = 36+40 = 76
which is larger than 75, so we've cleared the hurdle.
We can say the solution set is [tex]x \ge 18[/tex] where x is a whole number. So she could book x = 18, x = 19, x = 20, x = 21, etc as the number of appointments to reach her goal.
In summary, she must schedule at least 18 appointments to earn $75 or more.
Since she makes $2 for every appointment she makes we would need to use 40+2n so she would get $2 per appointment no matter how many appointments she makes. Also, we wouldn't use an equal sign because they didn't say she needed to earn exactly $75. They said she needed to earn "at least" $75. At least means equal to or greater than ≥. So the inequality would be 2n+40≥75. PRO TIP: Any time it asks you to write an inequality you will use either <, >, ≤, or ≥ not an =.An equation uses =, an inequality uses the other symbols
Solve:
10 -0.75x < 7
Please and thank you
Answer:
The answer is x<4
But the girl over me just did it for points
Answer:
x<4
Step-by-step explanation:
6x + -2 =16 solve for x
Answer:
3
Step-by-step explanation:
+2 =18
18/6 =3
Answer:
x=3
Step-by-step explanation:
Move all terms that don't contain
x
to the right side and solve.
What is the slope of the line that passes through the point (-8,-4) and (4,-4)
Answer:
(x1y1)= (-8,-4)
(x2y2)= (4,-4)
here
slope= (y2-y1)/ (x2-x1)
= 0/ 12
= 0
Step-by-step explanation:
0
What is the binary number for 20
10100 hope it helped!
PLEASE HELP WITH 19 AND 20, ONLY DESCRIBE THE TRANSFORMATIONS. I CAN GRAPH THEM. PLS HELP
Please help, I just started trig. Thanks!
Answer:
About 3.052 units
Step-by-step explanation:
I presume you won't need this explanation now, but just in case;
If we draw triangle MNK, as MN = NK we know is isosceles. Now let's draw an altitude to MK so that it splits MK into two congruent parts (5/2 = 2.5). Given M<N = 110 degrees the altitude would split the angle into two congruent angles as well (Coincidence Theorem)---- 110/2 = 55 degrees.
Now let's study the smaller triangles, and take one as an example. Remember sin(theta) = opp/hyp. Applying this we have theta as 55 degrees, the opposite side as 2.5, and the hypotenuse is yet to be found (MN);
sin(55°)= 2.5/MN,
x = 2.5/sin(55°) ≈3.052
PLEASE HELP!!!!!!!!!
Answer:
C. Graph C :)
Step-by-step explanation:
how do I work out this problem
sofia opens a new savings account with a 2.25% simple interest rate. She deposited $3500 and earned $3696.88 total by the time she checked the account again. How long was the money left untouched in the savings account?
A bird flies south. Its distance from its nest, as a function of time, is modeled by y=20x+1. Which statement best describes the function
Answer:the function is linear
Step-by-step explanation:
Answer:
it linear
Step-by-step explanation:
AP3X verified
A number increased by 5
Answer:
if number was represented by x it would be x+5
Step-by-step explanation:
Roger owes his father $15. He borrows another $25 from him. What integer represents the balance that he owes his father?
The integer -40 represents the balance that he owes his father if Roger owes his father $15. He borrows another $25 from him.
What is an integer?it is defined as the whole number it can be a negative whole number or a positive whole number for example 2, 4, 1, -8, 0, etc.
It is given that:
Roger owes his father $15. He borrows another $25 from him.
As we know, the number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.
The amount Roger owes = $15
Roger borrows = $25
Total debt = -15 + (-25)
Total debt = -$40
The above integer represents the balance that he owes his father.
Thus, the integer -40 represents the balance that he owes his father if Roger owes his father $15. He borrows another $25 from him.
Learn more about the integer here:
https://brainly.com/question/15276410
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Find three different integer solutions to the equation -3x-y=-1
Answer:
The integers are -3, x, and -y
Step-by-step explanation:
Help ? On this question and show me your working out so I know
Answer:
27.5 hr
Step-by-step explanation:
220÷8=27.5
jacob’s graduation party costs $22.50 for decorations, plus an additional $5.50 for each attendee. At most, how many attendees can there be if Jacob budgets a total of $50 for his graduation party? Write an equation, solve, and justify your steps. Show your work.
Answer:
28.00 and yes he is still in his budget
Step-by-step explanation:
22.50
5.50
............
28.00
Answer:
Jacob can have up to 5 guests at his graduation party because 50 - 22.50 is 27.50 and 27.50/5.50 is 5.
Step-by-step explanation:
To start off you would subtract 22.50 from 50 leaving you with 27.50. From there you would account for the number of attendees. Since 27.50/5.50 equals 5 the maximum amount of guests Jacob can have at his graduation party is 5.
QUICK WILL MARK BRAINLIEST!!!
Jack was working on shooting free throws the ratio of the number of baskets made to the number of baskets missed was 10:6. Select ALL equivalent that represent the number of baskets jack made to the number of baskets jack missed
Answer:
The Second, Fourth, and Fifth points on the graph
Finn, Jeff, Kevin
Step-by-step explanation:
hopefully this helped, if not HMU and I will get a better answer
What is the value of this expression? Select all that apply (8.59 x 10^4) - (3.2 x 10^3)
Answer:
A. 8.27*10^4
D. 82,700
Step-by-step explanation:
Find the total area of the shaded region in the composite figure, round to the nearest tenth.
Answer:
all my answers are in the comments btw
Step-by-step explanation:
Two one third plus six three fifths
the following two triangles are congruent. Select the correct statement for the correct corresponding part that must be congruent.
Answer:
You are correct.
Step-by-step explanation:
y and j are the vertexes. Given that M and S are the corresponding parts of the 2 triangles, I would say you picked the right answer. But the question is ambiguous and there might be some hidden meaning why this is wrong. The reason might not stand up in a court of law, but instructors do hold the gun at your head.
Curse at it and move on.
Pick an Dessert for every single day?
Answer:
I don't know what to pick! both look sooooo yummy =P. If i had to chosse i would pick the second one.
Step-by-step explanation:
Which answer choice shows 38.412 rounded to the nearest half?
A. 38
B. 38.5
C. 39
D. 39.5
Answer:
A
Step-by-step explanation:
when u see all the numbers after the point they all are not equal to or > 5 so we don't add any number.
2. Write an algebraic
expression to represent
two less than a
Answer:
a-2
Step-by-step explanation:
Please help will mark brainliest if correct
Answer:
Step-by-step explanation:
The triangles can not be proven congruent.
We have AAA theorem ⇒ given triangles are similar for sure.
The parabola LaTeX: f\left(x\right)=x^2f ( x ) = x 2 was translated up by 4 units.
What is the function rule for the new transformed parabola LaTeX: g\left(x\right)g ( x )?
Group of answer choices
LaTeX: g\left(x\right)=4x^2 g ( x ) = 4 x 2
LaTeX: g\left(x\right)=\left(x+4\right)^2 g ( x ) = ( x + 4 ) 2
LaTeX: g\left(x\right)=x^2+4 g ( x ) = x 2 + 4
LaTeX: g\left(x\right)=\left(x-4\right)^2 g ( x ) = ( x − 4 ) 2
Answer:
C. g(x) = x²+4
Step-by-step explanation:
Given the parabola function f(x) = x²
Translating the function up by 4 means adding the constant value of +4 to the function since it's translated along the positive y axis. The resulting function g(x) will be x²+4
Hence the correct answer is g(x) = x²+4. Option C is correct.