Answer:
x = 30
Infinite Solutions
No Solutions
Step-by-step explanation:
First, combine like terms
Then move all variable to one side and isolate them by undoing the action being done to them
Example 1:
6x + 4x - 6 = 24 + 9x
10x - 6 = 24 + 9x
-9x -9x
x - 6 = 24
+6 +6
x = 30
Example 2:
25 - 4x = 15 - 3x + 10 -x
25 - 4x = 25 - 4x
Since they are the same on both sides, this equation has Infinite Solutions
Example 3:
4x + 8 = 2x + 7 + 2x -20
4x + 8 = 4x - 13
-4x -4x
8 = -13
This statement is untrue, therefore this equation has No Solution
evaluate and solve: y + 3 = –y + 9
The value of y is 3.
Answer:
Solution given;
: y + 3 = –y + 9
add +y on both term
y+y+3=-y+y+9
subtract both side by 3
2y+3-3=9-3
2y=6
divide both side by 2
2y/2=6/2
y=3
Answer:
y = 3
Step-by-step explanation:
y + 3 = –y + 9
Add y to each side
y+y + 3 = –y +y+ 9
2y +3 = 9
Subtract 3 from each side
2y+3-3 = 9-3
2y = 6
Divide by 2
2y/2 = 6/2
y = 3
Find the solution to the system of equation -x + y = 3 and x - 2y = 5.
Answer:
Step-by-step explanation:
[tex]\displaystyle\ \large \boldsymbol{} +\left \{ {{-x+y=3} \atop { \ \ x-2y=5}} \right. => \\\\\\x \!\!\!\!\diagup-x\!\!\!\!\diagup-2y+y=5+3\\\\-y=8\\\\ y=-8\ ; \ x=-11[/tex]
pls help its timed no fake answers i cant afford to fail
Answer:
It's B, I tried using mathaway and that's the closest to the answer I got. Try it. I always use mathaway for any math problems, use that for now on if you're stuck
Step-by-step explanation:
The millage rate is the amount of property tax per $1000 of the taxable value of a home. For a certain county the millage rate is 29 mil. A city within the county also imposes a flat fee of $101 per home. a. Write a function representing the total amount of property tax T(x) for a home with a taxable value of x thousand dollars. b. Write an equation for T-1(x). c. What does the inverse function represent in the context of this problem
Answer:
(a) [tex]T(x) = 101 + 0.029 x[/tex]
(b) [tex]T^{-1}(x) = \frac{1000(x - 101)}{29}[/tex]
(c) See explanation
Step-by-step explanation:
[tex]T(x) = 172 + \frac{29}{1000}x[/tex]
Given
[tex]Flat = 101[/tex]
[tex]Rate = 29\ per\ 1000[/tex]
Solving (a): The function for total amount
This is calculated as:
[tex]T(x) = Flat + Rate * x[/tex]
Where:
[tex]x \to[/tex] taxable value
So, we have:
[tex]T(x) = 101 + \frac{29}{1000} * x[/tex]
[tex]T(x) = 101 + 0.029 * x[/tex]
[tex]T(x) = 101 + 0.029 x[/tex]
Solving (b): The inverse function
[tex]T(x) = 101 + 0.029 x[/tex]
Rewrite as:
[tex]y = 101 + 0.029x[/tex]
Swap the variables
[tex]x = 101 + 0.029y[/tex]
Make y the subject
[tex]0.029y = x - 101[/tex]
Divide by 0.029
[tex]y = \frac{x - 101}{0.029}[/tex]
Multiply by 1000/1000
[tex]y = \frac{1000(x - 101)}{29}[/tex]
Replace y with the inverse function
[tex]T^{-1}(x) = \frac{1000(x - 101)}{29}[/tex]
Solving (c): Interpret (b)
The inverse function, in this case; is the taxable value calculated from the amount of property tax
Match each equation with its solution.
Answer:
1. x = -2 , 3
2. x = - 1, 5
3. -1, 6/5
4. - 0/3, 1.3
Step-by-step explanation:
1.
[tex]ln(x+5)=ln(x-1)+ln(x+1)\\\\x+ 5 = (x-1)(x+1)\\\\x + 5 = x^2 - 1\\\\x^2 - x - 6 = 0 \\\\x^2 - 3 x + 2 x - 6 =0 \\\\x(x-3)+2(x-3)=0\\\\x = -2 and 3[/tex]
2.
[tex]e^{x^{2}}=e^{4x +5}\\\\x^2 - 4x - 5 = 0 \\\\x^2 - 5x + x - 5 = 0 \\\\x (x-5)+1 (x-5)=0\\\\x = -1 and 5[/tex]
3.
[tex]log_{4}(5x^2 +2)=log_{4}(x +8)\\\\5x^2 - x - 6 = 0 \\\\5 x^2 - 6 x + 5x- 6 = 0 \\\\5 x (x + 1)-6(x+1)=0\\\\x = -1 and \frac{6}{5}[/tex]
4.
[tex]log(x-1)+log 5x = 2\\\\5 x (x-1) =2 \\\\5x^2 - 5x -2 = 0 \\\\x = \frac{5\pm\sqrt{25+40}}{10}\\\\x = \frac{5\pm 8}{10}\\\\x = 1.3, - 0.3[/tex]
What rays are part of line BE?
Answer:
B. ray AB and ray AE
Step-by-step explanation:
Line BE is connected at three points, B, A, and E.
The rays that are part of line BE as shown in the diagram run across these three points. Thus, ray AB connects to Ray AE at point A, to form line BE.
Ray AB and ray AE are therefore parts of line BE.
Find the value of x.
Answer:
6
Step-by-step explanation:
We can find the value x using Euclidian theorem
x^2 = 3*12
x^2 = 36
x = 6
YOULL BE SO AWESOME IF YOU ANSWERRRRRR PLSSS
Answer:
It is the first option: The sum of 4 tens and 9 tens is 13 tens, which is regrouped as 1 hundred and 3 tens.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
just logic
I only need help with the top one
Answer:
[tex]x^{2} - 3x - 28[/tex]
Step-by-step explanation:
Step 1: Foil out the expression
[tex](x + 4)(x - 7)[/tex]
[tex](x * x) + (x * -7) + (4 * x) + (4 * -7)[/tex]
[tex](x^{2}) + (-7x) + (4x) + (-28)[/tex]
[tex]x^{2} - 3x - 28[/tex]
Answer: [tex]x^{2} - 3x - 28[/tex]
Write the equation for a parabola with a focus at (-3,-5)(−3,−5)left parenthesis, minus, 3, comma, minus, 5, right parenthesis and a directrix at x=-7x=−7x, equals, minus, 7.
Answer:
(y + 5)² = -16(x + 5)
Step-by-step explanation:
We are told the focus is at (-3, -5)
Directrix is at x = -7
This is a horizontal parabola and thus the general equation is;
(y - k)² = -4p(x - h)
Where;
(h, x) is the coordinate of the vertex.
The axis where the point where the axis of symmetry meets the directrix is at; (-7, -5) since directrix is at x = -7
Thus, coordinates of vertex is;
(-7 + (-3))/2, (-5 + (-5))/2
> (-5, -5)
Thus, equation is;
(y - (-5))² = -4p(x - (-5))
(y + 5)² = -4p(x + 5)
Where p is the distance from vertex to directrix. Thus;
p = -(-7 - (-3))
p = -(-7 + 3)
p = 4
Thus;
(y + 5)² = -4(4)(x + 5)
(y + 5)² = -16(x + 5)
Answer:
(y + 5)² = -16(x + 5)
Step-by-step explanation:
The sets A and L are given below.
A = (a, b, e}
L={c, k,j}
Find the intersection of A and L.
Find the union of A and L.
Write your answer using notation (in roster form)
Answer:
A n L = null (0)
A U L = a,b,e,c,k,j
the ratio of blue to red counters is 5:2 the ratio of red the green counters is 8:3 there are 30 green counters. how many blue?
PLS HELP
Answer:
3:1
Step-by-step explanation:
Answer:
200 blue
Step-by-step explanation:
8:3 = 80:30 (red to green)
blue: red
5 :2
*40
200:80
Help Please Now!!!!
Find The Surface Area Of The Prism
Answer:
190cm²
Step-by-step explanation:
there is 2 types of sides on this. the top and bottom are the same, the front, back, left, and right are the same.
We first calculate the surface area of the top and bottom.
5x5=25
now we multiply that by 2 because the top and bottom are the same
25x2=50
now we look at the remaining 4 sides. the sides on these are 7 and 5 so we do
7×5=35
since we have 4 sides, we multiply the answer by 4
4×35=140
we add the sums together
140+50=190cm²
Answer:
190 cm^2
Step-by-step explanation:
The formula for the surface area of a rectangular prism is:
2 (lw + hl + hw)
Use the formula with the given dimensions of the prism:
2 (5 x 5) + (7 x 5) + (7 x 5)
= 2 (25 + 35 + 35)
= 2 (95)
= 190
So the SA of the rectangular prism is 190 cm^2
The two dot plots below show the heights of some sixth graders and some seventh graders: The mean absolute deviation (MAD) for the first set of data is 1.2 and the MAD for the second set of data is 1.7. Approximately how many times the variability in the heights of the sixth graders is the variability in the heights of the seventh graders
Answer:
The number of times the variability in the heights of the sixth graders is the variability in the heights of the seventh graders is approximately 1.4
Step-by-step explanation:
From the question, the mean absolute deviation (MAD) of the sixth graders = 1.2 and that of the seventh graders = 1.7
The variability in the heights of the sixth graders = 1.2
The variability in the heights of the seventh graders = 1.7
To calculate how many times the variability in the heights of the sixth graders is the variability in the heights of the seventh graders, we will divide the variability of the seventh graders by the variability of the sixth graders
That is, 1.7/ 1.2 = 1.4167 ≅ 1.4
Hence, the number of times the variability in the heights of the sixth graders is the variability in the heights of the seventh graders is approximately 1.4
plsssss helpp in the next 2 min gives 10 points
Answer:
The answer is 144,5
Step-by-step explanation:
144,5/170×100 =85%
In a class test, (+2) marks were given for every correct answer and (–1) mark was
deducted for every incorrect answer. Rashmi answered all the questions and scored 30
marks. She gave 20 correct answers. Jashpal also answered a few questions and scored
–10 marks. He gave 5 correct answers. How many questions did Rashmi and Jashpal
attempt incorrectly?
Answer:
Rashmi attempted 10 questions incorrectly while Jashpal attempted 20 questions incorrectly
Step-by-step explanation:
Marks awarded for each correct answers = +2
Marks deducted each incorrect answer = -1
The number of questions Rashmi answered = All the question
Rashmi's score = 30
The correct answers Rashmi gave = 20
The number of questions Jashpal answered = A few questions
Jaspal's score = -10 marks
The number of correct questions Jashpal answered = 5
Let x represent the number of incorrect questions, for Rashmi, we have;
20×2 + x × (-1) = 30
x = 20×2 - 30 = 10
The number of questions Rasmi attempted incorrectly, x = 10
The number of questions Jashpal attempted incorrectly is given as follows;
5×2 + x × (-1) = -10
∴ 10 - x = -10
x = 10 + 10 = 20
The number of questions Jashpal attempted incorrectly, x = 20.
13. Calculate the standard deviation of the set of data to two decimal places. Refer to the previous problems.
{1,2,4,4,5,6,6,}
A. 1.77
B. 0.14
C. 7
D. 3.14
E. 22
Answer:
A: 1.77
Step-by-step explanation:
A cab company changes a 3$ flat rate addition to $1.50 per mile what is the y Intercept?
The y intercept would be the minimum amount charged, which would be the flat rate of $3
Answer: the y-intercept is 3
How many crores are there in 20 million?
Answer:
2
Step-by-step explanation:
please answer the question below! first to answer correctly, I will mark as brainliest.
The probability of not winning would be :
1 - probability of winning
This is written as:
1 - n/n+3
Now to simplify as a single fraction rewrite as:
N+3/n+3 - n/n+3
Simplify to get : 3/n+3
A salesman, after deducting his commission of
6%, remits $2491 to his company. The gross
amount of the sale amounted to
(A)$2809
(B) $2650
(C) $2640
(D) $2341.54
Answer:
(C) $2640
Step-by-step explanation:
2491 x 0.06 = 149.46
2491 + 149.46 = 2640.46
what is 11/12 divide 1/3
no simplify
please help i need to pass summer school
Answer:
2.75
Step-by-step explanation:
(11/12) / (1/3) = 2.75
Answer:
the answer is: 11/4
PLEASE HELP!!!
The distance d of a particle moving in a straight line is given by d(t) = 2t^3 + 5t – 2, where t is given in seconds and d is measured in meters.
Find the velocity of the particle for t = 7 seconds.
A) 152 m/s
B) 47 m/s
C) 733 m/s
D) 299 m/s
Answer:
The derivative of the position function gives the velocity function
2 t^3 + 5 t -2 derivative = 6 t^2 + 5
what is the slope of a line perpendicular to y=-(7)/(4)x
Answer: 4/7
This is because the original line has slope -7/4. We flip the fraction and the sign, ie take the negative reciprocal, to get the perpendicular slope.
Flipping the fraction goes from -7/4 to -4/7. Then it flips to positive to get 4/7
Notice that multiplying the original and perpendicular slopes together gets us -1
(-7/4)*(4/7) = -1
This applies to any pair of perpendicular lines as long as neither line is vertical and neither is horizontal.
Answer:
[tex]\frac{4}{7}[/tex]
Step-by-step explanation:
Given
y = - [tex]\frac{7}{4}[/tex] x ( in the form y = mx , where m is the slope )
slope m = - [tex]\frac{7}{4}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{7}{4} }[/tex] = [tex]\frac{4}{7}[/tex]
Explain two ways that 3-Dimensional and 2-Dimensional objects are connected.
Find BD , given that line AB is the angle bisector of
Answer:
BD = 10
Step-by-step explanation:
THEY ARE EQUAL
BECAUSE LINE AB IS THE ANGLE BISECTOR
Using a deck of 52 playing cards, what are the odds in favor of drawing a Jack or 10?
(4x²y³ + 2xy² – 2y) – (–7x²y³ + 6xy² – 2y)
Find the difference of polynomials ?
half past 9:00p.m. what is half past of 9:00p.m.
Answer:
The answer is 9:30 pm :D.
How many solutions does it have? Pls help
Answer:
2 solutions
i hope this will help you
