Answer:
x∈{-1, 8}Step-by-step explanation:
[tex]\log_2x +\log_2(x-7) = 3\\\\\log_2[x\cdot(x-7)]= 3\log_22\\\\\log_2(x^2-7x)= \log_22^3\\\\x^2-7x=2^3\\\\x^2-7x-8=0\quad\implies \quad a=1\,,\ \ b=-7\,,\ \ c=-8 \\\\x=\dfrac{-(-7)\pm\sqrt{(-7)^2-4\cdot1\cdot(-8)}}{2\cdot1}= \dfrac{7\pm\sqrt{49+32}}{2} =\dfrac{7\pm\sqrt{81}}{2}\\\\x=\dfrac{7+9}2=8\qquad\vee\qquad x=\dfrac{7-9}2=-1[/tex]
which value of x is the solution set of 2(3x-1)≥4x-6
Answer:
-1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define
2(3x - 1) ≥ 4x - 6
Step 2: Solve for x
Distribute 2: 6x - 2 ≥ 4x - 6Subtract 4x on both sides: 2x - 2 ≥ -6Add 2 on both sides: 2x ≥ -4Divide 2 on both sides: x ≥ -2Here we see that any value x greater than or equal to -2 would work as a solution.
Given the two angles:
1) two angles are:
Congruent
Supplementary
Complementary
2) because they are...
Corresponding
Consecutive interior
Alternate exterior
Alternate interior
Answer:
congruent, alternate exterior
Step-by-step explanation:
For the first question, the angles are congruent (they are not complementary because they dont add p to 90 degrees, and they are not supplementary because they dont add up to 180 degrees so they must be congrunet)
For the second- they are alternate exterior (i know that they are on the outisde so they are exterior)
n/-5 = 7
What is n
Please answer with an explanation of how you completed the equation
Answer: n= -35
Step-by-step explanation: N= 7(-5) =-35
4+8 890-5+764+88=765678987654
Answer:
no its 1749
Step-by-step explanation:
PLZ I NEED HELP!!A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building?
A. 24
B. 21
C. 27
D. 32
Answer:
D. 32 feet
Step-by-step explanation:
A tree is 12 feet tall and casts a 9-foot shadow.
The shadow is 3/4 the length of the tree (9/12 = 3/4).
We know the shadow of a nearby building is 24 feet long.
That would be 3/4 of the height of the building.
So, fidn the reciprocal of 3/4 (4/3) and multiply by 24.
24/1 * 4/3
Cross-cancellation
8/1 * 4/1
8 * 4
The building is 32 feet tall, which is D.
help plz plz plz plz
Step-by-step explanation:
2(4y-44)°+2(3y+35)°=360°
(8y-88)°+(6y+70)°=360°
(8y+6y+70-88)°=360°
(14y-12)°=360°
14y=360°+12°
14y=372°
y=372°/14
y=27°
acute angle
(4y-44)° =4(27)°-44°
=108°-44°=64°
Which method will NOT get you to the point (4,3.5)?
A. Starting at the origin, go 3.5 spaces to the right and then 4 spaces up.
B. Starting at the origin, go 3.5 spaces up and then 4 spaces to the right.
C. Starting at the origin, go 4 spaces to the right and then 3.5 spaces up.
D. Put one finger on 4 on the x-axis, and put another finger halfway between 3 and 4 on the y-axis. Move the first finger up and the second finger to the right until they meet.
Answer:
A. Starting at the origin, go 3.5 spaces to the right and then 4 spaces up.
Step-by-step explanation:
if you were to plot this then the point would be (3.5,4) instead of (4,3.5)
Starting at the origin, go 3.5 spaces to the right and then 4 spaces up will not get you to the point (4,3.5) but will get you (3.5, 4). The correct option is A.
What are coordinates?Coordinates are a pair of integers (Cartesian coordinates), or occasionally a letter and a number, that identify a certain place on a grid, often referred to as a coordinate plane.
We have the point (4, 3.5).
And let the point (x, y).
By comparing,
we get,
x = 4 and y = 3.5
That means, the value in the x coordinate is 4 and y coordinate is 3.5.
As the signed distance from the origin in the direction along the x-axis, the first value x is known as the x-coordinate (or x-component). The x-coordinate indicates the distance from the y-axis to the right (if x is positive) or left (if x is negative).
Additionally, the y-coordinate indicates how many steps are needed to up either positively or negatively on the y-axis.
So, the point is 4 point right from the origin and 3.5 point up from the origin.
Therefore, starting at the origin, go 3.5 spaces to the right and then 4 spaces up will not get you to the point (4,3.5)
To learn more about the coordinates;
https://brainly.com/question/27749090
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Solve the following multi-step equation: 4(2 - 4x) - 3x = 65
Answer:
x = -3
Step-by-step explanation:
4(2 - 4x) - 3x = 65
Distribute the 4.
8 - 16x - 3x = 65
Combine like terms.
8 - 19x = 65
-19x = 57
Divide by -19 to isolate x.
x = 57/-19
x = -3
Check.
4(2 - 4(-3)) - 3(-3) = 65
4(2 - (-12) + 9 = 65
4(14) + 9 = 65
56 + 9 = 65
65 = 65
The solution of the given linear equation 4(2 - 4x) - 3x = 65 is -3.
Two algebraic expressions separated by an equal symbol in between them and with the same value of the expression are called equations.
Example = 2x +4 = 12
here, 4 and 12 are constants and x is variable.
The solution of the equation 4(2 - 4x) - 3x = 65 is calculated as:
4(2 - 4x) - 3x = 65
Multiply the expressions inside the brackets,
8 - 16x -3x = 65
8 - 19x = 65
Subtract 8 from both the sides,
-19x = 65- 8
-19x = 53
Divide both side by -19
[tex]x = \dfrac{-53}{19}[/tex]
Thus, the value of x is -3.
Learn more about equations here:
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You want to limit the amount of television you watch to an average of at most 2 hours a week during and eight week period. How many hours x can you watch in the eight weeks to meet your goal.
Answer:
x = 16hours
Step-by-step explanation:
Given
Total number of hours to watch the television a week is 2 hours, that is;
2hours =1 week
We are to find the number of hours to watch in eight weeks to meet the goal
x hours = 8 weeks
Divide both expressions;
2/x = 1/8
Cross multiply
1 * x = 2*8
x = 16
Hence he will use 16hours to watch the television in 8 weeks
Omgggg please please please help me I really really really need help on this. Please can you guys help me solve this problem?
Answer:
The volume of the figure is: 60840[tex]\pi ^3[/tex], or approximately about 191037.6 ft^3.
Step-by-step explanation:
This 3D figure can be split into two separate figures, a half-sphere, and a cone.
Let's first try to find the volume of the half-sphere.
The formula for the volume of the half-sphere is [tex]\frac{2}{3}\pi r^3[/tex], so substituting 39 for r gives us a volume of 39546[tex]\pi \\\\[/tex]ft^3, or about 124174.44 ft^3.
Next, let's find the volume of the cone. We see that the radius of the cone is once again 39 ft, and the height of the cone i s just 81-39, or 42 ft.
The volume of a cone is [tex](\pi r^2h)/3[/tex], and substituting 39 for r and 42 for h, we obtain a result of 21294[tex]\pi^3[/tex], or about 66863.16
Thus, the final volume of the figure is: 60840[tex]\pi ^3[/tex], or approximately about 191037.6 ft^3
click to see the problem
Answer:
C is your correct answer i think
Step-by-step explanation:
Lin is reading a 47-page book. She read the first 20 pages in 35 minutes. Rounding to the nearest minute, how long will it take Lin to finish the entire book?
Answer: 82.25 minutes
Step-by-step explanation:
First convert the minutes she took to hours. This would be:
= 35/60
She is reading at a speed of 20 pages per 35/60 hours.
To finish 47 pages therefore, she will take:
= (47 * 35/60) / 20
= 1.37083 hours
Converted to minutes that would be:
= 1.37083 * 60 mins
= 82.25 minutes
are you a robot cause i think you are
What is the factored form of n2 - 25?
?
(n-25)(n-1)
(n - 5)(n + 5)
(n + 5)(n + 5)
LO (n - 25)n + 1)
Answer:
(n-5)(n+5)
Step-by-step explanation:
n^2-25
(n-5)(n+5)
In his last basketball game, Chris attempted a total of 25 shots and made 18 of them.What is the ratio of how many shots missed and how many shots made?
Answer:
7:18
Step-by-step explanation:
Chris attempted a total of 25 shots
He made 18 shots
Number of shots missed= 25-18
= 7
Therefore the ratio of shots missed and shots made can be calculated as follows
7:18
Hence the ratio is 7:18
How many should I have?
Answer:
You should have 95 bananas.
Step-by-step explanation:
multiply 19 by 5.
Answer:
95 bananas ..I'm here for the points
a company sets up a food booth at the county fair. the fee for the food booth is 100$ plus 5$ per day. which expression can be used to determine how much money it would cost after x days?
Answer:
Total cost after x days = 100 + 5(x)
Step-by-step explanation:
Given:
Fixed cost = $100
Per day charges = $5
Find:
Total cost after x days
Computation:
Assume;
Number of days = x
Total cost after x days = $100 + $5(x)
Total cost after x days = 100 + 5(x)
WILL MARK BRAINLIEST!! This goes to a part 2 of my last post. Sketch a new graph of this relationship.
Which is a graph of the solution of the inequality -5m+10>70
Answer:
solving form; m< -12
Step-by-step explanation:
On a linear graph there would be an open circle on the number -12 and the line would be pointing left
...............°__________°.................
Answer:
35
Step-by-step explanation:
i pretty sure
Hey again!
The answer to your question is 122.5 feet²
We can find the dimensions of the new figure:
2 x 3.5 = 7
5 x 3.5 = 17.5
Area = length x width, so 7 x 17.5 = 122.5
Hope it helps!
help please!!!!!!!!!!!!!!!!!!!!!!!
9514 1404 393
Answer:
a) $336
b) $1036
Step-by-step explanation:
a) The interest is computed using the formula ...
I = Prt
where P is the amount invested at rate r for t years.
I = $700·0.08·6 = $336
The interest earned is $336.
__
b) The balance of the account is the sum of the original amount and the interest earned:
balance = $700 +336 = $1036
The balance of the account is $1036.
what is the measure of the central angle that represents blue backpacks?
Answer:
Yes it is 10
Step-by-step explanation:
What is the answer of this q ❓
Answer:
68Step-by-step explanation:
lets mijdkdefbdhnrr
help plz plz plz plz will mark brainliest
Answer:
x = 68°
Step-by-step explanation:
Let us solve the question
In the given figure
∵ The ray WD bisects ∠ZWN
→ That means it divides the angle into two equal angles, ∠ZWD and ∠DWN
∴ m∠ZWD = m∠DWN
∵ m∠ZWD = 5v - 7
∵ m∠DWN = 4v + 8
→ Equate the measures of the two angles
∴ 5v - 7 = 4v + 8
→ Add 7 to both sides
∵ 5v - 7 + 7 = 4v + 8 + 7
∴ 5v = 4v + 15
→ Subtract 4v from both sides
∵ 5v - 4v = 4v - 4v + 15
∴ v = 15
∵ x = m∠ZWD
∴ x = 5v - 7
→ Substitute v by 15
∵ x = 5(15) - 7
∴ x = 75 - 7
∴ x = 68°
CAN SOMEONE PLEASE HELP ME I WLL MARK BRAINLIEST!!!
Answer:
1/2 inch: 3 feet
Step-by-step explanation:
It says in the bottom right corner.
Answer:2tt
Step-by-step explanation:
huh
Select "equivalent" or "not equivalent" for each pair of expressions.
Expressions
equivalent or not equivalent?
5x - 7+ 3x and 3x – 7+ 5x equivalent not equivalent
4y + 9 + 3y and 3y+9+ 4y equivalent not equivalent
62 - 2x + 4 and 4 + 2z. - 62 equivalent not equivalent
Answer:
Step-by-step explanation:
1. Not
2. Yes
3. not
Find the equation of the line through the points (-2,-9) and (5,12)
y =
Answer:
y - 12 = 3(x - 5)
Step-by-step explanation:
Going from (-2, -9) to (5, 12), x (the run) increases by 7 and y (the rise) increases by 21. Thus, the slope of this line is m = rise / run = 21/7 = 3.
Using the point-slope formula y - k = m(x - h), we get:
y - 12 = 3(x - 5)
Are x+x^2 and u+u^2 the same function? If x and u are for all real numbers? A- these are the same function B- If x and u are two different numbers, the functions are different C- there is not enough information to answer this question.
Answer:
(a) These are the same function
Step-by-step explanation:
Given
[tex]x + x^2[/tex] and [tex]u + u^2[/tex]
Required
Are they the same?
Yes, they are the same function and this is proved below.
[tex]x + x^2[/tex]
Represent as a function:
[tex]f(x) = x + x^2[/tex]
[tex]u + u^2[/tex]
Represent as a function
[tex]f(u) = u + u^2[/tex]
Let x = u
Substitute u for x in [tex]f(x) = x + x^2[/tex]
[tex]f(u) = u + u^2[/tex]
This implies that:
[tex]f(x) = f(u)[/tex]
[tex]x + x^2 =u + u^2[/tex]
PS: The information that x and u are real numbers are for all real numbers; So, we can not assume that x and u are different numbers
Hence:
(b) and (c) are wrong
list the integers within the interval
[tex] 8 \leqslant x < 16[/tex]
Which property is demonstrated by the equation (5 + a) + 3 = (a + 5) + 3?
Answer:
Communitive Property
Step-by-step explanation:
Commutative property = 2 + 3 = 3 + 2 or 2(3) = 3(2)
Associative Property = (2 x 3) 5 = 2 (3 x 5) or (2 + 3) + 5 = 2 + (3 + 5)
Inverse Property = 2 + (-2) = 0 or (2/1)(½) = 1
Basic Definitions:
Commutative Property - Gives you the ability to switch the order of the numbers in an expression.
Associative Property - Let's you move the parenthesis in an expression but not the numbers.
Inverse - Uses numbers like 0 and 1.
Using these basic definitions and examples, we can summarize that the best answer would be Communitive Property