Answers
Answer:
11) 6
12) 3
Step-by-step explanation:
2 log 2 8
so 2(log2 8)
Base 2 so 2^x=8 so 3.
2*3 is 6.
log a a cubed
base a so a^ x = a^3
x=3
so 3.
Hope this helps ;D
Answer:
6 and 3
Step-by-step explanation:
Using the rules of logarithms
log[tex]x^{n}[/tex] ⇔ n log x
[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]
[tex]log_{a}[/tex] a = 1
(11)
let 2 [tex]log_{2}[/tex]8 = n , then
[tex]log_{2}[/tex] 8² = n
[tex]log_{2}[/tex] 64 = n
[tex]log_{2}[/tex] [tex]2^{6}[/tex] = n
[tex]2^{6}[/tex] = [tex]2^{n}[/tex]
Since bases on both sides are equal, equate the exponents, that is
n = 6
(12)
[tex]log_{a}[/tex] a³
= 3 [tex]log_{a}[/tex] a
= 3 × 1
= 3
Related Questions
Solve the formula for the specified variable.
W=X+Xyz for y
Answers
We have to isolate y.
W=X+Xyz
Subtract X from both sides. Doing so, we get the following: W - X = Xyz.
We now simply divide both sides by Xz to isolate y.
(W - X)/Xz = y
Done.
Find the LCM of the set of numbers. 3,5
Answers
Answer:
The answer for your question is 15
Answer:
The Least common multiple of 5 and 3 is 15
A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. Each small box of paper weighs 35 pounds and each large box of paper weighs 65 pounds. There were 3 times as many small boxes shipped as large boxes shipped and the total weight of all boxes was 850 pounds. Determine the number of small boxes shipped and the number of large boxes shipped.
Answers
Answer:
15 small boxes and 5 big boxes
Step-by-step explanation:
5 x 3 = 15
15 x 35 = 525
5 x 65 = 325
525 + 325 = 850
Divide following polynomials 5x2 - 18x-27/x-5
Answers
Answer:
[tex]\frac{5x^{3}-18x^{2} -5x-27 }{x}[/tex]
Step-by-step explanation:
Find the slope of the line that passes through (1, 2) and (2,4).
Answers
Answer: well there's no picture or model of the problem
Step-by-step explanation:
So what I can say is think about what line passes through what I'm assuming the lines that the numbers label, then find the slope of that line that passed through them.
Time = 2hour +12 mins per lightswitch
She charges her customers a call out fee of £35, plus £30 per hour.
How much should a customer be charged for wiring a house with 10 lightswitch?
Answers
Answer:
£395
Step-by-step explanation:
call out fee = 35
30 per hour = 2 hour to be = 60
but, 12 minutes in hour = 12/60 = 0.2
0.2 = 0.2*30 = 6
2 hours and 12 minutes would be charges as
30 + 6 = 36
36*10 = 360
call out fee + per hour = 35 + 360 = 395
if f(x)=g(x)-10 and g(x)=3x-18 then what would the equation
represent f(x)
Answers
Hello!
[tex]\large\boxed{f(x) = 3x - 28}[/tex]
If f(x) = g(x)-10, substitute in the equation of g(x) to solve for f(x):
f(x) = (3x - 18) - 10
Simplify:
f(x) = 3x - 28
What is standard form of a line?
a. y = mx + b
b. Ax + By = C
c. y - y1 = m(x - x1)
d. y = Ax + By
Answers
Option A is slope-intercept form, option C is point-slope form.
A line passes through the points (-3, 14) and (-1, 16). What is its equation in slope-intercept form?
Answers
Answer:
y = 6x + 22
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Point (-3, 14)
Point (-1, 16)
Step 2: Find slope m
Substitute: [tex]m=\frac{16-14}{-1+3}[/tex]Subtract/Add: [tex]m=\frac{12}{2}[/tex]Divide: [tex]m=6[/tex]Step 3: Find y-intercept b
Define: y = 6x + bSubstitute: 16 = 6(-1) + bMultiply: 16 = -6 + bIsolate b: 22 = bRewrite: b = 22Step 4: Write linear equation
y = 6x + 22
|x-8|<13
What is the solution
Answers
Answer:
x = (-5, 21)Step-by-step explanation:
|x - 8| < 131 .
x - 8 < 13x < 8 + 13x < 212.
x - 8 > -13x > 8 - 13x > -5Combined answer
-5 < x < 21x = (-5, 21)THREE QUESTIONSS PLEASE HELP !!!
1 . In the equation y=-4x+6, what is the y-intercept?
A.y
B.-4
C.x
D.6
2. Which equation or equations are written correctly in slope-intercept form? *
A.y=0.1x +2
B.f(x)=9.2x-5
C.h(x)=2x +3y
D.y-2=3(x+1)
3 .What is the slope of the equation -8x+4y=10?
A.4
B.-8
C.2
D.10
Answers
Answer:
1. B
2. C
3. C
Step-by-step explanation:
Answer:
1. D: 6 2.A:y=0.1x + 2 3.C
Step-by-step explanation:
1. In y = mx + b, b represents the y-intercept. The equation is alreayd in y = mx +b, so we can see that 6 is b, making it the y-inetrcept.
2. A is the only one written in slope intercept form, or y = mx + b.
3. -8x + 4y = 10 written in slope intercept form is y = 2x + 5/2. The slope is shown by 2.
Help Please!! I will give brainliest!
Answers
90 divided by 6=15
It’s 15 millimeters per DVD case. Then you take 15 and multiply it by 13 to get the total height of the stack of 13 cases.
Hope this helps!
Answer:
15 mm per case is the answer. The full answer is 195 mm.
Step-by-step explanation:
hope this helps:)
There are 12 boys and 16 girls in a classroom. Which represents the simplified ratio of girls to students in the
classroom?
03 to 4
4 to 3
4 to 7
7 to 4
Answers
Answer:
I think it is 4 to 3
Step-by-step explanation:
if I am wrong I'm sorry
Answer:
4-3
Step-by-step explanation:
slope-intercept form of Slope = -9/5, y-intercept = -4
Answers
Answer:
y = - [tex]\frac{9}{5}[/tex] x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - [tex]\frac{9}{5}[/tex] and c = - 4 , thus
y = - [tex]\frac{9}{5}[/tex] x - 4 ← equation of line
Find the length of side x in simplest radical form with a rational denominator.
Answers
Answer:
Step-by-step explanation:
given that both angles are the same, it is an equilateral right triangle.
we can use Pythagorean's theorem
[tex]a^2 + b^2 = c^2\\(\sqrt{6})^2+(\sqrt{6})^2= c^2\\ 12 = c^2 \\c = \sqrt{12} = \sqrt{4*3} = 2\sqrt{3}[/tex]
Write an equation of the line given an intercepts. Express in standard form.
1. x – intercept is 4 and y – intercept is 3.
2. x – intercept is -2 and y – intercept is 5.
Answers
Answer:
Required equations in standard form are:
1. 3x+4y=12
2. -5x+2y = 10
Step-by-step explanation:
Standard form of equation is given as:
[tex]Ax+By = C[/tex]
1. x – intercept is 4 and y – intercept is 3.
The points will be:
(4,0) and (0,3)
Slope: m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m = \frac{3-0}{0-4}\\m = -\frac{3}{4}[/tex]
Slope intercept form of line is:
[tex]y = mx+b[/tex]
Putting the values of m and b(y-intercept)
[tex]y = -\frac{3}{4}x+3[/tex]
Multiplying whole equation by 4
[tex]4y = -3x+12\\3x+4y = 12[/tex]
2. x – intercept is -2 and y – intercept is 5
The points will be:
(-2,0) and (0,5)
Now
[tex]m = \frac{5-0}{0+2}\\m = \frac{5}{2}[/tex]
Putting the values of m and b in slope intercept form
[tex]y = \frac{5}{2}x+5[/tex]
Multiplying the equation by 2
[tex]2y = 5x+10[/tex]
[tex]-5x+2y=10[/tex]
Hence,
Required equations in standard form are:
1. 3x+4y=12
2. -5x+2y = 10
Find all points (x, y) where the functions f(x), g(x), h(x) have the same value: f(x) = 2^(x−5) + 3, g(x) = 2x − 5, h(x) = 8/x + 10
quickly please!!!!
Answers
Answer:
The point where f(x), g(x), and h(x) have the same value is (8, 11)
Step-by-step explanation:
The points where g(x) and h(x) have the same value is given as follows;
2x - 5 = 8/x + 10
2x² - 15x - 8 = 0
Using an online tool, we have;
(x - 8)(2x + 1) = 0
x = 8 or x = -1/2
∴ g(x) and h(x) = 11 or y = -6
For x = 8, we have;
f(x) = 2^(x - 5) + 3 = 2^(8 - 5) + 3 = 2^3 + 3 = 11
For x = -1/2, we have;
f(x) = 2^(-1/2 - 5) + 3 = 3.022
Therefore, the point where f(x), g(x), and h(x) have the same value is (8, 11), therefore, for x = 8, f(x) = g(x) = h(x) = 11.
*PLZ HELP*...Given the following word problems, write an inequality that models the problem, then solve and check...
J.ulian wants to pay $25 at most for eating out in the month of September. He has already spent $13.72. How much more money can he spend on eating out in September?
Answers
Answer:
Maximum $11.28
Step-by-step explanation:
Let remaining money be x
13.72 + x ≤ 25x ≤ 25 - 13.72x ≤ 11.28He can spend maximum of $11.28 in September
The quotient of a number and -7 is 8. What is the number?
Answers
The number is -56. To find your answer, multiply -7 and 8, which leaves us with -56. From there, check the work by dividing -56 by -7, resulting in 8. Hope this helps! Have an amazing rest of your day and please mark brainliest. xx
2x = -y +1
3x + 4y = 14
Answers
It wasn’t specified so I just rewrote them slope-intercept form.
1st.
2x=-y+1
y=1-2x
y=-2x+1
If there is no fraction for the m value it is the number you have over 1
y=-2/1x+1
I believe this should help.
2nd.
3x+4y=14
4y=14-3x
Divide both sides by 4
y=7/2-3/4x
y=-3/4x+7/2
determine the value of x
Answers
Answer:
x is an unknown quantity whose value is determined based on any algebraic equation it is used in.
Step-by-step explanation:
What is the top one :(
Answers
Answer:
All answer below
Step-by-step explanation:
Equation of the Line
The standard form of the equation of a line is shown below:
Ax+By=C
And the slope-intercept form is:
y = mx + b
Where m is the slope and b is the y-intercept.
If we wanted to convert from the first form to the second we will perform the following operations:
Subtract Ax:
By = -Ax + C
Divide by B:
y = -A/Bx+C/B
The coefficient of x is -A/B (fill the blank with that text) and the y-intercept is C/B (again, fill in the blank)
The slope m is the coefficient of x, m=-A/B and it can be found it you divide the opposite of A by B. The selected option is correct.
The y-intercept is the division of C by B. Again, the selected option is correct.
The sum of three numbers is 107. The second number is 7 less than the first. The third number is 3 times the second. What are the numbers?
Answers
Answer:
27, 20, 60
Step-by-step explanation:
We use the equation
(x) + (x - 7) + (3 * (x - 7)) = 107
= x + x - 7 + 3 * (x - 7) = 107
= 2x - 7 + 3(x - 7) = 107
Add 7 on both sides
= 2x + 3(x - 7) = 114
Expand the 3
= 2x + 3x - 21 = 114
= 5x - 21 = 114
Add 21 on both sides
= 5x = 135
Divide 5 on both sides
= 5x/5 = 135/5
= x = 27
Plug the functions in
(27) + (27 - 7) + (3 * (27-7)) = 107
You would get
27 + 20 + 60 = 107, therefore the numbers are 27, 20, 60
Casey is going to start selling ice cream cones at the county fait. He has to rent the equipment for $26 and spend $0.43 on ingredients for each one. How many ice cream cones must he sell at $1.20 each in order to make a profit?
Answers
Answer:
34 ice cream cones
Step-by-step explanation:
1.20 - .43 = .77
26 - .77 n > 0
n > 33.77
You move left 3 units. You end at -4, -3. Where did you start?
Answers
Answer:
(-4+3, -3) = (-1,-3)
Step-by-step explanation:
Find the slope of the line shown on the graph to the right. The slope of the line is (Type an integer or a simplified fraction) -10 -86 -4 -2.
I know Im stupid, I just need help with this..
Answers
Answer:
Sup
Step-by-step explanation:
Answer: the slope is one
Step-by-step explanation:
Sorry for the late answer but you better reply ;w;
To my recent question
Please..? I was busy tbh
Geometry Please Help.
Find the specific measure below.
Answers
Answer:
55 degrees
Step-by-step explanation:
one triangle has 180 degrees
deg=35 degrees so subtract 35 from 180=145 dgrees.
the square at the bottom center means a 90 degree angle, so subtract 90 from 145=55
Asthma is a condition in which it can be very hard for a person to breathe in enough air. Would it also be difficult for someone with asthma to exercise?
Answers
Answer:
B, no, as long as the persons cells are getting different types of molecules from food he can still exercise.
Step-by-step explanation:
Please help me with this
Answers
Coefficients
Variables
Constant
And finally, Terms
What is the slope of the line?
Answers
Answer:
-1/2.
Change in y above change in x (don't mix that up)
The first coordinate is 3,-2 the second is 2,-4.
The change is x was -1 . (2-3)
The change in y was 2. (-4-(-2))