log (x2 - 1) - log (2x + 2) = 0
Answer:
x=3
Step-by-step explanation:
log (x^2 - 1) - log (2x + 2) = 0
Add log (2x + 2) to each side
log (x^2 - 1) = log (2x + 2)
Since the logs with the same base are equal the x^2 -1 must equal 2x+2
x^2 -1 = 2x+2
Subtract 2x+2 from each side
x^2 -1 -2x-2 = 2x+2 -2x-2
x^2 -2x-3 = 0
Factor
What number multiplies to -3 and adds to -2
-3 *1 =-3
-3+1 =-2
(x-3) (x+1) =0
Using the zero product property
x-3 =0 x+1 =0
x=3 x=-1
Check to see if solutions are valid
x = -1
log ((-1)^2 - 1) - log (2*-1 + 2) = 0
log(0) - log 0 = 0
Log 0 is undefined x =-1 not a valid solution
x = 3
log ((3)^2 - 1) - log (2*3 + 2) = 0
log(8) - log 8 = 0
valid
anyone ....?
?asap....
Answer:
243 .....................
expressed as a single logarithm. you do not need to expand the polynomials
Answer:
Step-by-step explanation:
ln(x-2)^5
ln(x + 3)^8
ln(x + 3)^3
(x - 2)^5 * (x + 3)^8
================ Cancel the (x + 3)s
(x + 3)^3
(x- 2)^5 * (x + 3)^5
( (x - 2) *(x + 3) )^5
ln( (x - 2)(x + 3)^5 You could expand what's in the brackets.
ln( x^2 - 2x + 3x - 6)^5
ln(x^2 + x - 6)^5
the answer all depends on what you are given. If this answer proves to be wrong, write me a note under comments and I'll alter my answer.
Which choice represents the fraction below as a single exponential
expression?
Answer:
d^5
Step-by-step explanation:
Given the indicinal expression
d^8/d^3
Based on the law of indices, if the base are the same, subtract the powers. This is as shown:
d^8/d^3 = d^{8-3}
d^{8-3} = d^5
Hence the solution is d^5
Help me I don't know this answer please
What answer fills in the blank ?
how to convert 1.86 m to feet
Answer:
5.905
Step-by-step explanation:
Formula
For an approximate result, multiply the length value by 3.281
1.8 × 3.281 = 5.905
-TheUnknownScientist
= In a 12-egg carton, 1/6 equals 2 eggs. Use the grids below to help you
und draw cartons where:
Answer:
given below
Step-by-step explanation:
These are fractions problems .
If you have 12 eggs and you need 1/6 then
12* 1/6= 12/6= 2 eggs
Similarly if you need 1/3,1/4, 1/2
12 * 1/3= 12/3= 4 eggs
12 * 1/4 = 12/4= 3 eggs
12 * 1/2 = 6 eggs
These can be drawn in sets of 12.
from the picture we see that dividing the 12 eggs in two parts and coloring one part gives 6 eggs.
Similarly dividng the 12 eggs in three parts and coloring one part gives 4 eggs.
The fractions 1/3,1/4,1/2 or 1/6 means dividing the 12 eggs into 3,4,2, or 6 parts and obtaining 1 part out of it.
Write in terms of i . Simplify your answer as much as possible. Square root -27
Answer:
3i[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex] and [tex]\sqrt{-1}[/tex] = i
Given
[tex]\sqrt{-27}[/tex]
= [tex]\sqrt{9(3)(-1)}[/tex]
= [tex]\sqrt{9}[/tex] × [tex]\sqrt{3}[/tex] × [tex]\sqrt{-1}[/tex]
= 3i[tex]\sqrt{3}[/tex]
Make x the subject of y = 3x - 2
You may use the flowchart to help you if you wish.
x 3
- 2 .
+
Answer:
x = (y + 2)/3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Equality PropertiesStep-by-step explanation:
Step 1: Define
y = 3x - 2
Step 2: Rewrite
Add 2 to both sides: y + 2 = 3xDivide 3 on both sides: (y + 2)/3 = xRewrite: x = (y + 2)/3Answer:
x = [tex]\frac{y+2}{3}[/tex]
Step-by-step explanation:
Given
y = 3x - 2 ( add 2 to both sides )
y + 2 = 3x ( isolate x by dividing both sides by 3 )
[tex]\frac{y+2}{3}[/tex] = x
If m ABC = 122°, and m then m
Answer:
DBC = 122 - 71 = 51°
Step-by-step explanation:
Answer:
Step-by-step explanation:
122-71 = 51°
Mandy created a treasure hunt in the sand at the beach. To keep track of where she buried four items, she graphed their locations in the coordinate plane.
Write the correct ordered pair to show the location of each item.
1. What is the location of item 1? Explain how you found its coordinates. Be sure to tell how you identified the sign of each coordinate.
Write your answer in the space below.
2. What is the location of item 2?
Write your answer in the space below.
3. What is the location of item 3?
Write your answer in the space below.
4. What is the location of item 4?
Write your answer in the space below.
PLEASE I NEED HELP ASAP!!
Answer:
1. (-3,3 ½)
2. (2.9,1) or (2 9/10,1)
3. (-1,-2.5) or (-1,2 1/2)
4. (1.9,-1) or (1 9/10,-1)
Step-by-step explanation:
Since some points were not directly on a line, they must have not been a whole number, so I estimated and used logical reasoning to get the coordinates of the items. Hope this helps.
Find the solution set of the inequality. \qquad16x - 7 \leq -7116x−7≤−71
Answer:
[tex]x \le -4[/tex]
Step-by-step explanation:
Given
[tex]\qquad16x - 7 \leq -71[/tex]
Required
Solve
Start by adding 7 to both sides
[tex]\qquad16x - 7 + 7 \leq -71 + 7[/tex]
[tex]\qquad16x - 7 + 7 \leq -64[/tex]
[tex]\qquad16x \leq -64[/tex]
Divide both sides by 16
[tex]\frac{16x}{16} \leq \frac{-64}{16}[/tex]
[tex]\frac{16x}{16} \leq -\frac{64}{16}[/tex]
[tex]x \leq -\frac{64}{16}[/tex]
[tex]x \le -4[/tex] --- The solution
Answer:
x < -4
I did this on khan academy
If X=sin 130° + cos 130° then
1)X<0 2)X=0 3)X>0 4)X greater than or equal to 0
Answer:
hy are u indian ?
------------------------
Which expressions are equivalent to -2(2h+10)+4h−2(2h+10)+4h
A.−20−4h+4h
B.-20
C.none of the above
Answer:
A and B
Step-by-step explanation:
Khan
And its 100% right promise
What is the slope of the line passing through the point (2,1) and the origin ?
Answer:
[tex]m=\frac{1}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Random Point (2, 1)
Origin (0, 0)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m.
Substitute [SF]: [tex]m=\frac{0-1}{0-2}[/tex]Subtract: [tex]m=\frac{-1}{-2}[/tex]Simplify: [tex]m=\frac{1}{2}[/tex]Select all of the fractions that are equivalent to –23 –2 3 .
Answer:
=−46
Step-by-step explanation:
Question 28 (1 point)
Find the point P along the directed line segment from point A(-18, -2) to point B(0, 6) that divides the segment in the ratio 1 to 3.
a P(-9/2,4)
b P(- 27/2,0)
c P(-9,2)
d P(-13/4,0)
Answer:
B.
I hope it will be useful.
Helpppppppppppppppppppppppppppppppp[ppppppppp
Can u plz help me answer this question plz
Answer:
12
Step-by-step explanation:
44/3 2/3 (Divide)
12
Why does the equation 9−2x−9−16x=−14x−7−4x−11 have no solutions?
because if you add 18x to both sides of the equation and simplify, you get −18=−18
because if you add 18 x to both sides of the equation and simplify, you get - 18 = - 18
because if you add 18x to both sides of the equation and simplify, you get 0=−18
because if you add 18 x to both sides of the equation and simplify, you get 0 = - 18
because if you subtract 18x from both sides of the equation and simplify, you get −18=−18
because if you subtract 18 x from both sides of the equation and simplify, you get - 18 = - 18
because if you subtract 18x from both sides of the equation and simplify, you get 0=−18
Answer:
Because if you add 18x to both sides of the equation, you get 0 = -18
Step-by-step explanation:
When you combine like terms in the equation, you get -18x = -18x - 18. After adding 18x to both sides, you have 0 = -18. This is not true, which means that there are no solutions to the equation.
Solve the two-step equation.
-0.45x + 0.33 = -0.66
What is the solution?
x = -2.2
x = -1.4
x = 1.4
x = 2.2
Answer:
LAST ONE: x=2.2Step-by-step explanation:
-0.45x + 0.33 = -0.66
Hope this helps
Answer:
x = 11/5 or 2.2Step-by-step explanation:
-0.45x + 0.33 = -0.66 subtract 0.33 both sides
-0.45x = -0.66 - 0.33 simplify
-0.45x = -0.99 multiply both sides by 100
-45x = -99 divide -45 both sides
x = -99 / -45 simplify
x = 11/5 or 2.2
Given that the highest common factor (HCF) and the lowest common multiple (LCM) of 20 and p are 10 and 60 respectively.
Answer:
Value of p = 30
Step-by-step explanation:
Given:
Two number = 20 , p
Highest common factor (HCF) = 10
Lowest common multiple (LCM) = 60
Find:
Value of P
Computation:
Product of two number = HCF x LCM
20 x p = 10 x 60
20 p = 600
p = 600 / 20
Value of p = 30
-7x + 17 > 115 solution
Answer:
x<-14
Step-by-step explanation:
Isolate x
-7x>98
x<-14
(can I get brainliest please)
PLEASE ANSWER!! Herman purchased a sundial to use as the centerpiece for a garden. The diameter of the sundial is 11 inches. Find the radius of the sundial
Answer:
The radius is (1/2)Diameter/ 5.5
Step-by-step explanation:
Please help to solve. ASAP
Answer:
i think it's 46 miles
Step-by-step explanation:
Describe how to place the decimal point in the quotient when you divide a decimal by an integer.
HELP ASAP! step by step if possible! please & thank you
The y value in the table gets multiplied by 4 every time the x value goes up by 1. You can check your work using the values in the table given to you. 0.25 times four is 1. 1 times four is 4, and so on as the table goes.
The ratio would be written as 1:4
The graph represents function 1 and the equation represents function 2:
A graph with numbers 0 to 4 on the x-axis and y-axis at increments of 1. A horizontal straight line is drawn joining the ordered pairs 0, 3 and 4, 3.
Function 2
y = 3x + 1
How much more is the rate of change of function 2 than the rate of change of function 1? (5 points)
1
2
3
4
Answer:
The rate of change of function 1 = 0The rate of change of the function 2 = 3Therefore, the rate of change of function 2 is 3 more than the rate of change of function 1.
Hence, option C is true.
Step-by-step explanation:
Function 1
A horizontal straight line is drawn joining the ordered pairs (0, 3) and (4, 3).
Given the points
(0, 3)(4, 3)It means
at x = 0, y = 3
at x = 4, y = 3
Since the y-values are same, it means the points lie on a horizontal.
The rate of change or slope of a horizontal line is zero because it does not rise vertically ( i.e. y₁ - y₂ = 0).
Therefore, the rate of change of function 1 = 0
Function 2
y = 3x+1
comparing with the slope-intercept form
y = mx+b
here m is the rate of change or slope and b is the y-intercept
so the rate of change of the function 2 = m = 3
Conclusion:
The rate of change of function 1 = 0The rate of change of the function 2 = 3Therefore, the rate of change of function 2 is 3 more than the rate of change of function 1.
Hence, option C is true.
Plz help below!⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️
9514 1404 393
Answer:
3) 1,440
Step-by-step explanation:
The dimensions of the prism can be expressed in terms of the cube dimensions.
1 2/6 inches = 8/6 inches = 8×(1/6 inch)
5/6 inch = 5×(1/6 inch)
6 inches = 36/6 inches = 36×(1/6 inch)
So, the volume of the prism in terms of small cubes is ...
8×5×36 = 1,440 . . . small cubes