Answers
if you solve the equation how it is, it give 1 solution but if you make the 1 negative you get 2 more possibilities
Answer:
The equation has three solutions:
x= [tex]\frac{1}{2} + \frac{1}{2} log_{2} (3)[/tex]
x=1
x = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
||[tex]4^{x} - 3[/tex]|[tex]-2[/tex]| = 1
|[tex]4^{x} - 3[/tex]|[tex]-2[/tex] = 1 |[tex]4^{x} - 3[/tex]|[tex]-2[/tex] = - 1
|[tex]4^{x} - 3[/tex]| = 1+2 |[tex]4^{x} - 3[/tex]| = -1+2
|[tex]4^{x} - 3[/tex]|=3 |[tex]4^{x} - 3[/tex]| = 1
[tex]4^{x} - 3[/tex] =3 [tex]4^{x} - 3[/tex] = - 3 [tex]4^{x} - 3[/tex] = 1 [tex]4^{x} - 3[/tex] = - 1
x= [tex]\frac{1}{2} + \frac{1}{2} log_{2} (3)[/tex] x∉∅ x=1 [tex]x = \frac{1}{2}[/tex]
The union of these four solutions is: [tex]\frac{1}{2} , 1,[/tex] [tex]\frac{1}{2} + \frac{1}{2} log_{2} (3)[/tex]
I hope this is clearly and understandably written to you :)
Related Questions
Franklin needs 1.25 meters of ribbon to wrap each gift. He has a spool of ribbon that contains 25 feet of ribbon. One meter is equivalent to approximately 3 feet. How many gifts of the same dimension can he wrap using the spool of ribbon?
Answers
Answer:
6
Step-by-step explanation:
convert 1.25 meters to feet
1 meter = 3 feet
1.25 meters = 1.25 x 3 = 3.75 feet
Number of gifts he can warp = 25 feet / 3.75 = 6.6
Please help! Slope intercept form
Answers
Answer:
3x + 5
Step-by-step explanation:
plug in (1,8) as x in y so it looks like this
8 = 3(1) + B then solve for B to get 5 then plug it in as y=3x+5
What is the value of the expression you wrote in problem 3?
Answers
Answer:
??????????????????????????
Step-by-step explanation:
The area of the living room carpet was s 262.5 square feet. If the width of the room is 21 feet, then what is the length.
Please help, I’m taking an online test, I need it, quick. :)
(15 points!)
Answers
A rectangle’s area is calculated with the formula:
A = L * W
To find the length, all we have to do is divide the area (A) by the width (W).
We get the equation:
262.5/21 = L
262.5/21 = 12
L = 12
Can someone help me pls
Answers
Answer:
Yes it is tangent because it is touching a certain point
Step-by-step explanation:
Heres a pic i found of an example and it looks exactly like that one
9514 1404 393
Answer:
yes
Step-by-step explanation:
The side lengths of the triangle are 5, 12, and 5+8 = 13. We can check to see if they satisfy the Pythagorean theorem, which would indicate a right triangle.
5² + 12² = 25 +144 = 169 = 13²
These sides do satisfy the relationship between sides for a right triangle, so angle A is a right angle. That is the case when segment AB is a tangent to the circle.
Yes, AB is a tangent.
the table below shows the points scored by green bird players. what was the median number of the points scored
Answers
Answer: Sorry
Step-by-step explanation: What table? I would love to help you but I need to see the table you are talking about. :(
Jazmine's bakery shop Sells doughnut boxes for $10, In addition $5 for the toppings
Answers
Answer:
y=10+5x
Step-by-step explanation:
Have a great day
Find the perimeter of A ABC. If necessary, round to the nearest tenth.
Answers
Answer:
37.6
Step-by-step explanation:
A to B - just count up the numbers, it's 10
B to C - just count up the numbers, it's 12
A to C - Now this is a right triangle, so use the Pythagorean theorem(10^2 + 12^2 = 244, and take the square root of that, which is 15.62 and round to 15.6
And just add them together 10+12+15.6 to get 37.6
For each of the following regular polygons, find: a) the sum of the interior angles, b) the measure of each interior angle, c) the sum of the exterior angles, and d) the measure of each exterior angle. Round answers to the nearest hundredth if necessary.
Answers
Answer:
wish i culd help
Step-by-step explanation:
All 50 digits of pi.
(Giving brainliest to first correct answer.)
I’m trying to figure out how this thing works. I’ve never asked a question.
Answers
Answer:
3.1415926535 8979323846 2643383279 5028841971 6939937510
Step-by-step explanation:
Step-by-step explanation:
172738192739q0wiw7uqsjs
32 is what percent of 110? (round to the nearest percent)
Answers
what is the perimeter of figure B ?
Answers
Answer:
35 for perimeter of b
122.5 for perimeter of a
Step-by-step explanation:
To find the perimeter, you add all of the values of the outside of the shape together. Since 12+9+9+5 = 35, the answer is 35.
Okay, so what you have to do is set up a proportion for a to b. To do that, you have to have a fraction where a is the numerator and b is the denominator. 7/2 equals x/35. Then cross multiply
7*35 = 2x
x = 122.5 :)
Answer:
The perimeter is 35.
Step-by-step explanation:
To find perimeter, add all the sides together.
9 + 9 + 5 + 12 = 35
The perimeter is 35.
what is the LCM of 5 and 7
Answers
Answer:
35
Step-by-step explanation:
Answer:
the answer is 35.
Step-by-step explanation:
solve the inequality -d ≥ 0.5
Answers
Answer:
d ≤ -0.5
Step-by-step explanation:
Multiply each term by -1
two angles of a quadrilateral are 67 and 100. what is the sum of the other two angles
Answers
Answer:
93
Step-by-step explanation:
HELP PLEASE GIVING BRAINLIEST!!!
Answers
Answer:
161
Step-by-step explanation:
Please help me find the length of EC
Answers
Answer:
15
Step-by-step explanation:
BD=AC
E is the midpoint of both lines, so BE=CE
Find the area of the shaded region. Round to the nearest hundredth when necessary.
Answers
Step by step explanation:
Area of a circle formula pi*r^2
First solve the area of the big circle
3.14*21^2=1384.74 m^2
Now find the are of the smaller circle
r=21-3.5=17.5
3.14*(17.5)^2=961.63 m^2
Now we can minus the small area off the big area to get the shaded area.
1384.74-961.63=423.11 m^2
So the area of the shaded region is 423.11 m^2
-4x – y = 24
Complete the missing value in the solution to the equation.
Answers
Answer:
x = -5
y = 1
Step-by-step explanation:
-4(-5)-1=24
25-1=24
24=24
Answer: x= -6, y= 6
Step-by-step explanation:
What is the area of the polygon below.
Answers
Answer:
336 ft²
Step-by-step explanation:
The figure is composed of a rectangle and a right triangle
A of rectangle = length × breadth = 24 × 12 = 288 ft²
A of Δ = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Here b = 32 - 24 = 8 ft and h = 12 , then
A of Δ = [tex]\frac{1}{2}[/tex] × 8 × 12 = 4 × 12 = 48 ft²
composite area = 288 + 48 = 336 ft²
What is the greatest common factor of 32, 44, and 48?
Answers
Answer:
4
Step-by-step explanation:
PLS HELP a parabola has the equation y = 4x^2 + bx -2 and the equation for the axis of symmetry is x = -1.
Answers
Answer:
Step-by-step explanation:
Remark
Unless you know calculus, the only way to solve this is by completing the square.
Solution
y = 4x^2 + bx - 2
y = 4(x^2 + b/4 ) - 2
y = 4(x^2 + b/4 + (1/2b/4)^2 ) - 2 - 4*(b/8)^2
y = 4(x^2 + b/4 + (b/8)^2 ) - 2 - b^2/16
y = 4(x + b/8)^2 - 2 - b^2/16
Now what you want to happen is to give b/8 a value of 1 so that when x is put in -1 you get 0 for what is inside the brackets.
b/8 = 1
b = 8
y = 4(x + 1)^2 - 2 - (8)^2 / 16
y = 4(x + 2)^2 - 2 - 4
y = 4(x + 1)^2 - 6
The vertex is at (-1, - 6)
The axis of symmetry is x = - 1
Note
This could have been done a lot shorter just by realizing that the number inside the brackets had to be + 1 as in (x + 1). But then you would not have been able to know the minimum value for y which is - 6
10.) Your dad is planning to increase the area of your rectangular patio. Your current patio is 8
feet by 10 feet, and your dad plans to double its area by adding the same amount x to its length
and width. Find the value of x, and the new dimensions of the patio.
Answers
Answer:
x = 3.69 feet
11.69 x 13.69 feet
Step-by-step explanation:
new area = (8 x 10) x 2 = 160
(8 + x)(10 + x) = 160
80 + 8x + 10x + x² = 160
combine like terms:
x² + 18x - 80 = 0
factor:
(x - 3.69)(x + 21.69) = 0
x = 3.69
Answer:
x = 3.69 feet
11.69 x 13.69 feet
new area = (8 x 10) x 2 = 160
(8 + x)(10 + x) = 160
80 + 8x + 10x + x² = 160
combine like terms:
x² + 18x - 80 = 0
factor:
(x - 3.69)(x + 21.69) = 0
x = 3.69
Which of the following angle measurements would you find in an equilateral triangle?
A. 45°, 45°, 45°
B. 45°, 45°, 90°
C. 50°, 50°, 50°
D. 60°, 60°, 60°
Answers
Answer:
D. 60, 60, 60
Step-by-step explanation:
In an equilateral triangle, all sides are equal and equal to 180 when added together. because 60×3 is equal to 180, D is the right answer. I hope this helps you!
The angle measurements found in an equilateral triangle are 60°, 60°, 60°
What is an Equilateral Triangle?An equilateral triangle is an angle that has equal angles and equal sides. It implies that all the sides of the angle contain the same length.
We can also say that an equilateral triangle is also equiangular since it has equal angles. If we recall, we know that the sum of angles in a triangle is 180°.
For a triangle with equal sides, it implies that each length will possess;
= 180°/3
= 60° each.
Learn more about equilateral triangles here:
https://brainly.com/question/17264112
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answers
Answer:
x = 5.
y = -2
Step-by-step explanation:
y = x - 7
2x + y = 8
substitute the first equation into the second
2x + (x -7) = 8
2x + x - 7 = 8
3x - 7 = 8
3x = 8 + 7
3x/3 = 15/3
x = 5.
substitute 5 in the second equation
y = 5 - 7
y = -2
x = 5 and y = -2
Solution : mark as brainliest plz
LOOK AT PIC PLS THX!! I WILL TRY TO GIVE BRAINLIEST TO RIGHT ANSWRR
Answers
Answer:
240 ounces
Step-by-step explanation:
y'know you could just look this up lol
Answer:
240 oz
Multiply pounds by 16
15 × 16 = 240
In an isosceles triangle, one of the equal interior angles is equal to the adjacent exterior
angle divided by 5. What are the values of the 3 interior angles in the triangle? Make sure
to draw and label a sketch of the triangle.
Answers
Answer:
Step-by-step explanation:
can you show a picture?
in triangle ABC, M angle A = 36 degrees and m angle B =92 degrees. what is the measure if angle C
Answers
Answer:
angle c is 52 degrees
Step-by-step explanation:
92+36=128
180-128=52
i hope that's right...
Answer:
52
Step-by-step explanation:
what's the value of given expression
[tex] \sqrt{21 + 79} [/tex]
Answers
Answer:
√ 21 + 79
= 10
SOEINE HELP ME ASAPPP PLZ
Answers
Answer:
i attatched a picture of how it should look
Step-by-step explanation: