Use the graph to estimate the solutions to 4 log2 (2x) = x + 4. Select all that apply.
Answers
Given:
The equation is:
[tex]4\log_2(2x)=x+4[/tex]
The graph of the [tex]4\log_2(2x)[/tex] and [tex]x+4[/tex] are given on a coordinate plane.
To find:
The solution of the given equation from the given graph.
Solution:
From the given graph it is clear that the graphs of [tex]4\log_2(2x)[/tex] and [tex]x+4[/tex] intersect each other at points (1.24,5.24) and (16,20).
It means the values of both functions [tex]4\log_2(2x)[/tex] and [tex]x+4[/tex] are equal at [tex]x=1.24[/tex] and [tex]x=16[/tex].
So, the solutions of given equation are [tex]x=1.24[/tex] and [tex]x=16[/tex].
Therefore, the correct option is only F.
Related Questions
What’s the answer 3y+5<10
Answers
Answer:
y < 5/3
Step-by-step explanation:
3y + 5 < 10
Let's subtract 5.
3y < 5
Okay. We have something manageable. Let's divide by 3.
y < 5/3
That's our answer.
if a third plane could be drawn which contains both lines a and b .
Answers
Answer:
must be parallel
Step-by-step explanation:
They must be parallel.
Hallar el interés producido por un capital de /240a una tasa de interés del 30% anual prestados durante un tiempo de 2 años
Answers
Answer:
The interest for the two years is 144.
Step-by-step explanation:
Hallar the interest produced by a capital of /240 to an annual interest rate of 30% provided for a period of 2 years
Principal, P = 240
Interest, R = 30 %
Time, t = 2 years
The simple interest is given by
[tex]I = \frac{P\times R\times T}{100}\\\\I = \frac{240\times 30\times 2}{100}\\\\I = 144[/tex]
Find the area of the kite
Answers
Answer:
the area to the kite is sixty-four
Step-by-step explanation:
multiply the width to the height
Find the other endpoint of the line segment with the given endpoint and midpoint. Round to the
nearest tenth.
Endpoint (-5, 4) Midpoint (-10, 6)
Answers
Find the domain of the following piecewise function.
Answers
Answer:
[tex](2,8][/tex]
Step-by-step explanation:
Given
The attached piece wise function
Required
The domain
To do this, we simply consider the inequalities that bound the values of x.
The inequalities are:
[tex]2 < x < 4[/tex] [tex]4 < x < 8[/tex] and [tex]x \ge 8[/tex]
Combine the first two inequalities:
[tex]2 < x < 8[/tex] and [tex]x \ge 8[/tex]
For the inequality to be true, we must have:
[tex]2 < x \le 8[/tex]
In interval notation, the inequality is:
[tex](2,8][/tex]
Which overlapping triangles are congruent by ASA?
B.
3
Select one:
O a.
AABE , ADEA
O b. AADC AEDA
O c.
AABE & ACDA
O d.
AADC AEBC
ya
Answers
Answer:
D. ADC EBC
Step-by-step explanation:
cb & cd have that little line showing they're the same
Can someone help with questions 9-16
Answers
10) 5,814
11) 5,765,760
12) 20
13) 742,560
14) 116,280
15) 110
16) 303,600
solve the simultaneous equation: y=2x²+3x-31 y= x= 21-2x
Answers
Answer:
1. x =(3-√257)/4=-3.258
2. x =(3+√257)/4= 4.758
Step-by-step explanation:
irst add
x
to both sides of the second equation to get:
y = x + 3
Then substitute this expression for y into the first equation to get:
29 = x 2 + ( x + 3 ) 2 = 2 x 2 + 6 x + 9
Subtract 29 from both ends to get:
0 = 2 x 2 + 6 x − 20
Divide both sides by 2 to get:
0 = x 2 + 3 x− 10 = ( x+ 5 ) ( x − 2 )
So x = 2 or x = − 5
If x = 2 then y = x + 3 = 5 .
If x = − 5 then y=x + 3 = − 2
So the two solutions
( x, y ) are ( 2 , 5 ) and ( − 5 , − 2 )
A sum of money earns the interest ar the rate of Rs. 5 per Rs.25 in a year. how many years would it trible itself?
a. 5
b. 10
c.15
d. 20
Answers
OMG HELP NOW PLZZ <3
Answers
Answer:
I think it would be Maxine's, since they did more tests.
Which rates are equal? Choose 2.
A. 630 miles per 9 hours
B. 1,320 miles
per 24 hours
C. 1,170 miles per 18 hours
D. 455 miles per 7 hours
E. 840 miles per 14 hours
Answers
Answer:
C. 1170 miles per 18 hours
D. 455 miles per 7 hours
Step-by-step explanation:
1170/18=65
455/7=65
Find the value of y in 4y + 2x = 8 and 2x + 5y = 14.
8
- 6
6
-8
Answers
3√75
simplest rationalizing factor
PLEASE DO ANSWER ONLY IF YOU KNOW IT
Answers
Answer:
the square root of 75 is 8.6
and 8.6 times 3 is
the answer is 25.8
Hope This Helps!!!
A saline solution has a weight of 1.12 kg per liter. What is the weight of the saline solution of 0.75 l?
Answers
Answer:
0.84 kg
Step-by-step explanation:
Given that :
Weight per liter = 1.12kg per liter
That is 1 Litre weighs 1.12 kilogram
The weight of saline solution of 0.75 Litre will be :
1 Litre = 1.12 kg
0.75 Litre = x
Cross multiply :
1 * x = 1.12 * 0.75
x = 0.84 kg
Hence, 0.75 Litre weighs 0.84 kg
3x
2x
x + 30
The diagram shows a triangle.
The sizes of the angles, in degrees, are
3x
2x
x + 30
Work out the value of x
Answers
Answer:
x = 25°
Step-by-step explanation:
3x + 2x + x + 30° = 180°
6x + 30° = 180°
6x = 150°
x =25°
=> 3x = 25 * 3 = 75°
=> 2x = 25 * 2 = 50°
=> x + 30° = 25° + 30° = 55°
Please answer this, I need help
Answers
Answer:
For this exercise, we need to add to the $200 the cost of the hours the DJ has been working
If each hour costs 12.50 $ and he worked 8.5 hours, we can just multiply to see the price of their work: 12.5 * 8.5 = $106.25
Now, we can do the sum: 200 + 106.25 = $306.25
Divisor mayor común de 28 y 48
Answers
Answer:
mcd(28,48) = 4
Para encontrar el mcd de 28 y 48:
Los factores de 28 son 28, 14, 7, 4, 2, 1.
Los factores de 48 son 48, 24, 16, 12, 8, 6, 4, 3, 2, 1.
Los factores en común de 28 y 48 son 4, 2, 1, los cuales intersectan los dos conjuntos arriba.
En la intersección de los factores de 28 ∩ factores de 48 el elemento mayor es 4.
Por lo tanto, el máximo común divisor de 28 y 48 es 4.
stackrel(harr)(AB) is perpendicular to 'stackrel(harr)(CD)'. How many
90° angles are formed by the intersection?
Answers
Answer:
4.
Step-by-step explanation:
A line AB is perpendicular to the line CD.
As shown in the diagram, there are four angles which measures 90°.
75% of bis 12. What is b?
Answers
Answer:
9
Step-by-step explanation:
Answer: 16
Step-by-step explanation:
75=75/100=3/4
3/4*b=12
b=12/1*4/3
Which statement about these two restaurant meals is correct? A. Neither meal contains any nutrients. B. Meal A is the more healthful choice. C. Meal B is the more healthful choice. D. Both meals are healthful choices.
Answers
Answer:
D. Both meals are healthful choices
Come get your 11 points :)
Answers
is the answer because the angles are equal which makes the sides equal
Math the following measurements
Answers
Answer:
UI=45
AQ=115
QZI=175
QYU=65
Solve the inequality and express your answer in interval notation
x^2 - 12x + 3 <0
Answers
Answer:
x is ( -∞, 6-√(33) ) U ( 6+√(33) , -∞ )
Step-by-step explanation:
I have attached the explanation on the image above, hopefully this help
Who is sometimes referred to as the Columbus of statistics because his book made a fundamental contribution by attempting to demonstrate the quantitative characteristics of birth and death data
Answers
Answer: John Graunt
Step-by-step explanation:
John Graunt is referred to as the Columbus of statistics because his book made a fundamental contribution by attempting to demonstrate the quantitative characteristics of birth and death data.
He's regarded as the founder of demography which is the statistical study of the population of human beings.
Solve for x. Round to the nearest tenth, if necessary. Calculating Sin or Cos or Tan
Answers
Answer:
1.06
Step-by-step explanation:
cos41⁰ = 0.8 ÷ X
X = 0.8 ÷ cos41⁰
Answer:
Step-by-step explanation:
Use SOH CAH TOA to recall how the trig functions fit on a right triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
x = Hyp (for this question)
Cos(41) = 0.8 / Hyp
use your algebra skillz
Hyp = 0.8 / Cos(41)
use your calculator to fund Cos(41) into 0.8
Hyp = 1.060010395 (that's all the decimal places my calc would go out to )
x = 1.1 ( rounded to nearest 10th )
Select the correct answer. Help
Answers
A certain polygon has its vertices at the following points: (1, 1), (1, 8), (8, 1), and (8, 8)
Answers
Answer:
Can u explain more pls?
Step-by-step explanation:
Answer:
Square
Step-by-step explanation:
Please help asap, how do I find the missing variables? (Trigonometry)
Answers
Answer:
x = 5.333 , y= 9.620764575
Step-by-step explanation:
sin(29)/x = sin(90)/11
x = 11* sin(29)/sin(90)
x = 5.333
(5.333)^2 + y^2 = 121
y^2 = 121 - (5.333)^2
y= 9.620764575
A cubical water tank can contain 1000/125 cubic meters of water. Find the length of a side of the water tank.
Answers
Given:
Volume of cubical tank = [tex]\dfrac{1000}{125}[/tex] cubic meters.
To find:
The length of a side of the water tank.
Solution:
The volume of a cubical tank is:
[tex]V=a^3[/tex]
Where, a is the side length.
It is given that the volume of cubical tank is [tex]\dfrac{1000}{125}[/tex] cubic meters. So,
[tex]a^3=\dfrac{1000}{125}[/tex]
[tex]a^3=\dfrac{(10)^3}{5^3}[/tex]
Taking cube root on both sides, we get
[tex]a=\dfrac{10}{5}[/tex]
[tex]a=2[/tex]
Therefore, the length of a side of the water tank is 2 meters.
