Answer:
Option (d).
Step-by-step explanation:
Note: The base of log is missing in h(x).
Consider the given functions are
[tex]h(x)=\log_2x[/tex]
[tex]m(x)=\log_2(x+3)[/tex]
The function m(x) can be written as
[tex]m(x)=h(x+3)[/tex] ...(1)
The translation is defined as
[tex]m(x)=h(x+a)+b[/tex] .... (2)
Where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
On comparing (1) and (2), we get
[tex]a=3,b=0[/tex]
Therefore, we have to translate each point of the graph of h(x) 3 units left to get the graph of m(x).
Hence, option (d) is correct.
Given that ZBCD and ZBCA form a straight angle, if ZABC measures 55
degrees and ZBCD measures 60 degrees, then the measure of ZBAC is
degrees.
Answer:
Angle BAC is 5 degrees.
Step-by-step explanation:
It's easiest if you just annotate you diagram as you find each angle. You can do this in lots of different ways, but this is how i got there.
So to find BAC, you need to find ABC and BCA. After you find these two, its just a matter of subtraction, which is simple.
We already know ABC = 55 degrees.
So now we have to find BCA:
1) They told us that BCD is 60 degrees and that its sitting on a straight line
2) From this we can find that BCA is 120 degrees, because a straight line is 180 degrees. 180 -60 = 120 degrees.
Now that we have both ABC and BCA, we can find BAC:
1) The angles of all triangles add up to 180 (idk why, its just how it is)
2) So, if we do 180 - BCA - ABC, we should get BAC
3) So, 180 - 55 - 120 = 5 degrees
Sorry if the explanation was really long, its a bit weird to explain it all in words. Hope it helped : )
How do I factor the polynomial -22d²+ 29d-9?
Answer: (11d-9) x (-2d + 1)
Step-by-step explanation:
22d^2 - 18d + 11d-9
-2d(11d-9) + 11d -9
What are the zeros of this function?
A. X = 0 and x = 6
B. x = 0 and x = -9
C. x = 0 and x = -6
O D. x = 3 and x = -9
Answer:
A. X = 0 and x = 6
Step-by-step explanation:
The zeros of the function are where the graph crosses the x axis
It crosses at 0 and 6
x=0 and x = 6
Answer:
A
Step-by-step explanation:
Ap3x (thx for points :)
the cones below are similar, although not drawn to scale
what is the length of the radius of the larger cone?
A 5 ft
B 6 ft
C 7 ft
D 8 ft
Answer:
b
Step-by-step explanation:
Which product will result in a sum or difference of cubes
Identify if this is a biased or unbiased sample:
To determine the type of music their customers like, all the people attending a concert of a country music singer were surveyed
Biased
Or
Unbiased
Answer:
i would say Biased
Step-by-step explanation:
which equation has no solution?
-x-3=5
2x-1= 0
5-3x=-8
x+9=0
Answer:
5-3x=-8
Step-by-step explanation:
1. 8
2. 1/2
4. 9
Answer:
the answer is C
Step-by-step explanation:
I got it right on time 4 learning
When solving the equation 3x = 9, Daniel used a property of algebra and transformed the equation into x=3. Which property did he use?
A) Multiplication
B) Division
C) Addition
D) Subtraction
Answer:
B)Division
Step-by-step explanation:
3x=9
divide both side by 3 gives you
x=3
In a survey of students, 60% were in high school and 40% were in middle school. Of the high school students, 30% had visited a foreign country
If a surveyed student is selected at random, what is the probability that the student is in high school and has visited a foreign country?
A. 12%
B. 18%
C. 24%
D. 30%
Answer:
18%
Step-by-step explanation:
60 percent are in high school, of those 60 percent, 30 percent visited a foreign country
P ( high school and foreign country) = 60% * 30 %
=.60*.30
.18
18%
The ratio x:y is 3: 1 Which of the following statements is correct? A x is 3/4 of y B y is 1/3 of x C x is 1/3 of y D y is 1/4 of x
Answer: i say B is correct
Answer:
B --> y is 1/3 of x
Step-by-step explanation:
x:y is 3:1
=> x is bigger than y
=> x is 3x bigger than y
=> x = 3 lots of y
=> [tex]x = 3y[/tex]
=> [tex]\frac{x}{3} = y[/tex]
=> [tex]\frac{1}{3} x = y[/tex]
Therefore y is [tex]\frac{1}{3}[/tex] of x
This means that B is correct
You have bumped into the car in front of you. You are injured in the collision, resulting in $2,500 in medical expenses. Your policy provides only liability insurance, with a limit of $25,000, and your deductible is $500. How much will your insurance company pay toward these medical expenses?
a)$0
b)$500
c)$2,000
d)$2,500
Answer:
c
Step-by-step explanation:
2,500-500=2000
10. What is the formula used to
find the vertex of the parabola.
| (2 points)
Answer:
y=ax2+bx+c
Step-by-step explanation:
In this equation, the vertex of the parabola is the point (h,k) . You can see how this relates to the standard equation by multiplying it out: y=a(x−h)(x−h)+ky=ax2−2ahx+ah2+k .
Consider the triangles. Triangle G H I. Side G H is 16 inches, H I is 15 inches, G I is 10 inches. Angle G is 65 degrees, H is 48 degrees, I is 67 degrees. Triangle D E F. Side D E is 3 inches, E F is 3.2 inches, D F is 2 inches. Angle D is 67 degrees, E is 48 degrees, F is 65 degrees. What can be concluded about these triangles? Check all that apply. The corresponding angles are proportional. The ratios of the corresponding sides are equivalent. The corresponding sides are congruent. The corresponding angles have the same measure. DE corresponds to IH.
Answer:
The triangles are Similar Triangles
Step-by-step explanation:
The corresponding angle are NOT proportional
The ratios of corresponding sides ARE equal.
The corresponding sides are NOT congruent.
The corresponding angle HAVE same measure
Two triangles are said to be similar triangle when they have the same shape but not necessarily the same size.
Which means that if two triangle have there corresponding angles congruent, and if there corresponding sides are in ratio, they are considered as Similar Triangle.
Corresponding angle:
∠H = ∠E
∠G = ∠F
∠I = ∠D
All angle are congruent
Ratio of Corresponding sides:
16/3.2 : 15/3 : 10/2
5:5:5
Hence Proved
Question: What can be concluded about these triangles? Check all that apply. Answer: B,D,and E.
Find the distance between the pair of points . (-3,-6) and (-3, 1)
Answer:
7
Step-by-step explanation:
add 6 to -6 to get 0
than add 1 to 0 to get 1
6+1=7
11. Determine the type and number of solutions of x2 - 8x + 16 = 0.
O two imaginary solutions
one real solution and one imaginary solution
O one real solution
O two real solutions
Answer:
one real solution
Step-by-step explanation:
the equation simplified is (x+4)²
Option 3 (two real solutions) is the right answer.
What is a Quadratic equation and its solution?A quadratic equation in the variable x is an polynomial of degree 2 equation of the form ax²+bx+c = 0 where a, b, c are real numbers a≠0. For example, 2x²-3x+1 =0. And we say that x=α is an solution of a quadratic equation if α satisfies the equation and since its degree is two it will always have 2 solutions which may be real or Imaginary.
Given equation here is : x² -8x+16= 0
x²-2.4x+4²=0
(x-4)²=0
x=4,4
Hence, the quadratic equation has two equal and real solutions.
Learn more about quadratic equation here:
https://brainly.com/question/17177510
#SPJ5
Write all of the complex numbers that are graphed
in the complex plane shown.
А
A:
B:
+
D
c:
+
14
4
D:
+
B
DONE
С
Answer:
A : (-2) + (3)i
B : (-1) + (1)i
C : (3) + (-4)i
D : (4) + (1)i
Step-by-step explanation:
In the graph attached,
Real part of a complex number is plotted on x-axis and imaginary part of the complex number on y-axis.
Therefore, in any ordered pair (x, y)
x → Real part of the complex number
y → Imaginary part of the complex number
Complex numbers are,
A : (-2) + (3)i
B : (-1) + (1)i
C : (3) + (-4)i
D : (4) + (1)i
Answer:
A : (-2) + (3)i
B : (-1) + (-1)i
C : (3) + (-4)i
D : (4) + (1)i
Step-by-step explanation:
Just took it. Edg 2020. Hope this helps :)
HI CAN I PLEASE GET SOME HELP PLEASE THANK YOU WICH OF THE FOLLOWING IS EQUIVALENT TO THE EXPRESSION BELOW? Square root of -169 A)13i B)-13 C)13 D)-13i
Answer:
A.
Step-by-step explanation:
[tex]\sqrt{-169}=i\sqrt{169} =13i[/tex]
Answer:
The answer would be A 13i
Step-by-step explanation:
2.Find the next number in the sequence: 1,−1,3,−5,11,−23,...
4) DeAndre owns 40 shares of a common stock in a automotive company. Last month the price of the stock was $22.50 per share. Today, the price of the stock is $31.25. By how much did the value of the stock increase? Enter your answers as a number like 105.
Answer:
8.75
Step-by-step explanation:
Find the difference of the prices.
31.25-22.50=8.75
That's how much it increased by
Answer:
350
Step-by-step explanation:
I took the test
Find the equivalent exponential expression.
[(-4)^3]^2
Answer:
4096
Step-by-step explanation:
Simplify:
=((−4)3)2
=((−4)3)*((−4)3)
=((−4)*(−4)*(−4))*((−4)*(−4)*(−4))
=(−4)*(−4)*(−4)*(−4)*(−4)*(−4)
=(−4)6
Step by Step:
((−4)3)2
=(−64)2
=4096
Answer: 4096
Hope this helps.
which expression can be used to find the surface area of the following rectangular prism?
Answer:
i think it is C
Step-by-step explanation:
What is the solution to the system of linear equations graphed below?
On a coordinate plane, 2 lines intersect at (0.5, 4).
(0, 4)
(4, one-half)
(one-half, 4)
(0, 3)
Answer:
The answer is (1/2,4)
Step-by-step explanation:
I just did it in Engenuity
Hope it helps
Answer:
(1/2,4)
Step-by-step explanation:
took the quiz
A piecewise function f(x) is defined as shown. f(x) = StartLayout enlarged left-brace 1st Row 1st column negative five-fourths x + 90, 2nd column 0 less-than-or-equal-to x less-than 40 2nd row 1st column negative three-eighths x + 75, 2nd column 40 less-than-or-equal-to x less-than-or-equal-to 200 EndLayout Which table could be used to graph a piece of the function? A 2-column table has 3 rows. The first column is labeled x with entries 0, 16, 40. The second column is labeled y with entries 90, 85, 75. A 2-column table has 3 rows. The first column is labeled x with entries 0, 40, 200. The second column is labeled y with entries 90, 40, 0. A 2-column table has 3 rows. The first column is labeled x with entries 40, 120, 200. The second column is labeled y with entries 75, 30, 0. A 2-column table has 3 rows. The first column is labeled x with entries 40, 160, 200. The second column is labeled y with entries 60, 15, 0.
Answer:
A 2-column table has 3 rows. The first column is labeled x with entries 40, 160, 200. The second column is labeled y with entries 60, 15, 0.
Step-by-step explanation:
All of the tables have x=40 in the first column. The function value there is ...
f(x) = (-3/8)(40) +75 = -15 +75 = 60
Only the last table has y = 60 for x = 40.
__
A check of the other points in that table shows they are all on the same (second) piece of the graph, as required by the problem statement. Those points are marked with a purple x in the attachment.
Answer:
it's D ON EDG his answer corret but not a it's d
Step-by-step exit planation:
today only, a sofa is being sold at a 36% discount. The sale price is $560. what was the price yesterday?
Answer:
Step-by-step explanation:
Let yesterday's price be x
Discount percentage = 36%
Sale price = $ 560
(100-36)% of x = 560
64 % *x = 560
[tex]\frac{64}{100}*x=560\\\\x=560*\frac{100}{64}\\\\x=875[/tex]
Yesterday's price = $ 875
Find the volume of a pyramid with a square base, where the perimeter of the base is
5
in
5 in and the height of the pyramid is
3.6
in
3.6 in. Round your answer to the nearest tenth of a cubic inch.
ANSWER:
1.9
EXPLANATION:
Volume of a pyramid = V= lwh/3
V= Volume
L= Length
W= Width
to get length we divide 5 by 4 which is 1.25
therefore V= 1.25×1.25×3.6/3
V= 1.89
1.89 to the nearest tenth is 1.9
Which quadrants does the line representing the equation y = 6x pass through?
Check all that apply.
Silver has a density of 0.04 lb/cm^3. A standard silver bar has a volume of 642
cm^3. To the nearest pound, how much does 1 standard silver bar weigh?
Answer:
The weight of the mentioned silver bar is:
25.68 LbStep-by-step explanation:
Remember that the formula of density is:
Density = mass / volume.From this formula, you can clear the mass (because this is the valor you need to solve the exercise), so you will have:
Mass = density * volumeWith this last formula, you must replace the values given in the exercise:
Mass = density * volume Mass = 0.04 lb/cm^3 * 642 cm^3 Mass = 25.68 LbYou can check this value using the original formula of density and see if the density has the same valor of the exercise:
Density = mass / volume. Density = 25.68 Lb / 642 cm^3 Density = 0.04 Lb / cm^3Help me please!!
They problems there! and, please and thank you! :)
Answer:
Step 1: 1,000, Step 2: 1,000, Step 3: 30,000
Step-by-step explanation:
For the first step all you have to do is find out what times 5 is equal to 5000.
[tex]5*x=5000\\[/tex]
Then for the second one all you have to do is keep the same 1000, because:
[tex](5*6)*1000=30*1000[/tex]
It's the same thing.
Afterwards you can just assume that you'll have 30000 as your answer because multiply 30 by 1000 will give, 30 thousands.
[tex]30*100=30000[/tex]
The coordinates of the endpoints of the diameter of a circle are (3,7) and (-5,3). Find the coordinates of the center of the circle
Answer:
[tex](-1,5)[/tex]
Step-by-step explanation:
The definition of the diameter indicates it passes through the center of the circle to be called diameter. Therefore finding the midpoint of the line that is the diameter we will find the center of the circle.
To find the coordinates of this midpoint we must make an average of the 'x' values of the two given points, and also an average of the two given 'y' values.
the coordines of this midpoint will be [tex](x_{m},y_{m})[/tex] where [tex]x_{m}[/tex] is the average of the 'x' values, and [tex]y_{m}[/tex] is the average of the 'y' values
The points we have are:
[tex](3,7)[/tex]
where I will call the coordinates: [tex]x_{1}=3[/tex] and [tex]y_{1}=7[/tex]
[tex](-5,3)[/tex]
where I will call the coordinates: [tex]x_{2}=-5[/tex] and [tex]y_{2}=3[/tex]
the average of the 'x' values is:
[tex]x_{m}=\frac{x_{1}+x_{2}}{2}[/tex]
substituting the values:
[tex]x_{m}=\frac{3+(-5)}{2}\\ \\x_{m}=\frac{3-5}{2}\\ \\x_{m}=\frac{-2}{2}\\ \\x_{m}=-1[/tex]
the average of the 'y' values is:
[tex]y_{m}=\frac{y_{1}+y_{2}}{2}\\[/tex]
substituting the values:
[tex]y_{m}=\frac{7+3}{2}\\ \\y_{m}=\frac{10}{2}\\ \\y_{m}=5[/tex]
and the center of the circle (the midpoint of the diameter) is at:
[tex](x_{m},y_{m})[/tex]
which is
[tex](-1,5)[/tex]
John takes out a personal loan for $5.000 at an annual interest rate 7.5% compounded monthly. He plans to pay off the loan (including interest) in 3 years.
At the end of the 3 years, what is the actual amount John would have paid back?
Use the
Round your answer to the nearest cent.
A = P(1+r/n)^nt )
Please help
Answer:
18,500
Step-by-step explanation:
