Which system of equations could be graphed to solve the equation below? log0.5x=log32 +x
Answers
Answer:
Step-by-step explanation:
The system of equation to be graphed is the following :
f(x) = Log_0.5 x
f(x) = Log_{3} (2 + x)
And the solution is the intersection point of the two graphs.
Check attachment for point of intersection.
Answer:
y1 = (Log x)/(Log 0.5)
y2 = [(Log 2)/(Log 3)] + x
Option D
Step-by-step explanation:
We are given;
Log_0.5_x = (Log_3_2) + x
To solve the equation graphically, we have to plot the graphs of these two functions and find the point of intersection of these graphs.
Using: log_a b = log b / log a
1) a = x, b=0.5
So, y1 = log0.5 x
Which gives; y1= (log x)/(log0.5)
2) a=2, b=3
So, y2 = (log_3 2) + x
So, y2 = (log 2 / log 3) +x
Hence, appropriate system is;
y1 = (Log x)/(Log 0.5)
And y2 = [(Log 2)/(Log 3)] + x
Looking at the options in the image attached, the correct solution that corresponds to our answer is Option D
Related Questions
PLEASE HELP ITS AN EMERGENCY
Answers
Answer:
the answer is d
Step-by-step explanation:
Find the slope give the points (-7,-4) and (5,8)
Answers
Answer:
1
Step-by-step explanation:
gradient = (8-(-4)) / (5-(-7)) = 12 / 12 = 1
Answer:
1
Step-by-step explanation:
(-7,-4)
x1 y1
(5,8)
x2 y2
8-(-4)/5-(-7) = 12/12 = 1
Which statement is true?
Only some squares are rectangles. Rectangles have 4 right angles. Therefore, only some squares have 4 right angles.
Only some squares are rectangles. Rectangles have 4 sides that are the same length. Therefore, only some squares have 4 sides that are the same length.
All squares are rectangles. Rectangles have 4 sides that are the same length. Therefore, all squares have 4 sides that are the same length.
All squares are rectangles. Rectangles have 4 right angles. Therefore, all squares have 4 right angles.
Answers
Answer:
All squares are rectangles. Rectangles have 4 right angles. Therefore, all squares have 4 right angles.
Step-by-step explanation:
The old math saying: "Every square is a rectangle, but not all rectangles are squares."
What makes a rectangle a rectangle is that it has four right angles.
A square also has four right angles. Therefore, a square is a type of rectangle.
What makes the other answers wrong:A rectangle does not have equal lengths on all four sides like a square does.
A square MUST have four right angles for it to be a square.
Brainiliest Appreciated.
Question:
A. 1) Only some squares are rectangles. 2) Rectangles have 4 right angles. 3) Therefore, only some squares have 4 right angles.
B. 1) Only some squares are rectangles. 2) Rectangles have 4 sides that are the same length. 3) Therefore, only some squares have 4 sides that are the same length.
C. 1) All squares are rectangles. 2) Rectangles have 4 sides that are the same length. 3) Therefore, all squares have 4 sides that are the same length.
D. 1) All squares are rectangles. 2) Rectangles have 4 right angles. 3)Therefore, all squares have 4 right angles.
Answer:
All squares are rectangles. Rectangles have 4 right angles. Therefore, all squares have 4 right angles.
Step-by-step explanation:
Let's go by process of elimination. Starting with A.
A. 1) Only some squares are rectangles. 2) Rectangles have 4 right angles. 3) Therefore, only some squares have 4 right angles.
You can already tell that it's incorrect just looking at sentence 1). All squares are rectangles because a rectangle is:
1. Quadrilateral.
2. Two pairs of parallel sides.
3. Four right angles.
Sentence 2) is correct because Rectangles have 4 right angles. But sentence 3) is incorrect because all squares have 4 right angles.
Down to B.
B. 1) Only some squares are rectangles. 2) Rectangles have 4 sides that are the same length. 3) Therefore, only some squares have 4 sides that are the same length.
Same thing in the first sentence as A . Sentence 1) is incorrect since all squares are rectangles. Sentence 2) is also incorrect because Rectangles do not have the same lengths on all four sides. Only two sides are the same in length. The sides that are the same are the two sides across from each other. Sentence 3) is also incorrect since all squares have 4 sides that are the same length.
Moving down again to C.
C. 1) All squares are rectangles. 2) Rectangles have 4 sides that are the same length. 3) Therefore, all squares have 4 sides that are the same length.
Sentence 1) is correct. All squares are rectangles. Sentence 2) is incorrect because not all sides are the same length. Sentence 3) is correct because all squares have 4 sides that are the same length.
Down to D. (The correct answer.)
D. 1) All squares are rectangles. 2) Rectangles have 4 right angles. 3)Therefore, all squares have 4 right angles.
Sentence 1) is correct because all squares are in fact, rectangles. here is a fact about squares:
"A square is a quadrilateral with all four angles, right angles, and all four sides of the same length. So a square is a special kind of rectangle, it is one where all the sides have the same length. Thus every square is a rectangle because it is a quadrilateral with all four angles right angles."
Sentence 2) is also correct because all rectangles have four right angles. Here are some more facts about rectangles:
"All rectangles are parallelograms, but all parallelograms are not rectangles.
The diagonals of a rectangle divide the rectangle into four triangles.
Every square is a rectangle, but every rectangle is not a square."
Sentence 3) is correct. All squares have 4 right angles. Therefore, Option D. would be your correct answer.
There are 216 one-inch cubes stacked in such a way as to create a larger cube. How many one-inch cubes are on a single edge of the larger cube?
Answers
Final answer:
To find out how many one-inch cubes are on a single edge of the larger cube formed by stacking 216 cubes, take the cube root of 216, which is 6. Therefore, each edge has 6 one-inch cubes.
Explanation:
If there are 216 one-inch cubes stacked to form a larger cube, we need to determine how many cubes are along each edge of this larger cube. The volume of a cube is calculated as length × width × height, and since all sides of a cube are equal, we can say that the length, width, and height are all the same. Therefore, to find the length of one side, we take the cube root of the volume. The cube root of 216 is 6, meaning each edge of the larger cube is composed of 6 one-inch cubes.
How is the binomial 2x^2y-4xy^3 expresses in factores form
Answers
Answer:
2xy • (x - 2y2)
Step-by-step explanation:
STEP 1
:
Equation at the end of step 1
((2 • (x2)) • y) - 22xy3
STEP 2
Equation at the end of step
(2x2 • y) - 22xy3
STEP 3
STEP 4
:
Pulling out like terms
4.1 Pull out like factors :
2x2y - 4xy3 = 2xy • (x - 2y2)
Trying to factor as a Difference of Squares:
4.2 Factoring: x - 2y2
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 2 is not a square !!
Ruling : Binomial can not be factored as the difference of two perfect squares.
v
15 10
In the circle shown, chords AC and BD intersect at E. If AE = 6, EC =
12, and DE = 18. How long is
BE
Answers
Answer:
BE is 4 units long
Step-by-step explanation:
Data
AE = 6EC = 12DE = 18Given that chords AC and BD intersect at E, then the following equation must be satisfied:
AE * CE = DE * BE
Replacing with data and isolating BE:
6*12 = 18*BE
BE = 6*12/18
BE = 4
In the equation 2x + 7 = 21, what is the value of x?
A.7 B.9 C.11 D.14
Answers
Evaluate the radical. 27−−√3 Enter your answer in the box.
Answers
Answer:
3
Step-by-step explanation:
took the test :p
The radical evaluation should be 3.
Calculation of the evaluation of the radical form:We know that the cube of 3 is 27
basically in this, no square roots, cube roots should be simplified.
So based on this, the radical evaluation should be 3.
Therefore, we can conclude that The radical evaluation should be 3.
learn more about radical here: https://brainly.com/question/20206800
. Which three-dimensional figure is modeled by the net below?
F. rectangular prism
G. triangular prism
H. square pyramid
I. rectangular pyramid
Answers
Answer:
Can I get more details on this question?
Step-by-step explanation:
If so, I can probably help you a little bit more. And I will edit my response
Answer: The answer is square pyramid
Step-by-step explanation:
Which weighs more: a pumpkin that weighs 3.2 kilograms, Or a cat that weighs 9 pounds? Note 1 pound is about 0.45 kilograms
Answers
Answer:
The cat weighs more.
Step-by-step explanation:
The cat weighs 4.08 kilograms and the pumpkin weighs 3.2 kilograms.
9lbs=4.08 kilograms.
Hope this helps : )
The body that weighs more, based on its relative mass is the cat.
The cat weighs 9 pounds and the pumpkin weighs 3.2 kilograms.
To know which weighs more, they need to be weighed in the same units.
Convert the cat to kilograms:
= Number of pounds x Pounds to kilograms
= 9 x 0.45
= 4.05 kg
The cat therefore weighs more than the pumpkin.
Find out more at https://brainly.com/question/426654.
Olivia ordered a shirt online that cost her $38 total.
The package arrived late so the seller took 16% off
the price. How much did she end up paying?
I NEED UT TODAY
Answers
Answer:
$6.08
Step-by-step explanation:
38 x 0.16
equals $6.08
Answer:
$31.92
Step-by-step explanation:
Find 16 percent of 38
38*.16= 6.08
subtract
38-6.08= 31.92
H(t)=t^2+4t+3 what are the zeroes of the function? Write the smaller t first, and then the larger t second
Answers
Answer:
t = - 3, t = - 1
Step-by-step explanation:
Given
h(t) = t² + 4t + 3
To find the zeros equate h(t) to zero, that is
t² + 4t + 3 = 0
Consider the factors of the constant term (+ 3) which sum to give the coefficient of the t- term
The factors are + 3 and + 1, since
3 × 1 = 3 and 3 + 1 = 4, thus
t² + 4t + 3 = (t + 3)(t + 1) = 0
Equate each factor to 0 and solve for t
t + 3 = 0 ⇒ t = - 3
t + 1 = 0 ⇒ t = - 1
smaller zero is t = - 3
larger zero is t = - 1
Hellllpppp Pleaseeeeee
Answers
Answer:
Statement 1 & Statement 3
Step-by-step explanation:
4 ÷ 10/3
4 × 3/10
12/10
6/5
f(x + 1) = (6/5) × f(x)
f(x) = (10/3) × (6/5)^(x-1)
f(x) = (10/3) × (5/6) × (6/5)^x
f(x) = (25/9) × (6/5)^x
The domain is all natural numbers and the range is real numbers
Step-by-step explanation:
Step 1: Find the correct answer
Option A is correct because if you plug in the numbers...
[tex]f(0 + 1) = \frac{10}{3}[/tex] → [tex]f(1)=\frac{10}{3}[/tex]
[tex]f(1 + 1) = \frac{6}{5} * \frac{10}{3}[/tex] → [tex]f(2)=4[/tex]
[tex]f(2 + 1) = \frac{6}{5} * \frac{4}{1}[/tex] → [tex]f(3) = \frac{24}{5}[/tex]
[tex]f(3 + 1) = \frac{6}{5} * \frac{24}{5}[/tex] → [tex]f(4) = \frac{144}{25}[/tex]
Also, Option C is correct because if you plug in the numbers...
[tex]f(1) = \frac{10}{3}(\frac{6}{5})^(^1^-^1^)[/tex] → [tex]f(1) = \frac{10}{3} * 1[/tex] → [tex]f(1)=\frac{10}{3}[/tex]
[tex]f(2) = \frac{10}{3}(\frac{6}{5})^(^2^-^1^)[/tex] → [tex]f(2) = \frac{10}{3}*\frac{6}{5}[/tex] → [tex]f(2) = 4[/tex]
[tex]f(3) = \frac{10}{3}(\frac{6}{5})^(^3^-^1^)[/tex] → [tex]f(3) = \frac{10}{3}*\frac{36}{25}[/tex] → [tex]f(3) = \frac{24}{5}[/tex]
[tex]f(4) = \frac{10}{3}(\frac{6}{5})^(^4^-^1^)[/tex] → [tex]f(4) = \frac{10}{3} * \frac{216}{125}[/tex] → [tex]f(4) = \frac{144}{25}[/tex]
The reason why option B is not correct is because when you plug in a number, the output is incorrect. The reason why Option D is not correct is because the domain does not include negative numbers which means that the domain is all natural numbers. The reason why Option E is not correct is because the range is all real numbers and not just natural/positive numbers.
Answer: Options A, C
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Yasemin deposited $1000 into a savings account.
The relationship between the time, t, in years, since the account was first opened, and Yasemin's account
balance, B(t), in dollars, is modeled by the following function.
B(t) = 1000. 20.03
How many years will it take for Yasemin's account balance to reach $1500?
Round your answer, if necessary, to the nearest hundredth.
Answers
Answer:
The number of years it will take for Yasemin's account balance to reach $1500 is 13.52 years.
Step-by-step explanation:
Where the model of the relationship between the time, t, in years, since the account was first opened and the and the balance in Yasemin's account is presented as follows;
[tex]B(t) = 1000 \times e^{(0.03 \times t)}[/tex]
To find find out how many years it will take for Yasemin's account balance to reach $1500, we substitute B(t) = $1500 since we are told that after the years his account balance became $1500 as follows;
[tex]\$ 1500 = 1000 \times e^{(0.03 \times t)}[/tex]
We now solve for t
[tex]\$ 1500 = 1000 \times e^{(0.03 \times t)}\\\\\frac{1500 }{1000 } = e^{(0.03 \times t)}\\1.5 = e^{(0.03 \times t)}\\\\ln(1.5) = ln (e^{(0.03 \times t)})\\\\ln(1.5) = (0.03 \times t) \times ln (e)\\\\\therefore ln(1.5) = (0.03 \times t) \\\\t = \frac{ln(1.5)}{0.03 } = 13.52 \ years[/tex]
The number of years it will take for Yasemin's account balance to reach $1500 = 13.52 years.
Roxane is designing a new cake box for a local bakery. The template for the cake box is shown above. When the template is folded along the dotted lines, it makes a box with a length of 42 centimeters, a width of 20 centimeters, and a height of 10 centimeters.
How much paperboard is needed to make the cake box?
A.
2,080 square centimeters
B.
1,462 square centimeters
C.
2,920 square centimeters
D.
1,460 square centimeters
Answers
Answer:
Area of rectangle box = 2,920 CM²
Step-by-step explanation:
Given:
Length = 42 Cm
Width = 20 Cm
Height = 10 Cm
Find:
Total area required to make box = ?
Computation:
Area of rectangle box = 2[LB + BH + HL]
Area of rectangle box = 2[(42 × 20) + (20 × 10) + (10 × 42)]
Area of rectangle box = 2[(840) + (200) + (420)]
Area of rectangle box = 2[1,460]
Area of rectangle box = 2,920 CM²
John had 60 video games and he sold 80% of the games at a garage sale. How many video games
were sold?
Answers
Answer:
48 video games were sold.
Step-by-step explanation:
We know that both 100% and 60 are divisable by 5. 100%÷5=20%. 60÷5=12. So now we know that 20% of 60 is 12. We need 80%, however. To get from 20% to 80%, we just multiply by four. 20 × 4 = 80. But what we do to one side, we must do to the other. 12×4=48. So 80% of 60 is 48.
Hope this helped, and good luck with future math problems!
BRAINLIEST!!
1. Solve log2 x = 5.
PLZ HELP
Answers
Answer: 32
explanation.
The value of x in the equation log_2_ x = 5 is;
x = 32
We are given; log_2_ x = 5
To solve this, we need to understand that in logarithms, there is a rule for bases like this. An example is;
Log_a_x = y means that;
a^(y) = x
Apply that formula to our question gives us;
log_2_ x = 5 can be expressed as;
2^(5) = x
Thus; x = 32
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Write 18.4 as a fraction in lowest terms
Answers
Answer:
Divide each side of 18/4 by 2 to get 9/2.
Answer:
184/10
Step-by-step explanation:
You have to delete the comma (,) so, by doing ×10 you have 18,4 -> 184. By doing ÷10 you have a fraction: 184/10 that is equal to 18.4
Did you hear about the lettuce and tomato race? The lettuce was a head and the tomato tried to ketchup.
Answers
Answer:
bruh
Step-by-step explanation:
b r u h
1) Simplify and write your answer with one base and one exponent.
6^-5 x 6^2
Answers
Answer:
6^-3
Step-by-step explanation:
6^-5 * 6^2
6 * 6 = 6^(-5 +2)
6^-3
I thing I may be wrong
2.184÷0.7 pls help STAT
Answers
Answer:
3.12
Step-by-step explanation:
factor this four term polynomial: 4x^4-2x^3-6x+3
Answers
Answer:
( 2 x − 1 ) ( 2 x↑ 3 − 3)
Step-by-step explanation:
The arrow indicates that the 3 is an exponent
Also Mark me brainliest!
Liz flips a coin 90 times. The coin lands heads up 54 times and tails up 36 times. Complete each statement.
The theoretical probability of the coin landing heads up is
Answers
Answer:
1/2 or 50%
Step-by-step explanation:
Please check if that is correct. But generally there are two sides so half of the times it should be heads.
Hope this helps.
Consider the parallelogram shown below whose area is 40 square centimeters and height is 8 centimeters. The missing base in the figure is ___ centimeter.
Answers
Answer:
5
Step-by-step explanation:
B=a/h
The missing base in the figure is 5 centimeter.
What is the area of a parallelogram?The area of a parallelogram is the product of the base and the height of the figure. Supposing that there is no direct formula available for deriving the area, we can derive the area of that region by dividing it into smaller pieces, whose area can be known directly. Then summing all those pieces' area gives us the area of the main big region.
The area of a parallelogram = Base x Height
Given;
Area of parallelogram= 40 square centimeters
Height of parallelogram= 8cm
Solution;
A= b x h
substituting the given values in the formula;
40= b x 8
b= 40/8
b= 5
So, the answer is 5cm
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Select all the expressions that have a value
always
greater than 18,204.
A. 18,204 x 6
B. 18,204 x
length
C. 18,204 x 1
use angles
D. 18,204 x
3
10
E. 18,204
Answers
Step-by-step explanation:
18024 x 6 = 108144
18024 x 2/3 = 12016
18024 x 1 1/8 = 18025.125
18024 x 3/ 3 = 18024
18024 x 10/5 = 36048
Option A C E are the correct answer
The slope-intercept form of the equation of a line that passes through the point (4, -3) is y=-3x+5. What is the point-slope form of the
equation for this line?
Point-Slope Form:y- y1=m(x-x1)
y-3--1/3x+4)
y-4--1/3 (X - 3)
y-4--1/3(x+3)
y+ 3 = -1/3 (x-4)
Answers
Answer:
y+ 3 = -1/3 (x-4)
Step-by-step explanation:
Simply plug in the values using (4, -3)
4 = x₁
-3 = y₁
Now one rule to keep in mind when plugging it in, since a negative and a negative make a positive, you have to add three instead of subtracting it.
Answer:
I think the answer is y+ 3 = -1/3 (x-4)
Step-by-step explanation:
Which system of equations could be graphed to solve the equation below?
log Subscript 0.5 Baseline x = log Subscript 3 Baseline 2 + x
y 1 = StartFraction log 0.5 Over x EndFraction , y 2 = StartFraction log 3 Over 2 + x EndFraction
y 1 = StartFraction log x Over log 0.5 EndFraction, y 2 = StartFraction log 2 + x Over log 3 EndFraction
y 1 = StartFraction log 0.5 Over log 3 EndFraction, y 2 = StartFraction log x Over log 2 + x EndFraction
y 1 = StartFraction log x Over log 0.5 EndFraction, y 2 = StartFraction log 2 Over log 3 EndFraction + x
Answers
Answer:
y 1 = StartFraction log x Over log 0.5 EndFraction, y 2 = StartFraction log 2 Over log 3 EndFraction + x
Step-by-step explanation:
To solve the log equation, the appropriate system of equations is y₁ = log₀.₅ x and y₂ = log₃(2+x) as these correspond to the format of the original log equation, where we can equate the two and solve for x.
Explanation:To solve the equation log₀.₅ₓ = log₃ (2+x), we can rewrite it in a form that helps us find a system of equations.
First, apply the change of base formula for logarithms:
log ab/ log ac = log cb.
Using this formula, we can rewrite the given equation as:
log 0.5x / log₀.₅ 10 = log₃(2+x) / log₃10
Now, we can create a system of equations with the following relationships:
y₁ = log₀.₅ x / log₀.₅10
y₂ = log₃(2+x) / log₃10
Therefore, the correct choice is:
y₁ = logₓ/log₀.₅ , y₂= log(2+x)/ log 3
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Please help me out! I have only 1 hour left! I will give brainlist to correct answers. 5 stars and thanks for ALL answers, even asking for details.
Answers
Answer:
The small tire would make about 127 rotations.
The large tire would make about 38 rotations.
b. Would you rather ride a bicycle made with two large wheels or two small wheels? Explain.
Two large wheels. Because the larger wheel makes a smoother ride and you spend less energy in order to move, compared to smaller wheels. Also, the larger the diameter, the further it can travel over one revolution.
A bicycle with would allow you to travel farther with each rotation of the pedal.
The larger one. Because in one rotation the larger wheel moves 188.49 inches and the smaller one 56.55 inches.
[tex]C= 188.49\text{inches}[/tex]
[tex]C= 56.55\text{inches}[/tex]
Step-by-step explanation:
- Big wheel 60 inches
- Small wheel 18 inches.
a. How many rotations does each tire make after traveling 600 feet? Round your answers to the nearest whole number.
Considering: [tex]C=\pi d[/tex]
Large tire:
[tex]C=60\pi[/tex]
[tex]C= 188.49\text{inches}[/tex]
[tex]$C=\frac{188.49}{12} = 15.7 \text{feet}$[/tex]
[tex]$\frac{600 }{15.7} = 38 \text{rotations}$[/tex]
Small tire:
[tex]C=18\pi[/tex]
[tex]C= 56.55\text{inches}[/tex]
[tex]$C=\frac{56.55}{12} = 4.71 \text{feet}$[/tex]
[tex]$\frac{600 }{4.71} = 127 \text{rotations}$[/tex]
What is the number of ordered pairs (x,y) that are solutions to
4x+5y=2017
where both x and y are positive integers?
Answers
Answer:
Step-by-step explanation:
An ordered pair is a pair of coordinates on a graph that satisfy a particular equation.
From our question, the given equation is
4x + 5y = 2017
5y = 2017 - 4x
y = (2017 - 4x) / 5
but (x,y) are positive integers meaning that x and y > 0
when x = 1, y = (2017 - 4) /5
y = 2013/5
=402.6
Hence (x.y) = (1. 402.6) which is not a solution to the equation
when x = 2 , y = (2017 -8) /5
y = 2009/ 5 = 401.8
(x,y) = (2, 401.8) which is not a solution to the equation
when x = 3 , y = (2017 - 12)/ 5
y = 2005/5 = 401
(x, y) = (3, 401) which is a solution to the equation
when x =5 , y = (2017 - 20) / 5
y = 1997/5 = 399.4
(x,y) = (5, 399.4) which is not a solution to the equation
Please Help! I'm really stuck on this question 6th Grade Math
Answers
Answer: a
Step-by-step explanation: can i have brainliest
Answer:
155
Step-by-step explanation:
9 x 4 = 36
6 x 9 = 54
5 x 9 = 45
triangles = 10 x 2 = 20
36 + 54 + 45 + 20 = 155