Which of the following shows the true solution to the logarithmic equation solved below? log Subscript 2 Baseline (x) = log Subscript 2 Baseline (x + 7) = 3. log Subscript 2 Baseline left-bracket x (x + 7) right-bracket = 3. x (x + 7) = 2 cubed. x squared + 7 x minus 8 = 0. (x + 8) (x + 1) = 0. x = negative 8, 1
Answers
Answer:
x=1
Step-by-step explanation:
edge 2021
The question was incomplete. Below you will find the missing image.
Option 2 is correct. i.e. x = 1
What is the correct answer ?The given logarithmic equation is
[tex]log_{2}(x)+ log_{2}(x+7)=3[/tex]
⇒ [tex]log_{2}[x(x+7]=3[/tex] [∵[tex]loga+logb=log ab[/tex]]
⇒ [tex]x(x+7)=2^{3}[/tex]
⇒ [tex]x^{2} +7x-8=0[/tex]
⇒ [tex](x+8)(x-1)=0[/tex]
⇒ x = -8, 1
At, x = 1
[tex]log_{2}(1)+ log_{2}(1+7)=3[/tex]
⇒ 0+3=3
⇒ 3=3
L.H.S = R.H.S, therefore x=1 is a solution of the given equation.
At, x = -8
[tex]log_{2}(-8)+ log_{2}(-8+7)=3[/tex]
⇒ [tex]log_{2}(-8)+ log_{2}(-1)=3[/tex]
Logarithmic functions are defined only for positive values.
So, x = -8 is not a solution of the given equation, i.e. a extraneous solution.
Hence, x= 1 is the only solution of the given equation.
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I need this fast!! Sam scores 4 goals per game. What is the rate unit of this rate?
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A would be the rate 4 goals is the unit
Answer:
goals per game
Step-by-step explanation:
Use the distributive property to write a solution.
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Answer:
3x+12
Step-by-step explanation:
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Answer:
Step-by-step explanation:
How do you simplify fractions with odd numbers? Find the greatest common factor of both the numerator and denominator. Divide the numerator by the GCF. The result will be the simplified numerator.
A map has a scale of 1 : 250 000 . Two towns are 4 cm apart on the map. How far apart are they in kilometres in the real world.
Answers
Answer:
A scale of 1 : 50 000 is used on many Ordnance Survey maps. This means that 1 cm on the map represents an actual distance of 50 000 CM.(or 500 m or.5 km)Costco sells hotdogs in packs of 8 and hotdog buns in packs of 12. If you want to buy an equal number of hotdogs and hotdog buns, what is the least number of each that you can buy?
Answers
Answer:
24 hotdogs
Step-by-step explanation:
Costco sells hotdogs in packs of 8 and hotdog buns in packs of 12. If you want to buy an equal number of hotdogs and hotdog buns, what is the least number of each that you can buy?
We solve using the Lowest Common Multiple Method.
Find and list multiples of 8 and 12 until the first common multiple is found. This is the lowest common multiple.
Multiples of 8:
8, 16, 24, 32, 40
Multiples of 12:
12, 24, 36, 48
Therefore,
LCM(8, 12) = 24
Therefore, the least number of each that you can buy is 24 hotdogs
which of these expressions or phrases can be used to represent the model? Choose ALL of the correct answers iready
Answers
Simplify each expression
1. 5 + 3 (x - 5) + 7
2. 1/2+2/3(y- 6)
Answers
Answer:
3(x-1)
Step-by-step explanation:
12+3x-15
-3+3x
3(x-1)
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A farmer had 90 black sheep and 10 white ones. What fraction of the flock is black?
Answers
Answer:
90%
Step-by-step explanation:
HELP ASAP will give brianlist
Answers
A factory that make gaming systems selects 100 random systems to check for defects. They find that 3 of the gaming systems were defective
and had to be descarted. How many gaming systems out of 1,500 should the factory predict will be defective?
Answers
Answer:
45
Take 3% times 1,500
.03*1500=45
Step-by-step explanation:
Answer:
Step-by-step explanation:
45
Find the area of the parallelogram. Round to the nearest hundredth if necessary.
Answers
Answer:
48
Step-by-step explanation:
area of a parrelogram formula:
A=bh
A=(8)(6)
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plz HELP
Write the equation of the line through (2,-4) that is perpendicular to the line Y= 1/3x-4
Answers
Answer:
y + 4 = -3(x - 2)
Step-by-step explanation:
Perpendicular lines have opposite reciprocal slopes. Since the slope of the given line is 1/3, a perpendicular line would have a slope of -3. We know that the line goes through the point (2 , -4), so we can use point-slope form to write an equation.
Point slope: [tex]y-y_{1} =m(x-x_{1})[/tex]
y + 4 = -3(x - 2)
If necessary, this can be written in slope-intercept form as well. In this case, you'd solve for y.
50 PTS Please do not steal or I will report
Can someone explain how the quadratic equation works with an example!
Answers
Answer:The quadratic formula helps us solve any quadratic equation. First, we bring the equation to the form ax²+bx+c=0, where a, b, and c are coefficients. Then, we plug these coefficients in the formula: (-b±√(b²-4ac))/(2a) .The four methods of solving a quadratic equation are factoring, using the square roots, completing the square and the quadratic formula.
Step-by-step explanation: 6x² + 11x - 35 = 0.
2x² - 4x - 2 = 0.
-4x² - 7x +12 = 0.
20x² -15x - 10 = 0.
x² -x - 3 = 0.
5x² - 2x - 9 = 0.
3x² + 4x + 2 = 0.
-x² +6x + 18 = 0.
Geometry- please hurry!!
Answers
Answer:
1 is a polygon. 2 and 3 are not.
Step-by-step explanation:
For the first shape:
This shape is a polygon because the sides of the shape are straight, have angles, and do not intersect.
For the second shape:
This is not a polygon because of the lines being bent and having curvature.
For the third shape:
This is not a polygon because the lines intersect at a point.
For a shape to be a polygon, it must have 3 or more straight sides, angles, and no intersections.
help pls pls pls pls
Answers
Answer:
image is blurry i cant see it
Step-by-step explanation:
send another one plz
please answer this ASAP
x-6/9=-5
Answers
Answer:
x = -13/3
Step-by-step explanation:
Given: x-6/9 = -5
You want to isolate the variable (x).
To make this easier, turn -5 into -45/9 (common denominator w/ -6/9)
Then, add -6/9 to -45/9.
x = -39/9
Simplify.
x = -13/3
Can someone help me solve this
Answers
Graph.
PT=8
TQ=3 RT=6
if this is graph
The graph of f (x)= x² has been translated 4 units down.
Identify the new equation and the following attributes:
the vertex, the zeros, the y-intercept, and explain if it has a minimum or a maximum
Answers
Answer:
the new equation is f(x)=x^2-4
vertex- (0,-4)
zeros- (-2,2)
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and it has a minimum
Step-by-step explanation:
Help Find AB please explain
Answers
Answer:
[tex] AB=2\sqrt{29}[/tex]
Step-by-step explanation:
Hope it helps you in your learning process.
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Answers
Answer:
it would be: A.
Step-by-step explanation:
The scatterplot shows the average number of hours each of 13 people spends at work every
week and the average number of hours each of them spends on recreational activities every
week.
Working and Relaxing
40
35
30
25
Recreational Activities (hours)
20
15
10
5
0
10 20 30 40 50 60 70 80 90
Work (hours)
Based on the scatterplot, what is the best prediction of the average number of hours a person
spends at work every week if that person spends an average of 10 hours on recreational
activities every week?
A 33 h
B 85 h
C50 h
D 65 h
Answers
Answer:
your answer will be H. 85
Step-by-step explanation:
hope it helps u
have a wonderful day!!!
Answer:
h.85
Step-by-step explanation:
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Answers
Answer:
y=-2/3+3
Step-by-step explanation:
In hockey, Ed makes 7 goals for every 10 shots. If he takes 6 shots, what is the probability that he will make at least 5 goals?
Answers
================================================================
Explanation:
Let's consider the case where Ed makes all 6 shots. The probability of this happening is (7/10)^6 = 0.117649
Let A = 0.117649 so we can use it later.
----------------
Now consider the case where Ed makes exactly 5 shots. So he misses exactly 1 shot. Furthermore, consider the case where his first shot is a miss and the remaining 5 shots are successful.
The probability of getting the first shot a miss and the remaining 5 successful is (3/10)*(7/10)^5 = 0.050421
Note how 3/10 and 7/10 add to 1. The 3/10 is the probability of getting a miss (since he makes 7 goals for every 10 shots, he misses those 3 goals).
The value 0.050421 represents the probability for that first shot being a failed attempt while the rest are successful shots. Since there are 6 slots total, this means 6*0.050421 = 0.302526 represents the probability of missing exactly one goal and hitting the others. By this point, we aren't making the failed attempt at slot 1. It could be at any slot. For instance, the failed attempt could be at slot 4.
In other words, 0.302526 is the probability of making exactly 5 shots.
Let B = 0.302526
----------------
To recap,
A = probability of getting all 6 shots in the goal (no failed attempts).B = probability of getting exactly 5 shots in the goal (exactly one attempt failed).These two events are mutually exclusive. They cannot happen at the same time. That allows us to add the values of A and B to get the final answer
A+B = 0.117649+0.302526 = 0.420175
Therefore, A+B = 0.420175 represents the probability of either getting all 6 shots in the goal OR getting exactly five shots in the goal.
In short, 0.420175 represents the probability of making at least 5 shots. The phrasing "at least 5" means "5 or more".
-----------------
If you wanted to calculate this in one line, then you could say
(7/10)^6 + 6*(3/10)*(7/10)^5 = 0.420175
This decimal value is exact.
10cm
What is the height of the triangle is the area is 40 ?
Answers
Answer:
8 cm
Hope that helps!
Step-by-step explanation:
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There are currently 3 people signed up for the debate club. The school will not recognize the club officially until it has more than 5 members.
Which of the following graphs includes the possible values for the number of people who still need to sign up to make the club "official?"
Number line with closed circle on 2 and shading to the left.
Number line with closed circle on 2 and shading to the right.
Number line with open circle on 2 and shading to the left.
Number line with open circle on 2 and shading to the right.
Answers
Answer:
Number line with closed circle on 2 and shading to the right
Step-by-step explanation:
Due to this being a speedy answer, I will forego and explanation
Answer:
The last one so d
Step-by-step explanation:
Q4) The admission fee at a small fair is $2 for children and $4.00 for adults.
On a certain day, 350 people enter the fair and $1100 is collected.
How many children and how many adults attended?
Hint: Build up a system of two equations. Then solve it algebraically.
Consider that y is the number of kids and x is the number of adults.
Answers
9514 1404 393
Answer:
150 children200 adultsStep-by-step explanation:
The equations can be written as ...
y = 350 -x . . . . . . . . total number of people
4x +2y = 1100 . . . . . admission fees collected
Substituting for y, we have ...
4x +2(350 -x) = 1100
2x = 400 . . . . . . . . . . . . subtract 700, collect terms
x = 200
y = 350 -200 = 150
150 children and 200 adults attended the fair.
A and b are positive integers and a-b=2 ... Evaluate the following:
27^1/3 b / 9^1/2 a
There is an image attached of the problem
PLEASE TYPE ANSWER AND SHOW WORK
Answers
The value of the given expression will be 1/9.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
[tex]\rm \rightarrow \dfrac{(27)^{b/3}}{(9)^{a/2}}[/tex]
Simplify the expression, then we have
⇒ (∛27)ᵇ / (√9)ᵃ
⇒ 3ᵇ / 3ᵃ
⇒ 1/3ᵃ⁻ᵇ
⇒ 1/3²
⇒ 1/9
The value of the given expression will be 1/9.
More about the Algebra link is given below.
https://brainly.com/question/953809
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Which of the following tables of values could not represent a function?
A)
[tex]\left[\begin{array}{ccc}1&13\\4&22\\7&31\\10&40\end{array}\right][/tex]
B)
[tex]\left[\begin{array}{ccc}6&1\\12&1\\19&1\\23&1\end{array}\right][/tex]
Answers
Answer:
B
Step-by-step explanation:
Answer:
B) is not a function
Step-by-step explanation:
For an table to be a function the y axis all have to be different from each other but on B it is not, it is only 1, therefore B is not a function
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your answer is D hope this helps and mark for brainlest
if the period is pi what is the frequency
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Answer:
sorry i dont have the answer i just need points
Step-by-step explanation: