Which equation is the inverse of 5y+4= (x+3)²+12?
O y = x²+x+1100
y=3± √√5x+ 7/2
O-5-4--(x+3)²--1/
O
O y=-3± √5x+
7
Answers
The equation that is the inverse of 5y+4= (x+3)²+12 is y = -3 ± √(5x - 8)
Which equation is the inverse of 5y+4= (x+3)²+12?From the question, we have the following parameters that can be used in our computation:
5y+4= (x+3)²+12
Swap x and y in the equation
So, we have
5x + 4= (y + 3)² + 12
When we make the vairiable y the subject, we have
y = -3 ± √(5x - 8)
Hence, the equation that is the inverse of 5y+4= (x+3)²+12 is y = -3 ± √(5x - 8)
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Related Questions
Find the measure of angle x. Round your answer to the nearest hundredth.
Answers
Answer:
28.07°
Step-by-step explanation:
use SohCahToa
in this case we use tan^-1 to get the angle x°
tan^-1(8/15)=28.07248694
to the nearest hundredth
=28.07°
Find the missing angle
RPQ= __________
Answers
The value of angle RPQ in the circle is 115 degrees.
How to find the angle in the circle?Using angles of intersecting chord theorem, If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.
Therefore,
∠RPQ = 1 / 2 (arc angle RQ + arc angle SA)
arc angle RQ = 175 degrees
arc angle SA = 55 degrees
Hence,
∠RPQ = 1 / 2 (175 + 55)
∠RPQ = 1 / 2 (230)
∠RPQ = 115 degrees.
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Answer: 115 degrees
Step-by-step explanation:∠
RPQ = 1 / 2 (175 + 55)
∠RPQ = 1 / 2 (230)
∠RPQ = 115 degrees.
Jared has earned 23% of the $52 he needs to buy a new jacket. Find 23% of $52.
Which expression can you use to find 23% of 52? ..
23% of $52 is $..
An easy way to check your answer is to use the friendly and divide 52 by to get ..
Answers
Answer:
Which expression can you use to find 23% of 52? "0.23 x 52"
23% of $52 is $. "11.96"
An easy way to check your answer is to use the friendly 25% and divide 52 by 4 to get 13.
Step-by-step explanation:
just did it good luck everyone
23% of $52 is $11.96.
In order to determine the value of 23% of $52, we would multiply 23% by $52. Multiplication is a basic mathematical operation that entails adding a certain number by itself a certain number of times. The sign used to represent multiplication is ×.
23% x 52
= 0.23 x 52 = $11.96
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I need help and NO LINKS
Answers
Jody wrote the equation of the line graphed as y = 1/2x+2. How do you know that Jody's equation is incorrect?
Answers
we know that
The graph show a line with negative slope and Jody's equation have a positive slope
therefore
the answer is
first option
2
5. Many people believe that criminals who plead guilty tend to get lighter sentences than those
who are convicted in trials. The accompanying table summarizes randomly selected sample
data for defendants in burglary cases in a specific city. All of the subjects had prior prison
sentences. Use a 0.05 significance level to find the critical value needed to test the claim that
the sentence (sent to prison or not sent to prison) is independent of the plea.
Sent to prison
Not sent to prison
Guilty Plea
392
564
Not-Guilty Plea
58
14
(1 point)09.488
03.841
042.557
05.991
Answers
Answer:
Is 03.841
Step-by-step explanation:
To find the critical value needed to test the claim that the sentence is independent of the plea, we need to perform a chi-square test of independence. The critical value is based on the significance level (α) and the degrees of freedom.
In this case, the given significance level is 0.05. Since the table represents a 2x2 contingency table (two categories for plea and two categories for sentence), the degrees of freedom (df) can be calculated as (number of rows - 1) * (number of columns - 1) = (2 - 1) * (2 - 1) = 1.
To find the critical value at a significance level of 0.05 with 1 degree of freedom, we consult a chi-square distribution table or use statistical software.
The critical value for a chi-square test with 1 degree of freedom and a significance level of 0.05 is approximately 3.841.
Therefore, the correct answer is 03.841.
PLEASE HELP!!!!
Choose the equation below that is equivalent to 4(x - 7) - 2(x + 1) = -10
2x - 26 = -10
2 ( x - 6) = -10
4x - 28 - 2x - 2 = -10
4x - 28 - 2x +2 = -10
Answers
Step-by-step explanation:
=4(x)+4(-7)-2(x)-2(1) = -10
= 4x-28-2x-2= -10
therefore the third equation is equivalent to the given equation..all you need is to simplify.
Hope this Helps!!!
6. Meryll made a pancake with a circumference of 125.6 cm. What is its area? (A) 884 cm² (B) 1 256 cm² (C) 1 468 cm²
Answers
Answer:
(B) 1256 cm²---------------
Let the radius be r.
Use circumference formula and find the value of r:
C = 2πr125.6 = 2*3.14rr = 125.6/6.28r = 20Find the area using the circle area formula:
A = πr²A = 3.14*20²A = 1256The matching choice is (B).
Answer:
Step-by-step explanation:
Review the simple interest rate based on FICO scores to answer the question:
FICO Score Simple Interest Rate
800–850 5.295%
740–799 6.597%
670–739 9.132%
580–669 10.358%
300–579 14.313%
Kamryn plans to borrow $13,250.00 with a simple interest rate loan. Determine the amount of interest Kamryn will save if she is able to raise her credit score from 665 to 680.
Answers
Kamryn would save $159.99 in interest by raising her credit score from 665 to 680 when borrowing $13,250.00 with a simple interest rate loan.
To determine the amount of interest Kamryn will save by raising her credit score from 665 to 680, we need to compare the interest rates associated with each credit score range.
According to the given information, a credit score of 665 falls within the range of 580-669, where the corresponding simple interest rate is 10.358%.
Let's calculate the interest Kamryn would pay on a loan of $13,250.00 at an interest rate of 10.358%.
Interest = Principal * Rate
= $13,250.00 * 0.10358
≈ $1,370.56
Therefore, if Kamryn were to borrow $13,250.00 with a credit score of 665, she would pay approximately $1,370.56 in interest.
Now, let's consider the scenario where Kamryn raises her credit score to 680. A credit score of 680 falls within the range of 670-739, where the corresponding simple interest rate is 9.132%.
Calculating the interest with a credit score of 680:
Interest = Principal * Rate
= $13,250.00 * 0.09132
≈ $1,210.57
Thus, if Kamryn were able to raise her credit score from 665 to 680, she would save approximately $1,370.56 - $1,210.57 = $159.99 in interest.
Therefore, Kamryn would save approximately $159.99 in interest by raising her credit score from 665 to 680 when borrowing $13,250.00 with a simple interest rate loan.
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User=2 anor=5 to determine if the two expressions
are equivalent
1+2+)-12 8+2-6
Complete the statements
When r=2 the first expression is
When r=2 the second expression is 6
When r=5, the first expression is 21
When r=5. the second expression is
The expressions are not equivalent
Answers
Answer:
12x+4x-7y+45b+78a-44b+1a+1z+0d+1.1a+1.1a+2+2+2
When 334 college students are randomly selected and surveyed, it is found that 103 own a car. Find a 99% confidence interval for the true proportion of all college students who own a car.
Answers
Answer:
(.24329, .3734)
Step-by-step explanation:
1-propzint
n=334
x=103
c level .99
classify the following differential equation s given in both standard and differential form. Q5 only
Answers
y' = 2xy + x
Rewriting it in differential form, we get:
(2xy + x)dx - dy = 0
This is a first-order linear differential equation, which can be written in the form:
y' + P(x)y = Q(x)
where P(x) = -2x and Q(x) = x.
Therefore, the differential equation is a first-order linear differential equation.
find all missing angles in the diagram below
please help ‼️
Answers
What is the domain of the set of points (1, -1), (2, -2), and (3, -3)?
Answers
Answer:
domain =(1 2 3) and range = (-1 -2 -3)
Find the value of a in the parallelogram. (6a - 4) (2a +68)
Answers
Answer:
8a×64
Step-by-step explanation:
This is right because you have to add the two numbers with the variable and add the regular numbers
Mark owns a personal training business. He makes a total of $500 for every 3 clients he acquires. How much money will 21 clients bring in?
Answers
Answer:
$3,500
Step-by-step explanation:
500:3
3x7=21
500x7=3,500
$3,500 for 21 cilents
Answer:
3,500 is the answer of this question
Find the Volume if the height is 10 cm and radius 3
cm? hurry I’ll give 10 points!
Answers
Answer:
60cm
Step-by-step explanation:
radius of 3 ×2=6
6 is your diamiter
6×10=60your answer
A frog jumps 9 3/5 feet in the span of 2 2/3 seconds. Express as a complex fraction and then find the unit rate, in feet per second, that the frog is moving at. Express any improper fractions as mixed numbers.
Answers
Answer:
3 3/5 feet per seconds
Step-by-step explanation:
If a frog jumps 9 3/5 feet in the span of 2 2/3 second, we want to calculate the number of feet it can jump in one seconds.
Since it jumps 9 3/5 feet in the span of 2 2/3 second, we can express this as:
9 3/5 feet = 2 seconds ... 1
The number of feet per seconds will be expressed as:
x = 1secs.... 2
Divide equation 1 by 2 as shown:
9 3/5 ÷ x = 2 2/3 ÷ 1
48/5x = 8/3
Cross multiply
5x * 8 = 48 * 3
40x = 144
10x = 36
5x = 18
x = 18/5
Express as a mixed fraction:
18/5 = 3 3/5ft/secs
Hence the frog is moving at 3 3/5 feet per seconds
Solve the equation. Please help
Answers
\(\cfrac{2y}{3}-\cfrac{3}{4}=\cfrac{1}{12}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{12}}{12\left( \cfrac{2y}{3}-\cfrac{3}{4} \right)=12\left( \cfrac{1}{12} \right)}\implies 8y-9=1 \\\\\\ 8y=10\implies y=\cfrac{10}{8}\implies y=\cfrac{5}{4}\)
Step 1: Add 3/4 on both sides
We get
2y/3 = 1/12+3/4
We add fractions by calculating a common denominator, adjusting the numerators accordingly and adding them. See this in action below:
12 and 4 have a common multiple in 12 which will be our common denominator. Now, 1/12 does not need to be adjusted, but 3/4 becomes 3*3 / 3*4 = 9/12.
In total 1/12 + 9/12 = 10/12
So, we have 2y/3 = 10/12
Now we multiply both sides by 3, so that the 3 will cancel out the 3 in the denominator on the left side:
2y =30/12
Now we just need to divide by 2 and get the solution:
y = 15/12 = 3*5 / 3*4 = 5/4
Therefore the final answer is A:
The solution set is {5/4}
2) Subtract and simplify. 11 7\10 − 7 3\10 =
Answers
Answer:
4 2/5
Step-by-step explanation:
11 7/10
- 7 3/10
----------------
4 4/10
4 4/10 = 4 2/5
Gabby sells candy bars for $ 1 dollar each, and Twizzlers for 25 cents each. For every dollar she earns she gives 10 cents to charity. If She sells 42 candy bars and 45 Twizzlers, how much money will she have for herself after giving to charity? Write an expression and evaluate.
Answers
Answer:
$47.925 for herself.
Step-by-step explanation:
Answer:
Step-by-step explanation:
42+11.25 =52.35
52.35*.10
5.235$
I hope this is the right answer
find csc theta and sin theta if tan theta = 7/4 and sin theta less than 0
Answers
9514 1404 393
Answer:
sin(θ) = (-7√65)/65
csc(θ) = (-√65)/7
Step-by-step explanation:
The angle will have the given characteristics if its terminal ray passes through the 3rd-quadrant point (-4, -7). The distance from the origin to that point is ...
d = √((-4)² +(-7)²) = √65
The sine of the angle is the ratio of the y-coordinate to this value:
sin(θ) = -7/√65
sin(θ) = (-7√65)/65
The cosecant is the inverse of the sine
csc(θ) = (-√65)/7
If two lines intersect and one of the angles formed has a measure of 67º, which of the following statements are true? Explain your answers
More than one answer may be correct, select all correct answers
A: Vertical angles are congruent, therefore another angle must equal 67º
B: The lines form linear pairs
C: The lines form complementary angles
D: One of the angles formed measures 23º
E: Two of the angles formed measure 113º
F: Two of the angles formed will have a sum of 180º
G: None of the above
Answers
The statements that are true are:
A : Vertical angles are congruent, therefore, another angle must equal 67°
F: Two of the angles formed will have a sum of 180°
What happens when two lines intersect?
When two lines intersect, their vertical angles are always the same and the sum of the two angles on a straight line is 180°
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In a lottery game, a player picks 6 numbers from 1 to 48. if 4 of those 6 numbers match those drawn, the player wins third prize. let's walk through the steps to determine the probability of winning third prize.In how many ways can 4 winning numbers be chosen from the possible 6 numbers?In how many ways can 2 non-winning numbers be chosen from the pool of all non-winning numbers? The number of favorable outcomes would be to multiply the above two answers together, since we want 4 winning numbers and 2 non-winning numbers. What is the number of favorable outcomes? In how many ways can you pick any 6 numbers from the pool of 50 numbers? This is your total outcomes. What is the probability of winning third prize?
Answers
The probability of winning third prize in the lottery game is 0.0011 or about 0.11%.
In the given lottery game, the player picks 6 numbers from 1 to 48.
The number of ways 4 winning numbers can be chosen from the possible 6 numbers is calculated using the combination formula: C(6,4) = 15.The number of ways 2 non-winning numbers can be chosen from the pool of 42 non-winning numbers (total numbers - possible winning numbers) is calculated using the combination formula: C(42,2) = 861.The number of favorable outcomes is the product of the above two answers: 15 x 861 = 12,915.The total number of ways you can pick any 6 numbers from the pool of 48 numbers is calculated using the combination formula: C(48,6) = 12,271,512.The probability of winning third prize is the number of favorable outcomes divided by the total number of outcomes: 12,915 / 12,271,512 ≈ 0.0011 or about 0.11%. Therefore, the probability of winning third prize in this lottery game is relatively low.Learn more about probability:
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Let's roll two dice and find the probability of rolling a certain sum. Is this a simple or compound event?
Two dice - Red and Blue
Recall that a simple event has one and only one outcome of interest. In this example, we are rolling two dice, but we are only interested in one outcome, the sum of the two dice. This is a simple event.
What is the probability of:
Rolling a sum of 1?
Rolling a sum of 3?
Rolling a sum of 12?
Rolling a sum of 7?
Since we are rolling a pair of dice and looking for the sum, the sample space is a little more complicated than rolling one die. The chart below will help us determine the possible outcomes. The top row indicates the numbers on the sides of the blue die and the first column represents the number on the sides of the red die. The white area indicates the sum of the numbers in the row and column.
# Rolled 1 2 3 4 5 6
1 1+1=2
1
+
1
=
2
1+2=3
1
+
2
=
3
1+3=4
1
+
3
=
4
1+4=5
1
+
4
=
5
1+5=6
1
+
5
=
6
1+6=7
1
+
6
=
7
2 2+1=3
2
+
1
=
3
2+2=4
2
+
2
=
4
2+3=5
2
+
3
=
5
2+4=6
2
+
4
=
6
2+5=7
2
+
5
=
7
2+6=8
2
+
6
=
8
3 3+1=4
3
+
1
=
4
3+2=5
3
+
2
=
5
3+3=6
3
+
3
=
6
3+4=7
3
+
4
=
7
3+5=8
3
+
5
=
8
3+6=9
3
+
6
=
9
4 4+1=5
4
+
1
=
5
4+2=6
4
+
2
=
6
4+3=7
4
+
3
=
7
4+4=8
4
+
4
=
8
4+5=9
4
+
5
=
9
4+6=10
4
+
6
=
10
5 5+1=6
5
+
1
=
6
5+2=7
5
+
2
=
7
5+3=8
5
+
3
=
8
5+4=9
5
+
4
=
9
5+5=10
5
+
5
=
10
5+6=11
5
+
6
=
11
6 6+1=7
6
+
1
=
7
6+2=8
6
+
2
=
8
6+3=9
6
+
3
=
9
6+4=10
6
+
4
=
10
6+5=11
6
+
5
=
11
6+6=12
6
+
6
=
12
How many outcomes are in the sample space? Answer
Answers
Answer:
the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.
Give slope for these points blah blah blah blah blah blah blah blah blah blah blah blah blah blah blah blah blah blah blah blah blah blah blah blah blah blah blah blah blah blah
Answers
The slope equation is: \(\frac{y_2 - y_1}{x_2 - x_1}\).
The slope of the points (0, 2) and (1, -3) is: -5
The slope of the points (-5, -8) and (10, 12): 4/3
First graph: m = 1
Second graph: m = -2/3.
What is the Slope of a Line?The slope of a line is calculated using the formula below:
Slope (m) = rise/run = change in y / change in x = \(\frac{y_2 - y_1}{x_2 - x_1}\)
Therefore, the equation of the slope is expressed as: \(\frac{y_2 - y_1}{x_2 - x_1}\).
Find the slope of the points (0, 2) and (1, -3):
m = change in y / change in x = (-3 - 2) / (1 - 0)
m = -5/1
Slope (m) = -5
Find the slope of the points (-5, -8) and (10, 12):
Slope (m) = (12 -(-8)) / (10 - (-5))
m = 20/15
m = 4/3
Find the slope of the first graph:
Slope (m) = rise/run = 1/1
m = 1
The slope of the second graph = rise/run = -2/3.
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Multiply (-4)(-2)(-5)
Answers
Answer:
-40
Step-by-step explanation:
So what this question is basically saying is that you have to multiply -4 by -2 first to get 8 and then you multiply that by -5 hence getting the answer of -40
Add mixed numbers with unlike denominators word problems
answer is 7 3/4
Answers
The mixed numbers that can be added to get 7 3/4 will be 6 1/2 and 1 1/4.
What are mixed numbers?It should be noted that a mixed number is a combination of a whole number and a fraction. An example is if you have two whole apples and one half apple, then you could describe this as 2 + 1/2 apples, which will be 21/2 apples
A mixed number is a number consisting of a whole number and a proper fraction. Therefore, the mixed numbers that can be added to get 7 3/4 will be:
= 6 1/2 + 1 1/4
= 6 2/4 + 1 1/4
= 7 3/4
Therefore, the mixed numbers that can be added to get 7 3/4 will be 6 1/2 and 1 1/4.
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Does this table represent a function? Why or why not?
Answers
Answer:
B
Step-by-step explanation:
Yes because every x value corresponds to exactly one y value.
Answer: B
Step-by-step explanation: The basic idea of a function is you put in some value for x and you get out something for y.
So for a table to be a function, each x term
needs to corresponds to exactly one y-term.
So yes, every x-value corresponds to exactly one y-value.
A common mistake would be to say that this is not a function
because the y-value of 3 repeats twice.
However, that's ok because you don't get
different y-values for the same x.
Given f of x is equal to the quantity x plus 6 end quantity divided by the quantity x squared minus 9x plus 18 end quantity, which of the following is true?
f(x) is decreasing for all x < 6
f(x) is increasing for all x > 6
f(x) is decreasing for all x < 3
f(x) is increasing for all x < 3
Answers
Answer: f(x) is increasing for all x < 3
D
Step-by-step explanation: I got the answer right on FLVS
Trust me I got 100%