Answers
Answer:
y = -7, y = -3
Step-by-step explanation:
(y - 3)² = 2y² + 4y + 30
expand:
y² - 6y + 9 = 2y² + 4y + 30
subtract 30 from both sides
y² - 6y + 9 - 30= 2y² + 4y + 30 - 30
simplify:
y² - 6y - 21 = 2y² + 4y
subtract 4y from both sides
y² - 6y - 21 -4y = 2y² + 4y - 4y
simplify:
y² - 10y - 21 = 2y²
subtract 2y² from both sides
y² - 10y - 21 - 2y² = 2y² - 2y²
simplify:
-y² - 10y - 21 = 0
solve y by quadratic equation
- (-10) ± √ (-10² - 4(-1)(21)
y = --------------------------------------
2(-1)
y = -7, y = -3
Answer:
[tex]\Huge \boxed{y=-7 \ \ \mathrm{or} \ \ y=-3}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
[tex](y-3)^2 =2y^2 +4y+30[/tex]
Expanding brackets.
[tex]y^2-6y+9=2y^2 +4y+30[/tex]
Subtracting (y² - 6y + 9) from both sides, then switching sides.
[tex]y^2 +10y+21=0[/tex]
Factoring left side.
[tex](y+3)(y+7)=0[/tex]
Setting factors equal to 0.
[tex]\Longrightarrow y+3= 0 \\\\\\ \Longrightarrow y=-3[/tex]
[tex]\Longrightarrow y+7=0 \\\\\\ \Longrightarrow y=-7[/tex]
[tex]\rule[225]{225}{2}[/tex]
Related Questions
3, 7, 11, 15, 19, 23, ...
what’s the next number in the pattern then explain how you got the answer
Answers
Answer:
27
Step-by-step explanation:
if you add 4 to 3 you get 7 and if you add 4 to 7 you get 11 so keep adding 4 to all the numbers and you will get the next number.
Answer:
The pattern is going by 4 so your next number would be 27
Step-by-step explanation:
Count from 3 to reach 7 then you get 4 same goes for the rest of the numbers so if you count 4 more of 23 you get 27
Hope that answered ur question
*PLEASE ANSWER ASAP* Taylor is playing a board game with two friends. Using a single die, one friend rolled a one, and the other friend rolled a three. Taylor needs to roll a number higher than both friends in order to win the game, and she wants to calculate her probability of winning. What is the probability that Taylor will win the game?
Answers
Answer:
D
Step-by-step explanation:
So, one friend rolled a 1 and the other rolled a 3. Taylor needs to roll a number higher than both friends in order to win.
So, the possible numbers Taylor can roll to win are 4, 5, or 6.
Out of the six possible choices, 4, 5, and 6 is takes up 3. Thus, the chances of Taylor winning is:
[tex]3/6=50\%[/tex]
The answer is D.
(-12)^9 negative or positive
Answers
Hope you learned something :)
The Earth's atmosphere is divided into layers including the troposphere, stratosphere, mesosphere, etc. The troposphere is the layer that is closest to the Earth's surface. The distance from Earth and the troposphere's temperature have a negative association. Interpret the meaning of the negative association with respect to the temperature. As you move closer to the Earth, the temperature decreases. As you move away from the Earth, the temperature increases. As you move closer to the Earth, the temperature remains the same. As you move away from the Earth, the temperature remains the same. As you move away from the Earth, the temperature decreases.
Answers
Answer:E
Step-by-step explanation:
just took the test
The atmosphere is divided into five different layers, based on temperature.
Which layer of the atmosphere is divided into layers?The graphic below illustrates how the layers of the atmosphere can be separated based on temperature.The troposphere, stratosphere, mesosphere, and thermosphere are those layers.The exosphere is a different zone that starts roughly 500 km above the surface of the Earth. Based on temperature, the atmosphere is separated into five distinct strata.The troposphere, which is located between five and ten miles (or seven and 15 kilometers) above Earth's surface, is the layer that is closest to the surface.The troposphere is significantly thinner near the North and South Poles than it is at the equator. The atmosphere of Earth includes five primary layers and a number of minor ones.The troposphere, stratosphere, mesosphere, thermosphere, and exosphere are the primary layers, in order from lowest to highest.Troposphere.
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The effect of the time of day a psychology class is taught on test scores is
being studied in an experiment. The difficulty of test questions has been
identified as an extraneous factor that could also affect test scores. How ca
the difficulty of test questions best be addressed to minimize its effect in th
experiment?
O A. Blocking into groups based on the teacher of the class
O B. Replication of the experiment at different times of the year
O C. Randomization of students in morning and afternoon classes
D. Direct control by requiring every class to take the same test
Answers
The correct answer will be option C Randomization of students in morning and afternoon classes.
What is psychology?Psychology is the scientific study of the mind and behavior, according to the American Psychological Association.
The only way to minimize this effect would be through randomization of students in morning and afternoon classes.
Doing so apply the factor of skill from an individual student to either time of day class greatly lessens the overall effect that it has on the results.
This therefore, minimizes the effect it has on the experiment itself, since the same students that have been studying in a certain time of day would be randomized and not have the same environment that they are used to.
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Answer:
Step-by-step explanation:
Direct control by requiring every class to take the same test
Tamara earns $15 an hour at her job working 30 hours per week. If her net pay is 72% of her paycheck and she has no other sources of income, what is Tamara’s monthly cash inflow? (Assume there are 4 pays per month )
Answers
Answer:
126
Step-by-step explanat
(30)(15) - (72%)
Answer:
$1296
Step-by-step explanation:
paycheck in 1 month: $15/hour * 30 hours/week * 4 weeks/month = $1800/month
net pay = 72% of paycheck in 1 month = 72% of $1800 =
= 0.72 * $1800 = $1296
what does this symbol mean
Answers
Answer:
false contradiction
Step-by-step explanation:
The '⊥' symbol stand for false contradiction. The up tack or falsum ('⊥') is a constant symbol used to represent: The bottom element in lattice theory. ... A logical constant denoting "false" in logic.
Step-by-step explanation:
The symbol shows to be perpendicular since the vertical line is dividing the horizontal in half with an angle of 90 I guess
What is the solution set for the inequality?
-6x+9>7x+74
Answers
Answer:
Step-by-step explanation:
- 6x + 9 > 7x + 74
Treat them as being equal first.
Subtract 9 from both sides.
- 6x + 9 - 9 > 7x + 74 - 9
- 6x > 7x + 65
Subtract 7x from each side
- 6x - 7x > 7x - 7x + 65
- 13x > 65
Divide each side by -13
- 13x / -13 > 65 / -13
x < -5
So x hust be smaller than -5 meaning -6 works but -4 doesn't.
Evaluate p/2-5 when p=14
Answers
Answer:
[tex] - 4.67[/tex]
Step-by-step explanation:
[tex] \frac{p}{2 - 5} = \frac{14}{2 - 5} = \frac{14}{ - 3} = - 4.67[/tex]
Write the equation of the line that passes through (1, 5) and (−2, 14) in slope-intercept form. (2 points) y = 3x + 2 y = 3x + 8 y = −3x − 2 y = −3x + 8
Answers
Answer:
work shown and pictured
Hailey signed up for a streaming music service that costs $14 per month. The service allows Hailey to listen to unlimited music, but if she wants to download songs for offline listening, the service charges $1.50 per song. How much total money would Hailey have to pay in a month in which she downloaded 40 songs? How much would she have to pay if she downloaded ss songs?
Answers
Answer:
The total is: 74$
Step-by-step explanation:
1.50$ times 40 equals 60. Then you have to add up the cost you usually get per month which is 14$. 60 plus 14$ = 74$
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The total money to pay in a month in which she downloaded 40 songs is $74.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Cost per month for streaming music = $14
Cost per song for download = $1.50
Total cost for downloading 40 songs.
= 40 x 1.50
= $60
The total cost for the month.
= Monthly charges + Cost of downloading 40 songs
= $14 + $60
= $74
Thus,
The total money to pay in a month in which she downloaded 40 songs is $74.
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4 books for 1$12.00 3 books for $9.00 What is the price per book? What is the constant of proportionality
Answers
Answer:
the price per book is $3 the constant of proportionality is 3
Step-by-step explanation:
12 divided by 4 is 3 and 9 divided by 3 is 3 so it means that the price for 1 book is going to be 3 and for every book you buy the original value will be 3.
is -12, -10, -8, and -6 linear, exponential or neither
Answers
Answer:
Linear
Step-by-step explanation:
It goes up by 2 each time, so it would be linear.
12v+10v+14=80 solve the equation
Answers
Answer:
v=3
Step-by-step explanation:
If f(x) = x-5 and g(x) = 3x2-1,
what is (fºg)(x)?
Answers
Answer:
[tex](f\circ \: g)(x) = {3x}^{2} - 6[/tex]Step-by-step explanation:
f(x) = x - 5
g(x) = 3x² - 1
To find (fºg)(x) substitute g(x) into f(x) that's for every x in f (x) replace it with g (x)
That's
[tex](f\circ \: g)(x) = 3 {x}^{2} -1 - 5 [/tex]We have the final answer as
[tex](f\circ \: g)(x) = {3x}^{2} - 6[/tex]Hope this helps you
4a4 − 2b2 + 40 when a = 2 and b = 7.
Answers
Answer:
44
Step-by-step explanation:
4(2)4 - 2(7)2 + 40
32 - 28 + 40
44
Answer: 6
Step-by-step explanation:
4a^4-2b^2+40, given a=2 and b=7
4a^4-2b^2+40
=4(2)^4-2(7)^2+40
=4(16)-2(49)+40
=64-98+40
=-34+40
=6
Hope this helps!! :)
Please let me know if you have any question
How can you plot a point using its (x,y) coordinates?
Answers
Answer:
each
Step-by-step explanation:
A rectangle has a length of 20 inches. if its perimeter is 64 inches, what is the area?
Answers
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf 240 \: {inches}^{2} }}}}[/tex]
Step-by-step explanation:
Given,
Length of a rectangle = 20 inches
Perimeter of a rectangle = 64 inches
Area of a rectangle = ?
Let width of a rectangle be ' w ' .
First, finding the width of a rectangle
[tex] \boxed{ \sf{perimeter = 2(l + w)}}[/tex]
plug the values
⇒[tex] \sf{64 = 2(20 + w)}[/tex]
Distribute 2 through the parentheses
⇒[tex] \sf{64 = 40 + 2w}[/tex]
Swap the sides of the equation
⇒[tex] \sf{40 + 2w = 64}[/tex]
Move 2w to right hand side and change it's sign
⇒[tex] \sf{2w = 64 - 40}[/tex]
Subtract 40 from 64
⇒[tex] \sf{2w = 24}[/tex]
Divide both sides of the equation by 2
⇒[tex] \sf{ \frac{2w}{2} = \frac{24}{2} }[/tex]
Calculate
⇒[tex] \sf{w = 12 \: inches}[/tex]
Width of a rectangle ( w ) = 12 inches
Now, finding the area of a rectangle having length of 20 inches and width of 12 inches
[tex] \boxed{ \sf{area \: of \: rectangle = length \: \times \: \: width}}[/tex]
plug the values
⇒[tex] \sf{area \: of \: rectangle =20 \times 12 }[/tex]
Multiply the numbers : 20 and 12
⇒[tex] \sf{area \: of \: rectangle = 240 \: {inches}^{2} }[/tex]
Hence, Area of a rectangle = 240 inches²
Hope I helped !
Best regards!
whats the answer to this
Answers
Answer:
Step-by-step explanation:
sweet
indeed some help me plz
Answers
Answer:
3
Step-by-step explanation:
15-2x=3x
or,3x+2x=15
or,5x=15
or,x=15/5
Therefore, x=3.
Where can you put parenthese so that the answer is correct 28-24/4•2=25
Answers
Answer:
This really is about trial and error
28-24/(4*2)=25
Step-by-step explanation:
If you do this correctly, the numbers you'll get are 28-3 = 25!
Hope this helps!! :)
Answer:
I think this is the answer
Help please I am confused inverse variation problem
Answers
Answer:
y =2
Step-by-step explanation:
Inverse variation is of the form
xy = k
3*6 = k
18 = k
xy = 18
Now when x = 9, find y
9*y = 18
Divide by 9
y = 18/9
y =2
When x =9, y =2
Answer:
y = 2
Step-by-step explanation:
y = 6 ⇔ x= 3
y = ? ⇔ x = 9
y = 6*3/9
y = 2
HW Score: 10%,
2 of 5 (1 completo)
Score: 0 of 1 pt
Question Help
2.2.23
A delivery person uses a service elevator to bring boxes of books up to an office. The delivery person weighs 190 lb and each box of books weighs 60 lb. The maximum capacity of the elevator is 1140 b. How many boxes of
books can the delivery person bring up at one time?
Answers
Miss K wants to get Portillos with 5 of her teacher
friends. She decides to split a pizza and 6 drinks. If the
pizza cost $11.50, and they spend a total of $18.50,
how much does one drink cost?
Show ALL work in this box!
Answers
Answer: $1.17 per drink
Step-by-step explanation:
Let x=the cost of one drink
11.5+6x=18.5
subtract 11.5 on both sides
11.5+6x-11.5=18.5-11.5
6x=7
Divide 6 on both sides
6/6 x=7/6
x=7/6
7/6≈$1.17
Hope this helps!! :)
Please let me know if you have any question
Henrique began to solve a system of linear equations using the linear combination method. His work is shown below Complete the steps used to solve a system of linear equations by substituting the value of y into one of the original equations to find the value of x. What is the solution to the system?
Answers
Complete question is;
Henrique began to solve a system of linear equations using the linear combination method. his work is shown below
1. 3 (4x-7y=28) -> 12x-21y=84
-2 (6x-5y=31) -> -12x 10y =62
2. 12x - 21y = 84
-12x + 10y = -62
-----------------------
-11y = 22
3. y= -2
complete the steps used to solve a system of linear equations by substituting the value of y into one of the original equation s to find the value of x. what is the solution to the system
Answer:
x = 3.5
Step-by-step explanation:
We are given;
1. 3(4x - 7y = 28) -> 12x - 21y = 84
-2(6x - 5y = 31) -> -12x + 10y = 62
2. 12x - 21y = 84
-12x + 10y = -62
-----------------------
-11y = 22
3. y= -2
Since y = - 2, let's put -2 for y into the equation; 12x - 21y = 84
This gives;
12x - 21(-2) = 84
This gives;
12x + 42 = 84
12x = 84 - 42
12x = 42
x = 42/12
x = 3.5
What is the square root of 255
Answers
Answer:
the square root of 225 is 15.9
Answer:
15.♾
Step-by-step explanation:
The temperature is at -2 F at 6A.M. During the next three hours, the temperature increases to 15F. What is the temperature at 9A.M. Enter your answer in integer form
Answers
Answer:
Temperature at 9 A.M = 13° F
Step-by-step explanation:
Given:
Temperature at 6 A.M = - 2° F
Temperature increases in 3 hours = 15° F
Find:
Temperature at 9 A.M
Computation:
Temperature at 9 A.M = Temperature at 6 A.M + Temperature increases in 3 hours
Temperature at 9 A.M = - 2° F + 15° F
Temperature at 9 A.M = 13° F
What is the solution to this system of equations?
x+y=7
x=y+3
(i’ve never understood ones like this so please help!!)
Answers
Answer:
x=5 and y=2
Step-by-step explanation:
[tex]x=y+3\\x=2+3\\x=5[/tex] [tex]x+y=7\\y+3+y=7\\2y+3=7\\2y=7-3\\2y=4\\ \frac{2y}{2}=\frac{4}{2}\\ y=2[/tex]
The solution of the system, x + y = 7, x = y + 3 is x = 5 and y = 2.
What is the equation?Equation: A statement that two variable or integer expressions are equal. In essence, equations are questions, and the motivation for the development of mathematics has been the systematic search for the answers to these questions.
Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign. It shows that the expressions printed on the left and right sides have an equal relationship.
Given:
x + y = 7
x = y + 3
Write both equations as shown below,
x = -y + 7
x = y + 3
Add both equations,
x + x = -y + y + 7 + 3
2x = 10
x = 5,
5 = y + 3
y = 5 - 3
y = 2
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Please help! I will mark brainliest.
Answers
Ankit makes 74% of the free throws he takes in his basketball league. If he is fouled on a three-point shot and gets three free throws, what is the approximate probability he will make all three shots?
Answers
The approximate probability that Ankit will make all three shots is 0.405 or 40.5%.
What is binomial distribution?A probability distribution known as the binomial distribution is used to characterize the number of successes in a certain number of independent trials, where each trial has only one of two potential outcomes (success or failure) and the chance of success is constant across all trials. For determining the likelihood of achieving a certain number of successes in a set number of trials, it is utilised.
Given, Ankit makes 74% of the free throws.
Using binomial distribution we have:
[tex]P(X=k) = (n C k) * p^k * (1-p)^{(n-k)}[/tex]
For k = 3 we have:
[tex]P(X=3) = (3 C 3) * 0.74^3 * (1-0.74)^{(3-3)}\\\\P(X=3) = 0.74^3[/tex]
P(X=3) ≈ 0.405
Hence, the approximate probability that Ankit will make all three shots is 0.405 or 40.5%.
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