Answer:
y = -1
Step-by-step explanation:
1/2 of 4y + (y + 3) = 0
1/2 X 4y + (y + 3) = 0
4y/2 + (y + 3) = 2y + y + 3 = 0
3y = -3
∴ y = -1
Answer:
1/2*4*y+(y*3)
1/2*4*y+(3y)
1/2*4y+(3y)
2y+(3y)
=5y
Step-by-step explanation:
Which is f(5) for the function –2x2 + 2x – 3?
–107
–63
–43
–37
Answer: C
Step-by-step explanation:
Answer:
(C) -43
Step-by-step explanation:
♥☺
-3(2x -1) plz help, asap will give brainliest
Answer:
Hey there!
-3(2x-1)
-6x+3
Let me know if this helps :)
Answer:
[tex]- 6x + 3[/tex]
Step-by-step explanation:
[tex] - 3(2x - 1) \\ = - 6x + 3[/tex]
Given T(x, y)=(x+2, y+5), state the translation S(x, y) that would yield the identity transformation, I=S(T(x,y)).
Answer:
The translation S(x, y) for the identity transformation, I = ST(x, y) is S(x, y) = ( x - 2, y + 5)
Step-by-step explanation:
Identity transformation is the transformation that results in the copying of the source data to the destination data without change.
Given that T(x, y) = (x + 2, y + 5)
The identity transformation I = S(T(x, y)) that would allow a data (x, y) to remain the same at the destination after the transformation T(x, y) is given as follows;
Where S(x, y) = ( x - 2, y + 5), we have;
S(T(x, y)) = S(x + 2, y + 5) = (x + 2 - 2, y + 5 - 5) = (x, y)
Therefore the translation S(x, y) that would yield the identity transformation, I = ST(x, y) is S(x, y) = ( x - 2, y + 5).
1. Write the interval shown on the number line
below
3 4 5 6 7 8
as an inequality
using set notation
Answer:
[tex]x\geq 5[/tex]
[tex]\{x\ |\ x \geq 5\}[/tex] OR {5, 6, 7, 8, .....}
Step-by-step explanation:
First of all, let us have a look at the interval shown on the number line and try to understand it properly.
The number line shows positive numbers starting from 3 that means numbers indicated will be positive numbers.
The number highlighted starts from 5 and there is filled circle at 5.
So, 5 is included in the interval.
The arrow is from 5 towards 8 and so on..
That means Numbers greater than or equal to 5 are represented by the interval.
So, writing as an inequality
Let [tex]x[/tex] represents one of the numbers.
Hence, inequality can be written as:
[tex]x\geq 5[/tex]
Using the set notation:
[tex]\{x\ |\ x \geq 5\}[/tex]
OR
{5, 6, 7, 8, .....}
a train travelled from city a to city b for the first 14 hours, it travelled at an average speed of 120 km/h. for the next 10 hours it traveled at an average speed of 90 km/h
what was the average speed of the whole journey?
Answer: 107.5
Step-by-step explanation:
120 x 14= 1680
90 x 10= 900
Now you add 1680+900= 2580
Then you divide the distance (2580) between the speed (14+10)
2580/24= 107.5
You and your family attend a Broadway show in New York City. The show begins at
6:58pm and ends at 9:46pm. How many seconds long is the show?
From 7:00 to 9:46 we see it passes 2 hours and 46 minutes.
But it started 6:58 . So we add +2 minutes. 46+2 = 48
2 hours and 48 minutes.
But we must find the second form.
1 hours = 60 minutes = 3600 seconds
So, 2 hours = 120 minutes = 7200 seconds.
and 1 minutes = 60 seconds
48 minutes = 60 x 48 = 2880 seconds.
7200 + 2880 = 10080 seconds.
help please it’s my last question it should be two answers
Answer:
Choices 1 and 5
Step-by-step explanation:
155 + 166 = 25 + 296
Correct choices:
155 - 296 = 25 - 166
This is obtained by subtracting 296 and 166 from both sides of initial equation166 - 25 = 296 - 155
This is obtained by subtracting 25 and 155 from both sides of initial equationHow do you think business owners determine how much of each of their products to make?
Answer:
They determine how much to make by how much demand there is for said product from the consumer.
Step-by-step explanation:
For all x, 5-3(x-4)=
Simplify
Let's simplify step-by-step.
x(5)−3(x−4)
Distribute:
=x(5)+(−3)(x)+(−3)(−4)
=5x+−3x+12
Combine Like Terms:
=5x+−3x+12
=(5x+−3x)+(12)
=2x+12
Answer:
=2x+12
the probability that a civil servant own a car is 1/6,if two civil servants are selected at random.find the probability that
a.each own a car
b.only one owns a car
Answer:
The data we have is:
the probability that a civil servant own a car is 1/6
Two civil servants are selected at random.
a) The probability that each own a car.
Ok, here we have two events:
Person 1 haves a car.
Person 2 haves a car.
The probability of each of those events is the same, 1/6.
P1 = 1/6
P2 = 1/6
Now, the probability of both events happening at the same time is equal to the product of the individual probabilities.
P = P1*P2 = (1/6)*(1/6) = 1/36.
b) Only one has a car.
Suppose that Person 1 has the car and Person 2 has not a car.
The probability for person 1 is 1/6.
And for person 2, is the negation of having a car:
So if we have prob of having a car = 1/6
Then the probability of not having a car is = 1 - 1/6 = 5/6.
Then we have:
P1 = 1/6
P2 = 5/6.
The joint probability is:
P = P1*P2 = (1/6)*(5/6) = 5/36.
But we also have the case where person 1 does not have a car, and person 2 does have one, then we have a permutation, and the actual probability is two times the obtained above.
P = 2*(5/36) = 10/36
In a math contest of 10 problems, 5 points were given for each correct answer and 2 points were deducted for each incorrect answer. If Nancy answered all 10 problems and scored 29 points, how many correct answers did she have?
Answer:
Nancy had 7 correct answers.
Step-by-step explanation:
To solve this problem, we can set up a system of equations. Let's assign the variable c to represent the number of correct answers Nancy had and the variable i represent the number of incorrect answers she had.
We know that the total number of answers is 10 because it is given that she answered all 10 problems. This lets us set up the first equation as follows:
c + i = 10
Then, we can set up a second equation using the number of points (29 total). We know that +5 points were added for each correct response (c) and -2 points were added for each incorrect response (i). Our next equation will look like this:
5c - 2i = 29
There are many different strategies one can use to solve systems of equations. In this case, I am going to use combination. This means I am going to add the two equations together. However, first I should multiply our first equation by 2 so that the "I" variable terms cancel out. This is modeled below:
2c + 2i = 20
Now we can add the two equations:
5c + 2c +2i - 2i = 20 +29
Now we can simplify the equation by combining the like terms to get:
7c = 49
Finally, we should divide both sides of the equation by 7 in order to get the variable c by itself on the left side of the equation.
c = 7
Therefore, the correct number of responses Nancy gave was 7.
Hope this helps!
The vertices of ∆ABC are A(7,3),B(−8,6),C(0,−5). If ∆ABC is translated along the vector <−9,5>, what are the coordinates of the vertices of ∆A'B'C' ?
Answer:
The coordinates of the vertices of [tex]\bigtriangleup A'B'C'[/tex] are [tex]A'=(-2,8)[/tex], [tex]B'=(-17,-4)[/tex] and [tex]C'=(-9,0)[/tex].
Step-by-step explanation:
Let be [tex]A =(7,3)[/tex], [tex]B = (-8,6)[/tex] and [tex]C = (0,-5)[/tex] the vertices of the original triangle, as well as [tex]\vec t = \left<-9, 5\right>[/tex], the coordinates of the vertices of the new triangle are, respectively:
[tex]A' = A + \vec t[/tex]
[tex]A' = (7,3)+(-9,5)[/tex]
[tex]A' = (7-9,3+5)[/tex]
[tex]A'=(-2,8)[/tex]
[tex]B' = B + \vec t[/tex]
[tex]B' = (-8,6)+(-9,5)[/tex]
[tex]B' = (-8-9,-9+5)[/tex]
[tex]B'=(-17,-4)[/tex]
[tex]C' = C + \vec t[/tex]
[tex]C' = (0,-5)+(-9,5)[/tex]
[tex]C' = (0-9,-5+5)[/tex]
[tex]C'=(-9,0)[/tex]
The coordinates of the vertices of [tex]\bigtriangleup A'B'C'[/tex] are [tex]A'=(-2,8)[/tex], [tex]B'=(-17,-4)[/tex] and [tex]C'=(-9,0)[/tex].
6. Audrey's monthly car payment is $350 and
she needs to save at least $35 each month for
gas. If Audrey is paid $17.50 an hour, write
and solve an inequality to represent the
number of hours she must work in a month to
pay for her car payment and gas.
Answer:
22 hours
Step-by-step explanation:
For one month, Audrey has to pay $350 for her payment and $35 for gas, meaning that she will need to pay $385 per month.
$350 + $35 = $385
Audrey makes $17.50 an hour. Set up an equality to find the amount of hours she must work to pay for her car payment and gas.
17.50x > 385
(17.50x)/17.50 > 385/17.50
x > 22
Audrey must work at least 22 hours to pay for her car payment and gas.
Casey wants to buy some instruments for his niece and nephew. He has $40 to spend. Based on the prices listed below, what is the estimated total, rounded to the nearest dollar? Which explains why he can afford the tambourine and xylophone? Tambourine: $13.95
Xylophone $23.50
The estimated total to the nearest dollar is $38, so he can afford them. The estimated total to the nearest dollar is $37, so he can afford them. The estimated total to the nearest dollar is $36, so he can afford them. The estimated total to the nearest dollar is $37.45, so he can afford them.
Answer:
It’s the estimate tidal to the nearest dollar is $38 so he can offered them
Step-by-step explanation:
what is the answer to 1.2(x-3) +4 (x+7)
Answer:
5.2x + 24.4
Step-by-step explanation:
1.2(x-3) + 4 (x+7)
=1.2x - 3.6 + 4x + 28
=5.2x + 24.4
Hope this helps..
Four penguins would satisfy a polar bear's appetite for 12 hours. A polar bear has a
territory of 10 square miles. There are 1000 penguins per square mile. What percent
of penguins (number eaten divided 1000 times 100) in the 10 square miles will a wild
polar bear eat?
Answer:
0.04%
Step-by-step explanation:
If there are 1000 penguins per square miles, the total number of penguins in a 10 square miles will be 1000*10 = 10,000 penguins/10square miles
Since a polar bear has a territory of 10 square miles, and can only eat four penguins within the 10square miles;
Percentage of penguins that the polar bear can eat will be expressed as;
number of penguin eaten per 10square miles/total number of penguin per 10square miles * 100
Percentage of penguins that the polar bear can eat = 4/10,000 * 100%
Percentage of penguins that the polar bear can eat = 4/100%
Hence, the percentage of penguins that the polar bear can eat in the 10 square miles is 0.04%
evaluate the following expression x^2+x when x=5
Answer:
30 will be the ans to this question
Step-by-step explanation:
5^2 +5
=25+5
=30
pagina 32 de libri de tercero de secundaria
Answer:
Assignment: 06.05 Data Observation Assignment: 06.05 Data Observation
Step-by-step explanation:
Assignment: 06.05 Data Observation Assignment: 06.05 Data Observation Assignment: 06.05 Data Observation Assignment: 06.05 Data Observation Assignment: 06.05 Data Observation Assignment: 06.05 Data Observation Assignment: 06.05 Data Observation hi
URGENT! Will earn 100 points if you can answer all of these questions on PAPER OR DOCUMENT. Send link to email, messages, or through the answer page.
( MESSAGE JamSandwitch FOR EMAIL AND TO SEND DOCUMENT / ANSWERS ! )
Answer:
see below
Step-by-step explanation:
3) 8
4) 4
5) 14
6) 47
7) 18/5
8) 3/2
9) 255/4
10) 16
11) 21
12) 40
13) 73.5
14) 1
15) 25/2 or 12.5
16) 0
17) 48
18) 862
19) 9765625
20) 343
21) 8.1x10⁻³
22) 10.24
23) 1/156
24) n⁷
25) y⁶
26) t⁴
27) error is 0.4² should be 0.02²
28) 5⁴ = 5 x 5 x 5 x 5 = 625
29) 9
30) 100
31) 1
32) 1331
33) 125
34) 1024
35) 64
36) 1296
37) 1/16
38) 16/81
39) 27/125
40) 1/216
hope you enjoy the answers.
Answer:
thx
Step-by-step explanation:
Which numbers are rational? Check all that apply.
-19
2
5
0
4
ī
1.091502...
2.89
Answer:
-19
-2/5
0
4/7
2.89
Step-by-step explanation:
a rational number is any number that can be converted to a fraction, I know this because I took a test a while back and it helped me understand it. I hope this helps!!! :)
Please help to write the following
Answer: option 2. x²-1
Step-by-step explanation:
concept to know: a²-b²=(a+b)(a-b)
------------
(a+b)(a-b)=a²+b²
(x+1)(x-1)=x²-1
Hope this helps!! :)
Please let me know if you have any question
I think of a number, multiply it by 4, add 1 and square the result
Step-by-step explanation:
Let the number be x
The number is multiplied by 4
That's
4 × x = 4x
One is added to it
= 4x + 1
The whole result is squared
That's
(4x + 1)²Hope this helps you
Answer:
[tex]\huge \boxed{(4x+1)^2 }[/tex]
Step-by-step explanation:
[tex]\sf Let \ the \ number \ be \ x.[/tex]
[tex]\sf x \ is \ multiplied \ by \ 4.[/tex]
[tex]x \times 4[/tex]
[tex]\sf 1 \ is \ added.[/tex]
[tex]4x+1[/tex]
[tex]\sf The \ result \ is \ squared.[/tex]
[tex](4x+1)^2[/tex]
PLEASE HELP FAST!!!!!! How many triangles can be constructed using the following three side lengths: 4.8 cm, 2.1 cm, and 2.6 cm?
one triangle
no triangles
an infinite number of triangles
Answer:
no triangles
Step-by-step explanation:
why?
the triangle inequality theorem
this theorem states that the sum of any two sides must be bigger than or equal to the third side. however, the sum of 2.1 and 2.6 is less than 4.8
31*r+1.1*(35−31)*r = 410.64.
Answer:
11.6
Step-by-step explanation:
Solving with steps as below:
31*r+1.1*(35−31)*r = 410.6431r + 1.1*4r = 410.6431r + 4.4r = 410.6435.4r = 410.64r = 410.64/35.4r = 11.6Answer is: r =11.6
Q3) If B is directly proportional to A and B = 3 when A = 18, find the value of B when A = 24.
Answer:
B = 4
Step-by-step explanation:
Given that B is directly proportional to A then the equation relating them is
B = kA ← k is the constant of proportionality
To find k use the condition B = 3 when A = 18 , then
3 = 18k ( divide both sides by 18 )
k = [tex]\frac{3}{18}[/tex] = [tex]\frac{1}{6}[/tex]
B = [tex]\frac{1}{6}[/tex] A ← equation of proportion
When A = 24, then
B = [tex]\frac{1}{6}[/tex] × 24 = 4
PLEASE help me. I am stuck on this question for a long time.
Answer:4th option
Step-by-step explanation:
Answer: D. Set B has a higher mean and a Higher standard deviation than Set A
Step-by-step explanation:
Set A and Set B has the same amount of data and all are identical except the maximum. In this scenario, the larger the numbers, the higher the mean. Since the maximum of Set B is greater that Set A, Set B has a higher, mean.
--------------------------------------------
The higher the standard deviation, the larger the gap between data sets. Since Set B has a larger maximum, this means it is further away from other data comparing to Set A, thus, Set B has a higher standard deviation
(2x+ 2) +(3 - 5x) 4.) (3x - 4x4) +(2x + 5x4)
Step-by-step explanation:
Here,
[tex]1. \: (2x + 2) + (3 - 5x)[/tex]
open brackets,
[tex]2x + 2 + 3 - 5x[/tex]
[tex] = - 3x + 5[/tex]
now,
[tex]2. \: (3x - {4x}^{4} ) + (2x + {5x}^{4} [/tex]
open brackets,
[tex] = 3x - {4x}^{4} + 2x + {5x}^{4} [/tex]
simplifying like terms,
[tex] = {x}^{4} + x[/tex]
Hope it helps...
The area of a rectangular garden is given by the trinomial x2 + x – 42. What are the possible dimensions of the rectangle? Use factoring.
Answer:
Step-by-step explanation:
Hello, please consider the following.
[tex]x^2+x-42\\\\\text{The sum of the zeroes is -1=-7+6 and the product is -42=-7*6.}\\\\\text{So, we can factorise.}\\\\x^2+x-42\\\\=x^2+7x-6x-42\\\\=x(x+7)-6(x+7)\\\\=(x+7)(x-6)[/tex]
So, the possible dimensions of the rectangle are (x+7) and (x-6).
Thank you.
Answer:
[tex] \boxed{ \boxed{ \bold{ \sf{(x + 7) \: and \: (x - 6)}}}}[/tex]Step-by-step explanation:
[tex] \sf{ {x}^{2} + x - 42}[/tex]
Here, we have to find two numbers which subtracts to 1 and multiplies to 42
⇒[tex] \sf{ {x}^{2} + (7 - 6)x - 42}[/tex]
⇒[tex] \sf{ {x}^{2} + 7x - 6x - 42}[/tex]
Factor out x from the expression
⇒[tex] \sf{x(x + 7) - 6x - 42}[/tex]
Factor out 6 from the expression
⇒[tex] \sf{x(x + 7) - 6(x + 7)}[/tex]
Factor out x + 7 from the expression
⇒[tex] \sf{(x + 7)(x - 6)}[/tex]
So, the possible dimensions of the rectangle are x + 7 and x - 6 .
Hope I helped!
Best regards!
3) Taylor's soccer team purchased uniforms and equipment for a total of $912. The equipment costs $612 and the uniforms cost $25 each. How many uniforms did the school purchase?
Answer: They purchased 12 uniforms
Step-by-step explanation:
If the equipment cost $612 in total and the uniforms cost $25 each and they spent a total for $912 then we could represent it by the equation 25x + 612 = 912 where x is the number of uniforms that the school purchase.
25x + 612 = 912 solve for x by subtracting 612 from both sides
612 612
25x = 300 divide both sides by 25
x = 12
Mr. Drew wants to build a square sandbox with an area of 324 square feet. What is the total length
of wood Mr. Drew needs to make the sides of the sandbox?
He needs to buy __ feet of wood.
(Simplify your answer.)
Answer:
72ft.
Step-by-step explanation:
18(18)=324
18(4)=72