Answer: x² + 2x - 15
Step-by-step explanation:
Concept:
When we encounter questions that ask us to simplify expressions that consist of multiple parentheses, it is suggested to use the FOIL method to ease the process.
FirstOuterInnerLastSolve:
Given
(x - 3) (x + 5)
Expand parentheses
x² + 5x - 3x - 15
Combine like terms
x² + (5x - 3x) - 15
x² + 2x - 15
Hope this helps!! :)
Please let me know if you have any questions
Amy has four more 20c coins than 5c coins. The total value of all her 20c and 5c is $3.80. How many 5c coins does Amy have?
Answer:
Amy has 12 5¢ coins
Step-by-step explanation:
Let x represent 20¢ coins and y represent 5¢ coins.
Amy has four more 20¢ coins than 5¢ coins. Hence:
[tex]x=y+4[/tex]
And the total value of all her coins is $3.80. Thus:
[tex]0.2x+0.05y=3.8[/tex]
This yields a system of equations:
[tex]\displaystyle \begin{cases} x=y+4 \\ 0.2x+0.05y=3.8\end{cases}[/tex]
We can solve by substitution. Substitute the first equation into the first:
[tex]\displaystyle 0.2(y+4)+0.05y=3.8[/tex]
Distribute:
[tex]\displaystyle 0.2y+0.8+0.05y=3.8[/tex]
Combine like terms:
[tex]\displaystyle 0.25y = 3[/tex]
And divide both sides by 0.25. Hence:
[tex]y=12[/tex]
Thus, Amy has 12 5¢ coins.
Using the first equation:
[tex]x=y+4[/tex]
Substitute:
[tex]x=(12)+4=16[/tex]
Thus, Amy has 16 20¢ coins.
In conclusion, Amy has 12 5¢ coins and 16 20¢ coins.
Determine the perimeter of the following figure
pls help! ill mark brainliest
Answer:
Step-by-step explanation:
Use Pythagorus to find the length of the unmarked length
c^2 = a^2 + b^2
a = 5
b = 17 -10 = 7
c = ?
c^2 = 5^2 + 7^2
c^2 = 25 + 49
c = sqrt(74)
c =8.602
P = 5 + 10 + 17 + 8.602
P = 40.602
Carlos is 3 more than twice Ella’s age. If the sum of their ages is 54 years, determine their ages.
Answer:
Carlos is 37 years old and Ella is 17.
Step-by-step explanation:
Let,
Carlos = c
Ella = e
If Carlos is 3 more than twice Ella's age, we get the equation:
2e + 3 = c (1)
Since the sum of their ages is 54, we get the equation:
c + e = 54 (2)
Now we have a system of equations.
Since equation number 1 already designated the value of c in terms of e, we can substitute it into the second equation.
(2e+3) + e = 54
Lets combine like terms and solve!
2e + e + 3 = 54
3e = 51
e = 17
Let's substitute e back into one of the equations to figure out the value of c. I'm going to use equation 1.
2e + 3 = c
2(17) + 3 = c
34 + 3 = c
37 = c
Let's substitute the values of c and e into the second equations to check our work! (We know c and e already fulfill the first equation as we substituted e into it to get c)
c + e = 54
37 + 17 = 54
54 = 54
Now that we've checked our work, we know our answer is correct! Carlos is 37 years old and Ella is 17.
it began 63°F, and the temp changed by 8°F over the course of 6 hours whats the minimum and maximum???
Answer:
Minimum Possible Temperature: 55° F
Maximum Possible Temperature: 71° F
Step-by-step explanation:
Beginning temperature: 63° F
Change in temperature: 8° F
If the temperature decreased: 63° F - 8 °F = 55° F
If the temperature increased: 63° F + 8° F = 71° F
Minimum Possible Temperature: 55° F
Maximum Possible Temperature: 71° F
simplify (4+√3)(4-√3)
Answer:
13
Step-by-step explanation:
(4+√3)(4-√3) = (4)^2-(√3)^2 =16-3 = 13
Answer:
Step-by-step explanation:
(a + b)(a -b) =a² - b²
a = 4 and b = √3
(4 + √3)(4 - √3)= 4² - (√3)²
= 16 - √3*√3
= 16 - 3
= 13
If 5 is added to the difference of 3 times of 4 and 7 find the number
Answer:
14
Step-by-step explanation:
3*4=12
3*7=21
Diff= 21-12
Diff= 9
Plus 5=9+5
The number is 14
SOMEONE PLEASE HELP ME ITS URGENT (PICTURE)
Answer:
Question #1
x and its opposing side are equal in length. One of the sides have no fence.Set up an equation to find x:
[tex]x+x+10=26\\2x=26-10\\2x=16\\x=8[/tex]
The length of the side marked x is 8.0 m.
Question #2
New length = 10 + 1 = 11 cmNew width = xNew perimeter = old perimeter = 34 cmSet up an equation to find x
[tex]11+11+x+x=34\\2x=34-22\\2x=12\\x=6[/tex]
The new width is 6 cm.
factorise the given number
12
hope it helps you............
An internet company reported that its earnings will be less than the 24 cents per share that was predicted
Answer:
p < 0.24
Step-by-step explanation:
If earning is 24% less Than predicted, this means that the we can represent the predicted earning with a variable, p
If the predicted earning = p
Then, the actual earning can be represented by the inequality ; p < 24%
p < 0.24
please help I will give brainly, please and thank u :D
1 . the answer is wrong . correct answer is 3,531.33
2. I would give you suggestions that you need to work on your calculations skills
There is a line whose slope is 0 and whose y-intercept is 7. What is its equation in slope-intercept form?
Step-by-step explanation:
To evaluate such, the following must be comprehended, on the behalf of linear data:
Slope: Rise/Run.
Y-intercept: The peculiar point in which the observed linear data intersects the y-axis.
X-intercept: The peculiar point in which the observed linear data intersects the x-axis.
Recall:
Slope-Intercept Form is acknowledged and defined as the integration of the intersection point, in relation or in proportion to the distance between two points within the linear data presented on the Cartesian Plane.
Slope-Intercept Form:
Y = mx + b
Y = The line.
M = Slope.
B = y-intercept.
The following may be equated, as stated:
- Slope = 0
Y = b
- Y-intercept = 7
Y = 7
Thus, on the Cartesian Plane is identified as a horizontal line positioned within quadrants I and II, intersection (0, 7).
2x - y - 4 = 0
3x + y - 9 = 0
What is the solution set of the given system?
A. {(6, 5)}
B. {(5, 6)}
C. {(13/5, 6/5)}
D. {(6/5, 13/5)}
Step-by-step explanation:
+ Both equations
You will get : 5x=13 ; x=13/5
and put x to the first equation
2*13/5-y=4
y=6/5
(13/5;6/5)
Answer is C
Four students are playing a multi-level video game. Leo is playing the first level in the game.
Ralph is six levels above Leo.
Mike is two levels below Ralph.
Don, who is playing the last level of the game, is five levels above Mike.
How many levels does the game have?
Answer:
10 levels
Step-by-step explanation:
Ralph is on level 7
Mike level 5
Don level 10 and is playing the last one of game
The game has 10 levels
Leo is playing the first level and Ralph is sex levels above Leo. This means that Ralph is playing level:
= 1 + 6
= 7
Mike is two levels below Ralph which means that Mike is playing level:
= 7 - 2
= 5
Don is playing the last level and is five levels above Mike which means that Don is playing level:
= 5 + 5
= 10
Don is playing level 10 which is the last level so the game has 10 levels.
Find out more at https://brainly.com/question/23623247.
Which three lengths could be the lengths of the sides of a triangle? 21 cm, 7 cm, 11 cm 7 cm, 23 cm, 11 cm, 12 cm, 7 cm, 19 cm 10 cm, 15 cm, 23 cm
Answer:
(d) 10 cm, 15 cm, 23 cm
Step-by-step explanation:
21 cm, 7 cm, 11 cm — 7+11 < 21 . . . not a triangle
7 cm, 23 cm, 11 cm — 7+11 < 23 . . . not a triangle
12 cm, 7 cm, 19 cm — 7+12 = 19 . . . not a triangle
10 cm, 15 cm, 23 cm — 10+15 > 23 . . . can form a triangle
__
The sum of the two shortest sides must exceed the length of the longest.
Help fast!
Describe at least two ways to find or
estimate the year the population of the town
will be 40 thousand. (You don't have to
actually find the value.)
(|5 - 3x | - 1) - ( 1 - 3x ) = 0
(| 5 - 3x | - 1) - (1 - 3x) = 0
|5 - 3x| - 1 - 1 + 3x = 0
|5 - 3x| - 2 + 3x = 0
1) (5 - 3x) - 2 + 3x = 0, if 5 - 3x >= 0
3 = 0. has no solutions
2) -(5 - 3x) - 2 + 3x = 0, if 5 - 3x < 0
-5 + 3x - 2 + 3x = 0
6x = 7
x = 7/6
5 - 3x < 0
-3x < -5
x > 5/3.
has no solutions
What is the solution set to this equation?
log_4(x + 3) + log_4x = 1
Answer:
x=1
Step-by-step explanation:
log_4(x + 3) + log_4x = 1
We know that loga(b) + loga(c) = loga(bc)
log_4(x + 3)x = 1
Raise each side to the base of 4
4^log_4(x + 3)x = 4^1
(x+3)x = 4
x^2 +3x = 4
Subtract 4 from each side
x^2 +3x -4 = 0
Factor
(x+4) (x-1) =0
Using the zero product property
x= -4 x=1
But x cannot be negative since logs cannot be negative
x=1
Answer:
A.. x = 1.
Step-by-step explanation:
log_4(x + 3) + log_4x = 1
log_4 x(x + 3) = log_4 4
Removing the logs:
x(x + 3) = 4
x^2 + 3x - 4 = 0
(x + 4)(x - 1) = 0
x = 1, -4.
We can ignore the -4 as there is no log of a negative.
Find the value of x. I need help ASAP
Answer:
x is 30 degrees
Step-by-step explanation:
Do oddsmakers believe that teams who play at home will have home field advantage? Specifically, do oddsmakers give higher point spreads when the favored team plays home games as compared to when the favored team plays away games? Two samples were randomly
Complete question is;
Do oddsmakers believe that teams who play at home will have home field advantage? Specifically, do oddsmakers give higher point spreads when the favored team plays home games as compared to when the favored team plays away games?
Two samples were randomly selected from three complete National Football League seasons (1989, 1990, and 1991). The first sample consisted of 50 games, where the favored team played in a home game, while the second sample consisted of 50 games, where the favored team played in an away game. The oddsmakers’ point spreads (which are the number of points by which the favored team is predicted to beat the weaker team) were then collected.
If µ1 and µ2 represent the mean point spread for home games and away games, respectively, which of the following is the appropriate.
A) H0: μ1 - μ2 = 0
Ha: μ1 - μ2 < 0
B) H0: μ1 - μ2 = 0
Ha: μ1 < μ2
C) H0: μ1 - μ2 > 0
Ha: μ1 - μ2 = 0
D) H0: μ1 - μ2 = 0
Ha: μ1 - μ2 > 0
E) None of the above
Answer:
D) H0: μ1 - μ2 = 0
Ha: μ1 - μ2 > 0
Step-by-step explanation:
We want to find out if oddsmakers give higher point spreads when the favored team plays home games as compared to when the favored team plays away games.
Now, since µ1 and µ2 represent the mean point spread for home games and away games, respectively;
It means we want to find out if µ1 > µ2 as the alternative hypothesis.
Thus, alternative hypothesis is;
Ha: µ1 - µ2 > 0
Meanwhile null hypothesis assumes that equal point spreads are given when the favored team plays home games as well as when the favored team plays away games.
Thus, null hypothesis is;
H0: μ1 - μ2 = 0
The only correct option is D.
La probabilidad de que el estudiante A apruebe un examen de MM-100 es 0.6, la probabilidad de que apruebe un estudiante B es 0.4 y la probabilidad de que ambos estudiantes aprueben es 0.3. ¿Cual es la probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.?
Answer:
0.5 = 50% probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.
Step-by-step explanation:
La probabilidad condicional :
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
En el cual:
P(B|A) es la probabilidad de que ocurra el evento B, dado que A sucedió.
[tex]P(A \cap B)[/tex] es la probabilidad de que ocurran tanto A como B.
P(A) es la probabilidad de que ocurra A.
En esta pregunta :
Evento A: Estudiante A aprueba.
Evento B: Estudiante B aprueba.
La probabilidad de que el estudiante A apruebe un examen de MM-100 es 0.6
Entonces [tex]P(A) = 0.6[/tex]
La probabilidad de que ambos estudiantes aprueben es 0.3
Entonces [tex]P(A \cap B) = 0.3[/tex]
¿Cual es la probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.3}{0.6} = 0.5[/tex]
0.5 = 50% probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.
Please help me with this on the image
Step-by-step explanation:
The total of the number of computers he sold in 2015 is 67.
The total of the number of computers he sold in 2016 is 61.
The total of the number of computers he sold in 2017 is 71.
He sold 35 computers in Quarter 1, 24 in Quarter 2, 61 in Quarter 3, and 79 in Quarter 4.
He sold the most computers in 2017 and the least in Quarter 2.
Therefore, to find the total number of computers he sold all time, we add 67, 61, and 71 together to get 199.
Hope this helped!
Answer with Step-by-step explanation:
From the given table
(a)
In quarter 1
Computer sold in 2015=12
Computer sold in 2016=15
Computer sold in 2017=8
Total computer sold in quarter 1=12+15+8=35
In quarter 2
Computer sold in 2015=9
Computer sold in 2016=10
Computer sold in 2017=5
Total computer sold in quarter 2=9+10+5=24
In quarter 3
Computer sold in 2015=21
Computer sold in 2016=17
Computer sold in 2017=23
Total computer sold in quarter 3=21+17+23=61
In quarter 4
Computer sold in 2015=25
Computer sold in 2016=19
Computer sold in 2017=35
Total computer sold in quarter 4=25+19+35=79
In 2015
Total number of computer sold=12+9+21+25=67
In 2016
Total number of computer sold=15+10+17+19=61
In 2017
Total number of computer sold=8+5+23+35=71
(b)He sold the most computers in 2017
(c) He sold the least computers in quarter 2.
Find the 27th term of the arithmetic sequence 15, 17.25, 19.5, 21.75,...
Answer:
The 27th term is 73.5.
Step-by-step explanation:
We want to find the 27th term of the arithmetic sequence:
15, 17.25, 19.5, 21.75, ...
We can write a direct formula. Recall that the direct formula for an arithmetic sequence is given by:
[tex]x_n=a+d(n-1)[/tex]
Where a is the initial term and d is the common difference.
From the sequence, we can see that our initial term a is 15.
To find the common difference, subtract a term and its previous term. Thus, the common difference will be:
[tex]d=17.25 - 15 = 2.25[/tex]
Thus, our direct formula is:
[tex]x_n=15+2.25(n-1)[/tex]
To find the 27th term, let n = 27. Substitute and evaluate:
[tex]\displaystyle \begin{aligned} x_{27} &=15+2.25((27)-1) \\ &= 15+2.25(26) \\&= 15+58.5 \\ &= 73.5\end{aligned}[/tex]
Thus, the 27th term is 73.5.
a. linear pair
b. vertical angles
c. complementary angles d. supplementary
Answer:
b. vertical angles
Step-by-step explanation:
<2 and <5 are vertical angles
They are formed by the same lines, are opposite each other and share a vertex. Vertical angles are equal
f(x) = – 2x
g(x) = 8x2- 5x+7
Find (f.g)(x).
f(x) = -2x
-2x = 0
x = 0/-2
x = 0
Now putting 0 as x in g(x)
g(x) = 8x^2 - 5x + 7
g(0) = 8(0)^2-5(0)+7
= 0 - 0 + 7
= 7
Answered by Gauthmath must click thanks and mark brainliest
1/t=1/g+1/v make g the subject
Answer:
g = vt/(v - t)Step-by-step explanation:
See the solution in steps:
1/t = 1/g + 1/v1/g = 1/t - 1/v1/g = (v - t)/(vt)g = vt/(v - t)Josh has a aquarium 30 inch deep.it takes him 5 min to fill the bucket with 3 inch of water.he estimates that it will take him under an hour to fill the entire bucket with water.is he correct.explain why or why not
Answer:
No
Step-by-step explanation:
From the information provided, we can say that he is not correct. This is because the depth of the water is the only measurement that he is using to make his estimate. Comparing the depth of the aquarium and the bucket is one measurement, but both the aquarium and bucket are most likely of different shapes and sizes. Therefore, this equates to more buckets for the same amount of depth in the aquarium. To get a proper estimate on how long it will take he needs to calculate the volume of water in the bucket and compare it to the volume of water needed to fill the aquarium.
6. 792 = *
A. (7 x 10) + (3 x 4) + (2 x 1)
B. (7 x 11) + (3 x 3) + (2 x 1)
C. (7 x 11) + (3 x 4) + (2 x 1)
D. (7 x 10) + (3 x 3) + (2 x 1)
Answer:
D. (7×10) + (3×3) + (2×1)
Step-by-step explanation:
(7×10)=70 + (3×3)=9 + (2×1)=2
=70+9+2
=792
which equation represent this relation
Answer:
hello,
answer A c=n+2
Step-by-step explanation:
if n=0 then c=2
if n=2 then c=4
slope=m=(4-2)/(2-0) =2/2=1
c-2=1*(n-0)
c=n+2
For the function f(x)=3X+5/x+5 find f^1(x)
Answer:
When you see f^-1(x), its asking for the inverse. In this case, you swap y with x and solve for y.
The inverse is 5 / x - 8
An equation is shown below:
3(2x – 7) = 3
Part A: How many solutions does this equation have? (4 points)
Part B: What are the solutions to this equation? Show your work. (6 points)
Answer:
Part A: One | Part B: x = 4
Step-by-step explanation:
[tex]3(2x-7)=3\\6x-21=3\\6x=24\\x=4[/tex]
Answer:
4
Step-by-step explanation:
3(2x _7)=3
multiply 3 by everything in the bracket
6x-21 = 3
move 21 to the other side of the equation,it becomes positive sine it crosses the = sign
6x = 3+21
6x =24
divide both sides by 6
6x/6=24/6
x = 4
