Complete Question:
On Monday, Sarah has to meet her friend at the park after school. The distance from her house to school is 2x + 5. The distance from school to the park is x. If the total distance she walks that day is 10x + 9, how far is it from the park back to her house?
Answer:
[tex] = 7x + 4 [/tex]
Step-by-step explanation:
Distance from her house to school = 2x + 5
Distance from school to park = x
Total distance walked that day including distance from the park back to her house = 10x + 9
Distance back to her house = total distance walked - (distance form her house to school + distance from school to park)
= [tex] (10x + 9) - ((2x + 5) + (x)) [/tex]
[tex] = (10x + 9) - (2x + 5 + x) [/tex]
[tex] = (10x + 9) - (3x + 5) [/tex]
[tex] = 10x + 9 - 3x - 5 [/tex]
Combine like terms
[tex] = 10x - 3x + 9 - 5 [/tex]
[tex] = 7x + 4 [/tex]
The principal roots of
a number are
Answer:
Step-bvery nonnegative real number x has a unique nonnegative square root, called the principal square root, which is denoted by √x, where the symbol √ is called the radical sign or radix. For example, the principal square root of 9 is 3, which is denoted by √9 = 3, because 32 = 3 ⋅ 3 = 9 and 3 is nonnegative.y-step explanation:
Suppose you deposit 1000 $ in a savings account that pays interest at an annual rate of 4%. If no money is added or withdrawn from the account, answer the following questions.
How much will be in the account after 3 years?
b. How much will be in the account after 16 years?
c. How many years will it take for the account to contain 1,500 $?
d. How many years will it take for the account to contain 2000$?
Some one please helppppppp mee
Answer:
a. 1124.86
b. 1872.98
c. 10.35
d. 17.7
Step-by-step explanation:
use the formula A(t) = a (1+r)^t
PLEASE PLEASD HELP!!!
A machine produces 480 gel pens per hour. Which equation represents the number of gel pens, p, produced in
m minutes?
The equation represents the number of gel pens, 'p' produced in 'm' minutes will be P = 8m.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that a machine produces 480 gel pens per hour. The equation for the number of pens in hours can be written as,
P = 480 / 60 m
Here, P is the number of pens and 'm' is
P = 8m
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The cost for decorations and the disc jockey for the senior class dance was $500. The class members sold 325 tickets and made a profit of $2,750. If x represents the price of each ticket sold, which equation could be used to find x?
Answer: Yes
Step-by-step explanation: Because of the gravity of the earth
.
Greg ran 12 miles a day on 18 different days last month. How many miles did he run?
Answer: 216
Step-by-step explanation:
12 x 18 = 216
2x+3y=11, solve for y
Answer:
Let's see what to do buddy...
Step-by-step explanation:
[tex]2x + 3y = 11[/tex]
Subtract the sides of the equation minus 2x :
[tex]3y = 11 - 2x[/tex]
Divided the sides of the equation by 3 :
[tex] \frac{3}{3}y = \frac{ - 2x + 11}{3} \\ \\ y = - \frac{2}{3}x + \frac{11}{3} [/tex]
_________________________________
And we're done.
Thanks for watching buddy good luck.
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Determine the domain of the function
K = -1, f(x) = x -3x+2
I am a bit confused the question says: use the remainder theorem and synthetic division to find f(k).
Answer:
f(k) = 6
Step-by-step explanation:
See attachment:
Ok now what do I press?
Answer:
Notification
Step-by-step explanation:
help find the equation of the tangent line please (calculus)
The tangent line to f(x) at x = c has slope equal to the derivative at c, or f'(c).
We have
f(x) = 3 - 2 x + 7 x²
so that
f'(x) = -2 + 14 x
The slope is 5 for
-2 + 14 x = 5 ==> 14 x = 7 ==> x = 1/2
Now, f (1/2) = 15/4, so the tangent line has equation
y - 15/4 = 5 (x - 1/2) ==> y = 5 x + 5/4
1/7 x g = 1
what's g
Answer:
or,1/7divide by 1 =g
or, 1and 1 cut remember 7 =g
therefore value of g is 7.
Step-by-step explanation:
Which pair of angles must be supplementary
1 and 5
5 and 3
4 and 5
4 and 1
The supplementary angle pairs are: angles 4 and 5
What are supplementary angles?Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two-two angles are two pairs of supplementary angles. Which means, if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.
We know that Two Angles are Supplementary when they add up to 180 degrees.
In the given diagram , the pair of angles must be supplementary that are:
angles 1 and 8
angles 2 and 7
angles 4 and 5
angles 3 and 4
angles 1 and 2
angles 7 and 8
angles 3 and 6
angles 5 and 6
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Find the equation of a line that contains the points (3,1) and (5,-4). Write the equation in slope-intercept form
Answer:
y= -5x/2+17/2.... (x is between -5/2)
slope intercept= mx+b
y= -5x/2+17/2
Step-by-step explanation:
The equation of line in slope intercept form which passes through the points (3,1) and (5,-4) is [tex]-\frac{5}{2} x+\frac{17}{2}[/tex] .
What is the equation of line in slope intercept form?
The equation of line in the form of [tex]y = mx + b[/tex], is called slope intercept form of a line.
How to find equation of line from two points?The equation of line from two points is given by
[tex]y -y_{1} = \frac{y_{2} -y_{1} }{x_{2}-x_{1} } (x-x_{1} )[/tex]
According to the given question
We have two points (3,1) and (5, -4)
Therefore, the equation of line which passes through the points (3,1) and (5, -4) is given by
[tex](y -1)=\frac{-4-1}{5-3} (x-3)[/tex]
⇒[tex](y-1)=\frac{-5}{2}(x-3)[/tex]
⇒[tex]y -1=\frac{-5}{2}x+\frac{15}{2}[/tex]
⇒[tex]y =-\frac{5}{2} x+\frac{15}{2} +1[/tex]
⇒[tex]y = -\frac{5}{2}x+\frac{17}{2}[/tex]
Hence, the equation of line in slope intercept form which passes through the points (3,1) and (5,-4) is [tex]-\frac{5}{2} x+\frac{17}{2}[/tex] .
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{10, 12, 14, 16, 18, ...} What is the formula ?
Answer:
10 + 2x
Step-by-step explanation:
we you started with 10 and you're adding 2 everytime
x = the number of times you do this
10 + 2x
Answer:
2n + 8
=> 10, 12 , 14, 16, 18, 20, 22, 24, ...
48+(-22) what’s the answer?.
Answer:
26
Step-by-step explanation:
A (+) and a (-) will always be a minus, so 48+(-22) becomes 48 - 22, which equals 26.
Answer:
26.
Step-by-step explanation:
48 - 22 = 26.
Andrew has 20 more goldfish than Todd .together they have 80 goldfish how many goldfish does each boy have
Answer:
Andrew 50
todd 30
Step-by-step explanation:
A recipe asks for 6 1/4 cups of flour. How many cups are needed to make 1/2 of a recipe? express the awnser in simplest form. enter the awnser in the box! Pls awnser right away
Answer: 3 1/8
Step-by-step explanation:
6 1/4 x 1/2
Kate gets into the elevator on the third
floor of a shopping mall. She goes up 6
floors to reach the food court. After an
hour, she went down 2 floors to buy
books. At which floor is she now?
Answer:
11th floor
Step-by-step explanation:
3rd floor +6 =9
9 -2 =11
11th floor
Write an expression having only two terms that is equivalent to 2x – 3. Explain how you wrote the expression and how you can check that it is equivalent. QUICKLY!
WILL GIVE BRAINLIST
Answer:
4x-6
Step-by-step explanation:
Two times 2 equals 4 and 2 times 3 equals 6
The foundation of your house has about 1,200 termites. The termites grow at a rate of about 2.4% per day. How long until the number of termites doubles?
Answer:
2=1.0247 The termite population doubles in ñ 29.226 days.
Step-by-step explanation:
What is 1/2(8x+26)=13+4x ?
Answer:
no solution
Step-by-step explanation:
8 is half of 4 and 26 is half of 13
75 is what percent of 15
Answer:
500%
Step-by-step explanation:
Is means equals and of means multiply
75 = P * 15
Divide each side by 15
75/15 = P
5 = P
Change to percent form
500%
Leo invested $1900 in an account with annually compounded interest. After 3 years, he had $2275 in the account. What was the interest rate of the account? Round your answer to one decimal place. Do not write the percent sign.
Answer:
6.2%
Step-by-step explanation:
got the wrong answer and this was the right one omm
Billy saw 6 tigers and 9 lions at the zoo. What is the ratio of tigers to lions that Billy saw, and what is the
significance of this ratio?
A. 1:3, because the cats Billy saw were in groups of threes
B. 2:3, because Billy saw two-thirds as many tigers as lions
C. 2:3, because two-thirds of the cats Billy saw were tigers
D. 1:3, because Billy saw 3 fewer tigers than lions at the zoo
Answer:
D
Step-by-step explanation:
The correct ratio is 1;3 so that eliminates B and C. The problem doesn't state anything about Billy seeing groups of tigers so D is the only logical answer.
3. Julio's dad bought 10 dozen potatoes. The potatoes were equally
divided into 6 bags. How many potatoes are in each bag?
Answer:
20 potatoes in each bag
Step-by-step explanation:
10 x 12 = 120
120 / 6 = 20
12) 36 gallons is equal to how many quarts? 4 qt=1 gallon*
Answer:
144
Step-by-step explanation:
36 x 4
Answer:
144
Step-by-step explanation:
1 gallon 4
36 gallon 4*36 =144
Consider a communication source that transmits packets containing digitized speech. After each transmission, the receiver sends a message indicating whether the transmission was successful or unsuccessful. If a transmission is unsuccessful, the packet is resent. Suppose a voice packet can be transmitted a maximum of 8 times. Assuming that the results of successive transmissions are independent of one another and that the probability of any particular transmission being successful is p, determine the probability mass function of the number of times a packet is transmitted.
Answer:
The probability mass function is
[tex]F(x) = [ \left \ 8 } \atop {x}} \right. ] * p^x * q^{n - x }[/tex]
Step-by-step explanation:
From the question we are told that
The maximum transmission time is [tex]n = 8[/tex]
Generally the number of times a packet is transmitted follows a binomial distribution given that the the results of successive transmissions are independent of one another and that the probability of any particular transmission being successful is p
Generally the probability mass function is mathematically represented as
[tex]F(x) = [ \left \ 8 } \atop {x}} \right. ] * p^x * q^{n - x }[/tex]
Here x can take values x = 0 , 1 , 2 , 3 , ... , 7
Which is greater 728.307 or 729.07
Answer:
729.07
Step-by-step explanation:
Answer:
729.07 is the greater number between the two.
Step-by-step explanation:
ic
Solve the inequality 2x + 8 < 5x - 4.
Ox>4
Ox> 1
Ox<1
Ox<4
HELP ASAP
Answer:
2x + 8 < 5x - 4.
Step-by-step explanation:
it equals
x>4
Two functions are defined as shown.
f(x) = f(x) equals negative StartFraction 1 Over 2 EndFraction x minus 2. x – 2
g(x) = –1
Which graph shows the input value for which f(x) = g(x)?
A coordinate grid with two lines. One line labeled f(x) passes through (negative 2, 3), (0, 1), and point (2, negative 1). The second line is labeled g(x) and passes through (negative 3, negative 1), (0, negative 1), and point (3, negative 1).
A coordinate grid with two lines. One line labeled f(x) passes through (negative 4, 0), point (negative 2, 0), and (0, negative 2). The second line is labeled g(x) and passes through (negative 3, negative 1), (0, negative 1), and point (3, negative 1).
A coordinate grid with two lines. One line labeled f(x) passes through (negative 4, 1), (negative 2, 0), and point (1.5, negative 1). The second line is labeled g(x) and passes through (negative 3, negative 1), (0, negative 1), and point (1.5, negative 1).
Answer:
its graph two trust also pls brainiest
Step-by-step explanation:
Answer:
Graph 2
Step-by-step explanation: