Answer:
10x² + 11x - 6
Step-by-step explanation:
The area (A) is the product of the sides, that is
A = (2x + 3)(5x - 2) ← expand using FOIL
= 10x² - 4x + 15x - 6 ← collect like terms
= 10x² + 11x - 6
What is the equation of the line that passes
through the points (3,-1) and (7, 3)?
Answer: y = 1x + -4
Equation of a straight line:
y = mx + b ------(i)
Step by Step Solution:
Step 1: Calculating Slope (m).
m = y2-y1 /x2-x1
m = 3--1 /7-3
m = 4/4
m = 1
Now putting value of m in equation (i)
y = 1x + b -----(ii)
Step 2: Calculating Y-intercept (b).
Lets choose the first point, (3,-1) for calculating y-intercept:
y = mx + b
-1 = 1(3) + b
-1 = 3 + b
-4 = b
b = -4
Now putting value of b in equation (ii)
y = 1x + -4
find the equation to this line.
The number m of miles a long-distance cyclist travels during today's ride can be modeled by the function m(t)=11t+55, where t represents the number of hours since a noon rest stop.
b. Interpret the slope and y-intercept
c. The cyclist can only ride until 6:00 PM. Identify the domain and range of the function.
Step-by-step explanation:
m(t) = 11t + 55
the slope is always the factor of the variable, so here the slope is 11.
since t is the number of hours riding (after the noon rest stop), the slope (11) is actually the mean speed the rider is going (after the noon rest stop) : with every hour riding the cyclist goes another 11 miles, so this speed is 11 mph.
the y-intercept is the m value when t = 0, because here in our example y (the result variable) is renamed m.
it is here 55.
t = 0 means no time riding yet, so 55 is the "starting value" of the function. that means that the cyclist traveled already 55 miles earlier that day before the noon rest stop.
the cyclist can only ride until 6pm. but we don't know how long the noon rest stop is (i.e. when he continues riding after the rest stop).
so I need to make some assumptions :
the mean speed (11 mph) after lunch break, and the y-intercept (55) suggest to me that the cyclist was riding 5 hours before the stop (5×11 = 55), and will also ride 5 hours after the stop (= from 1pm to 6pm).
if this is wrong, and the cyclist starts at e.g. 12pm, then please just adjust the following numbers accordingly.
but here again, I am assuming the cyclist will go from 1pm to 6pm (for 5 hours).
the domain is the interval or set of all valid values of the input variable (here t) : all real numbers in [0 .. 5].
the "timer" starts at 0 right at the end of the noon test stop. and then the cyclist can go max. 5 hours. and I assume any part of an hour is valid, so we use real numbers instead of e.g. whole numbers.
the range is the interval or set of all valid values of the result variable (here m) : all real numbers in [55 .. 110].
for t = 0 we have m = 55. and this goes continuously up with t until t = 5, leading to 11×5 + 55 = 55+55 = 110.
Pam and Erin are both planting gardens for their backyards. They want their gardens to be proportional. If pams garden has a length of 16 feet and a width of 12 feet, what length does Erin need if the width of her garden is 21 feet?
Step-by-step explanation:
Pam and Erin want the gardens to be proportional.
proprtional- equal
Pams garden has a length of 16 and width of 12. To find the area of Pam's garden multiply the length by the width.
16×12= 192
Now that we know the area of Pam's garden, we can set up and equation for Erin's garden. Since they have to be equal we know that Erin's garden should equal 192. Thus we solve for the length by dividing the width from the total.
192÷21=9.14
What equation can be written for this graph?
Pls help!!!
Answer:
y = 25x
Step-by-step explanation:
This is a straight line, so the formula is:
y = ax + b
a is the slope and b is the y-intercept.
Slope formula:
a = (y2 - y1)/(x2 - x1)
Select two random points from the line:
Point 1: x=2 and y=50Point 2: x=4 and y=100Slope a = (100 - 50)/(4 - 2) = 50/2 = 25
=> y = 25x + b
Use one of the points to find b:
50 = 25*2 + b
=> b= 0
So the equation is y=25x
Consider the relation {(1,3), (2,5), (-6,-3), (0,0)}. What is the range of the relation?
Answer:
the domain is:
{
−
3
,
0
,
1
,
6
}
the range is:
{
2
,
3
,
4
,
−
6
,
4
}
the relation is not a function since it has TWO distinct y values '4' and '-6' for the same x value of '1' .
Step-by-step explanation:
In the relation:
{
(
−
3
,
2
)
,
(
0
,
3
)
,
(
1
,
4
)
,
(
1
,
−
6
)
,
(
6
,
4
)
}
:
The domain:
Is the set of all the first numbers of the ordered pairs.
In other words, the domain is all of the x-values.
So in this case the domain is:
{
−
3
,
0
,
1
,
6
}
The range:
Is the set of the second numbers in each pair, or the y-values.
So in this case the range is:
{
2
,
3
,
4
,
−
6
,
4
}
A relation is a function if it has only One y-value for each x-value.
So in this case the relation is not a function since it has TWO distinct y values '4' and '-6' for the same x value of '1' .
Answer:
the domain is: { − 3 , 0 , 1 , 6 }
the range is: { 2 , 3 , 4 , − 6, 4 }
the relation is not a function since it has TWO distinct y values '4' and '-6' for the same x value of '1' .
Step-by-step explanation:
In the relation: { ( − 3, 2) , ( 0 , 3 ) , ( 1 , 4 ) , ( 1 , −6 ) , ( 6 , 4 ) } :
The domain:
Is the set of all the first numbers of the ordered pairs.
In other words, the domain is all of the x-values.
So in this case the domain is: {− 3 , 0 , 1 , 6 }
The range:
Is the set of the second numbers in each pair, or the y-values.
So in this case the range is: { 2 , 3 , 4 , − 6, 4 }
A relation is a function if it has only One y-value for each x-value.
So in this case the relation is not a function since it has TWO distinct y values '4' and '-6' for the same x value of '1' .
Have a good day/night!
In your own words, describe how to find the GCF for a set of numbers. Use the numbers 24 and 32 as an example. (PLS HELP ILL GIVE 50 points and brainlest also no links please, thanks)
Answer:
8
Step-by-step explanation:
We can find GCF by prime factorising
24 = 2³ × 3
32 = 2⁵
Common factor = 2³ = 8
Hence,
GCF of 24 and 32 is 8.
Hope it helps
5 more than 3
meaning what number ?
Answer:
8
Step-by-step explanation:
5+3=8
3 plus 5 more makes 8
1 3/8+3 1/3 please
Answer
Answer:
4 17/24
Step-by-step explanation:
3/8=9/24
1/3=8/24
8+9=17
sorry first know it had to be a fraction so I'm pretty sure this is what you are looking for 113/24.
Step-by-step explanation:
this is the right answer please mark me as Brainliest
hope this helps
May I please receive help?
Answer:
(32)2
1024
(28) 2
784
1024-784= 240
I think nearest 10 can 256 or 225 then find square
if x is a factor of y and y is a factor z, then x is a factor of z. true or false
Answer:
True; this [tex]x[/tex] would indeed be a factor of [tex]z[/tex].
Step-by-step explanation:
"[tex]x[/tex] is a factor of [tex]y[/tex]" means that there is a whole number [tex]p[/tex] such that [tex]x\, p = y[/tex].
Likewise, [tex]y[/tex] is a factor of [tex]z[/tex] if and only if there is a whole number [tex]q[/tex] such that [tex]y\, q = z[/tex].
This [tex]x[/tex] would be a factor of [tex]z[/tex] if there is some whole number [tex]r[/tex] such that [tex]x\, r = z[/tex].
The first equality [tex]x\, p = y[/tex] implies that [tex]y[/tex] may be substituted with [tex]x\, p[/tex].
Substitute the [tex]y[/tex] in the second equality [tex]y\, q = z[/tex] with [tex](x\, p)[/tex] to obtain:
[tex](x\, p)\, q = z[/tex].
Rearrange to obtain:
[tex]x\, (p\, q) = z[/tex].
The product of two whole numbers is still a whole number. Since [tex]p[/tex] and [tex]q[/tex] are both whole numbers, [tex]p\, q[/tex] would also be a whole number.
Thus, if [tex]r = p\, q[/tex], then [tex]x\, r = x\, (p\, q) = z[/tex], while [tex]r[/tex] would be a whole number.
Therefore, this [tex]x[/tex] would indeed be a factor of [tex]z[/tex].
From this pie chart answer the following:
(i) If 20 people liked classical music, how many young people were surveyed?
(ii) Which type of music is liked by the maximum number of people?
help asap please ill give brainliest
What is the unit rate of scoops of high-protein food to scoops of high-fiber food if the food is made up of 80% high-fiber chimp food to 20% high-
protein food?
(answer in fraction)
Answer:
10. 31.14
10/31+14
Step-by-step explanation:
Domain and Range of {(0,2), (2,4), (-1,1)}
45
23
+(−
45
23
)
Kelly had one liter of soda she divided equally into 10 classes to share with her friends how much total did each friend get.: 1 Deciliter, 1 centiliter, or 1 milliliter???
Answer:
1 decilitre
Step-by-step explanation:
You can look up charts for these. Look up litre chart
Teresa will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $59 and costs an additional $0.08 per mile driven, The second plan has an initial fee of $48 and costs an additional $0.10 per mile driven. For what amount of driving do the two plans cost the same? Omiles What is the cost when the two plans cost the same? $0
Answer:
1. 550 miles
2. $103
Step-by-step explanation:
y = total rental cost
m = initial fee
x = cost per mile
n = number of miles
Plan 1: y = m + xn = 59 + 0.08n
Plan 2: y = m +xn = 48 + 0.10n
Q1. if total cost is the same : 59 + 0.08n = 48 + 0.10n >>> 0.02n = 11 >>> n = 550
Q2. y = m + xn = 59 + 0.08n = 59 + 0.08(550) = 103
Which of the following rational functions is graphed below?
Considering the asymptotes, the rational function given below is the following:
B. [tex]f(x) = \frac{1}{x(x + 2)}[/tex]
What are the asymptotes of a function f(x)?The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.From the graph, the vertical asymptotes are x = 0 and x = -2, hence the denominator is given by:
x(x + 2).
The function has no x-intercepts, hence the numerator is of 1. So the function is given by:
B. [tex]f(x) = \frac{1}{x(x + 2)}[/tex]
More can be learned about asymptotes at https://brainly.com/question/16948935
#SPJ1
Byron opened a new bank account and immediately started depositing d dollars per week. He also withdrew w dollars per week to pay expenses. The total amount of money in the account, M, after n weeks is represented by the equation M = nd - nw . Which of the following is a factor of M?
A d - w
B n - w
d - n
D n - c
Answer: b i just took the test
Step-by-step explanation:
Option A is correct, d - w is a factor of M whose equation is M=nd-nw.
What is Number system?A number system is defined as a system of writing to express numbers.
Given that Byron opened a new bank account and immediately started depositing d dollars per week.
Byron also withdrew w dollars per week to pay expenses.
Byron also withdrew w dollars per week to pay expenses.
The total amount of money in the account, M, after n weeks is represented by the equation M = nd - nw .
M equal to n times of d minus n times of w.
We can factor out the common factor of n from the expression for M
M = nd - nw = n(d - w)
Therefore, n is a factor of M.
Hence, option A is correct, d - w is a factor of M whose equation is M=nd-nw.
To learn more on Number system click:
https://brainly.com/question/21751836
#SPJ2
Area codes are the first three digits of a 10-digit telephone number. The first digit of an area code cannot be 0 or 1.
a. How many area codes can be created if digits are allowed to be repeated?
b. How many area codes can be created if digits are not allowed to be repeated?
Answer:A
Step-by-step explanation:because the numbers can be allowed to be repeated
solve the algebraic equation below
(9x2x2+6x+5)+(3x2-5x-9)
Answer:
x+38
Step-by-step explanation:
ok so try to understand my explaination!
it goes by simplifying one by one :)
(18*2+6x+5)+(3*2-5x-9)
(41+6x)+(-3-5x)
41+6x-3-5x
41-3=38
6x-5x=(1)x
x+38
try to understand, im not amazing at explaining :)
Pick the correct answer choice! Please.
Osmosis is when:
A) Water molecules move from a low concentration, to a low concentration, with the assistance of travel proteins.
B) Salt molecules move from a high concentration, to a low concentration, with the assistance of travel proteins.
C) Water molecules move from a high concentration, to a low concentration, with the assistance of travel proteins.
D) Salt molecules move from a low concentration, to a low concentration, with the assistance of travel proteins.
Answer:
C
Step-by-step explanation:
Osmosis: In osmosis, water always moves from an area of higher water concentration to one of lower concentration. In the diagram shown, the solute cannot pass through the selectively permeable membrane, but the water can. Water has a concentration gradient in this system.
HOPE THAT HELPS YOU PLS MARK ME BRINILYS
Answer:
A hey the answer because osmosis means small when molecules when molecules from a hydrophenation with the help of travel proteins most are low concentration
The box of cereal used to contain 16 ounces of cereal. The box now holds 12 ounces of cereal what is the percent decrease?
Luke cut down a tree that was 27.6 feet tall. Then he cut the tree into 6 equal pieces to take it away. What is the length of each piece?
Answer:
4.6 feet (explanation of division)
Answer:
The length of each piece is 4.6 feet
Step-by-step explanation:
PROVE: BD is congruent to BE. Provide steps and reasons.
Answer:
It is congruent
Step-by-step explanation:
Because AB and BC are congruent, having DE bisect them
directly in the middle creates equal lines of BD and BE.
Percentage of words starting with T
Jada types 120 words per minute how many words does jada type in 1.5 minutes
Answer:
180
Step-by-step explanation:
Please help!!! No links!!! Solve the system of equations below by graphing both equations with pencil and paper! What is the solution?? Use the photo below!!!
function g is represented by th table.
x -1 0 1 2 3
g(x) 15 3 0 -¾ -15/16
Which statement correctly compares the two functions?
А.They have the same x- and y-intercepts.
B.They have different x- and y-intercepts but the same end behavior as x approaches infinity.
C.They have the same y-intercept and the same end behavior as x approaches infinity.
D.They have the same x-intercept but different end behavior as x approaches infinity
Answer:
D. They have the same x-intercept but different end behavior as x approaches infinity
Step-by-step explanation:
A careful comparison reveals the g(x) values in the table are 1/2 the y-values in the graph. The x-intercepts are the same, but the y-intercepts and end behavior are different.
