The equation of the required line parallel to the given line is y = -x - 10.
What is slope ?Slope can be defined as the rate of change.
According to the given question we have to write an equation of a line parallel to the line y = - x - 1 that goes through the point (-2,-8).
We know that lines are parallel because of the same slope they have.
So, the required line also have a slope(m) = -1.
∴ The equation of the required line in slope intercept form can be written as y = mx + b.
Putting the value of given points (-2, -8) in (x,y) t evaluate y intercept b.
So, - 8 = (-1)(-2) + b.
- 8 = 2 + b.
b = -10.
∴The equation of the required line in slope intercept form is y = -x -10.
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What is the slope of the line on the graph?
Enter your answer in the box
Answer:
Step-by-step explanation: the answer is D. because all of the oher choices don't make sense obviously.
Fill in the blanks
A=P e rt is known as the ______ formula.
A=P e rt is known as the continual" growth formula.
What is a PE RT formula?
A = PRT, where "A" is the ending amount, "P" is the beginning amount (principal, in the case of money), "r" is the growth or decay rate (represented as a decimal), and "t" is the time (in whatever unit was used on the growth/decay rate), is the equation for "continual" growth (or decay).
What is the purpose of a PE RT?
Often referred to as a PERT diagram, a PERT chart is a project management tool used to plan, schedule, and coordinate tasks within a project. Project managers can deconstruct each individual activity in the project for analysis since it provides a graphical depiction of the project's timeline.Learn more about continual" growth
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what does a graph look like if a line passes through the point (3,-4) and has a slope of 1/3?
Answer: The diagonal line would have a negative slope
Step-by-step explanation:
Put the numbers in order from greatest to least. (photo down below)
Answer: 1 1/2> 5/4> 100%> 7/10> 0.25
Step-by-step explanation:
1 1/2= 1.50
5/4= 1.25
0.25
7/10= 0.70
100%= 1
1.50>1.25>1>0.70>0.25
A skier is trying to decide whether or not to buy a season ski pass. A daily pass costs $79. A season ski pass costs $350. The skier would have to rent skis with either pass for $30per day. How many days would the skier have to go skiing in order to make the season pass less expensive than the daily passes?
Answer:
Let s =cost of skiing per day. Here's what we know:
450 + 20s = 64s + 20s (the season pass plus ski rentals equates to daily skiing plus ski rentals)
We have 20s on both sides, so those cancel out easily:
450 = 64s
Divide both sides by 64:
7.03 ≈ s
You can't pay for a partial day, so the skier will have to ski for at least 8 days to make the season pass cheaper than getting daily passes.
Step-by-step explanation:
Hope this helps :D
-32x-2 pls help i know i should know this
Answer:
Step-by-step explanation:
64
Answer: -2 (16x + 1)
Step-by-step explanation:
Sylvia has 6 1/2 boxes of chocolate to share at a family picnic. If she gives each person 1/3 of a box, how many people can receive chocolate?
The number of persons that would be able to receive the chocolates based on the question is 19
How to solve for the numberThe total number of chocolate = 6 1/2
This can be written to be 13 / 2 or 6.5
The number or amount that she has to give from what is contained in the box to each person is 1/3 = 0.33
Hence to get the number of people that would receive the chocolate we would have
6.5 / 0.33
= 19.5
This can be approximated to 19
Hence the total number that would receive the chocolate is 19
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The length and width of a rectangle are consecutive integers. The perimeter of the
rectangle is 38 feet. Find the length and width of the rectangle.
Width =
Length
The length of the rectangle is 9 feet and the width of the rectangle is 10 feet.
What is the Perimeter of a Rectangle?The sum of a rectangle's boundary lengths on all sides is known as its perimeter. A rectangle's perimeter is a linear measurement that can be expressed in meters, feet, inches, or yards. Let's first comprehend the two fundamental characteristics of a rectangle.
A rectangle has four 90° angles.The lengths of a rectangle's diagonals are equal.Let the length of the rectangle be x feet
Then, the width of the rectangle will be x+1feet
We know that the perimeter of a rectangle is given by
P= 2(l+w)
Here
P= perimeter of a rectangle
l=length of the rectangle
w= width of the rectangle
Put l=x, w= x+1 and P= 38 in the perimeter formula
38 = 2(x+x+1)
Divide both sides by 2
19= x+x+1
19= 2x+1
Subtract 1 from both sides
18=2x
Divide both sides by 2
x=9 feet
This is the length of the rectangle.
Now, the width x+1 of the rectangle will be
9+1 = 10 feet
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chloe is 5 feet 4 inches tall. there are 2.54 centimeters in 1 inch. what is chloe's height in centimeters?
Answer:
162.56 centimeters
Step-by-step explanation:
60 inches + 4 inches = 64 inches
1 inch =
2.54 centimeters
64 inches = 162.56 centimeters
What is the EXPRESSION after applying the distributive property?
-0.4 (-2 + (-9))
30 points
How do I graph y+4=5x?
To graph a linear equation, including the function y + 4 = 5 · x, we needed to rewrite the equation into its explicit form, mark two distinct points on a Cartesian plane and pass a line through them. The result is presented in the image attached below.
How to graph a linear equationHerein we find a linear equation in a non-canonical form and to which we are asked to graph. According to geometry, lines can be created by knowing the location of two distinct points on Cartesian plane. The detailed procedure is now shown.
First, clear the variable y to obtain the explicit form of the linear equation:
y = 5 · x + 4
Second, look up for two distinct points on Cartesian plane by evaluating the expression at distinct values of x:
x = 0
y = 5 · 0 + 4
y = 4
x = 1
y = 5 · 1 + 4
y = 9
The points (0, 4) and (1, 9) lie on the line.
Third, mark the coordinates of the two points and pass a line through them.
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What will be the median of the following set of numbers? 126,132,128,124,134,142,134,146,134,132
Answer:
133
Step-by-step explanation:
for that we need to sort the numbers :
124,126,128,132,132,134,134,134,142,146
the median is the number, for which half of the other numbers are smaller, and the other half of the other numbers is larger.
as we have 10 numbers, there is no such single middle number.
instead, we take the 2 middle numbers and calculate their mean value. that is then the median.
the 2 middle numbers are based on our sorted list above
132, 134
the mean value is
(132 + 134)/2 = 133
and that is then the median.
Which graph represents a function?
Answer:
The 4th Option
Step-by-step explanation:
For a graph to be a function, it must not be broken up at any point (as in Option 3) and there can be no points that overlap each other vertically (as in Options 1 and 2). So, the only option that is continuous and with no overlapping points is Option 4.
Factor each expression. x²-6 x+8
We will use factorization for the given equation. The factors of the expression x²-6 x+8 are x = 2, x = 4
What is factorization?Writing a number or other mathematical object as the result of numerous factors—typically smaller or simpler objects of the same kind—is known as factorization or factoring in mathematics. For instance, the polynomial x2 - 4 and the number 15 may both be factored using the formula 3 × 5.
Given,
x²-6 x+8
Using factorization,
x² -4x - 2x + 8
⇒ x(x - 4) - 2(x - 4)
⇒ (x-2) (x-4)
⇒ x = 2, x = 4
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Let g(x)=6-4 x
b. What is the inverse of g ?
Answer:
g-1(x)=-1/4x+3/2
Step-by-step explanation:
a savings account recieves 12% simple interest p.a. how long would it take for £30000 to gain £7200 in interest
Answer:
2 years
Step-by-step explanation:
I= PRT/100
I=£30000 x 12 x 1 /100 =£3600
Since the interest for one year is £3600, the interest for two years is £3600x2 =£7200
A grocery store sells 6 oranges for $2. The cost of the oranges varies directly with the number of oranges.
The answer will be y =2
x and y graph also known as the x and y-axis are two important lines that make a graph. A graph consists of a horizontal axis and a vertical axis where data can be represented. A point can be described in a horizontal way or a vertical way, which can be easily understood using a graph. These horizontal and vertical lines or axis in a graph are the x-axis and y-axis respectively.
A x and y graph can be defined by the two axes i.e. x-axis and the y-axis that form a coordinate plane for a graph. The horizontal axis is represented by the x-axis and the vertical axis is represented by the y-axis. The point where the x and y-axis intersect is known as the origin and is used as the reference point for the plane.
y = 1/3x
when x =0
y = 0
when x =3
y = 1/3×3 = 1
when x=6
y=1/3×6= 2.
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Could someone help me on this please
Answer:
4, 0, 3
Step-by-step explanation:
You want to know which numbers are possible values of m, given a graph of the values of m.
Interpreting a number line graphThe graph shows an empty circle at m=6, and an arrow extending to the left from that point. The empty circle means that m=6 is not a possible value of m.
The arrow extends through possible values of m, and extends to negative infinity. That means m may have any value less than 6. Such values on the offered list are ...
4, 0, 3
__
Additional comment
The values 6, 7, 9 are not covered by the dot or the arrow, so are not possible values of m.
Answer:
0, 3, 4
Step-by-step explanation:
When the circle is open and pointing to the left, it means that the variable is less than the number the circle is at. In this case, it means that the variable is less than 6, so you would select all values that are less than 6!
I hope I helped!
Tavon have a gift card for $130 that loses three dollars for each 30 day It is not used he another gift card for $110 that loses 2.5 for each 30 day. It’s not used write and solve an equation for the number of 30 days periods Until the value of kid cards will be equal what will the value of each card Be when they have equal value
The equation for the number of 30 days periods until the value of both cards will be equal is 130 - 3x = 110 - 2.5x
Equationlet
Number of 30 days period = x
Gift card 1:
130 - 3x
Gift card 2:
110 - 2.5x
Equate both gift cards130 - 3x = 110 - 2.5x
130 - 110 = -2.5x + 3x
20 = 0.5x
divide both sides by 0.5x = 20/0.5
x = 40
So,
Gift card 1:
130 - 3x
= 130 - 3(40)
= 130 - 120
= $10
Gift card 2:
110 - 2.5x
= 110 - 2.5(40)
= 110 - 100
= $10
Therefore, the value of each card when they have equal value is $10
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Given the function, find f(-1) and f(3).
The value of function f(x) at x = - 1 and x = 3, will be -
f(-1) = 3
f(3) = 3
We have a function f(x).
We have to evaluate it at x = -1 and x = 3.
What is a function ?A function in mathematics is a relation between a dependent and independent variables [y and x respectively]. In a function, the dependent variable (y) always depends on independent variable (x) for its value. It is denoted by - y = f(x).
According to the question, we have -
f(x) = [- x + 2 , x ≤ 1] and f(x) = [x² - 4x + 6, x > 1]
Now, for x = -1, f(x) will be -
f(- 1) = - (-1) + 2 = 3
and
for x = 3, f(x) will be -
f(3) = 3² - 4 x 3 + 6 = 3
Hence, the value of function f(x) at x = - 1 and x = 3, will be -
f(-1) = 3
f(3) = 3
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What is $210 to $35?
Answer:
210:35 = 6:1
Step-by-step explanation:
210:35
if divided by 35, then 6:1
Pls answer next 5 Minutes
The answer to the value gotten without the significant figure doesn't make sense as there's a huge difference.
How to calculate the number?It should be noted that 13822 to 1 significant figures will be 13000.
Also, it should be noted that 623 to 1 significant figure will be 600.
14 to 1 significant figure will be 10.
Therefore, the multiplication will be:
= (13000 × 600) / 10
= 780000
Therefore, the answer to the value gotten without the significant figure doesn't make sense as there's a huge difference since the earlier value was 615079.
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please help me with this
Answer:
x=30
Step-by-step explanation:
on the left you have a ninety-degree angle.
5(x-12) = 90
5x-60=90
+60 +60
5x=150
/ /
5 5
x=30
Evalute1111011 ×1101 in base tow
Step-by-step explanation:
11dvccvgtgcgt5cjuuhh
The stingray population in a particular reef is decreasing at a rate of 1.4% per year. The population was 3800 in the year 2008.
What is the best prediction of the population in the year 2013? Round to the nearest whole number.
try do to division, 14÷3800
I'm not sure about the round though
2. Twelve cans of sparkling water weigh 9 pounds.
a. How much would 4 cans of sparkling water weigh?
Answer:
Step-by-step explanation:
3 pounds
12 divided by 4= 3 pounds
The equation y = 2.391x +57.420 models the taste rating of a cereal, y, in a survey, where x is the number of grams of sugar per serving.
What does the y-intercept of the equation represent in context of the situation?
A cereal with 0 grams of sugar has a rating of about 57.
A cereal with 0 grams of sugar has a rating of about 2.391.
The average number of grams of sugar is 57.
The average number of grams of sugar is 2.
D
The y - intercept represents a cereal with zero grams of sugar that has a rating of about 57.
What is the general equation of a straight line?The general equation of a straight line is -
y = mx + c
where -
m → slope of line
c → y-intercept of line
Given a equation → y = 2.391x + 57.420 that models the taste rating of a cereal 'y' and 'x' represents the number of grams of sugar per serving.
The y-intercept of the equation represents the point at which the graph of the equation cuts the y - axis. Now, the coordinates of the y-intercept is of the form (0, y). Therefore, the x-coordinate will be 0. Now, the equation given is -
y = 2.391x + 57.420
Comparing it with the general equation of line -
y = 2.391x + 57.420
y = mx + c
The y - intercept is c = 57.420
At x = 0, the equation becomes -
y = 2.391 x 0 + 57.420
y = 57.420
Now -
Number of grams of sugar per serving = 0
Taste rating of a cereal = y = 57.420
Therefore, the y - intercept represents a cereal with zero grams of sugar that has a rating of about 57.
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The sum of two numbers is 56 and the difference is 24. What are the numbers?
Answer:
16 and 40Step-by-step explanation:
The sum of two numbers is 56 and the difference is 24. What are the numbers?
remove the difference from the sum and divide by two, you have the first number, add the difference to the first number and you will have the second number
(56 - 24) : 2 =
32 : 2 =
16 (1st number)
16 + 24 =
40 (2nd number)
25x+5y=15
what would be the answer
Answer:
3-y/3
The slope is -2/5
Step-by-step explanation:
A cooler contains eleven bottles of sports drinks: three lemon-lime flavored, five orange-flavored, and three fruit-punch flavored. You randomly grab a bottle. It is a lemon-lime or a fruit punch..
The probability of grabbing a lemon-limbed or a fruit punch bottle from the cooler is 6/11.
What is 'AND' and 'OR' statements in probability?'AND' represents multiplication and 'OR' represents addition.
The total number of bottles of sports drinks which is also our sample space
N(S) = 11.
The number of lemon-lime flavored bottles [tex]N(L_l)[/tex] = 3.
The Number of fruit punch flavored bottles [tex]N(F_p)[/tex] = 3.
So, the probability of grabbing a lemon-lime bottle [tex]P(L_l)[/tex] = [tex]\frac{N(L_l)}{N(S)}[/tex] = 3/11.
And, the probability of grabbing a fruit punch bottle [tex]P(F_p)[/tex] = [tex]\frac{N(F_p)}{N(S)}[/tex] = 3/11.
∴ The probability of grabbing a lemon-lime or a fruit punch bottle is the sum of the probability [tex]P(L_l) + P(F_p)[/tex].
= 3/11 + 3/11.
= 6/11.
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