Answers
Answer:
y=1x-5
Step-by-step explanation:
Use rise/run
Answer:
[tex]y=x-5[/tex]
Step-by-step explanation:
Just look at the slope and the y-intercept.
The y-intercept is b, and it's -5. The slope is 1, so it is x.
Related Questions
which domain would be the most appropriate set to use for a function that predicts the total weight of pounds
Answers
Accurate Whole numbers .
What is accurate whole number?
Accuracy is defined by the number of significant digits while precision is identified by the location of the last significant digit. For instance the number 1234 is more accurate than 0.123 because 1234 had more significant digits.
What does function mean?
Each element of x is given exactly one element of y via a function from a set x to a set y. The sets x and y are collectively referred to as the function's domain and codomain, respectively.
The following details must to be taken into account:
The term "whole number" refers to a number that is free of fractions and decimals.
It calculated the number of household online devices in relation to the number of occupants.
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s equivalent to 2x + 3?
Answers
Answer:
Step-by-step explanation:
2x+3
x=3divides2
Triangle HIJ is similar to triangle KLM. Find the measure of side MK. Round your
answer to the nearest tenth if necessary.
Answers
MK = 50
to get from 13 to 53
times 1 plus 40
10 times 1 plus 40 =50
Georgina has a total of $5000 invested in a savings account that receives 0.6% APY and a CD that receives 0.9% APY. How much does she have invested in each account if her total annual interest earned is $37.50?
Answers
The amount that Georgina has invested in savings account and CD are $ 2500 each.
Given that:-
Total amount invested in savings account and CD = $ 5000.
APY in savings account = 0.6 %
APY in CD = 0.9 %
Total interest earned = $ 37.5
Let the amount invested in savings account be x.
Hence, according to the data given in the question, we can write,
Amount invested in CD = 5000 - x
Interest in savings account in a year = x*(0.6)*1/100 = 0.006x
Interest in CD in a year = (5000-x)*(0.9)*1/100 = (0.009)(5000-x) = 45 - 0.009x
Hence,
0.006x + 45 - 0.009x = 37.5
45 - 37.5 = 0.009x-0.006x
7.5 = 0.003x
x = 7.5/(0.003)
x = 7500/3 = 2500
Hence, Georgina has invested $2500 in each savings account and CD.
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is m parallel to n. if so what theorem can you use.
Answers
You can use the Alternate Exterior Angle Theorem to prove that the 2 angles shown on the drawing are congruent to each other.
A material’s density is a measure of its mass per unit volume. In other words, D = M
V
. Use
this relationship to calculate the density of a shiny metal object whose mass was 200 g,
and whose volume was measured to equal 10.4 mL. Round answer to 1 d.p.
Answers
The density of the material of mass 200 g and volume 10.4 ml is 19.2 g/ml.
According to the question,
We have the following information:
Density is defined as the mass per unit volume.
So, we have the formula of density:
Density = Mass/volume
Mass of the metal object = 200 g
Volume of the metal object = 10.4 ml
Density = 200/10.4 g/ml
Density = 19.231 g/ml
Now, we will round it off to nearest 1 decimal point.
We know that when the digit is greater than 5 then the number is increased by 1 and when the digit is less than 5 then the number remains same.
So, we have:
Density = 19.2 g/ml
Hence, the density of the metal object is 19.2 g/ml.
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er 10 ft long rests against a vertical wall. if the bottom of the ladder slides away from the wall at a rate of 0.5 ft/s, how fast is the angle between the ladder and the ground changing when the bottom of the ladder is 8 ft from the wall?
Answers
The angle between the ladder and the ground changes when the bottom of the ladder is 8 ft from the wall is -1/12 radians per second.
Denoting the distance in feet between the wall and the base of the ladder by x and the angle in radians between the ladder and the ground by y, it is noted;
cos(y) = x/10
which implies;
y = arccos(x/10)
Denoting time in seconds by t, it is further noted that;
[tex]\frac{dx}{dy} = \frac{dy}{dx} \frac{dx}{dt}[/tex] (chain rule)
Noting (using a standard table of derivatives for convenience)
[tex]\frac{dy}{dx}= -\frac{1}{\sqrt{1-(0.1x)^2} }(0.1)[/tex] (also by chain rule)
The above equation changes as;
[tex]\frac{dy}{dx}= -\frac{0.1}{\sqrt{1-0.1x^2} }[/tex]
It is noted from the question that in this particular system;
[tex]\frac{dx}{dt} = 0.5[/tex] feet per second
So (denoting the derivative as a function of x)
[tex]\frac{dy}{dt}(x)=\frac{dy}{dx} \frac{dx}{dt} = - \frac{0.05}{\sqrt{1-0.01x^2} }[/tex]
At last;
[tex]\frac{dy}{dt}(8)=\frac{dy}{dx} \frac{dx}{dt} = - \frac{0.05}{\sqrt{1-0.01(64)} }[/tex]
= [tex]\frac{0.05}{\sqrt{1-0.64} }[/tex]
= [tex]\frac{-0.05}{\sqrt{0.36} }[/tex]
= -5/60
= -1/12 radians per second
The angle between the ladder and the ground changes when the bottom of the ladder is 8 ft from the wall is -1/12 radians per second.
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Find f (0) please help me. I need this turned in by 11:59 tonight
Answers
The value of the function f(0) = 1, obtained from the graph.
What is meant by the function?A function is defined as the interaction between a set of inputs that each have one output. A function is a relation between inputs where every input is related to accurately one output. Each function has a domain and a codomain, as well as a range. In general, a function is denoted by f(x), in which x is the input. A function's general representation is y = f. (x). In mathematics, a function is a special relationship between inputs (the domain) and outputs (the codomain), where each input does have exactly one output and the output can be linked directly to its input.For the given question;
The graph for the function is given.
For finding the value of function f(0), simply see the value of y with respect to x = 0.
f(0) = 1, taken from graph.
Thus, the value of function f(0) is found as 1.
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A shipping company packs boxes at the rate shown in the graph below.
14. Based on the data shown in the graph, how many boxes can the shipping company pack in an 18-hour period?
*
0/1
110
Answers
A unit rate means a rate for one of something.
The number of boxes packed in 18 hours is 216 boxes.
What is a unit rate?A unit rate means a rate for one of something.
We write this as a ratio with a denominator of one.
We have,
From the graph, we see that,
In 5 hours, there are 60 boxes packed.
This can be written as:
5 hours = 60 boxes
Similarly,
1 hour = 12 boxes
3 hours = 36 boxes
The number of boxes packed in 18 hours:
1 hour = 12 boxes
Multiply both sides by 18.
18 hours = 18 x 12 boxes
18 hours = 216 boxes
Thus,
The number of boxes packed in 18 hours is 216 boxes.
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What is the slope of the line?
Answers
⇒The line passes through the points (3,0) and (1,-3) I will use them to find the gradient of the line. Note this information is from the graph.
⇒[tex]m=\frac{y_{2}-y_{1} }{x_{2} -x_{1} } \\m=\frac{-3-0}{1-3} \\m=\frac{3}{-2} \\m=-\frac{3}{2}[/tex]
How can I do point-slope form?through (-5, 3), slope= -8/5
Answers
ANSWER
y - 3 = -8/5 (x + 5)
EXPLANATION
The point-slope form of the equation of a line, that has a slope m and passes through point (x1, y1) is:
[tex]y-y_1=m(x-x_1)[/tex]In this problem m = -8/5 and the given point is (-5, 3). The equation is:
[tex]y-3=-\frac{8}{5}(x+5)[/tex]the linear function
Answers
The equation of the linear function is: 3x + y = 1.
How can we define the slope for a given line?
A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate. Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by y and x, respectively. Therefore, the relationship between the change in the y-coordinate and the change in the x-coordinate is provided by the formula m = change in y/change in x = Δy/Δx, where "m" is the slope of a line.
Mathematically, slope of a line = m = (y₂ - y₁)/(x₂ - x₁)
What is the y-intercept for a given line?
When a graph crosses the y-axis, that location is known as the y-intercept. It is, in other words, the value of y at x=0.
What is the general equation of a line?
The equation for a standard line is y - y₁ = m(x - x₁), where m is the slope and c is the y-intercept.
Given, the line passes through the points (-2, 7) and (2, -5).
Now, using the formula established in the literature, we get:
Slope = m = (y₂ - y₁)/(x₂ - x₁) = (-5 - 7)/(2 - (-2)) = -12/4 = -3
Equation of the linear function: y - 7 = (-3)(x - (-2)) ⇒ y - 7 = (-3)(x + 2)
⇒ y - 7 = -3x - 6 ⇒ 3x + y = 1
Thus, the equation of the linear function is: 3x + y = 1.
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a movie ticket used to cost $4.25 back in 1990. inflation exist because products increase in value over time. the inflation rate is about 3.5% in what year can we expect the price of a movie ticket to exceed $5.50
Answers
In the year 1998, movie tickets will be greater than $5.50 as determined by solving the equation y=4.25[(1.035)^x].
What is an equation?
Math can be used to analyze an equation or a set of equations. An equation is a sentence that maintains the equivalence of two expressions. Most of the time, it is easy to solve the arithmetic equations given in an exact manner. While perfect solutions can occasionally be found, it is more typical to find approaches that are just as accurate. It speaks to the particular guidelines for quadratic mathematical equations.A movie ticket cost $4.25 in 1990.
The inflation rate is about 3.5%
Rate increased ,r=100%+3.5%=103.5%=1.035
equation generated is,
y=4.25[(1.035)^x]
Solving the equation for each year, we get the following data:
Tabulating the data
Year cost
1990 4.25
1991 ....
.... ....
1998 5.5964~ 5.6
In the year 1998, the will be greater than $5.50.
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11. Aviation The number of active certified commercialpilots has been declining since 1980, as shown inthe table.a. Find a linear equation that can be used as a modelto predict the number of active certified commercialpilots for any year. Assume a steady rate of decline.
Answers
a. The line equation is given by:
[tex]y=mx+b[/tex]Where m is the slope of the line and b is the y intercep.
In this case y is the number of active pilots and x is the year.
In order to obtain the line equation of the function, you use the information about a pair of years in the given table, in order to calculate the slope of the line. You can select whichever two years with its number of active pilots.
For example, for years 1980 and 1990, you have that the pilots were 182,097 and 149,666 respectively.
To calculate the slope of the line, you use the following formula:
[tex]m=\frac{149,666-182,097}{1990-1980}=-3,243.1[/tex]Then, the slope of the line is negative.
If you consider the zero point of the year axis, as the year 1980, the y intercept of the function will the value of the active pilots in that years, which is 182,097.
Finally, the line equation is:
[tex]y=-3,243.1x+182,097[/tex]b. For the year 2003, you have that x is:
x = 2003 - 1980 =23
You replace this value of x into the linear equation:
[tex]y=-3,243.1(23)+182,097=107506[/tex]The number of active pilots for 2003 is 107,506
Mon. Tues. Wed. Thurs. Fri. 9. 60° 800 650 75° 70° Find the mean temperature in Eagletown for the past 5 days. help me
Answers
f (x)=√x + 9. Find ¹(x) and its domain.
Answers
The inverse and domain of the function are y = x²-9 and all real numbers.
Inverse of a functionA function's inverse is a function that reverses the action of a function, such as g(x). If and only if g(x) is bijective, then the inverse of g(x) exists, and if it exist.
If the function f(x)=√x + 9, find the inverse;
y = √x+9
x = √y+9
x² = y+9
y = x²-9
The domain of the inverse function will exist on all real numbers.
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answer choices:
6cm by 1.5cm
10cm by 2cm
13cm by 4cm
18cm by 4.5cm
80cm by 20cm
worth 23 points! and i will give brainly , pls hellpppp
Answers
Answer:
6cm by 1.5cm
18cm by 4.5cm
80cm by 20cm
Step-by-step explanation:
2/3 + 1/4 + 1/2 = x/12 , so what is x?
Answers
Answer:
Solve for x by simplifying both sides of the equation, then isolating the variable.
x=17
Step-by-step explanation:
boiling an egg physcal or chemcal
Answers
Answer:
it's a chemical change.
Step-by-step explanation:
a raw egg is converted into a hard boiled one by chemical changes happening inside it. Its also an irreversible change
At an amusement park, a new thrill ride was introduced. It costs $7.50 for 3 rides on the Wild Slider. a) What is the Wild Slider’s unit rate per ride? b) At this rate, what would it cost for 18 rides on Wild Slider? Determine the answer two different ways.
Answers
Answer:
The stadium’s seating options will include premium seats (boxes closest to the action), medium-priced seats, and budget-friendly bleachers. Your design calls for 4,500 upper-deck premium seats and 7,500 lower-deck premium seats. The team’s policy is to have a 3:2 ratio of premium seats to bleacher seats. How many bleacher seats will the stadium include?
Answer: 8,000 bleacher seats. 4,500 + 7,500 premium seats = 12,000. 12,000/x = 3/2. x = 8,000.
Multiply.
(2.75 x 10-%) • (4.6 x 10-3)
Answers
Answer:
1.265 x 10-10
Step-by-step explanation:
8^x = 2 Write down the value of x.
Answers
Answer:
x = [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
using the rule of exponents
[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex] , then
[tex]8^{x}[/tex] = 2
[tex]2^3)^{x}[/tex] = 2 , that is
[tex]2^{3x}[/tex] = [tex]2^{1}[/tex]
since the bases on both sides are equal, both 2, then equate the exponents
3x = 1 ( divide both sides by 3 )
x = [tex]\frac{1}{3}[/tex]
find the value of x. Show your steps.
Answers
Answer:
x=8
Step-by-step explanation:
83+(12x+1)=180
It equal to 180 because the line measures to 180.
Then write out the equation and solve.
100x20x10+2=
pls iam doing a test and the calculator is blocked
Answers
Answer:
20002
Step-by-step explanation:
100*20=2000
2000*10=20000
20000+2=20002
Miranda did a survey of what time people
get to their office on Monday morning.
The table shows her results for
150 people.
+
35/40 Marks
Time
before 7 am
7am to 7:59 am
8am to 8:59 am
9am to 9:59 am
+
No of people
15
39
a) What percentage of the people surveyed arrive at their office before 7am?
Optional working
75
21
Answer:
b) What percentage of the people surveyed arrive at their office after 7:59 am?
Optional working
Answer:
%
Answers
a) 10 percent people arrive before 7 am.
b) 64 percent of the people arrive after 7:59 am.
Here, we are given the following data-
Time No. of people
before 7 am 15
7am to 7:59 am 39
8am to 8:59 am 75
9am to 9:59 am 21
a) the number of people who arrive at the office before 7am = 15
The total number of people in the office = 150
Thus, the percentage of people surveyed who arrived before 7 am = (15/150)*100
= (1/10)*100
= 10
Thus, 10% people arrive before 7 am.
b) The number of people who arrive after 7:59 am = 75 + 21
= 96
Thus, the percentage of people surveyed who arrived after 7:59 am =
(96/150)*100
= (0.64)*100
= 64
Thus, 64 percent of the people arrive after 7:59 am.
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write an equation for the line parallel to y 3x - 8 through the point (-2,-7)
Answers
Answer:
y = 3x - 1
Step-by-step explanation:
In order for lines to be parallel, they must have the same slope.
The slope of y = 3x - 8 is 3.
Now, we can solve it using point-slope form. Remember that m = 3, x₁ = -2 and y₁ = -7:
y − y₁ = m(x − x₁)
y - (-7) = 3(x - (-2))
y + 7 = 3(x + 2)
Distribute 3 and isolate y:
y + 7 = 3x + 6
y = 3x - 1
**#5.) Use the diagram below to answer the questions.
Answers
Answer:
a) ∠13
b) ∠13
c) ∠2
Step-by-step explanation:
a) ∠ 8 + ∠13 = 180°
Co - interior angles are supplementary, when m // l
b) ∠5 ≅ ∠13
If m // l, the corresponding angles are congruent.
c) ∠5 + ∠2 = 180°
∠5 and ∠2 are co interior angles and they are supplementary if a // b.
Swimming pool on a certain hot summer day, 606 people used the public swimming pool the daily prices are $1.75 for children and $2.50 for adults the receipts for admission totaled $1357.50. How many children and how many adults swam at the public pool that day
Answers
On a hot summer day, 606 people used the public swimming pool; daily admission prices are $1.75 for children and $2.50 for adults; admission receipts totaled $1357.50; 396 adults and 210 children swam at the public pool that day.
What is permutations and combination?A set's subsets can be created in two ways: combination and permutation. When the subset's components are combined, they can be listed in any order.The subset's components are listed in a permutation in a specific order. Permutations include the arrangement of people, digits, numbers, alphabets, letters, and colors. Choosing the menu, cuisine, clothes, subjects, and team are all examples of combinations.When creating permutations, we use the notation nPr, where n represents the number of available options, P represents the permutation, and r represents the number of options you are selecting.To calculate the permutation, use the formula nPr = n! / (n - r)!Therefore,
1.75C + 2.50A = 1357.50
C + A = 606
C = 606-A
1.75(606 - A) + 2.50A = 1357.5
1060.5 - 1.75A + 2.50A = 1357.5
1060.5 + 0.75 A = 1357.5
0.75 A = 297
A = 297/0.75
A = 396
No of adults = 396
Therefore children = 606-396
No of children = 210
396 adults and 210 children swam at the public pool that day
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3) Calculate the area of this trapezium
D
A
11 cm
¹9 cm
19 cm
B
10 cm
C
Answers
Answer:
A = 135 cm²
Step-by-step explanation:
the area (A) of a trapezium is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the perpendicular height between the bases b₁ and b₂
here h = 9 , b₁ = 19 , b₂ = 11 , then
A = [tex]\frac{1}{2}[/tex] × 9 × (19 + 11) = 4.5 × 30 = 135 cm²
30 POINTS!! HELP ASAP!
Answers
Answer: Hi this would be the arrow that goes to the left and the dot on the right, so something like ← and dot. Hope this helps, I know this is confusing but try your best.
Step-by-step explanation:
Answer:
After solving the inequality, we get:
[tex]x\leq -10[/tex]
With the plotted inequality given.
Step-by-step explanation:
Step 1: Manipulate and solve the inequality
The inequality is given as:
[tex]\frac{1}{2}x+8\leq 3[/tex]
Make [tex]x[/tex] the subject of the inequality to solve it:
[tex]\frac{1}{2}x+8\leq 3\\\\\text{Subtract 8 from both sides of the equation:}\\\frac{1}{2}x+8-8\leq 3-8\\\\\text{Simplify:}\\\frac{1}{2}x\leq -5\\\\\text{Multiply by 2 on both sides of the inequality:}\\2\times \frac{1}{2}x\leq -5\times 2\\\\\text{Simplify:}\\x\leq-10[/tex]
Step 2: Plot the inequality
After solving the inequality, we get:
[tex]x\leq -10[/tex]
Which means that [tex]x[/tex] consists of all values that are equal to and less than [tex]-10[/tex].
On a number line, when the inequality includes the value, it is denoted by a closed circle.
With all this information, let's plot the number line: