Answer:
Let's go through the following example to show how to solve a system of equations by graphing. I won't solve this system, I will just show how to.
[tex]8x-3y = 17\\4x+y=21[/tex]
If you can use an online graphing calculator...
If you have an online grapher (like Desmos) at your disposal, then you can put each equation in it as it is.
Lines intersect -> Put your cursor over the point of intersection to get the solution.Lines never intersect -> The lines are parallel and there is no solutionLines perfectly fall on each other -> The lines are the same and have infinite solutionsIf you have a physical graphing calculator (like TI-84)
1. Get both equations in the form [tex]y=mx+b[/tex] by solving for y.
[tex]8x-3y=17\\-3y=-8x+17\\y=\frac{8}{3}x-\frac{17}{3}[/tex] [tex]4x+y=21\\y=-4x+21[/tex]
2. Put both equations in the graphing calculator
Lines intersect -> Find the intersection point using your graphing calculator's mechanics (each one is a little different)Lines never intersect -> The lines are parallel and there is no solutionLines perfectly fall on each other -> The lines have the same equation and have infinite solutionsIf you just have graphing paper...
1. Get both equations into the form [tex]y=mx+b[/tex] by solving for y.
[tex]8x-3y=17\\-3y=-8x+17\\y=\frac{8}{3}x-\frac{17}{3}[/tex] [tex]4x+y=21\\y=-4x+21[/tex]
2. Plug in a few different points for x and calculate their y-values.
3. Plot those points on the graph paper
Lines intersect -> Find the intersection point's coordinates to get the solution for x and y.Lines never intersect -> The lines are parallel and there is no solutionLines perfectly fall on each other -> The lines have the same equation and have infinite solutions.If m∠AEB = 88°, find m∠AED
Answer:
fjruehbrehjfg
Step-by-step explanation:
h3efhrifhe
] 8 Which expression is equivalent to 12x + 3y - 9x ?
А. 3x + Зу
В. бxy
С. 12х – бу
D. x+y
Find the area of the triangle.
3 yd!
2.
12 yd
The area of the triangle is
square yards.
1. An airplane flies with a constant
speed of 740 miles per hour. How
far can it travel in 2 hours?
Answer:
740×2= 1480 in 2 hours
hope this helps :)
If the probability of having rain tomorrow is 60%, what is the probability of not having rain tomorrow?
HELPPPPPP ANYBODY KNOW????
Can someone help me please?
Given:
A line segment AB.
A point is [tex]\dfrac{3}{10}[/tex] of the way from A to B.
To find:
The coordinates of that point.
Solution:
Section formula: If a point divide a line segment in m:n, then
[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]
From the given figure, it is clear that the two end points of the line segment are A(-4,-5) and B(12,4).
Let the unknown point be P. The point is [tex]\dfrac{3}{10}[/tex] of the way from A to B. It means,
[tex]\dfrac{AP}{AB}=\dfrac{3}{10}[/tex]
Let AP and AB are 3x and 10x, then
[tex]\dfrac{AP}{PB}=\dfrac{AP}{AB-AP}[/tex]
[tex]\dfrac{AP}{PB}=\dfrac{3x}{10x-3x}[/tex]
[tex]\dfrac{AP}{PB}=\dfrac{3x}{7x}[/tex]
[tex]\dfrac{AP}{PB}=\dfrac{3}{7}[/tex]
It means, point P divided the line segment in 3:7.
Using section formula, we get
[tex]P=\left(\dfrac{3(12)+7(-4)}{3+7},\dfrac{3(4)+7(-5)}{3+7}\right)[/tex]
[tex]P=\left(\dfrac{36-28}{10},\dfrac{12-35}{10}\right)[/tex]
[tex]P=\left(\dfrac{8}{10},\dfrac{-23}{10}\right)[/tex]
[tex]P=\left(0.8,-2.3\right)[/tex]
Therefore, the coordinates of the required point are (0.8, -2.3).
At the city museum, child admission is $6.40 and adult admission is $9.90. On Saturday, twice as many adult tickets as child tickets were sold, for a total sales of $733.60. How many child tickets were sold that day?
Answer:
x child tickets, y adult tickets
6.40x+9.50y=1260.70
x+y=150
64x+95y=12607
x+y=150
If you solve this, you have to get x=53, y= 97.
So 53 child tickets and 97 adult tickets
One year Hank had the lowest ERA (earned-run average, mean number of runs yielded per nine innings pitched) of any male pitcher at his school, with an ERA of 3.36 . Also, Jane had the lowest ERA of any female pitcher at the school with an ERA of 3.49 . For the males, the mean ERA was 4.449 and the standard deviation was 0.792 . For the females, the mean ERA was 5.091 and the standard deviation was 0.669 . Find their respective z-scores. Which player had the better year relative to their peers, Hank or Jane
Answer:
Hank had a z-score of -1.375.
Jane had a z-score of -2.39.
Jane had the better year relative to their peers, due to her lower z-score.
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Hank:
ERA of 3.36. For the males, the mean ERA was 4.449 and the standard deviation was 0.792. This means that we have to find Z when [tex]X = 3.36, \mu = 4.449, \sigma = 0.792[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{3.36 - 4.449}{0.792}[/tex]
[tex]Z = -1.375[/tex]
Hank had a z-score of -1.375.
Jane
ERA of 3.49. For the females, the mean ERA was 5.091 and the standard deviation was 0.669. This means that we have to find Z when [tex]X = 3.49, \mu = 5.091, \sigma = 0.669[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{3.49 - 5.091}{0.669}[/tex]
[tex]Z = -2.39[/tex]
Jane had a z-score of -2.39.
Which player had the better year relative to their peers, Hank or Jane
Low ERA is good, high is bad. This means that whoever had the lower z-score had the better year, and in this case, it's Jane
someone help what the answer
Solve the following proportion: x 65 thousand
---- =. ------------
10 million. 40 million
Express your answer as a value written in standard form.
Answer:
2600000000000000000000000000000000000
Step-by-step explanation:
65 thousand times 40 million times 10 million
Answer:
great question
Step-by-step explanation:
When you stand on snow, the average pressure P (in pounds per square inch) that you exert on the snow varies inversely with the total area A (in square inches) of the soles of your footwear. Suppose the pressure is 0.43 pound per square inch when you wear the snowshoes shown. Write an equation that gives P as a function of A. Then find the pressure if you wear the boots shown. (A=400in^2)
Find the pressure if you wear the boots shown below. (A=60in^2)
Answer:
0.43*0.43
Step-by-step explanation:
The pressure on the snow if the area of the footwear is 400 in² is 0.0645 pounds per square inch.
What is pressure?The force applied perpendicular to an object's surface per unit area across which that force is spread is known as pressure.
[tex]P= \dfrac{W}{A}[/tex]
As it is given that the pressure is inversely proportional to the area of the footwear. Therefore, the relation can be written as,
[tex]P\propto \dfrac{1}{A}\\[/tex]
Now, introducing a constant to remove the proportionality symbol, w that is the weight of the person, therefore,
[tex]P= \dfrac{W}{A}[/tex]
Now, as the area of the shoe is 60in², the pressure on the snow is 0.43 pounds per square inch. Therefore, the value of w can be written as,
[tex]0.43= \dfrac{W}{60}\\\\W = 25.8\rm\ pounds[/tex]
Now, the pressure on the snow if the area of the footwear is 400 in².
[tex]P= \dfrac{W}{A}\\\\P= \dfrac{25.8}{400}\\\\P = 0.0645 \rm\ pounds\ per\ inch^2[/tex]
Hence, the pressure on the snow if the area of the footwear is 400 in² is 0.0645 pounds per square inch.
Learn more about Pressure:
https://brainly.com/question/356585
when calculating present value, the _____ the interest rate, the smaller the present value amount.
•smaller
•larger
when calculating present value, the _____ interest rate, the smaller the present value amount.
* smaller
* larger,✓
The correct value is,
''When calculating present value, the smaller the interest rate, the smaller the present value amount.''
What is Simple interest?
A quick and easy method of calculating the interest charge on a loan is called a Simple interest.
Given that;
To calculating the present value, The smaller the present value.
Now,
The correct value is,
''When calculating present value, the smaller the interest rate, the smaller the present value amount.''
Learn more about the simple interest visit:
https://brainly.com/question/20690803
#SPJ2
a store charges 32% extra for credit items. if the cash price is $1100, what is the credit price?
Answer:
$1452
Step-by-step explanation:
[tex]CP=1100*1.32=$1452[/tex]
An item that was selling for $82.00 is reduced to $60.00. Find the percent decrease in price. Round your answer to the nearest tenth.
Answer:
Step-by-step explanation:
Amount of decrease = 82-60 = 22
percentage decrease = 22/82 ≅ 0.268 = 26.8%
Can someone please help me with my homework
Answer:
Do not use, there's still one more piece of the puzzle missing.
X =
Step-by-step explanation:
Lets look everything over and compare the corresponding parts of the 2 triangles.
One side of each is shared between the two triangles.
Another side of each triangle is 13 on each triangle.
The included angle of one triangle is 80 degrees and the other is 110 degrees.
on a nice day there are 90% of children playing outside during recess. if there are 150 children how many of them are playing outside
Answer:
150.9 ?
Step-by-step explanation:
Solve the Equation
-8.3 = d+4.7
Answer:
d = -13
Step-by-step explanation:
-8.3 = d + 4.7
-8.3 - 4.7 = d
-13 = d
-8.3=d+4.7
What you want to do is flip the equation like this:
d+4.7=-8.3
The next step is to subtract 4.7 from both sides of the equation:
d+4.7=-8.3
-4.7 (both sides)
this equals to d=-13
Your final answer is d=-13 (negative 13).
Hope this helps!!
Classify the following triangle. Check all that apply.
Answer:
B & F
Step-by-step explanation:
Answer:
Right
Isosceles
But that’s all I got
Step-by-step explanation:
ABCD is a parallelogram. If m/CDA = 63, then m/ABC = ? . The diagram is not to scale
it’s 63 because the sides are equal on both sides
З
3
2
5
х1
х9
9
З
х3
. . . . . .
7
5
2
1
3 г.)
Х
x 9
x 9
# F
Answer:
bu ney ben anlamadım gerçek
Question 3
1 pts
• A solar panel absorbs 6,771 J of radiant energy, and produces 3,291 ) of
electrical energy. What is it's percent efficiency?
(make sure you multiply x100 to get a % between 0 and 100)
9514 1404 393
Answer:
48.6%
Step-by-step explanation:
Efficiency of energy conversion is the quotient of output energy and input energy.
(3291 J)/(6771 J) × 100% ≈ 48.6%
The solar panel's conversion efficiency is about 48.6%.
_____
Additional comment
With current (2021) technology, the best efficiency one can expect from a solar panel is in the neighborhood of 23%.
What are verbs? Example
Answer:
Hi! Hope this helps!
Step-by-step explanation:
A verb is used to describe actions.
Example: I JUMPED over the rock. In this sentence the verb is JUMPED
a ver
Step-by-step explanation:
a verb is a word used to describe an action , state , occurrence and forming the main part of a predicate of a sentence
To the nearest inch, a door is 75 in. tall and 35 in. wide. What is the ratio of the
width to the height?
Answer:
35 in to 75in
Step-by-step explanation:
find the product of 1x6x6
Answer:
36
Step-by-step explanation:
1x6=6
6x6=36
Hope this helps! :)
Please I need help ASAP
Answer:
It's 28!
Step-by-step explanation:
Answer:
28 in
Step-by-step explanation:
convert the whole thing to inches
5ft 8in = 68 in
8ft = 96 in
96-68 = 28 in
hi everyone i know all the ansers but i wanna help people too 9x8 2x12
Raina picks 20 flowers
1/4 are roses 2/5
are daisies
How many flowes are lilies?
Answer:
7 of the flowers were lilies.
Step-by-step explanation:
8 daises and 5 roses were picked. 8 + 5 = 13 20 - 13 = 7
7 of the flowers were lilies
Evaluate the expression when b=-7 and c=2.
b-6c
X 5
?
Answer:
-19
Step-by-step explanation:
-7 - 6(2) =
-7 - 12 =
-19
Please help math 1-2 high school solving proofs.
Answer:
1= A
2= C
Step-by-step explanation:
I think this is right I'm not sure but I think it is.
hope this helps :)
find the value of 2xy+3yz-xyz, when x=2, y=-2, z=4
Answer:
-16
Step-by-step explanation:
2xy + 3yz - xyz
x = 2, y = -2, z = 4
First, plug these values into the equation.
2(2)(-2) + 3(-2)(4) - (2)(-2)(4) = ?
Next, multiply the parentheses.
(-8) + (-24) - (-16) = ?
When you add a negative, you are actually subtracting the number. And when you subtract a negative, you are actually adding the number. Apply this to the equation.
-8 - 24 + 16 = ?
Now, simplify from left to right.
-32 + 16
-16
Your answer is -16.
Hope this helps!