Answers
1. Three graphs were created and the solution is identified on the graphs.
Solutions are
System A is upper right (1, 2)
System B is lower left ( 5, -6)
System C is lower right ( 1/2, 3)
2. Find the sum or difference. When you solve this way, you want either the x or the y values to cancel out so you can solve for one variable.
System A is already set up this way. See how the 4x and -4x cancel out?
4x + 3y = 10
-4x +5y = 6
__________
8y = 16
Divide both sides by 8 to solve
8/8 y = 16/8
y = 2
Sub y = 2 into either equation to solve x
4x + 3y = 10
4x + (3)(2) = 10
4x + 6 = 10
Subtract 6 from both sides to isolate variable
4x + 6 -6 = 10 - 6
Simplify
4x = 4
Divide both sides by 4 to solve
4/4 x = 4/4
x = 1
Solution pair is (1, 2)
System B has the y values ready to cancel out
2x + y = 4
x - y = 11
__________
3x .= 15
Divide both sides by 3 to solve for x
3/3 x = 15/3
x = 5
Sub x = 5 into either equation to solve for y
5 - y = 11
Subtract 5 from both sides
5-5 -y = 11 - 5
-y = 6
y = -6
Solution pair is ( 5, -6 )
System C - we need to multiply the second equation by -1 to create the cancel of x
8x + 11y = 37
8x + y = 7
-1. -1. -1
___________
-8x -y = -7
Now we can cancel the x’s and solve
8x + 11y = 37
-8x -y = -7
___________
10y = 30
Divide both sides by 10
10/10 y = 30/10
Simplify
y = 3
Now sub y = 3 into either equation to solve x
8x + (11)(3)= 37
8x + 33 = 37
Subtract 33 from both sides
8x + 33 - 33 = 37 - 33
8x = 4
Divide both sides by 8 to solve for x
8/8 x = 4/8
x = 4/8
Simplify
x = 1/2
Solution pair is ( 1/2, 3)
3. The graphs show the x horizontal line and y vertical line from the coordinate solution intersect with the lines of the two equations.
This was a lot of work. I hope it made sense.
Related Questions
A circle has its center at (2,3). One point on the circle is (-2,5). Which is
another point that lies on the circle?
Answers
18
H
Ε
5
8
10
12
P
12
R
Similar or not similar?
[ Select]
Why?
[ Select)
V
Answers
1
Multiple Choice Question
What type of number is 105?
Choose all that apply
Whole number
Integer
Rational
Irrational
Answers
Analyzing the options given in the question, the options that satisfy for the number 105 are: Integer, Rational, Whole number.
What are whole numbers?All natural numbers and 0 are included in the category of whole numbers. They are a subset of real numbers, which exclude negative numbers, decimals, and fractions.
What are rational numbers?A rational number is a number which is in the form of p/q where p and q are both integers and q is not equal to zero.
The number 105 is , Whole number since it falls between all the numbers between 0 to positive infinity. Similarly, the number is an Integer since it does not contain any fractions or decimals. And, the number 105 is rational number since it can be expressed in the form of 105/1.
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50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answers
Answer:
a=18.7 or 19 rounded up
Step-by-step explanation:
Use Pythagoras Thereom
a^2=8^2+17^2
a^2=64+289
a^2=353
√353
a=18
Answer:
The length of missing leg is 15 cm.
Antonio Ruiz pays a monthly premium of $175 for health insurance. He can purchase dental care and vision
care insurance for his family at an additional cost. The dental premium is $595 and the vision premium is
$195 per year. What is his total monthly premium for all his insurance?
$256.12
$240.83
b. $527.12
d. $238.41
Answers
explanation:
Since he pays health insurance MONTHLY, you multiply 175x12=1200.
Since the others are yearly, just add those too 1,200.
1200+595+195=2,890.
Since you are looking for his monthly total you want to divide 2,890 by 12. Giving you the answer $240.83
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answers
Answer:
multiply the two numbers on a calculator
Step-by-step explanation:
give brainlest please
Answer:
Using Pythagorean Theorem: a^2 + b^2 = c^2
Answer is 8.2
Using the net below, find the surface area
of the pyramid.
2 lin.
3 in.
|3 in.
Surface Area
=
[?] in.2
Answers
9 + 12
21 in^2
Answer:
i think 18 i just did that yesterday
A spinner is divided into five colored sections that are not of equal size: red, blue,
green, yellow, and purple. The spinner is spun several times, and the results are
recorded below:
Spinner Results
Color Frequency
Red
12
Blue
17
Green 17
Yellow 12
Purple 17
If the spinner is spun 500 more times, about how many times would you expect to
land on blue? Round your answer to the nearest whole number,
Answers
I need urgent help with this pls
Answers
The table describes the quadratic function p(x).
x p(x)
−1 10
0 1
1 −2
2 1
3 10
4 25
5 46
What is the equation of p(x) in vertex form?
p(x) = 2(x − 1)2 − 2
p(x) = 2(x + 1)2 − 2
p(x) = 3(x − 1)2 − 2
p(x) = 3(x + 1)2 − 2
Answers
The equation of p(x) in vertex form is p(x) = 3(x - 1)² - 2.
Option C is the correct answer.
What is a polynomial?Polynomial is an equation written as the sum of terms of the form kx^n.
where k and n are positive integers.
We have,
From the table,
From p(x) = 10 to p(x) = -2 the value of p(x) is decreasing and from p(x) = -2 to p(x) = 46 it is increasing.
So,
The vertex is (1, -2).
The vertex form of p(x).
p(x) = a ( x - h)² + k
Where (h, k) is the vertex.
Now,
(1, -2) = (h, k)
Make (0, 1) = (x, p(x))
1 = a (0 - 1)² + (-2)
1 = a - 2
a = 1 + 2
a = 3
Thus,
The vertex equation of p(x).
p(x) = 3(x - 1)² - 2
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PLEASE HELP ME DUE TODAY NOW ASAP THANKS
Answers
The rate of change of the end points of the line is 32/10
What is slope?
Slope is defined as the rate of change of y with respect to x. Also it is defined as increase in y over increase in x or decrease in y over decrease in x
slope is denoted by the formula = Δy/Δx
Where Δy = change in y
Δx= change in x
The given points are (-9, -2) and (5, 119/5)
The slope of the end points (119/5 + 21)/(5+9)
The slope is (119+105)/5
M= 44.8/14
The slope is 3.2 = 32/10
Therefore the rate of change is given as 32/10
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singular noun or plural noun sentenses
Answers
Answer:
Singlular: Hello, this is my cat
Plural: Hello these are my dogs
Step-by-step explanation:
Singlular sentances are just one thing like 1 cat or 1 dog, Plural sentances are more than one thing like cats and dogs
Given ABCD…. Please I need help ASAP.
Answers
180-120=60
60divided by 3
So 3x=60
X=20
A city has 22 radio stations, including 8 classical stations. What is the probability that a randomly chosen radio station in this city is a classical station
IN THE SIMPLEST FRACTION
Answers
Answer:
4/11
Step-by-step explanation:
8/22 chance and simplified gives the answer.
If 19 is subtracted from three times a number, the difference is 110. What is the number? *
Answers
Answer:
Step-by-step explanation:
Three of you is 3 Sarahs. 3 times a number is 3n, or 3-whatever letter you pick. Subtract 19 from that...
3n - 19
If it confuses you, pick an actual number to use. 19 subtracted from 3 times 6.
3(6) - 19
Instead of solving and getting 1, just replace the 6 with a letter. Most people like to use x, but I used n since "number" starts with n.
3n - 19
Consider the given functions.
х
f(x)
h(x)
A
-2
48
4
-1
24
2
0
12
g(x) = 2* - 5
1
6
-4
IX
d
2
2
3
1.5
3
Select the true statement regarding the end behavior of the functions.
ОА.
As the value of x increases, g is the only function to approach 0.
As the value of x increases, fand h both approach positive infinity
OB.
Ос.
As the value of x increases, fis the only function to approach o.
As the value of x increases, fand g both approach positive infinity
D
Answers
Answer:
d
Step-by-step explanation:
The as the value of x increases, f and g both approach positive infinity.
What are Functions?
Functions describe relationship between set of variables.
The given g function, g(x)g(x) = 2ˣ - 5
As the values of x increases, the value of g increases to positive infinite.
The given f function, f(x)From the given table of function f, as the value of x increases, f approaches positive infinity.
Thus, the as the value of x increases, f and g both approach positive infinity.
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The positive number a is 2,352% of the sum of the positive numbers b and c, and b is 84% of c. What percent of b is a?
Answers
Answer: We can start by using the information given to set up an equation. We know that:
a = 2,352% of (b + c)
b = 84% of c
We can express the first equation in terms of percentages by dividing both sides by 100:
a = 23.52(b + c)
We can also express the second equation in terms of percentages by dividing both sides by 100:
b = 0.84c
Now we can substitute the second equation into the first equation:
a = 23.52(0.84c + c)
a = 23.52(1.84c)
So a = 43.1184c
To find the percentage of b, we divide b by a and multiply by 100:
percentage of b = (b / a) * 100
Now we substitute values of a and b
percentage of b = (0.84c / 43.1184c) * 100
percentage of b = (0.84 / 43.1184) * 100
Which simplify to
percentage of b = 1.9425 %
Step-by-step explanation:
Each scoop radius (center to surface) is 3 cm long. What should be the capacity (volume) of the cylindrical container the shop pack the ice cream to take out? *
Answers
Answer:
[tex]28.26h\ cm^3[/tex]
Step-by-step explanation:
The radius of the cylinder, r = 3 cm
We need to find the volume of the cylindrical container the shop pack the ice cream to take out.
The volume of a cylinder is given by :
[tex]V=\pi r^2 h\\\\=3.14\times 3^2h\\\\=28.26h\ cm^3[/tex]
So, the volume of the cylindrical container is [tex]28.26h\ cm^3[/tex].
A national publication showed the following distribution of favorite class subjects for high school students.
Math: 5% English: 14% Social Studies 28%: PE: 26% Music: 20% Other: 7&
Pasquale, a student from a high school of 1,200 students, wants to see whether the distribution at his school matches that of the publication. He stands at the school entrance in the morning and asks the first 40 students he sees what their favorite class is. Pasquale records the following table of observed values.
Math: 7 English: 8 Social Studies: 7: PE: 6 Music: 6 Other: 6
He decides to conduct a chi-square goodness-of-fit test to see whether his high school's distribution differs significantly from that of the publication. Pasquale’s statistics teacher tells him that his information does not meet the conditions necessary for a goodness-of-fit test. Which condition has not been met?
I. Data are collected using a random sample or randomized experiment
II. n≤0.10N
III. All expected counts are greater than 5.
A) I only
B) II only
C) III only
D) I and III only
E) I and II only
Answers
Answer:
D) I and III only
Step-by-step explanation:
It was never specified if the sample was random, but the method of sampling was not random. So I must be true, eliminating B and C. Additionally, not all the expected counts are greater than 5 as 40(0.05)<5, 40(0.14)>5, 40(0.28)>5, 40(0.20)>5, 40(0.26)>5, 40(0.20)>5, and 40(0.07)<5. Therefore, D is the only correct answer.
If 20 articles cost ? 90, then the cost of 9 articles is ?
? 45
? 4.50
? 40.50
? 42
Answers
Answer:
40.50 is correct answer according to me
List the integers that satisfy both these inequality. 2x+9<0 x>-12
Answers
Answer:
Given:
2x + 9 < 0 ⇒ 2x < - 9 ⇒ x < - 4.5x > -12Combined we have:
-12 < x < - 4.5The integers in the same interval are:
x ∈ {-11, -10, -9, -8, -7, -6, -5}In a random survey, people were asked how many pairs of shoes they own.
The results are recorded in the graph below.
Pairs of Shoes
Stem
Leaf
0
3 7
1
1 2 7
2.
1 5 6 8
3
1 3 7
4
O 5 8
5
1 3 7
What is the median number of pairs of shoes in this survey?
Answers
Answer:
29.5
Step-by-step explanation:
median number is the middle number
A bakery sold a total of 500 cupcakes in a day, and 360 of them were mocha flavored.
What percentage of cupcakes sold that day were mocha flavored?
Answers
Answer:
72%
Hope this Helps! :)
Answer:
72%
Step-by-step explanation:
360. X
500. 100
you times 360 with 100= 36,000 then u divide by 500= 72%
Find the missing angle. Find x.
Answers
For problems 1–4, solve the given system of equations using either substitution or elimination.
Answers
1. -3, -2
2. 1, -7
3. 1, 2.5
4. infinitely many solutions
2+2........................
Answers
Answer:
omg its 4
Step-by-step explanation:
But can you help me on my question?
what is the area of the figure?
Answer:
Answer is 4.
Step-by-step explanation:
Why?
Heres the explanation:
1, 1, 1, 1, = 4
Cheers :)
do two rectangle prisms have the same volume? Sometimes, always, never. Pls explain! Giving brainlyst :3
Answers
Answer:
It is a known fact that there are rectangular prisms with the same volume but different dimensions.
help me pls
Angle Relationships
Answers
As a result, the answer to the given angle problem can be found by comparing the position, measurement, and congruence of two or more angles.
Define angle.When two lines come together at a common point, an angle is created. They are expressed as a number of degrees, denoted by the symbol °. Acute, right, obtuse, and reflex angles are the other three significant types of angles. 360 degrees make up a circle. A 720° angle indicates that the object has completed two full rotations.
Here,
You can compare angles and take into account their relationships to other angles in addition to calculating degrees or radians.
Since we are comparing the position, measurement, and congruence of two or more angles, we refer to them as having "angle relationships."
For instance, two lines or line segments that cross each other create two pairs of vertical angles.
When a transversal intersects two parallel lines, complex angle relationships, such as alternating interior angles, matching angles, and so forth, result.
As a result, the answer to the given angle problem can be found by comparing the position, measurement, and congruence of two or more angles.
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The Chess Club president brought donuts to the club meeting each week. As the club grew, more donuts were needed so that each member could have a donut. The table below shows the ratios of boxed donuts to the cost.
Donuts A 4 5 C
Cost 13.80 27.60 B 55.20
Determine which table has the correct values for A, B, and C.
Donuts 3 4 5 7
Cost 13.80 27.60 34.95 55.20
Donuts 2 4 5 8
Cost 13.80 27.60 34.95 55.20
Donuts 3 4 5 6
Cost 13.80 27.60 34.50 55.20
Donuts 2 4 5 8
Cost 13.80 27.60 34.50 55.20
Answers
The table with correct values of A, B and C is,
⇒ Donuts 2 4 5 8
Cost 13.80 27.60 34.50 55.20
What is mean by Ratio?A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.
We have to given that;
The table below shows the ratios of boxed donuts to the cost.
Donuts A 4 5 C
Cost 13.80 27.60 B 55.20
Now, By definition of ratio, we get;
⇒ A / 13.80 = 4 / 27.60
⇒ A = 13.80 × 4 / 27.60
⇒ A = 2.00
And,
⇒ 4 / 27.60 = 5 / B
⇒ B = 5 × 27.60 / 4
⇒ B = 34.5
⇒ 4 / 27.60 = C / 55.20
⇒ C = 55.20 × 4 / 27.60
⇒ C = 8
Thus, The table with correct values of A, B and C is,
⇒ Donuts 2 4 5 8
Cost 13.80 27.60 34.50 55.20
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Answer:
a
Step-by-step explanation:
i took the test :)
PLease help very easy