Answer:
[tex](3,2)[/tex]
Step-by-step explanation:
The method of variable substitution is a way of solving a system of equations. It involves solving one equation for a variable and then substituting in the expression that represents the value of the solved variable into the other equation. After doing so, one can solve for the unknown variable and then backsolve for the other variable.
[tex]y=-2x+8\\y=x-1[/tex]
In this system, the second equation is already solved for (y), thus one can substitute that expression into the other equation in the system.
[tex]x-1 = -2x + 8[/tex]
Now solve using inverse operations,
[tex]x -1 = -2x + 8\\+2x\\\\3x - 1 = 8\\+1\\\\3x =9\\/3\\\\x = 3[/tex]
Backsolve to find the value of (y), substitute in the value of (x), and solve for the value of (y).
[tex]y=x - 1\\[/tex]
Substitute,
[tex]y=(3)-1[/tex]
Solve,
[tex]y=2[/tex]
Thus, the answer to this system of equations is the following, [tex](3,2)[/tex].
Answer:
(x = 3 and y = 2)
Step-by-step explanation:
Ok, we have our 2 equations...
y = -2x + 8
y = x - 1
Lets solve them
y = -2x + 8 , y = x - 1
They both equal y so I can put them together to equal out. Now our equation is...
x - 1 = -2x + 8
The next step is to get x on one side by itself, so change the negative symbol on -2 to addition...
3x - 1 = 8
Next step is to add 1 on both sides...
3x = 9
Divide both sides by 3...
x = 3
Now to do the other equation, which is easier.
y = x (3) - 1
or
y = 2
Both are solved and we have ...
(x = 3 and y = 2)
Please help me with this assignment. Thank you!
Answer:
I hope this ans helps you
If f(x) = x2 – 2x, find:
f(6)=
Answer:
0
Step-by-step explanation:
When x=6
f(6) =(6)2-2(6)=12-12=0
Answer:
firstly... substitute x for 6 in the equation..
=(6)2 -2(6)
=12-12=0
if you answer all of these you will get a fat brainless. :) pls help
Answer:
1st box- the 3rd option(3215)
2nd box- 3rd option(the one with 5 sides)
3rd box- add 4 and 10
5th box-
700x35= 24,500
900x42= 37,800
6th box-
-[tex]\frac{5}{6}[/tex]
-[tex]\frac{7}{10}[/tex]
7th box-
-divide
-add
-multiply
-subtract
8th box-
6.03$, 6 dollars and 3 cents
9th box- 18 f's
10th box-
1/12, 1/8,1/4,1/3,1/2
Step-by-step explanation:
all i can do rn, sorry.
Can someone please help me with this ?
FIRST TO ANSWER GETS BRAINLYIST
there is no question
Answer:
hi
Step-by-step explanation:
Which expression is equivalent (With explanation)
Answer:
log_7(6)
Step-by-step explanation:
log_7(2)+log_7(3)
log_7(2×3)
log_7(6)
You brought 1.5 dozen bagels to school. A dozen bagels cost $5.98. You used a coupon that took $1.00 off of the total. How much did you pay for the bagels?
$9.97
$4.98
$7.97
$8.97
Answer: (7.97)
Step-by-step explanation:
1 dozen = 5.98
.5 dozen = 2.99
5.98+2.99=8.79 8.79- the 1.00 is (7.97)
hope this helps!
please help me with this i really need help
Answer:
the boxes are this
top left: 9
top right is 7
bottom right is 9
Step-by-step explanation:
PLEASE HELP !! ILL GIVE BRAINLIEST !! 100 POINTS
Answer:
Volume of a cylinder (V) : π x radius ² x height
V = 3.14 x 12² x 13
V = 5878.08 cubic millimeters.
Step-by-step explanation:
A pair of flip flops is $30. How much will they cost after a 20% discount and 6.5% tax?
Answer:
$6.39
Step-by-step explanation
well, 20% of $30 is $6, so then you just have to add on the tax, which is 39 cents, coming to $6.39
Answer:
25.56
Step-by-step explanation:
30 divided by 4 is 6 so 30- 6=24
6.5% of 24=1.56 sooooo 24+1.56=25.56
Milo wants to put a fence around the dog park near his house. He measures the sides and finds they are 7 m and 8 m long. He multiplies 7×2 and 8×2 and finds he needs 30 m of fencing.
Which measurement does 30 m?
Choose 1 answer:
(Choice A)
Perimeter
(Choice B)
Length
(Choice C)
Area
Answer:
(Choice A) Perimeter
Step-by-step explanation:
It can't be the length, because it states in the question that the length is 7 m
and it can't be the area because lw = 7(8) = 56 is the area.
What is the answer for b, and why?
Which expressions are equivalent?
Answer:
choice 1) 1/5k - 2/3j and -2/3j + 1/5k
Step-by-step explanation:
Answer:
The first one
Step-by-step explanation:
what are the features of the quadratic function f(×) =×2 +10×+21?
A is the correct answer
Or
Vertex = (-5,-4), y-intercept = (0,21), x-intercepts = (-7,0) and (-3,0), axis of
symmetry is x = -5
If f(x) = 3x + 5, find f(2).
f(2) = ?
Answer:
[tex]3 \times 2 + 5 = 6 + 5 = 11[/tex]
Please help ggdskdsrjcxseyhcdijb
Answer:
Help
Step-by-step explanation:
I how can I help you?
- Scores on an exam are normally distributed woth a population standard deviation of 5.6. A random sample of 40 scores on the exam has a mean of 32 estimate the population mean with - A) 80% confidence - B) 90% - C) 98%
Answer: i think i got b or c onr of them are correct :)
Step-by-step explanation:
The estimated population mean with
80% confidence = [30.856, 33.135]
90% confidence = [30.543, 33.456]
98% confidence = [29.94, 34.06]
What is confidence interval?For a population with unknown mean and known standard deviation , a confidence interval for the population mean, based on a simple random sample of size n, is [tex]\bar x +_{-}z^{*}\frac{\sigma}{\sqrt{n} }[/tex] , where z* is the upper (1-C)/2 critical value for the standard normal distribution.
Population standard deviation = 5.6
Sample mean = 32
Sample size = 40
Given confidence level = 80%
[tex]z^{*}[/tex] at 80% confidence level = 1.28
Upper confidence interval = 33.135
Lower confidence interval = 30.865
Population mean lies between [30.856, 33.135] at 80% confidence level.
Given confidence level = 90%
[tex]z^{*}[/tex] at 90% confidence level = 1.65
Upper confidence interval =33.456
Lower confidence interval = 30.543
Population mean lies between [30.543, 33.456] at 90% confidence level.
Given confidence level = 98%
[tex]z^{*}[/tex] at 98% confidence level = 1.65
Upper confidence interval = 34.06
Lower confidence interval = 29.94
Population mean lies between [29.94, 34.06] at 98% confidence level.
Learn more about confidence interval here
https://brainly.com/question/24131141
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The dot plots show the number of hours a lightbulb lasts from two different brands. Brand A. Number of hours per lightbulb 1000 4200 1400 1500 1800 2000 Brand B Number of hours per lightbulb .. 1200 1400 1600 1800 2000 Which of the following statements is correct? A. There were more lightbulbs in the dot plot for brand B than in the dot plot for brand A. B. The mean for brand A is the same as the mean for brand B. C. The mean for brand A is higher than the mean for brand B. D. The mean for brand B is higher than the mean for brand A.
Answer:
Step-by-step explanation:
The mean for brand A is higher than the mean for brand B
The mean for brand A is higher than the mean for brand B because the mean for A is 1983.33 and the mean for B is 1600 statement (C) is correct.
What is mean?It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.
We have:
For brand A:
The number of hours per lightbulb:
1000, 4200, 1400, 1500, 1800, 2000
Mean for brand A:
[tex]\rm Mean(A) = \frac{Sum \ of \ all \ data \ values}{Number \ of \ data \ in \ the\ set}[/tex]
[tex]\rm Mean(A)= \frac{1000+4200+1400+1500+1800+ 2000}{6}[/tex]
[tex]\rm Mean(A)= \frac{11900}{6}\\\\\rm Mean(A) = 1983.33[/tex]
For Brand B:
The number of hours per lightbulb:
1200, 1400, 1600, 1800, 2000
Mean for brand B:
[tex]\rm Mean(B) = \frac{Sum \ of \ all \ data \ values}{Number \ of \ data \ in \ the\ set}[/tex]
[tex]\rm Mean(B)= \frac{1200 +1400 +1600 +1800 +2000}{6}[/tex]
[tex]\rm Mean(B)= \frac{8000}{5}\\\\\rm Mean(B) = 1600[/tex]
We can see that:
Mean(A) > Mean(B)
Thus, the mean for brand A is higher than the mean for brand B because the mean for A is 1983.33 and the mean for B is 1600 statement (C) is correct.
Learn more about the mean here:
https://brainly.com/question/22871228
what music shuld i listin to
Answer:
conan gray
Step-by-step explanation:
Answer:
Daisy- Ashnniko & Mr. Perfectly Fine- Taylor Swift
Step-by-step explanation:
Find angle x to the nearest tenth.
47
73
78
A) 36.1
B) 66.2
C) 26.3
D) 31.6
Find the values of x and y. Write your answers in simplest form.
Answer:
x = 5√2
y = 15
Step-by-step explanation:
By applying sine rule in the given right triangle,
sin(60°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{\sqrt{3} }{2}=\frac{y}{10\sqrt{2}}[/tex]
y = [tex]\frac{\sqrt{3} \times 10\sqrt{2} }{2}[/tex]
y = 15
Similarly, by applying cosine rule in the given triangle,
cos(60°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{1}{2}=\frac{x}{10\sqrt{2}}[/tex]
x = 5√2
Find the value of x and the measure of the missing angle
Answer:
the missing angle=85
x=95
Step-by-step explanation:
180-95=85
Mr. Bruce has some clay with a mass of 24 kilograms. If he puts the same amount of clay into 6 bags, how many grams of clay are in each bag? I NEED THE EXPLANATION
Answer:
4000grams in each bag
Step-by-step explanation:
Assume he put x amount of clay into each bag, he then put 6x into 6 bags.(since the question didn’t mention, I assume he put every clay he has into the bags)
6x=24kg
x=4kg
Since the question is asking for grams not kilograms:
4kg=4000g
Which line is perpendicular to 5y + 2x = 10?
2x + 5y = 10
10x - 4y = 8
y + 5x = -2
y = - 2x + 10
Choose the correct answer below.
O A. y = - 2x + 10
OB. 10x - 4y = 8
O C. y + 5x = -2
OD. 2x + 5y = 10
Using the matrix at the right that reprexents rectangle ABCD, list the coordinates of C:
Answer:
8, -5
Step-by-step explanation:
Make a circle graph for each set of data.
Top 5 Countries With the Most Post Offices as of 2001
India
144,396
Russia
93,076
China
50,969
United States
39,270
Turkey
28,086
Source: Scholastic Kid’s Almanac
a.
A circle graph. India is about 40 percent; Russia, 30 percent; China, 15 percent; U S, 10 percent; Turkey, 8 percent.
c.
A circle graph. India is about 40 percent; Russia, 15 percent; China, 30 percent; U S, 5 percent; Turkey, 8 percent.
b.
A circle graph. India is about 50 percent; Russia, 15 percent; China, 15 percent; U S, 10 percent; Turkey, 5 percent.
d.
A circle graph. India is about 35 percent; Russia, 30 percent; China, 15 percent; U S, 10 percent; Turkey, 8 percent.
Please select the best answer from the choices provided
A
B
C
D
Answer:
A
Step-by-step explanation:
edge 2021
The correct option is A circle graph. India is about 40 percent; Russia, 30 percent; China, 15 percent; U S, 10 percent; Turkey, 8 percent.
We have given that,
Make a circle graph for each set of data.
Top 5 Countries With the Most Post Offices as of 2001
India 144,396
Russia 93,076
China 50,969
United States 39,270
Turkey 28,086
Source: Scholastic Kid’s Almanac
What is the circle graph?
A circle graph is the intersection graph of a set of chords of a circle. It is an undirected graph whose vertices can be associated.
The correct option is A circle graph. India is about 40 percent; Russia, 30 percent; China, 15 percent; U S, 10 percent; Turkey, 8 percent.
To learn more about the circle graph visit:
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what is the surface area of this rectangular prism with areas of a width of 8 m , 9 m, 6 m ?
Answer:
340 m²
Step-by-step explanation:
Just multiply each edge of the rectangular prism until you find the surface area of each side then add them together
Find the missing angle
Answer:
Answer:[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{➔}\ [/tex]
80°+20°+missing angle=180°[ sum of interior angle of a triangle is 180°]
missing angle=180°+100=80°
is your answer
THIS IS 7TH GRADE MATH SO ITS EASY
Answer:
b
Step-by-step explanation:
How much wire is needed to fence a rectangular garden with measurements 20mmx25m
Answer:
500000mm
Step-by-step explanation:
First to have to convert the meters into millimeters (25mm×1000mm=25000mm) than you have to times the answer by 20 (25000mm×20mm=500000mm) and your answer is 500000mm