Is (3,6) a solution of the system of linear equations below? Justify your response. Use of the graph is optional.
-6x + y= -12
X + y= -3
Answer:
No.
Step-by-step explanation:
The given system of equations are :
-6x + y= -12 ......(1)
x + y= -3 ......(2)
Put x = 3 and y = 6 in both equations i.e.
-6(3) + (6) = -12
And
3 + 6 = 9 ≠ -3
Hence, (3,6) is not the solution of the given system of equations.
Please someone help me on this one !! I need to pass this class!
9514 1404 393
Answer:
x ≈ -0.5416
Step-by-step explanation:
As with any "solve for ..." problem, you essentially want to "undo" what has been done to the variable of interest. Here, if you were to evaluate the left-side expression (where the variable is) for some value of x, you would ...
multiply by 10add 7raise 9 to that powermultiply by 2add 5You want to "undo" these operations in reverse order. That is, you work from the bottom of this list toward the top, using inverse operations along the way.
The inverse of addition is subtraction; the inverse of multiplication is division. The inverse of raising to a power is taking a logarithm.
undo add 5
[tex]2\cdot9^{10x+7}+5-5=70-5\\2\cdot9^{10x+7}=65[/tex]
undo multiply by 2
[tex]\cfrac{2\cdot9^{10x+7}}{2}=\dfrac{65}{2}\\\\9^{10x+7}=32.5[/tex]
undo raise to a power (take logarithms)
[tex](10x+7)\log(9)=\log(32.5)\\\\10x+7=\dfrac{\log(32.5)}{\log(9)}\quad\text{equivalent to $\log_9(32.5)$}[/tex]
undo add 7
[tex]10x+7-7=\dfrac{\log(32.5)}{\log(9)}-7\\\\10x\approx -5.41562[/tex]
undo multiply by 10
[tex]\dfrac{10x}{10}\approx\dfrac{-5.41562}{10}\\\\x\approx-0.541562\\\\\boxed{x\approx-0.5416}\quad\text{rounded to 4 dp}[/tex]
Answer:
x=0.5416...................
The budget for a school dance is $370.00. Decorations and refreshments cost $165.00. The band charges a fee of $100.00 plus an additional $35.00 per hours. What is the maximum number of hours the school can have the band play at the dance?
Answer:
3 Hours
Step-by-step explanation:
$370 - 165 for Decorations
$205 - 100 for the band
They now have $105 left
$105 % $35 to see how many hours they can play.
3 Hours
HELP BRAINLY, I NEED HELP WITH THESE QUESTIONS!
(05.05 LC)
A right rectangular prism is shown.
What shape best describes the cross-section cut at an angle to the base of a right rectangular prism? (1 point)
Trapezoid
Parallelogram
Square
Rectangle
10.
(05.05 MC)
Find the area of a triangle with a base length of 3 units and a height of 4 units. (1 point)
3 square units
6 square units
7 square units
8 square units
11.
(05.05 MC)
Erin covered a box with contact paper. The dimensions of the box are shown in the figure below:
A rectangular prism is shown. The length of the rectangular prism is labeled as 11 inches, the height is labeled as 9 inches and the width is labeled as 8 inches.
The contact paper costs 8¢ per square inch. She will only pay for the contact paper used to cover the box, even if there is waste or extra. How much money did Erin spend on the contact paper? (1 point)
$20.72
$41.44
$48.12
$73.14
Answer:
For the first one its parallelogram
math help with math please help
Answer:
X=6
Explain your Explanation:
Answer:
x=6
Step-by-step explanation:
please help i have an f in my class and will get in big trouble! help me you have to write the line in slop intercept form please
A tap fills an eighty litre tank in 5 minutes. What is the rate of flow of water with respect to
time, in litres per second?
Answer:
0.27 lt/s
Step-by-step explanation:
80 liters in 5 minutes
5 minutes are 300 seconds (5x60)
We know how many seconds we need to fill up the tank (300 seconds for 80 liters). Now we need to know how many liters we can fill up in 1 second, as the question requires "liters per second".
80 lt / 300 sec
X lt / 1 sec
80 x 1
---------- = X
300
X = 0.2666666...
X = 0.27 lt / s
(11+x)/2-(9x-3)/4 x=3
Answer:
(11+X)/2-(9x-3)/4 x=3
subsititute 3 into all x
(11+3)/2-(9*3)-3)/4
first solve the first diviision
2-(9 times 3)-3/4
=2-(27-3)/4
=2-(24)/4
since the "2-" is there, you have to subtract it from 24 before you dividewhich would then be
22/4=5.5(in decimal form)
DON'T forget you have another bracket waiting for you since you were given 3 brackets. bring the first bracket down
2-(9x-3)/4 was solved and we got 5.5, so basically we are "substituting 5.5 into that part of the question)
11+x/5.5
11+3/5.5
14/5.5
=2.54 which is your final answer
Sorry if I went overboard lol.
Step-by-step explanation:
yes, the answer is 2.54 I believe.
Which is the equation of the line that passes through the points (4, 3) and (6, 2)?
Answer:
answer is c hope this helps
Step-by-step explanation:
Can someone help please, please no dirty links you will be reported.
Answer:
3.25
nskkdbskaxmxbshlmsg
plz no spam
One rectangular solid with a square base has twice the height of another rectangular solid with a square base with the same side length. Which statements about the two rectangular solids are true? Check all that apply.
The bases are congruent.
The solids are similar.
The ratio of the volumes of the first solid to the second solid is 8:1.
The volume of the first solid is twice as much as the volume of the second solid.
If the dimensions of the second solid are x by x by h, the first solid has 4xh more surface area than the second solid.
Answer:
im sorry i need my points back
Step-by-step explanation:
A rectangular chalkboard is 1.7 m long and 0.9 m wide.
What is the area of the chalkboard?
O A. 1.53 m2
B. 1.63 m2
OC. 2.6 m2
0
D. 5.2 m2
Help!
Answer:
[tex]A=1.53\ m^2[/tex]
Step-by-step explanation:
The length of a chalkboard, l = 1.7
The width of a chalkboard, b = 0.9 m
We need to find the area of the chalkboard. The formula for the area of a rectangle is given by :
[tex]A=L\times B\\\\A=1.7\times 0.9\\\\A=1.53\ m^2[/tex]
So, the area of the chalkboard is equal to [tex]1.53\ m^2[/tex].
-4--7=n cual es el valor de n
A right triangle has the following measures. a = 3 and b = 4. what is the length of side c?
5
5.5
6
Answer:
5
Step-by-step explanation:
This is Pythagorean triple 3-4-5 or you can verify by plugging into Pythagorean Theorem:
[tex]3^2 + 4^2 = c^2[/tex]
c = 5
Paula ran 24 ft with the football and then passed it 15 feet to Newt. Newt ran 70 yards for a touchdown. What was the total number of feet the ball traveled?
Please tell me how you did it and give me the problem on how u did it
Answer:
249 ft
Step-by-step explanation:
70yd=210 ft so 210+15+24=249
Answer:
249 ft
Step-by-step explanation:
24 + 15 = 39
39/3 = 13
13 + 70 = 83
83 * 3 = 249
Find the length of the side and perimeter of the square whose area is given
(a) 49 sq.m
Answer:
Length 7metres
Perimeter 28 metres
Step-by-step explanation:
Area of a square is L²
To get the length of one side is thus√L²
√49=7 metres
Perimeter will be length by 4
7×4=28 metres
The graph of f (2) is shown as a dashed curve.
10
8
1
6
1
1
4
1
1
2
0
2
4
-6
-8
-10
-10
8
6
2
0
2
8
10
Answer:
???
Step-by-step explanation:
Javina is at the store buying cheese. The cost of the cheese
is $0.44 per ounce. She buys 10 ounces of the cheese.
How much money does Javina spend on the cheese?
$9.00
B
$4.50
C $4.40
$8.80
Answer: $4.40
Step-by-step explanation:
10 times 0.44 equals 4.40
Answer:
Step-by-step explanation:
c 10 times 0.44= 4.40
Please help
fffffffffffffffffffffffffff
Answer:
Left side: 1/20 Right side: 11/20
:)
in the basketball game rachael scored 6 points less than twice the number of points Trina scored. Trina scored 9 points how many points did rachael score
Please help ASAP the question is in the picture and please explain why and how u got the answer
Answer:
12
Step-by-step explanation:
Since the entire line is 60 and MN is five times as long. Then I would say that you could just divide 60 by 1/5 or 0.2
since the length of the line is 60 you gots to fos and divide it my homie.
60/5=12 so thats means the length is 12
you got that my guy
(sorry if ur a girl)
What 3 number combination will open the lock ?? Imagine a lock has a 3 digit combination use the clues below to figure out the correct combination to open the lock .
682- One digit is right and in the correct place .
614- One digit is right but in the wrong place
206- Two digits are right but both in the wrong place.
738-All digits are wrong
380- One digit is right but in the wrong place
please write it in your own words
please please please help me I promise I gave you Brainlist
Answer:
062
Step-by-step explanation:
2 is right and in the correct place
2 & 6 are right but in the wrong place
0 is right but I the wrong place
Please help ASAP the question is in the picture and please explain why and how u got the answer
Acellus
25°
У
X 120°
y=[ ?
Answer:
25. Rigorous Yet Adaptive – Making the College Dream a Reality . ... 120. What is the Acellus Courseware Development System? ... Acellus turns the learning process into a science, and by so doing, improves the overall effectiveness of the ...
Missing: У y
Step-by-step explanation:
Hope it helps
Answer , 95!!
Step-by-step explanation:
7.25. Horizontal Sight Distance - Around the shed. Just north of town, traffic on 2-lane North 9th enters a righthand curve. Filleen feet to the right of the pavement edge stands a large storage shed. A concerned neighbor is able to pace off the length of the tangent as 196 feet and estimate A as 45 degrees. The lanes are 12 feet wide. A. Using the neighbor's estimates, what is the radius of the horizontal curve
Find the measure of <2
Answer:
96
Step-by-step explanation:
Hello There!
The following figure shown is a parallelogram
If you didn't know opposite interior angles of a parallelogram are congruent
Therefore the angle that has a measure of 96 degrees and the angle labeled 2 are congruent
hence ∠2=96
In ΔGHI, h = 990 inches, g = 910 inches and ∠G=53°. Find all possible values of ∠H, to the nearest degree.
= 60 and 120
The answer for that is = 827
Find the slope of the line passing through the points (6, 7) and (6, -5).
Answer:
undefined
It is undefined because if you put it on a graph you get a line going straight down.
On September 1, 2012, Ramos Inc. approved a plan to dispose of a segment of its
business. Ramos expected that the sale would occur on March 31, 2013, at an
estimated gain of $375,500. The segment had actual and estimated operating profits
(losses as follows):
Please prepare answers to the following questions. Assume a marginal tax rate of 35%
● Realized loss from 1/1/12 to 8/31/12 …….... $ 200,000
● Realized loss from 9/1/12 to 12/31/12 ……...$ 135,000
● Expected profit from 1/1/13 to 3/31/13. ….... $ 475,000
Calculate the amount of income that should be shown on the 2013 income statement
as a result of the operating profit and the gain on disposal (net of tax).
The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took the customers in the sample to check out was 3.1 minutes. The population standard deviation is known at 0.5 minutes. We want to test to determine whether or not the mean waiting time of all customers is significantly different than 3 minutes. Use a = 0.05. The test statistic is a 1.96 b. 1.64 c. 2.00 d. 0.056 The p-value is a. 0.0456 b. 0.0482 c. 0.4772 d. 0.9759 e. 0.9772 At the 5% level, you a. fail to reject the null hypothesis b. reject the null hypothesis
Answer:
The test statistic is c. 2.00
The p-value is a. 0.0456
At the 5% level, you b. reject the null hypothesis
Step-by-step explanation:
We want to test to determine whether or not the mean waiting time of all customers is significantly different than 3 minutes.
This means that the mean and the alternate hypothesis are:
Null: [tex]H_{0} = 3[/tex]
Alternate: [tex]H_{a} = 3[/tex]
The test-statistic is given by:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
Sample of 100 customers.
This means that [tex]n = 100[/tex]
3 tested at the null hypothesis
This means that [tex]\mu = 3[/tex]
The average length of time it took the customers in the sample to check out was 3.1 minutes.
This means that [tex]X = 3.1[/tex]
The population standard deviation is known at 0.5 minutes.
This means that [tex]\sigma = 0.5[/tex]
Value of the test-statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{3.1 - 3}{\frac{0.5}{\sqrt{100}}}[/tex]
[tex]z = 2[/tex]
The test statistic is z = 2.
The p-value is
Mean different than 3, so the pvalue is 2 multiplied by 1 subtracted by the pvalue of Z when z = 2.
z = 2 has a pvalue of 0.9772
2*(1 - 0.9772) = 2*0.0228 = 0.0456
At the 5% level
0.0456 < 0.05, which means that the null hypothesis is rejected.