The system of the equations that has a solution of (-2, 0, 1) will be x + y + z = -1, x + y + 2z = 0, and x + 2y + 3z = 1.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
The system of the equations that has a solution of (-2, 0, 1) will be
Let the number of variables be x, y, and z.
Then we have
Then the first equation will be
x + y + z = -1
Then the second equation will be
x + y + 2z = 0
Then the third equation will be
x + 2y + 3z = 1
More about the linear system link is given below.
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8x^2+1/9
the expression represents a....
quartic
cubic
quartic
linear
quadratic
Answer:
A. Quartic
Step-by-step explanation:
I went to desmos graphing,
8x^2+1/9 (plug it in and looked at the line)
It shows a parabola,
y-intercept: (0,0.111)
"Cubic functions. Three points not in a line determine a parabola, a polynomial function of degree 2. Polynomials of degree 2 are quadratic functions. Their graphs are parabolas."
Therefore, this is a quadratic ( quartic) since the degree in this parabola is 2.
Steve manages a skate park and he has been analyzing the attendance data. Steve finds that the number of visitors increases exponentially as the temperature increases, and this situation is represented by the function f(x) = 5x. Steve also finds a linear equation that models the number of people who leave the park early depending on the change in temperature, and it is represented by g(x) = −x + 6. The graph of the two functions is below. Find the solution to the two functions and explain what the solution represents.
Answer:
(1, 5)Step-by-step explanation:
Both of the graphs include infinite number of points.
The solution is the common point that belongs to both of the graphs, their intersection, which is the point (1, 5)
This is the point when the temperature change is positive 1 degree. At this point number of visitors is equal to number of those leaving the part early (5 visitors).
Answer:
(1,5)
Step-by-step explanation:
The graphs intersect at (1,5). At this point, the temperature change is 1 degree and the number of visitors is equal to those leaving early, which is 5 visitors.
PLS ANSWER FAST WILL GIVE BRANLIEST
Answer:
m<RTS=63
m<PTQ=27
Step-by-step explanation:
8x-17=5x+13
x=10
5(10)+13=63
8(10)-17=63
<RTQ=<UTQ
90-63=27
find the size of each sample needed to estimate the difference between the proportions of boys and girls under 10 years old who are afraid of spiders. Assume that we want a 95% confidence level and that the error is smaller than 0.03.
Answer:
sample
Step-by-step explanation:
I need help in this algebra problem plz
Answer:
X+2
Step-by-step explanation:
Someone please help me answer this!1
Answer:
16 km is the answer
Step-by-step explanation:
a (Colton to parents' house) = 12 km
b = ?
c (parents' house to grandparents' house) = 20 km
According to the Pythagoras theorem,
a² + b² = c²
12² + b² = 20²
144 + b² = 400
b² = 400 - 144
b² = 256
b = 16
∴ Colton is 16 km away from his grandparents' house.
If a sample proportion is 0.55, which of the following could be a 90% confidence interval for the population proportion? Select all that apply.
(a) Lower bound: 0.50; Upper bound: 0.60 (b) Lower bound: 0.53; Upper bound: 0.59 (c) Lower bound: 0.52; Upper bound: 0.58 (d) Lower bound: 0.60; Upper bound: 0.70 (e) Lower bound: 0.45; Upper bound: 0.60
Answer:
The correct options are a and c.
Step-by-step explanation:
Confidence interval:
A confidence interval is given by the sample proportion plus/minus the margin of error. This means that the confidence interval is symmetric, that is, the difference between the upper bound and the sample proportion has to be the same as the difference between the sample proportion and the lower bound.
Sample proportion is 0.55
So options for the confidence interval are:
Lower bound - upper bound
0.54 - 0.56
0.53 - 0.57(which means that option b is wrong)
0.52 - 0.58(which means that option c is right)
...
0.5 - 0.6(which means that option a is right).
The correct options are a and c.
The confidence interval is the range of value between which the true population proportion would lie given a certain margin of error. Hence the correct options are A and C
Hence, the upper and lower boundary would the same error value above and below the mean proportion.
Evaluating the options given :
Error below = 0.50 - 0.55 = -0.05
Error above = 0.60 - 0.55 = 0.05
Error below = 0.53 - 0.55 = -0.02
Error above = 0.59 - 0.55 = 0.04
Error below = 0.52 - 0.55 = -0.03
Error above = 0.58 - 0.55 = 0.03
Error below = 0.60 - 0.55 = 0.05
Error above = 0.70 - 0.55 = 0.15
Error below = 0.45 - 0.55 = -0.10
Error above = 0.60 - 0.55 = 0.05
Therefore, the only options with equal margin of error, above and below the mean are options A and C.
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a play station costs $500, but you want to only pay $450. How much discount in percents do you want?
Answer:
You only want a 10% discount...
500 - 450 = 50
50/500 = 1/10 = .1 = 10%
Answer:
10%
Step-by-step explanation:
450 of 500 is 90%
so you would ask for a 10% discount.
Two less than five times a number is equal to 10 more than seven times the number. What is the number?
Answer:
x = -6; the number is -6!
Step-by-step explanation:
This is a somewhat wordy question, but it is actually easy to solve once you write it down!
It should look like this:
[tex]5x-2=7x+10[/tex]
See? It's simple! Now we just solve from there.
[tex]5x-2=7x+10\\-2x-2=10\\-2x=12\\x=-6[/tex]
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The two triangles below are similar. What is the ratio of the corresponding sde lengths? A. 4:9 B. 4:2 C. 26:26 D. 4.5:2
Answer:
Step-by-step explanation:
It is 4:9 and 4.5:2
A parasail is at a height of 441 feet (or 0.083 miles) above sea level. The earth's radius is 3959 miles find the distance to the horizon to the parasail.
If you answer this can you please explain how to do it? I'm confused and just want to learn, but I don't understand how to solve it!
Answer:
The distance to horizon is 25.64 miles for the parasail.
Step-by-step explanation:
The distance to horizon for a given height is given as
[tex]d=\sqrt{2hR}[/tex]
Here
d is the distance to horizonh is the height of the observer which is given here as 0.083 milesR is the radius of Earth which is given as 3959 milesSo the distance becomes
[tex]d=\sqrt{2hR}\\d=\sqrt{2\times 0.083\times 3959}\\d=\sqrt{657.194}\\d=25.6357 \text{ miles}\\d=25.64\text{ miles}[/tex]
So the distance to horizon is 25.64 miles for the parasail.
On Monday a local hamburger shop sold a combined total of 390 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Monday?
Answer:
Hamburgers + Cheeseburgers= 390
Hamburgers= x
Cheeseburgers= 2x
2x+x= 390
3x=390
x=130
Hamburgers sold= 130
PLS HELP FOR 78 POINTS AND PLS NO POINTLESS LINKS
Answer:
1. 12.9
2. 14
Step-by-step explanation:
11, 18, 7, 14, 5, 16, 14. 18
Added Together it is 103.
Divided by 8, it is around 12.9
5, 7, 11, 14, 14, 16, 18, 18
Answer:
12.9 and 14Step-by-step explanation:
Given data:
11, 18, 7, 14, 5, 16, 14, 18Mean is the average:
(11 + 18 + 7 + 14 + 5 + 16 + 14 + 18)/ 8 = 12.875 ≈ 12.9Put the data in the ascending order, the median is the average of the two middle numbers when number of data is even:
5, 7, 11, 14, 14, 16, 18, 18Median is 14 as both middle numbers are samefind the value of x and is it congruent or not
Answer:
x would be 10.
It is congruent since two sides are given to be congruent. This can be proven with the SSS Congruence Postulate.
Could someone help me
Answer: I think it is T,F,T,T hope this helped
plz make brainly
Step-by-step explanation:
Evaluate the following multiplication expression: -2(11)
Answer:
the answer is negative 22
Step-by-step explanation:
-2 x 11 = -22
a picture frame is 4 inches taller than it is wide and has an area of 192 square inches. What are the dimensions of the picture frame? using the quadratic method
thank you :)
Answer: width is 12, length is 16
Step-by-step explanation:
A= l*w
l=w+4
A=w(w+4)
[tex]A=192\\192=w^{2} +4w\\0=w^{2} +4w-192[/tex]
factor
(w+16)(w-12)
w= -16 or w=12
width is 12, length is 16
Anyone know wat 792 divided by 5 is?
Answer:
158.4 i think
Step-by-step explanation:
This recipe makes 2 portions of fajitas.
Carly has 500 g of chicken, 500 g of peppers, 85 g of onion, 35 g of spice mix and 10 tortillas.
How much more of each ingredient will she need to make 6 portions by following this recipe?
Recipe: Serves 2
200 g chicken
250 g peppers
30 g onion
10 g spice mix
4 tortillas
Answer:
200G
Step-by-step explanation:
the y coordinate is 7 more than the x coordinate
Answer:
if you have the value of x then y =x +7
What is the value of x and y?
Answer:
Step-by-step explanation:
[tex]\frac{x}{42}=tan 30=\frac{1}{\sqrt{3} }\\x=\frac{42}{\sqrt{3} } \times \frac{\sqrt{3}}{\sqrt{3}} =14\sqrt{3} \\\frac{42}{y} =\cos ~30=\frac{\sqrt{3}}{2} \\y=\frac{84}{\sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}} =\frac{84 \sqrt{3}}{3} =28 {\sqrt{3}}[/tex]
I need to finish this but im confused :(
Answer:
basically, with each value of x, you replace it by x on the equation
Step-by-step explanation:
y=1/3(12)
y=4
--------
y=1/3(3)
y=1
--------
y=1/3(18)
y=6
-------
hope this helped!
Solve for x.
7x - = 6x -
O x = 1/4
Ox=1
Ox= -1
O x = -1/4
Will give brainly
Answer:
D. - 1/4
Step-by-step explanation:
Answer:
-1/4
Step-by-step explanation:
0.375=3/8 0.625=5/8
7x-0.375=6x-0.625
1x=-0.25
-0.25=-1/4
(NO LINKS) A space shuttle travels at 2.6 x 10,000 feet per second. An hour is 3.6 x 1,000 seconds. This expression can be used to find the number of feet the space shuttle travels in an hour. How many feet does the shuttle travel in an hour?
Answer:
1) 7.22 ft in a hr & 2) Choice C. y = 0.50x + 2
Step-by-step explanation:
1) Space shuttle
2.6 x 10,000 = 26,000ft
3.6 x 1,000 = 3,600 seconds = 1 hr
26,000/3,600 = 7.22 ft in a hr
2) Taxi company
y = 0.50x + 2
Which table contains only values that satisfy
the equation y = 1.5x + 4
A
B
х
у
y
0
4
10
4
2
17
2
55
4
10
4
17
6
13
6
8.5
C
D
х
у
х
у
0
0
0
0
2
17
2.
4
10
4
5.5
Need H
16
13
0
Answer:
Table A
[tex]y = 1.5x + 4 \\ table \: A \: satisfies \: the \: equation[/tex]
What is C= 5/9 F−32)
Btw / (like in 5/9) is a way I use fractions c:
Answer:
f = 9c 5 + 288/5
Step-by-step explanation:
What is m∠G to the nearest tenth? A right angle triangle EFG. The length of EF is 28.2 and GF is 45.8. Angle GFE is given as 90 degrees.
Answer:
31.6°
Step-by-step explanation:
The triangle given us a right angled Triangle
We solve the above question using the trigonometric function of Tangent
The formula is given as:
tan θ = opp/adj
θ = m∠G = ?
Opposite = EF is 28.2
Adjacent = GF is 45.8
tan θ = 28.2/45.8
θ = arc tan (28.2/45.8)
θ = 31.621459805°
Approximately
m∠G = 31.6°
what is the domain of the function given below f(x)= log(x+5)-2
Answer:
Domain:
(
5
,
∞
)
,
{
x
|
x
>
5
}
Range:
(
−
∞
,
∞
)
,
{
y
|
y
∈
R
}
Step-by-step explanation:
The volume of a sphere is 5000x m . What is the surface area of the sphere to the nearest
square meter?
Answer:
Step-by-step explanation:600
The number 31.5 is 37.5% of what number?
A. 69
B. 84
C. 315
D. 375
Answer: B
Step-by-step explanation: