Solve with substitution please?
x-4y=11, 2y-x=-7

Answers

Answer 1

Answer: to sub
solve for 1 variable
pick an eas one that isn't tangles up wht frathctions or such
x in second equiaton

2y-x=-7
-x=-7-2y
x=7+2y

sub 7+2y for x
(7+2y)-4y=11
7+2y-4y=11
7-2y=11
minus 7
-2y=4
divide -2
y=-2

sub
x=7+2y
x=7+2(-2)
x=7+-4
x=3

(x,y)
(3,-2)

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Determine whether the origin is included in the shaded region and whether the shaded region is above or below the line for the graph of the following inequality:y > 1/2x + 2 a)The origin is not included in the shaded region, and the shaded area is above the line. b)The origin is not included in the shaded region, and the shaded area is below the line. c)The origin is included in the shaded region, and the shaded area is above the line. d)The origin is included in the shaded region, and the shaded area is below the line.
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a model rocket is launched into the air from ground level. the height, in feet, in feet, is modeled by p(x)=16x^2+32x, where x is the number of elapsed seconds. what is the total number of seconds the model rocket will be in the air?

Answers

Since you are given the function for the height of a rocket, we are to look for the value of X that gives us a value of p(x) = 0, which means that the model rocket has landed back onto the ground. One easy way to do this is by table method, meaning we substitute values of x to see if we can obtain the needed value of P(x). We should start from 1, since using 0 as our first value means that the rocket has not even launched up yet. Let us do this below:

x | p(x) = -16x^2+32x
--------------------------
1 | p(1) = -16(1)^2 + 32(1) = 16
2 | p(2) = -16(2)^2 + 32(2) = 0

Having obtained the desired result at x = 2, this means that the model rocket has been in the air for 2 seconds.

Final answer:

The model rocket is in the air for 0 seconds according to the given equation, which implies an immediate impact upon launch.

Explanation:

In this mathematical scenario, the model rocket's height p(x) over time x (elapsed seconds) is given by the quadratic equation p(x) = 16x^2 + 32x. The total amount of time the rocket is in the air will be the point when the rocket returns to ground level. This occurs when p(x) = 0, which represents the rocket's height being zero feet above the ground.

We can find out when this occurs by solving the quadratic equation for x. We can rearrange the quadratic equation to 16x^2 + 32x = 0. Factoring out 16x gives us 16x(x + 2) = 0. Solving for x will give two potential solutions: x = 0 (the initial launch point) and x = -2. However, since time cannot be negative in this context, we discard the -2 and our answer is x=0 s, the total time the model rocket will be in the air after being launched is 0 seconds.

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Concert R charges an admission fee of $10.00 and $6.25 per souvenir brochure. Concert S charges an admission fee of $13.00 and $5.75 per souvenir brochure. How many souvenir brochures must be purchased in order for the total cost at Concert R and Concert S to be the same?

A) 6 souvenir brochure
B) 10 souvenir brochure
C) 12 souvenir brochure s
D) 18 souvenir brochure

Answers

6 souvenir brochures must be purchased in order Which is the correct answer would be an option (A)

What is the Linear equation?

A linear equation is defined as an equation in which the highest power of the variable is always one.

The slope-intercept form is y = mx+c, where the slope is m and the y-intercept is c.

For the functions, we have that:

The set-up fee is the admission fee.

The price per souvenir brochure is the slope.

Hence the functions are given by:

R(x) = 10 + 6.25x

S(x) = 13 + 5.75x

We have been given the total cost at Concert R and Concert S to be the same.

So R(x) = S(x).

⇒ 10 + 6.25x = 13 + 5.75x

⇒ 0.5x = 3

⇒ x = 3/0.5

⇒ x = 6.

Therefore, 6 souvenir brochures must be purchased in order for the total cost at Concert R and Concert S to be the same.

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Answer:

6 souvenir brochure

Step-by-step explanation:

K12 <3

Identify the independent variable in this relationship. A person burns a total of c calories by walking m miles. calories, c
miles, m
neither c, calories or m, miles
both c, calories and m, miles

Answers

The independent variable is M, Miles.
This is because you can walk however miles without any effect. But calories depends on how much you walked. Make sense?

Which two numbers add up to 7 and multiply to 6

Answers

1 and 6 add up to 7 and multiply to 6. You know this because to answer this, a person must consider all the factors of 6. Those factors are 1,2,3,and 6. Now, you must consider which pairs (1 and 7; 2 and 3) add up to 7. 2 and 3 add up to 5 and 1 and 6 add up to seven. That would show you that 1 and 6 are your answers.

Hey, Ubergamer!
2 numbers that add up to 7 and multiply up to 6 are 6 and 1.
6+1=7
6*1=6
I hope this helps;)

A normal distribution has a mean of 0.40 and standard deviation of 0.028. What percentage of observations will lie between 0.372 and 0.428?

Answers

Solution:
To evaluate for P(0.372<x<0.428) we shall proceed as follows:
z-score is given by:
z=(x-μ)/σ
thus when x=0.372:
z=(0.372-0.4)/0.028
z=-1
thus
P(x<0.372)=P(z<-1)=0.1587

when x=0.428
z=(0.428-0.4)/(0.028)=1
P(x<0.428)=P(z<1)=0.8413
thus
P(0.372<x<0.428) =P(z<1)-P(z<-1)=0.8413-0.1587=0.6826

Final answer:

To find the percentage of observations between two values in a normal distribution, we can convert the values to z-scores and use a z-table to find the corresponding areas. In this case, the percentage of observations between 0.372 and 0.428 is 68.26%.

Explanation:

To find the percentage of observations that will lie between 0.372 and 0.428 in a normal distribution with a mean of 0.40 and standard deviation of 0.028, we need to find the area under the curve between these two values.

Using a standard normal distribution table or z-table, we can convert the values to z-scores by subtracting the mean and dividing by the standard deviation. The z-score for 0.372 is (0.372 - 0.40) / 0.028 = -1, and the z-score for 0.428 is (0.428 - 0.40) / 0.028 = 1.

By looking up the corresponding area for these z-scores in the z-table, we find that the area to the left of -1 is 0.1587 and the area to the left of 1 is 0.8413. To find the percentage between -1 and 1, we subtract the smaller area from the larger area: 0.8413 - 0.1587 = 0.6826 or 68.26%.

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What is the average of four tenths and five thousandths?

Answers

four tenths is expressed as .4
five thousandths is expressed as .005
the sum of these is .405 and divided by 2 (there are two numbers we added), we get .2025, that is the average