I need help in learning how to solve this equation using substitution:

-x -y -z = -8
-4x + 4y + 5z = 7
2x + 2z = 4

Answer:

2.3

Step-by-step explanation:

In this case we are going to use the 'Babylonian Method' to get the square root of any positive number.

We must set an error for the final result. Say, smaller than 0.01. In other words we will try to find the square root value with at least 1 correct decimal places.

Step 1:

Divide the number (5.29) by 2 to get the first guess for the square root .

First guess = 5.29/2 = 2.645.

Step 2:

Divide 5.29 by the previous result. d = 5.29/2.645 = 2.

Average this value (d) with that of step 1: (2 + 2.645)/2 = 2.3225 (new guess).

Error = new guess - previous value = 2.645 - 2.3225 = 0.3225.

0.3225 > 0.01. As error > accuracy, we repeat this step again.

Step 3:

Divide 5.29 by the previous result. d = 5.29/2.3225 = 2.2777179763.

Average this value (d) with that of step 2: (2.2777179763 + 2.3225)/2 = 2.3001089882 (new guess).

Error = new guess - previous value = 2.3225 - 2.3001089882 = 0.0223910118.

0.0223910118 > 0.01. As error > accuracy, we repeat this step again.

Step 4:

Divide 5.29 by the previous result. d = 5.29/2.3001089882 = 2.299891017.

Average this value (d) with that of step 3: (2.299891017 + 2.3001089882)/2 = 2.3000000026 (new guess).

Error = new guess - previous value = 2.3001089882 - 2.3000000026 = 0.0001089856.

0.0001089856 <= 0.01. As error <= accuracy, we stop the iterations and use 2.3000000026 as the square root.

So, we can say that the square root of 5.29 is 2.3 with an error smaller than 0.01 (in fact the error is 0.0001089856). this means that the first 3 decimal places are correct. Just to compare, the returned value by using the javascript function 'Math.sqrt(5.29)' is 2.3.

Note: There are other ways to calculate square roots. This is only one of them.

Normal:

The square root of 5.29 is defined as the only positive real number such that, multiplied by itself, it is equal to 2.3.

The square root of 5.29 can be written as (5.29)1/2. So,

(5.29)1/2 = (2.3 × 2.3)1/2

(5.29)1/2 = [(2.3)2]1/2

(5.29)1/2 = (2.3)2/2

(5.29)1/2 = (2.3)1

Thus,

√5.29 = 2.3

Answer:

[tex]y=-\frac{3}{2}x-15[/tex]

Step-by-step explanation:

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

So, all we have to do is make y the subject.

[tex]-3x-2y=30\\-2y=3x+30\\y=\frac{3x+30}{-2} \\y=-\frac{3}{2}x-15\\\\[/tex]

Answer:

y = (3/2)x - 15

Step-by-step explanation:

For it to be in slope intercept form, y has to be the subject of the equation, so it's a simple matter of rearranging the equation.

Original:

-3x - 2y = 30

and we want y to be the subject, so we start moving terms:

-3x = 30 + 2y

-3x - 30 = 2y

now it's just a matter of dividing both sides by 2 to give y as the subject

(-3/2)x - 15 = y

y = (-3/2)x - 15

Answer:

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer: 8

Step-by-step explanation: See this is very complicated so since 8-5 would be 3 and 8-3 would be 5 you would understand that 5+3 is 8!

A fraction can really look like anything. So the quotient can be sometimes larger than the dividend.

Answers:

=====================================================

Explanations:

The absolute maximum occurs at the highest point. Specifically, it's the largest y output possible. In this case, it's y = 4.

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To determine the value of f(-3), we draw a vertical line through -3 on the x axis. Mark where this vertical line crosses the curve. Let's say its point P. From point P, draw a horizontal line until you reach the y axis. You should arrive at y = -2. Therefore, f(-3) = -2.

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The absolute min is similar to the absolute max, but now we're looking at the lowest y output possible. No such y value exists because the curve goes on forever downward.

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The range is the set of all possible y outputs. The range in compound inequality notation is [tex]-\infty < y \le 4[/tex] indicating y can be anything between negative infinity and 4. We can include 4. The range in interval notation is [tex](-\infty, 4][/tex]. Note the use of the square bracket so that we include the 4.

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The domain is the set of x inputs possible. The smallest such input allowed is x = -4. There is no largest input because the graph goes on forever to the right. The domain is any x value such that [tex]-4 \le x < \infty[/tex] which condenses to the interval notation [tex][-4, \infty)[/tex]

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This is a function because we cannot draw a single vertical line through more than one point on this curve; hence, this graph passes the vertical line test.

Put another way, any x input in the domain leads to exactly one and only one y output. This is a nonvisual way to prove we have a function.

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A relative maximum occurs at any peak or mountain region. It is relatively the highest point in the neighborhood/region of points. There's one such mountain peak and it's at (1,2). We can think of this as a vertex of sorts for an upside down parabola. So the relative max is y = 2 because we're only concerned with the y value.

Note: y = 4 is not a relative max because there aren't any points to the left of that endpoint. A relative extrema must have points to the left and right of it for it to be a valid neighborhood.

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Imagine this curve represents a roller coaster. As we move to the right, going uphill on this curve is an increasing section. That would be the interval from x = -2 to x = 1. So we'd say -2 < x < 1 which condenses to the interval notation (-2, 1). This is not to be confused with ordered pair (x,y) notation.

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Now we consider when we move downhill when we move to the right. This occurs on the intervals [tex]-\infty < x < -2[/tex] and also [tex]1 < x < \infty[/tex]. We don't include any of the endpoints. This is because at x = -2 and x = 1, the cart is neither moving uphill nor downhill. These locations are stationary resting points so to speak.

Those two inequalities mentioned convert to the interval notations [tex](-\infty, -2)[/tex] and [tex](1, \infty)[/tex] in that order.

Once we determined those separated disjoint regions, we glue them together with the use of the union symbol U.

Our answer for this part would be [tex](-\infty, -2) \ \cup \ (1, \infty)[/tex]. Any point in this collective region will be moving downhill when moving left to right.

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This is similar to a relative maximum, but this time we're looking at the lowest valley point of a certain neighborhood. This is at (-2,-4). Therefore, the relative min is y = -4.

25% of the children like blue, so 0.25*32 = 8 like blue. This is the same number of people who like orange.

So you'll have "blue" in one quarter slice and "orange" in another quarter slice.

So far, we've counted 8 blue + 8 orange = 16 total. Because there are 32 kids overall, this leaves 32-16 = 16 left. This matches up with the fact that 16 like red. This is half of 32, meaning we'll shade two quarter slices to indicate red. Put another way, you'll have "red" in two slices.

Check out the diagram below. That's one possible configuration (other combos are possible).

Ok so 25% like blue, so if we had to make an equation it would be 0.25 x 32 because that would give us the number of children who like blue. So, when we do that we get 8 which is the same amount of kids who like orange. So, 1/4 of that circle would be blue and another one fourth of the circle would be orange. So now we have to look at the red. It says "16 children like red" and we know that theres a total of 32 kids. So, since 1/2 of the circle was of the kids who like blue and orange, the other half has to show the amount of kids who just like red. Look at screenshot below to help.

Answer:

Alternative Interior Angles Converse

Step-by-step explanation:

The two angles shown in the figure above are alternate interior angles. Each is located within the two parallel lines intersected by the transversal, and they also lie on opposite side of the transversal.

The pair of angles are Alternate exterior Angle.

The fundamental characteristics listed below make it simple to recognise parallel lines.

Given:

From the Figure we can see that m is parallel to n.

and, from the property of parallel line we get the following equal angles

As, from the figure the pair of angles are Alternate exterior Angle.

Learn more about Parallel line here:

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Answer:

72,000

Step-by-step explanation:

multiply everything

Take 2points on graph

[tex]\\ \sf\longmapsto slope=m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{4-1}{1-0}[/tex]

[tex]\\ \sf\longmapsto m=3[/tex]

Answer:

1/0.05

Step-by-step explanation:

The formula for the money multiplier is :

1/ Reserve rate

If is wrong i'm sorry

Answer:

1/0.05

Step-by-step explanation:

Just did test

Answer:

I got 24x^2  over x^2+7x+10

Step-by-step explanation:

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

Answer:

Total yearly interest for the two accounts is: $1500

Step-by-step explanation:

Total amount of money invested: $13000

x+y=13000,

Total yearly interest for the two accounts is: $1500

0.07*x+0.17*y=1500

x=13000-y

Substitute for x

0.07*(13000-y)+0.17*y=1500

Multiply out

910-0.07y+0.17*y=1500

Combine like terms.

0.1*y=590

Isolate y

y=$ 5900.00 at 17%

x=13000-y

Calculate x

x=$ 7100.00 at 7%

Check

0.07*7100+0.17*5900=1500

497+1003=1500

1500=1500

If this statement is TRUE and neither amount is negative then all is well

(Hope this helps can I pls have brainlist (Crown)☺️)

Answer:

-12, 0

Step-by-step explanation:

A= -6

If A-C = 6 then, A-6=C

-6-6 =C

C= -12

or C-A =6

C=A+6

C= -6+6

C=0

Step-by-step explanation:

y=(3/2)x +8

that is the answer

The equation of the line is y = (3/2)x + 8 if  the line that passes through ( - 8, - 4 ) and ( -6, - 1 ).

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

It is given that:

The line that passes through (-8, - 4 ) and ( -6, - 1)

The standard form of the line in slope-intercept form:

y = mx + c

Here m is the slope of the line

c is the y-intercept.

As we know, the ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

[tex]\rm m =\dfrac{-1-(-4)}{-6-(-8)}[/tex]

m = 3/2

y = (3/2)x + c

Plug x = -8, y = -4

-4 = (3/2)(-8) + c

c = 8

y = (3/2)x + 8

Thus, the equation of the line is y = (3/2)x + 8 if  the line that passes through ( - 8, - 4 ) and ( -6, - 1 ).

Learn more about the straight line here:

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Answer:

8 minutes, 30 seconds, by the look of the graph.

Step-by-step explanation:

At a distance of 10 inches, 1 minute has passed.

So multiply that by 8.5, and you have 85 inches travelled over 8 minutes, 30 seconds.

8mins and some 30secs according to the graph

Answer:

Its D

Step-by-step explanation:because the ruler is small and the other tools are not for it porpuse

Answer:

m

Step-by-step explanation:

Answer:

x = 68°, y=14

Step-by-step explanation:

∵ m║n

∴ m∠x = 180 - m∠112

m∠x = 68°

∵ ∠x and ∠(5y - 2) are vertically oppose

∴ m∠(5y - 2) = m∠x

m∠(5y - 2) = 68

Make equation

5y - 2 = 68

5y = 68 + 2

5y = 70

y = 70/5

y = 14

Hope this helps

Step-by-step explanation:

• The supplement of the angle with the measure of 112° is :

[tex]\bf x + 112 = 180 \\ \bf x = 180 - 112 \\ \bf \boxed{ \color{#FF0000}x = 68 }[/tex]

This angle of 68° and the angle sign x° are in angular positions.

Internal alternators

The lines m and n are parallel, these angles have the same measure.

The marking of the angle x and the marking of the angle (5y-2)° are opposite to the vertex.

They have the same measure:

[tex]\bf 5y - 2 = 68 \\ \bf 5y = 68 + 2 \\ \bf 5y = 70 \\ \bf y = 70 \div 5 \\ \bf \boxed{ \color{#FF0000}y = 14 }[/tex]

Answer:

The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other. Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.

The constant of proportionality can be found by finding the ratio of y to x after applying the concept of a proportional relationship.

It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.

It is given that:

The statement is:

The constant of proportionality can be found by finding the

As we know, from the definition of the proportional relationship;  the relationship between two variables when the first variable increases.

Let x and y are in the proportional relationship

y ∝ x

y = kx

Here k is the constant of proportionality:

k = y/x

The constant of proportionality can be found by finding the ratio of y to x.

Thus, the constant of proportionality can be found by finding the ratio of y to x after applying the concept of a proportional relationship.

Learn more about the proportional here:

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Answer:

x = 80

Step-by-step explanation:

The sum of the angles of a triangle is 180 degrees

70+30+x = 180

100+x = 180

Subtract 100 from each side

100+x-100 = 180-100

x = 80

Answer:

-1

Step-by-step explanation:

1. To simplify this expression, let's go through the steps of BODMAS.

Therefore, the answer is -1.

Answer:

Step-by-step explanation:

B is the answer

Answer:

C is the answer

Step-by-step explanation:

2,535 x 15= 38,025 + $54,020= $92,045 or C

Brainliest will be appreciated thank you!

Answer:

yay

Step-by-step explanation:

Answer:

Three and a half doors can be painted with 7/8 gallons

Step-by-step explanation:

It takes 2/8 to be 1/4 so divide each side of the 7/8 by 2 and you get 3.5/4

Answer:

3 and 1/2 doors can be painted with 7/8 gallons of stain

Answer:

120 students

Step-by-step explanation:

4/7×210=120 students

Answer:

he went $9.56 over

Step-by-step explanation: