Use the diagram to fill in the angle that makes the statement true.

Answer:

  x = 0; y = -6; z = 1

Step-by-step explanation:

You want to find the solution to the system of equations ...

This set of equations is conveniently solved using the matrix row-reduction features of a scientific or graphing calculator, spreadsheet, or any of a number of apps or on-line calculators.

The attachment shows the solution to be ...

  (x, y, z) = (0, -6, 1)

__

Additional comment

Solving a system of three or more equations "by hand" often can be done by an ad hoc process. It can be done in systematic fashion using Gauss-Jordan reduction techniques, but that often gets messy. Similarly, Cramer's Rule can be used, but that math tends to involve more arithmetic operations than are really necessary.

Adding the first equation to the other two eliminates the y-variable and reduces the system to two equations in two unknowns.

  (9x +y -3z) +(10x -y +2z) = (-9) +(8) . . . . adding [1] and [2]

  19x -z = -1 . . . . simplified

  (9x +y -3z) +(-10x -y +4z) = (-9) +(10) . . . . adding [1] and [3]

  -x +z = 1 . . . . simplified

At this point, we could graph the two equations, or we can proceed algebraically.

Adding these two equations gives ...

  (19x -z) +(-x +z) = (-1) +(1)

  18x = 0   ⇒   x = 0

Using the second of the reduced equations, we find ...

 -x +z = 1

  0 +z = 1   ⇒   z = 1

And using the second of the original equations, gives us ...

  10(0) -y +2(1) = 8

  -y = 6 . . . . . subtract 2

  y = -6 . . . . multiply by -1

Then the solution is (x, y, z) = (0, -6, 1), as above.

The cost of a ride for an individual person will be $10.5

It is given that Mel and 5 friends went to ride which makes the Total number of people for the Ride will be 6. Also, Four of them rented Helmets for the rides each helmet cost $3. It is also given that the total cost of helmets and rides is $75. From this we get :

Total people = 6, Helmet cost = 4*3 = $12, and Total cost = $75

Taking the cost of a ride as 'x' we get the equation representing this statement:  

              => 4*3 + 6x = 75  =>  6x = 63

              =>  x = 10.5

We get value of x = $75.

Hence, we get the cost of an individual ride $75.

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The value of the composite function (mn)(-3) is 9

The given parameters are:

m(x) = x

n(x) = -3

The composite function is given as

(mn)(x)

The above composite function is calculated as

(mn)(x) = m(x) * n(x)

Substitute -3 for x in the above function

So, the above function becomes

(mn)(-3) = m(-3) * n(-3)

So, the above function becomes

(mn)(-3) = -3 *-3

Evaluate the product in the above equation

So, we have

(mn)(-3) = 9

Hence, the value of the composite function (mn)(-3) is 9

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Complete question

If m(x) = x and n(x) = -3, calculate ( m n ) (x) for x = −3

Answer:

  70 ft

Step-by-step explanation:

You want the actual width of a gym that is represented as 7 inches on a drawing with a scale of 1 in : 10 ft.

Each inch represents 10 feet, so 7 inches will represent ...

  7 × 10 ft = 70 ft

The gym is 70 ft wide.

__

Additional comment

You can also write and solve an equation that shows the measures are proportional:

  actual width / drawing width = (10 ft) / (1 in) = (gym width) / (7 in)

Multiplying both sides of this proportion by 7 in, we have ...

  gym width = (7 in) × (10 ft)/(1 in) = 7 × 10 ft = 70 ft

Answer:

The function has a minimum of -1 at x = 3

The function is increasing on the interval: (3,∞)

The function is decreasing on the interval (-∞,3)

Step-by-step explanation:

Since our parabola opens upwards on the graph, the function has a minimum.

The minimum is the lowest x-value and y-value in the function.

From left to right, the function is moving downwards (decreasing) from x = -∞ to x = 3.

From left to right, the function is moving upwards (increasing) from x = 3 to x = ∞

Answer:

17

Step-by-step explanation:

We can substitute x = -4 and y = 1 since the point lies on the line.

[tex]5(-4)-3(1)=B \\ \\ B=17[/tex]

The correct option is option B) which is that the statement is true for all real numbers.

According to the question we have been given the inequality equation as

             |2s-7| ≥ -1

We know that for b<0,

         if |a| ≥ b then all real numbers.

Here we have been given,

           |a| = |2s-7|

            b = -1 <0

As it is fulfilling the above condition and also all the absolute values are non-negative. Therefore the statement is true for all real numbers.

Hence the solution of the  |2s-7| ≥ -1 is true for all real numbers that is option B) is the correct option.

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Answer:

I think 3.

Step-by-step explanation:

3*4=12 near 10

The number of 4-fluidounce bottles that should be dispensed to meet the dosing requirements for the treatment of oropharyngeal candidiasis is 37.5 bottles.

To determine the number of 4-fluidounce bottles, we apply mathematical operations of addition, subtraction, division, and multiplication.

First, the total dosage is determined as 1,500 mg.

Since 40 mg/mL is available in 4-fluidounce bottles, the total dosage is divided by 40 mg/mL to determine the number of bottles required.

Dose of posaconazole for the first day = 100 mg twice

= 200 mg (100 mg x 2)

The total number of days for the dosage = 14

Dose for next 13 days = 1,300 mg (100 mg x 13)

Total dosage = 1,500 mg (200 mg + 1,300 mg)

40 mg/mL = 4-fluidounce bottle

1,500 mg = 37.5 bottles (1,500/40)

Thus, the number of 4-fluidounce bottles is 37.5 bottles.

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Answer: y=-4x+7

Step-by-step explanation:

(1, 3) and (-1, 11)

m=(y2-y1)/(x2-x1) ==> Slope formula

m=(11-3)/(-1-1)

m=8/(-2)

m=-4

y=mx+b

3=-4(1)+b

3=-4+b

b=7

y=-4x+7

If one fifth times w equals negative one eight then w = -5/8

What is Rational numbers?

A rational number is any number that can be written as a fraction, where both the numerator (the top number) and the denominator (the bottom number) are integers, and the denominator is not equal to zero. In other words, a rational number can be expressed as p/q, where p and q are both integers and q ≠ 0.

given that one fifth times w equals negative one eight

we have to find the value of w

one fifth = 1/5

one fifth times w = (1/5)* w

negative one eighth = - 1/8

now according to the question

one fifth times w equals negative one eight

(1/5) *w =  -1/8

now solve the equation , we get

w= (5) * (-1/8)

  = -5/8

Hence ,if  one fifth times w equals negative one eight then w = -5/8

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The division property of equality simply tells us that if we divide both sides of an equation by the same number, then the equation remains the same.

It should be noted that when the denominator of a fraction is equal to 1, and the numerator is nonzero, the value of the fraction is equal to the numerator of the fraction.

Fractions simply means, numbers that are not whole.

If the numerator is nonzero, and the denominator is 1; then the fraction has a value of the numerator.

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Answer:

When the denominator of a fraction is equal to 1 and the numerator is nonzero, the value of the fraction is equal to the numerator of the fraction.

Step-by-step explanation:

I took a 2.12 math quiz in K12 and got it 100% Correct! Yes!

Thus, (x) = 3x + 18 and g(x)=x-6 are not inverses of each other.

Two function are inverse if they do undo or cancel each other, which means

f and g are inverse if

f(g(x)) = x and g(f(x)) = x

Here, f(x) = 3x + 18 and g(x)=x-6

Lets check by substituting the values in the formula

⇒ f(g(x))

⇒ f(x-6)

⇒ (3x + 18) - 6

⇒ 3x - 12

⇒ x = 4

g(f(x))

⇒ g(3x + 18)

⇒ 3(x-6) + 18

⇒ 3x - 18 + 18

⇒ 3x

⇒ x = 1/3

A function is composed in mathematics when two functions, f and g, are used to create a new function, h, such that h(x) = g(f(x)). The function of g is being applied to the function of x, in this case. Therefore, a function is essentially applied to the output of another function.

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Answer:

Step-by-step explanation:

9 ( 3 + 4) - 8 / 4 =

( use BIDMAS)

first step is brackets:

9 (7) - 8 / 4 =

next step is division:

63 - (8 / 4) =

63 - 2 = 61

hope that helps :)

Answer:

35

Step-by-step explanation:

thx for the pionts loolllll

Equation of the line with slope -1/2 passing through the point (-1,-4) is x + 2y = -9

Given,

the slope of the line = -1/2

the line passes through the point (-1,-4)

=> s = -1 and t = -4

The following equation can be used to find the line's equation:

( y - t ) = slope ( x - s )

We get by substituting the values in the equation

=> y + 4 = - 1/2 * ( x + 1 )

=> x + 2y = -1 - 8

=> x + 2y = -9

Therefore, by using the formula for equation of line, we get the equation of the line with slope -1/2 passing through the point (-1,-4) as x + 2y = -9

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We can't find dimension of the painting because length of painting is imaginary form.

Six rectangles make up a cuboid, each of which is referred to as a face. The cuboid's six faces are denoted by the letters ABFE, DAEH, DCGH, CBFG, ABCD, and EFGH in the previous diagram.

A pair of opposing faces is formed by the top face ABCD and the bottom face EFGH. The opposing faces ABFE, DCGH, and DAEH, CBFG, have similar pairings. Adjacent faces are any two faces that are not opposite faces.

Consider the faces ABCD, ABFE, BCGF, CDHG, and ADHE that are close by.

The width of painting = x- 24

the length of painting = x

according to question  

area of painting = 4081 [tex]cm^{2}[/tex]

i.e. [tex]x * (x - 24) = 4081[/tex]

[tex]x^{2} -24x-4081 = 0[/tex]

applying shridharacharya formula  :

 [tex]x = (-b ± √(b2 - 4ac)) / 2a.[/tex]

it has imaginary roots !!!

Roots: -12 + 62.745517768204i, -12 - 62.745517768204i

Root Pair: -12 ± √(3937)i

Factored: f(x) = (x + 12 + 62.745517768204i)(x + 12 - 62.745517768204i)

Discriminant: -15748

Vertex: (-12, 3937)

Sum of Roots (-b/a): -24

Product of Roots (c/a): 4081

∴ We can't find dimension of the painting because length of painting is imaginary form.

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The missing number in the equation is 6.

Given,

The sum of 23/6 and five times a number = 13/6 subtracted from six times the number.

We can take the number as x.

Now, the equation is:

23/6 + 5x = 6x - 13/6

Cross multiply both sides:

(23 + (5x × 6)) / 6 = ((6x × 6) - 13) / 6

We get,

(23 + 30x) / 6 = (36x - 13) / 6

Cancel 6 from both sides:

Then,

23 + 30x = 36x - 13

Add 13 to both sides:

23 + 13 + 30x = 36x - 13 + 13

We get,

36 + 30x = 36x

Add -30x to both sides:

36 + 30x - 30x = 36x - 30x

Then,

36 = 6x

x = 36/6 = 6.

That is, the missing number in the equation is 6.

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Answer:

Hello,

a=3

Step-by-step explanation:

Since the middle term is x^3y^3 ==> n=6

Coefficient of  x^3y^3 is 20 (triangle de Pascal)

So a^6= 14580/20=729 ==> a=3

The equation that represents how many pages Shinji reads is P(n) = 25n

The given parameters are:

25 pages = 1 night

Multiply both sides by n

So, we have:

25 * n = 1 * n nights

Express as a function

25 * n = P(n)

Rewrite as

P(n) = 25n

Hence, the equation that represents how many pages Shinji reads is P(n) = 25n

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Answer:

Step-by-step explanation:

I think you are supposed to add the the numbers in that row and if it's more that 18 and less that 37 that's the answer. exapmle:

2,8,3,9,5

Add those together and get 27. 27 is less than 37 and more that 18 so it would be one of the answers.

I could be wrong but I'm pretty sure that is what you do

The answer will be 0. 10 >  0. 01 . Option B

Given the values as;

Turn the values into proper fractions

a. 0. 10 = 10/ 100

Reduce to simpler terms

= 10/ 100

= 1/ 10

b. 0. 01 = 1/ 100

a = 1/ 100

b = 1/ 100

This means that both decimals are not of  equal proportion and thus a is greater than (>) b

Thus, the answer will be 0. 10 >  0. 01 . Option B

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The amount invested in the account that paid 4% interest is $2,600

The amount invested in the account that paid 13% interest is $1,500.

a + b = 4100 equation 1

0.04a + 0.13b = 299 equation 2

Where:

a = amount invested in the account that paid 4% interest

b = amount invested in the account that paid 13% interest

The first step is to multiply equation 1 by 0,04

0.04a + 0.04b  = 164 equation 3

Subtract equation 3 from equation 2

0.09b = 135

b = 135 / 0.09

b = $1500

a = 4100 - 1500 = $2,600

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Answer:

40

Step-by-step explanation:

=125x32

=4,000÷100

=40

Answer: 36

Step-by-step explanation:

Median of an even number data set, you would add the two middle numbers divided by 2. Answer is 36. See attached solution

Answer:

y = -34x - 270

Step-by-step explanation:

m = -34, y = 2, x = -8

y = mx + b

2 = -34(-8) + b

b = 2 - 272

b = -270

y = -34x - 270

Answer:

true

Step-by-step explanation:

Answer: true

step by step explanation:

Answer:

A and D

Step-by-step explanation:

[tex]\sf \boxed{\text{\bf Volume of rectangular box = length * width * height}}[/tex]

A) Volume of the given box = 6 * 3 * 5

                                             = 90 cubic meters.

D) Volume of the given box = 3 * 2 * 15

                                             = 90 cubic meters

Answer:-26

Step-by-step explanation:

Answer:-14-12=-26

Step-by-step explanation: PEMDAS. You do the first parentheses which is 7-21, which will get you -14. Then you do the second parentheses, 4+8. That will get you 12. Then since there’s no multiplication/division, you go to addition/subtraction and since there’s a subtraction symbol in between the parentheses, that’s what you do. -14-12 which will get you -26.

Hope this helps!

Btw PEMDAS stands for (for those people who don’t know or don’t remember)

Parentheses

Exponents

Multiplication*

Division*

Addition’

Subtraction’

*do both together, whichever one comes first when reading it

’do both together, whichever one comes first when reading it