Answer the following questions.
1) Choose the equation of a line parallel to the given equation and passing through a point P.
x+2 y=5 ; P=(2,-5)
y=-1/2 x-1
y=2 x-4
y=-2 x-1
y=-1/2 x-4

2) Choose the equation of a line parallel to the given equation and passing through a point P.
-3 x-y=-4 ; P=(1,4)
y=-3 x+5
y=-3 x+7
$y=1/3 x-3
$y=1/3x+7

Answer:

0,

The range of f(x) is [0,∞),

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

Simplify the following:

((4 + 1/5)×5)/14

((4 + 1/5)×5)/14 = ((4 + 1/5)×5)/14:

((4 + 1/5)×5)/14

Put 4 + 1/5 over the common denominator 5. 4 + 1/5 = (5×4)/5 + 1/5:

(((5×4)/5 + 1/5) 5)/14

5×4 = 20:

((20/5 + 1/5)×5)/14

20/5 + 1/5 = (20 + 1)/5:

(((20 + 1)/5)×5)/14

20 + 1 = 21:

(21/5×5)/14

21/5×5 = (21×5)/5:

((21×5)/5)/14

((21×5)/5)/14 = (21×5)/(5×14):

(21×5)/(5×14)

(21×5)/(5×14) = 5/5×21/14 = 21/14:

21/14

The gcd of 21 and 14 is 7, so 21/14 = (7×3)/(7×2) = 7/7×3/2 = 3/2:

Answer:  3/2

Answer:

1,1 + 1oope k1 5l+<=3 is the 109199

Answer:Multiply the base area times the height to find the volume, which is the amount of packing material required

Step-by-step explanation:   example :An empty box is shaped like a rectangular prism. The box has a base area of `9/10` square foot and a height of `1/3` foot. How much packing material is required to fill the box?

First, multiply the numerators, or the top numbers. 9 * 1 = 9

Then, multiply the denominators, or the bottom numbers. 10 * 3 = 30

So, the amount of packing material required is 9/30 cubic feet.

Answer:

no

Step-by-step explanation:

Generally oblique is used to describe the relationship between 2 lines, but only 1 is given. Oblique means slanted to a degree other than a multiple of 90°, usually in reference to the other line.

x = 7 is a vertical line, and that is exactly 90°, -90°, or even 270° or -270° depending on how you look at it, so it is not oblique on its own.

Answer:

x = 7 is not an oblique line.

Step-by-step explanation:

x = 7 is the standard equation for a vertical line, x = a, with an undefined slope.  Vertical lines do not have horizontal change. Hence, its line will not be oblique (or slanted).  

The equations in slope-intercept form (y = mx + b), standard form (Ax + By = C), and point-slope form [y - y₁ = m(x - x₁)] will most likely represent an oblique line, as long as its slope (m) ≠ 0.  A line with a zero slope is a horizontal line (which is also not an oblique line).

Therefore, x = 7 is not an oblique line, but rather a vertical line.  

Answer:

-364 should be subtracted

Step-by-step explanation:

subtract -9876 from -9512 to see what number u will get and them that's the number that will obtain -9512

-9876

-9512

_

_______

-364

-9876

-364

_

_______

-9512

Hi there!

~

\(9876 - 364 = 9512\)\(-9876 - 364 = -9512​\) -364

Answer: There are 9 mangoes left in the basket.

Step-by-step explanation:

(2/5) * 15 = 6.

15 - 6 = 9.

The graph is plotted for the given function \(y=-2^x+1\)

What is a function?

A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value.

Additionally, output values can be equal to input values.

The x-values are input into the function machine. The function machine then performs its operations and outputs the y-values. The function within can be any function.

it's parent function

\(y=-2^x+1\)

\(y = 0\)

So The graph is plotted for the given function \(y=-2^x+1\)

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Step-by-step explanation:

the standard form of a circle equation is

(x - h)² + (y - k)² = r²

where (h, k) is the center of the circle, and r is the radius.

since the center of this circle is the origin (0, 0), we have the simplified version

x² + y² = r²

to get r² we simply use the given point

7² + 1² = r²

49 + 1 = r²

r² = 50

our equation in standard form is therefore

x² + y² = 50

The solution is, x² + y² = 50 , is the equation in standard form for the circle passing through (7, 1) centered at the origin.

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. The perimeter around the circle is known as the circumference.

here, we have,

we know that,

the standard form of a circle equation is

(x - h)² + (y - k)² = r²

where (h, k) is the center of the circle, and r is the radius.

since the center of this circle is the origin (0, 0), we have the simplified version

x² + y² = r²

to get r² we simply use the given point,

here, the circle passing through (7, 1)

so, we get,

7² + 1² = r²

49 + 1 = r²

r² = 50

we get, equation in standard form is therefore

x² + y² = 50

Hence, The solution is, x² + y² = 50 , is the equation in standard form for the circle passing through (7, 1) centered at the origin.

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The simplified form of -20/2(7 2/3) is -230/3.

To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.

First, let's convert the mixed number 7 2/3 to an improper fraction.

7 2/3 = (7 * 3 + 2) / 3 = 23/3

Now, let's substitute the value back into the expression:

-20/2 * (23/3)

Next, we simplify the multiplication:

-10 * (23/3)

To multiply a fraction by a whole number, we multiply the numerator by the whole number:

-10 * 23 / 3

Now, we perform the multiplication:

-230 / 3

Therefore, the simplified form of -20/2(7 2/3) is -230/3.

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To solve this question, we need to sum all the amounts and then divide the result by 2 (Jill and Terry). Then, we have:

Then, each of them needs to pay $449.

Answer:

x = 6

Step-by-step explanation:

This is a bit of a tricky equation, and it's what we call an exponential equation since it involves some exponents. The way we begin to solve these kinds of problems is make the base on each side of the equals sign the same. On one side, we have 9 as our base, and on the other side, we have 3 as our base. 9 = 3², so we can rewrite our equation as shown below:

(3²)⁴ˣ⁻¹⁰ = 3⁵ˣ⁻²

From there, we can use the exponent rule (xᵃ)ᵇ = xᵃᵇ to simplify the left side of the equation.

3²⁽⁴ˣ⁻¹⁰⁾ = 3⁵ˣ⁻²

3⁸ˣ⁻²⁰ = 3⁵ˣ⁻²

Since our bases are now the same, we can take just the exponents and turn it into a new equation as shown below:

8x - 20 = 5x - 2

Hopefully at this point, this problem becomes easy for you, but I'll show how I solved this new equation below in case it doesn't make sense.

8x - 20 = 5x - 2

8x - 20 - 5x = 5x - 2 - 5x

3x - 20 = -2

3x - 20 + 20 = -2 + 20

3x = 18

3x/3 = 18/3

x = 6

Hopefully that's helpful! Let me know if you need more help. :)

Required line is :  \(y + 2 = -3 (x+6)\)

What do you mean by slope-intercept form?
The line with m as the slope, m and c as the y-intercept is the graph of the linear equation y = mx + c. The values of m as well as c are real numbers in the slope-intercept form of the linear equation. The slope, m, is a measure of how steep a line is. Sometimes, the gradient of a line is referred to as its slope. A line's y-intercept, ab, denotes the y-coordinate of the location where the line's graph crosses the y-axis.

Given equation, \(y =-3x + 4\)Slope, m = -3
Required line passes through (-6,-2) and has slope m = -3.
So, Required line is : : \(y + 2 = -3 (x+6)\)

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Answer:

18 units

Step-by-step explanation:

You don't need to use slope since both are using 13 for y.

22 - 4 (both x values) = 18

B. 18 units

The sοlutiοn οf the given prοblem οf unitary methοd cοmes οut tο be  fοr Met Manufacturing tο turn a prοfit, 103,184 sunglasses must be sοld.

The well-knοwn straightfοrward apprοach, actual variables, and any relevant infοrmatiοn frοm the initial and specialist questiοns can all be used tο finish the assignment. Custοmers may be given anοther chance tο try the gοοds in respοnse. If nοt, significant expressiοn in οur understanding οf prοgrams will be lοst.

Here,

We must figure οut hοw many pairs οf sunglasses must be sοld tο cοver the fixed and variable cοsts in οrder tο reach the break-even pοint.

Assume that X sunglasses must be sοld tο break even.

Fixed cοst plus variable cοst equals tοtal cοst.

Selling price x Number οf units sοld equals tοtal revenue.

The tοtal revenue and entire expense are equal at the break-even pοint.

Thus, we can cοnstruct the equatiοn:

Fixed cοst plus variable cοst multiplied by the selling price equals the quantity sοld.

=>  $9.44 X = $748,374 + $2.19 X

=>  $9.44 X - $2.19 X = $748,374

=>  $7.25 X = $748,374

=>  X = $748,374 / $7.25

=>   X = 103,184

Therefοre, fοr Met Manufacturing tο turn a prοfit, 103,184 sunglasses must be sοld.

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The answer is:  " \(m\)∠\(TPQ\) = 124°  " .

_____________

Step-by-step explanation:

We are asked to find: "m" (the "measurement");

specifically, " \(m\)∠\(TPQ\) "  ;

_____________

 →  which, from the diagram given:

         is represented by "(11x + 14)" .

_____________

 → If we can solve for the value of "x" ; then we can solve for:

   "(11x + 14)" ;  i.e. " \(m\)∠\(TPQ\) " .

_____________

Let us consider " ∡\(QPR\) " ;

    → which is the "supplementary angle" to:  " ∡\(TPQ\) " :

_____________

That is:  " \(m\)∠\(TPQ\) + \(m\)∠\(QPR\)  =  180° " .

_____________

Note:  By definition, "supplementary angles" add up to: "180° " ;

                              → even if multiple angles are involved.

_____________

Note:  "∡\(TPQ\) " and " ∡\(QPR\) " —

                        together — form a "straight line" ;

                        →  which means that the 2 (two) angles are                    

                            "supplementary" ; and:

                        →  which means that the:  sum of the measurements of                        

                             the  " 2 (two) angles " —equal:  " 180° .

   {Note:  by "forming a straight line" ;  for this purpose, this criterion also is satisfied by forming a "straight line on a line segment" —even if that "line segment" is actually:

   1)  an actual "line segment" ;  or:  

   2)  a portion of a "line segment" ;

   3)  a "line segment" that is actual part of a "true geometry line" ; or

                                                                    "[geometric] ray".}

_____________

So: We have:

_____________

→  " \(m\)∠\(TPQ\)  +  \(m\)∠\(QPR\)  = 180 " ;

_____________

Given:  " \(m\)∠\(TPQ\) = (11x + 14) " ;

_____________

Plug in this value for:  " \(m\)∠\(TPQ\) " ;

_____________

→  " (11x + 14)   +  \(m\)∠\(QPR\)  = 180 " ;   Solve for: " \(m\)∠\(QPR\) " :

_____________

→  Subtract:  "(11x + 14)" ; from Each Side of the equation:

    to isolate:  " \(m\)∠\(QPR\) " ;  on one side of the equation;

     & to solve for:  " \(m\)∠\(QPR\) " ; in terms of "x" :

_____________

→  " (11x + 14)   +  \(m\)∠\(QPR\)  − (11x + 14) = 180 − (11x + 14) " ;

Note:  On the "left-hand side" of the equation:

 The:  "(11x + 14)" 's  cancel out to "0" ;

    {since:  (11x + 14)  −  (11x + 14) = 0 ;

                → {i.e. any value, minus that same value, equals: "zero".}.

 →  And we have:  " \(m\)∠\(QPR\) =  180 − (11x + 14) " ;

_____________

Note:  " 180 − (11x + 14) " ;

  ↔  Treat as:

         " 180 − 1 (11x + 14) " ;

             → {since multiplying by "1" results in the same value.}.

Consider the following portion:

        "  − 1 (11x + 14) " ;

_____________

Note the "distributive property" of multiplication:

_____________

            →  \(a(b +c) = ab + ac\)  ;

_____________

Likewise:  " − 1 (11x + 14)  = (-1*11x) + (-1 *14) ;

                                    = (-11x)  + ( -14) '  

                                    =  - 11x − 14 ;  

        {Since:  "Adding a negative" results in the same value as:

                    "Subtracting a positive."}.

_____________

Now, bring down the "180" ; and rewrite the expression:

     →  " 180 − 11x − 14  " ;

          →  Combine the "like terms" :

                 + 180 − 14  =  + 166 ;

Rewrite the expression as:

     →  " 166 − 11x " ;

_____________

Now, we can rewrite the entire equation:

  " \(m\)∠\(QPR\)  =  166 − 11x " ;

_____________

Now, consider the triangle:  ΔQRP ;

with its 3 (three) sides—as shown in the image attached:

Note:

By definition:

All triangles:

____________

1) have 3 (three) sides;

2) have 3 (three) angles;  and:

3) have angles in which the sum of the measurements of those angles add up to 180°.

_____________

So:  For ΔQRP ; which is shown in the image attached:

_____________

Let us consider the measurements of Each of the 3 (three) angles of that triangle:

_____________

1)  m∡Q = "(5x + 18)" ; (given);

2)  m∡R  = " 56 " ; (given) ;

3)  m∡P —[within the triangle] = "(166 − 11x)" ; (calculated above}.

_____________

We want to find the value for "x" ;

_____________

So:  since all triangles, by definition; have 3 (three) angles with measurements that add up to 180° ;

 → Let us add up the measurements of each of the 3 (three) angles of:

  ΔQRP ;  and make an equation by setting this sum "equal to:  180 ."

_____________

   →  " m∡Q  + m∡R + m∡P = 180 " ;

   →  (5x + 18) + 56) + (166 - 11x) = 180 ;

   →  5x + 18 + 56 + 166 − 11x = 180 ;

On the "left-hand side" of the equation:

 Combine the "like terms" to simplify further:

         +5x − 11x  =  − 6x ;

         + 18 + 56 + 155 = 240 ;

And rewrite the equation:

_____________

  - 6x + 240 − 240 = 180 − 240 ;

to get:

  - 6x   =  - 60 ;  

Now, divide Each side of the equation by:  "( -6)" ;

 to isolate: "x" on one side of the equation;

    & to solve for "x" ;

_____________

   - 6x / 6    =  - 60 / -6  ;

to get:

     "  x  = 10 " .

_____________

Now, the question asks for:

" the measurement for angle TPQ ";

  → {that is;   " \(m\)∠\(TPQ\) " } ;

  →  which is:  " (11x + 14) " ;

Since we know that:  " x = 10 " ;

 We can plug in our "10" as our value for "x" ; and solve accordingly:

_____________

 →  " \(m\)∠\(TPQ\) = (11x + 14) =  (11*10) + 14 = 110 + 14 = 124 .

_____________

The answer is:  " \(m\)∠\(TPQ\)  =  124°  " .    

_____________

Hope this answer—and explanation—is helpful!

  Best wishes!

_____________

Answer:

B: 80%

Step-by-step explanation:

24 ÷ 30

= \(\frac{4}{5}\) = 80%

Answer:

80 cuz a did a Quiz not a edg quiz a class Quiz

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

x-5+11=x

2x=-5+11

2x=6

x=3

Answer:

15 = 3 x 5

75 = 15 x 5

375 = 75 x 5

Answer: I cant see the picture

Step-by-step explanation:

Answer:

lol

no

ask

it teacher of it school

Answer:

you need to look for common factors or terms within the expression and then rewrite the expression using those factors or terms

Step-by-step explanation:

3x+6 but when you factor out the gcf which is 3 it becomes 3(x+2)

3x+6=3x+2

Answer:

x=-1

Step-by-step explanation:

4x+35x-15=9x-45
39x-15=9x-45
39x-9x=-45+15
30=+-30
x=-1

Answer:

\( \sf \: x = - 1\)

Step-by-step explanation:

Given equation,

→ 4x + 5(7x - 3) = 9(x - 5)

Now the value of x will be,

→ 4x + 5(7x - 3) = 9(x - 5)

→ 4x + 35x - 15 = 9x - 45

→ 39x - 15 = 9x - 45

→ 39x - 9x = -45 + 15

→ 30x = -30

→ x = -30 ÷ 30

→ [ x = -1 ]

Hence, the value of x is -1.

The value of x for the ordered pair (x,0) is 0. B is the correct option.

What is ordered pair?

An ordered pair in mathematics is a set of two things. The order of the objects in the pair matters because, unless a = b, the ordered pair differs from the ordered pair. Ordered pairs are also known as 2-tuples, or 2-length sequences.

Given function is

y = 200 tan x.

Given ordered pair is (x,0).

The value of y for the given ordered pair is 0.

The value of tangent function is increasing with increase the value of degree.

The value of tangent at 0 degree is 0 that is tan 0 = 0.

If we multiply a number with zero it returns 0.

The possible value of x is 0.

Hence option B is the correct option.

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Answer:

6

Step-by-step explanation:

75-6=4y+4y+3.5y

or 11.5y=69

or y=69\11.5

     =6

Answer:

- 7.5 y - 4y= 6 - 75

Step-by-step explanation:

= - 11.5y = -69

= y = 6

The company's profit for each month from March through May was $1687.33. This question is solved using linear equation.

A linear equation is an equation that represents a straight line when plotted on a graph. The general form of a linear equation is:

y = mx + b

Let's call the profit for each of the months of March through May "x".

We know that the total profit for January and February was -4758 - 3642 = -8400.

And we know that the total profit for January through May was -1275.

So we can set up the equation:

-8400 + 3x = -1275

Solving for x:

x = (-1275 + 8400) / 3

x = 5062 / 3

x = 1687.33

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Answer:

The test statistics is  \(z = 2.47\)

Step-by-step explanation:

From the question we are told that

    The  sample size is  n =  191 \  buses

     The sample mean is  \(\= x = 96 700 \ miles\)

    The population standard deviation is  \(\sigma = 37 500 \ miles\)

The null hypothesis is  \(H_o : \mu = 90 000\)

The alternative hypothesis is  \(H_a : \mu > 90 000\)

Generally the test statistics is mathematically represented as

         \(z = \frac{\= x - \mu }{ \frac{\sigma }{\sqrt{n} } }\)

=>      \(z = \frac{96700 - 90 000 }{ \frac{37500}{\sqrt{191} } }\)

=>      \(z = 2.47\)

Answer:

1. 3 + 2 = 2 + 3

2. 5 + 2 = 3 + 4

3. 6 + 0 = 3 + 3

4. 8 + 2 = 9 + 1

5. 2 + 2 = 4 + 0

6. 5 + 3 = 6 + 2

u basically just fill in the blank with a number that would add up to the number u already have that would equal the same as the other side. also pls give brainliest haha

On solving the provided question, we can say that the probability of the red die rolling is 16.67% probability = 0.1667

A branch of mathematics called probability theory determines the chance that an event will occur or that a statement is true. A probability is a number between 0 and 1, where 1 denotes certainty and about 0 denotes how probable an event is to occur. The possibility or likelihood that a specific event will occur is expressed numerically as a probability. Probabilities can also be expressed as percentages from 0% to 100% or as numbers between 0 and 1. the proportion of occurrences among all equally likely alternatives that lead to a certain event relative to all possible outcomes.

red die, there are 3 numbers greater than 3 out of 6 numbers

Probability (A) = 3/6 = 1/2.

green die, there are 2 numbers less than 3 out of 6 numbers

Probability (B) = 2/6 = 1/3.

events are independent

P(A and B) = \(P(A)P(B) = 1/2 X 1/3 = 1/6 = 0.1667\)\(P(A)P(B) = 1/2 X 1/3 = 1/6 = 0.1667.\)

16.67% probability = 0.1667

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The side b is approximately 80.02 feet in length. In a right triangle ABC with angle C equal to 90°, if angle B is 37.56° and side a is 49.94 feet, we can solve for side b using the trigonometric function sine.

First, we can label the triangle as follows:

Side a is opposite angle A,

Side b is opposite angle B,

Side c is the hypotenuse.

Let's label the triangle with the given and asked for information. Angle C is the right angle, angle B is 37.56°, side a is 49.94 feet, and side b is the side we are trying to find.

Using the sine function, we have:

sin(B) = opposite/hypotenuse

sin(37.56°) = a/b

Now we can substitute the known values:

sin(37.56°) = 49.94/b

To solve for b, we rearrange the equation:

b = 49.94 / sin(37.56°)

Using a calculator, we find:

b ≈ 80.02 feet.

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