How many solutions does the system of equations have? Explain1. Y = 5x - 4Y = -4 + 5xHow many solutions does the system of equations have? Explain2.Y=2x+3Y=-3x+6How many solutions does the system of equations have? Explain3. Y=-4x+5Y=-4x+5How many solutions does the system of equations have? Explain

The answer of the expression is 3 -4 and the sum is -1

Given,

In the figure, given a number line.

And, write an addition expression represented by number line. Then find the sum.

Now, According to the question:

To solve for an expression is:

Calculate the principle based on the number line .

We can figure out the formula .

= 3 - 4

[Moving to the right is positive and moving to the left is negative ]

To find the sum:

3 - 4 = -1

According to the figure , the end point of the movement is -1 and the answer is correct.

Hence, The answer of the expression is 3 -4 and the sum is -1

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The total cost of a CD player is $58.52

Answer:

1. 6 units

2. 13 units

3. 5 units

Step-by-step explanation:

Answer:

there is no solution because there aren't any nubmer of X to get linear equation

3X-3X= 12-7

0=5

there aren't solutions so it will be 0

Answer:

100 ×10 =1000

Step-by-step explanation:

10% of 1000 is 100 that's the final answer if am wrong let me know

Let n be the smallest integer of the 3, then since all the numbers have to be even numbers, the other two numbers are of the form:

Since the sum of the numbers has to be 78, we can set the following equation:

Simplifying the above equation we get:

Answer:

Answer:

The correct answers are below, if you want a more in depth explanation let me know and I will provide

Step-by-step explanation:

- The Diver surfaced 3 min before the Watcher

- When the noticed was received, the Diver was 20 ft deeper than the watcher

- 3 Min after receiving the notice, the diver and the watcher are at the same depth

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

polynomials

Step 02:

applications of polynomials:

The polynomials can be represented graphically, and are used in many economics and engineering problems. In economics they appear, for example, to model markets, showing how prices vary over time; how raising or lowering the price of a product affects its sales; or also in the calculation of taxes.

In forestry engineering, for example, we need geometry to calculate areas, but also polynomials in problems such as calculating how many trees we need to replant after having cut down an area of a forest.

Other uses of polynomials are the calculation of the trajectory of projectiles (they are parabolic trajectories), or in the calculation of orbits of satellites or rockets.

That is the full solution.

Hello

we are given a function and asked to find the reminder when it is divided by a binomial

According to the remainder theorem, f(a) would be the remainder from dividing f(x) by x -a

but our f(x) is given as

From the calculation above, the answer to this question is 31

Answer:

Slope = 0.25

Step-by-step explanation:

m= -3 / -12 = -1 / -4 = 0.25

distance between x's = 12

distance between y's = 3

hope this helped thank you!

x ∈ ( -π/2 + 2kπ ; π/2 + 2kπ) ; k ∈ Z

The domain of f(x)=ln(cosx) =  x ∈ ( -π/2 + 2kπ ; π/2 + 2kπ) ; k ∈ Z

Given function,

            f(x)=ln(cosx)

When cos(x) is positive, the domain is.

(cos(x)) > 0

since,

cos0 = 1

cos π/2 = 0

cos π = -1

cos 3π/2 = 0

cos 2π = 1

cos 3π/2 = 0

The values of cos(x) are then between -1 and 1.

That is domain of  f(x)=ln(cos x)

= cos x ∈ (0;1] -> x ∈ ( -π/2 + 2kπ ; π/2 + 2kπ) ; k ∈ Z

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The mixed fraction can be 3 2/3 and the improper fraction would be 11/3 for the same mixed fraction.

A mixed fraction is one that is represented by its quotient and remainder. 2 1/3, for example, is a mixed fraction in which 2 is the quotient and 1 is the remainder. A mixed fraction is thus the product of a whole number and a proper fraction.

An improper fraction is one in which the numerator (top number) exceeds or equals the denominator (bottom number). Fractions like 651/14 are "incorrect." They are simply another way to write a mixed number.

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Given data:

The time taken by Amy is A=30 min.

The expression for the time taken by Julian is,

Substitute the given values in the above expression.

Thus, the time taken by Julian is 48 minutes.

In order to find the minimum distance, first let's write a map with all positions and distances:

Now, let's write the total distance for the paths she can choose:

Therefore the minimum distance is 26 miles.

Not true, true, true, true, true, true, true, not true, true, true

See explanation below

From the diagram, we noticed a change in lengths when all four vertex was dragged.

This means the 4 sides will not always be the same (congruent).

Not always true: The four sides are congruent

From both diagrams. we found the opposite sides are the same (congruent)

Always true: The opposite sides are congruent

Since they opposite sides arecongruent, this also means the opposite sides are parallel

Always true: opposite sides are parallel

All four angles from both diagrams are equal (congruent)

Always true: all four angles are congruent

SInce all four angles areequal, then the angles opposite each other will also be equal.

Always true: opposite angles are congruent

The diagonals of both shapes bisect each other. Hence, they are congruent.

Always true: Diagonals are congruent

Always true: diagonals bisect each other

Diagonals of a square (the shapethat has all sides equal ) intersect at a right right angle.

Diagonals of a rectangle ( the shape with opposite sides equal) don ot intersect at right angle.

Not always true: Diagonals intersect at a right angle

The interior angles were split by the two diagonals in both shapes.

Always true: Diagonals bisect interior angles

The sum of angles in a quadrilateral is equal to 360°

Both shapes are quadrilaterals. Hence, the sumof their angles is 360°.

Always true: sum of all angles equal 360°

Answer:

y = 3x+3

Step-by-step explanation:

The rate of change, or slope, in this case, is 3, as we can either count the increase in y-values or perform the Δy/Δx (slope equation: [tex]\frac{9-3\\}{2-0}[/tex])to yield three, meaning that the (3x) in this equation would be the slope. Since the y-intercept is the constant in the equation and the y-intercept is always when x=0 (when the graph crosses the y-axis) on the XY plane, we can just subtract 3 from the x=1 coordinate, meaning that the y-intercept/x=0 coordinate would be (0, 3), leaving 3 as the constant.

Therefore,

the equation is y = 3x+3.

We can see that if we rotate P 90° counterclockwise it would be located in the first quadrant. So it can be A or B. But A forms a 90° with the position of point P. So, the answer is A.

Based on the sequence given of 3,5,8,12,17, it would be incorrect to say that the sequence is arithmetic. The sequence is not arithmetic.

In an arithmetic sequence, one would find that the number that separates each of the figures in the sequence is the same. In other words, the common difference between each figure is the same.

For instance, 2, 5, 8, 11, 14 has the common difference of 3 so this is an arithmetic sequence.

The sequence given of 3,5,8,12,17 is not arithmetic because the difference between each number is not common and instead increases.

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Answer: [tex]9x^8 6^{9x/2}+\ln(6^{4.5}) \cdot 6^{4.5x}[/tex]

Step-by-step explanation:

[tex]w=\sqrt{(x^2 6^x)^9}=(x^2 6^x)^{9/2}=x^9 6^{9x/2}\\\\[/tex]

Using the product rule,

[tex]\frac{dw}{dx}=6^{9x/2}\frac{d}{dx} (x^9)+x^9 \frac{d}{dx}(6^{9x/2})\\\\=9x^8 6^{9x/2}+\ln(6^{4.5}) \cdot 6^{4.5x}[/tex]

Answer:

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

Vertex form of quadratic equation:

Convert the given expression into vertex form by completing the square:

Answer:

[tex]f(x)=\left(x+\dfrac{1}{2}\right)^2+\dfrac{3}{4}[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{5.6 cm}\underline{Vertex form of a quadratic equation}\\\\$y=a(x-h)^2+k$\\\\where:\\ \phantom{ww}$\bullet$ $(h,k)$ is the vertex. \\ \phantom{ww}$\bullet$ $a$ is some constant.\\\end{minipage}}[/tex]

To find the vertex form of the given function, complete the square.

Given function:

[tex]f(x)=x^2+x+1[/tex]

Add and subtract the square of half the coefficient of the term in x:

[tex]\implies f(x)=x^2+x+\left(\dfrac{1}{2}\right)^2+1-\left(\dfrac{1}{2}\right)^2[/tex]

[tex]\implies f(x)=x^2+x+\dfrac{1}{4}+1-\dfrac{1}{4}[/tex]

[tex]\implies f(x)=x^2+x+\dfrac{1}{4}+\dfrac{3}{4}[/tex]

Factor the perfect square trinomial formed by the first three terms:

[tex]\implies f(x)=\left(x+\dfrac{1}{2}\right)^2+\dfrac{3}{4}[/tex]

The number is 6.

What is a number?

A number is a mathematical entity that may be used to count, measure, and name things. The natural numbers 1, 2, 3, 4, and so on are the original instances. Number words can be used to represent numbers in language. Individual numbers can be represented more generically by symbols known as numerals; for example, "5" is a numeral that represents the number five. Because only a small number of symbols can be memorized, fundamental numerals are often structured in a numeral system, which is a systematic method of representing any number. The most prevalent numeral system is the Hindu-Arabic numeral system, which allows any number to be represented using a combination of 10 fundamental numeric symbols known as digits.

Let the number be n.

Then according to que, n + (5+n) = 17

or, 2n = 17 - 5

or, n = 12/2 = 6

Hence the number is 6.

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For any given angle in a right triangle that is not the 90° angle its sine is given by the quotient between its opposite side and the hypotenuse. For triangle ABC the hypotenuse is BC and the opposite side to theta is AB. Then the sine of this angle is given by the following equation:

Then the answer is the third option, 4/5.

Answer:

  zero

Step-by-step explanation:

You want Amy Van's average velocity when she swims 50 m to the end of the pool and back.

Average velocity is the ratio of the change in position to the amount of time over which that change occurs. When Amy ends up where she started, she has not changed position at all, so her average velocity is ...

  Vave = (change in position)/time = 0/time = 0

Her average velocity is zero.

Answer: -33

Step-by-step explanation: I guess he had like debt to pay lol but he would've had to have -33 dollars and added $84 to get a total of $51

Answer:A rate of change is a rate that describes how one quantity changes in relation to another quantity. Constant rate is also called as uniform rate which involves something travelling at fixed and steady pace or else moving at some average speed. For example, A car travels 3 hours.

Step-by-step explanation:

Mix of paintings to obtain 20 cups of paint

there are 3X cups of yellow

there are 2Y cups of red

then find X and Y such that

3X + 2Y = 20

One possible solution is X = 2 Y= 7

2 cups yellow, and 7 cups red

Answer:

600

Step-by-step explanation:

[tex]R(1)=400 \\ \\ R(2)=1000 \\ \\ R(2)-R(1)=600[/tex]

Answer:

700 ml of Solution B was used

Step-by-step explanation:

Whenever we have unknowns the first thing to do is to represent the unknowns using variables, set up equations using given information and solve equations for the unknowns

Here the unknowns are volume of solution A and volume of solution B

Set up our variables as follows

Let x = volume of solution A used for mixing in ml

Let y = volume of solution B used for mixing in ml

We are given that volume of A used is 400 ml less than volume of B used

In math terms this can be represented as
y - x = 400

Or,

- x + y = 400       [1]

We are given the percentages of alcohol in A and B respectively
Since A contains 12% alcohol, the actual volume of alcohol in A
= 12% of  x ml

= 0.12x               (12% = 12/100 = 0.12)

Similarly alcohol by volume in B
= 0.20x

Total alcohol by volume if x of A and y of B are mixed is
0.12x + 0.20y

and we are given that this quantity is 176 ml

So we set up our second equation as
0.12x + 0.20y = 176      [2]

Using both equations we eliminate either the x or y terms to arrive at an equation involving only the other term.

Since the question asks us to determine only the volume of Solution B used, we should eliminate x term from both equations to get a single equation involving only the y term

Let's review the equations:
- x + y = 400    [1]

0.12x + 0.20y = 176  [2]

Make the coefficients of x the same :
Multiply [1] by 0.12

=> -0.12x + 0.12y = = 0.12 x 400
=> 0.12x + 0.12y = 48  [3]

Add [2] and [3] to eliminate the x term

     0.12x + 0.20y   =  176
+
     -0.12x + 0.12y    =   48

-----------------------------------------
          0x    + 0.32 y =  224

=> 0,32y = 224

Divide both sides by 0.32
==> 0.32y/0.32 = 224/0.32

==> y = 700

So 700 ml of Solution B was used

If we wanted to find volume of solution A used, subtract 400 from 700 to get 300 ml of A

Given that the radius r of a circle is written as a function of the area A with the following equation:

The domain of the above function is the area A of the circle.

This is because, in this context, the area is an independent and unique variable.

A is the input value.