What is 20% of 300 EXPLAIN ...?

The value of [tex]m[/tex] is [tex]2[/tex].

Given:

The given equations are:

[tex]y=mx-6[/tex]        ...(i)

[tex]8x-4y=12[/tex]         ...(ii)

To find:

The value of [tex]m[/tex] that will create a system of parallel lines with no solution.

Explanation:

The slope-intercept form of a line is:

[tex]y=mx+b[/tex]           ...(iii)

where, [tex]m[/tex] is the slope and [tex]b[/tex] is the [tex]y[/tex]-intercept.

The slope of line (i) is [tex]m[/tex].

Equation (ii) can be rewritten as:

[tex]-4y=-8x+12[/tex]

[tex]y=\dfrac{-8x+12}{-4}[/tex]

[tex]y=2x-3[/tex]

The slope of this line is [tex]2[/tex].

We know that the slopes of parallel lines are equal. So, [tex]m=2[/tex].

Learn more:

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Final answer:

To find all cube roots of -125i in polar form, convert them to a+bi form by expressing -125i in polar form, finding the cube roots, and converting them to a+bi form.

Explanation:

To find all the cube roots of -125i in polar form and convert them to a+bi form, follow these steps:

Express -125i in polar form: -125i = 125∠-90°.

Find the cube roots by taking the cube roots of the magnitude and adding multiples of 360°/3 to the argument.

The cube roots of -125i in a+bi form are 5∠-30°, 5∠90°, and 5∠210°, which correspond to -2.5-4.33i, 0+5i, and 2.5-4.33i respectively.

Answer:

The sequence is arithmetic

Step-by-step explanation:

we know that

In an arithmetic sequence, the difference between consecutive terms is always the same and is called common difference

In this problem we have

[tex]3,9,15,21,...[/tex]

Let

[tex]a1=3, a2=9,a3=15,a4=21[/tex]

[tex]a4-a3=21-15=6[/tex]

[tex]a3-a2=15-9=6[/tex]

[tex]a2-a1=9-3=6[/tex]

The sequence is arithmetic

The common difference is equal to [tex]6[/tex]

Answer:

D on edge

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

hope this helps

The correct answer is:

D) The amount a person pays for gas compared with the number of gallons purchased

Explanation:

A constant rate of change means that for every x, y increases the same amount.

In the situation "The amount a person pays for gas compared with the number of gallons purchased ," the independent quantity, or x-value, is the number of gallons, and the dependent quantity, or y-value, is the amount paid.  Since gas has a set price per gallon, for every gallon purchased, the total amount paid goes up the same amount.  This means it has a constant rate of change.

Answer: 7/12

Explaintion: Write at least 20 characters to explain it well.

The simplest radical form of the expression 5√28 + √63 will be 29√7.

If the power of the variable "a" is b/c.

Then the simplest radical form of the expression will be

[tex]\rm \left ( a \right )^{\rm \frac{b}{c}} = \rm \sqrt[\rm c]{\rm a^b}[/tex]

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ 5√28 + √63

Simplify the expression, then we have

⇒ 5√28 + √63

⇒ 5√(4 x 7) + √(9 x 7)

⇒ 5 x 4√7 + 9√7

⇒ 20√7 + 9√7

⇒ 29√7

The simplest radical form of the expression 5√28 + √63 will be 29√7.

More about the simplest radical form link is given below.

https://brainly.com/question/7440652

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Answer:

Slope-Intercept Form states that in the equation of a straight line y=mx+b the slope is the number represented by m that is multiplied on the x, and b is the y intercept i.,e the point where line cut the vertical  y-axis.

Given equation: 5x+2y=3              ......[1]

To convert this equation into slope intercept form;

Subtraction Property of equality states that you subtract the same number from both sides of an equation.

Subtract 5x from both sides in equation [1];

[tex]5x+2y-5x=3-5x[/tex]

Simplify:

[tex]2y=3-5x[/tex] or we can write this as;

[tex]2y=-5x+3[/tex]                 ......[2]

Division property of equality states that you divide the same number from both sides of an equation:

Divide by 2 from both sides of an equation in [2]

[tex]\frac{2y}{2} =\frac{-5x+3}{2}[/tex]

On simplify:

[tex]y=-\frac{5}{2}x+\frac{3}{2}[/tex]

Therefore, the given equation in slope intercept form is: [tex]y=-\frac{5}{2}x +\frac{3}{2}[/tex]

To find out how much 250 envelopes would cost, set up a proportion using the given information that 100 envelopes cost 70 cents. Cross-multiply and solve for the unknown cost, which is $1.75.

To find out how much 250 envelopes would cost, you can use the concept of proportions. Since 100 envelopes cost 70 cents, you can set up a proportion to find the cost of 250 envelopes: 100/70 = 250/x, where 'x' represents the unknown cost. Cross-multiplying, you get 100x = 70 * 250. Dividing both sides by 100, you find that x = 175.

Therefore, 250 envelopes would cost 175 cents.

In decimal form, 175 cents is equal to $1.75.

Answer:

[tex]10 ft^2[/tex]

Step-by-step explanation:

We are given that

Length of soccer field=336 feet

Width of soccer field=210 ft

Width of soccer table=2.5 feet

We have to find the area of soccer table which is similar to soccer field in size.

Let x be the length of soccer table.

We know that when two figures are similar then ratio of their corresponding sides are equal.

[tex]\frac{336}{x}=\frac{210}{2.5}[/tex]

[tex]x=\frac{336\times 2.5}{210}=4[/tex]

Length of soccer table=4 ft

Area of soccer table=[tex]length\times breadth[/tex]

Area of soccer table=[tex]4\times 2.5=10 ft^2[/tex]

Hence , the area of soccer table=[tex]10 ft^2[/tex]

Answer: [tex]64.36^{\circ}[/tex]

Step-by-step explanation:

According to the question,

PQ ║ RS

And, PQ and RS are cut by the same transversal CD.

Then, By the alternative interior angle theorem,

The alternative interior angles made by the transversal CD on parallel lines PQ and RS must be congruent.

Thus, [tex]\angle PXY\cong \angle XYS[/tex]

⇒ [tex]m\angle PXY = m\angle XYS[/tex]  ( by the property of congruent angles )

Here  [tex]m\angle PXY = 64.36^{\circ}[/tex]  

⇒ [tex]m\angle XYS = 64.36^{\circ}[/tex]

the answer is -14

hope this helps   : )

Answer:

The correct answer is c.

Step-by-step explanation:

Given the equation

[tex]ax^{2}+bx+c=0[/tex]

The quadratic equation solves the values of ''x'' which satisfy the original equation (In the equation I replace ± by the symbol |):

[tex]\frac{-b|\sqrt{b^{2}-4ac}}{2a}[/tex]

The solutions of [tex]4x^{2}+x=-3[/tex] are the same that the solutions of [tex]4x^{2}+x+3=0[/tex]

With [tex]a=4\\b=1\\c=3[/tex] we replace this in the quadratic equation ⇒

[tex]\frac{-1|\sqrt{(1)^{2}-4(4)(3)}}{(2)(4)}[/tex]  ⇒

[tex]\frac{-1|\sqrt{1-48}}{8}[/tex] ⇒

[tex]\frac{-1|\sqrt{-47}}{8}[/tex]

Given that [tex]i^{2}=-1[/tex] (imaginary numbers property)

[tex]\frac{-1|\sqrt{47i^{2}}}{8}=\frac{-1|i\sqrt{47}}{8}[/tex]

The solutions are [tex]\frac{-1+i\sqrt{47}}{8}[/tex]

and [tex]\frac{-1-i\sqrt{47}}{8}[/tex]

The correct answer is c.

Answer: C

Step-by-step explanation: I just took the test and got it right <3