how do you solve the equations:

-(1+4m)-6m=-81

and

238=-5(6v-7)-7

The correct answer is

4

:)

Answer:

option (a) Express proof reading

Step-by-step explanation:

Michelle has an 85-page manuscript. To calculate the total cost of printing equation will be  

85c - 0.05( 85c ) = T

where c = cost per page and T = total cost on editing 85 pages.

If total cost of editing is $161.50, then we have to find the best quality of editing Michelle can get.

85(c) - (0.05)(85c) = 161.50

85c - 4.25c = 161.50

80.75c = 161.50

⇒ c = $ 2 per page

As it has been given in the question that express proof reading costs $2.00 per page, so the best quality of editing Michelle can get is option (a) Express proof reading

Equation of the line, in point-slope form, that passes through points (3,-10) and (-5,-2) is y + 10 = -(x - 3).

We know lines have various types of equations, the general type is

Ax + By + c = 0, and equation of a line in slope-intercept form is y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given it has points (3,-10) and (-5,-2) and we know slope(m)

= (y₂ - y₁)/(x₂ - x₁).

= (-2 + 10)/(-5 - 3).

= 8/-8.

= -1.

Equation of a line in point-slope form is (y - y₁) = m(x - x₁).

y - (-10) = -1(x - 3).

y + 10 = -(x - 3).

learn more about lines here :

https://brainly.com/question/21511618

#SPJ5

The translation of the image can be describe as

x – 3

y + 6

Since the transformation that is made is purely translation, therefore this means that the original image and the new image will never intersect and hence:

Parallel

If the two are extended we can actually see that they will never meet.

Answer:

4/3

Step-by-step explanation:

a2 = 324 and a4 = 36

second term is 324  and fourth term is 36

[tex]a_n= a_1(r)^{n-1}[/tex]

To get second term, replace n with 2

[tex]a_2= a_1(r)^{2-1}[/tex]

[tex]a_2= a_1(r)[/tex]

replace a2 with 324

[tex]324= a_1(r)[/tex] -----------> equation 1

To get fourth term , replace n with 4

[tex]a_4= a_1(r)^{4-1}[/tex]

[tex]a_4= a_1(r)^3[/tex]      

Replace the value

[tex]36= a_1(r)[/tex]  -----------> equation 2

divide second equation by first equation

[tex]36= a_1(r)^3[/tex]    divide by [tex]324= a_1(r)[/tex]

1/9 = r^2

take square root on both sides

1/3= r

now we find a1

[tex]324= a_1(r)[/tex]  

[tex]324= a_1(\frac{1}{3})[/tex]

multiply by 3 on both sides

972= a_1

So a1= 972,  r= 1/3

now find out 7 term by replacing 'n' with 7

[tex]a_7= 972(\frac{1}{3})^{7-1}[/tex]

So 7th term is 4/3

1.

x^2 + 6.4^2 = 8^2

x^2 = 40.96 = 64

x^2 = 64 -40.96

x^2 = 23.04

x = sqrt(23.04) = 4.8

2. y=

y^2 + 3^2 = 5^2

y^2 +9 = 25

y^2 = 25-9

y^2 = 16

y = sqrt(16) = 4

Answer:

x^2 + 6.4^2 = 8^2

x^2 = 40.96 = 64

x^2 = 64 -40.96  

x^2 = 23.04  

x = sqrt(23.04) = 4.8

 y=

y^2 + 3^2 = 5^2

y^2 +9 = 25

y^2 = 25-9

y^2 = 16

y = sqrt(16) = 4

Final answer:

To solve for y in the equation 3x - 5y = 8, we subtract 3x from both sides and then divide by -5, resulting in y = (3/5)x - 8/5.

Explanation:

Solving for y in the equation 3x - 5y = 8

To solve for y in the equation 3x - 5y = 8, we need to isolate y on one side of the equation. Here are the steps:

Start with the original equation: 3x - 5y = 8.

Subtract 3x from both sides of the equation to get -5y = -3x + 8.

Divide each term by -5 to solve for y: y = (3/5)x - 8/5.

So the solution for y in terms of x is y = (3/5)x - 8/5.

Answer:

The vertex is the point E

Step-by-step explanation:

we know that

The angle marked in the figure is the angle [tex]<CEB[/tex]

therefore

The vertex is the point E

Answer:

Yes the person is right I got it right on the test

Step-by-step explanation:

Answer:

z = 83 / (-c - t + 6)

Step-by-step explanation:

Correct answer on Khan Academy

The restriction of the outright worth of x as x methodologies 0 will be 0. Outright worth guarantees that the result is non-negative, and as x methodologies zero from one or the other side, the outcome stays at 0.

The inquiry you're posing relates to the furthest reaches of the outright worth capability as the variable x methodologies are the worth of nothing. In science, explicitly in math, we assess cutoff points to comprehend the way of behaving of capabilities as they approach a specific point.

To track down the breaking point as x methodologies 0 of the outright worth of x, signified as lim x→0 |x|, we want to think about the meaning of outright worth. The outright worth of a number is the non-negative worth of that number regardless of its sign. In this manner, as x methodologies 0 from either the positive or negative side, the outright worth of x will likewise move toward 0.

Consequently, the cutoff is 0, since as x gets increasingly close to nothing, so does the outright worth of x.

Final answer:

The equation of simple interest p + prt can be factored by taking out the common factor p, resulting in a factored expression of p(1 + rt).

Explanation:

The equation p + prt represents the total amount of money in a savings account after t years when interest is earned at a simple interest rate of r on the principal amount p. To factor this expression, we look for the greatest common factor present in each term. Here, the common factor is the principal amount p.

Therefore, the factored form of the expression is p(1 + rt). This shows that the total amount is composed of the initial principal plus the product of the principal, the rate, and the time.

This differs from compound interest, where the interest earned is added to the principal at each compounding period, leading to interest on interest. Simple interest calculations are straightforward and don't involve this compounding effect, making it simpler to calculate future values manually or using online calculators.

Final answer:

To find a polynomial with given zeros 2+i and 2, include the conjugate 2-i to ensure rational coefficients, resulting in the polynomial x^2 - 4x + 3.

Explanation:

Finding a Polynomial with Given Zeros

To find a polynomial function of the lowest degree with rational coefficients that has 2+i and 2 as some of its zeros, you should remember that complex zeros in polynomials with real coefficients come in conjugate pairs. This means that if 2+i is a zero, so is its conjugate 2-i. You now have three zeros: 2, 2+i, and 2-i.

The polynomial with these zeros can be written as (x-2)(x-(2+i))(x-(2-i)). To find the polynomial, we simply multiply these factors:

Now add the resulting quadratics:

This results in:

Which simplifies to x2 - 4x + 3. Thus, the required polynomial function of the lowest degree is x2 - 4x + 3.

Answer:

In a parallelogram, opposite sides are congruent.

Step-by-step explanation:

Writing the lengths of the sides of the parallelograms shows him a pattern for the side lengths of opposite sides.  Doing this will show him that opposite sides are congruent.