parallel to y = 1/5x-4 and goes through (10,-2) in point slope form

Answer:

Step-by-step explanation:

The given box has the shape of a cuboid, since its height is greater than its width. Thus, the maximum volume for such box is 11200 [tex]in^{3}[/tex].

The volume of an object is a measure of it containing capacity. Since the given box has a taller height than its width, then it has the shape of a cuboid. The volume of a cuboid is given as:

volume = length x width x height

            = area x height

Given that the sum of the perimeter of its base and its height is not more than 108 inches, we can say; let the sides of the square base be represented by l and its height by h.

Then;

4l + h = 108

Therefore, maximum volume for the box can be attained when l = 20 inches and h = 28 inches.

So that;

4(20) + 28 = 80 + 28

                 = 108 inches

Thus;

maximum volume = area of the square base x height

                        = 400 x 28

maximum volume = 11200 [tex]in^{3}[/tex]

The maximum volume for such a box would be 11200 [tex]in^{3}[/tex].

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Answer:

35 hours

Step-by-step explanation:

She would need to work for 35 hours.

She earned $250.25 total the first two weeks, so divide that by the new rate per hour, $7.15, to get the 35 hours.

Answer:

35 hours

Step-by-step explanation:

In the first month she worked for 38.5 hours

Multiply that by $6 and we that she made 231 dollars

231 divided by here new rate of $6.60 would be 35 hours

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Answer: just line up the decimals.

Step-by-step explanation:

is there a specific question I can help you with?

Answer:  -8 -5i

Step-by-step explanation:

(-10 – 6i) +(2+i)

-10 – 6i +2 + i

(-10 +2) + (i – 6i)

-8 -5i

Answer:

Parallel

Step-by-step explanation:

Solving the equations, we come out to:

A. y = 1/4x + 1

B. y = 1/4x - 1

This would make the lines Parallel because the slope is the same

Answer:

a: 0

b: 1,3

c: 2

Step-by-step explanation:

a: 4 is the y intercept meaning 0 is the number of seconds when the ball is 4 feet in the air

b: to easily find this, we can graph.

1st screenshot is for B.

We see that y=52 intersects twice with the graph, meaning the ball was at 52 feet twice. the times are 1 second and 3 seconds

a: we graph again, but with y=68 we see that it only intersects once. at x=2.

Answer:

pls mark me

Step-by-step explanation:

As there are no 12 cards in a standard pack the probability is zero.

Step-by-step explanation:

x - 7 < -20

x < -20 + 7

x < -13

X = (-12, -11, -10,...)

[tex] \sf \longmapsto{x}−7<−20[/tex]

Let's start.

[tex] \sf \longmapsto \: x−7+7<−20+7[/tex]

[tex] \sf \longmapsto \: x<−13[/tex]

Answer:

Question 1) Option C: 2(2x+1) = y, y = 2x + 8.

Question 4) Option C:  y = x + 4,  2y = 2x + 8

Step-by-step explanation:

The graph of perpendicular lines will show an intersection of two lines at a single point, forming 90° adjacent angles. Since perpendicular lines intersect at exactly one point, then it means that they will have one solution.  Additionally, perpendicular lines have negative reciprocal slopes for which multiplying the slopes of both lines result in a product of -1.

Lines that have the same slope and y-intercept. Therefore, they are equivalent equations that will result in an infinitely many solutions. The graph of these lines will coincide on top of each other, as if they are the same line.  The systems of linear equations that result in an infinitely many solutions are dependent and consistent. They are dependent if they have an infinite number of solutions, and consistent because they have at least one solution.

Parallel lines have the same slope.  A systems of linear equations whose graph involve parallel lines have no solution, as there is no point of intersection between those two lines.  Therefore, parallel lines have no solution, making it an inconsistent system.

We must transform these equations in its slope-intercept form, y = mx + b, which will allow us to easily determine the type of lines a given system has based on their slopes.

Equation 1:  2x + y = 10

Equation 2: y = −2x + 8

Transform Equation 1 to slope-intercept form:

2x + y = 10

Subtract 2x from both sides:

2x - 2x + y = - 2x + 10

y = -2x + 10  ⇒ This is the slope-intercept form of Equation 1.

Since Equations 1 and 2 have the same slope, but different y-intercepts, then it means that they are parallel lines that have no point of intersection.

Transform both equations to slope-intercept form:

Equation 1:  2x + 4y = 10

                   [tex]\large\bf\sf{y\:=\:-\frac{1}{2}x\:+\:\frac{5}{2}}[/tex]  ⇒ This is the slope-intercept form of Equation 1.

Equation 2:  2(x+2y) = 10

Distribute 2 into the parenthesis:

2(x+2y) = 10

2x + 4y = 10  ⇒ It is clear at this point that this equation matches Equation 1. Thus, the slope-intercept form of Equation 2 will be the same:

[tex]\large\bf\sf{y\:=\:-\frac{1}{2}x\:+\:\frac{5}{2}}[/tex]  ⇒ Slope-intercept form of Equation 2.

It turns out that Equations 1 and 2 are equivalent, as they have exactly the same slope and y-intercept. Therefore, they have coinciding lines and have infinitely many solutions.

Transform both equations to slope-intercept form:

Equation 1:  2(2x+1) = y

                    y = 4x + 2  ⇒ Slope-intercept form of Equation 1.

Equation 2:  y = 2x + 8  

Equation 1: y = 10 − 2x

                    y = − 2x + 10  ⇒ This is the slope-intercept form of Equation 1.

Equation 2:  y = −2x + 7

Since Equations 1 and 2 have the same slope, but different y-intercept, then it means that they are parallel from each other.

Out of all the given four options, Option C seems to be the correct answer, since the given system has varying slopes and y-intercept.  Therefore, the correct answer for Question 1 is Option C:  2(2x+1) = y, y = 2x + 8.

For Question 4, I will not elaborate as thoroughly as in Question 1 since I'll be using the same techniques.

Equation 1:  2x+ 7x + y = 6

Combine like terms:

2x+ 7x + y = 6

9x + y = 6

Subtract 9x from both sides:

9x - 9x + y = - 9x + 6

y = - 9x + 6 ⇒ Slope-intercept form of Equation 1.  

Equation 2: y = 9x + 6

Option A Explanation:

Equations 1 and 2 have different slopes and the same y-intercept. This implies that they will have a point of intersection = one solution. However, they don't have perpendicular lines because their slopes are not negative reciprocal of each other.  Hence, Option A is not a valid answer for  question 4.

Equation 1:  y = 5x + 7

Equation 2:  y = 2x + 8

Option B explanation:

Similar to Option A, Equations 1 and 2 have different slopes and varying y-intercepts. Since they are not parallel from each other, and do not have coinciding lines, then Option B is not a valid answer for  question 4.

Equation 1:  y = x + 4

Equation 2:  2y = 2x + 8

Transform Equation 2 to Slope-intercept form:

Divide both sides by 2 to isolate y:

[tex]\displaytext\mathsf{\frac{2y}{2}\:=\:\frac{2x\:+\:8}{2}}[/tex]

y = x + 4  ⇒ This is the slope-intercept form of Equation 2.  

Option C explanation:

Equations 1 and 2 are equivalent, as they have exactly the same slope and y-intercept. They also have coinciding lines, having infinitely many solutions.  

Equation 1:  7x − y = 10

                    y = 7x - 10  ⇒ This is the slope-intercept form of Equation 1.

Equation 2:  y = 6x + 8

Option D explanation:

Similar to Option B, Equations 1 and 2 have different slopes and varying y-intercepts. Since they are not parallel from each other, and do not have coinciding lines, then Option D is not a valid answer for  question 4.

Answer:

562.39

Step-by-step explanation:

506.13+451.26=957.39

957.39-395=562.39

Answer:

The rate of change is: 2

Step-by-step explanation:

[tex]\frac{187-145}{2007-1986}[/tex] = 2

Answer:

5^9

Step-by-step explanation:

I had this question before.

Answer:

C

Step-by-step explanation:

B .  -A .   -b .   -b .   +a .   +b .   +c

b + b -b -b +a -a +c

c

Answer:

7.5?

Step-by-step explanation:

Answer:

Solve the equation for y. See example.

Step-by-step explanation:

I'll use 3x + 5y = 15. First subtract 3x from both sides since it is positive.

[tex]3x + 5y = 15 \\ - 3x \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: - 3x[/tex]

[tex]5y = - 3x + 15[/tex]

Now solve for y by dividing each term by 5.

[tex] \frac{5y}{5} = \frac{ - 3}{5} x + \frac{15}{5} [/tex]

Now simplify.

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

The slope is

[tex] - \frac{3}{5} [/tex]

Answer:

It is equal to 1 when raised to the zero power.

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Any number raised to the zero power equals 1. This is by definition to make the rules of exponents work.

Look at this example:

Any number (except zero) divided by itself equals 1.

For example, 25/25 = 1,

but 25 = 5²,

so 25/25 = 5²/5²

The rule of dividing two powers with the same base is to use the same base and subtract the powers.

5²/5² = 5^(2 - 2) = 5^0

By the rule of exponents, 5²/5² = 5^0,

but we saw above that 5²/5² = 25/25 = 1, so

5^0 must equal 1.

This led to the following definition of zero exponent.

Definition:

For any number a, a^0 = 1.

x=2

1:Subtract 2x from both sides.

2:Combine 2/3 x and -2x to get -4/3

3:Subtract 3/8 from both sides. Anything subtracted from zero gives its negation.

4:Multiply both sides by -3/4,the reciprocal of -4/3

5:Multiply − 3/8 ​ times − 4/ 3 ​ by multiplying numerator times numerator and denominator times denominator.

6:Do the multiplications in the fraction −8(−3) over 3x4.

x=24/12

Divide 24 by 12 to get 2.

x=2

​

Answer:

[tex]\huge\boxed{a) 28 \\ }\huge\boxed{b) 31}[/tex]

Step-by-step explanation:

A fibonacci-type sequence is simply a sequence that consists of the n-1th term + the n-2th term.  This simply means that the sum of the two numbers before a term, are the term.

Hope it helps :) and let me knwo if you want me to elaborate.

Answer:

a is 28 and  b is 31

Step-by-step explanation:

i hoped this helped

Answer:

3•2•7=42•2=84

12•10•7=840

84+840=924in^3

Step-by-step explanation:

Answer:

3a -3b= -9

3a - 4b = -5

-------------------

b=-4

4a- 4b= -12

3a - 4b = -5

-------------------

a = -7

Answer:  A: 250 = 3c - 20

Step-by-step explanation:

A: 250 = 3c - 20

To reach their final stash of $250, they need to sell c cookies at $3 each, less the $20 for the booth.

Answer:

Step-by-step explanation:

domain is x = input = {3, 6, 12, 18}

Range is y = output = {5, 7, 9, 10}

for x = 6 y has two values y = 5, 10

so it is not a function