Enter the equation of the line in slope-intercept form.
Slope is 1/4, and (4, 2) is on the line.
The equation of the line is y =

Let's try all of the possible answer choices.

Any result that is even, we cross off the list. Otherwise we have our answer.

If c = -8, then c-8 = -8-8 = -16 which is even. Cross this off the list

If c = 0, then c-8 = 0-8 = -8, which is even. Cross this off the list.

If c = -5, then c-8 = -5-8 = -13, which is odd. We have our answer

If c = 10, then c-8 = 10-8 = 2, which is even. Cross this off the list

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

Answer: 1 hour

Step-by-step explanation:

2 gallons in, 3 gallons out per minute

means 1 gallon lost per minute

60 gallons in the tank so it will take 60 minutes to drain it completely

answer=1hr

Answer:

Yes, because 4 + 4 = 8 so it is the same as 7 × 8.

Answer:

Yes.

Step-by-step explanation:

This is because if using PEMDAS, you will see that (4+4) = 8.

That would mean that 7x(4+4) =7x8, and that Paulo is correct.

Answer:

(b) y=-3/4x-8

Step-by-step explanation:

The graph that will be perpendicular to the graph 4x - 3y = -12

If this equation is represented in form of the straight line equation y = mx + b

it will change to 3y = 4x + 12

therefore y = (4/3)x + (12/3)

y = (4/3)x + 4

which implies that m = 4/3 while b = 4

However for the line that will be perpendicular to the graph, its slope m1 must be negative inverse of the slope of the initial graph

This is because m x m1 = -1

therefore m1 = -1/m

this implies that the correct answer must have a slope of -1/(4/3) = -3/4

The correct answer can then be analysed by expressing all options with y = mx + b

(a) In form of y = m1x + b, 4x+3y=12 becomes y = -4/3x + 4 (m1 = -4/3: wrong)

(b) In form of y = m1x + b, y=-3/4x-8 has m1 = -3/4 (correct)

(c) In form of y = m1x + b, y=3/4x+1 has m1 = 3/4 (wrong)

(d) In form of y = m1x + b, 3x-4y=1 becomes y = 3/4x - 1/4 (m1 = 3/4: wrong)

Answer:

Hope it helps :)

Step-by-step explanation:

Detailed answer in the attached file

Answer:

log 5 5

= 1.

Step-by-step explanation:

Use the logarithm law  loga b - loga c = loga b/c:

log5 125 – log5 25

= log5 125 / 25

= log5 5.

= 1.

The expression log5 125 - log5 25 simplifies to 1.

To combine the logarithms log5 125 and log5 25 as one logarithm and simplify, we can use the properties of logarithms. Specifically, we'll use the property that states logb(x) - logb(y) = logb(x/y). Applying this property, we have:

log5 125 - log5 25 = log5 (125/25)

We simplify the fraction 125/25 to get 5. So, we have:

log5 (125/25) = log5 5

The logarithm of a number to the base of itself is always 1, so:

log5 5 = 1

Therefore, the expression log5 125 - log5 25 simplifies to 1.

Answer:

The amount of time it takes to ride 26 miles is 2.89 hours.

Step-by-step explanation:

Given : You ride your bike at 9 miles per hour.

To find : How long it will take you to ride 26 miles ?

Solution :

The equation given is [tex]9\times t=26[/tex]

Using distance formula,

[tex]\text{Distance}=\text{Speed}\times \text{Time}[/tex]

According to formula t represent the time taken to cover the distance.

Your speed in miles per hour is 9 miles per hour.

The number of miles you've traveled so far is 26 miles.

Solving the equation,

[tex]9\times t=26[/tex]

[tex]t=\frac{26}{9}[/tex]

[tex]t=2.89[/tex] hours

The amount of time it takes to ride 26 miles is 2.89 hours.

Answer:

[tex]14\ \frac{miles}{gallon}[/tex]

Step-by-step explanation:

we know that

To find out the unit rate (number of miles per gallon of gasoline) divide the total miles driven by the total gallons of gasoline used

so

[tex]\frac{278.2}{19.6}\ \frac{miles}{gallons}=14.19\ \frac{miles}{gallon}[/tex]

Round to the nearest WHOLE amount of miles

[tex]14.19\ \frac{miles}{gallon}=14\ \frac{miles}{gallon}[/tex]

Answer:

jessie is better

Step-by-step explanation:

45/3=15

$15 per hour

90/5=18

$18 per hour

Answer:

the correct answer is jessie charges jim the better price

Step-by-step explanation:

Answer:

y = 2

Step-by-step explanation:

When line is horizontal, all points on this line have the same value of y.

In this case , all points have to have y = 2.

y = 2, is an equation of horizontal line.

The equation of  line y = 2 represents the horizontal line passing through (-1,2).

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have given a point (-1, 2) on a coordinate plane.

The distance from origin (0, 0) and (0, 2) is 2

And line y = 2 represents the horizontal line that passes through (-1, 2)

Thus, the equation of  line y = 2 represents the horizontal line passing through (-1,2).

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Answer:

See image below.

I'm not 100% sure if this is allowed or not, someone please let me know if it is not.

Step-by-step explanation:

See image below

Answer:

± 11[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Given

x² + 11² = 22², that is

x² + 121 = 484 ( subtract 121 from both sides )

x² = 363 ( take the square root of both sides )

x = ± [tex]\sqrt{363}[/tex] = ± [tex]\sqrt{121(3)}[/tex] = ± 11[tex]\sqrt{3}[/tex]

Answer:

f(x)=38x+b

Linear Equation

Step-by-step explanation:

So I used slope intercept form it 38 per bicycle and plus the costs of running but we don't know the cost so it's shown as b, the reason I did not use Exponential because from reading the word problem it's not going to grow rapidly.

Answer:

-5/2

Step-by-step explanation:

Slope = change in y over change in x or  (y2-y1)/(x2-x1)

slope = (-13-(-3))/(6-2) = -10/4 = -5/2

Answer:

m=-5/2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-13-(-3))/(6-2)

m=(-13+3)/4

m=-10/4

simplify,

m=-5/2

Answer:

r=6

Step-by-step explanation:

4r+7=31

4r=31-7

4r=24

r=24/4

r=6

Answer:

y-3=-1/5(x+6)

Step-by-step explanation:

Answer:

n>=1

Step-by-step explanation:

30-5n<=25

5n<=30-25

5n<=5

n<=5/5

n<=1

n>=1

This is a cool one. Sequence 1 will approach negative infinity and Sequence 2 will approach 0 but never get to it!

Sequence 1 is an arithmetic sequence with a common difference of -16. Sequence 2 is a geometric sequence with a common ratio of 1/2.

Sequence 1 is an arithmetic sequence with a common difference of -16. Starting with 32, each term is obtained by subtracting 16 from the previous term. Sequence 2 is a geometric sequence with a common ratio of 1/2. Starting with 32, each term is obtained by multiplying the previous term by 1/2.

Sequence 1: 32, 16, 0, -16, ...
Sequence 2: 32, 16, 8, 4, ...

Statement 1: Sequence 1 is an arithmetic sequence. True.
Statement 2: Sequence 2 is a geometric sequence. True.
Statement 3: The common difference in Sequence 1 is 8. False. The common difference is -16.
Statement 4: The common ratio in Sequence 2 is 1/2. True.
Statement 5: The next term in Sequence 1 is -32. True. The next term is obtained by subtracting 16 from -16.
Statement 6: The next term in Sequence 2 is 2. True. The next term is obtained by multiplying 4 by 1/2.

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Answer:

Our final answer is option B that is [tex]10x^2-42x+8[/tex]

Step-by-step explanation:

As we have to multiply the binomial.

Here is the work.

Using distributive law of multiplication.

Where [tex]a(b+c)=ab+ac[/tex]

⇒[tex](5x-1)(2x-8)[/tex]

  [tex]5x(2x-8)-1(2x-8)[/tex]

  [tex]10x^2-40x-2x+8[/tex]...     [tex](-1\times -8 =8)[/tex]

  As [tex]-40x[/tex] and [tex]-2x[/tex] are in negative so we will add these      

  numbers keeping the negative sign as it is.      

  [tex]10x^2-42x+8[/tex]

So the correct choice is option B that is [tex]10x^2-42x+8[/tex]

Answer:

Step-by-step explanation:

no

(x +a)² + (y + b)² = r²

Since, a=0 and b=0, r=5, we get x²+ y²= 5².

So, x²+y² = 25

Answer:

To best show this information, the scale for the T-axis of his graph should go from 0 to at least 60.

To best show this information, the scale for the m-axis of his graph should go from 0 to at least 12.

Step-by-step explanation:

Mohammad will have collected T cards after m months, given that he buys 5 cards each month and he started with no cards.

The relationship describing this situation is

[tex]T=5m[/tex]

When [tex]m=6,[/tex] then [tex]T=5\cdot 6=30[/tex] cards.

When [tex]m=12,[/tex] then [tex]T=5\cdot 12=60[/tex] cards.

To best show this information, the scale for the T-axis of his graph should go from 0 to at least 60.

To best show this information, the scale for the m-axis of his graph should go from 0 to at least 12.

Answer: Answer C

Step-by-step explanation:

12%___780 votes

100%___X= 6500 votes

(100*780)/12 = 6500

Answer:Include

Step-by-step explanation:

Multiply add and subtract the top. I can include the rest if you want

Answer:

The required number is 8.

Step-by-step explanation:

Given : If [tex]\frac{1}{2}[/tex] is subtracted from four times the reciprocal of a number, the result is 0.

To Find : The number ?

Solution :

Let the number be x.

The reciprocal of number is [tex]\frac{1}{x}[/tex]

[tex]\frac{1}{2}[/tex] is subtracted from four times the reciprocal of a number, the result is 0.

The equation will become,

[tex]4\times \frac{1}{x} - \frac{1}{2}=0[/tex]

Solving the equation we get,

[tex]\frac{4}{x} -\frac{1}{2}=0[/tex]

[tex]\frac{4}{x} = \frac{1}{2}[/tex]

[tex]x= 4\times 2[/tex]

[tex]x=8[/tex]

Therefore, the required number is 8.

For this case we must solve the following system of equations:

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

To solve we follow the steps below:

We multiply the second equation by -3:

[tex]-6x + 3y = 15[/tex]

Thus, we have the equivalent system:

[tex]3x-3y = -3\\-6x + 3y = 15[/tex]

We add the equations:

[tex]3x-6x-3y + 3y = -3 + 15\\-3x = -3 + 15\\-3x = 12\\x = \frac {12} {- 3}\\x = -4[/tex]

We look for the value of the variable "y":

[tex]2 (-4) -y = -5\\-8-y = -5\\-y = -5 + 8\\-y = 3\\y = -3[/tex]

Thus, the solution of the system is given by:

[tex](x, y): (- 4, -3)[/tex]

Answer:

[tex](x, y): (- 4, -3)[/tex]

Answer:

2/3

Step-by-step explanation:

Answer:

2/3 is the answer

Step-by-step explanation:

Answer:

[tex]\large\boxed{(-xy^4b^2)^4=x^4y^{16}b^8}[/tex]

Step-by-step explanation:

[tex](-xy^4b^2)^4\qquad\text{use}\ (ab)^n=a^nb^n\ \text{and}\ (a^n)^m=a^{nm}\\\\=(-1)^4(x)^4(y^4)^4(b^2)^4=1x^4y^{(4)(4)}b^{(2)(4)}=x^4y^{16}b^8[/tex]

[tex](-xy^{4} b^{2} )^{4}[/tex] can be written as  x⁴y¹⁶b⁸.

Procedures must be made simpler in order to attain uniformity in efforts, expenses, and time. Variety and variation that is unnecessary, damaging, and unproductive are eliminated.

Given an equation  [tex](-xy^{4} b^{2} )^{4}[/tex]  in this, we need to find a monomial in standard form which can be optimized after putting the power back at every variable. hence,

[tex](-xy^{4} b^{2} )^{4}[/tex]  =  (-x)⁴(y⁴)⁴ (b²)⁴

=   x⁴y¹⁶b⁸

Therefore,  a monomial in the standard form  [tex](-xy^{4} b^{2} )^{4}[/tex] is   x⁴y¹⁶b⁸.

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Answer:

Step-by-step explanation:

no but you are very close

you forgot to put the x next to the -4

because if you left it like that than it would be a horizontal line going through the y-axis at -4

the x is very important since it is the input value while y is the output

so y depends on the x

Answer:

[tex]\displaystyle YES[/tex]

Step-by-step explanation:

The equation you modeled here is [tex]\displaystyle y = -4x,[/tex]where the y-intercept and x-intercept are both located at the origin. This is what is called direct variation.

I am joyous to assist you anytime.

*Just attach the x to the equation because leaving it out would form a horizontal line [zero rate of change (slope)].