So far, Charlie has driven 9.3 miles. He needs to drive a total of 29 miles. How many more miles must Charlie drive?

Answer:

step by step

STEP

1

:

Equation at the end of step 1

((((3•(m3))+5m2)-5m)+1)

(———————————————————————•m)-1

3

STEP

2

:

Equation at the end of step

2

:

(((3m3+5m2)-5m)+1)

(——————————————————•m)-1

3

STEP

3

:

3m3 + 5m2 - 5m + 1

Simplify ——————————————————

3

Checking for a perfect cube :

3.1 3m3 + 5m2 - 5m + 1 is not a perfect cube

Trying to factor by pulling out :

3.2 Factoring: 3m3 + 5m2 - 5m + 1

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: -5m + 1

Group 2: 5m2 + 3m3

Pull out from each group separately :

Group 1: (-5m + 1) • (1) = (5m - 1) • (-1)

Group 2: (3m + 5) • (m2)

Bad news !! Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

3.3 Find roots (zeroes) of : F(m) = 3m3 + 5m2 - 5m + 1

Polynomial Roots Calculator is a set of methods aimed at finding values of m for which F(m)=0

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers m which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient

In this case, the Leading Coefficient is 3 and the Trailing Constant is 1.

The factor(s) are:

of the Leading Coefficient : 1,3

of the Trailing Constant : 1

Let us test ....

P Q P/Q F(P/Q) Divisor

-1 1 -1.00 8.00

-1 3 -0.33 3.11

1 1 1.00 4.00

1 3 0.33 0.00 3m - 1

The Factor Theorem states that if P/Q is root of a polynomial then this polynomial can be divided by q*x-p Note that q and p originate from P/Q reduced to its lowest terms

In our case this means that

3m3 + 5m2 - 5m + 1

can be divided with 3m - 1

Polynomial Long Division :

3.4 Polynomial Long Division

Dividing : 3m3 + 5m2 - 5m + 1

("Dividend")

By : 3m - 1 ("Divisor")

dividend 3m3 + 5m2 - 5m + 1

- divisor * m2 3m3 - m2

remainder 6m2 - 5m + 1

- divisor * 2m1 6m2 - 2m

remainder - 3m + 1

- divisor * -m0 - 3m + 1

remainder 0

Quotient : m2+2m-1 Remainder: 0

Trying to factor by splitting the middle term

3.5 Factoring m2+2m-1

The first term is, m2 its coefficient is 1 .

The middle term is, +2m its coefficient is 2 .

The last term, "the constant", is -1

Step-1 : Multiply the coefficient of the first term by the constant 1 • -1 = -1

Step-2 : Find two factors of -1 whose sum equals the coefficient of the middle term, which is 2 .

-1 + 1 = 0

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Equation at the end of step

3

:

(m2 + 2m - 1) • (3m - 1)

(———————————————————————— • m) - 1

3

STEP

4

:

Equation at the end of step 4

m • (m2 + 2m - 1) • (3m - 1)

———————————————————————————— - 1

3

STEP

5

:

Rewriting the whole as an Equivalent Fraction

5.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 3 as the denominator :

1 1 • 3

1 = — = —————

1 3

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

5.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

m • (m2+2m-1) • (3m-1) - (3) 3m4 + 5m3 - 5m2 + m - 3

———————————————————————————— = ———————————————————————

3 3

Polynomial Roots Calculator :

5.3 Find roots (zeroes) of : F(m) = 3m4 + 5m3 - 5m2 + m - 3

See theory in step 3.3

In this case, the Leading Coefficient is 3 and the Trailing Constant is -3.

The factor(s) are:

of the Leading Coefficient : 1,3

of the Trailing Constant : 1 ,3

Let us test ....

P Q P/Q F(P/Q) Divisor

-1 1 -1.00 -11.00

-1 3 -0.33 -4.04

-3 1 -3.00 57.00

1 1 1.00 1.00

1 3 0.33 -3.00

3 1 3.00 333.00

Polynomial Roots Calculator found no rational roots

Final result :

3m4 + 5m3 - 5m2 + m - 3

———————————————————————

3

Terms and topics

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Answer: I do believe its A.

Tho I advise you plug it into Midpoint Calculator (Free math website) just to be sure.

Happy Holidays and Good luck

Answer:

1.

( n + 4 ) - 9

- n - 4 - 9

- n - 13

2.

40 = x - 1

- x = - 1 + 40

- x = 39

Step-by-step explanation:

I duno if this is right...

Answer:

x > 19

Step-by-step explanation:

Answer:

m ≤ -19

Step-by-step explanation:

81 ≥ 100 - m

-100  -100

-19 ≥ m

or

m≤-19

hope this helps!!!

1 Remove parentheses.

3d-2=d+5

2 Add 22 to both sides.

3d=d+5+2

3 Simplify  d+5+2  to  d+7.

3d=d+7

4 Subtract d from both sides.

3d-d=7

5 Simplify  3d-d to  2d.

2d=7

6 Divide both sides by 2.

7/2=d

7 Flip sides.

d=7/2

(Optional decimal form)

d=3.5

So 7/2 or 3.5

Answer:

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line

Step-by-step explanation:

Answer:

How steep a line is.

Ex: the slope of 3/5 = 0.6

Look at the image for example

Answer:

1/9a

Step-by-step explanation:

i used math.way lm.ao hope it helps

Answer: w=−4

Step-by-step explanation:

hoped this helped

Answer:

[tex]y=-\frac{5}{3}x+20[/tex]

Here, m=-5/3, and b=y-intercept=20

Here, the y-intercept is: 20

Thus, option (d) is true.

Step-by-step explanation:

Given the equation

[tex]y=\frac{3}{5}x+10[/tex]

comparing the equation with the slope-intercept form

[tex]y=mx+b[/tex]

Here,

so the slope of the line is 3/5.

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so

The slope of the perpendicular line will be: -5/3

Therefore, the point-slope form of the equation of the perpendicular line that goes through (15,-5) is:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-\left(-5\right)=\frac{-5}{3}\left(x-15\right)[/tex]

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

simplifying the equation to convert it into the slope-intercept form

We know that the slope-intercept form of the line equatio is

[tex]y=mx+b[/tex]

here 'm' is the slope and 'b' is the y-intercept

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

subtract 5 from both sides

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

[tex]y=-\frac{5}{3}x+20[/tex]

Here, m=-5/3, and b=y-intercept=20

Here, the y-intercept is: 20

Thus, option (d) is true.

Answer: [tex]\dfrac{7}{12}[/tex] .

Step-by-step explanation:

To find : Ratio of 0.14 quarts to 0.24 quarts.

In fraction it will be

[tex]\dfrac{\text{0.14 quarts}}{\text{0.24 quarts}}\\\\=\dfrac{14}{24}\ \ \ \ \\\\=\dfrac{7}{12}\ \ \ \ \ [\text{Divide numerator and denominator by 2}][/tex]

= 7:12

Hence, the required fraction = [tex]\dfrac{7}{12}[/tex] .

Answer:

94.248 feet

1,131.0 inches

94′ 3″ feet and inches

28.727 meters

2,872.7 centimeters

Step-by-step explanation:

Answer:

$20.75

Step-by-step explanation:

The answer is $21.50

Explain:

$8.60 / 4 = $2.15

$2.15 x 10 = $21.50

Could I have brainliest?

Answer:

y= 3x

Step-by-step explanation:

Because between each point your going up by 3

Hope this helps you

Answer:

y = 3x

Step-by-step explanation:

This is dealing with slope so think of it as rise over run

[tex]\frac{Rise}{Run}[/tex]

The y intercept is a 0 so you don't have to worry about adding a number after the plus symbol. You can if you want but that's not an option. You go up 3 over 1 and then you get to your next point.

Answer:

Log7(1/49)=x  The first one

Step-by-step explanation:

I can't really explain how but hopeful this help

Answer:

150

Step-by-step explanation:

To find out how much it spins in one hour do 360 divided by 24= 15, and you need to find how much it spins in 10 hours so do 15 x 10=150

Answer:

150 degrees.

Step-by-step explanation: Just divide 360 by 24 then times by 10.

Answer: -6

Step-by-step explanation:

since they are both negative, they both will add up to be -6

Answer:

B

Step-by-step explanation:

Hope this helped you!!

Answer:

the number 8

Step-by-step explanation:

Answer:

f(-2) = -4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 3x + 2

f(-2) is x = -2

Step 2: Evaluate

Answer    4

Step-by-step explanation:

3(-2)= -6

-6+2= -4

Answer:

the answer is 54

Step-by-step explanation:

48 / 4 is 12, so then divide that by 2 so they split equally because theirs combined added to 48, so 6.

6 * 9 is 54

Answer:

The answer is 315 inches

Step-by-step explanation:

180+75%

Answer:315

Step-by-step explanation:

Answer:

Equation for the problem

3x + 15 = 51 laps

Hence

She swims on

Monday: 12 laps

Wednesday : 12 laps

Friday = 12 laps

Step-by-step explanation:

Ella swims four times a week at her club's pool.

We are told that:

She swims the same number of laps on Monday, Wednesday, and Friday.

Hence, the number rod times that she swims on Monday, Wednesday and Friday is represented by x

Also, she swims 15 laps on Saturday. She swims a total of 51 laps each week. Equation for the problem

= x + x + x + 15 = 51 laps

3x + 15 = 51 laps

Hence

3x = 51 - 15

3x = 36

x = 36/3

x = 12 laps

Therefore, She swims on:

Monday: 12 laps

Wednesday : 12 laps

Friday = 12 laps

Answer:

100

Step-by-step explanation:

20 times 5

Answer: (-7,3)

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

kyle has got 1/4 of your laundry xD

Step-by-step explanation:

laundry=1

3/4=1 person

1-3/4=1/4

so 1/4=kyle

Answer:

Kyle has 1/4 of the laundry.

Step-by-step explanation:

If one person has 3/4 that means there is 1/4 left.

 So, Kyle has 1/4 left to do.

Answer:

y=17/5 ,x= 38

Step-by-step explanation:

-4+5y =13 add 4 both side

4-4+5y=13+4

5y=17

5y/5=17/5 y=17/5

x-5y=21

x-5(17/5)=21

x-17=21

x=21+17= 38

Answer: Right and isosceles