The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May it cost her $375 to drive 380 mi and in June it cost her $455 to drive 700 mi. (a) Express the monthly cost C as a function of the distance driven d, assuming that a linear relationship gives a suitable model. C(d)

Answer:

Step-by-step explanation:

(3g - 7)/k = p

3g - 7 = pk

3g = pk + 7

g = (pk + 7)/3

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \frac{4x}{(x + 2)(x - 2)}}}}}} [/tex]

Step-by-step explanation:

[tex] \sf{ \frac{1}{x + 2} + \frac{1}{x - 2} + \frac{2x}{ {x}^{2} + 4} }[/tex]

Use the formula of a² - b² = ( a + b ) ( a - b )

[tex] \longrightarrow{ \sf{ \frac{1}{x + 2} + \frac{1}{x - 2} + \frac{2x}{ {x}^{2} + {2}^{2} } }}[/tex]

[tex] \longrightarrow{ \sf{ \frac{1}{x + 2} + \frac{1}{x - 2} + \frac{2x}{(x + 2)(x - 2)}}} [/tex]

[tex] \longrightarrow{ \sf{ \frac{x - \cancel{2} + x + \cancel{ 2} + 2x}{(x + 2)(x -2 )} }}[/tex]

[tex] \longrightarrow{ \sf{ \frac{4x}{(x + 2)(x - 2)}} } [/tex]

Hope I helped!

Best regards! :D

Answer:

22cm and 16 1/2 cm is the answer

Write the ratio as a fraction and multiply with each dimension

If a photograph is 8cm by 6cm, the new dimensions after enlarging the photograph by a ratio of 11:4 would be: 22 cm by 16.5 cm.

Given the following measurement of a photograph:

To enlarge the photograph using a scale factor of 11:4 (11/4), multiply the scale factor by each of the dimensions.

Thus:

Therefore, if a photograph is 8cm by 6cm, the new dimensions after enlarging the photograph by a ratio of 11:4 would be: 22 cm by 16.5 cm.

Learn more here:

https://brainly.com/question/14248094

Answer:

4

Step-by-step explanation:

24÷(-4)+(-2)·(-5)

-6+(-2)·(-5)

-6+10

4

Answer:

length=16 and width = 8

Step-by-step explanation:

p= 2(length + width) ........ p= 48 m

width=length-8

48=2(length + length -8)

48= 2(2length -8)

48= 4 length-16

48 +16 = 4 length

[tex] \frac{64}{4} = length [/tex]

length =16

Width = length - 8

width = 16 - 8

width = 8

Hope u like it

For any question comment me

Answer:

4

Step-by-step explanation:

ik it

Answer:

The answer is 4

Step-by-step explanation:

The answer is 4 because i did it on khan and it was right.

Answer:

Step-by-step explanation:

4b - 16b + 12 = 48

-12b + 12 = 48

-12b = 36

b = -3

Answer:

2000

Step-by-step explanation:

Khan Academy :)

Answer:

2000

Step-by-step explanation:

bc

Answer:

$94.5

Step-by-step explanation:

What is 80% MORE than $52.50?

just multiply $52.50 by 1.80 = $94.5

why multiply by 1.80? ---- because we are adding 80% of 52.5 + the original price... that is why its 1.80.

Answer:

[tex]231[/tex]

Step-by-step explanation:

[tex]3 + jk + k {}^{3} = 3 + 2(6) + 6 {}^{3} = 3 + 12 + 216 = 231 [/tex]

Answer:

Step-by-step explanation:

[tex]3+jk+k^3\\\\j = 2\\k=6\\\\3+ 2(6) + 6^3\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:exponents}\:6^3\::\quad 216\\=3+2\left(6\right)+216\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:2\left(6\right)\::\quad 12\\=3+12+216\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:3+12+216\:\\:\quad 231[/tex]

Answer:

[tex]f^{-1}(x)=\frac{x+1}{6}[/tex]

Step-by-step explanation:

So we have the function:

[tex]f(x)=6x-1[/tex]

To find the inverse function, switch x and f(x), change f(x) to f⁻¹(x), and solve for f⁻¹(x). Therefore:

[tex]f(x)=6x-1[/tex]

Switch:

[tex]x=6f^{-1}(x)-1[/tex]

Add 1 to both sides:

[tex]x+1=6f^{-1}(x)[/tex]

Divide both sides by 6:

[tex]f^{-1}(x)=\frac{x+1}{6}[/tex]

And that's our answer :)

Answer:

4

Step-by-step explanation:

Answer:

Step-by-step explanation:

(d - 8)/5 = p

d - 8 = 5p

d = 5p + 8

Answer:

10

Step-by-step explanation:

Absolute value stands for how far away a number is from 0 on the number line. In this case it is 10 jumps away or 10. Not negative 10 because that wont make sense.

Answer:

10

Step-by-step explanation:

The lines around -10 are basically asking how far the number inside is from 0. This goes for any number, negative or positive.

Knowing that information, just ask yourself what's 10-0?

10.

Answer: 0.35km per minute

Step-by-step explanation:

Divide by 60 because it was in "km per HOUR".

Answer:

Hey there!

7-1-299-689+478*84588

7-1-299-689+40433064

40432082

Let me know if this helps :)

Answer:

40432082

Step-by-step explanation:

hopefully this helps

Answer:

34 units

Step-by-step explanation:

Given a rectangle TREC, with RC and ET being the diagonal both intersecting at the middle, then the following are true;

Let O be the point of intersection of RC and ET;

RO+OC = RC

Given the distance from point R to the middle as 2 x - 3, then RO = 2x-3 and if the distance from the middle point to point C is x + 7, then OC = x+7

Since they intersect in the middle, RO = OC

2x-3 = x+7

Collect like terms

2x-x = 7+3

x = 10

RO = 2x-3

RO = 2(10)-3

RO = 17

since RO = OC, then OC = 17units

Note that both diagonal RC and ET inyetsect at the middle O hence diagonal RC = ET = RO+OC

RC = ET = 17+17

RC = ET = 34units

Hence the length of ET is 34 units

Answer:

34 units

Step-by-step explanation:

EDGE 2020-2021

Answer:

The leading coefficient is 1 and the linear term coefficient is an even number

Step-by-step explanation:

Leading coefficient must be one for the application of completing square method. If the completing square is not one than we must apply other methods like Ac method, quadratic formula to solve the equation. To solve the equation with completing square the numerical value must be on other side of the equation. In this method we multiply linear term’s coefficient with one-half and square it therefore, completing square is suitable method for the equation having leading coefficient is 1 and linear coefficient is even.

Answer:

5x^4+3x^3-8x^2+3x-11

Step-by-step explanation:

(5x^4+ 3x^3 - 6) - (8x^2 – 3x+5)

Distribute the minus sign

(5x^4+ 3x^3 - 6) - 8x^2 + 3x-5

Combine like terms

5x^4+3x^3-8x^2+3x-11

Answer:

5x4 + 3x3 - 8x2 + 3x - 11

Step-by-step explanation:

(5x4 + 3x3 - 6) - (8x2 - 3x + 5)

Combine like terms:

-6 - 5 = -11

Put in order:

5x4 + 3x3 - 8x2 + 3x - 11

Hope this helps

Answer:

Step-by-step explanation:

-12+(-63)

=-12 - 63

= - 75

Hope this helps.. Good luck :)

Answer: 11u^3+2u^2−7u+15

Step-by-step explanation: Hope this helps.

Answer:

1000 millimeters

Step-by-step explanation:

Its the shortest one

Answer:

12

Step-by-step explanation:

Interquartile range (IQR) = third quartile (Q3) - first quartile (Q1)

From the box plot given, the first quartile is located at the beginning of the edge of the rectangular box = 73,

the third quartile is located at the other edge of the rectangular box to your right = 85

[tex] IQR = 85 - 73 = 12 [/tex]

Answer:

3 3/10

Step-by-step explanation:

Step 1: Convert 2 4/5 to improper

2 4/5 = 14/5

Step 2: Rewrite

14/5 + 1/2

Step 3: Find common denominator

14/5(2/2) + 1/2(5/5)

28/10 + 5/10

Step 4: Add

33/10

Step 5: Simplify

3 3/10

Answer:

3 3/10

Explanation:

2 4/5 + 1/2           [change 2 4/5 to an improper fraction]

14/5 + 1/2             [make both fractions have a common denominator]

28/10 + 5/10         [add the numerators, leave the denominator the same]

33/10                    [change back into mixed number]

3 3/10

Answer:

The minimum value = 4

The maximum value = 9

The first quartile, Q₁ = 6

The second quartile, (median) Q₂ =  7

The third quartile, Q₃ = 8

The box plot showing the above data is attached

Step-by-step explanation:

The given data set is 4, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 7.5, 7.5, 8, 8, 8.5, 8.5, 9

From the data, we have;

The minimum value = 4

The maximum value = 9

The first quartile, Q₁ = (n + 1)/4th term = (19 + 1)/4 = the 5th term = 6

The second quartile, (median) Q₂ = (n + 1)/2 term = (19 + 1)/2 = the 10th term = 7

The third quartile, Q₃ = 3×(n + 1)/4th term = 3×(19 + 1)/4 = the 15th term = 8

Please find the attached box plot as plotted on Excel.

Answer:

Step-by-step explanation:

From least to greatest: -10, -3, +1. From greatest to least: +1, -3, -10.

1st way: Just look at it.

2nd way: See which numbers are to the left of 0 on the number line. Those are your smaller (negative) numbers. The numbers that are on the right side of 0 are your bigger (positive) numbers.

Answer:

Order by value: On a number line, the integers to the left are less than the integers to the right. Order by magnitude: On a number line, the integers farther from zero have a greater magnitude. Least to greatest value: –10, –3, +1. Least to greatest magnitude: +1, –3, –10.

Step-by-step explanation:

Which did you include in your response? Check all that apply.

You can order by value.

You can order by magnitude.

Ordering from least to greatest value, the list is –10, –3, +1.

Ordering from least to greatest magnitude, the list is +1, –3, –10.

This is not a function. The input 7 in set A maps to outputs -1 and -3 at the same time in set B, which is why we don't have a function.

For a function to be possible, each input must map to exactly one output only.

Answer:

  6 servings

Step-by-step explanation:

To find the number of servings, divide the total amount by the quantity per serving.

You can compute this using a calculator:

  5.333/0.875 ≈ 6.095 ≈ 6 servings

__

Or, you can do the mixed-number math:

  (5 1/3)/(7/8) = (16/3)(8/7) = 128/21 = 6 2/21 ≈ 6

There were 6 servings in the container.

Answer:

6

Step-by-step explanation:

6 is the answer.

Answer:

[tex]\frac{1}{26}[/tex] inches

Step-by-step explanation:

In order to solve this problem, we need to create a ratio.

Since we're looking for the rate per hour, we need to find how long it is from 10pm to 7:45am.

10pm + 2 hours = 12 AM

12 AM + 7.75 hours = 7:45 AM

So in total, it's 9.75 hours.

[tex]\frac{3}{8}[/tex] is the same as 0.375.

Our fraction will become [tex]\frac{0.375}{9.75}[/tex], which can simplify down to [tex]\frac{1}{26}[/tex].

Now we can create the proportion:

[tex]\frac{1}{26}=\frac{x}{1}[/tex]

Now we solve for x by cross multiplying.

[tex]1\cdot1=1\\\\1\div26=\frac{1}{26}[/tex]

Hope this helped!