Joshua is planning to make a large consumer purchase. If the item costs x dollars in his home state of West Virginia, where the tax rate is 6%, the function f(x) = 0.06x + x represents his total costs. Write a function g(x) to represent Joshua’s total costs if he decides to make the purchase in his neighboring state of Virginia, where the tax rate is 5%. How will the graph of g(x) differ from f(x)?

Answer:

The length of side of cube ranges between 8cm and 9cm as the given surface area is acquired when length of side of cube is 8.07 cm

Option C is correct.

Step-by-step explanation:

If the surface area of a cube is 390 cm,  then which best describes the length of the  side of the cube?

Surface area of cube = 390 cm

The formula used to find surface area of cube is: [tex]Surface area = 6a^2[/tex]

where a is the length of side of cube.

If length of side of cube = 7 cm, the surface area of cube = 294 cm

If length of side of cube = 8 cm, the surface area of cube = 384 cm

Now, if length of side of cube = 8.07 cm (found using calculator, by putting different values in the formula)

We get surface area of cube = 390 cm

So, The length of side of cube ranges between 8cm and 9cm as the given surface area is acquired when length of side of cube is 8.07 cm

Option C is correct.

Answer:

1.5 hours

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Aya and Mary distance = 12 miles

Let, meeting point from Aya = Z miles

So, Aya covers Z miles to reach Mary.

Hence, Mary covers (12 - Z ) miles to reach Aya

Here, Time = [tex]\frac{Distance}{Speed}[/tex]

Aya = [tex]\frac{Z}{5}[/tex]

Mary = [tex]\frac{12-Z}{3}[/tex]

If, same time taken, then we can solve by following method,

[tex]\frac{Z}{5} = \frac{12-Z}{3}[/tex]

By solving the equation, we get

Z = 60 ÷ 8

Or Z = 7.5 miles

Hence, time taken for both to meet = 7.5 ÷ 5

= 1.5 hours

Answer:

y=1/4x +c

Step-by-step explanation:

2=-1+c

3=c

The equation of line passes through the point (-4, 2) will be;

⇒ y = 1/4x + 3

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The point on the line are (-4, 2).

And, The parallel line is,

⇒ y = 1/4x + 1

Now,

Since, The equation of line passes through the point (- 4, 2).

So, We need to find the slope of the line.

Since, The slope of the parallel line is same.

Hence, Slope of the line is,

y = 1/4x + 1

m = dy/dx = 1/4

m = 1/4

Thus, The equation of line with slope 1/4 is,

⇒ y - 2 = 1/4 (x - (-4))

⇒ y - 2 = 1/4 (x + 4)

⇒ y - 2 = 1/4x + 1

⇒ y = 1/4x + 1 + 2

⇒ y = 1/4x + 3

Therefore, The equation of line passes through the point (-4, 2) will be;

⇒ y = 1/4x + 3

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Answer:

X=6

Step-by-step explanation:

2x-3/3=X/2

or, (2x-3)×2= 3x ( cross multiplication )

or, 4x-6=3x

or,4x-3x=6

... 1x=6

hence ...... x=6

Answer:

r = 9

Step-by-step explanation:

2 ( r - 1 ) + 3 = 19

2r - 2 = 19 - 3

2r - 2 = 16

2r = 16 + 2

2r = 18

r = 9

Answer:

24.8

Step-by-step explanation:

180-117.6 = 62.4

62.4 = 2x + 12.8

- 12.8         -12.8

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

49.6 = 2x

 /2       /2

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

x = 24.8

Answer:

6 buses

Step-by-step explanation:

138 students / 23 students per bus = 6 buses

Answer:

they'll need 6 buses

Step-by-step explanation:

138 students divided by 23 leads for 6 buses needed

Answer:

43/18

Step-by-step explanation:

Answer:

10+11g

Step-by-step explanation:

Answer:

The first answer is -2x^2-12x-19

The second answer is 2x^2+12x+17

Step-by-step explanation:

You can calculate the vertex of each one by using the formula -b/2a =x and then plugging that in for x to find y but that's a lot of work so I just plugged them into desmos

Answer:

372.33

Step-by-step explanation:

Cameron earns $0.45 for every mile he drives. He drove 827.4 miles on his last route. Multiply to find how much money he earned.

First, multiply a related set of whole numbers. Find 8,274×45. Now, count the number of decimal places in the factors. There is one decimal place in 827.4 and two decimal places in 0.45. The factors have three decimal places in all, so move the decimal point three places to the left in your answer.

372,330. → 372.330

Cameron earned $372.33 on his last route.

FORGIVE ME IF THIS IS WRONG

Cameron will earn $372.33 for driving  827.4 miles on his last route.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, Cameron drives a semi-truck for Haulin' Harry's Trucking Company. He earns $0.45 for every mile he drives.

∴ He will earn $(0.45×827.4) = $372.33 for driving  827.4 miles on his last route.

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Answer:

67.5cm^2

Step-by-step explanation:

area of a triangle is 0.5xaxb

answer : 54cm^2

pythagorus’ theorum : a^2 + b^2 = c^2

so 9^2 + x^2 = 15^2, x being the missing length

work out x ...

81 + x^2 = 225

x^2 = 144

x = 12

area of a triangle : 0.5 x base x height

so 0.5 x 9 x 12 = 54

Answer:

(4x−5)(x−4)

Step-by-step explanation:

Knowing how to factor is very important and while it is a lot to explain I would be happy to. just let me know

I got (4x−5)(x−4)

Answer:

82.5% = 66/80

Answer:

$3.25 per cone

Step-by-step explanation:

$22.75/7 =3.25

Answer:

3.25

Step-by-step explanation:

Answer:

like y⁵×y ?

Step-by-step explanation:

is that what your asking?

Answer:

i think its 115.6 ft

Step-by-step explanation:

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

Explanation:

x = number of minutes

y = amount of grain left over, in cubic meters

We can abbreviate "cubic meters" into "m^3" without quotes of course.

The silo holds 2000 m^3 of grain. This is the initial value, so it is the y intercept. This means b = 2000. If the silo wasn't completely full, then we'd have to use a different initial value.

The slope is -9 because the amount of grain decreases by 9 cubic meters per minute. We can think of it like

slope = rise/run = (change in y)/(change in x)

slope = (change in grain)/(change in time)

Saying slope = -9/1 means the change in grain is -9 m^3 and the change in time is 1 minute.

Because the slope is -9, we say that m = -9

Therefore, we go from y = mx+b to y = -9x+2000

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

Note how plugging x = 0 into the equation leads to

y = -9x+2000

y = -9*0+2000

y = 0 + 2000

y = 2000

Showing that after 0 minutes, aka at the start, we have 2000 m^3 of grain.

Then at the x = 1 minute mark, we have...

y = -9x+2000

y = -9*1+2000

y = -9+2000

y = 1991

Showing that the silo lost 9 m^3 of grain since 2000-1991 = 9.

The graph y = -9x+2000 is a straight line that goes through the two points (0,2000) and (1,1991).

efseegbszgea

Step-by-step explanation:

Answer:

no solution

Step-by-step explanation:

Given

6(x - 4) = 6x + 4 ← distribute left side

6x - 24 = 6x + 4 ( add 24 to both sides )

6x = 6x + 28 ( subtract 6x from both sides )

0 = 28 ← not possible

This indicates the equation has no solution

Answer:

-21, -18. -15, -12, -9, -6, -3, 0, 3, 6, 9, 12, 15, 18

Step-by-step explanation:

Answer:

[tex]y < - \frac{3}{2} [/tex]

Step-by-step explanation:

1. Simplify -6+7 to 1.

[tex] - 4y - 5 > 1[/tex]

2. Add 5 to both sides.

[tex] - 4y > 1 + 5[/tex]

3. Simplify 1+5 to 6.

[tex] - 4y > 6[/tex]

4. Divide both sides by -4.

[tex]y < - \frac{6}{4} [/tex]

5. Simplify 6/4 to 3/2.

[tex]y < - \frac{3}{2} [/tex]

Therefor, the Answer is,

[tex]y < - \frac{3}{2} [/tex]

Answer:

No y intercept! It's a vertical line. x= -1 though. (I think)

Step-by-step explanation:

radius is always half the length of its diameter. For example, if the diameter is 4 cm, the radius equals 4 cm ÷ 2 = 2 cm.

2 times the radius is the circle's diameter.

The formula is simply this: C = πd. In this equation, "C" represents the circumference of the circle, and "d" represents its diameter. That is to say, you can find the circumference of a circle just by multiplying the diameter by pi.the formula for circumference of a circle is 2 x pi x r(radius).

Answer:

90

Step-by-step explanation:

6300/70=90

Answer: 28°

Step-by-step explanation:

Add 79+73 and subtract from 180°