f(x) = 4x4 − 8x3 − 3x2 + 7x − 2 = (x + 1)(4x3 − 12x2 + 9x − 2) Based on the sythetic division shown, 1 2 is of the polynomial.

0.25x + 37.68 = C

[The company charges $0.25 per mile (x) plus $37.68, and C is the total amount of money/cost]

Vanessa has $120 [total amount of money she is given per day],

Since this is the total amount of money she has/can pay with, you can plug in 120 for C

0.25x + 37.68 = 120     Subtract 37.68 on both sides

0.25x = 82.32        Divide 0.25 on both sides

x = 329.28

Vanessa can travel 329.28 miles on the $120

The equation representing the cost of renting a car is C = 37.68 + 0.25x. Setting this equation equal to Vanessa's budget of $120 and solving for x, we find that Vanessa can travel about 329 miles on her budget.

The cost of renting a car for a day can be represented by the equation C = 37.68 + 0.25x, where 'C' is the total cost and 'x' is the number of miles driven. Vanessa has $120 allotted for each day. Therefore to find out how many miles she can travel, we can set the equation equal to 120 and solve for 'x'.

So, 120 = 37.68 + 0.25x

Subtract 37.68 from both sides to isolate the term with 'x'.

82.32 = 0.25x

Finally, divide both sides by 0.25 to solve for 'x'.

x = 329.28

Therefore, Vanessa can travel approximately 329 miles on $120.

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Answer:

C. 15

Step-by-step explanation:

-4/3x-6=-26

The first step is to add 6 to each side

-4/3x-6+6=-26+6

-4/3x =-20  

Now multiply by -3/4 to isolate x.

-3/4 * -4/3x = -3/4 * -20

x = 60/4

x = 15

Answer: Choice D (lower right corner)

If we have x = 0 liters of solution, then we have y = 0.20*x = 0.20*0 = 0 liters of bleach. Therefore the point (0,0) is on the graph.

The point (10,2) is also on the graph because x = 10 leads to y = 0.20*x = 0.20*10 = 2; meaning 10 liters of solution points to 2 liters of bleach.

The only graph that has both points (0,0) and (10,2) is choice D in the lower right corner.

Answer:

Option c is correct.

Equation with slope of 7 is; [tex]y =7x[/tex]

Step-by-step explanation:

The Equation of line is in the form of :

[tex]y =mx[/tex]                 .....[1]

where

m represents the slope of the line.

x represents the variable.

Given : The slope of a line is 7

m = 7

substitute the value of m =7 in [1];

[tex]y = 7x[/tex]

Therefore, the equation of line which graphs to a line with a slope of 7 is, y =7x

Answer:

Equation: 3(1.25) + 3(2.00)=M

answer:9.75

Step-by-step explanation:

Divide both sides by 2

3x + 1 = 11/2

Subtract 1 from both sides

3x = 11/2 - 1

Simplify 11/2 - 1 to 9/2

3x = 9/2

Divide both sides by 3

x = 9/2/3

Simplify 9/2/3 to 9/2 × 3

x = 9/2 × 3

Simplify 2 × 3 to 6

x = 9/6

Simplify 9/6 to 3/2

x = 3/2

Answer: log₂[tex](\frac{h(n)}{6})[/tex] + 1 = n

Step-by-step explanation:

h(n) = 6 * 2ⁿ⁻¹

÷6     ÷6          

[tex]\frac{h(n)}{6}[/tex] = 2ⁿ⁻¹

log₂[tex](\frac{h(n)}{6})[/tex] =  log₂(2ⁿ⁻¹)  →→log₂2 cancels out

log₂[tex](\frac{h(n)}{6})[/tex] = n - 1

log₂[tex](\frac{h(n)}{6})+1[/tex] = n

It all depends on the value of x. Remember that x must be greater than or equal to 2 or else the number under the square root sign will be negative, which will result in a complex number. The domain is 2<=x and the range is 0<=x.

Graphing it looks like this:

The function h(x) = square root x-2 is a square root function that takes the input x, subtracts 2 from it, and then takes the square root of the result.

The function h(x) = √(x-2) represents a square root function. It takes the input x and subtracts 2 from it, and then takes the square root of the result. The function can be graphed as a curve that starts at (2, 0) and increases as x gets bigger. For example, if we plug in x = 4, h(4) = √(4-2) = √2.

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Answer:

9.106

Step-by-step explanation:

The circumference of a circle with a given diameter is: [tex]C=\pi d[/tex]

We are given the diameter of 2.9 units.

Using 3.14 for pi:

[tex]C=3.14 * 2.9\\\\\boxed{C=9.106}[/tex]

The circumference is about 9.106 units.

Answer:

To find slope you have to do rise over run. Use a graphing calculator such as desmos, and enter those cords. Find your y-intercept then see how much up and to the side you can go until hitting a point

Step-by-step explanation:

Answer:

could you give what the problem is

Step-by-step explanation:

Answer:

-0.625

Step-by-step explanation:

Given that a fraction negative in value with numerator -5 and denominator 8.

We have to convert this into decimals.  For that we add as many zeroes after decimal point after 5 and divide with 8.  The quotient what we get is value of the fraction.

To find in decimals, let us divide 5 by adding zeroes to the right

8)5.00000{0.625

  4.8

-------

     20

     16

--------

      40

      40

  ------

      0

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

Hence in decimal form the fraction -5/8 = -0.625

Answer:

x=29

Step-by-step explanation:

3x-13=74

We want to solve for x, so we need to isolate it.

The first step is to add 13 to each side.

3x-13+13=74+13

3x = 87

Then we divide by 3 on each side

3x/3 = 87/3

x= 29

Answer:

This is an obtuse scalene triangle.

Step-by-step explanation:

This is an obtuse triangle.  An obtuse triangle has an angle greater than 90 degrees.  It is also a scalene triangle because none of the sides are equal.

Answer:

Yes

Step-by-step explanation:

A rhombus is a parallelogram with 4 congruent sides.

Answer:

Alright well simplify the expression

33.66 Why???

Well write the problem as a mathematical expression

34% 99

Convert 30% to decimal

0.34 and 99

Multiply 0.34 by 99 which gives you

33.66 Hope this helps have a nice day :)

Step-by-step explanation:

Answer:

(x ÷ 8) + 3/4 ≥ -1/4

Step-by-step explanation:

Let "x" be a number.

The quotient of "x" and eight means   x÷8

It is increased by 3/4

(x ÷ 8) + 3/4

The expression is at least -1/4

Here "at least" represents ≥

Therefore, (x ÷ 8) + 3/4 ≥ -1/4

Thank you.

Answer:

f(-3) = 6

Step-by-step explanation:

f(-3) is looking at the graph and determining the value of y at x=-3

We go over 3 to the left to x=-3 and go up 6 units to y= 6

f(-3) = 6

Answer: C. |-4 - 3|

Step-by-step explanation:

x = -4

y = 3

The distance between them is the difference. The mathematical operation for difference is subtraction.

Distance is a unit of measurement. Measurements cannot be negative so the absolute value sign is used to ensure the difference is positive.

The correct expression representing the distance between two points, X and Y, on a number line is D. [-4+3], which uses the absolute value to ensure a positive distance.

The distance between two points X and Y on a number line can be calculated as the absolute value of the difference between their coordinates. In this case, the coordinates of X and Y are not provided, but we know we are looking for an expression that shows a positive distance regardless of whether X is to the left or to the right of Y on the number line. Therefore, we need the absolute value to ensure we get a non-negative result, which correctly represents the concept of distance.

Distance on a number line is given by the formula “|X - Y|”, which yields the magnitude of the difference between two points without considering direction, making it a positive number. Hence, the expression that represents the distance between two points, X and Y, on the number line in the provided options is D. [-4+3].

Using the provided expressions, [-4+3] means taking the absolute value of the result of “-4+3”, which indeed gives us the distance of 1 between the two points, since |-4+3| = |-1| = 1.

Answer:

5 15/22  hours

5.6818 hours

Step-by-step explanation:

Distance is equal to the rate times the time

D = rt

We know the rate = 88 km/hr and the distance = 500 km

Substitute these in

500 = 88 *t

Divide each side by 88

500/88 = 88t/88

5 15/22  hours

5.6818 hours

Final answer:

To find out how much dressing remains in the jar, subtract the amount of dressing poured onto the salad from the total amount of dressing made.

Explanation:

To find out how much dressing remains in the jar, we need to subtract the amount of dressing poured onto the salad from the total amount of dressing made.

Dakota combines 6 1/3 fluid ounces of oil and 2 3/8 fluid ounces of vinegar, which gives us a total of 8 17/24 fluid ounces of dressing.

She pours 2 1/4 fluid ounces of the dressing onto her salad. To find out how much dressing remains, we need to subtract 2 1/4 from 8 17/24. Converting the fractions to a common denominator, we have (55/24) - (9/4) = 46/24 - 9/4 = 37/24. This means that 37/24 fluid ounces of dressing remain in the jar.

Find the depth of the river at 9 hours and 18 hours by seeing where the line is on the Y axis.

At 9 hours the river is 18 feet deep

At 18 hours the river is 21 feet deep.

The average rate of change is the change in Y over the change in X

The Y is the depth and the X is the time:

(21-18) / (18-9) = 3/9 = 1/3 = 0.33

The average rate of change is 0.3 foot per hour. ( Rounded to nearest tenth)

Answer:

19 cents per ounce

Step-by-step explanation:

$1 = 100 cent

Amount of corn flakes = 24 oz

Cost of corn flakes = $4.59 = 459 cents

Cost per ounce = 459/24 =19.125 = 19 cents/ ounce

∴ The cost of corn flakes is 19 cents per ounce.

Answer:

The builder should order 129.54 meters of steal.

Step-by-step explanation:

I just went on google and typed in "ft. to meters converter".

The builder should order approximately 129.548 meters of steel.

To convert from feet to meters, we need to know the conversion factor. 1 foot is approximately equal to 0.3048 meters. So, we can use this conversion factor to convert the perimeter from feet to meters.

Perimeter in meters = Perimeter in feet * Conversion factor

Perimeter in meters = 425 ft * 0.3048 m/ft

Perimeter in meters = 129.548 m

The builder should order approximately 129.548 meters of steel.

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Answer:

A. 23 cm3

Step-by-step explanation:

V= mass ÷ density

12 g/cm3 is the density

276g is the mass.

So, 276 ÷ 12

= 23 cm3

Answer: 14 cm3

Step-by-step explanation:

well, 1/7th of the cupcakes is 3. so 2/7ths makes 6. and 21 minus 6 is 15. So, your answer is 15.

Answer:

1/7th of the cupcakes is 3. so 2/7ths makes 6. and 21 minus 6 is 15. So, your answer is 15.

Hope this helps

The interest rate that will cause Helena's money to double in approximately 38 years is approximately 1.89%.

An interest rate is the percentage at which interest is charged or paid on a loan, investment, or financial instrument over a specified period. It represents the cost of borrowing money or the return on invested capital. Interest rates are set by financial institutions, central banks, and market forces and influence economic activity. They can be calculated by the rule of 72 as well.

To find the interest rate that will cause Helena's money to double in approximately 38 years, we can use the rule of 72. The rule of 72 states that by dividing 72 by the interest rate, we can estimate the number of years it takes for an amount to double. In this case, if we divide 72 by 38, we get an interest rate of approximately 1.89%.  Therefore, an interest rate of approximately 1.89% will cause Helena's money to double in approximately 38 years.

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Answer:

6 monkeys

Step-by-step explanation:

8 monkeys eat 8 bananas in 8 mins---how many monkeys eat 6 bananas in 6 mins?

that means each monkey takes 1 min for one bananer so i think 6 monkeys

24 Doughnut will be eaten by 8 students in 9 minutes. 8 monkeys will eat 6 bananas in 6 mins.

Given,

Two students can eat 4 doughnuts in 6 minutes.

On taking time constant (say 6 min), 2 student eat 4 doughnuts,

So 1 student eat 2 doughnuts each in 6 minutes.

So, in 1 minute doughnut eaten by 1 student will be  [tex]\frac{2}{6}[/tex].

So, in 9 minute doughnut eaten by 1 student will be [tex](\frac{2}{6} \times 9=3)[/tex]

Finally, in 9 minute doughnut eaten by 8 student  will be [tex](3\times 8=24)[/tex].

Hence 24 Doughnut will be eaten by 8 students in 9 minutes.

Similarly,

Since 8 monkeys eat 8 bananas in 8 mins.

On taking time constant, 8 monkeys eat 8 bananas.

So, 1 monkey eat 1 banana in 8 min.

So, in 1 min 1 monkey will eat [tex](\frac{1}{8} )[/tex] banana.

So, 1 banana will be eaten by 8 monkeys in 1 min.

So, 6 banana will be eaten by [tex](8\times 6=48)[/tex] monkeys in 1 min.

Finally, the number of monkeys required to  eat 6 bananas in 6 min will be,

[tex]\dfrac{48}{6} =8[/tex].

Therefore 8 monkeys will eat 6 bananas in 6 mins.

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To solve this problem, we first need to figure out how much tax will be applied to Neil's purchase.  To do this, we need to multiply the tax rate (5%) by the cost of the washing machine ($445).  But, we can't multiply percentages unless we change them to decimal form first.  To do this, we need to divide the percentage by 100 (because 5 percent is a fraction out of a  total 100 percent) or move the decimal point two spots to the left.  This gives us the following:

0.05 * 445

If we compute this expression, we get:

$22.25

This means that Neil will be charged $22.25 in tax.  However, the question asks for the total cost including tax, so we must add the original cost of the washing machine to the tax.  

$445 + $22.25 = $467.25

Therefore, your answer is $467.25.

Hope this helps!