equation using the quadratic fromula for 0.05x^2 + 1.1x = 250

Answers

Answer 1

Answer:

x=60.56, x=-82.56

Step-by-step explanation:

Solve using quadratic formula

Formula is

[tex]x=\frac{-b+-\sqrt{b^2-4ac}}{2a}[/tex]

0.05x^2 + 1.1x = 250

Subtract 250 on both sides

0.05x^2 + 1.1x - 250=0

a= 0.05, b=1.1 , c=-250

Plug in the values in the formula

[tex]x=\frac{-1.1+-\sqrt{(1.1)^2-4(0.05)(-250)}}{2(0.05)}[/tex]

[tex]x=\frac{-1.1+-7.156116265}{0.1}[/tex]

Now make two equations , one with +  and one with -

then we solve for x

[tex]x=\frac{-1.1+7.156116265}{0.1}[/tex]

x=60.56

[tex]x=\frac{-1.1-7.156116265}{0.1}[/tex]

x=-82.56


Answer 2

The solutions for (x) are approximately [tex]\(x_1 \approx 47.5\) and \(x_2 \approx -549.5\).[/tex]

To solve the equation \(0.05x^2 + 1.1x = 250\) using the quadratic formula, follow these steps:

1. Identify the coefficients in the equation: \(a = 0.05\), \(b = 1.1\), and \(c = -250\).

2. Apply the quadratic formula: \[x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\]

3. Substitute the coefficients into the formula and calculate the solutions for \(x\).

The final answer will provide the values of \(x\) obtained from the quadratic formula.

1. Identify the coefficients:

  - \(a = 0.05\)

  - \(b = 1.1\)

  - \(c = -250\)

2. Apply the quadratic formula:

[tex]\[x = \frac{-1.1 \pm \sqrt{(1.1)^2 - 4 \cdot 0.05 \cdot (-250)}}{2 \cdot 0.05}\][/tex]

3. Calculate the solutions for \(x\):

[tex]\[x_1 = \frac{-1.1 + \sqrt{1.21 + 500}}{0.1} \approx 47.5\][/tex]

[tex]\[x_2 = \frac{-1.1 - \sqrt{1.21 + 500}}{0.1} \approx -549.5\][/tex]


Related Questions

select the equation which graphs to a line with a slope of 7
A.y=7
b.x=7
c.y=7x
d.x=7y
PLEASE EXPLAIN

Answers

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



3x-13=74 solve for x

Answers

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

Easy please help!

A rental company rents a luxury car at a daily rate of ​$37.68 plus​ $.25 per mile. Vanessa is allotted ​$120 for car rental each day. Write an equation to represent the cost C of renting a car and driving x miles. How many miles can Vanessa travel on the ​$120​?

Answers

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

Final answer:

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.

Explanation:

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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the builder measures the perimeter of the foundation to be 425 ft. he must order steel beams to install around the perimeter of the foundation. steel must be ordered in meters. how many meters of steel should the builder order ?

Answers

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".

Final answer:

The builder should order approximately 129.548 meters of steel.

Explanation:

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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There are 2 connected questions:

Two students can eat 4 doughnuts in 6 minutes. At this rate how many doughnuts will be eaten by 8 students in 9 minutes?

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


PLEASE EXPLAIN CLEARLY!! I'M CONFUSED

Answers

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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Shara brought 3 bags of chocolate candies for $1.25 each and 3 bags of gummy bears for $2.00 each. How much did she spend in all?

let M represent the money spent.

Equation:_____________

Another way of writing this is:

Shara spent_______ on candy.

Answers

Answer:

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

answer:9.75


Step-by-step explanation:


Plz help me - 5/8 as a decimal?

Answers

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

A point on the terminal side of an acute angle in standard position is (1, 2 √2). Find the cosine value of this angle.

1/3

1

2√2/3

2√2

Answers

Answer:

[tex]cos\theta=1/3[/tex]

Step-by-step explanation:

The point at the terminal side of an acute angle is given by [tex](1, 2\sqrt{2} )[/tex].

That is,

[tex]x = 1[/tex] and [tex]y= 2\sqrt{2}[/tex] .

Let r be the length of line segment drawn from the origin to the point and is given by the formula:

[tex]r = \sqrt{x^{2} + y^{2}}[/tex]

Substituting the values of x and y into r,

[tex]r = \sqrt{1^{2} + (2\sqrt{2} )^{2}}[/tex]

[tex]r = \sqrt{1 + 8}[/tex]

[tex]r = \sqrt{9}[/tex]

Thus, [tex]r=3[/tex]

Also, [tex]cos\theta[/tex] is given by:

[tex]cos\theta = x/r\\[/tex]

Substituting values of x and r,

[tex]cos\theta = 1/3\\[/tex]

You start with $200 in a checking account each month you withdraw $20. Write an equation to model the amount of money in the checking account

Answers

y=the amount of money in the checking account

x=number of months

y=200-20x

What is the total amount of sap the trees produced that day?

Answers

The answer is 5gallons

Answer:

It's 5 gallons! :3

Step-by-step explanation:

Joshua is making a calendar as a fund-raising project for math class. The cost of printing is $500 plus $2.50 per calendar. Joshua estimates that they math class will sell 200 calendars. What will the total cost be?

Answers

$1,000 because 2.50x200=500 500+500=1,000


[tex]2(8x - 7)[/tex]
how to do this

Answers

This is distributive property and to do distributive property, you distribute what is outside of the parenthesis to the numbers inside the parenthesis.

How-to-do:

2(8x-7)

2(8x) - 2(7)

16x-14


if you mean to simplify :

2(8x−7)

=(2)(8x+−7)

=(2)(8x)+(2)(−7)

=16x−14



Answer A and B remember to round your ans to the nearest hundredth!

Answers

Answer:

$4.11/hour

3.33 pages/minute

Step-by-step explanation:

37 / 9

= 4.11


10 / 3

= 3.33

A number line is shown. Which expression represents the distance between two points, X and Y, on the number line?

<--(-6)---(-4x)---(-2)---0---2-y-4--6-->

A.-4-3
B. -4+3
C. [-4-3]
D. [-4+3]

Answers

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.

Final answer:

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.

Explanation:

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.

A solution is 20% bleach. Which graph represents the number of liters of bleach, y, contained in x liters of solution?

Answers

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.

How do i calculate slope using this equation y = mx + b the coordinates i'm using are 63, 62 and 47,48. Note I'm using a scatter plot and i have to find the slope of it. Please give answer!

Answers

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:


please help its super easy!!!

Answers

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


I need help!!! Please hurryy

Answers

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

The fountain in the middle of a park is circular, with a diameter of 16 feet. There is a walkway that is 3 feet wide that goes around the fountain. What is the approximate area of the walkway?
A. 179 sq. ft.
B. 159 sq. ft.
C. 28 sq. ft.
D. 16 sq. ft

Answers

Answer:

A. 179 sq. ft.

Step-by-step explanation:

Area of walkway + fountain: (3.14)11^2=379.94 ft^2

Area of fountain: (3.14)8^2=200.96 ft^2

Area of walkway : 379.94-200.96=178.98 ft^2 which is also rounded to 179ft^2

                               

Answer:

If you use 3.14 as an approximation for PI, the answer will be A) 179 sq. feet.

Step-by-step explanation:

The process to determine the area of the sidewalk is computed by figuring the area of the outer circle (Diameter = 16' + 3' + 3') and subtracting the area of the fountain (Diameter = 16') from that.

Area of Circle = PI times Radius squared

Outer circle radius = (22 ft /2) = 11 ft

Area of outer circle (includes fountain area too) = 3.14 x 11 x 11 = 379.94 ~ 380

Inner circle radius = (16 ft / 2) = 8 ft

Area of Fountain = 3.14 x 8 x 8 = 200.96 ~ 201

Area of sidewalk =  380 - 201 =  179

Estimate with Percents 34% of 99 show ur work

Answers

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:


Given: If a parallelogram has 4 congruent sides, then it is a rhombus. 

Answers

Answer:

Yes

Step-by-step explanation:

A rhombus is a parallelogram with 4 congruent sides.

A cheese maker changes the temperature of her milk at a rate of negative -2 F Per minute what is the change in the temperature of the milk after 25 minutes

Answers

Answer:

-0.08 F

Step-by-step explanation:


simplify h(w)=6*2^(w-1)

Answer:
㏒₂(hw/6)=w-1

Answers

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


I NEED HELP!
I'll give brainlyest to the person who's right

Answers

Answer:

distributive

Step-by-step explanation:

the number out side the parenthesis, 3 in this case, is being distributed to the numbers inside the parenthesis

Answer:

I would say distributive property

Number 17 is B

Step-by-step explanation:

because your are multiplying 3 times 4 to get 12 and you are multiplying 3 times 3 to get 9


You add -3 to the first number to get the same exact number as the one to the right of -5

whats the answer to the problem ?

Answers

Answer:

could you give what the problem is



Step-by-step explanation:


Write down any rational number between 4 and 6

Answers

One rational number between 4 and 6 would be 5.


Helena deposited $89 into a saving account. According to the rule of 72 what interest rate will cause her money to double in approximately 38 years

Answers

89×2=89(1+r)^38
(89×2)/89=(1+r)^38
2=(1+r)^38
[tex] \sqrt[38]{2} = 1 + r[/tex]
r=0.018
Interest rate:1.8%
Final answer:

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

Explanation:

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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Solve for variable 2(3x+1)=11

Answers

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

-4/3x-6=-26

A. -27
B. -15
C. 15
D. 27

Answers

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

Algebra 1 I need help ASAP

Answers


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)

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