MATHEMATICS HIGH SCHOOL

Solve for the roots in simplest form using the quadratic formula: 4x2+20x=-29

Answers

Answer 1
Answer:

To solve the quadratic equation 4x^2 + 20x = -29 using the quadratic formula, we can first rearrange the equation to bring all terms to one side:

4x^2 + 20x + 29 = 0

Now we can identify the coefficients a = 4, b = 20, and c = 29 in the general quadratic equation ax^2 + bx + c = 0. Applying the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

Substituting the values for a, b, and c into the quadratic formula:

x = (-(20) ± √((20)^2 - 4(4)(29))) / (2(4))

Simplifying further:

x = (-20 ± √(400 - 464)) / 8

x = (-20 ± √(-64)) / 8

x = (-20 ± 8i) / 8

Now, we can simplify the expression:

x = -20/8 ± (8i)/8

x = -5/2 ± i

Therefore, the roots of the given quadratic equation are:

x = -5/2 + i

x = -5/2 - i

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Brian claims that he can eat a pie that is divided into six equal pieces In two minutes.If he can eat the whole pie in two minutes, how long does he have to eat each piece
Which of the following is the equation of a line parallel to the line y=3x+2, passing through the point (10,1)?A. 3x - y=29 B. 3x + y=29 C. -3x-y=29 D. 3x + y=29

Divide. (12t^6 - 8t^8) / (2t^3)A.
6t^3 - 8t^8

B.
12t^6 - 4t^5

C.
6t^2 - 8t^4

D.
6t^3 - 4t^5

Answers

(12t^6-8t^8) ÷ (2t^3)

= (6t^3-4t^5)

so the answer is (D)

Find the vertex of the function.

Answers

Answer:

Step-by-step explanation:

the vertex of the function is (-2, -1)

You are a restaurant manager and are responsible for ordering ingredients for the restaurant at supplier number one you can purchase 20 gallons of milk for $70 at supplier number two you can purchase 50 quarts of milk for $33.50 at supplier number three you can purchase 15 gallons for $48.75 and receive a course free which is the best deal

Answers

So basically you have 20 gal for 70 dollars 12.5 gal for 33.50 or 15 gal for 48.75. So you would need to find how much you spend per gallon divide total money by total gal. So for 15 gal you pay 3.25 per gal, for 12 gal you pay 2.79 per gal and for 20 gal you pay 3.5 per gal. Then I would find out how much I would pay each for 1 specific amount; so for 12 gal from each deal Deal A = 3.50(12)=42, Deal B 2.79(12)=33.50, Deal C 3.25(12)=39.
 So the best deal would be Deal C because it would initially come out cheaper and comes with a free meal.

Sarah invested $2,500 in an account paying an interest rate of 2.1% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 14 years?

Answers

Answer:3400

Step-by-step explanation:

Final answer:

To find the amount of money in the account after 14 years with continuous compound interest, we can use the formula A = P * e^(rt), where P is the principal amount, e is Euler's number, r is the interest rate per year, and t is the number of years. Substituting the values into the formula, we find that the final amount in the account is approximately $3831.

Explanation:

To find the amount of money in the account after 14 years, we can use the formula for continuous compound interest, which is given by the formula:

A = P * e^(rt)

A is the final amount in the account (what we're trying to find)

P is the principal amount (the initial investment of $2,500)

e is Euler's number (approximately 2.71828)

r is the interest rate per year (2.1% or 0.021)

t is the number of years (14)

Substituting the values into the formula:

A = $2500 * e^(0.021 * 14)

Using a calculator, we can find that the final amount in the account is approximately $3831.

Learn more about Compound Interest here:

brainly.com/question/32594953

#SPJ2

A box is sitting on the floor. The box was then pulled with a force, Ft. The box did not move. The free-body diagram of the box is shown.A free body diagram with 4 force vectors. The first vector is pointing downward, labeled F Subscript g Baseline = negative 20 N. The second vector is pointing right, labeled F Subscript t Baseline = 10 N. The third vector is pointing upward, labeled F Subscript N Baseline = 20 N. The fourth vector is pointing left, labeled F Subscript f Baseline = negative 10 N. The up and down vectors are the same length. The right and left vectors are the same length.

Which describes the motion of the box based on the resulting free-body diagram?

It is moving up with a net force of 20 N.
It is moving to the right with a net force of 10 N.
It is in dynamic equilibrium with a net force of 0 N.
It is in static equilibrium with a net force of 0 N.
Mark this and return

Answers

Answer:

It is in static equilibrium with a net force of 0 N.

Step-by-step explanation:

EDGE21

I'm not sure if it is dynamic or static equilibrium but if I had to choose I'd say dynamic

A circular patio has a radius of 18 feet.What is the longest distance across the patio?


A.
9 ft

B.
18 ft


C.
36 ft


D.
54 ft

Answers

Since the patio is circular, the longest distance across a circle is the diameter = 2 * radius = 2 * 18 = 36ft
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