MATHEMATICS HIGH SCHOOL

WEDNESDAY: Use the quadratic formula to solve the following: 3x^2 - 6x-12 = 0*a. 3.236 or -1.236
b. -3.236 or 1.236
c. 04 or 9
d. 2.487 or -5.859
e. None of these

Answers

Answer 1

Answer:

Answer:

a.) 3.236 or -1.236

Step-by-step explanation:

Used an online calculator for this answer...

Using the Quadratic Formula where

$x = ( -b \pm √(b^2 - 4ac))/( 2a )\nx = ( -(-6) \pm √((-6)^2 - 4(3)(-12)))/( 2(3) )\nx = ( 6 \pm √(36 - -144))/( 6 )\nx = ( 6 \pm √(180))/( 6 )$

The discriminant b^2−4ac > 0

so, there are two real roots.

Simplify the radical...

$x = ( 6 \pm 6√(5)\, )/( 6 )\nx = ( 6 )/( 6 ) \pm (6√(5)\, )/( 6 )\nx = 1 \pm √(5)\,$

This simplifies to...

$x = 3.23607\nx = -1.23607$

Related Questions

Write the number 2.4 in the form a/b
Form an equation to help you solve this problem.A school bus is full as it sets off. At the first stop 3 children get off and at the next stop a thirdof the remaining children get off, leaving the bus only half full.How many children were on the bus at the start?
80% of 120 is what value? 20 40 96 108
A system of equations is shown below: n = 3m + 7 n − 2m = 1 What is the solution, in the form (m, n), to the system of equations? (3, 7) (1, 8) (−3, −2) (−6, −11)
Suppose that you have a $2,000 balance on a credit card with a 7.99% annual interest rate, and you can afford to pay $150 per month toward this debt. a. Find the amount of time it takes to pay off this debt. Give your answer in months and years.b. Calculate the total amount paid over the life of the debt.

Three lights go on together first changes every 5 sec second every 6sec third every 8 sec when is the next time they go on together

Answers

In order to calculate, you need to find their LCM
LCM of 5,6 and 8 is equal to 120

So, That time will be 120 sec = 2 min.
In short, Your Final Answer would be 2 min.

Hope this helps!

5. What is a cubic polynomial function in standard form with zeros 1, –2, and 2? (1 point)= x3 + x2 – 3x + 4
= x3 + x2 – 4x – 2
= x3 + x2 + 4x + 4
= x3 – x2 – 4x + 4

Answers

Answer:

Option D is correct

The cubic polynomial function in standard form is :

$x^3-x^2-4x+4$

Step-by-step explanation:

Given the zeroes of the polynomial function 1 , -2 and 2.

i.e, x = 1 , -2 and 2 where x is the zero of the polynomial function.

we can write this as

x - 1 = 0,

x + 2 = 0 or

x - 2 = 0

(x - 1)(x + 2)(x - 2) =0

Using identities $(a+b)(a-b) =a^2-b^2$

then;

$(x-1)(x^2-4)=0$

Multiply the first term of the first expression with second expression;

$x (x^2-4) =x^3-4x$

also,

Multiply the second term of the first expression with second expression;

$1(x^2-4) = x^2 -4$

Now, subtract $x^3-4x$ and $x^2 -4$

we get;

$x^3-4x-x^2+4$

then, we have;

$x^3-x^2-4x+4=0$

Cubic function is any function of the form $y = ax^3 + bx^2 + cx + d,$ where a, b, c, and d are constants and a≠0

therefore, the given function is cubic function;

so, the cubic function f(x) = $x^3-x^2-4x+4$

Hello,

Answer D
(x-1)(x+2)(x-2)=(x-1)(x²-4)=x^3-x²-4x+4

What is the next odd number after 160 to which 9 would divide without a reminder

Answers

ok so one way is to list the multiplues of 9 close to thtat
first use a caltulator to find out how much more we need
160/9=17.777777
that is 17.7777 nine's
so round up
18
18 is even
odd times even=even
18 must be odd
18+1=19
9 times 19=171
the answer is 171

160 divided by 9 is 17.78. 9 goes into 162 but that is even. The next number 9 goes into is 171 and that is odd so the. answer is 171.

A theater has a seating capacity of 750 and charges $5 for children, $7 for students, and $9 for adults. At a certain screening with full attendance, there were half as many adults as children and students combined. The receipts totaled $4950. How many children attended the show

Answers

Let 'c' be the number of children, 'a' be the number of adults and 's' be the number of students in the theater.

Since, there are total 750 people in the theater.

So, c + s + a = 750 (Equation 1)

Now, it is given that there were half as many adults as children and students combined.

So, $a= (c+s)/(2)$

So, $c+s = 2a$

Putting the value of "c+s" in equation 1.

$c+s+a=750$

$2a+a = 750$

$3a= 750$

a = 250

Now, it is given that the receipts totaled $4950 and it charges $5 for children, $7 for students, and $9 for adults.

So, $( 5 * c) +( 7 * s )+ (9 * a) = \$4950$ (equation 2)

Since, $c+s = 2a$

$c+s = 500$

So, $s = 500-c$

Substituting the values of 's' and 'a' in equation 2, we get

$5c+7s+9a= 4950$

$5c+ 7(500-c)+(9 * 250) = 4950$

$5c+3500-7c+2250=4950$

$-2c= -800$

So, c = 400

Therefore, there were 400 children at the theater.

James paddles upstream in a canoe at 2mph (relative to the shore), and when he paddles down-stream, he goes 9mph. Find the speed of the current and the speed James can paddle in still water and come up with an equation.

Answers

Let x represent James's speed and y represent the speed of the current. Since upstream the current goes against him, $x-y=2$ describes the speed upstream, and since downstream the current goes with him, $x+y=9$ describes the speed downstream.

Use elimination to solve for x: $x-y=2 \n -(x+y=9) \n =-2y=-7 \n y=7/2$ or 3.5 miles per hour for James in still water. Substitute y into either original equation: $x-(7/2)=2 \n x=11/2$ or 5.5 miles per hour for the current. As far as an equation, you can use $y=(11/2)x$ , where x is the number of hours James has paddled in still water and y is the distance he has traveled (in miles).

Not sure what equation you're looking for, but against the current he goes 2 mph and with he goes 9mph, so 9-2=7mph difference between them, divided by 2 = 3.5 mph of the current. So in this case, James can paddle 2+3.5= 5.5 mph in still water and the current moves at 3.5 mph.

James can paddle 5.5 mph
The current moves at 3.5 mph
Equation: speed = 5.5 + 3.5x where x can equal -1, 0, or 1 depending on whether James is going with the current (x = 1), without the current (x = 0), or against the current (x = -1)

The Main Street Cinema holds 1,356 people. Last Saturday night, they were sold out for two showings of Super Alien 5. There was a special price of $5 for every seat for each showing. How much money did the theater take in that night? A. $10,888 B. $9,848 C. $6,780 D. $13,560

Answers

The amount the theater take in that night is (d) $13560

How to determine the amount the theater take in that night?

From the question, we have the following parameters that can be used in our computation:

People = 1356

Number of shows = 2

Price per ticket = $5

using the above as a guide, we have the following:

Total = People * Number of shows * Price per ticket

So, we have

Total = 1356 * 2 * 5

Evaluate

Total = 13560

Hence, the amount the theater take in that night is (d) $13560

WEDNESDAY: Use the quadratic formula to solve the following: 3x^2 - 6x-12 = 0*a. 3.236 or -1.236b. -3.236 or 1.236c. 04 or 9d. 2.487 or -5.859e. None of these​

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How to determine the amount the theater take in that night?

WEDNESDAY: Use the quadratic formula to solve the following: 3x^2 - 6x-12 = 0*a. 3.236 or -1.236
b. -3.236 or 1.236
c. 04 or 9
d. 2.487 or -5.859
e. None of these