Mathematics High School

Which equation shows the correct factors for the quadratic equation 24x2 - 15 = 54x?
3x (8x + 5) = 54x
3 (2x + 5) (4x - 1) = 0
3 (8x2 - 5) = 54x
3(2x - 5) (4x + 1) = 0
3(2x - 5)(4x - 3) = 0​

Answers

Answer 1
The second equation is correct answer
Answer 2

Answer:24x^2_54x_15=0

(12X +3 ) ( 2X _5 ) . = O

12x +3 =0

X= - 1/4

or

2x _ 5=0

X = 5/ 2

Related Questions

Need help please please i need help thanks ​

Answers

Answer:

1) 6 balls

Step-by-step explanation:

x = number of balls Elsa can shoot

x + 6 = number of balls Anna can shoot

18 = number of balls together they can shoot

x + (x + 6) = 18

x + x + 6 = 18

2x + 6 = 18

2x = 18 - 6

2x = 12

x = 6

2)2) 20x (3÷ 4)=90 120-90=30 thus left seat has 30 seating capacity.

3)Let x & y be packets of [a] type & [b] type detergent sold

Then 9x +7y =180

Let us say x=7

Then 9*7+7y =180

7y =180–63 = 117

y =117/7=19.2 this will not do as it contains decimal not whole number

Say x=6

Then 9*6 +7y =180

7y=180–54 =126

y =126/7 =18 this is acceptable as it is whole number

Answer: 6 packets of (a) and 18 packets of type (b) were sold to get 180Php

4) 5,6,7 female piglets

5)1kg. of rice is Php. 90.00 . Mang Tommy pays Php.360.00 for 4kg. of rice.

4kg of rice - Php. 360.00

3kg of pork- Php. 390.00

1kg of rice is Php. 90.00

1kg of pork is Php. 130.00

Refer to attachment for solution ~

Sorry for late, I didn't have time for it !

HELP IVE BEEN STUCK ON THE SAME QUESTION NOBODY WILL HELP ME I CANT CALM DOWN HELP ME

Answers

Hello! :p

[tex]\sqrt{-8}[/tex]  = [tex]2i\sqrt{2}[/tex]

[tex]\sqrt{-36}[/tex] = [tex]6i[/tex]

[tex]\sqrt{-5}[/tex] = [tex]i\sqrt{5}[/tex]

I hope you do well on your assignment! I also hope this helps! :)

Alex wants to buy the same number of stamps and envelops. Stamps are sold in packs of 14 and envelops are sold in the packs of 10.
What is the least number of each he could buy to have the same number of stamps and envelops?

Please show work

Answers

Answer:

70

Step-by-step explanation:

the least common multiple of 10 and 14 will be the answer

the prime factorization of 10 is 2 and 5

the prime factorization of 14 is 2 and 7

so you can multiply the number in common, 2, by the ones not common, 5 and 7

2 x 5 x 7 = 70

2 (x + 4) = 2 (-8 - x) - 2x

Answers

Answer:

x = -4

Step-by-step explanation:

Simplifying

2[x + 4] = 2[-8 + -1x] + -2x

Reorder the terms:

2[4 + x] = 2[-8 + -1x] + -2x

[4 * 2 + x * 2] = 2[-8 + -1x] + -2x

[8 + 2x] = 2[-8 + -1x] + -2x

8 + 2x = [-8 * 2 + -1x * 2] + -2x

8 + 2x = [-16 + -2x] + -2x

Combine like terms: -2x + -2x = -4x

8 + 2x = -16 + -4x

Solving

8 + 2x = -16 + -4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4x' to each side of the equation.

8 + 2x + 4x = -16 + -4x + 4x

Combine like terms: 2x + 4x = 6x

8 + 6x = -16 + -4x + 4x

Combine like terms: -4x + 4x = 0

8 + 6x = -16 + 0

8 + 6x = -16

Add '-8' to each side of the equation.

8 + -8 + 6x = -16 + -8

Combine like terms: 8 + -8 = 0

0 + 6x = -16 + -8

6x = -16 + -8

Combine like terms: -16 + -8 = -24

6x = -24

Divide each side by '6'.

x = -4

Simplifying

x = -4

2( x + 4) = 2 (-8 -x) -2x

Use the distributive property to multiply 2 by x + 4.

2x + 8 = 2 (-8 -x) - 2x

Use the distributive property to multiply 2 by -8 -x.

2x + 8 = -16 -2x - 2x

Combine -2x and 2x to get -4x.

2x + 8 = -16 - 4x

Add 4x to both sides.

2x + 8 + 4x = -16

Combine 2x and 4x to get 6x.

6x + 8 = -16

Subtract 8 from both sides.

6x = -16 - 8

Subtract 8 from -16 to get -24.

6x = -24

Divide both sides from 6.

x = [tex]\frac{-24}{6}[/tex]

Divide by -24 by 6 to get -4.

x = -4.

if p(q) = q^2 4q- 12 then what is p(-1)

Answers

the solution:

(1): "q2" was replaced by "q^2".

Step by step solution :

STEP
1
:
Trying to factor by splitting the middle term

1.1 Factoring q2-4q-12

The first term is, q2 its coefficient is 1 .
The middle term is, -4q its coefficient is -4 .
The last term, "the constant", is -12

Step-1 : Multiply the coefficient of the first term by the constant 1 • -12 = -12

Step-2 : Find two factors of -12 whose sum equals the coefficient of the middle term, which is -4 .

-12 + 1 = -11
-6 + 2 = -4 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 2
q2 - 6q + 2q - 12

Step-4 : Add up the first 2 terms, pulling out like factors :
q • (q-6)
Add up the last 2 terms, pulling out common factors :
2 • (q-6)
Step-5 : Add up the four terms of step 4 :
(q+2) • (q-6)
Which is the desired factorization

Equation at the end of step
1
:

(q + 2) • (q - 6) = 0
STEP
2
:
Theory - Roots of a product

2.1 A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

2.2 Solve : q+2 = 0

Subtract 2 from both sides of the equation :
q = -2

Solving a Single Variable Equation:

2.3 Solve : q-6 = 0

Add 6 to both sides of the equation :
q = 6

Supplement : Solving Quadratic Equation Directly

Solving q2-4q-12 = 0 directly
Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula

Parabola, Finding the Vertex:

3.1 Find the Vertex of y = q2-4q-12

Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "y" because the coefficient of the first term, 1 , is positive (greater than zero).

Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.

Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.

For any parabola,Aq2+Bq+C,the q -coordinate of the vertex is given by -B/(2A) . In our case the q coordinate is 2.0000

Plugging into the parabola formula 2.0000 for q we can calculate the y -coordinate :
y = 1.0 * 2.00 * 2.00 - 4.0 * 2.00 - 12.0
or y = -16.000

Parabola, Graphing Vertex and X-Intercepts :

Root plot for : y = q2-4q-12
Axis of Symmetry (dashed) {q}={ 2.00}
Vertex at {q,y} = { 2.00,-16.00}
q -Intercepts (Roots) :
Root 1 at {q,y} = {-2.00, 0.00}
Root 2 at {q,y} = { 6.00, 0.00}

Please Help ASAP!!
Full work shown gets brainliest!!

Answers

Answer:

LR = 17

Step-by-step explanation:

RP is one section of LP (the whole section). Since R is the midpoint of the segment, RP = LR. Hope this helps!

Helppppp, please look at the question

Answers

Ok done. Thank to me:>

Kiran and Mai are going on a long bike ride.
• Kiran can ride 4 miles every 16 minutes.
Mai can ride 4 miles every 12 minutes.
.
How long will it take each rider to reach the end of a 12-mile bike path?
1) It will take Kiran minutes to reach the end of a 12-mile bike path?
2) It will take Mai
minutes to reach the end of a 12-mile bike path?
Blank 1:
Blank 2:
Question 4 (2 points)

Answers

Answer:

kiran will take 48 minutes 16 x 3

mai will take 36 minuttes 13 x 3

Step-by-step explanation:

(1) Kiran will take 48 minutes to reach the end of a 12-mile bike path.

(2) Mai will take 36 minutes to reach the end of a 12-mile bike path.

What is ratio?

Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Kiran rides 4 miles every 16 minutes.

Also, Mai rides 4 miles every 12 minutes.

To find the time taken by Kiran and Mai to reach 12 mile bike paths,

Use ratio property,

Time taken by Kiran to ride 4 miles = 16 minutes,

For 1 mile = 4 minutes,

For 12 miles = 12 x 4 = 48 minutes

Time taken by Mai to ride 4 miles = 12 minutes,

For 1 mile = 3 minutes

For 12 miles = 12 x 3 = 36 minutes.

Kiran will take 48 minutes and Mai will take 36 minutes to reach the end of a 12-mile bike bath.

To know more about Ratio on:

https://brainly.com/question/23724140

#SPJ2

Rename 3/4 and 9/10 using the least common denominator

Answers

See attached picture please

What is the selling price of an item if the original cost is $784.50 and the markup on the item is 6.5 percent?

selling price = original cost + markup value

A.
$509.95
B.
$831.57
C.
$835.49

Answers

The selling price of the item is $835.49

How to determine the selling price?

The given parameters are:

Original cost = $784.50

Markup = 6.5%

The selling price is calculated as

Selling price = Original cost * (1 + Markup)

So, we have:

Selling price =$784.50 * (1 + 6.5%)

Evaluate the expression

Selling price =$835.49

Hence, the selling price of the item is $835.49

Read more about mark up at:

https://brainly.com/question/2027650

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help pls will mark brainliest if it is correct, its not 72.

Answers

Answer:

52

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

The top has 6 faces, so 6 x 2 = 12

The bottom has the same, 12

The left side has 3, 3 x 2 = 6

The front and inside has 6, x 2 = 12

The right side has 2 x 2 = 4

The back has 3 x 2 = 6

12 + 12 + 6 + 12 + 4 + 6 = 52

help? please and thanks​

Answers

I believe it is distributive property.
None of the other ones make sense because in the first equation it isn’t either or, it has both multiplication and addition, not one or the other. Plus you are distributing the 9 into 2 and 6.

picture. simplify. easy math.

Answers

Answer:

3/2

Step-by-step explanation:

The answer would be 3/2

Given: AC = 4DC, BC = 4EC
Prove: A = D​

Answers

Two triangles that are proportional to each other and have the same angle are similar.

Graph the linear equation.

3x−4y=12
school: k 12

Answers

Answer: slope : 3/4 points: (0,-3) (4,0)

Step-by-step explanation:

i looked it up

Answer:

look at graph

Step-by-step explanation:

Find the product -1.2(0.04)

Answers

Answer:

-0.048

Step-by-step explanation:

-1.2 * 0.04 = -1.2 * 4 / 100 = -4.8 / 100 = -).048

A school allots £3000 to spend on a trip to the theatre.
Theatre tickets have a regular cost of £45 each and are on offer for off.
A train ticket for the day will cost £20 each
If 3 teachers and the maximum number of students attend, how many students go on the trip?

Answers

Answer:

32

Step-by-step explanation:

The arcs in the photo at the right appear to
be paths of stars rotating about the North Star, To produce this effect, the
photographer set a camera on a tripod and left the shutter open for an
extended time. If the photographer left the shutter open for a full 24 hours,
each are would be a complete circle. You can model a star's rotation" in the
coordinate plane. Place the North Star at the origin. Let P(1, 0) be the position
of the star at the moment the camera's shutter opens. Suppose the shutter is
left open for 2 h 40 min, with the arc ending at P. a. What angle of rotation
maps Ponto P? b. What are the x and y coordinates of P to the nearest
thousandth? c. What translation rule maps P onto P?

Answers

Answer:

a. What angle of rotation maps Ponto P?

30.25 degrees

b. What are the x and y coordinates of P to the nearest thousandth?

(83.3, 33.3)

c. What translation rule maps P onto P?

Rotation

PLEASE I AM IN DESPERATE NEED OF HELP

Answers

Answer:

C:   H > 60

Step-by-step explanation:

H is 60 in or taller, underlined indicates that it's also 60 in, not just above it.

. Find the average (mean) of the daily low temperatures
-13°F, 2°F, -7°F, -16°F, and 4°F.

Answers

Answer:

-6

Step-by-step explanation:

Add all the numbers together and then divide it by 5 because there are 5 numbers

Rewrite this equation below into Slope-intercept form
y-10=2/3(x-3)

Answers

Answer:

y= 2/3x+8

Step-by-step explanation:

you add 10 to both sides then combine -2 with 10 to get 8

then 1x times 2/3 is 2/3x and -3 times 2/3 is -2

Plzzzz help meeeee plzzzzzzzz

Answers

Answer:

$0.70

Step-by-step explanation:

70cents is the same as 70/100. so, this would be 0.70.

Hope this helps!

Triangle ABC is translated left 1 units, and dilated by a scale factor of 2.
Write in the coordinates of vertices A'B'C'.

Answers

Answer:

A' (4,4)  B' (0,0)  C' (4,0)

Step-by-step explanation:

A (3,2)  B (1,0)  C (3,0)

Translated left 1 unit: A'' (2,2)  B'' (0,0)  C'' (2,0)

dilated about origin (0,0) by scale factor of 2: A' (4,4)  B' (0,0)  C' (4,0)

What is the equation for the line in slope-intercept form?

Answers

Answer:y=4x+4

Step-by-step explanation:

One angle of a right triangle measures 36. 5 degrees. What is the measure of the other small angle?.

Answers

Answer:

The other small angle is 53.5 degrees

Step-by-step explanation:

We know that a right triangle has to have a 90 degree angle and 2 other small angles.

All triangles when adding up all of their "degrees" has tp equal 180 degrees.

Since we know that there is a 90 degree angle and a 36.5 degree angle.

All we have to do is add 90 plus 36.5, then subtract that sum onto 180.

90 + 36.5 = 126.5

180 - 126.5 = 53.5

So the answer is 53.5 degrees.

Hope this helps! :)

૮ ・ﻌ・ა

A right triangle is a triangle in which the angles sum up to 180 degrees. It is made up of three sides : the height, the base and the hypotenuse. One of the angles in a right triangle has a value of 90 degrees.

Missing angle  = sum of angles in a triangle - (sum of the two given angles)

Missing angle = 180 - ( 90 + 36.5)

180 - 126.50

= 53.5 degrees

Please find attached an image of a right triangle. A similar question was answered here: https://brainly.com/question/24353342

What is the value of (225 ÷ 0.25) – 11.875 written to two decimal places.(2d.p.)​

Answers

888.125 is the answer just use your calculator

Answer:

Step-by-step explanation:

888.13

12 in. to 36 in. increase in percent or decrease?

Answers

Answer:

33.3333%

Step-by-step explanation:

Answer:

12/36=0.333+

it decrease

n/24-40=37 solve for n

Answers

Answer:1848

Step-by-step explanation:

good luck with the test or whatever you are doing

Describe the end behavior of the function.


f(x)=3(1/5)^x-2

Answers

Answer:

The leading coefficient test requires a polynomial.

Not a polynomial

Step-by-step explanation:

Answer:

  x → -∞, f(x) → ∞

  x → ∞, f(x) → -2

Step-by-step explanation:

f(x) is an exponential function with a base less than 1. It represents decay, so will approach infinity as x approaches negative infinity. It will approach a horizontal asymptote for large positive x.

The -2 added to the exponential term moves the asymptote from y=0 to y=-2.

  x → -∞, f(x) → ∞

  x → ∞, f(x) → -2

What is the answer?
To this question

Answers

Answer:

y = 3.2

Step-by-step explanation:

8/y = 10/4

10y = 32

y = 32 / 10

y = 3.2

Other Questions
Find the equation of a line whose graph passes through the two points (2,-3) and (4,-8). The plot of Uncle Toms Cabin, which involves slaves who are sold or run away, is a component of the novels _____.formdialoguecontenttheme week 13 french questions part 4 Lewis and Clark Journal entriesInstructions: Below you will read a journal entry made from the lewis and Clark expedition. After reading the entry you will answer questions about the entry. Make sure to answer the question fully and with complete sentences Lewis & Clark Written Primary Source Activity One of the major objectives of the Corps of Discovery expedition was to take a census of the fauna and flora in the Louisiana Territory. Other major objectives were to map the territory and to befriend the Native Americans who lived there. President Jefferson encouraged Lewis and Clark to keep detailed journals of what they saw and experienced on their journey. In addition, they were encouraged to return home with animal, plant, and mineral specimens.Here are several journal entries for you to read and discuss Capt. Lewis, May 29, 1805--Last night we were all allarmed by a large buffaloe Bull, which swam over from the opposite shore and coming along side of the white perogue, climbed over it to land, he then allarmed ran up the bank in full speed directly towards the fires and was within 18 inches of the heads of some of the men who lay sleeping before the centinel could allarm him or make him change his course, still more alarmed, he now took his direction immediately towards our lodge, passing between 4 fires and within a few inches of the heads of one range of the men as they yet lay sleeping, when he came near the tent, my dog saved us by causing him to change his course a second time, which he did by turning a little to the right, and was quickly out of sight, leaving us by this time all in an uproar with our guns in o[u]r hands, enquiring of each other the ca[u]se of the alarm, after which after a few moments was explained by the centinel; we were happy to find no one hirt. Questions: (I need help with/me)Based on the entries, what was the trip like? Was it very dangerous or not? Give me some supporting details on why you believe this? Make sure to write in complete sentences what percentage of americans vote in the presidential elections The directions for Clean-All to mix 1 3/8 cups of cleaner with 2 2/5 cups water. Write a COMMON RATIO asCLEANER to WATER write the sentence in passive voice. 1. I did not beat her what percent of 75cm is 5cm the acceleration of a train moving from rest and its speed reaches 36m/sec in 9 sec 3 examples of how you think cells work in living things. On September 1, Sky Mountain Company borrowed $200,000 on a 6%, 9-month note payable to Coast National Bank. Given no previous adjusting entries have been recorded, Sky Mountain's adjusting entry four months later at December 31 would include a: Where is the Oort cloud locatedA) between the orbit of mars and orbit of JupiterB) in the different orbits between the sun and NeptuneC) behind the Kuiper belt at the farthest end of the solar systemD) all over the solar system in between the orbits of the planets why Preparing food menu is important? 2 procedimientos por favor Read the following excerpt from Overtones by Alice Gerstenberg and answer the question that follows.HETTY [looking at HARRIET admiringly]. Oh, Harriet, you are beautiful to-day.HARRIET. Am I presentable, Hetty?HETTY. Suits me.HARRIET. I've tried to make the best of the good points.HETTY. My passions are deeper than yours. I can't keep on the mask as you do. I'm crude and real, you are my appearance in the world.HARRIET. I am what you wish the world to believe you are.HETTY. You are the part of me that has been trained.HARRIET. I am your educated self.What does the audience learn about Harriet from this interaction?A. Harriet is educated and composed.B. Harriet is impulsive and passionate.C. Harriet is older and wiser.D. Harriet is married. What are the worst thing about the family ? SOMEONE HELP ME PLEASEEE PLEASE HELPPPP! ANYTHING U CAN ANSWER WOULD BE SOOO GREAT :) (AND NO ITS NOT A VIRUS) help i want to graduate by january :,) The sum of two numbers is 43. The smaller number is 7 less than the larger number. What are the numbers?