find the roots of the quadratic equation using factoring. 6m^2 - 23M + 10 = 0​

Answers

Answer 1
Answer:

m₁ = 10/3

m₂ = 1/2

Step-by-step explanation:

6m² - 23m + 10 = 0​

6m² - 2m - 20m + 10 = 0

3m(2m - 1) - 10(2m - 1) = 0

(3m - 10)(2m - 1) = 0

3m - 10 = 0 =>3m = 10 => m₁ = 10/3

2m - 1 = 0 => 2m = 1 => m₂ = 1/2


Related Questions

Phyllis invested 51000 dollars, a portion earning a simple interest rate of 4 percent per year and the rest earning a rate of 7 percent per year. After one year the total interest earned on these investments was 2370 dollars. How much money did she invest at each rate?

Answers

Answer:

Phyllis invested $11,000 at a simple interest rate of 7 percent per year and $40,000 at a simple interest rate of 4 percent per year.

Step-by-step explanation:

From the information provided, you can write the following equations:

x+y=51000 (1)

0.04x+0.07y=2370 (2), where

x is the portion earning a simple interest rate of 4 percent per year

y is the portion earning a simple interest rate of 7 percent per year

First, you can isolate x in (1):

x=51000-y (3)

Now, you can replace (3) in (2) and solve for y:

0.04(51000-y)+0.07y=2370

2040-0.04y+0.07y=2370

0.03y=330

y=330/0.03

y=11000

Then, you can replace the value of y in (3) to find the value of x:

x=51000-11000

x=40000

According to this, the answer is that Phyllis invested $11,000 at a simple interest rate of 7 percent per year and $40,000 at a simple interest rate of 4 percent per year.

look at image. reflection across the x-axis​

Answers

Answer:

S 1,-1     R 1,-3   :)

Step-by-step explanation:

solve for d, s = 2d / t

Answers

s = 2d / t

Multiply both sides by t

st = 2d

Divide both sides by 2

st / 2 = d

Simplify: | 5\6 - 7\2 | - | 5\3 |

Answers

Answer:53 over 30

Step-by-step explanation:

Ms. Anderson made a New year's resolution to go on a diet and exercise more. On January 1st , she weighed 160 pounds. Two months later, she had dropped to 136 pounds. What was the percent of decrease in her weight?

Answers

Answer: 15%

Step-by-step explanation:

From the question, we are informed that Mrs Anderson weighed 160 pounds earlier and two months later, she had dropped to 136 pounds. To. Calculate the percent of decrease in her weight goes thus:

We've to find her decrease in weight first. This will be:

= 160 pounds - 136 pounds

= 24 pounds

Percentage decrease will now be:

= Change in weight/Original weight × 100

= 24/160 × 100

= 0.15 × 100

= 15%

The percent of decrease in her weight is 15%.

Which of the following options have the same value as 65% of 20?

Answers

B

...........................

Answer:

It is A and D

Step-by-step explanation:

65% of 20 is also

.65 * 20 or

65/100 * 20

I did Khan Academy too :)

Find sin 0.
15
8
0
please help! very important

Answers

Answer:

D

Step-by-step explanation:

In the phrase SOH - CAH - TOA, the SOH stands for "Sine = opposite / hypotenuse", hence, the answer would be 15 / 8.

Answer: for me the answer was 15/17

Step-by-step explanation:

HELLPPPPPPPPP WITH THE TOP THREE PLS

Answers

Answer:

9) Domain: 0≤x≤6

Range: -3≤y≤3

10) Domain: -∞≤x≤∞

Range: -∞≤y≤∞

11) Domain: -∞≤x≤∞

Range: y≥-2

13) Domain: -∞≤x≤∞

Range: -2≤y≤4

Step-by-step explanation:

9) Domain: 0≤x≤6

Range: -3≤y≤3

10) Domain: -∞<x<∞

Range: -∞<y<∞

11) Domain: -∞<x<∞

Range: y≥-2

13) I think you need to look at this one again.  It looks like:

Domain: -∞<x<∞

Range: -2≤y≤4

Car Mileage for a
Hybrid Car
What is the value of y when the value of x is 1?
240 kg
180
Number of Miles
120
60
2
2.
3
Number of Gallons

Answers

Answer:

60

Step-by-step explanation:

Answer: 60

Step-by-step explanation

I took the test (:

A carpenter and his assistant can do a piece of work in 3 days. If the carpenter himself could do thework alone in 5 days, how long would the assistant take to do the work alone?

Answers

Answer:

  7 1/2 days

Step-by-step explanation:

The carpenter can do 1/5 of the work in 1 day. The assistant, who takes 'a' days to do the work, can do 1/a of the work in 1 day. Together, they can do 1/3 of the work in 1 day:

  1/5 + 1/a = 1/3

  1/a = 1/3 -1/5 = 2/15

  a = 1/(2/15) = 15/2 = 7.5

The assistant takes 7.5 days to do the work alone.

which expression has the same value as 3y+2x

a. 3y+(-2x)
b.-2+3y
c.2x-(-3y)
d.-3y-2x​

Answers

Answer:

Hey there!!

Your required answer is option C.

The reason is;

In option A when you simplify the signs, you will get it as 3y-2x.In option B it's totally not matching. In option C, when you simplify the signs, you will get as 2x + 3y {as( - )× (- )= (+)}.Option D is not matching.

Therefore, the possible answer is option D.

Hope it helps...

check for extraneous solutions: |2x + 5| = 3x + 4

Answers

it would be 1.............

solve 9x - y = 45 for y​

Answers

Answer:

y=9x-45

Step-by-step explanation:

9x-y=45

-y=45-9x

y=9x-45

The equation d=m/v can be used to calculate the den

Answers

yes you are right, density formula is :

density = mass ÷ vol

Reposted this Bc idk if ppl saw it

Answers

Answer:

Hey there!

4 2/3 can be written as 14/3

The ones that represent a rational number are the fourth and fifth options.

Let me know if this helps :)

Answer the questions to determine a conditional probability. How many customers are on payment plan B? customers How many of the customers on plan B text? customers What is the probability that a randomly selected customer who is on plan B uses the phone most often to text? Give the answer in fraction form.

Answers

Answer:

Answer the questions to determine a conditional probability.

How many customers are on payment plan B?

23 customers

How many of the customers on plan B text?

13 customers

What is the probability that a randomly selected customer who is on plan B uses the phone most often to text? Give the answer in fraction form.

13/23

Step-by-step explanation:

edg 2020

The probability that a randomly selected customer who is on plan B uses the phone most often to text is 13/23

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

The customers are on payment plan B = 23 customers

The customers on plan B text = 13 customers

The probability that a randomly selected customer who is on plan B uses the phone most often to text

= 13/23

Learn more about probability here;

https://brainly.com/question/11234923

x^2-15x+26 factoring need help

Answers

Answer:

x^2 - 2x - 13x + 26 = (x-2)(x-13)

Step-by-step explanation:

x^2 - 15x + 26 = x^2 - 2x - 13x + 26 = (x^2 - 2x) - (13x - 26)

= x(x-2) - 13(x-2) = (x-2)(x-13)

Celine was working on the following problem and can't seem to get the problem right. Choose the step where she made a mistake.
(-2×2-6) ÷2

Answers

Answer:

- 5

Step-by-step explanation:

Given

(- 2 × 2 - 6) ÷ 2

Evaluate the parenthesis performing the multiplication before subtracting.

= (- 4 - 6) ÷ 2

= - 10 ÷ 2

= - 5

Given f(x)
5x + 1
2 , solve for f-1(8).

Answers

(2*8 - 1) / 5 = (16 - 1) / 5 = 15/5 = 3

Harry parks his toy cars. he has less than 100 cars. When he parks them in groups of three, there will be two left, when he parks them in groups of four, there will be two left and when he parks them in groups of 5, there will be two left. How many will be left if he parks them in groups of seven? What method do you use here?

Answers

Answer:

Step-by-step explanation:

Examples: 4.121121112... For each square below, is the side length rational or irrational? A Blom A = 89 cm 1. What is the formula for the area of a...

36. GEOMETRY Write an algebraic expression to
represent the area of the triangle. Then evaluate it to
find the area when h = 12 inches.

Answers

Answer:

108 in²

Step-by-step explanation:

Area of a triangle is given as ½*base*height

The base of the given triangle = h + 6

height = h

Algebraic expression for its area = [tex] \frac{1}{2}*(h + 6)*h = \frac{1}{2}(h^2 + 6h) = \frac{h^2 + 6h}{2} [/tex]

Evaluate the area if h is given as 12 inches.

Plug in the value of h into the algebraic expression:

[tex] \frac{h^2 + 6h}{2} = \frac{12^2 + 6(12)}{2} [/tex]

[tex] = \frac{144 + 72}{2} [/tex]

[tex] = \frac{216}{2} = 108 in^2 [/tex]







Item 4
Solve the equation.

23h−13h+11=8
h=

Answers

Answer is 20 by plugging the 4 in the equation it equals 20

A 9-pack of toaster pastries costs $3.60. What is the unit price?
per pastry

Answers

Answer:.40 cents

Step-by-step explanation: divide the total cost by the amount of items you have.

Solve x^2=64. What property did you use?

Answers

Answer:

x = ± 8 using the square root property

Square root both sides to get x = ± 8.

m + 4 = -12

and

v - 15 = -27

Answers

Answer:The AR-15 came first, in 1947; the M16 a decade later. They have the same magazine capacity: 30 rounds. The former is heavier, with a shorter range and slower rate of fire, but these are subtle differences. Overall, the weapons are pretty simila

Step-by-step explanation:M4 carbine

Carbine, Caliber 5.56 mm, M4

Manufacturer See Manufacturers below

Unit cost $700 (avg. cost)m= -16

v= -12

Step-by-step explanation:

m + 4 = -12

m= -4-12

m=-16

v - 15 = -27

v=-27+15

v= -12

Produced 1991–present

Variants M4A1 Mark 18 Mod 0 CQBR

Answer:

m= -16

v= -12

Step-by-step explanation:

m + 4 = -12

m= -4-12

m=-16

v - 15 = -27

v=-27+15

v= -12

Solve the equation 1/2(2x+2)-1/4(3x-1)=15

Answers

Answer:

it is algebraic expression

A dripping tap loses 10mL of water every 45 seconds. How much water
will be lost in 6 hours?

Answers

Answer:

4800 ml

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask :)

Answer:

4.8 L

Step-by-step explanation:

6 hours = 6*60*60 seconds = 21600 seconds

10 mL - 45 seconds

x mL - 21600 seconds

x = (21600*10)/45=4800 mL

4800 mL = 4.8 L

3. The sides of a triangular birdcage are consecutive integers. If the perimeter is 114 centimeters, what is the length of each side? Label each side with an expression that represents its length.

Answers

Step-by-step explanation:

Let the first side is x, second side is (x+1) and the third sie is (x+2). The perimeter of the triangle is 114 cm.

It means,

x+x+1+x+2=114

3x+3=114

3(x+1)=114

x+1=38

x=37

So, first side is 37 cm

Second side is 37+1=38 m

Third side is 37+2=39 m

Hence, this is the required solution.

If a=0 and b≠0, where will the graph of the complex number a+bi always lie?

Answers

Answer:

On the horizontal axis

Step-by-step explanation:

The complex number is represented by the complex plane or z-plane which is the representation geometrically of the real (number) axis and the imaginary (number) axis

When plotting complex numbers, the real part of the complex number is always plotted on the horizontal axis while the imaginary part is plotted on the vertical axis

The complex plane concept facilitates the description of complex numbers geometrically.

plz answer i will mark as brainliest follow u and give you thx..but in return i need full proper answer

two dice are thrown simultaneously. list all the possible outcomes and the probability of getting same number on both dice (doublets); the sum of prime number

Answers

Answer:

Explanation:

There are 36 possible outcome:
(1,1) (1,2) (1,3)...(1,6)
(2,1)....(2,6)
(3,1).....(3,6)
(4,1)....(4,6)
(5,1)....(5,6)
(6,1).....(6,6)

The possibility of getting a doublet are 6 possible outcome:

(1,1) (2,2) (3,3) (4,4) (5,5) (6,6)

P = 6/36 = 1/6

The possibility for getting a sum of prime number are 8 outcome:
(1,2) (2,1) (2,3) (3,2) (5,2) (2,5) (5,6) (6,5)

P = 8/36 = 2/9


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