Factor each completely.

10a² - 9a + 2

Answers

Answer 1

Answer:

a= [tex]\frac{2}{5}[/tex] or [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Equate the equation to zero

[tex]10a^{2}[/tex]-9a+2=0

[tex]10a^{2}[/tex]-5a-4a+2=0

5a(2a-1)-2(2a-1)=0

Write out the factors

(5a-2)(2a-1)=0

Then equate each factor to zero

5a-2=0 OR 2a-1=0

5a=2  OR  2a=1

a= [tex]\frac{2}{5}[/tex]   OR a= [tex]\frac{1}{2}[/tex]

a=[tex]\frac{2}{5}[/tex] or [tex]\frac{1}{2}[/tex]


Related Questions

Pls help (I did most of the page...)

Answers

Answer:

the tripled recipe of peaches is 2 or 6/3

the tripled amount of rhubarb would be 21/2 or [tex]10\frac{1}{2}[/tex]

Step-by-step explanation:

for the first part, just multiply the top number (2) by 3. (that would be 6)

then, divide that by the bottom number (3).

6/3 = 2.

for the second part, you need to convert the mixed number to an improper fraction.

[tex]3\frac{1}{2}[/tex] as an improper fraction is [tex]\frac{7}{2}[/tex]

now, multiply the top number (7) by 3. (that would be 21)

then. divide that by the bottom number. (2)

21/2 = [tex]10\frac{1}{2}[/tex]

Between 10 pm and 7:45 am the water level in a swimming pool decreased by 13/16 inch. Assuming the constant rate how much did it drop each hour

Answers

The answer to your question is, The pool dropped 1.38/16 inches per hour.

There were 6 eggs
I broke 2, I fried 2, and I ate 2.
How many eggs are left?!

Answers

Answer:

4

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pls rate ..

ANSWER

yes it is

you have 6 eggs right you remove 2 eggs from the 6 eggs which means you have 4 then the 2 you removed you fry them then the 2 eggs you fry you eat those same 2 eggs and then it leaves you with 4 eggs

A system of equations is given as:
x = 8
3x + 4y = 16
What is the value of y?

Answers

Answer:

3x + 4y = 16

x = 8

y = -2

Hope this helps! Please mark Brainliest!

Which of the following represents a fraction that converts to a repeating decimal with a value less than one?

1/2
4/3
9/10
4/9

Answers

Answer:

1/2

Step-by-step explanation:

took test

Answer:

4/9

Step-by-step explanation:

um no, that's wrong, the correct answer is 4/9 because it is a repeating decimal and is less than one

What is the slope of the line
represented by the equation
2y = 5x + 4?

Answers

Answer: The slope is 5/2.  

Step-by-step explanation:

Convert the equation into slope intercept form, ( y=mx+b)  

2y = 5x + 4   Divide each side by 2

y = 5/2x + 2    In this form the slope will be the coefficient of x variable.

The coefficient is the number that comes before x.  

In this case, the slope is 5/2.

Ryker wants to buy a bike that cost $150. He currently has saved $50. How much money does he need to buy his bike?

Answers

Answer: 100 dollars

Step-by-step explanation: If he has 50 dollars and the bike costs 150 he need 100 more dollars to get 150 dollars

What is the value of D(12)

Answers

Answer:

If  the question is looking for an absolute value  then the answer is 12.

Absolute value |-a|  = a.

I need help with this question

Answers

Answer:

a)-1,6

b)0,4

c)3,0

d)-4,4

e)2,1

John earned $36 for 8 hours of work. Earnings are directly proportional with hours worked.how much did he earn when he worked 30 hours.

Answers

Answer:

$135

Step-by-step explanation:

First, find the unit rate of money earned (36/8=4.5)

Then, multiply the unit rate of money earned by 30 (4.5 x 30 = $135)

I apologize if my wording is incorrect.

The total earnings for the 30 hours is $1350 if John earned $36 for 8 hours of work. Earnings are directly proportional to hours worked.

What is a proportional relationship?

It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.

It is given that:

John earned $36 for 8 hours of work. Earnings are directly proportional to hours worked.

Earnings ∝ hours

E ∝ T

E = kT

Here k is the constant

36 = 8k

k = 36/8

E = (36/8)T

Plug T = 30

E = (36/8)(30)

E = $1350

Thus, the total earnings for the 30 hours is $1350 if John earned $36 for 8 hours of work. Earnings are directly proportional to hours worked.

Learn more about the proportional here:

brainly.com/question/14263719

#SPJ2

What are all the like terms of 5x

Answers

Answer:

a number times 5

Step-by-step explanation:

Write an equation to represent the following statement.
j is 14 less than 22
Solve for J

Answers

Step-by-step explanation:

22-14=8 so J=8

The diameter of a soda can is 2.6 inches. What is the total length of the diameters of 5
soda cans?
A.130 inches
B.76 inches
C.7.6 inches
D.13 inches

Answers

Answerd

Step-by-step explanation:

13pulgadas

2.6* 5=13

If you wanted to plot the point (-4, 5), where would you move from the origin?

Answers

Answer

From the origin, you would move left four and up 5

A bus covers a distance of 90km at a uniform speed. Had the speed been 15km/hour it would have taken 30 minutes less for the journey. Find the original speed of the bus.

Answers

Answer:

Step-by-step explanation

Let's say d = distance, r = speed and t = time

We know the distance formula is :

distance = speed x time

d = r multiplied by t

d = rt

If the speed is 15km/hr, the time would be 30 minutes shorter.

Since d = rt,

90 = 15t

t = 6,

This means the time taken for the bus to complete the journey at 15km/hr would be 6hrs.

Originally though, the journey takes 30 minutes longer.

So we can say t = 6.5 hrs , and we know d = 90

Now we use the distance formula:

d = rt, since we want to find the original speed, we want to find r.

Speed = distance/time

r = d/t

r = 90/6.5

r = 180/13

Therefore the original speed is 180/13 km/hr

ASAP PLEASE ANSWERRR find the value of x. 3x+34=16 ​

Answers

Answer:

-6

Step-by-step explanation:

subtract 3 from both sides and that leaves 3x=-18

then divide 3 by -18 and that equals -6

Answer:

x= -6

Step-by-step explanation:

Step 1: Subtract 34 from both sides.

3x+34−34=16−34

3x=−18

Step 2: Divide both sides by 3.

3x /3  =  −18 /3

x=−6

-3/5 divided by 11/12. please answer in fraction form

Answers

Answer:

-13/20?

Step-by-step explanation:

solve this problem : 3c + 4 = -20

Answers

Step-by-step explanation:

hbhhhgggggbbbjjjkkk

Answer:

3c +4 =-20

3c=-20-4

3c=-24

c=-24÷3

c=-8

What is the area of triangle abc? Pls explain thoroughly.

Answers

Answer:

0.25 ( I guess)

Step-by-step explanation:

use 1/2 (b*h) formula

The peak of Mount Everest, Earth's tallest point, is about 5 1/2 miles above sea level. The bottom of the Mariana Trench, Earth's deepest point, is about 6 9/10 miles below sea level. If you could place Mount Everest at the bottom of the Mariana Trench, how far from sea level would its peak be?

Answers

Answer:

11 7/10 miles below sea level

Step-by-step explanation:

Given the following :

Peak of Mount everest = 5 1/2 miles above sea level

Bottom of Mariana trench = 6 9/10 miles below sea level

If mount everest is placed at the bottom of Mariana trench

. It's be will be :

Since sea level could be considered as a 0 point;

Adding the height and depth of both should give us the depth below sea level:

(6 9/10 + 5 1/2) miles

6 + 5 (9/10 + 1/2)

11 (9 + 5)/10

11 14/10

11 7/10

= 11 7/10 miles below sea level

I cut along piece of wood into 50cm pieces I manage to cut w, pieces of wood and there is 20cm left over . How long was the wood to start with

Answers

Answer:

50w+20 (cm)

Step-by-step explanation:

There would be w pieces of 50cm wood pieces and one 20cm wood piece.

wood length = 50w +20

Step-by-step explanation:

Given

Length of Pieces = 50cm

Number of Pieces = w

Left over = 20cm

Required

Determine the length of the wood

Start by multiplying the number of pieces by the length of each pieces

Result = length * number

Result = 50 * w

Result = 50w

Lastly, add the leftover to get the actual length of the wood

Woodlengrh = result + leftover

Substitute 50w for Result and 20 for Leftover

woodlength = 50w + 20

Hence, the length of the wood is 50w + 20

x = -4 -3x + 2y = 4​

Answers

Y =8
3(-4) +2y=4
3x-4=-12
-12 +2y=4
+12 +12
2y =4+12=16
2y\2= 16/2
Y= 8 :)

writing equations of lines

Answers

Answer:

- 10/8= -5/2

Step-by-step explanation:

You go down 10 and right eight to get to each point: rise/run, or in this case fall/run. Simplified it would be -5/2.

Hope this helps ❤

someone help me please​

Answers

Answer:

25

Step-by-step explanation:

"the quotient of a number and 4"

Answers

4 times X is the answer

Match the graph with the correct equation

A: Y= -2X + 5
B: Y= -X + 3




From: SLOPE-INTERCEPT FORM: PART 1

Answers

Answer:

The equation for this picture(graph) is:

y = -x+3

Slope: Rise/run

= 3/3

= 1

= -1 (negative because the slope is decreasing).

Y-intercept is where the line touches the y-axis

The cost to buy tickets online for a dance show is $60 per ticket. a. Write a function that represents the cost C(x) (in $) for x tickets to the show. b. There is a sales tax of 5.5% and a processing fee of $8.00 for a group of tickets. Write a function that represents the total cost T(a) for a dollars spent on tickets. c. Find (T ∘ C)(x). d. Find (T ∘ C)(6) and interpret its meaning in the context of this problem.

Answers

Step-by-step explanation:

Given

cost of ticket=$60

a. the cost of x tickets is

C(x)=60x

b. sale tax of 5.5% of $60 is 5.5/100*60

   0.55*60=$3.3

processing fee = $8

the total cost T(a) for a dollars spent on tickets.

T(a)=60a+3.3+8

T(a)=60a+11.3

c. Find (T ∘ C)(x).

T(x)=60x+11.3

d. Find (T ∘ C)(6)

T(6)=60*6+11.3

T(6)=360+11.3

T(6)=$371.3

This means that for 6 tickets with a tax of 5.5% and a processing fee of $8 the cost will be $371.3

What is the surface area of a sphere with a radius of 11 centimeters?

Answers

Here is your ANSWER


A≈1520.53cm²

Sonia is walking 2.6 miles home from school. She leaves at 4:00 P.M., and gets home at 4:45 P.M.

Answers

Answer:

I belive, it is A I'm not sure

Step-by-step explanation:

Solve for j.

20 − 17j = –18j

j =

Answers

Answer:

[tex]\boxed {j = -20}[/tex]

Step-by-step explanation:

-Solve for the value of [tex]j[/tex]:

[tex]20 - 17j = -18j[/tex]

-Take [tex]18j[/tex]and add it to [tex]17j[/tex]:

[tex]20 - 17j + 18j = -18j + 18j[/tex]

[tex]20 + j = 0[/tex]

-Subtract both sides by [tex]20[/tex]:

[tex]20 - 20 + j = 0 -20[/tex]

[tex]\boxed {j = -20}[/tex]

So, the value of [tex]j[/tex] is [tex]-20[/tex].

Other Questions
a rectangle is drawn so the width is 28 inches longer than the height. If the rectangle's diagonal measurement is 52 inches find the height Pls help (I did most of the page...) x = -4 -3x + 2y = 4 John earned $36 for 8 hours of work. Earnings are directly proportional with hours worked.how much did he earn when he worked 30 hours. Technoid Inc. sells computer systems. Technoid leases computers to Lone Star Company on January 1, 2021. The manufacturing cost of the computers was $19 million. This noncancelable lease had the following terms: Lease payments: $3,060,451 semiannually; first payment at January 1, 2021; remaining payments at June 30 and December 31 each year through June 30, 2025. Lease term: 5 years (10 semiannual payments). No residual value; no purchase option. Economic life of equipment: 5 years. Implicit interest rate and lessee's incremental borrowing rate: 7% semiannually. Fair value of the computers at January 1, 2021: $23 million. What is the outstanding balance of the lease liability in Lone Star's June 30, 2021, balance sheet? (Round your answer to the nearest whole dollar.) Multiple Choice $18,274,866. $18,074,875. $23,000,000. None of these answer choices is correct. An 8000.0 kg truck starts off from rest and reaches a velocity of 18.0 m/s in 6.00 seconds. What is the trucks acceleration and how much momentum does it have after it has reached this final velocity? The diameter of a soda can is 2.6 inches. What is the total length of the diameters of 5soda cans?A.130 inchesB.76 inchesC.7.6 inches D.13 inches In March 2018, Daniela Motor Financing (DMF), offered some securities for sale to the public. Under the terms of the deal, DMF promised to repay the owner of one of these securities $5,000 in March 2048, but investors would receive nothing until then. Investors paid DMF $850 for each of these securities; so they gave up $850 in March 2018, for the promise of a $5,000 payment 30 years later. Required:a. Assuming you purchased the bond for $850, what rate of return would you earn if you held the bond for 30 years until it matured with a value $5,000?b. Suppose under the terms of the bond you could redeem the bond in 2025. DMF agreed to pay an annual interest rate of 1.3 percent until that date. How much would the bond be worth at that time?c. In 2025, instead of cashing in the bond for its then current value, you decide to hold the bond until it matures in 2048. What annual rate of return will you earn over the last 23 years? I need help with this question If you wanted to plot the point (-4, 5), where would you move from the origin? Name three organic materials that technology turns into products. solve this problem : 3c + 4 = -20 What is the surface area of a sphere with a radius of 11 centimeters? a particle moves through gas at a speed of 1.5 km/m. How long will it take for the particle to go a distance of 158 m There was once a boy named Milo who didn't know what to do with himself--not just sometimes, but always. When he was in school he longed to be out, and when he was out he longed to be in. On the way he thought about coming home, and coming home he thought about going. Wherever he was he wished he were somewhere else, and when he got there he wondered why he'd bothered. Nothing really interested him--least of all the things that should have. The most likely reason the author begins this fantasy with a realistic element is to make the text more -3/5 divided by 11/12. please answer in fraction form What is this mixture made up from? Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!! help me with this question please To whom was citizenship initially restricted in the United states? 1. There were no restrictions 2. White men3. White men and women 4. Men Write a paragraph: Beginning, Middle, and End! Seven sentence minimum. Topic sentenceis that you would or would not "dodge" the draft. Would you leave the country? Would yougo to jail? Would you willingly go to war? Think about the repercussions of each choiceand include that discussion in your paragraph.