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

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

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

someone help me please​

Answers

Answer:

25

Step-by-step explanation:

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

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

"the quotient of a number and 4"

Answers

4 times X is the answer

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

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.

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.

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

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

Answers

Answer:

-13/20?

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].

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

What are all the like terms of 5x

Answers

Answer:

a number times 5

Step-by-step explanation:

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 :)

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.

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:

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

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

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

I need help with this question

Answers

Answer:

a)-1,6

b)0,4

c)3,0

d)-4,4

e)2,1

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

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

Answers

Answer:

4

.

.

.

.

.

.

.

.

.

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

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

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

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 surface area of a sphere with a radius of 11 centimeters?

Answers

Here is your ANSWER


A≈1520.53cm²

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 ❤

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]

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!

Other Questions
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