5x²—3x—2=0 by completing the square method ​

Answers

Answer 1

Answer:

{1, -2/5}

Step-by-step explanation:

5x^2 - 3x -2 = 0

x^2 - (3/5)x - 2/5 = 0

( x - (3/10) )^2 - (3/10)^2 - 2/5 = 0

( x - (3/10) )^2 = 2/5+9/100

( x - (3/10) )^2 = (7/10)^2

Take square roots on both sides

x - 3/10 = +/- 7/10

x = 3/10 +/- 7/10

= { 1, -2/5 }


Related Questions

which equation represents a linear function that has a slope of g and a y-intercept of -6
o y--3x+2
o y-4x-6
o y-4x+6
o y-8x+

Answers

Answer:

B

Step-by-step explanation:

the slope of the line is the number that multiplies the x

the y intercept is the constant therm

Three rays have a common vertex on a line. Write and solve equations to find the measures of m and n

Answers

Answer:

n = 90 - 62

n = 28º

m = 180 - (62 + n + 27)

m = 180 - (62 + 28 + 27)

m = 180 - 117

m = 63º

in the function f(x) = (x+2)2 -3 the minimum value occurs when x is

Answers

Answer:

x=2

Step-by-step explanation:

the minimum value of y is when x = 2.

Answer:

The minimum is at x = -2

Step-by-step explanation:

f(x) = (x+2)^2 -3

This is in vertex form

f(x) = ( x-h)^2 +k  where (h,k) is the vertex

Since this is an  upwards  opening  parabola the vertex is the minimum

f(x) = (x- -2)^2 -3

The vertex is (-2,-3)

The minimum is at x = -2

Which is the best explanation for why − √ 10 is irrational?

Answers

Step-by-step explanation:

- square root of 10 is irrational because it is less than zero. - square root of 10 is irrational because it is not a whole number.

Upon prime factorizing 10 i.e. 21 × 51, 2 is in odd power. Therefore, the square root of 10 is irrational.


What is the quotient?


Answers

Answer:

I'm not good at math

Step-by-step explanation:

a result obtained by dividing one quantity by another.

Help please someone

Answers

Answer: step by step explanation

it's just that you have to multiply the number under root and it's any number is square then you can take it out of root.

Determine the equation of the graph

Answers

There is no graph here

⚠️❗️⚠️❗️⚠️❗️10 POINTS PLEASE HELP ASAP I NEED THE ANSWER TO THE PROBLEM ANSWERED BELOW ⚠️❗️⚠️❗️⚠️❗️


What is the area❓ No links or troll answers you’ll be reported

Answers

Answer:

Step-by-step explanation:

so you have 2 rectangles and you first need to find what the area is for the side opposite 25 which is 9 because the 2 9's are the same as the missing number.

now 16x9=144

and 9x9x9=729

725x25=18225

hope that helps

have a great day/night

19NBoli

Can someone please answer this

Answers

Answer:

[tex] {7}^{3} (as \: a \: single \: power \: of \: 7)[/tex]

Step-by-step explanation:

Given

[tex] {7}^{4} \div 7[/tex]

Since,

[tex] {a}^{x} \div {a}^{y} = {a}^{x - y} [/tex]

Hence,

[tex] = {7}^{4 - 3} [/tex]

[tex] = {7}^{3} (ans)(as \: a \: single \: power \: of \: 7)[/tex]

At Walmart, a $525 bicycle is marked, "Get a 30% discount." What is the sale
price of the bicycle?

Answers

Answer:

367.50

Step-by-step explanation:

First find the discount

525 * 30%

525 * .30

157.50

Subtract this from the price

525-175.50

367.50

This is the new price

Answer:

367.5

Step-by-step explanation:

30% means 0.30

1 - 0.30 = 0.70

525 x 0.70 = 367.5

Calculate the distance between the points KL if L is located on the origin and K is 3 units to the left of y-axis and 5 units upwards from the x-axis.

Answers

Answer:

answer must be √34 in my opinion.

brett colors 25% percent of the total shapes on the paper he colors 6 shapes enetr the number of shapes on bretts paper


HELP QUICK PLS

Answers

Answer:

24 shapes

Step-by-step explanation:

Answer:

24 shapes I hope this helps :)

Step-by-step explanation:

7(-6 1/8) or 7 x -6 1/8=?? brainilist

Answers

Answer:

Step-by-step explanation:

[tex]7 \times -6\frac{1}{8} = 7 \times \frac{-49}{8} = -\frac{343}{8}[/tex]

Answer:

-343/8 or -42 7/8

Step-by-step explanation:

7(-49/8) = -343/8 or -42 7/8

Using the diagram below, what is m< S to the nearest degree?
A) 64 degrees
B) 26 degrees
C) 67 degrees
D) 23 degrees

Answers

Answer:

C

Step-by-step explanation:

tan S = opposite / adjacent

S = tan -1 ( 120 / 52) = 66.57 degree ≅ 67

A car can drive 30 miles in 25 minutes. How many miles could it drive in 75 minutes?

Answers

90 miles

75/25= 3
so 3*30 = 90

Answer:

90

First, divide: 75/25=3

Last 3x 30= 90

or

  30

x 3

--------

90

if you had to make 1000 toys and one toy used 2 (AA) batteries. how many would you need?​

Answers

Answer:

2000 batteries

Step-by-step explanation:

1000*2=2000

2,000 batteries .. that how many you will need

Carly takes a taxi from her house to her friends. Their houses are 6km apart. The taxi driver charges a flat fee of $10 plus $0.25/km. This can be modeled using the equation: C=0.25+10, where X represents the distance travelled in km and C represents the cost in dollars. How much will the taxi ride cost?

Answers

Answer:

$11.50

Step-by-step explanation:

0.25 times 6= 1.5, plus 10= 11.50

ILL SEND EXTRA POINTS JUST
PLEASE HELP

Answers

Answer: A = P + 0.2P

Step-by-step explanation:

r = 0.04, t = 5

Original equation:

A = P + Prt

A = P + P(0.04)(5)

A = P + P(0.2)

Translate this phrase into an algebraic expression,
17 increased by twice a number. Use a variable n to represent the unknown number.

Please help and thank you

Answers

Answer:

17+2n

Step-by-step explanation:

At the moment a certain medicine is injected, its concentration in the bloodstream is 120 milligrams per liter. From that moment forward, the medicine's concentration drops by 30% percent each hour. Write a function that gives the medicine's concentration in milligrams per liter, C(t), t hours after the medicine was injected. If anyone responds, thank you <3

Answers

Answer: [tex]C(t) = 120(1-0.30)^t[/tex]

Step-by-step explanation:

Exponential equation for decay:[tex]y= A(1-r)^t[/tex], where A = initial value, r= decay rate , t= time.

As per given, A = 120ml , r= 0.30

[tex]C(t) = 120(1-0.30)^t[/tex]

Hence, the required function that gives the medicine's concentration in milligrams per liter, C(t), t hours after the medicine was injected.

[tex]C(t) = 120(1-0.30)^t[/tex]

What multiplies to 18 and sums up to negative 19

Answers

Answer:

-18 and -1

Step-by-step explanation:

(-18) + (-1) = -19

(-18) × (-1) = 18

A square and rhombus are shown below

Answers

Answer:

B

Step-by-step explanation:

All the angles of square are 90° but in Rhombus all angles are not right angle only the angles opposite to each other are equal.

I got this answer from Gauthmath and i think you should try it to.

hope this was the answer you were looking for.

Answer:

B

Step-by-step explanation:

All the angles in a rhombus are not always 90 degrees.

Hope that this helps!

Help










Nxhxhxhdhdhdbsbsbdhdhd

Answers

your answer is number 2 it is 38.2 because 26 out of 68 is a percentage of 38.24

which function represents the sequence? A.f(n) =n+3 B.f(n)=7n-4 C.f(n)=3n+7 D.f(n)=n+7​

Answers

Answer:

f( n ) = 7 n - 4

Step-by-step explanation:

Terms : 3,10 , 17, 24, 31

Means this   =  [tex]a_{1}[/tex] = 3

The differences:

d = 10-3=7

our term of the sequence =

f( n ) = 7 n - 4

Mike is completing an ORDER OF OPERATION question with the following expression 7(a-b). What is true about this problem? ,a.) It can be simplified into 3 + 4a - b, b.) It can be simplified into 7a - b, c.) It can be simplified into 7ab, d.) It cannot be simplified from its current state e.) It can be simplified to 7a - 7b

Answers

Answer:

e.

Step-by-step explanation:

it can be simplified to 7a-7b

Can someone help me find the area plz

Answers

Answer:

16.24 yd^2

Step-by-step explanation:

The area is

A = bh

A = 5.6*2.9

A =16.24 yd^2

Answer:

Step-by-step explanation:

90.9

I NEED THE ANSWER FOR THIS QUESTION ASAP PLEASE EXPLAIN THE STEP BY STEP I NEED TO SHOW WORK

Answers

Answer:

45 3/10 miles per hour

Step-by-step explanation:

Distance travelled by the car = 30 1/5 miles

Time taken = 2/3 of an hour

Average speed = distance travelled / time taken

= 30 1/5 miles ÷ 2/3 of an hour

= 151/5 ÷ 2/3

= 151/5 × 3/2

= (151 * 3) / (5 * 2)

= 453 / 10

= 45 3/10 miles per hour

Average speed = 45 3/10 miles per hour

See image for question.

Question Continuation :
1.construct a table for the sample space of the random experiment.
2.using the sample space find the probability that the total score of the two dice is:
a. greater than or equal to 5
b. greater than 5 but less than 8.​

Answers

Answer:

See below

Step-by-step explanation:

#5

P(man) = 8/15P(lady) = 7/15

(a)

P(both ladies) = 7/15*6/14 = 1/5

(b)

P(both men) = 8/15*7/14 = 4/15

(c)

P(same sex) = P(both men or both ladies) = 1/5 + 4/15 = 7/15

(d)

P(different sexes) = P(man and lady or lady and man) = 8/15*7/14 + 7/15*8/14 = 8/15

Another way:

P(different sexes) = 1 - P(both ladies) - P(both men) = 1 - 1/5 - 4/15 = 8/15

#6

Sample space:

1, 1 - 1,2 - 1,3 - 1,42,1 - 2,2 - 2,3 - 2,43,1 - 3,2 - 3,3 - 3,44,1 - 4,2 - 4,3 - 4,4

Total 16 outcomes

a)

P(sum ≥5) = 10/16 = 5/8

b)

P(5<sum<8) = P(6 or 7) = 5/16

Solve 3b = 6v – 3b, for v.



6b-6

b

b-6

0

Answers

Answer:

b = v

Step-by-step explanation:

3b = 6v – 3b

Add 3b to each side

3b+3b = 6v – 3b+3b

6b = 6v

Divide by 6

6b/6 = 6v/6

b = v

answer and explain step by step please

Answers

Answer:

m∠6 = 110°

Step-by-step explanation:

∠6 and ∠8 are known as corresponding angles meaning they are equal to each other. Since m∠8 = 110°, m∠6 also equals 110°.

Answer:

11o degree

Step-by-step explanation:

angle 6 is 110 degree because the relation between angle 6 and angle 8 is that they are corresponding angles and corresponding angles are always equal.

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