All categories

2 years ago

Find the real solutions of the equation. (2x-6)^2 + 4(2x -6) +3 = 0

Mathematics

1 answer:

miskamm [114]2 years ago

7 0

Answer:

(

−

)

(

−

)

Simplify the left side.

Tap for more steps...

(

−

)

−

Use the quadratic formula to find the solutions.

−

√

−

(

)

Substitute the values

−

, and

into the quadratic formula and solve for

√

(

−

)

−

⋅

(

⋅

)

⋅

Simplify.

Tap for more steps...

The final answer is the combination of both solutions.

Step-by-step explanation:

You might be interested in

HELP URGENT PLEASE! The Lees have purchased a new home for $360,000, and put a down payment of $50,000 on it. They have a mortga

bonufazy [111]

Answer:

$191,340.80

Step-by-step explanation:

Step 1

We find the amount that is paid monthly by the Lee's

We are told in the question that:

Cost of the house =$360,000

Down payment = $50,000

We are also told, the balance left after the down payment was made = Mortgage that is amortized at an

Interest rate of 5.25%

Time = 20 years

Hence, Mortgage amount = $360,000 - $50,000 = $310,000

Formula for monthly payment =

M= P[r(1+r)^n/((1+r)^n)-1)]

M = the total monthly mortgage payment.

P = the principal loan amount.

r = your monthly interest rate.

= rate/12

=5.25%/12 = 0.0525/12

= 0.004375

n = number of payments

= number of years × number of months

= 20 × 12 = 240 payments

Formula for monthly payment =

M= P[r(1+r)^n/((1+r)^n)-1)]

M = 310,000[0.004375(1 + 0.004375)^240/((1 + 0.004375)^240 ) - 1]

M = $2,088.92

Therefore, the monthly payment by the Lee's is $2,088.92

Step 2

We calculate the Total Amount paid by the Lee's in 20years because we are told in the question that they paid off their mortgage after 20 years

Total Amount paid = Monthly payments × Number of payments

= $2,088.92 × 240

= $501,340.80

Step 3

The third and final step is to calculate the Total interest paid for 20 years

Total Interest = Total amount paid - Mortgage amount

= $501,340.80 - $310,000

Total Interest: $191,340.80

Therefore,the interest will they have paid in total is $191,340.80

6 0

2 years ago

Heidi earns $11.50 per hour plus a bonus of $105 for the week. Her goal is to earn $650 for the week. Which equation

Stells [14]

Answer:

48 hours

Step-by-step explanation:

$650 - $105 = $545

$545 ÷ $11.50 = 47.39 = 48 hours (Rounded)

6 0

2 years ago

Use the Euclidean Algorithm to compute the greatest common divisors indicated. (a) gcd(20, 12) (b) gcd(100, 36) (c) gcd(207, 496

coldgirl [10]

Answer:

(a) $gcd(20, 12)=4$

(b) $gcd(100, 36)=4$

(c) $gcd(496,207 )=1$

Step-by-step explanation:

The Euclidean algorithm is an efficient method for computing the greatest common divisor of two integers, without explicitly factoring the two integers.

The Euclidean algorithm solves the problem:

Given integers $a, b$ , find $d=gcd(a,b)$

Here is an outline of the steps:

Let $a=x$ , $b=y$ .
Given $x, y$ , use the division algorithm to write $x=yq+r$ .
If $r=0$ , stop and output $y$ ; this is the gcd of $a, b$ .
If $r\neq 0$ , replace $(x,y)$ by $(y,r)$ . Go to step 2.

The division algorithm is an algorithm in which given 2 integers N and D, it computes their quotient Q and remainder R.

Let's say we have to divide N (dividend) by D (divisor). We will take the following steps:

Step 1: Subtract D from N repeatedly.

Step 2: The resulting number is known as the remainder R, and the number of times that D is subtracted is called the quotient Q.

(a) To find $gcd(20, 12)$ we apply the Euclidean algorithm:

$20 = 12\cdot 1 + 8\\ 12 = 8\cdot 1 + 4\\ 8 = 4\cdot 2 + 0$

The process stops since we reached 0, and we obtain $gcd(20, 12)=4$ .

(b) To find $gcd(100, 36)$ we apply the Euclidean algorithm:

$100 = 36\cdot 2 + 28\\ 36 = 28\cdot1 + 8\\ 28 = 8\cdot 3 + 4\\ 8 = 4\cdot 2 + 0$

The process stops since we reached 0, and we obtain $gcd(100, 36)=4$ .

(c) To find $gcd(496,207 )$ we apply the Euclidean algorithm:

$496 = 207\cdot 2 + 82\\ 207 = 82\cdot 2 + 43\\ 82 = 43\cdot 1 + 39\\ 43 = 39\cdot 1 + 4\\ 39 = 4\cdot 9 + 3\\ 4 = 3\cdot 1 + 1\\ 3 = 1\cdot 3 + 0$

The process stops since we reached 0, and we obtain $gcd(496,207 )=1$ .

3 0

2 years ago

BRAINLIEST FOR BEST ANSWER ** What is the degree number of Z?

irinina [24]

Answer:

the answer is D. 147 degrees

Step-by-step explanation:

114+33=147

check answer by

180-147=33

33+33+114=180

4 0

2 years ago

Read 2 more answers

The area of a triangle is found by multiplying half of the measure of its base by its height. The area of the following right tr

Scrat [10]

Answer:

AREA OF TRAINGLE =18

WE NO THE AREA OF 1/2 BH

B=6

PLUGGING IN THE VALUES

18 1/2 6 (H+1)

6=H+1

H=5

7 0

2 years ago