All categories

3 years ago

X^2-4x+3=0 write it in standard form.

Mathematics

2 answers:

Oliga [24]3 years ago

6 0

Step-by-step explanation:

x²-4x+3=0

x²-4x=-3

take half of -4 square it and add it to both side

x²-4x+(-2)²=4-3

(x-2)²=1

x-2=±1

x=2±1

x=1,3

trasher [3.6K]3 years ago

4 0

Answer:

√

Explanation:

there are no whole numbers which multiply to - 3

and sum to - 4

we can solve using the method of

completing the square

the coefficient of the

term is 1

∙

add subtract

(

coefficient of the x-term

) 2 to x2 − 4 x ⇒ x 2 +2(− 2 ) x + 4 − 4 − 3 = 0 ⇒ ( x − 2 )2 − 7 =0 ⇒ ( x − 2 ) 2 = 7

take the square root of both sides

⇒ x − 2 = ± √ 7 ←

note plus or minus

⇒ x = 2 ± √ 7←

exact solutions

You might be interested in

On a broken-line graph, only the plotted points represent the actual data obtained from an experiment.

Luden [163]

I guess the answer is false, you weren't very detailed In your question.

6 0

3 years ago

Jack deposited $47,323.15 in an account earning 5% interest compounded annually.

Vera_Pavlovna [14]

Answer:

Jack's final bank account amount will be $54,782.50, earning $7,459.31 in interest.

General Formulas and Concepts:
Algebra I

Compounded Interest Rate Formula: $\displaystyle A = P \bigg( 1 + \frac{r}{n} \bigg) ^{nt}$

A is final amount
P is principle amount
r is rate
n is compounded rate
t is time

Step-by-step explanation:

Step 1: Define

Identify given variables.

P = $47,323.15

r = 0.05

n = 1

t = 3

Step 2: Find Interest

[Compounded Interest Rate Formula] Substitute in variables:
$\displaystyle A = 47323.15 \bigg( 1 + \frac{0.05}{1} \bigg) ^{1(3)}$
Evaluate:
$\displaystyle A = \boxed{54782.5}$

∴ Jack will gain $7,459.31 and have a net balance of $54,782.50.

---

Learn more about Algebra I: brainly.com/question/27710663

---

Topic: Algebra I

5 0

2 years ago

The diagnosis of a square are a.perpendicular

makkiz [27]

Answer

The correct answer is B

Step-by-step explanation:

It is B because squares don't intersect so it cant be a

They are always congruent and equal so not c or d it has to be B

6 0

3 years ago

Suppose that the scores of a history test are normally distributed with a mean of 565 and a standard deviation of 113. a) What p

zvonat [6]

Answer:

15.39% of the scores are less than 450

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 565, \sigma = 113$