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4 years ago

Rewrite the equation by completing the square. x^2−4x+3=0

Mathematics

1 answer:

harina [27]4 years ago

3 0

Answer:

x=1 or x=3

Step-by-step explanation:

Hello, please consider the following.

$x^2-4x+3=0\\\\\text{Step 1 - complete the square}\\\\x^2-4x+3=x^2-2*2*x+3=(x-2)^2-4+3=(x-2)^2-1=0\\\\\text{Step 2 - move the constant to the right side, meaning adding 1 here.}\\\\(x-2)^2=1\\\\\text{Step 3 - take the root}\\\\x-2=\pm1\\\\x=2-1=1 \ \ or \ \ x=2+1=3$

Thank you

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According to a Pew Research Center, in May 2011, 35% of all American adults had a smart phone (one which the user can use to rea

IgorC [24]

Answer:

Step-by-step explanation:

For the null hypothesis,

p = 0.35

For the alternative hypothesis,

P > 0.35

Since the z score is given as z = 1.82, we would find the probability value by determining the area above the z score from the normal distribution table. The required probability value is

1 - 0.966 = 0.034

Assuming alpha = 0.05,

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At significance level of 5%,

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5 0

3 years ago

Simplify. (-4b^3+b-1)+(6b-6)

MissTica

-4b3 + 7b - 7
that is the answer for you

4 0

4 years ago

Read 2 more answers

(a) Are triangles the congruent? Write the congruency statement.

Maru [420]

Answer:

Part A) Yes , the triangles are congruent

Part B) The side-angle-side (SAS) theorem

Part C) The perimeter of ∆PQR is $17\ ft$

Step-by-step explanation:

Step 1

we know that

The side-angle-side (SAS) theorem, states that: If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

so in this problem

Traingle PQR and Triangle STU are congruent by the SAS Theorem

because

m<PQR=m<STU -------> included angle

PQ=TS

QR=TU

Step 2

Find the value of y

we know that

If the triangles are congruent

then

The corresponding sides are equal

$PR=SU$

substitute

$(3y-2)=(y+4)$

$(3y-y)=(2+4)$

$(2y)=(6)$

$y=3\ ft$

$PR=3y-2=3(3)-2=7\ ft$

$SU=y+4=(3)+4=7\ ft$

$PR=SU$

Step 3

Find the perimeter ∆PQR

Remember that

The perimeter of ∆PQR is equal to the perimeter ∆STU

The perimeter is equal to

$P=PQ+QR+PR$

substitute the values

$P=4+6+7=17\ ft$

6 0

3 years ago

Will get brainliest!!!!!! Need by today!!!!!! please

Dovator [93]

Answer:

Step-by-step explanation:

dont know mate

8 0

3 years ago

A function is given by the equation h (x)=x 2 squared +6x-3. what is h (3)?

Leno4ka [110]

Your "h (x)=x 2 squared +6x-3" is ambiguous. If you meant "x squared," then you need only write x^2 OR "x squared," but NOT "x 2 squared."

I will assume that by "h (x)=x 2 squared +6x-3" you actually meant:

h(x)=x^2 +6x-3. To find h(3), subst. 3 for x: h(3) = (3)^2 + 6(3) - 3, or

h(3) = 9 + 18 - 3, or h(3) = 24.

5 0

4 years ago