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2 years ago

Write the number 0.000 000 7 in standard form.

Mathematics

1 answer:

mestny [16]2 years ago

3 0

Answer:

7 x 10^-7

Step-by-step explanation:

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4 years ago

Complete the factorization of 3x ^ 2 - 10x + 8 3x^ 2 -10x+8=(x- Box x-4)

aniked [119]

Answer:

$3x^2-10x+8=(x-x_1)(x-x_2)=(x-2)(x-\frac{4}{3})$

Step-by-step explanation:

The general form of a quadratic polynomial is given by:

$ax^2+bx+c$ (1)

You have the following polynomial:

$3x^2-10x+8$ (2)

In order to complete the factorization you can use the quadratic formula, to obtain the roost of the polynomial. The quadratic formula is given by:

$x_{1,2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$ (3)

By comparing the equation (1) with the equation (2) you obtain:

a = 3

b = -10

c = 8

Then, you replace these values in the equation (3):

$x_{1,2}=\frac{-(-10)\pm \sqrt{(-10)^2-4(3)(8)}}{2(3)}\\\\x_{1,2}=\frac{10\pm2}{6}\\\\x_1=2\\\\x_2=\frac{4}{3}$

Then, the factorization of the polynomial is:

$3x^2-10x+8=(x-x_1)(x-x_2)=(x-2)(x-\frac{4}{3})$

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3 years ago

A rectangular living room has a perimeter of 30 meters. Its area is 50 square meters. What are the dimensions of the living room

Rashid [163]

Answer:

The one of (L,b)= (5m, 10m) is the only correct answer.

Step-by-step explanation:

P= 2(L+b)

A= L×b

make b subject of formula in area we have;

b= A/L

in perimeter; p= 2(L +(A/L))

p= (L²+A)/L

pL= L²+A

L²-pL+A= 0

L²-30L+50=0

L²-25L-5L+50=0

L(L-25)-5(L-25)=0

(L-5)(L-25)= 0

L= 5 or 25m

substitute in A

50= 5b or 50= 25b

b= 10 or 2m

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3 years ago