3 years ago

Find the domains of the following expressions: 5/the square root of 5-5x

Mathematics

1 answer:

AleksandrR [38]3 years ago

7 0

Interval notation

(-infinity sign, 1)

Set-builder notation

{x|x less than equal to 1}

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Please help!! Write the sum using summation notation, assuming the suggested pattern continues. -9 - 4 + 1 + 6 + ... + 66

fiasKO [112]

$r=-4-(-9)=-4+9=5 \\ \\ a_{1}=-9 \\ \\ a_{n}=66 \\ \\ a_{n}=a_{1}+(n-1)r \\ \\ -9+5(n-1)=66 \\ \\ -9+5n-5=66 \\ \\ 5n-14=66 \\ \\ 5n=80 \\ \\ n=16 \\ \\ S_{n}= \frac{a_{1}+a_{n}}{2} *n \\ \\ S_{n}= \frac{-9+66}{2}*16=57*8=456$

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2 years ago

A bond is initially bought for $250. It doubles in value every decade.Write an equation relating v, the value of the bond, to d,

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Answer:

V=250(2d)

Step-by-step explanation:

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3 years ago

(X-3) (2x-3)= (x-3) (x+1) solve for x

yanalaym [24]

$(x - 3)(2x - 3) = (x - 3)(x + 1)$

Do the multiplication both sides,

$2 {x}^{2} - 9x + 9 = {x}^{2} - 2x - 3$

Arrange the terms to LHS according to their variables,

$2 {x}^{2} - {x}^{2} - 9x + 2x + 9 - 3 = 0 \\ {x}^{2} - 7x + 6 = 0$

Factorise this polynomial

${x}^{2} - 6x - 6x + 6 = 0 \\ x(x - 6) - (x - 6) = 0 \\ (x - 1)(x - 6) = 0$

So what we notice here is when you're multiplying two numbers you're getting 0 as answer.

So one of them must be 0.

If (x-1) is 0
then x = 1

similarly,

x-6=0

then, x= 6.

So the possible values of x are 1 and 6.

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3 years ago

Read 2 more answers

Find the prime factorization of each number.<br> 1. 50 =

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Answer:

1.5 is not a prime number

Step-by-step explanation:

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3 years ago

Alice and her sister picked 57 and 23 roses respectively. How many roses should Alice give to her sister to have the same number

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