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Simora [160]
3 years ago
8

Can u help me step by step need to fill in the blanks

Mathematics
2 answers:
Rina8888 [55]3 years ago
6 0
-18a+17b is the answer because you multiply by -1 to each
Vika [28.1K]3 years ago
3 0
The minus sign outside of the parentheses can actually be represented with -1 instead.

this means that you must distribute (multiply) -1 by the numbers inside of the parentheses.

keep in mind that when you multiply the -1 by the 2nd number inside, and the operation is subtract, instead of 17b, it would be -17b.

-1 • 18a = -18a
-1 • -17b = -17b

the final answer would be -18a + 17b :)
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What is 2 log 5 + 5 log x written as a single logarithm?
garik1379 [7]

Answer:

log (25 x^5)

Step-by-step explanation:

2 log 5 + 5 log x

We know alog b = log b^a

log 5^2 + log x^5

We know log a + log b = log (a*b)

log ( 5^2 * x^5)

5^2 = 25

log (25 x^5)

7 0
3 years ago
Read 2 more answers
70 pointsss for the correct answer
nignag [31]

Answer:

f(x) = 12x³ - 19x² + 17x - 17

Step-by-step explanation:

We can the numerator by multiplying the denominator by the quotient, and then adding the remainder.

We're given a denominator of 4x - 5

a quotient of 3x² - x + 3

and a remainder of -2

so the original numerator is:

(4x - 5)(3x² - x + 3) - 2

= 12x³ - 4x² + 12x - 15x² + 5x - 15 - 2

= 12x³ - 19x² + 17x - 17

Let's test that by dividing it by 4x -5 with long division:

\ \ \ \ \ \ \ \ \ \  3x^2 - x + 3\\4x - 5\overline{)12x^3 - 19x^2 + 17x - 17}\\.\  \ \ \ \ \ \ \ \ \underline{2x^3 - 15x^2}\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \  -4x^2 + 17x\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \underline{-4x^2 + 5x} \\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 12x - 17\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \underline{12x - 15}\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 2R

That matches, so we know our answer's right, and:

f(x) = 12x³ - 19x² + 17x - 17

3 0
3 years ago
The landscaper pours 200 gallons of herbicide in a pond. The herbicide degrades 10% each week. How much will be in the pond afte
weeeeeb [17]

Answer:

180 gallons

Step-by-step explanation:

200 gal

10% = .10

200 x .10 = 20

200 - 20 = 180


5 0
4 years ago
Read 2 more answers
How is dividing and multiplying with an area model similar and How is it different?
MrRissso [65]

Answer:

In multiplication the numbers you multiply are called factors; the answer is called the product. In division the number being divided is the dividend, the number that divides it is the divisor, and the answer is the quotient.

8 0
3 years ago
Hey Mahfia, please help! Find an equation in standard form for the hyperbola with vertices at (0, ±10) and asymptotes at
Dafna1 [17]

Answer:

\huge\boxed{  \red{ \boxed{ \tt{ \frac{ {y}^{2} }{ {10}^{2} }  -  \frac{ {x}^{2} }{ {12}^{2} }  = 1}}}}

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • conic sections
  • PEMDAS
<h3>tips and formulas:</h3>
  • \sf hyperbola \:equation :  \\  \sf  \frac{ {x}^{2} }{ {a}^{2} }   -  \frac{ {y}^{2} }{ {b}^{2} }  = 1
  • vertices of hyperbola:(±a,0) and (0,±b) if reversed
  • \sf \: asymptotes :  \\ y =   \pm\frac{b}{a} x
<h3>given:</h3>
  • vertices: (0,±10)
  • the hyperbola equation is inversed since the vertices is (0,±10)
  • asymptotes:\pm \frac{5}{6}x
<h3>let's solve:</h3>
  • the asymptotes are in simplest and we know b is ±10

according to the question

  1. y =  \sf  \frac{5 \times 2}{6 \times 2} x \\ y =  \frac{10}{12} x

therefore we got

  • a=12
  • b=10

note: the equation will be inversed

let's create the equation:

  1. \sf substitute \: the \: value \: of \: a \: and \: b :  \\  \sf  \frac{ {y}^{2} }{ {10}^{2} }  -  \frac{ {x}^{2} }{ {12}^{2} }  = 1

3 0
3 years ago
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