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Svetradugi [14.3K]
3 years ago
15

Background

Mathematics
1 answer:
iragen [17]3 years ago
7 0
$3.19 for each gallon.
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4. Divide, using synthetic division: 16x^3 +80x^2+x+5/x+5
fgiga [73]

Answer:

Step-by-step explanation:

x+5=0

x=-5

-5) 16   80   1    5

  |       -80   0  -5

 ____________

  | 16    0    1  | 0

quotient=16x²+1

Remainder=0

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
When multiplying two numbers that are written in scientific notation what do you do with the exponents of the 10
lisabon 2012 [21]
You multiply the exponents of the 10
6 0
3 years ago
What is the value of c in the function x^2-7x+c to make it a perfect square trinomial?
evablogger [386]

Answer:

c = 49/4

Step-by-step explanation:

The given expression is x^2 - 7x + c

This trinomial must be a perfect square.

Therefore, c must be a prefect square number.

So b^2 - 4ac = 0. That is discriminant must be equal to zero.

In the given expression a =1 and b = -7

Now plug in these values in the discriminant formula.

(-7)^2 - 4*1*c = 0

49 -4c = 0

4c = 49

c =  49/4

x^2 - 7x + 49/4 = (x - 7/2)^2

which is perfect square trinomial.

Thank you.

5 0
3 years ago
Tiles are ordered in "squares" that contain about 171 tiles in each square.The Lees need 21 squares for the entire roof. How man
aleksandrvk [35]

If a square contains 171 tiles you will need multiply 21 by 171 (171x21) which should give you the amount for the entire roof.

Hope this helps! :)

5 0
3 years ago
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