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asambeis [7]
3 years ago
15

The graph of y=54x+1 is shown below. The coordinate (0,y) is a solution of the equation. Given the x–value of 0, what is the val

ue of the y–coordinate for the coordinate (0,y)

Mathematics
1 answer:
Serggg [28]3 years ago
7 0

the y value is one ? just insert the 0 into the x which would make the 54 disappear and leave you with y=1


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He's using the graduated cylinder method. I think the volume might be between 15 and 20. (It's kind of not obvious...)
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If a watermelon weighs 6 255 grams and a scales measures the weight 6 475 grams. What is the scales percent error
Liono4ka [1.6K]

Answer:scales percent error=3.51%

Step-by-step explanation:

P ercent error = Experimental value - Theoretical value /Theoretical value  x 100

Theoretical value = 6255 grams

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Percent error =(6475- 6255)grams / 6255grams x 100

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Find the common ratio of the geometric sequence –5,–30, -180,...
Murljashka [212]

Answer:

6

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You have to find what to multiply by to get to the next term

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5 0
2 years ago
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Sonbull [250]
Since the volume of a rectangular prism is V=lwh, we can isolate for h to obtain that h=V/(lw).

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8 0
1 year ago
Given the quadratic function f(x) = 4x^2 - 4x + 3, determine all possible solutions for f(x) = 0
solong [7]

Answer:

The solutions to the quadratic function are:

x=i\sqrt{\frac{1}{2}}+\frac{1}{2},\:x=-i\sqrt{\frac{1}{2}}+\frac{1}{2}

Step-by-step explanation:

Given the function

f\left(x\right)\:=\:4x^2\:-\:4x\:+\:3

Let us determine all possible solutions for f(x) = 0

0=4x^2-4x+3

switch both sides

4x^2-4x+3=0

subtract 3 from both sides

4x^2-4x+3-3=0-3

simplify

4x^2-4x=-3

Divide both sides by 4

\frac{4x^2-4x}{4}=\frac{-3}{4}

x^2-x=-\frac{3}{4}

Add (-1/2)² to both sides

x^2-x+\left(-\frac{1}{2}\right)^2=-\frac{3}{4}+\left(-\frac{1}{2}\right)^2

x^2-x+\left(-\frac{1}{2}\right)^2=-\frac{1}{2}

\left(x-\frac{1}{2}\right)^2=-\frac{1}{2}

\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}

solving

x-\frac{1}{2}=\sqrt{-\frac{1}{2}}

x-\frac{1}{2}=\sqrt{-1}\sqrt{\frac{1}{2}}                 ∵ \sqrt{-\frac{1}{2}}=\sqrt{-1}\sqrt{\frac{1}{2}}

as

\sqrt{-1}=i

so

x-\frac{1}{2}=i\sqrt{\frac{1}{2}}

Add 1/2 to both sides

x-\frac{1}{2}+\frac{1}{2}=i\sqrt{\frac{1}{2}}+\frac{1}{2}

x=i\sqrt{\frac{1}{2}}+\frac{1}{2}

also solving

x-\frac{1}{2}=-\sqrt{-\frac{1}{2}}

x-\frac{1}{2}=-i\sqrt{\frac{1}{2}}

Add 1/2 to both sides

x-\frac{1}{2}+\frac{1}{2}=-i\sqrt{\frac{1}{2}}+\frac{1}{2}

x=-i\sqrt{\frac{1}{2}}+\frac{1}{2}

Therefore, the solutions to the quadratic function are:

x=i\sqrt{\frac{1}{2}}+\frac{1}{2},\:x=-i\sqrt{\frac{1}{2}}+\frac{1}{2}

4 0
2 years ago
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