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4 years ago

How do you turn -3.625 into a fraction.

Mathematics

2 answers:

sweet-ann [11.9K]4 years ago

8 0

$-3.625=-\frac{3625}{1000}=(*)\\\\divide\ the\ numerator\ and\ the\ denominator\ by\ 125\\\\(*)=-\frac{29}{8}$

noname [10]4 years ago

5 0

-3.625

=-(3000/1000)-(625/1000)

=-3625/1000

=-725/200

=-145/40

=-29/8

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By the age of 21, the best violinist and pianist will have practiced at least 10,000 hours. If you practice and instrument 45 mi

Alika [10]

Answer:

273.94 hours.

Step-by-step explanation:

1 day = 0.75 hours of practicing in a day.

365.25 = x

1/365.25 = 0.75/x Cross multiply

x = 0.75 * 365.25 Combine

x = 273.94 hours

8 0

3 years ago

The cost of turkey is directly proportional to its weight. If a 12-pount turkey costs $27, how much does a 13-pound turkey cost?

Pavel [41]

Answer:

$29.25

Step-by-step explanation:

Divide the cost of the turkey by 12 to obtain the unit cost then multiply this by 13

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6 0

4 years ago

Read 2 more answers

Change 0.150 to a fraction.

Svetlanka [38]

Step-by-step explanation:

150/1000 and then you you have to simplify it

4 0

4 years ago

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Use Cramer's Rule to solve each system.<br> 5x – 3y = 8<br> -2x - y = 10

zlopas [31]

Answer:

-2, -6

Step-by-step explanation:

using cramer rule

5 -3

-2 -1

calculatiing the determinant = (5 x-1) - (-3x-2) = -5 -(6) = -5-6=-11

using cramer rule

to calculate x we change the coefficient of x with the answer (8,10)

8 -3

10 -1

we calculate determinant = (8x-1)-(-3x10) = -8-(-30) = -8+30 =22

to calculate x

22/-11= -2

to calculate y we change the coefficient of y with the answer (8,10)

5 8

-2 10

we calculate determinant = (5x10)-(8x-2) = 50 -(-16) = 50 +16=66

to calculate y

66/-11= -6

6 0

3 years ago

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F(x) = x2 – 3x – 2 is shifted 4 units left. The result is g(x). What is g(x)?

Ray Of Light [21]

$\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\\\

\begin{array}{rllll} 
% left side templates
f(x)=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
y=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
f(x)=&{{ A}}\sqrt{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}}(\mathbb{R})^{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}} sin\left({{ B }}x+{{ C}} \right)+{{ D}}
\end{array}$

$\bf \begin{array}{llll}
% right side info
\bullet \textit{ stretches or shrinks horizontally by } {{ A}}\cdot {{ B}}\\\\
\bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}
\\\\
\bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\
\qquad if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\
\qquad if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\
\end{array}$

$\bf \begin{array}{llll}


\bullet \textit{ vertical shift by }{{ D}}\\
\qquad if\ {{ D}}\textit{ is negative, downwards}\\\\
\qquad if\ {{ D}}\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{{{ B}}}
\end{array}$

now... your expression is not in vertex form, that's ok... to do a horizontal shift to the left by 4 units, we can simply, add the C and B component to the "x" variable, C=4, B =1, that way the horizontal shift of C/B or 4/1 is just +4, giving us a horizontal shift to the left

$\bf f(x)=x^2-3x-2\impliedby \textit{let's change that for }f(1x+4)
\\\\\\
f(1x+4)=(1x+4)^2-3(1x+4)-2
\\\\\\
f(x+4)=x^2+8x+16-3x-12-2
\\\\\\
f(x+4)=x^2-5x+2\impliedby g(x)$

8 0

3 years ago

Read 2 more answers