Find x. Round to the nearest tenth:

Mathematics

1 answer:

Bumek [7]2 years ago

3 0

400 times 31 is 858 so if you divide that you get 435

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36ounces= how many pints

Bumek [7]

Answer:

Step-by-step explanation:

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Jillian read for 120 minutes. Sarah read for 180 minutes. Lexie said that Sarah read for 60 minutes more than Jillian.

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Can the vertex also be a solution of a graphed parabola?

stiv31 [10]

One important feature of the parabola is that it has an extreme point, called the vertex. If the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value of the quadratic function.

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What is the value of x? Enter your answer in the box. x =

galina1969 [7]

The answer is: " 11 " .
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→ " x = 11 " .
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Explanation:
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Set up the ratio/ proportion as a fraction:

6 cm / 48 cm = 5 cm / (3x + 7) ;

→ The "cm" units cancel out; since: "cm/cm = 1 " ;

→ The "6/48" = "(6 ÷ 6) / (48 ÷ 6) = " 1/8 " ;

→ Rewrite as: $\frac{1}{8} = \frac{5}{3x + 7}$ ;

Now, we can "cross-multiply" :
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Note: $Given: \frac{a}{b} = \frac{c}{d}$ ; $ad = bc$ ;
{b $\neq 0$ ; d $\neq 0$ } .
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As such:

1 * (3x + 7) = 8 * 5 ;

→ 3x + 7 = 40 ;

Subtract "7" from each side of the equation:

→ 3x + 7 − 7 = 40 − 7 ;

to get:

→ 3x = 33 ;

Now, divide each side of the equation by "3" ;
to isolate "x" on one side of the equation; & to solve for "x" ;

→ 3x / 3 = 33 / 3 ;

to get:
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→ " x = 11 " .
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→ The answer is: " 11 " .
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What is the rate of change for f(x) =7 sin x-1 on the interval from x=0 to x=piover 2

Oksi-84 [34.3K]

$\bf slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby 
\begin{array}{llll}
average\ rate\\
of\ change
\end{array}\\\\
-------------------------------$

$\bf f(x)= 7sin(x)-1 \qquad 
\begin{cases}
x_1=0\\
x_2=\frac{\pi }{2}
\end{cases}\implies \cfrac{f\left( \frac{\pi }{2} \right)-f(0)}{\frac{\pi }{2}-0}
\\\\\\
\cfrac{[7\cdot 1-1]~-~[7\cdot 0-1]}{\frac{\pi }{2}}\implies \cfrac{6-(-1)}{\frac{\pi }{2}}\implies \cfrac{6+1}{\frac{\pi }{2}}\implies \cfrac{7}{\frac{\pi }{2}}\implies \cfrac{14}{\pi }$

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3 years ago