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3 years ago

What is the answer of 3[4(2³)-5²+7(8+4²)-16]?

Mathematics

1 answer:

Montano1993 [528]3 years ago

8 0

3 x (-9 +7 x (8 + 16))

3 x (-9 + 7 x 24)

3 x (-9 + 168)

3 x 159

477

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Find the product and sum of the roots of the equation:<br> 2x^2-9x-10=0

BabaBlast [244]

Answer:

<h3> sum of the roots: $x_1+x_2=4\frac12$ </h3><h3> product of the roots: $x_1x_2=-5$ </h3><h3> Step-by-step explanation:</h3>

$2x^2-9x-10=0\quad\implies\quad a=2\,,\ b=-9\,,\ c=-10$

$b^2-4ac=(-9)^2-4(2)(-10)=81+80=161>0$

From Vieta's formulas applied to quadratic polynomial we have:

if $b^2-4ac\geqslant0$ then

sum of roots: $x_1+x_2=-\dfrac ba=-\dfrac{-9}2=4\frac12$

product of the roots: $x_1x_2=\dfrac ca=\dfrac{-10}2=-5$

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3 years ago

2. John earns a 3% commission for every car he sells. Today he sold a car for $13,600. How much commission did he receive? (To f

OlgaM077 [116]

Answer:

$408

Step-by-step explanation:

Find 3% of $13,600:

3 * 13,600 / 100 = $408

7 0

3 years ago

In 4 hours, an experienced cook prepares enough pies to supply a local restaurant's daily order. Another cook prepares the sam

vodka [1.7K]

Answer:

$9\frac{1}{3}hours$

Step-by-step explanation:

Let third cook take x hours to prepare the same number of pies y alone

Let y be the number of pies

In 1 hour ,third cook prepare pies= $\frac{y}{x}$

One experienced cook takes time to prepare enough pies =4 hours

In 1 hour , cook prepare pies= $\frac{y}{4}$

Another cook takes time to prepare same number of pies =7 hours

In 1 hour , another cook prepare pies= $\frac{y}{7}$

All three cooks take time to prepare the same number of pies=2 hours

In 1 hour,all three cooks prepare pies= $\frac{y}{2}$

According to question

$\frac{y}{4}+\frac{y}{7}+\frac{y}{x}=\frac{y}{2}$

$y(\frac{1}{4}+\frac{1}{7}+\frac{1}{x})=\frac{y}{2}$

$\frac{1}{4}+\frac{1}{7}+\frac{1}{x}=\frac{1}{2}$

$\frac{1}{x}=\frac{1}{2}-\frac{1}{4}-\frac{1}{7}$

$\frac{1}{x}=\frac{14-7-4}{28}=\frac{3}{28}$

$x=\frac{28}{3}=9\frac{1}{3}$ hours

Hence, the third cook takes time to prepare the same number of pies alone= $9\frac{1}{3}hours$

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3 years ago

Find the range of f(x)=-2x+6 for the domain {-1, 3, 7, 9}

velikii [3]

Answer:

8, 0, -8, -12

Step-by-step explanation:

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3 years ago

If you want to know the probability of spinning a spinner in a game that has 8 equal-sized

aleksandr82 [10.1K]

the answer is 1/8. Because you divide how many pieces there are by that same number.

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3 years ago

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