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3 years ago

Let f (x)=X2 -x. if (x)=132, then what is the value of x?

Mathematics

1 answer:

Alex73 [517]3 years ago

7 0

Multiply 132 ..... what does it equal? when an letter is x or another letter it is called a variable. since the variable is next to a number like that with no space you have to multiply the value of the variable and the given number. now finish the problem.

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At a shelter, 15% of the dogs are puppies. There are 60 dogs at the shelter. How many are puppies?

Jet001 [13]

60*.15=9
there are puppies

5 0

3 years ago

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One of the roots of the quadratic equation dx^2+cx+p=0 is twice the other, find the relationship between d, c and p

scZoUnD [109]

Answer:

$c^2 = 9dp$

Step-by-step explanation:

Given

$dx^2 + cx + p = 0$

Let the roots be $\alpha$ and $\beta$

So:

$\alpha = 2\beta$

Required

Determine the relationship between d, c and p

$dx^2 + cx + p = 0$

Divide through by d

$\frac{dx^2}{d} + \frac{cx}{d} + \frac{p}{d} = 0$

$x^2 + \frac{c}{d}x + \frac{p}{d} = 0$

A quadratic equation has the form:

$x^2 - (\alpha + \beta)x + \alpha \beta = 0$

So:

$x^2 - (2\beta+ \beta)x + \beta*\beta = 0$

$x^2 - (3\beta)x + \beta^2 = 0$

So, we have:

$\frac{c}{d} = -3\beta$ -- (1)

and

$\frac{p}{d} = \beta^2$ -- (2)

Make $\beta$ the subject in (1)

$\frac{c}{d} = -3\beta$

$\beta = -\frac{c}{3d}$

Substitute $\beta = -\frac{c}{3d}$ in (2)

$\frac{p}{d} = (-\frac{c}{3d})^2$

$\frac{p}{d} = \frac{c^2}{9d^2}$

Multiply both sides by d

$d * \frac{p}{d} = \frac{c^2}{9d^2}*d$

$p = \frac{c^2}{9d}$

Cross Multiply

$9dp = c^2$

$c^2 = 9dp$

Hence, the relationship between d, c and p is: $c^2 = 9dp$

8 0

3 years ago

11 nickels to 11 dimes are what ratio?

castortr0y [4]

Answer: 11:11

Step-by-step explanation:

The ratio is 11 nickles to 11 dimes, Take away the names of the coins and there is your answer. (If i'm correct)

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3 years ago

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the probability of a radar station detecting an enemy plane is 62%. if 50 stations are in use what is the probability of exactly

podryga [215]

This is binomial probability with n=50 and p=0.62.

We want binom(50,0.62,35).

One way to calculate this is to use a calculator with statistical functions.

My TI-83 Plus turned out the result 0.061.

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3 years ago

a pyramid with a square base that is 9 cm on a side has a height of 10 cm the volume of the pyramid is

Zanzabum

$\bf \textit{volume of a pyramid}\\\\
V=\cfrac{1}{3}Bh~~
\begin{cases}
B=area~of\\
\qquad its~base\\
h=height\\[-0.5em]
\hrulefill\\
B=\stackrel{9\times 9}{81}\\
h=10
\end{cases}\implies V=\cfrac{1}{3}(81)(10)\implies V=270$

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3 years ago