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3 years ago

Write a quadratic function f whose zeros are - 5 and 7.

1 answer:

3 0

Our two binomials are (X-5)(X-7)

If we FOIL those two terms [x*x = x2; x*-7 = -7x; x*-5 = -5x; -5*-7 = 35] and combine the like terms, we're left with one of many quadratic function
Answer
x2-12x+35

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Expand a logarithmic expression

ivanzaharov [21]

The logarithmic expression is

$log (\sqrt{z^5}/(x^3y))$

To expand the expression we have to use some properties of logarithm.

We know that $log(m/n) = log (m) - log(n)$

By using this property we can write,

$log(\sqrt{z^5}) - log(x^3y)$

Square root means to the power 1/2, so for $\sqrt{z^5}$ , we can write $z^(5/2)$ .

$log(z^(5/2)) - log(x^3y)$

Now we have to use another property of logarithm.

We know that, $log(mn) = log(m) + log(n)$

So we will use this property to $log(x^3y)$

$log(z^(5/2)) - log(x^3y)$

$log(z^(5/2)) - (log(x^3) + log(y))$

$log(z^(5/2)) - log(x^3) - log(y)$

Now we have to use another property of logarithm.

We know that, $log(a^m) = m log(a)$

By using this property we can write,

$(5/2)log(z) - 3log(x) - log(y)$

This is the required aswer here.

8 0

3 years ago

Read 2 more answers

PLEASE HELP!!! Find the distance between the following two points: (3,7) and (5,0). Round to the nearest TENTH.

snow_lady [41]

Step-by-step explanation:

7.3 when rounded to the nearest tenth

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3 years ago

A grocery clerk put only packages of flour tortillas and packages of corn tortillas on a shelf . The ratio of the number of pack

Artist 52 [7]

Answer:

The number of packages of flour tortillas is a 9 multiple.

Step-by-step explanation:

Given there are only packages of flour tortillas and packages of corn tortillas on the shelf.

Let the number of flour tortillas be x and the number of corn tortillas be y

therefore the total number of packages are x+y.

Given the ratio of the number of packages of corn tortillas to the total number of packages on the shelf was 7 to 16.

which means $\frac{y}{x+y} = \frac{7}{16}$

$16y = 7x+7y$

$7x=9y$

$x=\frac{9y}{7}$

since both x and y are integers y is in the form of 7k where k∈N.

$x=9k$

Therefore x is a 9 multiple.

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3 years ago

Rewrite 2 4/7 as an improper fraction

Nataliya [291]

2 = 14 now add the extra 4/7 and you will get 18/7.
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2 4
 7 using the algorithm (a shortcut way) 2x7=14+4=18 and put that 18 over the denominator 7. Done!

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3 years ago

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10. Is it possible to divide 15 by a mixed number and get a quotient that is greater than 15? Explain.

bazaltina [42]

Mixed numbers are greater than one. it wouldn't make sense for a mixed number to be less than one, because then it would just be a regular fraction.

you can only get a bigger number if you divide by a number less than one. that means you can't divide 15 by a mixed number and get a bigger number.

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3 years ago