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2 years ago

Rewrite the expression as a single logarithm: log 5 - log 7

Mathematics

2 answers:

Ber [7]2 years ago

6 0

Answer:

i answered u in your before question go check it

Step-by-step explanation:

Lady bird [3.3K]2 years ago

5 0

Answer:

-0.146

Step-by-step explanation:

log 5 = 0.699

log 7 = 0.845

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Find all roots: x^3 + 7x^2 + 12x = 0 <br> Show all work and check your answer.

Aliun [14]

The three roots of x^3 + 7x^2 + 12x = 0 is 0,-3 and -4

<u>Solution:</u>

We have been given a cubic polynomial.

$x^{3}+7 x^{2}+12 x=0$

We need to find the three roots of the given polynomial.

Since it is a cubic polynomial, we can start by taking ‘x’ common from the equation.

This gives us:

$x^{3}+7 x^{2}+12 x=0$

$x\left(x^{2}+7 x+12\right)=0$ ----- eqn 1

So, from the above eq1 we can find the first root of the polynomial, which will be:

x = 0

Now, we need to find the remaining two roots which are taken from the remaining part of the equation which is:

$x^{2}+7 x+12=0$

we have to use the quadratic equation to solve this polynomial. The quadratic formula is:

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Now, a = 1, b = 7 and c = 12

By substituting the values of a,b and c in the quadratic equation we get;

$\begin{array}{l}{x=\frac{-7 \pm \sqrt{7^{2}-4 \times 1 \times 12}}{2 \times 1}} \\\\{x=\frac{-7 \pm \sqrt{1}}{2}}\end{array}$

<em><u>Therefore, the two roots are:</u></em>

$\begin{array}{l}{x=\frac{-7+\sqrt{1}}{2}=\frac{-7+1}{2}=\frac{-6}{2}} \\\\ {x=-3}\end{array}$

And,

$\begin{array}{c}{x=\frac{-7-\sqrt{1}}{2}} \\\\ {x=-4}\end{array}$

Hence, the three roots of the given cubic polynomial is 0, -3 and -4

4 0

3 years ago

A group of 52 people attend a ball game. There were three times as many men as women in the group. Write and solve a system of e

kkurt [141]

Answer:

lets call the children, c, and call adult, a,

c+a= 52 eq 1: a=52-c

c=3a eq 2

take a's value from eq 1 and plug it into eq 2

c=3(52-c)

c=156-3c

4c=156

c=39 the number of children that attended the ball game.

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

What is slope of line f?

padilas [110]

<h3>Answer: The fraction 2/5</h3>

=========================================================

Explanation:

We have three points marked on this diagonal line. Each point has integer or whole number coordinates. I find it is easiest to start with the y intercept, which in this case, is the point (0,0). This is the origin.

From the origin, move 2 units up and 5 units to the right to arrive at the next neighboring point (5,2).

This shows that,

slope = rise/run = 2/5

The rise indicates how much we have gone up or down. The run is the amount you move to the right. If the rise is negative, then you have gone downhill. By "downhill", I mean when the graph is read from left to right.

-------

Optionally you can use the slope formula

m = (y2-y1)/(x2-x1)

with any two points you want from the graph.

4 0

2 years ago

A pyramid has a square base with sides that measure 10 cm and a height of 14 cm. What is the slant height of the pyramid

JulijaS [17]

Answer:

17.2 cm

Step-by-step explanation:

3 0