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2 years ago

At which root does the graph of f(x)=(x+4)^6(x+7)^5 cross the x-axis ?

Mathematics

2 answers:

ddd [48]2 years ago

6 0

Answer:

-7

Step-by-step explanation:

The equation is simplified so there are two possible answers here, -4 and -7

There is a root where y = 0 and x = a number

At -4 and -7 y = 0

However at -4 the function bounces since the (x+4) is raised to the 6th power.

When you have an even power, the function bounces at the x-axis, and when you have an odd power the function goes through the x-axis.

Since you can only choose one answer, the logical answer would be -7.

At x = -7, y = 0 and the function crosses the x-axis.

At x = -4, y = 0 but the function bounces on the x-axis.

The logical answer here is -7.

Sindrei [870]2 years ago

4 0

Answer:

Step-by-step explanation:

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Simplify 4 to the 7th over 5 squared all raised to the 3rd power

alisha [4.7K]

<h2>Answer:</h2>

$\left(\frac{4^{21}}{5^6}\right)$

4 to the 21st over 5 to the 6th.

<h2>Step-by-step explanation:</h2>

First, we need to write our expression. Let's do it step by step:

$4^7$

<u>5 squared:</u>

$5^2$

<u>4 to the 7th over 5 squared:</u>

$\frac{4^7}{5^2}$

<u>4 to the 7th over 5 squared all raised to the 3rd power:</u>

<u> $\left(\frac{4^7}{5^2}\right)^3$ </u>

Using the law of exponents:

$\left(\frac{4^{7\times 3}}{5^{2\times 3}}\right) \\ \\ \left(\frac{4^{21}}{5^6}\right)$

Finally, the answer is 4 to the 21st over 5 to the 6th.

8 0

2 years ago

Read 2 more answers

Answer pls urgent shhzhzhsensnsj

Strike441 [17]

Answer:

1/6 + 1/2 = 1/6 + 3/6 = 4/6

SIMPLIFIED IS = 2/3

Step-by-step explanation:

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2 years ago

Identifying the slope, y-intercept and x- intercept of each

Elena L [17]

Answer:

slope= -3

y-intercept= 6

Step-by-step explanation:

1. Approach

To solve this problem, one needs the slope and the y-intercept. First, one will solve for the slope, using the given points, then input it into the equation of a line in slope-intercept form. The one can solve for the y-intercept.

2.Solve for the slope

The formula to find the slope of a line is;

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Where (m) is the variable used to represent the slope.

Use the first two given points, and solve;

(1, 3), (2, 0)

Substitute in,

$\frac{(0)-(3)}{(2)-(1)}$

Simplify;

$\frac{-3}{1}\\\\=-3$

3. Put equation into slope-intercept form

The equation of a line in slope-intercept form is;

$y = mx + b$

Where (m) is the slope, and (b) is the y-intercept.

Since one solved for the slope, substitute that in, then substitute in another point, and solve for the parameter (b).

$y=-3x+b$

Substitute in point (3, -3)

$-3=-3(3)+b\\-3 = -9 + b\\6 = b$

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The line 3x+4y=24 cuts the x axis at point A and y axis at point B<br><br> Find the lenght if AB

sweet [91]

Length A is (8,0) and the length of B is (0,6)

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