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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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Draw a mapping diagram (1,0) (3,0) (5,4) (7,4) (9,4)

Anton [14]

Answer:

See attachment

Step-by-step explanation:

In other to draw a mapping diagram for the ordered pairs (1,0) (3,0) (5,4) (7,4) (9,4).

We identify the domain and range:

The domain is the set of the first coordinates of the ordered pairs.

Domain={1,3,5,7,9}

The range is the set of all the second coordinates.

Range: {0,4}

3 0

2 years ago

The measure of one of the small angles of a right triangle is 14 more than 3 times the measure of the other small angle. Find th

anzhelika [568]

Step-by-step explanation:

Lets assume that angle of right angle trangles are <a,<b and <c

here one of the angle is 90°

so, <a=90°

now,

By the question

<c=3×<b+14

again,

<a+<b+<c=180° (being sum of interior angles of trangles)

90°+<b+(3×<b+14)=180° ( including the value of <a and <c)

90°+<b+3<b+14=180°

4<b=180-90-14

<b=86/4

<b=19°

<c=3×<b+14

=3×19+14

<c=71

smallest angle is 19°

and another small angle is 71°

3 0

2 years ago

see i don't mind giving my points away..Can anyone help me solve this though for a brainlest and extra points?

victus00 [196]

Answer:

a= $17\sqrt{2}$

Step-by-step explanation:

As we have 2 of the angles, we can find the third. The measure of the third angle is 45 degrees.

As this is the same measure as the other, that means that the side length will be the same.

Now was have two side lengths of 17 in a right triangle, so we can use the Pythagorean theorem to find a.

Recall that the pythagorean theorem states: $a^2+b^2=c^2$

In this case, a is 17, b is 17, and c is a

Knowing this, we can input our value into this formula and solve for a.

$17^2+17^2=a^2\\\\289+289=a^2\\\\a=\sqrt{578} \\\\a=17\sqrt{2}$

6 0

2 years ago

Read 2 more answers

Need help ASAP!!!!!

Mashutka [201]

<span>The distance from the vertex to the centroid is twice the distance from the centroid to the side.
This means that 3x + 5 = 2 * (2x)

</span><span>3x + 5 = 4x

x = 5

Source:
http://www.1728.org/trictr.htm

</span>

3 0

3 years ago

Asappppp!!!!!!!!!!!!!!!!!!!!!!!!

Scrat [10]

42 because x is equal to its corresponding side

7 0

3 years ago