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kolbaska11 [484]
3 years ago
8

Which statement describes the graph f(x)=4x^7+40x^6+100x^5?

Mathematics
1 answer:
Anestetic [448]3 years ago
8 0

Answer:

Graph crosses the x-axis at x = 0 and has zeros at {-5, -5}.

Step-by-step explanation:

Note that f(x) factors as follows:  f(x) = 4x^5 (x^2 + 10x + 25), which in turn factors into f(x) = 4x^5 (x + 5)^2.

To find the zeros, we set this f(x) = to 0 and solve for x:

{0, -5, -5}.

Thus, we can immediately eliminate the first two possible answers.

The factor x^5 tells us that the graph crosses the x-axis at 0.  If we had x^6, which is an even power of x, the graph would only touch the x-axis at 0.

The correct answer choice is the third one.

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Comapny a charges $117 and allows unlimited mileage
Rufina [12.5K]

Answer:

If we are working in a coordinate plane where the endpoints has the coordinates (x1,y1) and (x2,y2) then the midpoint coordinates is found by using the following formula:

midpoint=(x1+x22,y1+y22)

Step-by-step explanation:

5 0
3 years ago
12-2(n-1)=-18<br><br> aa help plzz
Luda [366]

Answer:

n=16

Step-by-step explanation:

Let's solve your equation step-by-step.

12−2(n−1)=−18

Step 1: Simplify both sides of the equation.

12−2(n−1)=−18

12+(−2)(n)+(−2)(−1)=−18(Distribute)

12+−2n+2=−18

(−2n)+(12+2)=−18(Combine Like Terms)

−2n+14=−18

−2n+14=−18

Step 2: Subtract 14 from both sides.

−2n+14−14=−18−14

−2n=−32

Step 3: Divide both sides by -2.

−2n /−2  =  −32 /−2

n=16

8 0
3 years ago
An isosceles triangle has base angles that each measure 39 °. Which equation can be used to fi nd t, the measure of the third an
Montano1993 [528]

Answer: 102°

Step-by-step explanation:

First and foremost, we should note that an isosceles triangle has two sides that are equal and that the sum of angles in a triangle equals to 180°.

Since we are told that the isosceles triangle has base angles that each measure 39°, the third angle will be:

t + 39° + 39° = 180°

t + 78° = 180°

t = 180° - 78°

t = 102°

The third angle is 102°.

5 0
3 years ago
Please help quickly will mark the brainlist!
cestrela7 [59]

Answer:

\frac{2}{5}

Step-by-step explanation:

There all 10 total options to choose from.

Denominator is 10.

There are 4 purple ones, so \frac{4}{10} -> \frac{2}{5}

4 0
3 years ago
Read 2 more answers
3x+4y-3z=4;5x-y+2z=3;x+2y-z=-2 Solving Systems in three variables​
Harlamova29_29 [7]

Answer:  x = 3, y = 1, z = 2

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

EQ 1:   x  -   y  - z = 0

EQ 3:<u> -x + 2y + z =  1 </u>

                  y       = 1

EQ 2: 2x - 3y + 2z = 7  →  1(2x - 3y + 2z = 7)  →  2x - 3y + 2z = 7

EQ 3:  -x + 2y +  z = 1   → -2( -x + 2y +  z = 1)  → <u>-2x + 4y + 2z = 2</u>

                                                                                      y + 4z = 9

                                                                    y = 1  ⇒     1  + 4z = 9

                                                                                            4z = 8

                                                                                              z = 2

Input y = 1 and z = 2 into one of the equations to solve for x:

EQ 1: x - y - z = 0

        x - (1) - (2) = 0

        x - 3 = 0

        x = 3

Check:

EQ 2: 2x - 3y + 2z = 7

         2(3) - 3(1) + 2(2) = 7

          6    -  3    +  4    = 7

                3        +  4    = 7

                               7   =  7   \checkmark

6 0
3 years ago
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