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anastassius [24]
3 years ago
14

Which function has zeros at x=-2 and x=5?

Mathematics
1 answer:
Licemer1 [7]3 years ago
7 0

Answer:

x^{2} - 3x - 10

Step-by-step explanation:

To start, lets form our polynomial factors from our zeroes.

x = -2

x + 2 = 0

x = 5

x - 5 = 0

Now lets put these into factored form by moving them into parenthesis and multiplying them with each other!

(x+2)(x-5)

We can start moving them out! I am going to use FOIL, but you could also use distributive or any other method/property.

x · x = x²

x · -5 = -5x

x · 2 = 2x

2 · 5 = 10

Now lets put our terms into our polynomial function, based on the order of the powers.

x^{2} - 3x - 10

We are done! Hope this helps!

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lora16 [44]
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-0.9x = 1.3
Now divide both sides by -0.9.
x = -1.4444..
This can be rounded to -1.44
</span><span>c) -1.44

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3 years ago
If marta travels 8 miles in 80 minutes how many miles will she travel in 210 minutes
Y_Kistochka [10]
It's easier if you know 1 minutes = ... miles

If, 80 minutes = 8 miles
Then, 1 minute = 0.1 mile

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7 0
3 years ago
A customer buys four products priced at $18, $22, $35 and $40 from the same store. The customer returns the most expensive produ
blondinia [14]
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5 0
3 years ago
HELLPPPPPPPP
Lapatulllka [165]

Answer:

1) The mistake u made is in the work step 2 when u transposed 4 to the side of 12 you should have changed the sign. It should have been multiplication.

2) Just recheck it once.

So, x was 48

Step-by-step explanation:

Equation:

x/4 - 5 = 7

Transpose 5 first.

So,

x/4 = 7 + 5

(Remember to change the sign when u transpose 5 to the RHS)

So,

x/4 = 12

Transpose 4.

So,

x = 12 × 4

x = 48

Recheck,

Substitute x with 48

48/4 - 5 = 7

Let's check:

48/4 = 12

Now 12 - 5 = 7

So, 7 = 7

Hope it helps

6 0
3 years ago
Read 2 more answers
Divide using long division. check your answers. 1. (x 3 – 13x 2 + 7x – 48) ÷ (x 2 + 3) 3. (x 3 + 5x 2 – 3x – 1) ÷ (x – 1) 5. (x
artcher [175]
1. We can conclude that the result of the division is x-13 with a remainder of 4x-9, or in other notation: x-13+ \frac{4x-9}{x^2+3}. Check the steps in the first image.

3. We can conclude that the result of the division is x^{2} +6x+3 with a remainder of 2, or in other notation: x^{2}+6x+3+ \frac{2}{x-1}. Check the steps in the firts image.

5. We can conclude that the result of the division is x+1 with a remainder of 5, or in other notation: x+1+ \frac{5}{x-4}. Check the steps in the first image.

7. To check if x+4 is a factor of x^{3}+3x^{2}-10x-24, we are going to perform long division. If the result of the long division has no remainder, x+4 is a factor of x^{3}+3x^{2}-10x-24.
Since the result of the long division has no remainder, we can conclude that x+4 is a factor of x^{3}+3x^{2}-10x-24. Check the steps in the second image.

9. To check if x-3 is a factor of x^{3}+3x^{2}-10x-24, we are going to perform long division. If the result of the long division has no remainder, x-4 is a factor of x^{3}+3x^{2}-10x-24.
Since the result of the long division has no remainder, we can conclude that x-4 is a factor of x^{3}+3x^{2}-10x-24. Check the steps in the third image.

10. We can conclude that the result of the synthetic division is -2x^{2}+9x+5. Check the steps in the fourth image. 

3 0
3 years ago
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