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Nastasia [14]
4 years ago
6

Explain how you know whether to add or subtract when you use the Distributive property to multiply.

Mathematics
1 answer:
Bumek [7]4 years ago
7 0
Depending on the answer of the problem if it’s negat the sign is so on and so fourth
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What is the y value of the vertex
Alenkasestr [34]

Answer:

y value = 49

Step-by-step explanation:

You are going to be completing the square

y = - x^2 - 10x + 24           Take a minus outside the brackets for the first 2 terms.

y = - (x^2 + 10x) + 24

Take 1/2 the linear term (1/2 10 and square it. Put that value inside the brackets. 1/2* 10 =5; 5^2 = 25

y = - (x^2 + 10x + 25) + 24

Add 25 outside the brackets.

y = -(x^2 + 10x + 25) + 24 + 25. You should stop here and consider why you are adding 25 outside the brackets. It is because there is a - sign in front of the trinomial and what is inside the brackets is really - 25 when the brackets are removed. Therefore to balance that, you add 25.

Now complete the square.

y = - ( x + 5)^2 + 49

The value you seek is 49.

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

I'll confirm this with a graph.

4 0
4 years ago
Use Order of Operations to simplify. 8 + 7(42–3)​
Rina8888 [55]

Answer:

281

Step-by-step explanation:

8 + 7(42–3)​ =

= 8 + 7(39)

= 8 + 273

= 281

4 0
3 years ago
1. Choose an apropiate metric unit for the mass of a typical house cat
Elenna [48]
1. Kilogram
2. Peach
3. 0.0032715 grams
4. 538,836 mL
5. 1.65m
6. 840

4 0
3 years ago
Please help with the questions in the image
iren2701 [21]

Step-by-step explanation:

This seems to be calculus 1.

<u>Question a</u>

We have -2x^3 + 5x^2 + 9

m = slope = derivative

Find the derivative / slope of -2x^3 + 5x^2 + 9

We do this by differentiating the polynomials. There are a few methods to do this but I am going to use the power rule, which we multiply the constant by the exponent on the variable and subtract one from the exponent.

\frac{d}{dx}(-2x^3 + 5x^2 + 9)

-6x^2 + 10x

m = -6x^2 + 10x when x = a

<em>Now that we have this information, we can answer question b</em>

<u>Question b</u>

<u>The tangent line for Point (1, 12)</u>

First find the slope by using our derivative.

m = -6x^2 + 10x

m = -6(1)^2 + 10(1)

m = -6 + 10x

m = 4

Now that we have our slope, use point slope form to find our tangent line

y - 12 = 4(x - 1)

y(x) = 4x + 8


<u>Now lets do the same for the Point (2, 13)</u>

Find the slope at the point.

m = -6x^2 + 10x

m = -6(2)^2 + 10(2)

m = -24 + 10

m = -4

Now find the tangent line using point slope form of a line.

y(x) - 13 = -4(x - 2)

y(x) = -4x + 21


Now graph the lines, which I have done and you can see by viewing the image I have attached.


6 0
4 years ago
What is x^2 + x^2 + x^2 equal to? please give clear explanation. Thanks!
Anna35 [415]
x^{2} + x^{2} + x^{2} =3 x^{2}
6 0
3 years ago
Read 2 more answers
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