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Natalka [10]
3 years ago
15

F(x) = x2 + 1 g(x) = 5 – x (f + g)(x) =

Mathematics
1 answer:
nordsb [41]3 years ago
5 0

Answer:

x^3 - x^2 - 6x

Step-by-step explanation:

First, add f +g

x^2 + 1 + 5 -x (combine like terms)

x^2 - x +6  

Next, multiply the new equation by x

x(x^2 - x + 6)    Use distributive property

= x^3 - x^2 + 6x

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Natali5045456 [20]

Answer:

16 quarts of milk in each glass

Step-by-step explanation:

8 divided by 1/2 is 16

5 0
3 years ago
How do I solve 6 x 107 using a property
Anastasy [175]
Use distributivity to split the multiplication
6*107
=6(100+7)
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4 0
3 years ago
Does the following infinite series converge or diverge? And does it or does it not have a sum 1/3-2/9+4/2718/81+...
Kaylis [27]

Answer:

Diverges

Step-by-step explanation:

See Image.

8 0
3 years ago
Which sequences of transformations confirm the congruence of shape II and shape I?
mylen [45]

Answer:

1. When we reflect the shape I along X axis it will take the shape I in first quadrant, and then if we rotate the shape I by 90° clockwise, it will take the shape again in second quadrant . So we are not getting shape II. This Option is Incorrect.

2. Second Option is correct , because by reflecting the shape I across  X axis and then by 90° counterclockwise rotation will take the Shape I in second quadrant ,where we are getting shape II.

3. a reflection of shape I across the y-axis followed by a 90° counterclockwise rotation about the origin takes the shape I in fourth Quadrant. →→ Incorrect option.

4. This option is correct, because after reflecting the shape through Y axis ,and then rotating the shape through an angle of 90° in clockwise direction takes it in second quadrant.

5. A reflection of shape I across the x-axis followed by a 180° rotation about the origin takes the shape I in third quadrant.→→Incorrect option

6 0
3 years ago
Read 2 more answers
For a normal distribution with μ=500 and σ=100, what is the minimum score necessary to be in the top 60% of the distribution?
STatiana [176]

Answer:

475.

Step-by-step explanation:

We have been given that for a normal distribution with μ=500 and σ=100. We are asked to find the minimum score that is necessary to be in the top 60% of the distribution.

We will use z-score formula and normal distribution table to solve our given problem.

z=\frac{x-\mu}{\sigma}

Top 60% means greater than 40%.

Let us find z-score corresponding to normal score to 40% or 0.40.

Using normal distribution table, we got a z-score of -0.25.

Upon substituting our given values in z-score formula, we will get:

-0.25=\frac{x-500}{100}

-0.25*100=\frac{x-500}{100}*100

-25=x-500

-25+500=x-500+500

x=475

Therefore, the minimum score necessary to be in the top 60% of the distribution is 475.

3 0
3 years ago
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