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Alika [10]
4 years ago
5

Use Pascal’s Triangle to determine the second term of the expansion of (x + 2)^4.

Mathematics
1 answer:
denis23 [38]4 years ago
5 0

Answer: 10x³

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

n=0                                  1

n=1                                1  2 1

n=2                             1  3  3  1

n=3                           1  4  6  4  1

n=4                         1  5 10 10 5  1

The second term of the expansion is: 5(a)³(b)

= 5(x)³(2)

= 10x³

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1 Without graphing, determine the characteristics of the graph.
olga nikolaevna [1]

Answer: (3, -1)

Step-by-step explanation:

y = |x-3|-1

When y=|x|, vertex is (0, 0).

Now, let's translate the graph so it becomes y = |x-3|-1.

|x| ==> |x-3|         Translate the graph 3 units to the right

Vertex: (0+3, 0) ==> (3, 0)

|x-3| ==> |x-3|-1     Translate the graph 1 unit down

Vertex: (3, 0-1) ==> (3, -1)

Vertex: (3, -1)

7 0
2 years ago
The line 3x+4y=24 cuts the x axis at point A and y axis at point B<br><br> Find the lenght if AB
sweet [91]
Length A is (8,0) and the length of B is (0,6)
4 0
3 years ago
Evaluate 2x + 1 when x = 7.
Tatiana [17]

Answer:

15

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Suppose you're making a soup that uses 5 cups of chicken broth and 3⁄4 teaspoons of corn starch for 8 servings. You need to make
yanalaym [24]

Answer:

Option A = 7.5 cups

Step-by-step explanation:

Given : Suppose you're making a soup that uses 5 cups of chicken broth and \frac{3}{4} teaspoons of corn starch for 8 servings. You need to make 12 servings of the soup, so you'll need 1\frac{1}{8} teaspoons of corn starch.

To find : How much broth do you need?

Solution :

A soup that uses 5 cups of chicken broth and \frac{3}{4} teaspoons of corn starch for 8 servings.

i.e. 5 cups + \frac{3}{4} teaspoon = 8 servings  ......(1)

You need to make 12 servings of the soup, so you'll need 1\frac{1}{8}=\frac{9}{8}

i.e. x cups +\frac{9}{8} teaspoon = 12 servings  ........(2)

So, First we find the ratio

Ratio is \frac{12}{8}=\frac{3}{2}

So to equal the ratio multiply (1) by \frac{3}{2}

5\times \frac{3}{2}cups + \frac{3}{4}\times \frac{3}{2} teaspoon = 8\times \frac{3}{2} servings

\frac{15}{2}cups + \frac{9}{8} teaspoon = 12 servings

On comparing with (2),

The value of x is \frac{15}{2}.

Therefore, The broth do we need is \frac{15}{2}=7.5 cups.

So, Option A is correct.

5 0
3 years ago
Please help I don’t get this
mina [271]

Answer:

H = 11m

Step-by-step explanation:

As we know, volume = length * breadth/width * height

Given,

length = 6m

Breadth/width = 3 1/2 or 3.5

Height = ?

So, l * b * h = v

=> 6m * 3.5m * h = 231m

=> 21m * h = 231m

=> h = 231m /21m = 11m

Therefore, height = 11m / 11metres

Hope this helps

6 0
3 years ago
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