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Mandarinka [93]
3 years ago
8

30-[11+{18-(48÷8×2)}+7]+15

Mathematics
1 answer:
Inessa05 [86]3 years ago
3 0
30-(11+(18-(48/8×2))+7)+15

= 30-(11+(18-12)+7)+15

= 30-(11+6+7)+15

= 30-24+15

= 21
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Given that f(x) = x2 + 8x + 15 and g(x) = x + 5, find f(x) · g(x) and express
sukhopar [10]

The result of f(x) \times g(x) is x^3 + 13x^2+ 55x+ 75

<h3>Composite functions</h3>

Composite functions are functions that are gotten by combining multiple functions

<h3>The functions</h3>

The functions are given as:

f(x) = x^2 + 8x + 15

g(x) = x+5

To calculate f(x) * g(x), we have:

f(x) \times g(x) = [x^2 + 8x + 15] \times [x + 5]

Expand the above expression

f(x) \times g(x) = x^3 + 8x^2 + 15x + 5x^2 + 40x + 75

Collect like terms

f(x) \times g(x) = x^3 + 8x^2 + 5x^2+ 15x  + 40x + 75

Evaluate the like terms

f(x) \times g(x) = x^3 + 13x^2+ 55x+ 75

Hence, the result of f(x) \times g(x) is x^3 + 13x^2+ 55x+ 75

Read more about composite functions at:

brainly.com/question/10687170

4 0
2 years ago
15. Find the length of segment DE of the triangle ABC.
ruslelena [56]

Answer:

Option C. 26\ units

Step-by-step explanation:

we know that

Triangles ADE and ABC are similar by AA similarity postulate

AB=2AD

Apply proportion

\frac{AD}{AB}=\frac{8x-6}{12x+4}\\ \\\frac{AD}{2AD}=\frac{8x-6}{12x+4}\\ \\\frac{1}{2}=\frac{8x-6}{12x+4}\\ \\12x+4=16x-12\\ \\16x-12x=4+12\\ \\4x=16\\ \\x=4\ units

Find the length of segment DE

DE=8x-6=8(4)-6=26\ units

4 0
3 years ago
Please help me i do not understand explain how you answer the following questions.
dlinn [17]

For 6, you could divide 56 kilometers by 8 kilometers to get 7 kilometers. Multiply 7 by 5 to get 35. There would be 35 miles in 56 kilometers

7 0
3 years ago
I need some help????
ki77a [65]
This will come out to 35.1

Hope this helps ya!

7 0
3 years ago
4. In the evenings, Jake and his friends would cook out and make smores for dessert. The ratio
lorasvet [3.4K]

Answer:

A. y = 3/2x

B. you need 3 chocolate squares and 2 graham crackers to make 1 smore

C. 0, 0 chocolate squares and 0 graham crackers make 0 smores

Step-by-step explanation:

A. rise/run = 3/2

B. slope = 3/2

3 0
3 years ago
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