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4 years ago

G(x) = x3 + 6x2 + 12x + 8 Determine the function’s value when x = −1.

Mathematics

1 answer:

salantis [7]4 years ago

5 0

Answer:

g(-1) = 1

Step-by-step explanation:

Synthetic division is by far the fastest way to evaluate this function at x = -1. Set up synth. div. as follows:

-1 ) 1 6 12 8

-1 -5 -7

----------------------

1 5 7 1

since the remainder is 1, g(-1) = 1

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Given that g(x)=3x-7 <br> Find the value of k<br> <img src="https://tex.z-dn.net/?f=g%5E%7B2%7D%20%284k%2F3%29%3D8" id="TexFormu

frez [133]

Answer:

{ $\frac{7}{4}$ - $\frac{\sqrt{2} }{2}$ , $\frac{7}{4}$ + $\frac{\sqrt{2} }{2}$ }

Step-by-step explanation:

ax² + bx + c = 0

$x_{12}$ = ( - b ± $\sqrt{b^2 -4ac}$ ) ÷ 2a

~~~~~~~~~~~

g(x) = 3x - 7

g²(x) = (3x - 7)²

g²(x) = 9x² - 42x + 49

g²( $\frac{4k}{3}$ ) = 9( $\frac{4k}{3}$ )² - 42( $\frac{4k}{3}$ ) + 49

9( $\frac{4k}{3}$ )² - 42( $\frac{4k}{3}$ ) + 49 = 8

16k² - 56k + 41 = 0

a = 16 , b = - 56 , c = 41

D = b² - 4ac = ( - 56)² - 4(16)(41) = 512 = $2^{9}$

$k_{1}$ = ( 56 + √ $2^{9}$ ) ÷ 32 = $\frac{7}{4}$ + $\frac{\sqrt{2} }{2}$

$k_{2}$ = $\frac{7}{4}$ - $\frac{\sqrt{2} }{2}$

3 0

3 years ago

Compuneti o problema in baza expresiei numerice: 10,5 × 3 + 25,4 ÷ 2

AVprozaik [17]

Joe has 3 containers of apples. Each container holds 10.5 pounds of apples.
Joe also has 1 container of pears; the container holds 25.4 pounds but is only half full. What is the total number of pounds of fruit he has?

6 0

3 years ago

Let the graph of f(x) represent the cost in thousands of dollars to feed the zoo animals daily, where x is the number of animals

pickupchik [31]

Answer:

<u>There are 200 animals, and the cost is $8,000 daily</u>

Step-by-step explanation:

y=f(x) represents the cost in thousands

x is the number of animals measured in hundreds

so the point (2,8) means

x = 2

y = f(2) = 8

so it means for 2*100=200 animals, the cost is 8*1000=8 000

The correct answer is then

There are 200 animals, and the cost is $8,000 daily

hope this helps

5 0

3 years ago

Aarón made a picture frame with the dimensions show in the figure what is the area of the picture

tatuchka [14]

Answer:

Area of the picture is $72\textrm{ }cm^{2}$

Step-by-step explanation:

Given:

Outer rectangle dimensions are 10 cm by 12 cm.

Inner rectangle dimensions are 6 cm by 8 cm.

Area of the picture given as:

$Area=\textrm{Outer rectangle area}-\textrm{Inner rectangle area}$

Outer rectangle area = $10\times 12=120\textrm{ }cm^{2}$

Inner rectangle area = $6\times 8=48\textrm{ }cm^{2}$

Therefore, the area of the picture is given:

$Area=120-48=72\textrm{ }cm^{2}$

4 0

3 years ago

2. The price of 1 kg potatoes increased from

mestny [16]

Answer:

+75%

Step-by-step explanation:

20 * x = 35

x = 35 / 20

x = 1.75

3 0

3 years ago

Read 2 more answers