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2 years ago

- f(x) = 4(x + 3)2 +1Find f(-9).

Mathematics

2 answers:

Xelga [282]2 years ago

7 0

my answer is -24

what other i don't know

hope it will help you

Romashka-Z-Leto [24]2 years ago

6 0

Answer:

this function does not look right . . .as the parenthesis are being multiplied twice . . .but as it is written it would be 623

Step-by-step explanation:

-f(x) = 4(9x+3)2 +1 find f(-9)

multiple (9x + 3) by 8 (which is the 4 and the 2 multiplied together)

8(9x + 3) + 1

72x + 24 +1 (distributing the 8)

72x +25 (adding like terms)

substitute -9 in for x

72(-9) +25 72(-9) = -648 +25

combine like terms -f(-9) = -623

but since it is a negative function you would divide both sides

solution: f (-9) = 623

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6. Calculate the area of the octagon in the figure below.

Kryger [21]

Answer:

$41\text{ [units squared]}$

Step-by-step explanation:

The octagon is irregular, meaning not all sides have equal length. However, we can break it up into other shapes to find the area.

The octagon shown in the figure is a composite figure as it's composed of other shapes. In the octagon, let's break it up into:

4 triangles (corners)
3 rectangles (one in the middle, two on top after you remove triangles)

Formulas:

Area of rectangle with length $l$ and width $w$ : $A=lw$
Area of triangle with base $b$ and height $h$ : $A=\frac{1}{2}bh$

Area of triangles:

All four triangles we broke the octagon into are congruent. Each has a base of 2 and a height of 2.

Thus, the total area of one is $A=\frac{1}{2}\cdot 2\cdot 2=2\text{ square units}$

The area of all four is then $2\cdot 4=8$ units squared.

Area of rectangles:

The two smaller rectangles are also congruent. Each has a length of 3 and a width of 2. Therefore, each of them have an area of $3\cdot 2=6$ units squared, and the both of them have a total area of $6\cdot 2=12$ units squared.

The last rectangle has a width of 7 and a height of 3 for a total area of $7\cdot 3=21$ units squared.

Therefore, the area of the entire octagon is $8+12+21=\boxed{41\text{ [units squared]}}$

4 0

2 years ago

Can anyone do this for me? ty <3

Marta_Voda [28]

Can’t read it but you would subtract The biggest number by the smallest number

6 0

2 years ago

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8_murik_8 [283]

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(x² + 2x + 1)(-8x² + 11x - 12)
(-8x^4 + 11x³ - 12x² - 16x³ + 11x² - 12x - 8x² + 11x - 12)
(8x^4 + 11x³ - 16x³ - 12x² + 11x² - 8x² - 12x - 11x - 12)
8x^4 - 5x³ + 15x² - 23x - 12

6 0

2 years ago

How do you do this?I don’t understand it. I appreciate if you write the equation I need to use for the problem.

LiRa [457]

Answer: what now sorry don’t know

Step-by-step explanation:

3 0

2 years ago

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Find the equivalent fraction to next expression 3b^2 + 2(a+5.4b) -2.4b + 1.5a - 2b^2 a 2b2 + 3.5a + 8.4 b b b2 +3.5a + 8.4b c 2b

Neporo4naja [7]

Answer:

b²+3.5a+8.4b

Step-by-step explanation:

Given the expression

3b^2 + 2(a+5.4b) -2.4b + 1.5a - 2b^2

Expand

3b^2 + 2a+10.8b -2.4b + 1.5a - 2b^2

Collect the like terms

= 3b²-2b²+2a+1.5a+10.8b-2.4b

= b²+3.5a+8.4b

Hence the equivalent expression is b²+3.5a+8.4b

7 0

2 years ago

- f(x) = 4(x + 3)2 +1Find f(-9).​

- f(x) = 4(x + 3)2 +1Find f(-9).