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3 years ago

F (x) when x = 1 for the function f (x) = −x2 − 3.

Mathematics

1 answer:

zepelin [54]3 years ago

4 0

The answer is - x 2-3
put x=1
(-1)2-3
-2 -3
=-5

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the sum of three consecutive integers is three times the second integer. show that this is true for the three consecutive intege

sdas [7]

Step-by-step explanation:

7+8+9=24

second integer is 8 so 8*3=24

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2 years ago

Maths functions question

yarga [219]

Answer:

a) OA = 1 unit

b) OB = 3 units

c) AB = √10 units

Step-by-step explanation:

<u>Given function</u>:

$g(x)=2^x$

Point A is the y-intercept of the exponential curve (so when x = 0).

To find the y-value of Point A, substitute x = 0 into the function:

$\implies g(0)=2^0=1$

Therefore, A (0, 1) so OA = 1 unit.

If BC = 8 units then the y-value of Point C is 8.

The find the x-value of Point C, set the function to 8 and solve for x:

$\begin{aligned}f(x) & = 8 \\\implies 2^x & = 8\\2^x & = 2^3\\\implies x &= 3\end{aligned}$

Therefore, C (3, 8) so Point B is (3, 0). Therefore, OB = 3 units.

From parts (a) and (b):

A = (0, 1)
B = (3, 0)

To find the length of AB, use the distance between two points formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$\textsf{where }(x_1,y_1) \textsf{ and }(x_2,y_2)\:\textsf{are the two points.}$

Therefore:

$\implies \sf AB=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}$

$\implies \sf AB=\sqrt{(3-0)^2+(0-1)^2}$

$\implies \sf AB=\sqrt{(3)^2+(-1)^2}$

$\implies \sf AB=\sqrt{9+1}$

$\implies \sf AB=\sqrt{10}\:\:units$

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Step-by-step explanation:

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Read 2 more answers

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Brums [2.3K]

Answer: This is already in slope-intercept form. 0.2

Step-by-step explanation: Write in slope-intercept form, y=mx+b.

-Karleif ☺

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3 years ago