All categories

3 years ago

Please help me understand this equation

Mathematics

1 answer:

dangina [55]3 years ago

5 0

Answer:

D. F(x) = (x +3)³ -2

Step-by-step explanation:

As with most multiple-choice math problems, you can try the different answers to see which is consistent with the information given in the problem. Here, that would mean you evaluate f(-3) to see if you get the value -2.

A. (-3+2)³ -3 = -4 ≠ -2

B. (-3 -3)³ -2 = -218 ≠ -2

C. (-3 -2)³ -3 = -128 ≠ -2

D. (-3 +3)³ -2 = -2 . . . . . . the correct choice

You are probably expected to understand that F(x) has been translated left 3 units and down 2 units from G(x). (The marked inflection point gives you the clue you need.) The transformation that translation does this is:

F(x) = G(x -h) +k . . . . . G(x) translated by (h, k) units (right, up)

Translation left 3 and down 2 gives you (h, k) = (-3, -2), so ...

F(x) = G(x -(-3)) -2 = G(x +3) -2

F(x) = (x +3)³ -2

You might be interested in

Triangle RST has vertices R(2, 0), S(4, 0), and T(1, –3). The image of triangle RST after a rotation has vertices

Ira Lisetskai [31]

Answer:

The correct option is C.

Step-by-step explanation:

It is given that the triangle RST has vertices R(2, 0), S(4, 0), and T(1, –3) and the image has vertices R'(0, –2), S'(0, –4), and T'(–3, –1). .

From the given vertices it is clear that the relation between preimage and image is defined as

$(x,y)\rightarrow (y,-x)$

This is the rule of rotation, when the figure rotates 90 degree clockwise adn 270 degree counter clock wise.

R0, 270° represents 270 degree rotation counter clock wise about the origin.

Therefore correct option is C.

5 0

3 years ago

Read 2 more answers

Find the exact value of cos (u-v) given that sin u=-9/41 and cos v=15/17. (Both u and v are in quadrant IV)

siniylev [52]

Please review the sum and difference formulas for the trig functions.

In this case you have the difference between two angles u and v and want to find the cosine of this difference.

Here's the appropriate formula:

cos (a-b) = cos a cos b + sin a sin b

Given that sin u = -9/41, equal to the opp side over the hyp., we must find the length of the adj. side and then u itself.

opp side = - 9
hyp = 4
adj side = sqrt( 18+4) = sqrt(22)

Find the side opp angle v in a similar manner.

Then cos (u-v) = cos u cos v + sin u sin v becomes

= (cos u)(15/17) + (-9/41)(sin v) (where you must find cos u and sin v)

See what you can do, then return and comment here if you need further help. Good luck.

8 0

4 years ago

1) You are eating 3/4 cup of ice cream, 1/8 cup of chocolate syrup, and one sixteenths cup of cherries. How many (total) cups is

lara [203]

Answer:

3/4=ice cream

1/8=chocolate syrup

1/16=cherries

Total=3/4+1/8+1/16

$\frac{3X4}{4X4} +\frac{1X2}{8X2} + \frac{1X1}{16X1} \\\frac{12+2+1}{16} = \frac{15}{6}$

Total cups =15/6=2.5 cups.

Hoped this helped!

5 0

3 years ago

Given ABCD is a parallelogram ABE equals 180° CBE is congruent to CEB prove DAE is congruent to CEA

katrin2010 [14]

Answer:

The proved is given below.

Step-by-step explanation:

Given ABCD is a parallelogram and also ∠ABE equals 180°, ∠CBE ≅ ∠CEB

We have to prove that ∠DAE ≅ ∠CEA

As ∠CEA=∠CBE → (1)

and given ABCD is a parallelogram implies AD||CB

∴ ∠DAE=∠CBE → (2) as these are corresponding angles.

From equation (1) and (2), we get

∠DAE=∠CEA

Hence, ∠DAE is congruent to ∠CEA

Hence Proved

6 0

3 years ago

If an original conditional statement is represented by p → q, which represents the contrapositive?

Maksim231197 [3]

<span>A conditional statement has two parts, the hypothesis and the conclusion. In p and q notation, the hypothesis is always the p and the q is the conclusion. In a contrapositive statement, the statement would go, “if not q, then not p”. Therefore, the answer to this item is the second choice. </span>

5 0

4 years ago

Read 2 more answers