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3 years ago

11

If f(x) = 1/3x^2 + 5, find f(-9). A. 248 B. -22 C. 11 D. 32

2 answers:

melamori03 [73]3 years ago

7 0

Answer:

D. 32

Step-by-step explanation:

For this problem, we simply plug -9 in for x in f(x):

$f(x)=\frac{1}{3} x^2+5$ ⇒ $f(9)=\frac{1}{3} *(9^2)+5=\frac{1}{3} *81+5=27+5=32$

Thus, the answer is D. 32.

Hope this helps!

anygoal [31]3 years ago

3 0

Answer:

D. 32

Step-by-step explanation:

f(-9) = ⅓(-9)² + 5

⅓(81) + 5

27 + 5

32

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seraphim [82]

The length of OM is 4/3 the length of OJ, and the length of ON is 4/3 the length of OK. Thus, two pairs of sides from the triangles are proportional to each other.

Also, angle O from one of the triangles is equal to angle O of the other triangle because they are the same angle.

Thus, the two triangles are similar by SAS (side-angle-side) similarity theorem. This theorem is quite similar to the SAS congruence theorem.

To make a similarity statement, we just have to match corresponding parts when naming the triangle.

Similarity statement: ΔOJK~ΔOMN

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2 years ago

. 4/18 times 2/92. 1/9 times 3/63. 12/14 times 1/84.1/7 times 5/65. 17/20 times 1/61. 4 1/4 times 3 1/22. 3 5/6 times 4 1/23. 2

AlladinOne [14]

Answer:

Step-by-step explanation:

4/18×2/92

=1/9×1/23

=1/207

1/9×3/63

=1/3×1/23

=1/69

12/14×1/84

=1/14×1/7

=1/98

1/7×5/65

=1/7×1/13

=1/91

17/20×1/61

=17/1220

4 1/4 ×3 1/22

=17/4×67/22

=1,139/88

=12 83/88

3 5/6×4 1/23

=23/6×93/23

=93/6

=15 3/6

=15 1/2

2 1/2×4 7/84

=5/2×343/84

=1715/168

=10 35/168

I have answered more than 2 from each set

6 0

3 years ago

11. Evaluate: f(x) = x^2 - 2x + 1,

svetlana [45]

Answer:

0

Step-by-step explanation:

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2 years ago

If x is divided by 5 the remainder is 4. If why is divided by 5 the remainder is 1. What is the remainder when x+y is divided by

Naddik [55]

Answer:

0

Step-by-step explanation:

We are given the following:

$\frac{x}{5}=q_1+\frac{4}{5}$ (equ. 1)

$\frac{y}{5}=q_2+\frac{1}{5}$ (equ. 2)

We are asked:

$\frac{x+y}{5}=q_3+\frac{r}{5}$ (equ. 3) , what is $r$ ?

The $q_i$ 's represent the quotients you get.

$r$ is the remainder of dividing $x+y$ by 5.

We know that $r$ is a number in {0,1,2,3,4}.

$x=5q_1+4$ (I got this by multiplying both sides of equ 1. by 5.)

$y=5q_2+1$ (I got this by multiplying both sides of equ 2. by 5.)

Let's add these equations together:

$x+y=(5q_1+5q_2)+(4+1)$

Factoring the 5 out for the $q_i$ 's part and simplify 4+1 gives:

$x+y=5(q_1+q_2)+5$

So $5$ can't be the remainder of dividing something by 5 but see that we can factor this right hand expression more as:

$x+y=5(q_1+q_2+1)$

So $q_3=q_1+q_2+1$ while there is no remainder (the remainder is 0).

Let's do an example if you are not convinced at this point that the remainder will be 0.

So choose x=9 since 9/5 gives a remainder of 4.

And choose y=16 since 16/5 gives a remainder of 1.

x+y=9+16=25 and 25/5 gives a remainder of 0.

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2 years ago

15 points and BRAINLIEST John and his sister each bought a car in 2005. John's car cost $3,000 and is decreasing in value $150 p

nignag [31]

Answer:

C

Step-by-step explanation:

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3 years ago