All categories

3 years ago

Given f(x)=3x2−5x−2 . What is the value of f(−23) ?

1 answer:

3 0

$f(x) = {3x}^{2} - 5x - 2 \\ f( - 23) = ... \\ f( - 23) \: means \: x = - 23 \\ so \: f( - 23) = {3( - 23)}^{2} - 5( - 23) - 2 \\ = 3(529) + 115 - 2 \\ = 1700$

You might be interested in

Takumi started studying how the number of branches on his tree changes over time.

Musya8 [376]

Answer:

Grows, Factor of 2

Step-by-step explanation:

The relationship between the elapsed time, t, in years, since Takumi started studying his tree, and the total number of its branches, N(t), is modeled by the function:

$N(t) = 63. 2^t$

For illustration, let us take the growth for the first three years after he started studying the number of branches.

$When \:t=1, N(1) = 63. 2^1=126\\When \:t=2, N(2) = 63. 2^2=252\\When \:t=3, N(3) = 63. 2^3=504\\504\div 252=252\div 126=2$

We notice that for each subsequent year, the number of branches doubles.

Therefore:

Every year, the number of branches <u>grows</u> by a factor of <u>2.</u>

8 0

4 years ago

Quadrilateral ABCD is a parallelogram. What is the length of AD?

matrenka [14]

Answer:

-5

Step-by-step explanation:

ab = dc

x+15= 3x+25

2x = -10

x = -5

substituting in ad and bc

-10+18 = 8

3-(-5)=3+5=8

6 0

3 years ago

the cozy cat shop has 3 calico cats for every gray cat. If they have nine calico cats available, how vany gray cats do they have

Cerrena [4.2K]

Set up as for portion with X as unknown number of gray cats. So 1/3=x/9. Cross multiply. 3X=9. Divide both sides by 3. X=3.

3 0

3 years ago

A garden has an area of 240 ft. Its length is 8 ft more than its width. What are the dimensions of the

solong [7]

Answer:

w=12

l=20

Step-by-step explanation:

The area can be found using the following equation:

$A=lw$

Given the information provided, we are also told the following:

$l=w+8$

Therefore, we can plug in our length and our area:

$240=w(w+8)\\240=w^2+8w\\\\w^2+8w-240=0$

We can solve by using the quadratic formula.

$w=\frac{-8+\sqrt{8^2-4(1)(-240)} }{2(1)}=12 \\\\$

w=12, so w+8=20.

7 0

3 years ago

Read 2 more answers

Expression is equivalent to 8(12+30)

Fittoniya [83]

Answer:

336

Step-by-step explanation:

8 (12 + 30)

Follow PEMDAS order of operations.

Calculate within parentheses. (12 + 30)

12 + 30

12 + 30 = 42

= 42

=8 * 42

Multiply and divide left to right

8 *42

8 * 42 = 336

= 336

7 0

3 years ago