Which is an x-intercept of the continuous function in the table?(0, –6)(3, 0)(–6, 0)(0, 3)

Mathematics

1 answer:

Neporo4naja [7]2 years ago

6 0

Answer:

B. (3,0)

Step-by-step explanation:

The x-intercept is the point where the graph of the function meets the x-axis.

At x-intercept, y = 0 or f(x) = 0

So look through the table and find where f(x) = 0.

From the table, f(x) = 0 at x = 3.

We write this as an ordered pair.

Therefore the x-intercept is (3,0)

The correct choice is B.

You might be interested in

3. A penny is made by combining 0.1 g of a copper alloy that costs $5.50 per kilogram (1000 grams) with

lbvjy [14]

.0001*5.5 + 1.5*x = 2
x=1.33 kg

6 0

3 years ago

Pls help it’s not 2 and not 10

eduard

Answer:

11.18

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

What is the answer to number 1 and why

valentinak56 [21]

I say B, I had to google it to make sure, but there are 3 phases in interphase. Interphase occurs before mitosis. The third phase in interphase is the DNA being copied.

3 0

3 years ago

Paul needs 40 pounds of 48% silver alloy to finish a collection of jewelry. How many pounds each of 45% silver alloy and 60% sil

Salsk061 [2.6K]

Equation:
silver + silver = silver
0.45x + 0.60(40-x) = 0.48*40
----------------
45x + 60*40 - 60x = 48*40

--------
-15x = -12*40
x = (4/5)40
x = 32 lbs (amt of 45% slloy needed)
40-x = 8 lbs (amt of 60% alloy needed)

8 0

2 years ago

Find a power series representation of e^x sin(x)

liberstina [14]

The Taylor series is defined by:
$f(x) = \sum \frac{f^n (a)}{n!} (x-a)^n$

Let a = 0.
Then its just a matter of finding derivatives and determining how many terms is needed for the series.

Derivatives can be found using product rule:
$f^n (x) = e^x g^{n-1} (x) + e^x g^n (x) \\ g^0 (x) = sin x$

Do this successively to n = 6.
$f^1 (x) = e^x (sinx +cos x) \\ f^2 (x) = e^x (2cos x) \\ f^3 (x) = e^x(2cos x - 2sin x) \\ f^4 (x) = e^x (-4 sin x) \\ f^5 (x) = e^x(-4sinx -4cos x) \\ f^6(x) = e^x(-8cos x)$

Plug in x=0 and sub into taylor series:
$e^x sin x = x+x^2 +\frac{x^3}{3} -\frac{x^5}{30}-\frac{x^6}{90}...$

If more terms are needed simply continue the recursive derivative formula and add to taylor series.

6 0

3 years ago