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stiks02 [169]
2 years ago
9

I need the answer to this​

Mathematics
1 answer:
abruzzese [7]2 years ago
8 0

Answer:

63.2

Step-by-step explanation:

Corresponding sides of similar triangles are proportional, so

  • ST/16 = 31.6/8
  • ST = 63.2
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Which of the following polynomial functions is graphed below? OA. f(x) = (x - 2) ^ 2 * (x + 3) * (x - 1) O B. f(x) = (x + 2) ^ 2
laila [671]

The function of the polynomial is (b) f(x) = (x + 2) ^ 2 * (x - 3) * (x + 1)

From the graph, we have the following highlights

  • The graph crosses the x-axis at x = -1 and x = 3
  • The graph touches the x-axis at x = -2

The above highlights mean that:

  • The function has a multiplicity of 1 at x = -1 and x = 3
  • The function has a multiplicity of 2 at x = -2

So, the function of the polynomial is:

f(x) =a(x + 2)^2(x + 1)(x - 3)

Assume a = 1.

So, we have:

f(x) =1(x + 2)^2(x + 1)(x - 3)

Multiply

f(x) =(x + 2)^2(x + 1)(x - 3)

Hence, the function of the polynomial is (b) f(x) = (x + 2) ^ 2 * (x - 3) * (x + 1)

Read more about polynomial graphs at:

brainly.com/question/8878887

8 0
2 years ago
E) Natasha's parents want to support Natasha by saving $5000 for her college. They searched up for some investment options and c
Bas_tet [7]

Answer:

Amount she would have in 2 years at a simple interest of is

$5000 + ($5000 x 0.048 x 2) = $5480

Amount she would have in 2 years at a 4.1 % / year compounded semi- annually is :

$5000 x ( 1 +0.041/2)^4 = $5422.78

the first option yields a higher value in two years when compared with the second option. Thus, the first option is the best one to choose

Step-by-step explanation:

Future value with simple interest = principal + interest

Interest = principal x interest rate x time

0.048 x 5000 x 2 = 480

future value = $480 + 5000 = $5480

The formula for calculating future value with compounding:

FV = P (1 + r)^nm

FV = Future value  

P = Present value  

R = interest rate  

m = number of compounding

N = number of years

5000 x ( 1 + 0.041 / 2)^(2 x 2) = $5422.78

8 0
2 years ago
A process produces batches of a chemical whose impurity concentrations follow a normal distribution with a variance of175. A ran
Tom [10]

Answer:

the probability that the sample variance exceeds 3.10 is 0.02020 ( 2,02%)

Step-by-step explanation:

since the variance  S² of the batch follows a normal distribution , then for a sample n of  20 distributions , then the random variable Z:

Z= S²*(n-1)/σ²

follows a χ² ( chi-squared) distribution with (n-1) degrees of freedom

since

S² > 3.10 , σ²= 1.75 , n= 20

thus

Z > 33.65

then from χ² distribution tables:

P(Z > 33.65) = 0.02020

therefore the probability that the sample variance exceeds 3.10 is 0.02020 ( 2,02%)

8 0
3 years ago
Read 2 more answers
In the table, the relation (x, y) is not a function if the missing value of x is ___
ryzh [129]

Answer:

6 is a answer

Step-by-step explanation:

if it is x 3+3 is equal to 6

if it is 10+10 is equal to 20

4 0
2 years ago
Solve x2 – 4х + 1 = 0.<br> x 2 + 215<br> оооо<br> х = 4 + 3<br> 0 х 2 + 3<br> x = -2 + 3
Assoli18 [71]

Answer:

Use photo math, it will explain all the steps

6 0
2 years ago
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