All categories

3 years ago

The cost C, in dollars, to tow a car is modeled by the function C(x) = 2.5 x + 85, Where x is the number of miles towed.

Mathematics

1 answer:

aleksandrvk [35]3 years ago

4 0

Answer:

a. $185

b. 64 miles

c. 26 miles

d. x > 0

Step-by-step explanation:

a. Find C(x) when x = 40.

C(x) = 2.5 x + 85

C(40) = 2.5 (40) + 85

C(40) = 185

b. Find x when C(x) = 245.

C(x) = 2.5 x + 85

245 = 2.5 x + 85

160 = 2.5 x

x = 64

c. Find x when C(x) = 150.

C(x) = 2.5 x + 85

150 = 2.5 x + 85

65 = 2.5 x

x = 26

d. The domain of C is all the possible values of x. Since x is a distance, it doesn't make sense for it to be negative, so x > 0.

You might be interested in

Please help asap thanks so much!

sesenic [268]

Answer:

see the attachment photo!

7 0

2 years ago

The perimeter of the triangle shown is 412 meters. Find the length of each side.

Fudgin [204]

Answer:

x meters= 35

5x meters= 175

6x - 8 = 202

Step-by-step explanation:

x + 5x + (6x - 8)= 412

12x - 8= 412

12x = 412 + 8

12x = 420

x= 35

5x = 35× 5

= 175

6x - 8= 6(35) - 8

= 210 - 8

= 202

7 0

2 years ago

What is the end behavior of the function f(x) = 3x4−x3 + 2x2 + 4x + 5? (1 point)

ELEN [110]

Answer: both the left and right sides go to +∞

Step-by-step explanation:

End behavior can be determined by two things:

Sign of the leading coefficient
Degree of the function

Sign of leading coefficient:

positive: right side goes to +∞

negative: right side goes to -∞

⇒ Leading coefficient of this function is 3 so the right side goes to +∞

Degree (exponent of leading coefficient):

even: both the left and right sides point in the SAME direction

odd: the left and right sides point in OPPOSITE directions

⇒ Degree of this function is 4 so the left side will point in the same direction as the right side.

8 0

3 years ago

I'm going to have a test later and i need help (p.s it show random ads just letting you know)

Sophie [7]

Answer:C

Step-by-step explanation:

8 0

3 years ago

Suppose that 15% of the fields in a given agricultural area are infested with the sweet potato whitefly. One hundred fields in t

hram777 [196]

Answer:

a. $\mu=15$

b. $\mu=7.8586 \ and \ \mu=22.1414$

c. Choice A- Based on limits above, it is unlikely that we would see x = 45, so it might be possible that the trials are not independent.

Step-by-step explanation:

a.Binomial distribution is defined by the expression

$P(X=k)=C_k^n.p^k.(1-p)^{n-k}$

Let n be the number of trials, $n=100$

and p be the probability of success, $p=15\%$

The mean of a binomial distribution is the probability x sample size.

$\mu=np=100\times0.15=15$

b.Limits within which p is approximately 95%

sd of a binomial distribution is given as: $\sigma=\sqrt npq\\q=1-p$

Therefore, $\sigma=\sqrt(100\times0.015\times0.85)=3.5707$

Use the empirical rule to find the limits. From the rule, approximately 95% of the observations are within to standard deviations from mean.

$sd_1=>\mu-2\sigma=15-2\times3.3507=7.8586\\sd_2=>\mu-2\sigma=15+2\times3.3507=22.1414$

Hence, approximately 95% of the observations are within 7.8586 and 22.1414 (areas of infestation).

c. $x=45$ is not within the limits in b above (7.8586,22.1414). X=45 appears to be a large area of infestation. A.Based on limits above, it is unlikely that we would see x = 45, so it might be possible that the trials are not independent.

4 0

3 years ago