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Andrej [43]
2 years ago
14

The table shows values for functions f(x) and g(x) .

Mathematics
1 answer:
mart [117]2 years ago
5 0

Answer:

-3 and -4

Step-by-step explanation:

f(x) = g(x) will be the input or x value at which f and g have the same output or y value. Look in the table where two numbers repeat right next to each other.

−6 −4 1

−5 0 2

−4 4 4

−3 8 8

−2 12 16

−1 16 32

0 20 64

The solution to f(x)=g(x) is both x = -4 and x=-3.

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victus00 [196]

Answer: I cant see it

3 0
2 years ago
Almost all medical schools in the United States require students to take the Medical College Admission Test (MCAT). To estimate
Leviafan [203]

Answer:

Probability of having student's score between 505 and 515 is 0.36

Given that z-scores are rounded to two decimals using Standard Normal Distribution Table

Step-by-step explanation:

As we know from normal distribution: z(x) = (x - Mu)/SD

where x = targeted value; Mu = Mean of Normal Distribution; SD = Standard Deviation of Normal Distribution

Therefore using given data: Mu (Mean) = 510, SD = 10.4 we have z(x) by using z(x) = (x - Mu)/SD as under:

In our case, we have x = 505 & 515

Approach 1 using Standard Normal Distribution Table:

z for x=505: z(505) = (505-510)/10.4 gives us z(505) = -0.48

z for x=515: z(515) = (515-510)/10.4 gives us z(515) = 0.48

Afterwards using Normal Distribution Tables and rounding the values to two decimals we find the probabilities as under:

P(505) using z(505) = 0.32

Similarly we have:

P(515) using z(515) = 0.68

Now we may find the probability of student's score between 505 and 515 using:

P(505 < x < 515) = P(515)-P(505) = 0.68 - 0.32 = 0.36

PS: The standard normal distribution table is being attached for reference.

Approach 2 using Excel or Google Sheets:

P(x) = norm.dist(x,Mean,SD,Commutative)

P(505) = norm.dist(505,510,10.4,1)

P(515) = norm.dist(515,510,10.4,1)

Probability of student's score between 505 and 515= P(515) - P(505) = 0.36

Download pdf
6 0
2 years ago
What does the equation 7x^2-3y^2-x+2y+4=0 represent
Romashka [77]

Answer:

Circle

Step-by-step explanation:

because a hyper bole is (y-k) 2b2 -(x-h) 2a2=1

ellipse is = (x-h) 2a2 + (y-k) 2b2 = 1

parabola is y= a (x-h) 2+ k

that's why circle is the answer

8 0
2 years ago
Answer the following <br><br> please give steps of how you got your answer
konstantin123 [22]

Answer: x^4

Step-by-step explanation:

1. Rewrite the expression in fraction form:

(3√x²)^6 = x^(2/3)^6

2 is the exponent, so when written in fraction form, it is the numerator. 3 is the index or root, so in fraction form it is the denominator.

2. Solve:

x^(2/3)^6 = x^(12/3) = x^4

Because the exponent 2/3 is raised to the power of 6, you can use the power rule, which basically just means that whenever an exponent is raised to an exponent, multiply them. So, 2/3 * 6 equals 12/3, and 12/3 equals 4, making your answer x^4.

5 0
3 years ago
Tom will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of and costs an additiona
11111nata11111 [884]

Complete question :

Tom will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $57.98 and costs an additional $0.14 per mile driven. The second plan has an initial fee of $53.98 and costs an additional $0.16 per mile driven. How many miles would Tom need to drive for the two plans to cost the same?

Answer:

200 miles

Step-by-step explanation:

Let miles driven = x

First option :

57.98 + 0.14x

Second option :

53.98 + 0.16x

First option = second option

57.98 + 0.14 = 53.98 + 0.16x

57.98 - 53.98 = 0.16x - 0.14x

4 = 0.02x

x = 200

200 miles

3 0
2 years ago
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