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3 years ago

For each table of values, select weather the table represents a linear or exponential relationship

Mathematics

1 answer:

jolli1 [7]3 years ago

8 0

Linear would be if the change between the x and y's are similar:

Function A:

9.252 - 6.083 = 3.169

14.07 - 9.252 = 4.818

21.4 - 14.07 = 7.33

The differences are different so it is exponential.

Function B

14-7 = 7

21 - 14 = 7

28 - 21 = 7

The differences are the same so this is linear.

Function C

4-16 = -12

1-4 = -3

0.25 - 1 = -0.75

The differences are different so this is exponential.

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A box is filled with 3 yellow cards, 2 blue cards, and 7 brown cards. A card is chosen at random from the box. What is the proba

Otrada [13]

We need to find the probability of the card chosen at random is yellow or brown.

So, since there are 3 yellow cards and 7 brown cards, the total numbers of cards that are yellow or brown is:

$3+7=10$

Now, the probability that the chosen card is yellow or brown can be found by dividing the above value by the total number of cards in the box.

The total number of cards in the box is:

$3+7+2=12$

Thus, that probability is given by:

$\frac{10}{12}=\frac{10\div2}{12\div2}=\frac{5}{6}$

Therefore, the answer is:

$\frac{5}{6}$

3 0

1 year ago

Question Progress Homework Progres 23/2 Solve the quadratic equation 3x + x-5 = 0 Give your answers to 2 decimal places.

kykrilka [37]

The value of x is 1.14 or x = -1.47

We find the value of x in the quadratic equation 3x^2 +x-5=0

Using the formula: (-b ± √ (b²- 4 a c)) / (2a)

Where the value of a = 3, b = 1 and c = -5

Substituting the above values (a = 3, b = 1 and c = -5)

in the formula:

(-1 ± √ (1²- 4 3 (-5))) / (2*3)

= (-1 ± √ (1+60)) / (6)

= (-1 ± √ (61)) / (6)

= (-1 ± 7.81) / (6)

= (-1 + 7.81) / (6) or (-1 -7.81) / (6)

= (6.81) / (6) or (-8.81) / (6)

=1.135 or -1.468

Hence the value of x= 1.14 or -1.47

LEARN MORE ABOUT QUADRATIC EQUATIONS HERE: brainly.com/question/1214333

#SPJ9

3 0

1 year ago

F(x) = x2 – 2x - 8

maw [93]

Answer:

The y-intercept is the point (0,-8)

see the attached figure

Step-by-step explanation:

we have

$f(x)=x^{2}-2x-8$

we know that

The y-intercept is the value of the function f(x) when the value of x is equal to zero

For x=0

$f(x)=0^{2}-2(0)-8\\f(x)=-8$

therefore

The y-intercept is the point (0,-8)

see the attached figure to better understand the problem

5 0

3 years ago

A taxi cab costs $1.50 the 1st mile and $0.75 for each additional mile. Which equation could be solved to find how many miles yo

Airida [17]

B, the $1.50 is a fixed number, but the additional $0.75 varies on how many miles travelled (x).

5 0

3 years ago

Hodel just got her driver's license. Her parents offer her two options. 1. They'll buy her a used car that will cost her $0.50 p

Romashka-Z-Leto [24]

Answer:

The second option will cost her less than the first one.

Step-by-step explanation:

In order to solve this problem we will create two functions to represent the cost of the car in function of the miles drove by her.

For the first option we have:

$cost_1(x) = 0.5*x$

For the second option we have:

$cost_2(x) = 5000 + 0.1*x$

Since she intends to drive it for 10,000 miles per year for 6 years, then the total mileage she intends to drive her car is 60,000 miles. Applying this to the formula of each car and we have:

$cost_1(60000) = 0.5*60000 = 30000$

$cost_2(60000) = 5000 + 60000*0.1 = 11000$

The second option will cost her less than the first one.

7 0

3 years ago