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3 years ago

The graph below represents the function of f(x), and the table below represents the function g(x). which statement is true?

Mathematics

2 answers:

Igoryamba3 years ago

7 0

Answer: OPTION D.

Step-by-step explanation:

You can observe in the graph that represents f(x) that this function intersects the x-axis at the point (1,0). Then:

$x=1\\y=0$

We know that a function intersects the x-axis when $y=0$ .

We can observe the table that represents the function g(x). When the value of "y" is 0 ( $g(x)=y=0$ ), the value of "x" is -1 ( $x=-1$ ). Therefore, the x-intercept of f(x) is greater that the x-intercept of g(x).

You can observe in the graph that represents f(x) that this function intersects the y-axis at the point (0,-1). Then:

$x=0\\y=-1$

We know that a function intersects the y-axis when $x=0$ . In the table that represents the function g(x), we can see that, when the value of "x" is 0 ( $x=0$ ), the value of "y" is 1 ( $g(x)=y=1$ ). Therefore, the y-intercept of g(x) is greater that the y-intercept of f(x).

mario62 [17]3 years ago

5 0

I think the answer might be D.
I’m sorry if this is wrong.

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Please help on number 9 and 10. Will mark brainliest.

Alenkasestr [34]

Answer:

9. 1.24 mL

10. $5.93

Step-by-step explanation:

Question 9:

If the dosage of medicine is 0.01 mL per pound of weight of the patient, and the patient's weight is 124 pounds, we can set up an equation to solve for how much medicine the patient would need to take:

Dosage of medicine per pound of body weight x Total body weight = Total medicine required

0.01 * w = m,

where w is total body weight and m is total medicine required.

To solve for the dosage the patient needs, just plug the numbers into the right places (124 for w and leave m as it is):

0.01 * 124 = m

1.24 = m

Therefore, a patient with a body weight of 124 pounds would need a 1.24 mL dosage.

Question 10:

To make the multiplication easier, we could rewrite 15% as 0.15 ( because 15% = 15/100):

0.15 * Total bill = Total tax payed for bill (Also can be written as $\frac{15}{100} * 39.51$ )

0.15*39.51 = Total tax

5.9265 = Total tax

5.93 = Total tax <-------- (rounded)

3 0

3 years ago

The game of European roulette slots: 18 red, 18 black, and I green. A ball is spun onto the wheel and will eventually land ina s

Anestetic [448]

Answer:

(a) E(x) = -0.081 S.D = 3

(b) E(x) = -0.081 S.D = 1.73

Step-by-step explanation:

(a) You bet $3 on a single round which means that if you win the game, your amount will double ($6), your profit will be $3. Whereas, if you lose the round, your profit will be -$3. You can only bet on red or black and both have 18 slots each.

So, the probability of landing the ball in a red/black slot = 18/37. This is the probability of winning. The probability of losing can be calculated as 1-18/37 = 19/37.

We can make a probability distribution table:

x 3 -3

P(X=x) 18/37 19/37

Expected value E(x) can be calculated as:

E(x) = ∑ x.P(x)

= (3)(18/37) + (-3)(19/37)

E(x) = -0.081

Standard deviation can be calculated by the following formula:

Var(x) = E(x²) - E(x)²

S.D = √Var(x)

We need to first calculate E(x²).

E(x²) = ∑x².P(x)

= (3)²(18/37) + (-3)²(19/37)

= (9)(18/37) + (9)(19/37)

E(x²) = 9

Var(x) = E(x²) - E(x)²

= 9 - (-0.081)²

Var(x) = 8.993

S.D = √8.993

S.D = 2.99 ≅ 3

(b) Now, the betting price is $1 and 3 rounds are played. We will compute the expectation for one round and then add it thrice to find the expectation for three rounds. Similarly, for the standard deviations, we will add the individual variances and then consider the square root of it.

E(x) = ∑ x.P(x)

= (1)(18/37) + (-1)(19/37)

E(x) = -0.027

Standard deviation can be calculated by the following formula:

Var(x) = E(x²) - E(x)²

S.D = √Var(x)

We need to first calculate E(x²).

E(x²) = ∑x².P(x)

= (1)²(18/37) + (-1)²(19/37)

= (1)(18/37) + (1)(19/37)

E(x²) = 1

Var(x) = E(x²) - E(x)²

= 1 - (-0.027)²

Var(x) = 0.9992

The expectation for one round is -0.027

For three rounds,

E(x₁ + x₂ + x₃) = E(x₁) + E(x₂) + E(x₃)

= (-0.027) + (-0.027) + (-0.027)

E(x₁ + x₂ + x₃) = -0.081

Similarly, the variance for one round is 0.9992.

Var (x₁ + x₂ + x₃) = Var(x₁) + Var(x₂) + Var(x₃)

= 0.9992 + 0.9992 + 0.9992

Var (x₁ + x₂ + x₃) = 2.9976

S.D = √2.9976

S.D = 1.73

(c) The expected values for both part (a) and (b) are the same but the standard deviation is lower in part (c) as compared to (b). Since the standard deviation is less in part (c), it means that it is less risky to bet $1 in three different rounds as compared to betting $3 in a single round.

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3 years ago

Question 5 of 10

Darina [25.2K]

Answer:

x= 38

Step-by-step explanation:

add 34 to each side of the equation.

which will give you x= 38

done!

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3 years ago

941 divided by 2 using long division

liraira [26]

941/2
2 can go into 9 ,4 times remainder is one bring down the 4 that would be 14, 2 can go into 14 ,7 times bring the 1 down 2 can go into 1 ,0.5 times answer is 47.5

7 0

3 years ago

Read 2 more answers

PLEASE HURRY AND ANSWER CORRECT ANSWER GETS 99 POINTS AND MARKED AS BRAINLIEST

Alexandra [31]

Answer:

The rate of change is 2

What is the Rate of Change?

A rate of change defines how one quantity changes in relation to another quantity. The rate of change can be either positive or negative. Since the slope of a line is the ratio of vertical and horizontal change between two points on the plane or a line, then the slope equals the ratio of the rise and the run.

Where, rise is the vertical change between two points and run is the horizontal change between two points.

Standard Formula

The standard form for the rate of change of slope, m is given by

Rate of change = Rise/ Run

= Δy / Δx

Therefore, the rate of change of slope =(y2 – y1) / (x2 – x1)

Where

Δ represents the rate of change

(x1, x2) is the X coordinates

(y1, y2) is the Y coordinates

What is meant by slope?

The slope represents the gradient of the line. It is denoted by the symbol “m”. It defines the rate of change.

Can a slope be negative?

A slope can be either positive or negative. If a line has a positive slope (i.e., m > 0), then y always increases when x increases and y always decreases when x decreases. Also, if a line has a negative slope (i.e., m<0), then y always increases when x decreases and y always decreases when x increases.

What is the formula for the slope?

The formula to find the slope is

m = (y2 – y1) / (x2 – x1)

Where

(x1, x2) is the X coordinates

(y1, y2) is the Y coordinates

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4 years ago