All categories

1 year ago

Given the function f(x)=4x+10 and g(x), which function has a greater slope?

Mathematics

1 answer:

ladessa [460]1 year ago

8 0

The complete question is

"Given the function f(x) = 4x + 10 and g(x), which function has a greater slope?

x g(x)

2 5

4 7

6 9

f(x) has a greater slope. g(x) has a greater slope. The slopes of f(x) and g(x) are the same. The slope of g(x) is undefined."

The correct option from the given function are A; f(x) has a greater slope.

<h3>What is the slope of a line which passes through points ( p,q) and (x,y)?</h3>

Its slope would be:

$m = \dfrac{y-q}{x-p}$

The slope of a function in the form of y = mx + C is m,

So the slope in the function

f(x)=4x+10

m = 4

Now when you have a function but you only have a table to evaluate it, to calculate the slope

(p, q) = (4, 7)

(x, y) = (6, 9)

This means that:

$m = \dfrac{y-q}{x-p}\\\\m = \dfrac{9-7}{6-4}\\\\m =1$

Now that we have both slopes, the slope of g(x) = 1 and the slope of f(x) =4,

Thus, f(x) has a greater slope than g(x).

Learn more about slope here:

brainly.com/question/2503591

#SPJ1

You might be interested in

Hayley begins solving this problem by combining like terms. 3x + 5x = 10 Which problem begins the same way? A) 5x = 20 B) 3(x +

joja [24]

Solution: The given equation is →3 x+ 5 x=10

As you can see in the above equation on left side of equation the two terms are variables and on right side of equation the term is a constant term.Also you can see there is an operation called addition between the two variables on left side of equation.

In option (A), there is only a single term on right as well as left,so this can't be true.

In option (B), there is a constant and variable on left side of equation.So this is also untrue.

In option (C), variable being divided by numerator, so this is also untrue.

Option (D)3 x - 2 x = 10, is surely correct , because there are two variables on left side of equation and one constant on right side of equation, and there is an operation called subtraction between them .

6 0

3 years ago

What is the greatest possible product of a 3-digit number and a 1 digit number

saw5 [17]

8,991 which is the product of 999 times 9

8 0

3 years ago

Mr. Burn's class is taking a field trip to the planetarium. The trip will cost $27 for each

marysya [2.9K]

Answer:

$486

Step-by-step explanation:

all you do is multiply 27 and 18. i feel like using compatible numbers bc the numbers you have will give you your answer.

7 0

2 years ago

Read 2 more answers

The class average on a math test was an 82 with a standard deviation of 5. If the

Alex787 [66]

Answer:

Option 3 and 4.

Step-by-step explanation:

The z score shows by how many standard deviations the raw score is above or below the mean. The z score is given by:

$z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean, \ \sigma=standard\ deviation$

Given that mean (μ) = 82, standard deviation (σ) = 5

1) For x = 74:

$z=\frac{x-\mu}{\sigma} \\\\z=\frac{74-82}{5} =-1.6$

Option 1 is incorrect

2) For x < 87

$z=\frac{x-\mu}{\sigma} \\\\z=\frac{87-82}{5} =1$

From the normal distribution table, P(x < 87) = P(z < 1) = 0.8413 = 84.13%

Option 2 is incorrect

3) For x = 95:

$z=\frac{x-\mu}{\sigma} \\\\z=\frac{95-82}{5} =2.6$

Option 3 is correct

4) For x < 77

$z=\frac{x-\mu}{\sigma} \\\\z=\frac{77-82}{5} =-1$

From the normal distribution table, P(x < 77) = P(z < -1) = 0.16 = 16%

Option 4 is correct

5) For x > 92

$z=\frac{x-\mu}{\sigma} \\\\z=\frac{92-82}{5} =2$

From the normal distribution table, P(x > 92) = P(z > 2) = 1 - P(z < -2) = 1 - 0.9772 = 0.0228 = 2.28%

Option 5 is incorrect

8 0

2 years ago

Which graph best represents the function f(x) = 3(1.5)x?

jok3333 [9.3K]

Answer:

B). graph of increasing exponential function going through point (0, 3)

Step-by-step explanation:

Given function is $f\left(x\right)=3\left(1.5\right)^x$

Now we need to find about which of the given choices best describes the given function. Where given choices are:

A). graph of increasing exponential function going through point 0, 2

B). graph of increasing exponential function going through point 0, 3

C). graph of increasing exponential function going through point 0, 1

D). graph of increasing exponential function going through point 0, 4

plug x=0 into given function

$f\left(x\right)=3\left(1.5\right)^x$

$f\left(0\right)=3\left(1.5\right)^0=3(1)=3$

Hence graph passes through point (0,3).

growth factor 1.5 is greater than 1 so that means it is increasing function.

Hence correct choice is:

B). graph of increasing exponential function going through point (0, 3)

5 0

2 years ago

Read 2 more answers