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

Answers

Answer 1

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.

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

Its slope would be:

[tex]m = \dfrac{y-q}{x-p}[/tex]

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:

[tex]m = \dfrac{y-q}{x-p}\\\\m = \dfrac{9-7}{6-4}\\\\m =1[/tex]

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).

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Related Questions

An equation of the form 7/8 = x/9 is called a/an_________

Answers

Answer:

Proportion.

Step-by-step explanation:

Sorry for the late answer! I hope this helps! :)

A triangle has a perimeter of 77 cm. One side of the triangle is double the base. The other side is quadruple the base. What are the 3 side lengths? Show your work

Answers

The three sides of the triangles are 11 cm, 22cm, and 44cm.

What is the perimeter of a triangle?

The perimeter of the triangle can be calculated by the sum of all the three sides of the triangle.

A triangle has a perimeter of 77 cm.

Let the side of the triangle be x, y, and the base z.

One side of the triangle is double the base.

x = 2z

The other side is quadruple the base.

y = 4z

The perimeter

X + y + z = 77

or

2z + 4z + z = 77

7z = 77

z = 11

So, the length of base z is 11 cm.

The other sides as

x = 22

y = 44

Therefore,The three sides of the triangles are 11 cm, 22cm, and 44cm.

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Leon drives a long distance to attend a family reunion. At 12:00 PM, his gas tank is completely filled with 12 gallons of gas. Leon’s car uses gas at a constant rate, and after two hours of driving, Leon notices that his car used five gallons of gas. Leon will stop to get gas when his tank is one fourth of the way full. If Leon’s car continues to use gas at the same constant rate and Leon makes no other stops on his trip, at what time will Leon stop to get gas? Be sure to include AM or PM in your answer.

Answers

Based on the rate that Leon's car uses gas, the time that Leon will stop to get gas is 3:36 pm.

When will Leon stop to get gas?

Leon will stop to get gas when the tank is 1/4 full which is:
= 1/4 x 12

= 3 gallons

The rate at which the car uses gas is:

= Gallons used / Time traveled

= 5 / 2

= 2.5 gallons per hour

The number of hours till he has to stop is:

= (12 gallons - 3 gallons) / 2.5

= 3.6 hours

The time that Leon will stop is:

= 12pm + 3.6 hours

= 12 pm  + 3 hours 36 minutes

= 1536 hours

= 3:36 pm

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A cheetah sprints at a speed of 112 km/h. Calculate the time taken in seconds it takes to sprint 1.4 km.

Answers

Answer:

0.75

Step-by-step explanation:

Time = D/S

D = 1.4 km

S = 112km/h

Time = 14/1120

=1/80

1/80 × 60 ( 1 hour =60 s)

=0.75 second

Solve each equation for the given variable 2/3(x-6)=6

Answers

Answer:

2/3(x-6)=6

x-6=6(3/2)

x-6=9

x=9+6=15

HELP PLEASE ILL GIVE BRANLIEST

Answers

Answer:

200

Step-by-step explanation:

i'm not sure about it, try it i guess

Identify whether the change represent growth or decay and determine the percentage rate increase or decrease in y= 16(1.059)^z

Answers

Answer: Growth rate of 5.9%

Step-by-step explanation:

Since 1.059>1, it represents growth.

[tex]1+r=1.059 \\ \\ r=0.059=\boxed{5.9\%}[/tex]

25 Points!

Please Answer the Following Questions About this Chart,

What is the Least Value?

What is the value of Q1?

What is the Median?

What is the value of Q3?

What is the Greatest Value?

Answers

The least value is 1, the greatest value is 7, and the median is 2.

How to calculate the median?

From the information given, the number of dogs is 7, cats are 5, parrots are 2, hamsters are 2, fish is 1, pig is 2 while turtle is 0.

The median is the number in the middle when the numbers are arranged in ascending or descending order. The numbers will be 0, 1, 2, 2, 2, 5, 7. Therefore, the median is 2.

Also, by looking at the picture attached, the least value is 1, the greatest value is 7.

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an outfielder throws a ball to home plate. the balls path is modeled by the graph of y=x/5-x^2/1000 where x represents the horizontal distance of the ball from the outfield and y represents the balls vertical distance above the ground. what are the coordinates of vertex of the ball's path?​

Answers

The coordinates of the vertex for the quadratic function are given as follows: (100,10).

What is the vertex of a quadratic equation?

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The vertex is given by:

[tex](x_v, y_v)[/tex]

In which:

[tex]x_v = -\frac{b}{2a}[/tex][tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]

In this problem, the function is given as follows:

y = -x²/1000 + x/5

y = -0.001x² + 0.2x.

Hence the coefficients are a = -0.001, b = 0.2, c = 0 and the coordinates of the vertex are given as follows:

[tex]x_v = -\frac{0.2}{2(-0.001)} = 100[/tex][tex]y_v = -\frac{(0.2)^2}{4(-0.001)} = 10[/tex]

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Given the following function: y=x^2+10x+25 Using your knowledge of discriminants, how many solutions does this function have?

Answers

Answer:

One solution

Step-by-step explanation:

Given function:

y = x² + 10x + 25

This is a quadratic function.  

A quadratic equation has:

Two solutions if discriminant is positive;One solution if discriminant is zero;No solution if discriminant is negative

Find the discriminant of the given function:

D = b² - 4ac = 10² - 4*1*25 = 100 - 100 = 0

This function has one solution since its discriminant is zero.

Answer:

one real solution

Step-by-step explanation:

Discriminant

[tex]b^2-4ac\quad\textsf{when}\:ax^2+bx+c=0[/tex]

[tex]\textsf{when }\:b^2-4ac > 0 \implies \textsf{two real solutions}[/tex]

[tex]\textsf{when }\:b^2-4ac=0 \implies \textsf{one real solution}[/tex]

[tex]\textsf{when }\:b^2-4ac < 0 \implies \textsf{no real solutions}[/tex]

Given function:

[tex]y=x^2+10x+25[/tex]

Therefore:

[tex]a = 1[/tex][tex]b = 10[/tex][tex]c = 25[/tex]

Substitute the given values into the discriminant:

[tex]\implies 10^2-4(1)(25)=0[/tex]

As the discriminant equals zero, there is one real solution.

The people in Mr. Kendrick's office drive 10, 3, 17, 1, 8, 6, 12, and 15 miles to work. Find the mean, median and range of the data. Mean = miles ​Median = miles ​Range = miles

Answers

Answer:

mean=9

median=9

range=16

Based on the given information we have;

Mean = 9 miles ​

Median = 9 miles ​

Range = 6 miles

What are mean and median?

The mean is the average value which can be calculated by dividing the sum of observations by the number of observations

Mean = Sum of observations/the number of observations

Median represents the middle value of the given data when arranged in a particular order.

We are given that people in Mr. Kendrick's office drive 10, 3, 17, 1, 8, 6, 12, and 15 miles to work.

Mean= 10 + 3 + 17+ 1 + 8 + 6+ 12 + 15 / 8

Mean= 9

The median=9

The range = maximum - minimum

= 6

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1
Type the correct answer in each box. Use numerals instead of words.
The zeros of the function () = -(+1)(-3)(+2) are -1.3, and
Blank).
Reset
Next
and the y-intercept of the function is located at (0,blank

Answers

The zeros of the function f(x) = -(x + 1)(x - 3)(x + 2) are -1, 3, and -2, and the y-intercept of the function is located at (0,6)

The complete question

The zeros of the function f(x) = -(x + 1)(x - 3)(x + 2) are –1, 3, and __and the y-intercept of the function is located at (0,__)

How to determine the zeros?

The function is given as:

f(x) = -(x + 1)(x - 3)(x + 2)

Set the function to 0

-(x + 1)(x - 3)(x + 2) = 0

Divide both sides by - 1

(x + 1)(x - 3)(x + 2) = 0

Split

x + 1 = 0, x - 3 = 0 and x + 2 = 0

Solve for x

x = -1, x = 3 and x = -2

Hence, the zeros of the function f(x) = -(x + 1)(x - 3)(x + 2) are -1, 3, and -2

How to determine the y-intercept?

The function is given as:

f(x) = -(x + 1)(x - 3)(x + 2)

Set x to 0

f(0) = -(0 + 1)(0 - 3)(0 + 2)

Evaluate

f(0) = 6

Hence, the y-intercept of the function is located at (0,6)

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In circle O, and are diameters. The measure of arc DC is 50°.

Circle O is shown. Line segments A C and E B are diameters. Line segment O D is a radii. Point D is between points E and C. Angle B O D is 90 degrees.

What is the measure of Arc E B C?

40°
90°
140°
220°

Answers

A circle is a curve sketched out by a point moving in a plane. The measure of Arc EBC is 220°.

What is a circle?

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the center.

Since in the given circle EB is the diameter, therefore, the measure of ∠EOB will be 180°.

Given the measure of ∠BOD is 90°, while the measure of arc DC is 50°. Therefore, the measure of ∠COD is  40°.

Thus, the measure of Arc EBC is the sum of ∠EOD and ∠COD, therefore, the measure of the Arc EBC is 220°

Hence, the measure of Arc EBC is 220°.

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Answer: D

Step-by-step explanation:

If $6000 was expected in sales and only $5100 was attained, what reduced fraction represents sales attained?

Answers

The reduced fraction that represents the sales attained is 17/20

How to determine the fraction?

The given parameters are:

Expected = $6000

Attained = $5100

The fraction is represented as:

Fraction = Attained/Expected

So, we have:

Fraction = 5100/6000

Divide by 300

Fraction = 17/20

Hence, the reduced fraction is 17/20

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susan ate 3/8 of a pan of brownies. Which decimal represents the amount of brownies left?

A 0.375

B 0.625

C 0.325

D 0.675

Answers

Answer:

B 0.625

Step-by-step explanation:

8/8-3/8=5/8

5/8=0.625

Answer:

B

Step-by-step explanation:

First you have to find how much 1/8 is as a decimal, which is 0.125. Multiply 0.125 by 3 to get 3/8 or add it 3 times which gives you 0.375. That knocks out 2 answers already A and C because it's asking how many brownies are left. You can either subtract 0.375 from 1 or you can do an easier way. .075 + 0.25 = 0.1, so it can't be D because it would be over 1 pan of brownies which leaves you with B. B is your answer.

n = ut - ½gt2 Find h when u = 100
t=1% & g=6.4

Answers

Step-by-step explanation:

h = ut - ½gt²

h = 100 (0.01) – 1/2 × 6.4 × (1/100)²

h = 1 – 1/2 × 6.4 × 0.0001

h = 1 – 0.00032

h = 0.99968 ≈ 0.9

which set of measurements could be the side lengths of a triangle
13cm 7cm 4cm
7cm 10cm 8cm
9cm 4cm 4cm
2cm 8cm 12cm

Answers

Answer:

Hi,

Step-by-step explanation:

(13,7,4) may not be a triangle since 13 is not little than 7+4=11
(7,10,8,) may be a triangle (7 < 10+8 , 10 < 7+8,  8 < 10+7)

(9,4,4) no since 9 is not < 4+4

(2,8,12) no since 12 is not < 2+8

The only answer is (7,10,8)

The graph of an absolute value function contains the points (–3, 5), (0, 2) and (3, 5). Which could be the function represented by this graph? Check all that apply.

f(x) = |x| + 2
f(x) = –|x| + 2
f(x) = |x| – 2
f(x) = |–x + 2|
f(x) = |–x| + 2
f(x) = –|x| – 2
f(x) = |x + 2|

Answers

The absolute value functions that contains the points are:

f(x) = |x| + 2f(x) = |-x| + 2

Which could be the function represented by this graph?

Here we have the points (-3, 5), (0, 2), and (3, 5). We want to see which ones of the given functions have that points.

To check that, we need to evaluate the functions in the first value of each point and see if the outcome is the second value of the correspondent point.

For example, for the first equation:

f(-3) = |-3| + 2 = 5   so it has the point (-3, 5)f(0) = |0| + 2 = 2  so it has the point (0, 2)f(3) = |3| + 2 = 5  so it has the point (3, 5).

The other option that also contains these 3 points is:

f(x) = |-x| + 2

f(-3) = |3| + 2 = 5  so it has the point (-3, 5)f(0) = |-0| + 2 = 2  so it has the point (0, 2)f(3) =  |-3| + 2 = 5  so it has the point (3, 5).

And all the other options can be trivially discarded (by evaluating them).

So the two correct options are:

f(x) = |x| + 2f(x) = |-x| + 2

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Kayden es piloto de acrobacias. Una vez
que debía escapar de un edificio a punto de
explotar, manejó a velocidad constante para
llegar a la zona de seguridad, que estaba a
160 metros de distancia. Después de 3
segundos de manejar, estaba a 85 metros
de la zona de seguridad.
Sea y la distancia (en metros) a la zona de
seguridad después de a segundos.
Completa la ecuación para la relación
entre la distancia y el número de
segundos.
=
Y

Answers

La ecuación para la relación entre la distancia y el número de segundos: y =-25x+160.

Ecuación para la relación entre la distancia

x=0, y=160m

x=3, y=85m

Dónde:

x=Tiempo

y=velocidad

El primer paso es encontrar el tiempo

Tiempo = (85-160m)/ 3s

Tiempo=-75m/3s

Tiempo=-25 m/s

El segundo paso es crear la ecuación

y =-25x+160

Por lo tanto la ecuación de la relación entre la distancia y el número de segundos: y =-25x+160.

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how do i solve this pleasee

Answers

This data should be displayed as a Histogram as there are specified into different ranges.

Bar graphs should be chosen only when they are divided into various categories.

Plot the data's in Histogram format like this (range to range):

write the equation for the graph

Answers

Answer:

y=x-4

Step-by-step explanation:

Writing this in slope-intercept form or y=mx+b.
y = y coordinate
m = slope
x = x coordinate
b = y intercept (where the line intercepts on the y axis)

The slope is 1 because it's moving up and if you move over 1 unit to the right, then 1 unit up, you would cross another point. The y-intercept is -4 because that's where the line intercepts the y-axis.

Hence, the equation would be y=x-4

Note: I did not have y=1x-4 because 1x is the same as x.

What is the area of an equilateral triangle that has a perimeter of 36 centimeters? Round to the nearest square centimeter.

Answers

Answer:

(a is size of side of triangle)

the perimeter of equilateral triangle =3a

or, 36=3a

Thus, a = 13cm

area of equilateral triangle

=√3/4*(a^2 )

=√3/4*(13^2)

=73cm^2

√34=

need some solution please​

Answers

Answer:

34 1/2

Step-by-step explanation:

The length of a rectangular dassroom floor is
19 feet less than twice its width. write an
expression to represent the area of the floor
in simplest form.

Answers

Answer:

W(2W-19)

Step-by-step explanation:

let length = L

length= L feet

let Width= W

from the question,

twice the width = 2W

then L = 2W-19

the area of the rectangle

Area= length × width

Area= 2W-19×W

Area= 2W^2-19W

Area= W(2W-19)

Which choice belongs in space 5!!!

Answers

CPCTC belongs in space 5

Select the correct answer.
The Cohen family started their wheat farm in 1995. The equation models the number of bushels of wheat they produced each year, where tis
the number of years since 1995.
C(t)= 7,000+500 In(t + 1)
The Mason family also started their wheat farm in 1995. The graph models the number of bushels of wheat they produced each year, where t
is the number of years since 1995.
M(t)

Answers

A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. The correct statement is D.

What is a graph?

A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.

If we draw the graph of the Cohen family, then the graph will look as shown below. Therefore, if we observe the graph of the Cohen family and the graph of the Mason family. Then we will observe that the wheat production of both farms will approach a stable amount as the years pass.

Hence, the correct statement is D.

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Savannah made ice cubes for a party. Each ice cube measured 20 mm by 20 mm by 20 mm. How much water was needed to make each cube?
2,000 millimeters cubed
2,400 millimeters cubed
6,000 millimeters cubed
8,000 millimeters cubed

Answers

The quantity of water was needed to make each cube given the dimensions of the cubes is 8,000 millimeters cubed

Volume of each ice cube?

Length = 20 mmWidth = 20 mmHeight = 20 mm

Volume of water to make each cube = 20 × 20 × 20

= 8,000 millimeters cubed

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Some of the following integers are prime. Compute the sum of the prime integers in the list. (a) 197 (b) 497 (c) 1111 (d) 2111 (e) 2643 (f) 3599

Answers

The sum of the prime integers in the list is 10158.

What are Prime Numbers ?

The numbers that are divisible by 1 or itself is called a Prime Number.

The sum of two prime numbers is not a prime number

The given prime numbers are

197 , 497, 1111 ,2111 , 2643 , 3599

=197+ 497+1111+2111+2643+3599

= 10158

The sum of the prime integers in the list is 10158.

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In a race, karen rode her bike for 1 hours
and then swam for 45 minutes. how long
did karen spend riding her bike and
swimming in the race? (1 hour - 60 minutes)

Answers

Karan swam and biked for a total of 1 hour and 45 minutes.

let's say 60=100 for a total of 100 equaling 1 hour.

Therefore, 100+45= 145


300% of 7 is what percent of 42?
A. 30%
B. 50%
C. 60%
D. 12.5%

Answers

Answer:

B. 50%

Step-by-step explanation:

Step by step by me I guess

The solution is , B) 50% of 42 is 300% of 7.

What is percentage?

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here. we have,

given that,

300% of 7

we have to that is what percent of 42.

now, we know,,

300% of 7 = 300 * 7 /100

[300% is the same as 3. So to find 300% of 7 , 3 times 7 and get 21.]

i.e. 300% of 7 = 3* 7

                       = 21

Now we need to find _% times 42 = 21.

let, it = x

now,

Divide 21/42 to get 0.5.

This is the same thing as 50%.

so, we get,

50% of 42 = 21

i.e. 300% of 7 = 50% of 42

Hence, The solution is , B) 50% of 42 is 300% of 7.

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