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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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
La ecuación para la relación entre la distancia y el número de segundos: y =-25x+160.
Ecuación para la relación entre la distanciax=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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300% of 7 is what percent of 42?
A. 30%
B. 50%
C. 60%
D. 12.5%
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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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)
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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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°
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:
Which choice belongs in space 5!!!
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.
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.
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
An equation of the form 7/8 = x/9 is called a/an_________
Answer:
Proportion.
Step-by-step explanation:
Sorry for the late answer! I hope this helps! :)
√34=
need some solution please
Answer:
34 1/2
Step-by-step explanation:
HELP PLEASE ILL GIVE BRANLIEST
Answer:
200
Step-by-step explanation:
i'm not sure about it, try it i guess
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
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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Given the following function: y=x^2+10x+25 Using your knowledge of discriminants, how many solutions does this function have?
Answer:
One solutionStep-by-step explanation:
Given function:y = x² + 10x + 25This 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 negativeFind the discriminant of the given function:D = b² - 4ac = 10² - 4*1*25 = 100 - 100 = 0This 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.
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)
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
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
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 mmVolume of water to make each cube = 20 × 20 × 20
= 8,000 millimeters cubed
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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|
The absolute value functions that contains the points are:
f(x) = |x| + 2f(x) = |-x| + 2Which 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:
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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.
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)
how do i solve this pleasee
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
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.
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
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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Identify whether the change represent growth or decay and determine the percentage rate increase or decrease in y= 16(1.059)^z
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]
n = ut - ½gt2 Find h when u = 100
t=1% & g=6.4
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
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
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.
which set of measurements could be the side lengths of a triangle
13cm 7cm 4cm
7cm 10cm 8cm
9cm 4cm 4cm
2cm 8cm 12cm
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)
Solve each equation for the given variable 2/3(x-6)=6
Answer:
2/3(x-6)=6
x-6=6(3/2)
x-6=9
x=9+6=15
If $6000 was expected in sales and only $5100 was attained, what reduced fraction represents sales attained?
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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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
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 questionThe 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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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?
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]More can be learned about the vertex of a quadratic function at https://brainly.com/question/24737967
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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?
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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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
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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What is the area of an equilateral triangle that has a perimeter of 36 centimeters? Round to the nearest square centimeter.
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