2) Compare the following functions to determine which has the greater rate of change. Function 1: y = 2x + 6 Function 2: 0 4 -2 2 Y ] == a
You did not clearly mention the second function. So, I am assuming you meant to say that the second function has the table values such as:
x y
0 4
-2 2
So, I am solving the question based on this information table of the 2nd function, which anyways will clear your concept.
Answer:
We conclude that the rate of change of a function '1' is greater than the rate of change of function '2'.
Step-by-step explanation:
Given the function 1
[tex]y = 2x + 6[/tex]
Comparing the function with the slope-intercept form of the line equation of a linear function
[tex]y=mx+b[/tex]where m is the rate of change or slope of the line
so
[tex]y = 2x + 6[/tex]
rate of change = m = 2
Now, given the function 2
x y
0 4
-2 2
Taking the slope of the two points in the table
(0 4), (-2, 2)
[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(0,\:4\right),\:\left(x_2,\:y_2\right)=\left(-2,\:2\right)[/tex]
[tex]m=\frac{2-4}{-2-0}[/tex]
[tex]m=1[/tex]
So, the rate of change or slope of the function 2 is: m = 1
Hence, we observe that:
Rate of change of function 1 = m = 2Rate of change of function 2 = m = 1As the rate of change of a function '1' is greater than the rate of change of function 2.
i.e.
m = 2 > m = 1
Therefore, we conclude that the rate of change of a function '1' is greater than the rate of change of function '2'.
A football team needs to move the ball at least 10 yards forward from the original starting point in order to get a first down. Angel runs for 6 yards on the first play. On the second play, he is sacked for −9 yards. At least how many yards does his team need on the third play to get a first down?
Answer:
13 yards
Step-by-step explanation:
Required distance moved from original position should be ≥ 10 yards in other to get a first down.
Run on first play = 6 yards
Second play = - 9yards
The least number of yards needed on third play :
Let yard needed on third play = x
First play + second play + third play = 10
6 + (-9) + x = 10
6 - 9 + x = 10
-3 + x = 10
x = 10 + 3
x = 13 yards
At least 13 yards is needed on third playbto get a first down.
Which is an example of quantitative data?
A the number of textbooks in a classroom
B. the condition of the textbooks in a classroom
C. the ID numbers of the textbooks in a classroom
D. the colors of the textbooks in a classroom
Answer:
A. the number of textbooks in a classroom
Step-by-step explanation:
quantitative data is information about quantities; that is, information that can be measured and written down with numbers.
1. COORDINATE GEOMETRY Classily AABC with vertices A-2, -1), B(-1,3), and C(2,0) as scalene, equilateral or isosceles.
Answer:
I'm pretty sure its a equilateral
Step-by-step explanation:
I graphed it
What is the value of x in this equation? 2x + 2 = -46
Answer:
x = -24
Step-by-step explanation:
1. Subtract 2 from -46 to cancel out the addition. 2x = -48
2. Divide both sides by 2. x = -24
What is the equation of the line that passes through (-2, 92) and has a slope of −33/2 ?
A.) 33x + 2y = 75
B.) 33x + 2y = -24
C.) 33x + 2y = -57
D.) 35x + 2y = -75
Jamal drew the function below. Which explains whether or not his function is linear?
On a coordinate plane, a line with negative slope goes through points (0, 1.5) and (1.5, 0).
Answer:
"line" a straight line graph is always linear once the line isn't straight, it'll no longer be called a line and will never be linear anymore
Answer:
it is linear because it has a constant rate of change
Step-by-step explanation:
Expand the brackets and simplify.
(0.5)(6x – 2) – 3(x – 1)
Answer:
2
Step-by-step explanation:
(0.5)(6x-2)-3(x-1) = (3x-1)-(3x-3)
= 3x-1-3x+3
= 2
Find the value of x for which m parallel n 3x - 38 and 2x + 24
Answer:
35x
26x
Step-by-step explanation:
it help to understand..:)
Write an inequality to end up with x < 15
Answer:
14<15
Step-by-step explanation:
Any number less than 15 can work.
PLEASE HELP ILL GIVE YOU 100 POINTS IF YOU DO IT RIGHT !!!!!
translate each sentence into an equation.
1. Four more than twice a number is 8.
2. Three more than four times a number is 15.
3. Five less than twice a number is 7.
4. One less than four times a number is 11.
5. Seven more than the quotient of a number and 2 is 10.
6. Six less than six times a number is 12.
7. Five less than the quotient of a number and 3 is -7.
8. Seven more than twice a number is 1.
Define a variable. Then write and solve an equation to find each
number.
9. The difference between 5 times a number and 3 is 12.
10. Nine more than three times a number is -6.
11. Nine more than the quotient of a number and 4 is 12.
12. Four less than the quotient of a number and 3 is -10.
13. Nine less than six times a number is -15.
14. Three less than the quotient of a number and 6 is 1.
15. Eight more than the quotient of a number and 5 is 3.
16. The difference between twice a number and 11 is -23.
Answer:
1. 4+(2x2)
2. 3+(3x4)
3. (6x2)-5
4. (3x4)-1
5. 7+(6/2)
6. (6x3)-6
7. (6/3)-5
8. 7+(-3x2)
9. (5x3)-3
10. 9+(-5x3)
11. 9+(12/4)
12. (-2x3)-4
13. (-1x6)-9
Step-by-step explanation:
In the video game Digging Up Dinos, players gain and lose points while digging for dinosaur
bones. In Level 1, Emmet earned 14 points for finding the foot bone of a dinosaur. Then, he
lost 17 points for accidentally stepping on and breaking the bone.
What was Emmet's score at the end of Level 1?
what is the equation of the line in slope intercept form
Answer:
y=-3/2+1
Step-by-step explanation:
can some one please help me
Answer: Number one is C I believe
Step-by-step explanation: 4x - 5 =7
4x -5 + 5=7+5
4x=12
4x-4=12 divided by 4
x= 3
Answer:
A and D
Step-by-step explanation:
When you have an equation that has an x on one side with other things you do the opposite of the thing on the same side as the x. You would add 5 to 17 then you would divide by 4 to seperate the four from the x.
In functions one input has only one output. Since 3 has two outputs it is not a function.
If c=48y+.99n what is y?
Show that x + y : x - y= 3 : 2
Answer:
x + y : x - y = (5/2+1/2) : (5/2-1/2)
x + y : x - y = 3 : 2
Therefore, x + y : x - y= 3 : 2 is proved.
Step-by-step explanation:
Given
x + y : x - y = 3 : 2
As
[tex]x + y = 3[/tex]
[tex]x - y = 2[/tex]
Solving to find x and y
[tex]\begin{bmatrix}x+y=3\\ x-y=2\end{bmatrix}[/tex]
[tex]x-y=2[/tex]
[tex]-[/tex]
[tex]\underline{x+y=3}[/tex]
[tex]-2y=-1[/tex]
[tex]\begin{bmatrix}x+y=3\\ -2y=-1\end{bmatrix}[/tex]
solve for y
[tex]-2y=-1[/tex]
Divide both sides by 2
[tex]\frac{-2y}{-2}=\frac{-1}{-2}[/tex]
[tex]y=\frac{1}{2}[/tex]
[tex]\mathrm{For\:}x+y=3\mathrm{\:plug\:in\:}y=\frac{1}{2}[/tex]
[tex]x+\frac{1}{2}=3[/tex]
[tex]x+\frac{1}{2}-\frac{1}{2}=3-\frac{1}{2}[/tex]
[tex]x=\frac{5}{2}[/tex]
so
[tex]x=\frac{5}{2},\:y=\frac{1}{2}[/tex]
Thus,
x + y : x - y = (5/2+1/2) : (5/2-1/2)
x + y : x - y = 3 : 2
Therefore, x + y : x - y= 3 : 2 is proved.
Suppose y varies directly as x. If y = 150 when x = 3, find y when x = 5.
6. The sum of the measures of the angles in any triangle is 180 degrees. In triangle ABC, angles A and B have the same measures, while angle C is 57 degrees larger than the other two angles. Find the measure of angle C. a. 41 degrees b. 98 degrees c. 82 degrees d. 139 degrees Answer:
Answer:
well, if we want to know the measure angle c. we need to know the other angles measures. We know that c. is 57 more than a. and b.
So, if the triangle is 180 degrees in total, than we need to subtract 57 frm 180 to get 123. Now we divide that by 2 because that is what the other 2 angles will measure. 123 divides by 2 is 61.5.
now we subtract 61.5 from 180 to get 118.5
now to subtract 61.5 again because the 2 angles are the same measure. 118.5-61.5 is 57. so it cant be any of the answers you provided if angle a and b are the same
Step-by-step explanation:
plz mark brainliest!
Byron's MP3 player holds 75 songs. He has space for 26 more songs. Write an equation to find how many songs are already on Byron's MP3 player.A.) 75 + s = 26 B.)75/s = 26 C.) 26s = 75 D.)s + 26 = 75
Answer:
D
Step-by-step explanation:
let the number of songs Byron have be s songs.
s + 26 = 75
Answer:
D
Step-by-step explanation:
s= number of songs played.
s+26=75
s-26=75-26
s=49
Six times the sum of a number
and two is 30. Find the number
Answer:
x=5
Step-by-step explanation:
6(5)= 30
work out
a. 5 x 1/8
b.1/7 x 6
plzz help
Answer:
Step-by-step explanation:
5 * 1/8= 5/8
1/7*6= 6/7
Place the whole number over 1 and multiply.
please help asap, will give brainiest. TY! :3
Answer:
Page 1::1 & 3 & 4
Page 2:6
Page 3:8/1
Page 4:15 3/4
Step-by-step explanation:
HOPE THIS HELPS!!
Anyone mind helping me. Correctly
Answer:
-6
Step-by-step explanation:
By looking at the graph, you can see that the graph intersects the x-axis at (-6,0), that is the zero of g.
Answer:
-9
Step-by-step explanation:
The graph's y-intercept is -9, which is the zero of g.
Julie made 25 international long-distance phone calls to London last month. The scatterplot below shows the length and cost of each phone call she made. Which conclusion is best supported by the scatterplot? As the length of a call increases, the cost of the call remains the same. As the length of a call increases, the cost of the call increases. There is no relationship between the length of a call and the cost of a call. As the length of a call increases, the cost of the call decreases.
Answer:
There is no relationship between the length of a call and the cost of a call.
Step-by-step explanation:
If we consider the scatter plot, we will discover that there is no identifiable relationship between the cost of calls and the length of calls.
We can't see any increases or decrease of call cost with call length from the plot. Hence, there is no relationship between the length of a call and the cost of a call.
A cab company charges $2.75 per mile, plus an extra surcharge. Bernardo took a cab to the
airport, which was 8 miles from his home. His total fare came to $29.50. Let x represent the
number of miles and y represent the total cost of the cab ride.
a. What is the slope-intercept equation of the line that fits this information?
b. If a customer paid $35, how many miles did they travel in the cab?
Answer:
a) $7.50
b) 10 miles
Step-by-step explanation:
a)
y=mx+b
y=$29.50
x=8
m=$2.75
b=unknown
29.50=2.75(8)+b
29.50-22=22-22+b
7.50=b
Check:
2.75(8)+7.50=29.50
b)
y=$35
x=unknown
m=2.75
b=7.50
35-7.50=2.75x+7.50-7.50
27.5/2.75=2.75/2.75x
10=x
(PLEASE HELP ME)
Which section of the function is decreasing?
A
B
C
D
Answer:
section d
Step-by-step explanation:
Have a great day
Answer:
A is at rest B is accelerating or increase Cis at test Cto D is decreasing
PLEASE HELP I NEED THIS TODAY!!
Answer: 201.06
Step-by-step explanation: The formula is pi times the radius squared.
A bakery makes 40 different flavors of muffins. 25% of the flavors have chocolate as one of the ingredients. How many flavors have chocolate and how many don’t?
Answer: 10 with chocolate, 30 without chocolate.. I think
Answer:
30 with chocolate, 10 without chocolate
Step-by-step explanation:
Hey luvs I NEED HELP ON THIS
Answer:
F. Outta. Here
Step-by-step explanation:
Answer:
a. 260m
b. 50m
Step-by-step explanation:
First, triangle POQ and triangle PNR are similar triangles, b/c they have one same angle(OQP), and OQ//NR.
Therefore, OP/OQ = NP/NR.
NP = OP + ON = 175 + 175 = 350
(a) 175/130 = 350 /NR, NR = 260
(b) 175/ (X+10) = 350/ (3X+5) , x = 15, NR = 50
HELP PLEASEE THIS IS MY LAST QUESTION ILL MARK BRAINLIEST
Answer:
F. y = 9.5x + 22.5
Step-by-step explanation:
let the number of shirts be x
For every shirt he pays $9.50 and $22.5 is the additional price