What is the average rate of change from x=-2 to x=0
Answer: 1
Step-by-step explanation:
What are the values of r and a1 for 1/4(2)k-1
Given:
[tex]\sum_{k=1}^{6}\dfrac{1}{4}(2)^{k-1}[/tex]
To find:
The values of r and [tex]a_1[/tex].
Solution:
We have,
[tex]\sum_{k=1}^{6}\dfrac{1}{4}(2)^{k-1}[/tex]
Here,
[tex]a_k=\dfrac{1}{4}(2)^{k-1}[/tex] ...(i)
We know that, kth term of a GP is
[tex]a_k=a_1(r)^{k-1}[/tex] ...(ii)
From (i) and (ii), we get
[tex]a_1=\dfrac{1}{4}[/tex] and [tex]r=2[/tex]
Therefore, the correct option is C.
Answer:
c
Step-by-step explanation:
1. Which would be a more helpful for solving the system: adding the two equations or subtracting
one from the other? Explain your reasoning.
2. Solve the system without graphing. Show your reasoning.
2x+1/2y=7
6x-1/2y=5
Answer:
1) Subtracting one from the other
2) x = 0.375 and y = 0.125
Step-by-step explanation:
Equation 1 :
[tex]\frac{2x+1}{2y}=7\\\\[/tex]
Equation 2:
[tex]\frac{6x-1}{2y}=5[/tex]
To solve these equations by the Elimination method we multiply equation 1 with 6 and multiply equation 2 with 2 so now,
[tex]\frac{2x+1}{2y} =7\\\\2x+1=14y\\\\Multiplying\ Equation\ 1\ with\ 6\\\\12x+6=84y[/tex]
Now for the second equation:
[tex]\frac{6x-1}{2y}=5\\\\6x-1=10y\\\\Multiplying\ equation\ 2\ with\ 2 \\\\12x-2=20y[/tex]
Now subtracting equation 2 from equation 1
[tex]12x+6=84y\\\\12x-2=20y\\\\Subtracting\ leads\ to\\12x-12x+6-(-2)=84y-20y\\0+8=64y\\8=64y\\8/64=y\\0.125=y[/tex]
now insert this value of y into any equation
lets insert it into equation 1
[tex]\frac{2x+1}{2y} =7\\\\2x+1=14y\\2x+1=14(0.125)\\2x+1=1.75\\2x=1.75-1\\2x=0.75\\x=0.75/2\\x-0.375[/tex]
Please help.
Write a situation that can be represented with this graph.
Select all systems of equations that have no solutions.
A. y=5-3x
y=-3x+4
B. Y=4x-1
4y=16x-4
C.5x-2y=3
10x-4y=6
D.3x+7y=42
6x+14y=50
E. Y=5+2x
Y=5x*2
The system of equation which have no solution are A, B and D.
What is a slope ?Slope defines rate of change or we can also say it is rise over run.
According to the given question we have to determine given system of equations which have no solution.
We know when two lines are parallel to each other they have no solution cause they have no common intersection points and we also know parallel lines have same slope with different y intercept.
Let us write all the system of equations in slope intercept form which is
y = mx + b.
A.
y = -3x + 5.
y = -3x + 4.
This system of equation has no solution cause have have same slope and different y intercept hence parallel to each other.
B.
y = 4x - 1.
4y = 16x - 1
y = 4x - 1/4.
Same slope different y intercept so no solution.
C.
-2y = -5x + 3.
y = (5/2)x - 3/2.
-4y = -10x + 6.
y = (5/2)x - 3/2.
Same slope same y intercept so they are on top of another so infinite no. of solutions.
D.
3x + 7y = 42
7y = - 3x + 42.
y = (-3/7)x + 6.
14y = -6x + 50.
y = (-3/7)x + 25/7.
Same slope different y intercept so they are parallel to each other.
E.
y =2x + 5.
y = 5x².
Different slope and y intercept so they are not parallel.
learn more about slope here :
https://brainly.com/question/3605446
#SPJ2
There are several different methods for finding the slope of a line depending on the information given. In your own words, please describe one method for finding slope and provide an example for using said method.
Laurie filled a container 2/3 full with water. She put 42 2/3 ounces of water in it. What is the capacity of Laurie's container?
Answer:
64 ounces
Step-by-step explanation:
2/3=42 2/3
1/3=21 1/3
21 1/3*3=64
y = 4 + 6x
Siope-interce
What linear equation form is this equation written in?
Answer:
We can write this equation in slope-intercept form
y
=
m
x
+
b
where
m
is the slope and
b
is the
y
-intercept.
We know
m
=
−
4
and
b
=
6
, so we can insert these into the equation to get
y
=
−
4
x
+
6
Hope this helps!
Can y’all please help me!!
Answer:tyler = 1.5 meters in 1 second
Step-by-step explanation:
what is 0.13095238095 as a fraction
Answer: 13095238095/100000000000
Step-by-step explanation: To write 0.13095238095 as a fraction you have to write 0.13095238095 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
0.13095238095 = 0.13095238095/1 = 1.3095238095/10 = 13.095238095/100 = 130.95238095/1000 = 1309.5238095/10000 = 13095.238095/100000 = 130952.38095/1000000 = 1309523.8095/10000000 = 13095238.095/100000000 = 130952380.95/1000000000 = 1309523809.5/10000000000 = 13095238095/100000000000
The graph shows the relationship between time, in hours, and the population, in thousands of a culture of bacteria. y 45 40 35 30 Population 25 20 15 10 5 0 1 2 3 4 5 6 7 8 9* Time (hours) Which statement describes the meaning of the point (0,10) on the graph? O A. After 10 hours, there are 10,000 bacteria. B. After 10 hours, there are no more bacteria. C. The population began with 10,000 bacteria. D. The population is multiplying itself by 10 each hour.
Answer:
The answer is c.) The population began with 10,000 bacteria!!!
Step-by-step explanation:
Becouse if you find the equation with( -5) you will match it up to (25) and there for the answer c.) is correct!!!
The graph of fx) is shown.
Over which interval on the x-axis is there a negative rate of change in the function?
0-2 to-1
O1.5to 0.5
0 to 1
O 0.5 to 1.5
Answer:
heres the graph
Step-by-step explanation:
Please solve
1) 4x-5/5=3
2) 3(2x-5) =7
3) 3x+2/2=13
Ans4x55-(4x)
Step-by-step explanation:
The measure angle of 3
Answer:
69
Step-by-step explanation:
X is 13 cause of the corresponding angles when you solve and then 3 is supplemebntary so 180-111 is 69
Answer:
69
Step-by-step explanation:
180 - 111 = 69
5. Please write the equation of a line in y=mx+b format. Find the SLOPE first then find the Y-INTERCEPT (b) Your answer
Answer:
y = [tex]\frac{5}{3}x-1[/tex]
Step-by-step explanation:
Let the equation of the line is,
y = mx + b
Here m = slope of the line
b = y-intercept
Slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
From the graph attached,
Since, the given line passes through (0, -1) and (3, 4),
Slope 'm' = [tex]\frac{4+1}{3-0}[/tex]
m = [tex]\frac{5}{3}[/tex]
y - intercept 'b' = -1
Therefore, equation of the line will be,
y = [tex]\frac{5}{3}x-1[/tex]
sorry im a bit slow could somebody help please
Answer:
The numerator is the number on top of the bottom number (denominator)
Find tan theta if sec theta = sqrt 37/6 and sin theta < 0
Answer: -1/6
Step-by-step explanation:I’ve taken the test
Yesterday at 12 a.m. (midnight) the temperature was 1.5oF . The temperature change in the next 8-hour period of time was - ⅘ degree per hour. The temperature change for a 3-hour period after that was ¾ degree per hour.
1. What was the temperature at 11:00 a.m.?
2. What was the change in temperature from midnight to 11 a.m.?
Answer:
Free points?
Step-by-step explanation:
Please help, if you don’t know, don’t answer.
Answer:
The answer is 1.
Step-by-step explanation:
A function, f(x) = x, is vertically translated 4 units up and then reflected across the y-axis. What's the new function in terms of g(x)?
Answer:
The new function is g(x) = -x + 4
Step-by-step explanation:
If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)∵ A function f(x) = x
∵ It is vertically translated 4 units up
→ By using the 1st rule above, the value of k = 4
∴ k = 4
∵ Its image h(x) = f(x) + k
∴ Its image h(x) = f(x) + 4
∴ Its image h(x) = x + 4
∵ Then it is reflected across the y-axis
→ By using the 2nd rule above, change the sign of x in h(x)
∵ h(x) = x + 4
∴ g(x) = h(-x)
∴ g(x) = -x + 4
∴ The new function is g(x) = -x + 4
PLZ help geometry proof. Will give Brainlyiest I’ve posted question 3 times so you can get triple the points
Answer:
The two column proof can be presented as follows;
Statement [tex]{}[/tex] Reason
1. p║q [tex]{}[/tex] Given
∠1 ≅ ∠11
2. ∠1 ≅ ∠9 [tex]{}[/tex] Corresponding angles on parallel lines
3. ∠9 ≅ ∠11 [tex]{}[/tex] Transitive property of equality
4. a║b [tex]{}[/tex] Corresponding angles on parallel lines are congruent
Step-by-step explanation:
The statements in the two column proof can be explained as follows;
Statement [tex]{}[/tex] Explanation
1. p║q [tex]{}[/tex] Given
∠1 ≅ ∠11
2. ∠1 ≅ ∠9 [tex]{}[/tex] Corresponding angles on parallel lines crossed by a common transversal are congruent
3. ∠9 ≅ ∠11 [tex]{}[/tex] Transitive property of equality
Given that ∠1 ≅ ∠11 and we have that ∠1 ≅ ∠9, then we can transit the terms between the two expressions to get, ∠9 ≅ ∠11 which is the same as ∠11 ≅ ∠9
4. a║b [tex]{}[/tex] Corresponding angles on parallel lines are congruent
Whereby we now have ∠9 which is formed by line a and the transversal line q, is congruent to ∠11 which is formed by line b and the common transversal line q, and both ∠9 and ∠11 occupy corresponding locations on lines a and b respectively which are crossed by the transversal, line q, then lines a and b are parallel to each other or a║b.
Bob was using a recipe for a large cake that requires two-thirds of a tablespoon of cinnamon.
Instead of making one large cake, Bob decided to use the recipe to make six small cakes. How
much cinnamon should he used for each of the small cakes?
A tree has a shadow 900 inches long. At the same time of day, Evelyn's shadow is 72 inches long. The two triangles formed by the tree, Evelyn, and their shadows are similar right triangles, as shown in the diagram below.
Evelyn is 65 inches tall. What is the height of the tree in inches?
Answer:
812.5 inches
Step-by-step explanation:
Turn these numbers into fractions:
[tex]\frac{h}{900} \frac{65}{72}[/tex]
Solve 900/72 to get 12.5. This means that multiplying 72 x 12.5, you get 900. So, to find the height of the tree: h you multiply 65 x 12.5. Your answer to this is 812.5.
Hope it helps!
what is 2+2 glizzy yes yes yes yes yes yes
Answer:
2 + 2 = 4
Step-by-step explanation:
xos.qoqajeiwnsjsbs
Answer:
58
Step-by-step explanation:
bc it just it
it could b3 4 tho...
Which inequalities are true? Select the four correct answers.
StartRoot 5 EndRoot less-than 2.3 less-than StartRoot 6 EndRoot
StartRoot 5 EndRoot less-than 2.4 less-than StartRoot 6 EndRoot
StartRoot 4 EndRoot less-than StartRoot 5 EndRoot less-than StartRoot 5.5 EndRoot
StartRoot 8 EndRoot less-than 3 less-than StartRoot 9 EndRoot
StartRoot 8 EndRoot less-than 2.9 less-than StartRoot 9 EndRoot
StartRoot 4 EndRoot less-than 4.5 less-than StartRoot 5 EndRoot
PlS HURRY 10 POINTS!!!!!!
Answer:
A.
B.
C.
F.
Step-by-step explanation:
It might be wrong but im about to finish
Edit: This is incorrect
Answer:
abce
Step-by-step explanation:
I'm still doing the test, but I will send a screen picture once I'm done.
GINVING BRAINLIST
Which graph can be used to find the solution to the system of equations listed below?
A) Graph F
B) Graph G
C) Graph H
D) Graph J
Doughnuts at one shop cost £1.30 each.
Doughnuts at a second shop cost 20% more.
What is the difference in the cost of doughnuts at the two shops?
Answer:
0.26
Step-by-step explanation:
easy
hope it helps
Find the value of X in the diagram above
Answer:
17
Step-by-step explanation:
for L to be parallel to M the two angles have to be supplementary so to add up to 180°
6x+8+4x+2 =180
10x+10 =180
10x = 180-10
10x = 170
x=170/10
x=17
What triangle is similar to triangle STU?
A) XYZ
B) XZY
C) YXZ
D) ZXY
Answer:
The correct answer is ZXY
Step-by-step explanation:
hopr it helps
have a great day
:)
8.3x2 +0.9xy + 3.6
7.4x2 - 1.7xy + 6.4
Answer:
20.2 + 0.9xy
&
20.2-1.7xy
Step-by-step explanation:
