Answer:
[tex]\bold {a_n=-3n+8}[/tex]Step-by-step explanation:
[tex]a_n=a_1+d(n-1)\\\\a_3=5+d(3-1)\\\\-1=5+2d\\\\-6=2d\\\\d=-\frac62=-3\\\\\\a_n=5+(-3)(n-1)\\\\a_n=5-3n+3\\\\a_n=-3n+8[/tex]
Check: [tex]a_{10}=-3(10)+8=-30+8=-22[/tex]
Help!!!!
What is f(-5) if f(x) = |2x – 1] + 10?
Once a month, volunteers from the Green Sea Club clean up litter at the beach. Last month, the volunteers picked up 8 pounds of trash in 4 hours. This month, the same group of volunteers will spend 3 hours picking up trash.
If they pick up trash at the same rate, how many pounds of trash should the volunteers pick up this month?
Answer:
Step-by-step explanation:
8 pounds.... 4hours
x pounds.... 3 hours
x=3 ×8 :4
x=24 :4
x=6 pounds of trash
The number of pounds of trash should the volunteers pick up this month is 6.
Calculation of the number of pounds:Since Last month, the volunteers picked up 8 pounds of trash in 4 hours. This month, the same group of volunteers will spend 3 hours picking up trash.
So here we can do
x=3 ×8 :4
x=24 :4
x=6
Hence, The number of pounds of trash should the volunteers pick up this month is 6.
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I need help on this plz
Answer:
d
Step-by-step explanation:
because i do not know i need points
Use the relationship graphed to answer the questions below.
Is the relation a function? Use the keypad below to select your answer.
What is the domain?
What is the range?
Simplify (5.2 -4.5) - 5.5 + 4.8
Answer:
She moved the parentheses in step 2!
Step-by-step explanation:
(5.2-4.5)-5.5+4.8 Solve inside the parentheses first.
0.7-5.5+4.8 Solve in order
-4.8+4.8=0
Which value of n makes this equation true?
3n + 3/5 = 5n-1/9
A.
n=-16
B.
n=-2
c.
n= 2
D
n = 16
The value of n makes this equation true is -16.
How can we find the solution to an equation?We do same operations on both the sides so that equality of both expressions doesn't get disturbed. Solving equations generally means finding the values of the variables used in it for which the considered equation is true.
Sometimes we can find such value, and sometimes it is not possible at all, or sometimes, there are infinite number of solutions.
WE have been given an expression as;
3n + 3/5 = 5n-1/9
Combine the like terms;
3n + 3/5 = 5n-1/9
3n - 5n = -3/5 -1/9
-2n = -27 - 5 / 45
n = -16
The value of n makes this equation true is -16.
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What is the quotient? 5/-6 5/3
Answer:
5/-6 divided 5/3 = -0.5
can someone help me plz?
Answer:
1. 18g - 35
2. 16g - 25h
3. -4
Step-by-step explanation:
A car uses a gallon of gas for every 45 miles driven. Identify the
independent and dependent variables of this situation.*
O Dependent: miles; Independent: gallons
O Dependent: gallons, Independent: miles
Dependent: miles, Independent: hours
O Dependent: cars, Independent: gallons
Answer:
O Dependent: miles; Independent: gallons
Step-by-step explanation:
An independent variable is one which can stand alone. Its values is not affected(gets changed) by change in other variable.
Example : your age
value of your age will not change in other factor like how much you run, sleep etc.
A dependent variable is one which cannot stand alone. Its values gets affected(gets changed) by change in other variable.
Example : weight: weight of human is dependent on food you eat and hence more you eat more is the chance of weight being increased.
hence, weight is dependent variable.
_______________________________________________________
Given
A car uses a gallon of gas for every 45 miles driven.
thus, there are two variable, which as identified is
miles and gallons
given that
in 1 gallon , car gets driven 45 miles
so if there are n gallons car will get driven 45*2 = 90 miles
in there are n gallons, car will get driven 45*n= 45n miles
hence , miles is dependent on no of gallons hence
miles is dependent variable.
thus, we see there is relationship between miles and gallon as
miles = 45n, where n is the no of gallons
here no of gallons is independent variable as its value can stand alone, its value does not change with miles.
hence
gallons is independent variable.
thus,
correct choice is
O Dependent: miles; Independent: gallons
Simplify -3(x + 3) + 4x
Answer: x2 + 34x - 13
Step-by-step explanation:
STEP
1
Trying to factor by splitting the middle term
1.1 Factoring x2+34x-13
The first term is, x2 its coefficient is 1 .
The middle term is, +34x its coefficient is 34 .
The last term, "the constant", is -13
Step-1 : Multiply the coefficient of the first term by the constant 1 • -13 = -13
Step-2 : Find two factors of -13 whose sum equals the coefficient of the middle term, which is 34 .
-13 + 1 = -12
-1 + 13 = 12
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
x2 + 34x - 13
What does X equal.
6x+2=10x-16
Answer:
4.5
Step-by-step explanation:
6x+2=10x-16
-6x -6x
2=4x-16
+16 +16
18=4x
18/4=x
Solve the inequality −5r + 6 ≤ −5r − 10.
Answer:
The answer is that there's no solution
Hope you find this helpful :)
6. Which of the following values are the zeroes of the expression 2x(x - 5)(x+7)?
(1) {-7,0,5)
(3) {-5, -2,7}
(2) {-7, -2,5)
(4) {-5,0,7}
Answer:
Step-by-step explanation:
To get the zeros of the expression 2x(x - 5)(x+7), we are going to equate the expression to zero and find the corresponding value of x as shown;
2x(x - 5)(x+7) = 0
2x = 0
x-5 = 0
x+7 = 0
From 2x = 0
x = 0/2
x = 0
From x-5 = 0
x = 0+5
x = 5
From the equation x+7 = 0
x = 0-7
x = -7
Hence the values of the zeros are {-7, 0, 5}
Please help pre algebra 8th grade
Answer:
28 degrees
Step-by-step explanation:
152 is the exact same measure as angle 2.
To get to 180 you have to add 152 + angle 1
Angle one is the same as angle 3.
180 - 152 = 28
Hope this helps
Add the following fractions 2/10 + 6/10
Answer:
8/10
Step-by-step explanation:
add the numerator but keep the denominators the same
you could also simplify to 4/5
Answer:
2/10 + 6/10
= 8/10
=4/5
Therefore the answer is 4/5
GIVING BRAINLIEST!!
POLY ≅ SIDE
A. List four pairs of congruent sides.
B. List four pairs of congruent angles
Answer:
ANGLES-
P=S
O=i
L=D
Y=E
SIDES-
PO=SI
OL=ID
LY=DE
YP=ES
Step-by-step explanation:
pretend the equal signs are congruency signs
Do you know the answer to this question????
Answer: the answer should be 95
Step-by-step explanation:
Find the cube root of 343a³b⁶
Answer:
[tex]7ab^{2}[/tex]
Step-by-step explanation:
You take the cube root of each piece of the term separately:
7 x 7 x 7 = 343, so the cube root of 343 = 7
a^3 = a x a x a, so the cube root of a^3 = a
b^6 = b x b x b x b x b x b = b^2 x b^2 x b^2, so the cube root of b^6 = b^2
The sum of two numbers is 342. One of the numbers is 252. What is the other number?
Answer:
90
Step-by-step explanation:
342-252=90
So, therefore, 252+90=342
Answer:
90
Step-by-step explanation:
Since the sum is 342 and we already know the first number is 252 we would take away 252 from 342 to get the amount of the second number.
(342-252=90)
We got 90 and to check we would add 252+90 which is =
(252+90=342)
The answer is 90
I hope this helped:)
80/36 as a mixed number
Answer:
yes because the one on top is larger than the number on the bottom
Answer:
2 2/9
Step-by-step explanation:
20/9 = 2 2/9
36 x 2 = 72
80 - 72 = 8/36
2 8/36 = 2 2/9
Blake knows that one of the solutions to x2 – 6x + 8 = 0 is x = 2. What is the other solution?
x = –6
x = –3
x = 4
x = 8
To make a batch of sky blue paint, Claire mixes 2 cups of blue paint. Explain how to make a mixture that is a darker shade of blue than sky blue.
evaluate the expression when a=-7 and c=6. a-6c
Answer:
-43
Step-by-step explanation:
(-7) - 6(6)= -43
What is an equation in slope intercept form of a line that passes through points (0,5) and (4,0)
Answer:
y = -5/4x + 5
Step-by-step explanation:
If you use rise/run it rises down 5 and runs to the right 4, therefore your slope is -5/4x and for your Y-intercept its 5 because (0,5) is already on the Y-axis, so your answer is y = -5/4x + 5
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\ m=\frac{0-5}{4-0} \\m=\frac{-5}{4} \\m=-\frac{5}{4}[/tex]
Therefore the slope is m = -5/4
Find the equation
Let [tex]y=mx+b[/tex] where m is slope and b is y-intercept.
Substitute m = -5/4 in the equation,
[tex]y=-\frac{5}{4}x+b[/tex]
Substitute any ordered pairs that are given. I'll use (4,0) instead.
Substitute y = 0 and x = 4
[tex]0=-\frac{5}{4}(4)+b\\ 0=-5+b\\5=b\\[/tex]
Thus, the y-intercept is 5 (b is 5)
Therefore, the equation is [tex]y=-\frac{5}{4}x+5[/tex] #
Bob, Sally, and Billy Bob Joe are sharing jelly beans. Bob started with 77 jelly beans, Sally started with 12 jelly beans, and Billy Bob Joe started with 19 jelly beans. Bob gave 45 jelly beans to Sally. Sally gave 29 jelly beans to Billy Bob Joe, and Billy Bob Joe ate 30 jelly beans. How many jelly beans does Billy Bob Joe have left?
Answer:
Billy Bob Joe now has 18 jelly beans left
Step-by-step explanation:
Bob initially has 77 jelly beans, Sally initially has 12 jelly beans and Billy Bob Joe initially has 19 jelly beans.
If Bob gives 45 jelly beans to Sally, Bob now has 77 - 45 = 32 jelly beans and Sally now has 12 + 45 = 57 jelly beans.
Sally now gives 29 jelly beans to Billy Bob Joe. Sally now has 57 - 29 = 28 jelly beans and Billy Bob Joe now has 19 + 29 = 48 jelly beans.
If Billy Bob Joe now eats 30 jelly beans, he now has 48 - 30 = 18 jelly beans.
So, after eating 30 jelly beans, Billy Bob Joe now has 18 jelly beans left.
Answer:
18
Step-by-step explanation:
5/7 + 3/7 simpliest form
Answer:
8 1/7
Step-by-step explanation:
Answer:
[tex]\frac{8}{7}[/tex]
Step-by-step explanation:
Write all numerators above the common denominator
[tex]\frac{5+3}{7}[/tex]
Add the numbers together (5+3)
[tex]\frac{8}{7}[/tex]
Alternative Form:
[tex]1\frac{1}{7}[/tex], 1.132857
Hope this helps! :)
how many people can he invite for 29.04?
Answer:
im gonna need more info
Step-by-step explanation:
Suppose m∠3 = 128 and m∠6 = (10x + 8). What value of x would result in a || b?
A. 8.2
B. 4.4
C. 17.2
D. 12.0
Answer:
x = 12
Step-by-step explanation:
The attached figure shows the measures of the angles. Here, line a is parallel to line b.
Given that,
m∠3 = 128 and m∠6 = (10x + 8)
We need to find the value of x.
Here,
[tex]\angle 3 =\angle 6[/tex] (alternate interior angles)
So,
[tex]10x+8=128\\\\10x=128-8\\\\10x=120\\\\x=12[/tex]
So, the value of x is 12. Hence, the correct option is (D).
Please help!!!! Find the Vertex
-2x^2 - 12x - 16
Answer: (-3,2)
Step-by-step explanation: When you graph this that’s what you get
On which surface is the student unable to apply enough force to overcome the force of friction
Rough surfaces
Ex=carpet
The student unable to apply enough force to overcome the force of friction on rough surfaces.
What is Force?
A force is an influence that can change the motion of an object.
Friction is the force resisting the relative motion of solid surfaces, fluid layers, and material elements sliding against each other.
We need to find the type of surface the student unable to apply enough force to overcome the force of friction.
A rough surface will have more friction because on the rough surface there will be more irregularities.
So rough surface is the student unable to apply enough force to overcome the force of friction.
Hence, the student unable to apply enough force to overcome the force of friction on rough surfaces.
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