Answer:
Luther collected 7.75 pounds of newspaper
Step-by-step explanation:
2 times 3.875
7.75
unit 1 test algebra 2
6) The solution set of the equation x² + 8x - 15 = 5x + 13 is {-7, 4}.
7) The zeroes of the expression 2x (x - 5) (x + 7) are {-7, 0, 5}.
8) The expression (x + 5) (x + 8) + (x + 5)(2x - 3) can be written as a product of (x + 5) and (3x + 5).
9) There are 2 integer solutions on the interval 0 ≤ x ≤ 10 for the equation x³ - 5x² + 2x + 13 = 5.
We have,
6)
x² + 8x - 15 = 5x + 13
Rearranging the equation:
x² + 8x - 5x - 15 - 13 = 0
x² + 3x - 28 = 0
Now, factorize the quadratic equation:
(x + 7)(x - 4) = 0
Setting each factor equal to zero:
x + 7 = 0 or x - 4 = 0
Solving for x:
x = -7 or x = 4
7)
2x (x - 5) (x + 7) = 0
Setting each factor equal to zero:
2x = 0 or x - 5 = 0 or x + 7 = 0
Solving for x:
x = 0 or x = 5 or x = -7
8)
(x + 5) (x + 8 + 2x - 3)
Simplifying the expression inside the parentheses:
(x + 5) (3x + 5)
9)
x³ - 5x² + 2x + 13 = 5
Substitute each integer value from 0 to 10 into the equation and count the number of solutions.
Substituting each integer value,
x = 0,
x³ - 5x² + 2x + 13 = 5
0 - 0 + 0 + 13 = 5
13 = 5
Not true.
Similarly,
x = 2,
x³ - 5x² + 2x + 13 = 5
8 - 20 + 4 + 13 = 5
25 - 20 = 5
5 = 5
True.
x = 4,
x³ - 5x² + 2x + 13 = 5
64 - 80 + 8 + 13 = 5
85 - 80 = 5
5 = 5
True.
There are two integer solutions:
x = 2 and x = 4.
Therefore,
The solution set of the equation x² + 8x - 15 = 5x + 13 is {-7, 4}.
The zeroes of the expression 2x (x - 5) (x + 7) are {-7, 0, 5}.
The expression (x + 5) (x + 8) + (x + 5)(2x - 3) can be written as a product of (x + 5) and (3x + 5).
There are 2 integer solutions on the interval 0 ≤ x ≤ 10 for the equation x³ - 5x² + 2x + 13 = 5.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ4
Which fraction is equal to the decimal 0.137?
Answer:
137/1000
Step-by-step explanation:
Answer:
137/1000 also 13.7 percent
Step-by-step explanation:
tan y+cot y= sec y x csc y
prove the identity
(y is the variable)
Answer:
Step-by-step explanation:
tany+coty =
[tex]\frac{siny}{cosy} + \frac{cosy}{siny}[/tex]·
[tex]\frac{sin^{2}y + cos^{2}y }{cosysiny}[/tex]
[tex]\frac{1}{cosysiny}[/tex]
[tex](secy) (cscy)[/tex]
THIS IS FOR 60PTS SO ANSWER Explain how you got your answer 4x-20+2x-12=10
Answer:
x = 0.333...(repeating or .34 if u round)
Step-by-step explanation:
add 4x and 2x= 6x
20- 12 = 8
6x + 8 = 10
-8 -8
6x = 2
6 6
x = 0.333...(repeating or .34 if u round)
. Consider the following standards.
MAFS.912.F-BF.1.1b: Combine standard function types using arithmetic operation. For example, build a function that models the temperature of a cooling body by adding a constant function to a decaying exponential, and relate these functions to the model. MAFS.912.F-BF.1.1c: Compose functions. For example, if T(y) is the temperature in the atmosphere as a function of height, and h(t) is the height of a weather balloon as a function of time, then T(h(t)) is the temperature at the location of the weather balloon as a function of time.
Part A: Describe the difference in combining functions and composing functions.
Part B: Give a real-world example of combining functions.
Part C: Give a real-world example of composing functions.
Part A:
A combined function is defined by combining with existing functions using addition, subtraction, multiplication or division.
A composite function is created by plugging one function into another.
Part B:
The class is selling sweaters an. the cost of each sweater is 8 dollars. There is a fee to create the design. The class plans to sell the sweaters for 12 dollars.
Part C:
Amy works at a baked goods store. She receivers a weekly salary of 350 dollars and is payed 3 percent commission on weekly sales over 1,500 dollars.
oof that took a while lol
3 - (2x - 5) < -4 (x+2) can someone please help me get the answer i dont know how to get it
Answer:
x < -8
Step-by-step explanation:
3 - (2x - 5) < -4 (x+2)
distribute
3 - 2x + 5 < -4x - 8
add the numbers
8 - 2x < -4x - 8
move the x
2x < -16
divide
x < -8
what is the solution to this problem? 2x+3(x-10)=45
Answer:
x= 15
Step-by-step explanation:
2x+3(x-10)=45
2x+3x-30=45
Combine like terms:
2x+3x-30 turns into 5x-30= 45
5x-30=45
+30 +30
5x = 75
x = 15
Answer:
x = 15
Step-by-step explanation:
2x+3(x-10)=45
2x+3x-30 =45
5x-30 =45
5x =45+30
5x =75
x =75/5
x =15
The answer choices are
A) <3 and <10
B) <2 and < 10
C) <3 and <7
D) <2 and <8
I really need the help?
Answer:
a=c because opposite vertices are always equal to one another
Step-by-step explanation:
Find the slope of the line that passes through (-3,4) and (-2,-8)
Answer:
-12
Step-by-step explanation:
The slope formula is y2-y1 divided by x2-x1
I plugged it in and got
-12
I hope this helps :>What is the area of the base of the cone below? Round the number to the nearest tenth if necessary.
A. 14.7 in (2)
B. 17.3 in (2)
C. 18.5 in (2)
D.19.5 in(2)
Answer:
19.5
Step-by-step explanation:
Julio pald 1.2 times his normal hourly rate for each hour he works over 30 hours a week Last week he worked 43 hours and earned $574.56
Answer:
482.70
Step-by-step explanation:
First, find out how much he earned per hour last week. 576.56 divided by 43 is 13.41.
Second, multiply his hourly earnings by 1.2, 1.2*13.41=16.09 So he earns 16.09 per hour
Lastly, multiply 16.09 by 30, 16.09*30=482.7 So he earns about $482.70 each week.
1
Which of the following represents a
fraction that converts to a repeating
decimal with a value less than one?
A) 1/2
B) 4/3
C) 9/10
D) 479
Answer:
479
Step-by-step explanation:
Which are equivalent equations? Select two correct answers.
d1 = 2Ad2
d1 = d 1 equals StartFraction 2 A Over d 2 EndFraction.
d2 = d 2 equals StartFraction d 1 Over d2 A EndFraction.
d2 = d 2 equals StartFraction 2 A Over d 1 EndFraction.
d2 = 2Ad1
Answer:
B and D if not sorry
Step-by-step explanation:
Answer:
b and d
Step-by-step explanation:
Identify the constant of proportionality from the graph.
11
10
9
8
7
6
5
4
3
2
1
1 2 3 4 5 6 7 8 9 10 11
O A. 3
B. 6
O D. 9
Answer:
D
Step-by-step explanation:
9 is the constant of proportionality
Have a great day
please help me thanks .
Answer:
3 and 3/4
Step-by-step explanation:
Answer:
121.5 :) hope this helped
simplify each of the following (5x+4y)(5x-4y) solve
Simplified :(5x+4y)(5x−4y)
=(5x+4y)(5x+−4y)
=(5x)(5x)+(5x)(−4y)+(4y)(5x)+(4y)(−4y)
=25x2−20xy+20xy−16y2
=25x2−16y2
hope this helps!
Answer:
25x^2-16y^2
Combine the opposite terms in 5x(5x)+5x(4y)-4y(4y)
5x(5x)-4y(4y)
25x^2-16y^2
[{(-72)÷(-2)}2-(-7)]x(-10)
Answer:
-790
Step-by-step explanation:
Answer:
-5040
Step-by-step explanation:
Start inside out.
1) -72/-2=36 now this is still inside the braces so you have to multiply times 2
2)36*2= 72 and now remember that negative times negative is positive
3)72*7=504
multiplies times -10= -5040
You can also think about this another way
(-72/-2)(2) the two's go away and you stay with -72/-1, wich is equal to 72 and then multiply that by 7 and them times -10.
Find the value of x.
Answer:
x=95°
Step-by-step explanation:
Please help me and make sure to round the answers to the nearest hundred. I’ll give you brainiest!
Answer:
add 2 zeros at the end of all of them
Step-by-step explanation:
I'M GIVING BRAINLIEST
I just need help with the equation, you don't have to solve it
Answer:
OOF
Step-by-step explanation:
Answer: i don't actually know, sorry but i need to get my points so i'm typing this.
Step-by-step explanation: none
Tara has two bags of marbles. The first bag contains 6 red marbles, 5 blue marbles, and 4 green marbles. The second bag contains 3 red marbles, 2 blue marbles, and 4 green marbles. Tara will randomly select 1 marble from each bag.
What is the probability that Tara will select a blue marble from each bag?
Answer:
The first bag, 1 in 3 and the second, 2 in 9.
Step-by-step explanation:
If there are 15 total marbles in the first bag, and 5 blue, there is a 5 in 15 chance, or 1 out of 3 chance she could pull a blue out of the first bag. The second bag, has 9 in total and 2 blue, so there is a 2 in 9 chance she could pull out a blue from the second bag. Hope this helps!
Answer:
2/27
Step-by-step explanation:2/27
Dana is making a seating chart for an awards banquet. There are 152 people coming to the banquet.
If 8 guests can be seated at each table, how many tables will be needed for seating for the awards
banquet?
tables will be needed.
Answer:
19
Step-by-step explanation:
152/8
I need help with this question ASAP
Noah says that to find 20% of a number he divides the number by 5. For example, 20% of 60 is 12, because 60÷5=12. Does Noah’s method always work? Explain why or why not.
Answer:
yes
Step-by-step explanation:
because if you divide what you said its will have a sum
Dissolution of 2Y +9 equals four is
Answer:
11
Step-by-step explanation:
8а +а – 3 = 6а – 2а - 3
Answer:
a=0
Step-by-step explanation:
Answer: a=0
Step-by-step explanation:
8a+a−3=6a−2a−3
Step 1: Simplify both sides of the equation.
8a+a−3=6a−2a−3
8a+a+−3=6a+−2a+−3
(8a+a)+(−3)=(6a+−2a)+(−3)(Combine Like Terms)
9a+−3=4a+−3
9a−3=4a−3
Step 2: Subtract 4a from both sides.
9a−3−4a=4a−3−4a
5a−3=−3
Step 3: Add 3 to both sides.
5a−3+3=−3+3
5a=0
Step 4: Divide both sides by 5.
5a /5= 0/5
Answer: a=0
(hope that was helpful )
this is pretty easy
two step equation!!
Answer:
Step 1: Simplify both sides of the equation.
z
3
−8=−4
1
3
z+−8=−4
1
3
z−8=−4
Step 2: Add 8 to both sides.
1
3
z−8+8=−4+8
1
3
z=4
Step 3: Multiply both sides by 3.
3*(
1
3
z)=(3)*(4)
z=12
Answer:
z=12
Step-by-step explanation:
13. Jonas is riding his bicycle at 18 kilometers per hour, and he has already ridden for 40 kilometers. (6, 148)
Answer:
Step-by-step explanation:
40 / 18
= 2.22 hours
0x + 8 = 5x - 3 What is X?
Answer:
x= 11/5 OR 2.2
Step-by-step explanation:
Answer: x= 2.2
Step-by-step explanation:
0x+8=5x-3
+3 +3
0x+11=5x
5 5 5
x=2.2
