Answer:
8
Step-by-step explanation:
3^2 = 9 - 1 = 8
limitation of -4 to the left of the absolute value of x+4 divided by x+4
I believe you're asking about the one-sided limit,
[tex]\displaystyle \lim_{x\to-4^-}\frac{|x+4|}{x+4}[/tex]
Recall the definition of absolute value:
• [tex]|x| = x[/tex] if [tex]x\ge0[/tex]
• [tex]|x| = -x[/tex] if [tex]x < 0[/tex]
Since we're approaching -4 from the left, we're effectively focusing on a domain of [tex]x<-4[/tex] or [tex]x+4<0[/tex]. So, by the definition above, we have [tex]|x+4| = -(x+4)[/tex]. Then in the limit, we have
[tex]\displaystyle \lim_{x\to-4^-}\frac{|x+4|}{x+4} = \lim_{x\to-4^-}\frac{-(x+4)}{x+4} = \lim_{x\to-4^-}(-1) = \boxed{-1}[/tex]
I need help with this, can u guys plz help?
Answer:
$400
Step-by-step explanation:
Each of the symbols ("barrels") are worth $200 each, and there are 2 "barrels" that in Figure A Save store. So, we have the following expression: [tex]200(2)=400[/tex].
I NEED HELP!!!! THIS ASSIGNMENT IS DUE IN 1 HOUR AND I JUST STARTED IT PLZZZZ HELP ME!!!
Answer:
[tex]y=\frac{10x-8}{7}[/tex]
or
y = (10x - 8) ÷ 7
Step-by-step explanation:
[tex]10x-7y=8\\-7y=8-10x\\7y=10x-8\\y=\frac{10x-8}{7}[/tex]
please help 15 points will give brainliest
Answer:
Step-by-step explanation:
m∠1 = 3 times of m∠2
m∠2 = (1/3) times of ∠1
[tex]= \dfrac{1}{3}*72\\\\= 24[/tex]
m∠2 = 24°
What is the measure of angle AOC? I need help pleaseeee
6. The sum of two integers is -38,458. If one of
them is - 75, 250, then find the other.
Answer:
36792
Step-by-step explanation:
To find the required integer, subtract the given integer from the sum, that is
- 38458 - ( - 75250)
= - 38458 + 75250
= 36792
Callie has completed 5/12 of a project for her English class. Express this value as a decimal. Then, state if the decimal is terminating or repeating.
Answer:
0.416..
The decimal is repeating 6's
A woodpecker pecked at a 17 m wooden pole until it cracked and the upper part fell with the top hitting the ground 10 m from the foot of the pole. Since the upper part had not completely broken off, the bird pecked away where the pole had cracked. How far was the bird above the ground?
Answer:
the woodpecker was 7m above the ground
The height where the bird pecked is 7m above the ground.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, A woodpecker pecked at a 17 m wooden pole until it cracked and the upper part fell with the top hitting the ground 10 m from the foot of the pole.
Therefore, If the length of the pole that fell down is 10m then the length of the remaining pole is,
= (17 - 10)m.
= 7m.
So, The bird pecked away where the pole had cracked is 7m.
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turn into an equation please:
A taxi driver charges $5 plus $2 per mile x to ride in his taxi. Find the total cost of a trip in his taxi, t(x)
Answer:
t(x) = 5 + 2x
Step-by-step explanation:
t(x) = 5 + 2x
Since the 5 is a constant, u just put the 5 there first. Then for every mile, 2 dollars therefore 2x
Answer:2x+5 x would be the number of miles driven
Step-by-step explanation:$305. Plug in 150 for x, and the equation is 2*150+5=x, x being your answer that you are looking for. Do the Order of Operations, which is PEMDAS (Parenthesis, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right.) So in other words, do 2*150 first, and you get 300. Now your equation is 300+5=x. Add 300+5, and you get 305=x. So your answer is $305.
Which expression is equivalent to 3x(bx+10−(x2−5x+c)
A
(3b−1)x2−5x+10+c
B
−x2+(3b+35)x−c
C
−3bx2+25x+c
D
(3b−1)x2+35x−c
Answer:
Step-by-step explanation:
PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE HELP DECIMAL WORD PROBLEM INTO EQUATION
Answer:
136 miles
Step-by-step explanation:
Write an equation to represent the cost of the rental, and then solve the equation to find the number of miles.
Let x = number of miles.
The total cost is the cost per mile plus the base fee.
1 mile costs $0.90
2 miles cost $0.90 * 2
x miles cost $0.90 * x, or simply 0.9x
The base fee is $16.95, so the total to rent for x miles is 0.9x + 16.95
The equation
c = 0.9x + 16.95
gives you the cost, c, for a rental of x miles.
We are told the total cost was $139.35. Replace c with 139.35, and solve for x, the number of miles.
139.35 = 0.9x + 16.95
Switch sides.
0.9x + 16.95 = 139.35
Subtract 16.95 from both sides.
0.9x = 122.4
Divide both sides by 0.9
x = 122.4/0.9
x = 136
Answer: 136 miles
Brent took out a 48-month loan for $16,000 to buy a car. The simple interest rate was 8%.
Answer:
61440
Step-by-step explanation:
S.I=P×R×T÷100
=16000×8×48÷100
=160×8×48
=61440
the braking distance of a vehicle is directly proportional to the square of its speed. when the speed of the vehicle is b m/s, it's breaking distance is d m. if the speed of the vehicle is increased by 200%. find the percentage increase in its breaking distance
Find the cost of 200 grams of flour at $6 per kilogram
Answer:
$1.2
Step-by-step explanation:
Convert gram to kilogram
200÷1000=0.2kg
0.2 × 6 =1.2
Help needed please ASAP!!
What is the graph of the linear inequality y≤−3x+4?
Answer:
It would look like the picture I attached at the bottom.
Step-by-step explanation:
We know that the slope is -3 and the y intercept is (0,4) (plugging in 0 for x will get you that point), and then you can just graph an equation like you normally would, using rise/run to go down 3 units for every one unit you go right, and plugging in easy x values to check your work.
It gets a little tricky because the question then adds the inequality, and we see that y is now less than or equal to the original equation.
Since it is less than, we can shade all the values below the graph.
(Also, you should probably note for future reference that if it was just less than, the shading would look the same while the graph itself would be dotted because the values on the line are nor included in the solution set).
Desmos is a great website to use if you're having trouble graphing in the future :)
how many is 8x8x8x8x8
The value of the expression "8 × 8 × 8 × 8 × 8" is 32,768, obtained by repeatedly multiplying 8 by itself five times.
The expression "8 × 8 × 8 × 8 × 8" represents the multiplication of the number "8" by itself 5-times. When you multiply 8 by 8, you get 64. Multiplying 64 by 8 gives you 512, and multiplying 512 by 8 yields 4,096. Finally, multiplying 4,096 by 8 results in 32,768.
Therefore, the required value of expression "8 × 8 × 8 × 8 × 8" is 32,768. This indicates that by repeatedly multiplying 8 by itself, a total of five times, we arrive at the final product of 32,768.
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The given question is incomplete, the complete question is
What is the value of the expression " 8 × 8 × 8 × 8 × 8"?
PLSSSSSSSSS HELPPPPPOPPPOP
Answer:
Step-by-step explanation:
Which of the following is a composite number?
A. 47
B. 91
C. 101
D. 131
Answer:
91
Step-by-step explanation:
What is the slope of the function, represented by the table of values below?
Answer: I think it’s C
Step-by-step explanation:
if 5t=5 then t is what number
Answer:
1
Step-by-step explanation:
5t = 5
divide equation by 5 to get rid of it
t = 1
This is because 5t means "5 times t". The t is a placeholder for a number.
To solve for t, we divide both sides by 5
5t = 5
5t/5 = 5/5
t = 1
Note how 5t = 5 becomes 5*1 = 5 after replacing t with 1. Because 5*1 = 5 is a true statement, this helps confirm we have the correct answer.
Tamika is three inches taller than Mackenzie. If Tamika is 65 years tall then how tall is Mackenzie? Set up and solve an equation to reach your answer.
Answer:
Mackenzie is 62 inches
Step-by-step explanation:
65 - 3 = Mackenzie’s height
65 - 3 = 62 inches
It took Sharon 4 hours to drive to her grandmother's house. Her grandmother lives 140 miles from Sharon.
What was Sharon's average speed for this trip?
A. 30 mph
B. 35 mph
C. 136 mph
D. 560 mph
Answer:
B
Average speed = total diatance covered
total time taken
= 140 miles
4 hours
= 35mph
Ms. Hawkins is taking her science classes on a field trip to a museum. She has $ 1,900 spend on the trip. The bus company will charge $ 175 for travel. The museum charges $6.50 for admission per student and $ 2.25 for lunch per student. Ms. Hawkins gets free admission and lunch. Let s represent the number of students that could go on the trip while Ms. Hawkins stays within her budget .
Write an inequality that models this situation.
Determine how many students Ms. Hawkins can bring with her on her field trip and stay in her budget.
The inequality is ;
175 + 6.50s + 2.25s ≤ 1900Number of students = 197Total amount to spend = $1900
Bus charge = $175
Admission fee per student = $6.50
Lunch fee per student = $2.25
Number of students = s
Writing out the total cost :
Bus charge + (admission fee × s) + (lunch fee × s) ≤ 1900
175 + 6.50s + 2.25s ≤ 1900
Using the equation defined, we can find s ;
175 + 6.50s + 2.25s ≤ 1900
Solve for s
8.75s ≤ 1900 - 175
8.75s ≤ 1725
s ≤ 1725 / 8.75
s ≤ 197.14
The number of students she can bring along is 197 and still stay within her budget.
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What is the square root of 9000?
use the benchmark 1/2 to compare 5/8 and 2/7
Answer:
Step-by-step explanation:
if you used a compound statement, it would look like this.
2/7 < 1/2 < 5/8
One half is bigger than 2/7. It is much closer to 1/4 than 1/2. 1/4 = 2/8 so 2/7 is just a little bit less than that.
On the other hand 1/2 is just smaller than 5/8. 1/2 = 4/8 so you can see that 1/2 is less than 5/8.
Ronaldo catches the bus at 4:00 PM to ride 3.2 miles from his house to the dentist office. He arrives at 4:30 PM, for a one hour appointment. Then he rides a bus traveling at the same rate of speed for 4.8 miles to the soccer field. Is he on time for his 6:30 PM soccer practice? PLEASE HELP!!
How would you classify the number -3 (NEGATIVE three) *
Natural Number, Whole Numer, Integer, Rational Number
Whole Number, Integer, Rational Number ONLY
Integer, Rational Number ONLY
Rational Number ONLY
PLEASE HELP 20 POINTS WILL GIVE BRAINLIEST
if 10x=43 what's X?................................
Answer:
4.3 is my best answer because 4.3x10=43
Step-by-step explanation:
Answer:
Step-by-step explanation:
43/10 first you subtract by 4 then you pull down a zero and your answer is 4.3
