Problem:
Mary was 12 (-12) feet below sea level, she sawm down another 5 feet (-5). How many feet below sea level is Mary?
(if needed) Answer: -17
The real-world problem in which two negative integers are subtracted is a person diving below the surface of a sea for 60 feet and 50 feet.
-60 - 50 = -110.
110 feet below the surface of the sea.
We have to write a real-world problem in which two negative integers are subtracted.
Let us consider that a person is at the surface of a sea before he dives deep.
The person started to dive below the surface and he was now 60 feet below the surface.
Again he started to dive deep to 50 feet below.
So the person is at how many feet below the surface: - 60 - 50 = -110 feet.
The person is 110 feet below the surface.
And -60 and -50 are the two negative integers subtracted.
Thus,
The real-world problem in which two negative integers are subtracted is a person diving below the surface of a sea for 60 feet and 50 feet.
-60 - 50 = -110.
110 feet below the surface of the sea.
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Mary used 1/2 of a can of paint to cover 1/8 of the outside of her house. How many cans of paint will Mary need to cover the entire outside of her house?
Answer:
4 cans of paint
Step-by-step explanation:
Half of a can = 1/8 of the outside of the house.
2 halves = whole can of paint
8/2=4
4 cans of paint
Given f (x) = 3x - 6 and g (x) = 2x²
1. Find: f (g (x))
2. Evaluate: f ( g ( -2))
PLEASE HELP ASAP!
Answer:
1. 6x^2-6
2. 18
Step-by-step explanation:
1. f(g(x))= 3(2x^2)-6= 6x^2-6
2. f(g(-2))= 3 (2(-2)^2)-6= 3(2(4))-6= 3(8)-6=24-6=18
The manager of a restaurant determined that the odds against a customer ordering dessert are 11/12 . What is the probability of a customer ordering dessert?
Answer:
1 out of 12
Step-by-step explanation:
12-11=1
Write the equation of a line in point Slope form that passes through the points (-8,-3) and (2,2)
Answer:
The midpoint of the points (2,8) and (0,4) is given by:
(
2
x
1
+x
2
,
2
y
1
+y
2
)=(
2
2+0
,
2
8+4
)=(
2
2
,
2
12
)=(1,6)
We must must transform the standard form equation −3x+6y=5 into a slope-intercept form equation (y=mx+b) to find its slope.
−3x+6y=5 (Subtract 3x on both sides.)
6y=3x+5 (Divide both sides by 6.)
y=
6
3
x+
6
5
y=
2
1
x+
6
5
The slope of our first line is equal to
2
1
. Perpendicular lines have negative reciprocal slopes, so if the slope of one is x, the slope of the other is
x
1
.
The negative reciprocal of
2
1
is equal to −2, therefore, −2 is the slope of our line.
Since the equation of line passing through the midpoint (1,6), therefore, substitute the given point in the equation y=−2x+b:
6=(−2×1)+b
6=−2+b
b=6+2=8
Substitute this value for b in the equation y=−2x+b:
y=−2x+8
Hence, the equation of the line is y=−2x+8.
Step-by-step explanation:
make me as brain liest
Melanie needs 5,000 chocolates for an event. So far, she has bought 2cases of 1,125 chocolates each. How many more does she need?
Answer:
2,750
Step-by-step explanation:
2x1,125=2,250, 5,000-2,250=2,750
Samia buys 15 1/2 yards of fabric to make shirts for his friends he needs 2 5/6 yards of fabric to make each shirt how many shirts can Sammy make
Answer: He can make 5 shirts
Step-by-step explanation:
15 1/2 ÷ 2 5/6 = 5 8/17
Which point best represents v10 ?
That would be Q my dude.
Hope this helps
How do you determine the absolute maximum and minimum values of a continuous function on a closed interval?
Answer:
Steps are detailed below.
Step-by-step explanation:
The steps to determine the absolute maximum and minimum values of a continuous function on a closed interval are;
For example, if we have a function f(x) = x³ - 3x + 2 on the interval (-3, 4)
The steps are;
Step 1:
We will find the first derivative of f(x) which is; f'(x) = 3x² - 3.
Then we will find the critical values of this derivative. The critical values are the values of x that makes f'(x) = 0. But these critical values must fall in between the given interval (-3, 4)
Step 2:
Plug in the critical values gotten in step 1 above into the original f(x) function and note down the answers.
Step 3;
Plug in the endpoint values on the interval (-3, 4) given in the question into the original f(x) function and note down the answers.
Step 4;
The highest and lowest values of f(x) gotten in steps 2 & 3 are the absolute maximum and absolute minimum values respectively of the continuous function f(x).
HELP ME !I don’t know exactly how to do this
Answer:
x + 5
Step-by-step explanation:
Since she works x hours babysitting and 5 hours tutoring the equation should be x + 5
I am so sorry if I am wrong!!
Find the quotient:
_________________
x - 4 ) x^3 + 2x^2 – 16x - 32
Step-by-step explanation:
x-4)x³+2x²-16x-32(x²+6x+8
x³-4x²
- +
____________
6x²-16x-32
6x²-24x
- +
_________
8x-32
8x-32
- +
_____
X X
______
Hence,
The quotient is x²+6x+8.
Help me three questions please really easy I promise answer
Answer:
1.y=-2x+7
2. no
3.yes
Step-by-step explanation:
Given the function h(x) = x2 – 7x + 8, determine the average rate of change of
the function over the interval 2 < x < 10.
The average rate of change of the function over the interval 2 < x < 10 is 5
How to determine the average rate?The function is given as:
h(x) = x^2 - 7x + 8
Calculate h(2) and h(10)
h(2) = 2^2 - 7 * 2 + 8
h(2) = -2
h(10) = 10^2 - 7 * 10 + 8
h(10) = 38
The average rate is then calculated as:
Rate = (h(10) - h(2))/(10 - 2)
This gives
Rate = (38 + 2)/(10 - 2)
Evaluate
Rate = 5
Hence, the average rate of change of the function over the interval 2 < x < 10 is 5
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is f(x)=5x^2+6x^3 a polynomial function
What is 715 divided by 25 and what is 514 divided by 28?
Plsss help I really need it for my HW
Answer:
715 divided by 25 is 28.6, while 514 divided by 28 is 18.35. Hope this helps!
Step-by-step explanation:
check whether (x+7) is a factor of (x^2 +4x - 24). Give reason
For w(x)=-2x+7, find the value of x which w(x)=-3
Answer:
x = 5
Step-by-step explanation:
-3 = -2x+7
-10 = -2x
5 =x
The value of x from the given function is 5.
The given function is w(x)=-2x+7..
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Now, put w(x)=-3 in the function and simplify.
That is, -3=-2x+7
⇒ 2x=7+3
⇒ 2x=10
⇒ x=5
Therefore, the value of x from the given function is 5.
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Imagining that she’s taking a summer job working at a local entertainment complex your hourly wage is six dollars you will work 40 hours per week and be paid every other week for a total of 16 weeks use the figure provided estimate your gross pay for the summer and each pay period
A system of equations is shown:
2x = -y + 6
--4x + 3y = 8
What is the solution to this system of equations?
0 (-1,-4)
O (1.4)
(4, 1)
(-4,-1)
[tex]\large\underline{\bf \red{Step \:by\: Step \:Explanation:}}[/tex]
Given two equations are :
2x = - y + 6.-4 x + 3y = 8 .We may write them as ,
2x + y - 6 = 0 .................(i) 4x - 3y + 8 = 0 ...............(ii)Multiplying equⁿ (i) by 2 :
⇒ 2(2x + y - 6 ) = 0.
⇒ 4x + 2y - 12 = 0 .....................(iii) .
Subtract equⁿ (ii) from equⁿ (iii) :-
⇒ 4x + 2y - 12 = 0
ㅤ- 4x + 3y - 8 = 0 [ Sign changes ]
__________________
⇒ 5y - 20 = 0.ㅤㅤㅤㅤㅤ
⇒ 5y = 20.
⇒ y = 20/5.
⇒ y = 4
Put this value in (i) to obtain x .
⇒ 2x + y - 6 = 0.
⇒ 2x +4 - 6 = 0.
⇒ 2x - 2 = 0.
⇒2x = 2 .
⇒ x = 2/2.
⇒ x = 1 .
Hence the value of x is 1 & y is 4.
[tex]\boxed{\purple{\bf\pink{\dag}\:Hence\:the\: correct\: option\:is\:[b]\:(1,4)}}[/tex]
diride 660cm in the ratio of 5:6
Answer:
Thus, the measure 660 cm is divided into 300 + 360 in the ratio of 5:6
Step-by-step explanation:
Equations
We are required to divide 660 cm in the ratio 5:6, or 5/6.
Let's call:
x = first part of 660
660 - x = second part of 660
The ratio between them is 5/6.
[tex]\displaystyle \frac{x}{660-x}=\frac{5}{6}[/tex]
The above equation will result in x as the smaller part of 660.
Multiply by (660-x)*6 to eliminate denominators:
[tex]\displaystyle (660-x)*6\cdot\frac{x}{660-x}=(660-x)*6\cdot\frac{5}{6}[/tex]
Operating:
[tex]6x=(660-x)*5[/tex]
[tex]6x=3300-5x[/tex]
Simplifying:
[tex]6x+5x=3300[/tex]
[tex]11x=3300[/tex]
Solving:
[tex]\displaystyle x=\frac{3300}{11}=300[/tex]
The other part is 660 - 300 = 360
Thus, the measure 660 cm is divided into 300 + 360 in the ratio of 5:6
Trevor is 8 1/2 inches shorter than his dad. If his dad is 6 1/4 feet tall. How tall is trevor?
Answer:
66.5 in or 5.5 ft (rounded)
Step-by-step explanation:
Answer:
5 ft 6 1/2 inches
Step-by-step explanation:
6 1/4 ft
1/4 ft is 3 inches
6 ft 3 inches
Subtract 8 1/2 inches
6 ft 3 inches
- 8 1/2 inches
------------------------------
borrow from the ft ( 1 ft = 12 inches)
5 ft 3+12 inches
- 8 1/2 inches
------------------------------
5 ft 15 inches
- 8 1/2 inches
------------------------------
5 ft 6 1/2 inches
Simplify the following expression.
5.3x − 8.14 + 3.6x + 9.8
A.
-2.84x − 1.66
B.
8.9x + 17.94
C.
-2.84x + 17.94
D.
8.9x + 1.66
Answer:
D
Step-by-step explanation:
5.3x − 8.14 + 3.6x + 9.8
group the numbers on one side and the x's on the other
5.3x + 3.6x - 8.14 + 9.8
solve
8.9x + 1.66
You and your friends decide to play video games online together on Saturday. One particular game charges a one-time fee of $10 to download and $3.50 per hour of play.
1) Write an equation to represent this situation.
2) How much will it cost you to play the game for 5 hours? Show your work.
Answer:
Step-by-step explanation:
1. Let's see. One time $10 and $3.50 per hour. So $10+$3.50x(where x represents number of hours)
2. Put in the value of x(substitute it).
$10+$3.50x
$10+$3.50(5)
$10+$17.50
Answer-$27.50
Hope it helps!
The sum of two numbers is 49 and the difference between these two numbers is 9.
What are these two numbers?
Answer:
the answer is 39 and 14.
The solution is, the numbers are 20 and 29.
What is Subtraction?Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.
Here, we have,
given that,
The sum of two numbers is 49
and the difference between these two numbers is 9.
let, the numbers are x & y
so, we get,
according to question:
x+y = 49 ...1
x-y = 9 ....2
so, simplifying we get,
2x = 58
or, x = 29
so, we get,
y = 20
Hence, The solution is, the numbers are 20 and 29.
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how do i find the values for mean and standard deviation
Answer:
1/ Mean: find the average of the numbers by add up all the numbers then divide by how many numbers there are.
2/ Standard Deviation: First, for each number: subtract the Mean and square the result. Then work out the mean of those squared differences. Take the square root of that and we are done!
x+ y2 + 16x– 14y + 49 = 0
What is the center of this circle ?
What is the radius of this circle ?
Answer: center: (-8,7)
radius: 8
Step-by-step explanation:
Simplify powers of i.
ASSIGNMENT
Simplify each of the following powers of i.
I^32
Answer:
i^15=-i
i^32=1
1^99=-i
i^22=-1
hope this helps :)
im sorry for the late answer, i put all the answers incase some one needs them, have a nice day!
Step-by-step explanation:
Answer: The answer is "1".
Step-by-step explanation:
Correct on edgen.
Need help ASAP with my math
Answer: The answer is -2
Step-by-step explanation: I want points and trust me this answer is correct
Which correctly solves the equation ab+c=d solve for b.
Answer:
b=(d-c)/a
Step-by-step explanation:
Just gotta switch them around a bit
1.a) Convert 81° into grade.
10
Step-by-step explanation:
I hope it helps man this much .
what is th nth term of 4 1 -2 -5 -8
Answer:
-3
Step-by-step explanation:
Answer:
here:- a=4; d:- (1-4)=(-2-1)=>-3
so, nth term= a+(n-1)d
=> 4+(n-1)-3=>4-3n+3=>7-3n
Step-by-step explanation:
nth term=(7-3n)