Answer:
Learning to subtract rational numbers by adding the additive inverse can be explained to your child as being the same as finding the opposite. This can even be described to your child as being a similar concept to one that they have worked with in the past where subtraction is the opposite of addition.
Additive inverse can be defined as adding a number with the opposite or the negative of that number to equal zero. The additive inverse of 1 is (-1), the additive inverse of 2 is (-2) and so on.
Example: 5 + (-5) = 0
In this example, (-5) is the additive inverse.
You can then take additive inverse one step when finding the additive inverse when subtracting rational numbers.
Example: 7 - 4 = 7 + (-4)
3 = 3
When finding the inverse, it is important to keep in mind that what you do to one side, you must do the opposite to another. In the example above, because you subtracted a positive four on one side, you are going to add a negative four to the other. This will make the equation equal on both sides.
Step-by-step explanation:
Yes subtracting a number is the same as adding its inverse. We have to find the additive inverse of a function like [tex]\sqrt{x} +\sqrt{y}[/tex] .
What is additive inverse?The additive inverse of a number is the number which when we add to the number results zero.
How to find additive inverse?Suppose we have to find additive inverse of 5. Let the additive inverse of 5 be x. So,
5+x=0
x=-5
So the additive inverse of 5 is -5.
Hence to find additive inverse of a positive number we have to just put a negative mark and for a negative number we have put positive mark in front of the number.
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Find the area under the standard normal curve to the left of z = 1.5
Answer:
0.9332
Step-by-step explanation:
Using the normal distribution, it is found that the area under the standard normal curve to the left of z = 1.5 is of 0.9332.
-----------------------------------------
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X, which also represents the area under the normal curve to the left of Z.Looking at the standard normal table:
z = 1.5 has a p-value of 0.9332.Thus, the area under the standard normal curve to the left of z = 1.5 is of 0.9332.
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Algebra 1 help please
3x-9≤12
3x≤21
x≤7
-5x+10≤20
-5x≤10
x≥-2
Answer:
X = 4
Step-by-step explanation:
First, You need to rewrite the expression to look like this
9 - 3x = 12
An inequality basically means equals and the next step is to subtract 9 from both sides so it would look like this
3x = 12
Then divide both sides by 3 to get
x = 4
The expression P(4, 3) is equal to:
-3!
-4!
- 1
Answer:
[tex]P(4,3) = 4![/tex]
Step-by-step explanation:
Given
P(4,3)
Required
Solve
Using permutation formula;
[tex]P(n,r) = \frac{n!}{(n-r)!}[/tex]
This implies that
[tex]P(4,3) = \frac{4!}{(4-3)!}[/tex]
[tex]P(4,3) = \frac{4!}{(1)!}[/tex]
[tex]P(4,3) = \frac{4!}{1!}[/tex]
[tex]P(4,3) = \frac{4!}{1}[/tex]
[tex]P(4,3) = 4![/tex]
Answer:
The answer is 4!
Step-by-step explanation:
I just got this question right
Consider the function ƒ(x) = 5(x + 2)2 – 3. Which of the following functions shifts the graph of ƒ(x) upward by 4 units?
Question 17 options:
A)
ƒ(x) = 5(x + 6)2 – 3
B)
ƒ(x) = 5(x + 2)2 + 1
C)
ƒ(x) = 5(x + 2)2 – 7
D)
ƒ(x) = 5(x – 2)2 – 3
Answer:
The correct answer is letter B.
Step-by-step explanation:
In order to shift any function f(x) in the vertical direction we need to add or subtract the constant number we want to move. In this case we want to shift the function up by 4 units, therefore we need to add 4. The new function, g(x), is shown below.
[tex]f(x) = 5*(x + 2)^2 - 3[/tex]
[tex]g(x) = f(x) + 4\\g(x) = 5*(x+2)^2 - 3 + 4\\g(x) = 5*(x + 2)^2 + 1[/tex]
The correct answer is letter B.
Answer:
D
Step-by-step explanation:
ƒ(x) = 5(x – 2)^2 – 3
Complete the square to rewrite y= x2 - 6x + 2 in vertex form. Then state
whether the vertex is a maximum or a minimum and give its coordinates.
Answer:
see explanation
Step-by-step explanation:
Given
y = x² - 6x + 2
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 6x
y = x² + 2(- 3)x + 9 - 9 + 2
= (x - 3)² - 7 ← in vertex form
with vertex = (3, - 7 ) and a = 1
Since a > 0 then vertex is a minimum
Answer:
The vertex is a minimum.
What is the circumference of the circle shown below? (Round your answer to
the nearest tenth.)
A. 93.0
B. 121.2
C. 46.5
D. 76.8
Answer:
C. 46.5
Step-by-step explanation:
The formula for circumfrence is:
C= 2*pi*r
You know that the radius is 7.4 so all you need to do is plug it into the formula and you should get approximately 46.49 or 46.5.
The Quadratic Formula x =
-btvb2 - 4ac
2a
was used to solve the equation 2x + 10x - 6 = 0. Fill in the missing denominator of the solution.
-5+ 37
Answer:
2
Step-by-step explanation:
I think the answer is 2, because 2a=4, but when simplified, you can divide both the numerator and denominator by 2, making the denominator 4/2= 2.
The missing denominator of the solution is 2.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We have,
2x² + 10x -6 = 0
Now, using Discriminant Method
x = [ -b ± √ (b² -4ac)] / 2a
Here, a= 2, b= 10 and c=-6
So, x = [ -10 ± √(10² - 4(2)(-6)] / 2(2)
x = [ -10 ± √ 100 + 48]/ 4
x = (-10 ± 2√37)/ 4
x = (-5 ± √37)/2
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describe the rule of continuing this sequence 44, 41, 38, 35, 32
Answer:
aₙ= 47 -3n
Step-by-step explanation:
44, 41, 38, 35, 32
This is AP with 1st term of 44 and common difference of -3
nth term of this AP:
aₙ= a₁+(n-1)d= 44+(n-1)*(-3)= 44 - 3n+3= 47-3naₙ= 47 -3nsuppose that all of the points on the circular dartboard shown are equally likely to be hit by a dart. If the radius of the shaded center circle is 2 and the radius of the entire dartboard is 4, what is the probability of throwing a dart and hitting the white part of the board? Round your answer to the nearest whole number. 16 POINTS ITS ALL I GOT PLEASE HELP ME
Answer:
not worth it
Step-by-step explanation:
A survey of students' pets were taken. If [tex]\frac{1}{4}[/tex] of the students had a dog only, 20% had a cat only, 15% had multiple pets, and 0.08 had pets other than cats or dogs. What fraction of the students did not have a pet? PLS SHOW WORK!
Answer:
32% of the students did not have a pet.
Step-by-step explanation:
From the total students (100%):
1/4 of them had a dog only, [tex]\frac{1}{4}=0.25=25\%[/tex]. Then, 25% had a dog only.20% only had a cat.15% had multiple pets.0.08=8% only had other than cats or dogs.Adding up all these cases, we obtain the proportion of students that had at least one pet: [tex]25\%+20\%+15\%+8\%=68\%[/tex]. Then, 68% of the students did have a pet.The rest of the students [tex]100\%-68\%=32\%[/tex], did not have any pet.A crew of highway workers paved 15 mile in 18 hour. If they work at the same rate, how much will they pave in one hour?
Answer:
5/6 miles
Step-by-step explanation:
If they can pave 15 miles in 18 hours, they will pave and 18 of the miles in an 18 of the time, as 1/18 is an eighteenth. This means they will pave 15/18 miles, which simplifies to 5/6 miles.
PLEASE HELP! The time it takes to drive from Orangeville to the Vaughan Mills Mall is normally distributed with a mean of 52 minutes and standard deviation of 5 minutes. What intervals could you estimate, using the knowledge from this activity that do not include the mean as a max or min? For example, is an interval we could estimate? However, it includes the mean as the maximum of the interval. Another example is as an example of a probability interval that we know from this activity, but it includes the mean as the minimum.
Answer:
P(X≤57) = 84%
P(X≥57) = 16%
P(47≤X≤57) = 68%
P(X≤47) = 16%
P(X≥47) = 84%
Step-by-step explanation:
We know P(X≤52) = 50%, but this includes the mean as a maximum.
We know P(52≤X≤57) = 34%, but this includes the mean as a minimum.
But if we combine them, we get P(X≤57) = 84%.
We could also say P(X≥57) = 16%.
Since normal distributions are symmetrical, we can also show that P(47≤X≤52) = 34%. So P(47≤X≤57) = 68%, P(X≤47) = 16%, and P(X≥47) = 84%.
I think it's 65° is it correct??
Answer:
129
Step-by-step explanation:
DCF = DCE + ECF
= 75+ 54
= 129
Answer:
m∠DCF = 129°
Step-by-step explanation:
∠DCF is ∠DCE + ∠ECF
You are adding the 2 smaller angles together to get the larger angle.
Suppose A and B are 2 x 5 matrices. Which of the following are the dimensions of the matrix A + B? 2 x 5 10 x 10 7 x 7 7 x 1
Answer:
2 x 5
Step-by-step explanation:
When we add matrices, the dimensions of the matrices being added must be the same
A and B are 2 x 5 matrices so they are both 2 x 5 matrices
The output or the sum is also a 2 x 5 matrix
GIVING BRAINLIEST what is 97 - 56 + 12
Answer:
53
Step-by-step explanation:
When subtracting 97-56=41+12=53. The answer is 53. Consider using a calculator or mental math next time rather than asking it as a question.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
Answer:
53
Step-by-step explanation:
97-56=41
41+12=53
Find the 7th term in the
sequence
-5, -1, -5, -25,...
Hint: Write a formula to help you.
1st term · Common Ratio(desired term – 1)
Enter
Answer:
Step-by-step explanation:
Given sequence is -5, -1, -5, -25,..
In any arithmetic series nth term is given by a + (n-1)d
where a is the first term
and d is the common difference.
d = nth term - (n-1)th term
For the given series
a = -5
lets take nth term as 2nd term and 1st term as (n-1)th term
d = -1-(-5)= -1+5 = 84
n th term = a + (n-1)d
using the formula for nth term
4th term = 5 + (4-1)8 = 29
e of the space shuttle’s external tanks can carry up to 200,000 gallons of fuel. It used 170,000 liters of fuel this tank to leave the atmosphere. What percentage of the fuel capacity does the shuttle still have?
Answer:
15%
Step-by-step explanation:
200,000-170,000=30,000
30,000/200,000=0.15, or 15%
What additional information is needed to prove PMO is congruent to PNO by the HL Theorem?
Answer:
none
Step-by-step explanation:
so we have one of the legs
we have hypotenuse
because:
MP=PN for legs
and they have hypotenuse in common:
OP=OP
Calculate the original price of these items before the
percentage changes shown. Show all of your working.
a) A coat that costs £46.50
after a 7% price reduction
b) A jumper that costs £32.80 after a price increase of
6%
Answer:
50 and 30.94
Step-by-step explanation:
aThe coat cost 46.5 pounds after a 7 percent reduction
so we can write:
46.5⇒ (100-7)⇒ 93 percent x(the initial price) ⇒ 100 percentusing the proprtionality relation:
x= (100*46.5)/93 = 50
so the initial price of the coat is 50 pounds
bThe jumper costs 32.8 pounds after an increase of 6 percent
so:
32.8⇒(100+6)⇒ 106 percent x (the initial price)⇒ 100 percentusing proportionality:
x= (100*32.8)/106 = 30.94
the initial price is 30.94 pounds
Answer:
a. £50
b. £30.94
Step-by-step explanation:
100-7=93
x×93/100=46.50
x×93=46.50×100=4650
x=4650/93=50 £
b.
100+6=106
y×106/100=32.80
y×100=32.80×100=3280
y=3280/106≈30.94£
Juan is going to take a flight from Orlando, Florida, to Los Angeles, California.
The flight leaves Orlando at 9:15 a.m. Orlando time and arrives in Los Angeles
at 1:20 p.m.Los Angeles time. If Orlando is in the eastern time zone and Los
Angeles is in the Pacific time zone, how long is the flight? Use the following to
help you answer the question 12:00 p.m. eastern time = 11:00 a.m. central
time = 10:00 a.m. mountain time = 9:00 a.m. Pacific time.
A. 7 h 05 min
B. 5 h 15 min
C. 3 h 15 min
D. 4 h 15 min
Answer:
The correct option is A:
A) Time of flight = 7 hours 5 minutes
Step-by-step explanation:
If
For eastern time zone, t = 12:00 pm
Then, pacific time zone , t = 9:00 am
Which means the pacific time lags 3 hours to eastern time
Time of departure = 9:15 am (eastern time)
TIme of arrival = 1:20 pm (pacific time)
Either convert both of them into eastarn time zone or pacific time zone to find the time of the flight. The answer for both will be the same.
Converting both in pacific time zone.
Time of arrival = 1:20 pm (pacific time)
Time of departure = (9:15 am (eastern time) - 3 hours) (pacific time)
Time of departure = 6:15am (pacific time)
Time of flight = Time of arrival - Time of departure
Time of flight = 1:20pm - 6:15am
Time of flight = 7 hours 5 minutes
Can someone help me solve one of these?
Answer:
see below
Step-by-step explanation:
When the letters are replaced and mixed between draws, the draws are independent. In that case, the probability of a sequence is the product of the probabilities of the individual letters in the sequence.
The individual probabilities are ...
D - 1/4
E - 2/4
R - 1/4
__
So, the probability for a sequence like DD is ...
p(D)·p(D) = (1/4)(1/4) = 1/16
Of course, to convert to a percentage, multiply by 100%:
1/16 × 100% = 6.25%
The attachment shows the rest of them.
Given that the triangles shown below are similar, what is the value of X?
Answer:
24
Step-by-step explanation:
Each side from triangle AHM to triangle DPL is divided by 2
32/2 = 16
40/2 = 20
Therefore, 48 / 2 = 24
Answer:
x = 24 (Answer B)
Step-by-step explanation:
Notice that the side lengths of the first (larger) triangle are twice (2x) the corresponding sides of the second (smaller) triangle.
Thus the length of x is half of the corresponding side in the larger triangle, that is: x = half of 48, or x = 24 (Answer B)
Which point is an x intercept of the quadratic function f(x)=(x+6)(x-3)
Answer:
(-6, 0) and (3, 0).
Step-by-step explanation:
There are actually 2 x-intercepts. You will get the x-intercept when f(x) = 0.
f(x) will equal 0 when either (x + 6) = 0 or (x - 3) = 0.
x + 6 = 0
x = -6
x - 3 = 0
x = 3
So, your two x-intercepts will be at (-6, 0) and (3, 0).
Hope this helps!
Drag steps in the given order to evaluate this expression. −3(−3+2)−6
Answer:
See Explanation Below
Step-by-step explanation:
Given
[tex]-3(-3 + 2) - 6[/tex]
Required
Drag the steps
Note that not all steps in the given diagram will be used;
Step 1: Perform Multiplication; 9 + -6 - 6
Step 2: Simplify: -3
Further Explanation:
Step 1 is gotten by opening the bracket;
[tex]-3(-3 + 2) - 6[/tex]
[tex]9 +-6 - 6[/tex]
Step 2 is gotten by solving step 1 further
[tex]9 +-6 - 6[/tex]
[tex]9 - 6 - 6[/tex]
[tex]9 - 12[/tex]
[tex]-3[/tex]
A washer and a dryer cost $708 combined. The washer costs $58 more than the dryer. What is the cost of the dryer?
Answer:
$325
Step-by-step explanation:
Let x be the price of the washer.
Let y be the price of the dryer.
x + y = 708
x = y + 58
Put x as y+58 in the first equation and solve for y.
y + 58 + y = 708
2y + 58 = 708
2y = 650
y = 650/2
y = 325
Put y as 325 in the second equation and solve for x.
x = 325 + 58
x = 383
The cost of the washer is $383.
The cost of the dryer is $325.
Answer:
Step-by-step explanation:
Cost of dryer = $ d
Cost of washer = d + 58
Total cost = $ 708
d + (d + 58) = 708
2d + 58 = 708
2d = 708 - 58
2d = 650
d = 650/2
d = 325
Cost of washer = 325 + 58 = $ 383
Cost of dryer = $ 325
HELP ME PLEASE 10 POINTS ON IT PLEASE HELP ASAP WITH EXPLANATION PLEASE
a) 382 mm
b) 505 mm
c) 3162 mm
d) 3103 mm
e) 5008400 mm
f) 9046850 mm
basically, there are 10mm in a cm, so you times by ten,
1000mm in a m so multiply by 1000
1000000mm in a km
What is the area of the parallelogram
Answer:
A = 300 cm^2
Step-by-step explanation:
The area of the parallelogram is
A = bh
A = 20 *15
A = 300 cm^2
What is EF? Please help me on this question.
Answer:
EF = 8
Step-by-step explanation:
FD is an angle bisector and divides the opposite side of the angle into segments that are proportional to the other 2 sides, that is
[tex]\frac{DE}{DG}[/tex] = [tex]\frac{EF}{FG}[/tex] , substitute values
[tex]\frac{24}{54}[/tex] = [tex]\frac{x}{x+10}[/tex] ( cross- multiply )
54x = 24(x + 10) ← distribute
54x = 24x + 240 ( subtract 24x from both sides )
30x = 240 ( divide both sides by 30 )
x = 8
Thus EF = x = 8
Help ASAP I need this one answered please please please
Answer:
Yes
Step-by-step explanation:
For 2 figures to be similar, the ratio of their corresponding must be the same, as well as their proportion. The simplification of their ratio gives us the scale factor of their corresponding sides. Also, their corresponding angles are congruent.
Looking at polygon LMNO and WXYZ, let's set the ratio of their corresponding side against each other to see if they would be equal to each other.
Thus, we have:
LM/XY = ON/WZ = MN/WZ = LO/ZY
35/10 = 35/10 = 63/18 = 63/18
It would give us a scale factor of 3.5
They are similar.
The answer is:
YES
LMNO ~ WXYZ
Scale factor = 3.5
SOLVE and CHECK the following word problem. (6 marks)
The length of a rectangle is 3 m greater than the width. The perimeter is 38 m. What
are the dimensions of the rectangle?
Answer:
x = 8
Step-by-step explanation:
Let us take the breadth as 'x'
breadth = x
length = 3 + x
perimeter = 38m
perimeter of a rectangle = 2 ( l + b )
= 2( x + x + 3 ) = 38
4x + 6 = 38
4x = 38-6
x = 32/4
x = 8
breadth = 8
length = 11