Answer:
For any integer number n, the inverse additive of n is also an integer K such that:
n + K = 0
solving this for K, we get that:
K = -n
Then the inverse additive of n is -n.
Now that we know this let's complete this.
We know that for any two integers A and B, a minus b is equal to a plus the additive inverse of b.
To check this:
a minus b is written as:
a - b
And a plus the additive inverse of b is:
a + (-b)
because -b is the additive inverse of b.
Remember the rule sign:
(+)*(-) = -
Then we can rewrite:
a + (-b) = a - b
Then the statement is true.
"For any two integers a and b, a minus b is equal to a plus additive inverse of b is equal to a + (-b)"
The histogram represents the distributions of essay scores for high school sophomores and juniors in a contest. Which statements are true about the data used to create the histogram? Select three options.
Question options:
A. The mean is the best comparison of the measures of center.
B. The juniors tended to have higher essay scores than the sophomores.
C. The medians of both data sets are equal.
D. The interquartile range is the best comparison of the measure of variability.
E. A histogram is the best way to show that both distributions are nearly symmetric.
Answer:
B. The juniors tended to have higher essay scores than the sophomores.
C. The medians of both data sets are equal.
E. A histogram is the best way to show that both distributions are nearly symmetric.
Explanation:
A histogram is used to represent data in a bar graph like manner. In a histogram, the bars lie along the x axis, each within the range of intervals while the y axis is used to count the frequency of occurrence that determines the area of each bar in the graph. Using a histogram, we can find B, C, and E from the options given above.
solve the proportion x-4/6=x/8
The solution to the proportion is x = 16.
We have,
To solve the proportion (x - 4)/6 = x/8, cross-multiply and then solve for x.
Cross-multiplying gives:
8(x - 4) = 6x
Now, distribute the 8 on the left side:
8x - 32 = 6x
Next, isolate the x term by subtracting 6x from both sides:
8x - 6x - 32 = 6x - 6x
2x - 32 = 0
Finally, add 32 to both sides to solve for x:
2x - 32 + 32 = 0 + 32
2x = 32
Divide both sides by 2:
(2x)/2 = 32/2
x = 16
Therefore,
The solution to the proportion is x = 16.
Learn more about expressions here:
https://brainly.com/question/3118662
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If f(x) = 3x - 1 and g(x) = x + 2, find (f + g)(x).
O A. 2x-3
O B. 4x+1
ОС. 3х – 3
O D. 2x-1
Answer:
.➌×-➌
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
By definition, (f+g)(x) = f(x) + g(x)
So, (f+g)(x) = 3x - 1 + x + 2
= 4x + 1
What is the area of the triangle in centimeters
squared?
Answer:
A = 112cm²
Step-by-step explanation:
Area of a triangle = (bh) / 2
b = base length and h = height
The triangle shown has a given base length of 14cm and a given height of 16cm
Hence area = ( 16 * 14 ) / 2
16 * 14 = 224
224 / 2 = 112
A = 112cm²
Find the area of the shape.
17 m
4 m
7 m
9 m
What is the area
Step-by-step explanation:
Area squares the unit of length. in this case, none of these are area
(By the way is this question tagged with a picture)
If f(x) = 4x − 6 and g(x) = 6x − 4, what is f · g?
Answer:
f · g = 24x² - 52x + 24
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsExpand by FOILFunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = 4x - 6
g(x) = 6x - 4
Step 2: Find f · g
Substitute in function values: f · g = (4x - 6)(6x - 4)Expand [FOIL]: f · g = 24x² - 16x - 36x + 24[Subtraction] Combine like terms: f · g = 24x² - 52x + 24PLEASE HELP AT YOUR EARLIEST CONVINECE CORRECT ANSWER GET BRAINLIEST AND 50 POINTS PLEASE HELP
The data set below shows the weights of some puppies, in pounds, at a kennel:
10, 11, 12, 12, 13, 13, 14, 15, 15
Which histogram represents the data set?
A histogram is shown with title Puppy Weight. On the horizontal axis, the title is Pounds. The title on the vertical axis is Puppies. The range on the horizontal axis is 10 to 11, 12 to 13, and 14 to 15. The values on the vertical axis are from 0 to 6 at intervals of 1. The bar for the first range goes to 2, the bar for the second range goes to 4, the bar for the third range goes to 3.
A histogram is shown with title Puppy Weight. On the horizontal axis, the title is Pounds. The title on the vertical axis is Puppies. The range on the horizontal axis is 10 to 11, 12 to 13, and 14 to 15. The values on the vertical axis are from 0 to 6 at intervals of 1. The bar for the first range goes to 3, the bar for the second range goes to 4, the bar for the third range goes to 2.
A histogram is shown with title Puppy Weight. On the horizontal axis, the title is Pounds. The title on the vertical axis is Puppies. The range on the horizontal axis is 10 to 11, 12 to 13, and 14 to 15. The values on the vertical axis are from 0 to 6 at intervals of 1. The bar for the first range goes to 2, the bar for the second range goes to 3, the bar for the third range goes to 4.
A histogram is shown with title Puppy Weight. On the horizontal axis, the title is Pounds. The title on the vertical axis is Puppies. The range on the horizontal axis is 10 to 11, 12 to 13, and 14 to 15. The values on the vertical axis are from 0 to 6 at intervals of 1. The bar for the first range goes to 4, the bar for the second range goes to 2, the bar for the third range goes to 3.
I ATTACHED A PICTURE OF THE GRAPH ANSWER CHOICES FOR BETTER UNDERSTANDING
Thank you have a wonderful day :) (dont stress over this just try your hardest)
Answer:
the last graph
Step-by-step explanation:
Answer:
Putting an answer so you can give the other person brainly.
Step-by-step explanation:
Also is it really D) ???
Cause I thought it was A)
pls answer this. its easy but for me nah
Answer:
1. acute
2. Right
3. maybe acute
4. obtuse
5. acute
6. obtuse
7. straight
8. obtuse
9. acute
10. obtuse
11. acute
12. acute
13. obtuse
14. obtuse
the perimeter of one rectangle is 120cm. another rectangle with twice the length amd and one third the width has a perimeter of 170 cm. what are the dimensions of the two rectangles?
Answer:
Dimensions of 1st rectangle,
length = 39 cm, width = 21 cm.
Dimensions of the 2nd rectangle,
length = 78 cm, width = 7 cm.
Step-by-step explanation:
Let the dimensions of the 1st rectangle be,
Length = x, width = y
so the dimensions of the 2nd rectangle becomes,
Length = 2x, width = y/3
perimeter of the first rectangle,
2(x+y)=120 --------- (i)
perimeter of the 2nd rectangle,
2(2x+y/3)=170 ---------(ii)
if we solve equation (i) and (ii), we'll get,
x = 39
y = 21
for the other rectangle, 2x = 78, y/3 = 7.
Answered by GAUTHMATH
Need help will give thanks and brainliest
Answer:
6in x 4in = 24in
and for the second one
6in x 2in= 12in
Find the value of x
3x+2=23
Answer:
x = 7
Step-by-step explanation:
23 - 2 = 21
21 / 3 = 7
x = 7
Answer:
x = 7
Step-by-step explanation:
3x + 2 = 23
3x = 23 - 2
3x = 21
x = 21/3
x = 7
I hope you understand...
This is Right answer...
I need help fast in these questions.
Answer:
all...
Step-by-step explanation:
Choose the function that is a "parent function". O f(x) = x=3 o f(x) = (x - 3)2 O o f(x)= X O f() = x-31
Answer:
option D is the correct answer I think so
what is the equation of a line that is perpendicular to y=1/2x+1 and passes through the point of (8,0)?
Answer:
D. y= -2x+16
Step-by-step explanation:
the slope = -1÷½ = -2
the equation :
y-0= -2(x-8)
y = -2x+16
can someone please help PLEASE
What would be a sound, simple, straightforward way to describe IQR (Interquartile range)
Answer:
IQR: is the length of the middle 50% of that interval of space
Step-by-step explanation:
In order to find IQR, subtract the third interquartile range - the first interquartile range
We have 2 fractions 2/5 and 3/10, and we want to rewrite them so that they have a common denominator (and whole number numerators).
Answer:
2/5=4/10 3/10
Step-by-step explanation:
2x2
5x2
Answer:
4/10 and 3/10
Step-by-step explanation:
The common denominator for 5 and 10 is 10
2/5 *2/2 = 4/10
2/5 and 3/10 with common denominators are
4/10 and 3/10
The equation a + b + c = 180 describes the sum of the angles in a triangle.
Use this formula to find the values of a, b and c when b = 2a and c = 3a
Answer:
a=30 b=60 c=90
Step-by-step explanation:
you replace b with 2a and c with 3a and you get
a+2a+3a=180
6a=180
a=30
from here you replace a with 30 and find b and c
b=2a=2*30=60
c=3a=3*30=90
A model of a car is 24 in. long. The actual car is 16 ft long. What is the ratio
of the length of the model to the length of the car?
1 foot = 12 inches.
The model of the car is 24/12 = 2 feet long.
The ratio would be 2 ft/ 16 ft which can be reduced to 1/8
Answer 1/8
Share £35 in the ratio 4:1
Answer:
£28 : £7
Step-by-step explanation:
sum the parts of the ratio, 4 + 1 = 5 parts
Divide the quantity by 5 to find the value of one part of the ratio
£35 ÷ 5 = £7 , then
4 parts = 4 × £7 = £28
£35 = £28 : £7 in the ratio 4 : 1
18. Given that g(x) = -(x^2)/4, what is the value of g(+8) ?
F. -16
G. 4
H. -1
J. 4
K. 16
Answer:
F. -16
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle g(x) = -\frac{x^2}{4}[/tex]
Step 2: Evaluate
Substitute in x [Function g(x)]: [tex]\displaystyle g(-8) = -\frac{(-8)^2}{4}[/tex]Exponents: [tex]\displaystyle g(-8) = -\frac{64}{4}[/tex]Divide: [tex]\displaystyle g(-8) = -16[/tex]PLEASE HELP BRO IM LOSING MY MIND (if u could explain how with the answer THATD be sick)
Answer:
y = (x+3)(x+2)(x+1)
Step-by-step explanation:
so how to determine that...
1) it has to be a third order equation (x^3) since it changes direction two times
2) it crosses the x axis at -1,-2,-3 so (x-1),(x-2),and (x-3) are factors
Susie leaves to go shopping driving 45 miles per hour toward the Happy Shopper Grocery Store. Susie is originally 20 miles due west of the store. Sammie leaves for the Happy Shopper Grocery Store at the same time driving 50 miles per hour on the same road but she is 25 miles due East
If they keep driving and do not stop at the store, how long (in hours) will it take for them to pass on the road? Where relative to the store is this (please state a distance and whether they are East or West of the store). Round the time (in hours) to the nearest thousandth and the distance to the nearest tenth if needed.
Answer:
Step-by-step explanation:
when they meet, time taken are same.
total distance they travel=20+25=45mile
total speed=45+50=95mile/hour
time=45/95=0.474hour
0.47*45=21.4mile>20mile so they meet at east of store.
What is another word for zeros?
Answer:
nothing
Step-by-step explanation:
Zero is a number without a value so nothing could be another word for it
Which sequence is geometric?
Answer:
4th option
Step-by-step explanation:
in geometric sequences the number is multiplied or divided by same number continuously
in the 4th option we can see that the number 1 is multiplied by 4 continuously so the correct answer would be that.
The pyramid ABCDE has a square base. the pyramid is 20cm high and each sloping edge measures 30cm. calculate the length of the sides the base
Answer:
44.8 cm
Step-by-step explanation:
Vertical height (h) = EM = 20 cm
Slant height (l) = 30 cm
This two heights form a right angle at the interception at the base. Thus, we have a right angle triangle.
The length of the sides of the base = 2 × the base of the right triangle
✔️Use Pythagorean theorem to find the base of the right triangle formed. Thus: c² = a² + b²
a = base of the triangle
b = h = 20 cm
c = l = 30 cm
Plug in the values
30² = a² + 20²
a² = 30² - 20²
a² = 500
a = √500
a = 22.4 cm
✔️length of the sides of the base = 2 × the base of the right triangle
= 2 × a
= 2 × 22.4
= 44.8 cm
The question is in the screenshot
Mrs. Johnson has 159 chickens that she puts in shelters at night to keep safe. She places 12 chickens in a shelter and continues putting this number of chickens in each shelter until she comes to the last one. How many chickens will Mrs. Johnson put in the last shelter?
Answer:
3 chickens will Mrs. Johnson put in the last shelter
Step-by-step explanation:
According to the question,
Given,Mrs. Johnson has 159 chickens that she puts in shelters at night to keep safe. She places 12 chickens in a shelter .
thus,If she put 12 chickens in each 13 shelters ( 12×13=156 chickens) adjusted in shelters .
Then, the remaining 159-156 = 3 chicken will Mrs. Johnson put in the last shelter .
PLEASE HELP! What is the number ( code ) ?
Answer:
The number code is: 12.95
Step-by-step explanation:
98.86 + 74.57 = 173.43
345.32 - 19.78 = 325.54
0.79 x 0.86 = 0.6794
5733.75 + 75 = 5,808.75
So, if you put the numbers together you will get -
12.95
Hope this helps!
Good Luck!
:)
If you can, please mark me brainiest
the quotient of 55 and x
Answer:
the should be one more piece of information..
Step-by-step explanation:
may be your answer is
55/x