Simplify the expression $(x-4)(x-7) + (3-x)(2+x).$
Help please!
The equation -10x + 34 is the simplification for the given expression.
Addition Sign RulesHere it is important to remember the rules for the addition of integers numbers:
+ + Add Final result (+)
- - Add Final result (-)
+ - Subtract Final result (the sign of the integer having a greater value )
- + Subtract Final result (the sign of the integer having a greater value )
Multiplication Sign RulesThe rules for multiplication of numbers are:
+ + or - -The result presents a positive sign (+) because the signs are same.
+ - or - +The result presents a negative sign (-) because the signs are different.
First, you should apply the distributive property and the multiplication sign rules.
(x-4)(x-7) + (3-x)(2+x)
x²-7x-4x+28+6+3x-2x-x²
After that, you should simplify the previous result from addition or subtraction sign rules.
x²-11x+34+x-x²
-10x + 34
Read more about the distributive property here:
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Please help please please
Answer:
1078m²
Step-by-step explanation:
Formulas:
Total Surface Area = 2B + Ph
Area = 1/2bh
Solve:
19 × 17 = 323
19 + 19 + 17 + 17 = 72
h = 6m
B = 323m
P = 72m
Total Surface Area = 2(323m) + (72m × 6m) = 1078m²
HELP ASAP!!! A padlock has a rotary dial of numbers from 0 to 59. The combination is a series of three numbers, each between 0 and 59. If you were to guess random numbers, what is the probability of guessing the combination correctly?
Answer
1/216000
Step-by-step explanation:
1/60 x 1/60 x 1/60
I hope this helps
The probability of guessing the combination correctly is extremely low, approximately 0.00046%.
What is probability?Probability is represented as the likelihood of an occurrence being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
There are 60 possible numbers on the rotary dial of the padlock, from 0 to 59. To calculate the total number of possible combinations, we can use the multiplication principle of counting.
Since the combination has three numbers, each of which may be any of the dial's 60 possible digit numbers, the total number of possible combinations is:
60 x 60 x 60 = 216,000
As a result, the padlock has 216,000 probable combinations.
If you were to predict random numbers, your chances of getting the proper combination are as follows:
1 / 216,000
This is due to the fact that there is only one accurate combination among the total of 216,000 conceivable combinations.
The likelihood of successfully guessing the combination is extremely low, around 0.00046%, implying that a human cannot open the padlock by randomly guessing the combination.
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Find the mean,median,mode.and range of the data set:12,15,17,16,10
Answer:
Mean: 14
Median: 15
Mode: All values appear just once
Range: 7
Please help answer !:)
Will give brainlst!!
Have a nice day
Answer:
6) .000000947
7) 244000000
8) .076
Help pls this is my first question on here and I need help with this pls. I will give you the brainliest and a thanks!! :)) Can you do 1 and 4 thanks!! :)))
A recipe for fruit punch uses 4 ounces of fruit mix to
make 6 glasses of punch. How many glasses of this
punch can be made from 26 ounces of fruit mix?
A) 24 B) 32 C) 36
D) 48
Answer:
39 glasses
Step-by-step explanation:
use proportion:
g = # glasses punch
4/6 = g/26
cross-multiply
4g = 26(6)
4g = 156
g = 39
if EB = 5 , find the value of CD
Chords and Arcs
Answer:
10Step-by-step explanation:
AB = 2EB
AB=CD
Due to that
Cd = 2EB therefore
CD = 10
PLEASE HELP (60)POINTS
The points (2, 1), (1, 0), (2, 1), (4, 2), and (8, 3) will be plotted on the graph accordingly. The x-coordinate represents the value from the domain, and the y-coordinate represents the corresponding value obtained by evaluating the equation
To plot the points on the graph for the equation y = log2x, we will substitute the given values from the domain (2, 1, 2, 4, 8) into the equation and calculate the corresponding y-values.
For x = 2, y = log2(2) = 1. The point (2, 1) represents this on the graph.
For x = 1, y = log2(1) = 0. The point (1, 0) represents this on the graph.
For x = 2, y = log2(2) = 1. The point (2, 1) represents this on the graph.
For x = 4, y = log2(4) = 2. The point (4, 2) represents this on the graph.
For x = 8, y = log2(8) = 3. The point (8, 3) represents this on the graph.
Now, we can plot these points on the graph. The x-axis will range from 0 to 10, and the y-axis will range from -1 to 4 to accommodate the points we have calculated.
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Round the nearest hundredth. 53.789
Answer: 53.79
Step-by-step explanation:
You roll a 6-sided die.
What is P(factor of 27)?
A.1/9
B.1/5
C.5/9
D.1/3
Answer:
D
Step-by-step explanation:
because 1 is a factor of every number and also three is a factor of 27
You and each of your 20 friends are each going to go out and randomly sample 50 people in Chicago and ask them how many Batman movies they have seen and will compute the average number for your sample of size 50. (a) Do you think that all 21 of you will have the exact same average number
Answer:
No
Step-by-step explanation:
No, absolutely not. I don't think we'd have the same sample average number. The randomising of values is quite high, very high, for one to think that we'd end up having the same average. Walking out there, talking to random people who don't even know each other at all means they will definitely give different numbers. Again, when you look at it, there are 21 of us, 21 is also a high number as well.
I believe with all these factors involved and actively militating, 21 people can't have the same sample average. No!
Triangle LMN, shown below, is a right triangle.
L
13
5
N
M
12
Which of the following is equivalent to sin L?
PLEASE ANSWER I NEED HELP!!
9514 1404 393
Answer:
D cos(N)
Step-by-step explanation:
In case you haven't remembered the fact that the sine of an angle is equal to the cosine of its complement (the other acute angle in a right triangle), you can always go back to the definitions.
Sin = Opposite/Hypotenuse
sin(L) = NM/NL
and
Cos = Adjacent/Hypotenuse
cos(N) = NM/NL = sin(L)
The equivalent of sin(L) is cos(N).
hey guys i got one more- 8 mi.=_yd. Thanks!!!(PLEASE ANWER FAST!!)
Answer:
if mi stands for miles then 8 miles = 14080 yards
Step-by-step explanation:
8 x 1760
Answer:
14080
Step-by-step explanation:
8 * 1760 = 14080
If X = 12 inches, Y = 16 inches, and Z = 20 inches, what is the tangent of
Answer:
who do pow en odd an odd an 9 all 9 FM
a bowl contains 5 red chips, 7 blue chips, 6 yellow chips, and 10 green chips. One chip is randomly drawn. Write the answer as a fraction in simplest form. Find the probability of choosing a red OR yellow chip.
Answer:
The probability is 11/28 or 39%
Step-by-step explanation:
You add 5+6=11 and their are 28 total chips.
Solve for the value of r.
Answer:
14
Step-by-step explanation:
The two given angles are opposite angles and opposite angles always have the same measure. Knowing this, we can construct the following equation:
7r+6=8r-8
Subtract both sides by 6
7r+6-6=8r-8-6
7r=8r-14
Subtract both sides by 8r
7r-8r=8r-14-8r
-r=-14
Divide both sides by -1
r=14
I hope this helps!
is finding the perimeter of a figure with all sides of equal length easier tgan finding the perimeter of other figures?
Answer:
yes, there are fewer numbers to compute.
It's just one length x the number of sides.
Step-by-step explanation:
The length of a room is 23 1/2 feet. When using a 1/8 inch = 1 foot scale, find the length of
the room on a floor plan.
Answer:
2.9375 inches or 2 15/16"
Step-by-step explanation:
23 1/2 feet equals 282 inches
(1/8 ÷ 12) = (x ÷ 282)
cross-multiply:
35.25 = 12x
x = 2.9375 or 2 15/16 inches
Using complete sentences, explain the key features of the graph of the cosine function. (10 points)
Explanation is in a file
bit.[tex]^{}[/tex]ly/3a8Nt8n
5) Is this dilation an enlargement or reduction
A) Englargement
B) Reduction
———————
6) What is the scale factor for this dilation? Hint: First identity if it’s an enlargement or reduction
A) 2
B) 1/2
C) 3
D) 1/3
Help me please! Thank you!
Answer:
the answer is 12
Can anyone know the answer please
find the circumference and the area of a circle with the diameter of 8 m.
Answer:
circumference = 8 x 3.14 = 25.12 m
area = 3.14(4²) = 50.24 m²
Step-by-step explanation:
Answer:
C= about 25.13
A= about 50.27
Step-by-step explanation:
The formula for circumference is 2* pi* r
The formula for area is pi *r^2
Which is the graph of the linear equation y=-1/4x+3
Answer: The Y-intercept would be positive 3, and your slope would be for every single risen coordinate on the Y axis, you move on the X-axis by 4.
Calculate the area of the shape below.
Answer:
6 1/2 in^2
Step-by-step explanation:
(4(3 1/4)) / 2 = 6 1/2 in^2
Answer:
6 1/2 or 6.5 in2
Step-by-step explanation:
A= Bxh/2
4x 3.25/2= 6.5
A=6.5 of 6 1/2
Cora uses the following ingredients to make once more.
Answer:
10 if the other the numbers go up as well
Step-by-step explanation:
20/2= 10
Which would mean Kora could make 10 s'mores
What is the solution set for 4x+ 9 <17?
A- x>2
B- x<2
C-x>4
D-x<4
Answer:
The awnser is d i think
Which table of the values can be defined by the function,y=4x-3
Answer:
B
Step-by-step explanation:
what is the area of a circle
The area of a circle with a radius of r is [tex]pi r^2[/tex]