Answer:
(5x - 1)(5x - 1) = 25x² - 10x + 1
Step-by-step explanation:
Let us solve the question step by step
We need to find the product of (5x - 1) and (5x - 1)
The first step multiply 1st term in 1st bracket by 1st term in 2nd bracket (5x by 5x)∵ 5 × 5 = 25
∵ x × x = [tex]x^{1+1}[/tex] ⇒ multiply same base means add their powers
∴ x × x = x²
∴ 5x × 5x = 25x²
The second step multiply 1st term in 1st bracket by 2nd term in 2nd bracket (5x by -1)∵ 5x × -1 = (5 × -1)x
∴ 5x × -1 = -5x
The third step multiply 2nd term in 1st bracket by 1st term in 2nd bracket (-1 by 5x)∵ -1 × 5x = (-1 × 5)x
∴ -1 × 5x = -5x
The fourth step multiply 2nd term in 2nd bracket by 2nd term in 2nd bracket (-1 by -1)∵ -1 × -1 ⇒ (-)(-) = (+)
∴ -1 × -1 = 1
The fifth step add them up∵ (5x - 1)(5x - 1) = 25x² + -5x + -5x + 1
∵ -5x and -5x are like term, then add their coefficients
∵ -5x + -5x = (-5 + -5)x
∴ -5x + -5x = -10x
∴ (5x - 1)(5x - 1) = 25x² + -10x + 1
∵ (+)(-) = (-)
∴ (5x - 1)(5x - 1) = 25x² - 10x + 1
Which of the following is the value of PQ ?
Helllp please
Answer:
B. 61
Step-by-step explanation:
Given that ∆PQR and PQS are congruent, it follows that their corresponding sides are of the same length.
Therefore,
[tex] RQ = SQ [/tex]
[tex] 3x + 16 = 7x - 24 [/tex]
Collect like terms
[tex] 16 + 24 = 7x - 3x [/tex]
[tex] 40 = 4x [/tex]
Divide both sides by 4
[tex] \frac{40}{4} = \frac{4x}{4} [/tex]
[tex] 10 = x [/tex]
[tex] x = 10 [/tex]
Find PQ:
[tex] PQ = 2x + 41 [/tex]
substitute x = 10 into the equation
[tex] PQ = 2(10) + 41 [/tex]
[tex] PQ = 20 + 41 [/tex]
[tex] PQ = 61 [/tex]
What is f(5) for the function f(x) = 2x+4
Answer: 1/2 half
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
f(5) you plug in 5 as x
2(5)+4
2×5=10
10+4=14
Which expression results in a rational number?
Answer:
A
Step-by-step explanation:
It resluts in 4
The thickness of a single sheet of paper is about 0.00005 meters. Express this number in scientific notation.
Answer:
5* 10^(-5)m is the scientific notation of 0.00005m.
Which point on the number line represents 30%?
Answer:
Point S
Step-by-step explanation:
30% can be rewritten as 0.30, which happens to be where point s falls, on the third mark between 0 and 1.
Answer: T
Step-by-step explanation:
Idk if this is true but if you're looking for 30% on one, you'd want to count the total amount of spikes before number one. There are 10, so you can probably infer that 30% of 10 is 3, making it T.
Simplify.
(x6y3)−2x−5y−8
Answer:
18xy-2x-5y-8
Step-by-step explanation:
Просто умножьте,то что было в скобках
. 20% of the people at a restaurant selected Chinese food. If 40 people did not select
the Chinese food then how many people were eating in the restaurant?
Answer:
Depends
Step-by-step explanation:
50
Answer:
50 people
Step-by-step explanation:
Compare theâ z-scores to decide which of the followingâ x-values lie the greatest distance above the mean and the greatest distance below the mean. a. x=â100, μ=â50, Ï=25 b. x=â1, μ=â4, Ï=1 c. x=â0, μ=â200, Ï=100 d. x=â10, μ=â5, Ï=3 a. Theâ z-score is 22. â(Type an integer or decimal rounded to two decimal places asâ needed.) b. Theâ z-score is negative 3â3. â(Type an integer or decimal rounded to two decimal places asâ needed.) c. Theâ z-score is negative 2â2. â(Type an integer or decimal rounded to two decimal places asâ needed.) d. Theâ z-score is 1.671.67. â(Type an integer or decimal rounded to two decimal places asâ needed.) Theâ x-value that lies the greatest distance above the mean is the value from part â¼ and theâ x-value that lies the greatest distance below the mean is the value from
If the sum of two consecutive even integers ‘a’ and ‘b’ is k, what is the sum of the next two consecutive integers greater than ‘b’ in terms of k?
Answer:
We have two consecutive even integers:
a and b.
We know that we can write a even integer as:
a = 2*n
where n is an integer.
Then the consecutive integer to a, b, will be:
b = 2*n + 2.
Then the sum of a and b is:
a + b = 2n + 2n + 2 = 4*n + 2 = 2*(2n + 1) = k.
The next two consecutive integers greater than b will be:
c = 2n + 4
d = 2n + 6
then:
c + d = (2n + 4) + (2n + 6) = 4n + 10 = k + 4.
consider the equation a(4-x) = -3x+b. What values of a and b make the solution of the equation x = -5?
a=
b=
choices-
9. 7. 6. 5. 1. 0. -1. -5. -6. -7. -9
y’all please help asap
Answer:
b=−ax+4a+3x
a= b−3x −x+4
Step-by-step explanation:
The values of a and b make the solution of the equation x = -5 are 1 and -6
How to determine the values of a and b?The equation is given as:
a(4-x) = -3x+b
When x = -5, we have:
a(4+5) = -3(-5)+b
Evaluate the products
9a = 15 + b
Set a = 1
9(1) = 15 + b
Make b the subject
b = 9 - 15
b = -6
Hence, the values of a and b make the solution of the equation x = -5 are 1 and -6
Read more about equations at:
https://brainly.com/question/14323743
Amanda is 25 years old. In 5 years time she will be twice as old as Simone.how old is Simone ?
Answer:
15 years old.
Step-by-step explanation:
Amanda is currently 25 years old.
In 5 years of time, she will be twice as old as Simone.
25+5=30.
30/2=15.
Thus, Simone is 15 years old.
I need help, please
Answer:
2
Step-by-step explanation:
1+1=2
Which of the following is a valid conclusion based on the Venn diagram?
A.
If a pet is not a dog, then it is a beagle.
B.
If a pet is a dog, then it is a beagle.
C.
If a pet is a beagle, then it is a dog.
D.
If a pet is a dog, then it is not a beagle.
Answer:
C
Step-by-step explanation:
A beagle is a dog but not all dogs are beagles.
WILL MARK BRAINLIEST PLEASE HELP!!!!!!!!! Find the value of the expression: 2c2+3 for c=–11; 0; 15
Answer:
c = -11
expression value = 245
c = 0
expression value = 3
c = 15
expression value = 453
Step-by-step explanation:
Given expression = [tex]2c^2 + 3[/tex]
for c = -11 , we put c in place of c in given expression
[tex]2(-11)^2 + 3 = 2(121) + 3 = 242 + 3 = 245[/tex]
for c= 0
[tex]2(0)^2 + 3 = 2(0) + 3 = 0 + 3 = 3[/tex]
for c = 15
[tex]2(15)^2 + 3 = 2(225) + 3 = 450 + 3 = 453[/tex]
A rectangular athletic field is twice as long as it is wide. If the perimeter of the athletic field is yards, what are its dimensions 76
Answer:
The length is 25.3 yards, while the width is 12.7 yards.
Step-by-step explanation:
Perimeter of a rectangle, P = 2(l + w)
where l is its length and w the width.
Given that:
perimeter = 76 yards
It is twice as long as its wide, length = 2w
width = w
Then,
P = 2(l + w)
76 = 2(2w + w)
divide through by 2, to have;
38 = 2w + w
38 = 3w
⇒ w = 12.67 yards
Thus,
length = 2w = 2 x 12.67 = 25.34 yards
The length is 25.3 yards, while the width is 12.7 yards.
Solve for n.
4n + 7 = 19
n =
I need help plz mark brainliest
Answer:
Yes, No, No, Yes
Step-by-step explanation:
Answer:
A.) No
B.) No
C.) No
D.) Yes
Step-by-step explanation:
I just did it a month ago.
Find the area under the standard normal curve that lies outside the interval between following two values. Round the answers to at least four decimal places. (a)Find the area under the standard normal curve that lies outside the interval between -1.43 and 1.34.
Answer:
A = 0,16644
Step-by-step explanation:
The area (A₁) under the bell shape curve, from the left tail up to the point ( z score) 1,34 is:
For z (score ) = 1,34 A₁ = 0,9099
The area A₂ from the left tail up to z = -1,43 is
A₂ = 0,07634
Area A₂ is inside area A₁, the area A₃ inside the points - 1,43 and 1,34 is
A₃ = A₁ - A₂
A₃ = 0,9099 - 0,07634
A₃ = 0,83356
Finally area outside the interval - 1, 43 and 1,34 is A ( the area we were looking for) is
A = 1 - A₃
A = 1 - 0,83356
A = 0,16644
If a person walks 1/4 in 10 minutes , how far will that person walk in one hour
Answer:
One and a half or 1 and 1/2
Answer:
6/4 or 1 and 2/4
Step-by-step explanation:
How do you do this question?
Answer:
14/29
Step-by-step explanation:
Simply substitute 5 for n.
a₅ = (5 + 9) / (5×5 + 4)
a₅ = 14 / 29
construction company builds an average of 48 houses per year. How many houses per month does the company build?
Answer:
48 per year would be 4 houses a month
Step-by-step explanation:
4 * 12 = 48
The data on the right represent the number of traffic fatalities by seat location and gender. Determine P() and P(|). Are the events "" and "" independent? Total Total Determine P(). P() . 318 (Round to three decimal places as needed.) Determine P(|). P(|) . 264 (Round to three decimal places as needed.) Are the events "" and "" independent? A. Yes. The occurrence of the event "" affects the probability of the event "." B. No. The occurrence of the event "" affects the probability of the event "." C. No. The occurrence of the event "" does not affect the probability of the event "." D. Yes. The occurrence of the event "" does not affect the probability of the event "."
Answer:
The probability of selecting a male is 0.3151.
The events "male" and "driver" are not independent.
The correct option is B.
Step-by-step explanation:
The missing data is as follows:
Female Male Total
Driver 32759 11715 44474
Passenger 6534 6361 12895
Total 39293 18076 57369
The complete question is:
Determine P(male) and P(male|driver). Are the events "male" and "driver" independent?
Solution:
Compute the probability of selecting a male as follow:
[tex]P(M)=\frac{n(M)}{N}=\frac{18076 }{57369}=0.3151[/tex]
Thus, the probability of selecting a male is 0.3151.
Compute the probability of selecting a male given that he is a driver as follows:
[tex]P(M|D)=\frac{P(M\cap D)}{P(D)}=\frac{n(M\cap D)}{n(D)}=\frac{11715 }{44474}=0.2634[/tex]
Two events, say A and B, are independent if:
P (A|B) = P(A)
Here, P (M|D) ≠ P (M)
Thus, the events "male" and "driver" are not independent.
P(female)= .317
Determine P(femaleIpassenger)= .264
No. The occurrence of the event
"passenger" affects the probability of the event "female."
Find the 8th term of the geometric sequence 4, -12, 36, ...
Answer:
-8748
Step-by-step explanation:
Each number you are multiplying by -3
On the blueprint of a house,42 millimeters represents 8 meters. The actual length of the living room is 5 meters. What is its length on the blueprint?
Answer:
26.25 millimeters
Step-by-step explanation:
i think
Find the slope of the line from two given points: (12,-18) and (-15,-18)
Answer:
The answer is 0
Step-by-step explanation:
use the slope formula!
[tex]m= \frac{y_{2}-y_{1}}{x_{2}-x_{1} }[/tex]
12 is xsub1
-18 is ysub1
-15 is xsub2
-18 is ysub2
now solve!
[tex]m= \frac{-18-(-18)}{-15-(12)}\\=\frac{0}{3} \\=0[/tex]
slope is 0.
hope this helps!
Answer:
The slope of the line is 0. It's a horizontal line.
Step-by-step explanation:
Slope of a Line
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
We are given the points (12,-18) (-15,-18).
Calculate the slope:
[tex]\displaystyle m=\frac{-18-(-18)}{-15-12}[/tex]
[tex]\displaystyle m=\frac{-18+18}{-27}[/tex]
[tex]\displaystyle m=\frac{0}{-27}=0[/tex]
The slope of the line is 0. It's a horizontal line.
0.007 divided by 10 equivalent to 0.07
Does 0.007/10=0.07
true or false?
Answer:
NO if you wanted to get 0.07 you would have to multiply not divide.
Step-by-step explanation:
0.007/10=0.0007
What is the equation of the line that passes through the point (−8,7) and has a slope of 0?
Step-by-step explanation:
formula = y - y1 = m2 ( x - x1)
y - 7 = 0 ( x - (-8))
y - 7 = 0
y = 7
In the figure, m∠1=(2x+40)° and m∠8=(12x−20)° . PLEASE IM BEGGING FOR HELP
For what value of x is m∥n ?
Enter your answer in the box.
x =
Answer: x = 6
Step-by-step explanation:
Angles 1 and 8 are alternate exterior angles, so they are equal.
So you can create an equation to solve for x
12x−20 = 2x+40 Subtract 2x from both sides. Add 20 to both sides
10x = 60
x = 6
If you need the m∠1, Substitute 6 for x. (2x+40)° 2(6) +40= 12+40 m∠1= 52°
m∠8=(12x−20)° 12(6) - 20 = 72-20 m∠8 = 52°
Answer:
x=6
Step-by-step explanation:
free point
The sum of two integers is 5. Their difference is 3. What are
the two integers?
A
4 and 1
B -1 and 3
С
- 7 and 12
6 and 1
If 21 hours are worked, what are the total earnings?
*
2 points
HOURS WORKED
3
7
15
24
30
TOTAL EARNINGS
$46.50
$108.50
?
$372.00
$465.00
Nour answer
The
Yes
Answer:
232.50
Step-by-step explanation:
46.50÷3=15.5
15.5 is your money per hour/s
15.5x15=232.50
