Answer:
3x²+(-27x) +0
Step-by-step explanation:
The given expression is :
x + 3x² – 28x
We need to solve this in the form of ax²+bx+c.
we can write the given expression as :
3x²-28x+x = 3x²-27x
= 3x²+(-27x) +0
If we compare the given expression with the general expression, we find that,
a = 3, b = -27 and c = 0
Hence, the required equation is 3x²+(-27x) +0.
Evaluate w divided by z if w= 6/7 and z= 3
Answer:
[tex]\dfrac{w}{z}=\dfrac{2}{7}[/tex]
Step-by-step explanation:
Given that,
[tex]w=\dfrac{6}{7}[/tex]
z = 3
We need to find [tex]\dfrac{w}{z}[/tex].
Put w = 6/7 and z = 3 in the w/z
[tex]\dfrac{w}{z}=\dfrac{\dfrac{6}{7}}{3}\\\\=\dfrac{6}{7}\cdot\dfrac{1}{3}\\\\=\dfrac{2}{7}[/tex]
So, [tex]\dfrac{w}{z}=\dfrac{2}{7}[/tex]. Hence, the correct answer is 2/7.
Please help me ASAP, Im so stuck.
Answer:
b
Step-by-step explanation:
What is the length of the hypotenuse to the nearest hundredth place in the diagram
below?
570
4cm
A 2.60
B 6.16
C 4.77
D 7.34
What was the answer
Answer:D
Step-by-step explanation:
37
R
12
B
35
С
Find tan(a) in the triangle.
Choose 1 answer:
А
35
37
35
B
12
12
35
12
37
The value of the tangent of angle α will be 35/12. Then the correct option is B.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
The triangle ΔABC is given below.
Then the value of tan α will be
tan α = 35 / 12
Then the correct option is B.
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
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What is -20 + 1/2 in a decimal form
Answer: The answer is -19.5
Step-by-step explanation: This is because 1/2 is .5 in decimal form. A negative PLUS a positive = is negative since the -20 is larger than .5
Answer:
the answer would be -19.5 :)
Step-by-step explanation:
Use the following definition of absolute value to prove the given statements: If x is a real number, then the absolute value of x , | x | , is defined by: | x | = { x if x ≥ 0 − x if x < 0 For any real number x , | x | ≥ 0 . Moreover, | x | = 0 implies x = 0 . For any two real numbers x and y , | x | ⋅ | y | = | x y | . For any two real numbers x and y , | x + y | ≤ | x | + | y | .
Answer:
Proved all parts below.
Step-by-step explanation:
As given ,
|x| = [tex]\left \{ {{x , x\geq 0} \atop {-x, x< 0}} \right.[/tex]
To prove- a) For any real number x , | x | ≥ 0 . Moreover, | x | = 0 ⇒ x = 0
b) For any two real numbers x and y , | x | ⋅ | y | = | x y | .
c) For any two real numbers x and y , | x + y | ≤ | x | + | y | .
Proof -
a)
As given x is a real number
Also , by definition of absolute value of x , we get
| x | ≥ 0
Now,
if |x| = 0
⇒ x = 0 and -x = 0
⇒ x = 0 and x = 0
⇒ x = 0
∴ we get
| x | = 0 ⇒ x = 0
Hence proved.
b)
To prove - | x | ⋅ | y | = | x y |
As we have,
|x| = [tex]\left \{ {{x , x\geq 0} \atop {-x, x< 0}} \right.[/tex]
|y| = [tex]\left \{ {{y , y\geq 0} \atop {-y, y< 0}} \right.[/tex]
|xy| = [tex]\left \{ {{xy , x,y > 0 and x,y < 0} \atop {-xy, x > 0, y< 0 and x <0 , y > 0}} \right.[/tex]
We have 4 cases : i) when x > 0 , y > 0
ii) when x > 0 , y < 0
iii) when x < 0, y > 0
iv) when x < 0, y < 0
For Case I - when x > 0 , y > 0
⇒ |x| = x, |y| = y
⇒|x|.|y| = xy
For Case Ii - when x > 0 , y < 0
⇒ |x| = x, |y| = -y
⇒|x|.|y| = -xy
For Case Iii - when x < 0 , y > 0
⇒ |x| = -x, |y| = y
⇒|x|.|y| = -xy
For Case IV - when x < 0 , y < 0
⇒ |x| = -x, |y| = -y
⇒|x|.|y| = (-x)(-y) = xy
∴ we get , from all 4 cases
| x | ⋅ | y | = | x y |
Hence Proved.
c)
To prove - | x + y | ≤ | x | + | y |
Let
|x| = |x + y - y|
≥ |x + y| - |y| ( Triangle inequality)
⇒ |x| + |y| ≥ |x + y|
Hence Proved.
Which which equation is standard form has a graph that passes through the point -4 2 and has a slope of 9/2
Answer:
Equation of straight line that passes through (-4, 2) and has slope 9/2 is
[tex]y-2=\frac{9}{2} (x+4)[/tex]
Step-by-step explanation:
Equation of straight line in point slope form is given as
[tex]y-y_1=m(x-x_1)[/tex] ---------(2)
Here
[tex]m = \frac {9}{2}[/tex] and [tex](x_1, y_1) = (-4, 2)[/tex]
Substituting values in equation (1)
[tex]y-2=\frac{9}{2} (x+4)[/tex]
I will give brainiest to whoever answers correctly !!
Answer:
After 10 years, the population of the town will be of 5905.
After 50 years, the population of the town will be of 11487.
Step-by-step explanation:
The population of the town after x years is given by the following equation:
[tex]P(x) = 5000(1.181)^{0.1x}[/tex]
After 10 years, the population of the town will be of:
This is P(10). So
[tex]P(10) = 5000(1.181)^{0.1*10} = 5000(1.181)^1 = 5905[/tex]
After 10 years, the population of the town will be of 5905.
After 50 years, the population of the town will be of:
This is P(50). So
[tex]P(50) = 5000(1.181)^{0.1*50} = 5000(1.181)^5 = 11487[/tex]
After 50 years, the population of the town will be of 11487.
Convert each of these fractions into a percent.
a. 3/20 -
b. 1/20 -
c. 12/50 =
d. 80/200 =
e. 8/25 =
f. 8/10 =
g. 16/400 =
h. 24/300 =
i. 3/5 =
j. 3/2 =
k. 45/500 =
I. 30/25 =
Answer:
15%
5%
24%
40%
32%
80%
32%
54%
60%
66%
9%
89%
Step-by-step explanation:
Write an expression for the sequence of operations described below.
q more than the quotient of 10 and p
Do not simplify any part of the expression.
Bebe's Bakery can bake 175 loaves of bread in 5 hours as shown on the double number line diagram below. 5 Number of Hours Loaves of Bread 175 At that rate, how many loaves of bread can Bebe's Bakery bake in 8 hours? A. 35 loaves B. 240 loaves C. 280 loaves D. 350 loaves
Answer:
double number line diagram below. 5 Number of Hours Loaves of Bread 175 At Bakery bake in 8 hours? A. 35 loaves B. 240 loaves
Step-by-step explanation:
Working out Choose a person aged 19 to 25 years at random and ask, "In the past seven days, how many times did you go to an exercise or fitness center or work out?" Call the response Y for short. Based on a large sample survey, here is a probability model for the answer you will get:8Working out Choose a person aged 19 to 25 years at random and ask, "In the past seven days, how many times did you go to an exercise or fitness center or work out?" Call the response Y for short. Based on a large sample survey, here is a probability model for the answer you will get:8
Solution :
Days : 0 1 2 3 4 5 6 7
Probability : 0.68 0.05 0.07 0.08 0.05 0.04 0.01 0.02
This is a valid probability distribution.
In the question it is given that call for a response of Y for short of a sample of people aged between 19 years to 25 years.
Also the event that describes the value of call for response greater than 3 i.e. (Y < 3) is a randomly chosen people between the age 19 to 25 years old who has gone to fitness center or did exercise fewer than 3 days.
Valid probability models add up to 1
The probability is a valid probability model
The probability model is given as:
Days : 0 1 2 3 4 5 6 7
Probability : 0.68 0.05 0.07 0.08 0.05 0.04 0.01 0.02
To determine if the model is a valid probability model, or not
We make use of:
[tex]\mathbf{\sum P(x) = 1}[/tex]
So, we have:
[tex]\mathbf{0.68 + 0.05 + 0.07 + 0.08 + 0.05 + 0.04 + 0.01 + 0.02 = 1}[/tex]
Add the probabilities
[tex]\mathbf{ 1= 1}[/tex]
The above equations shows that:[tex]\mathbf{\sum P(x) = 1}[/tex]
Hence, the probability is a valid probability model
Read more about probability models at:
https://brainly.com/question/9965602
pls i need help due tonight
Answer:
-3/4
Step-by-step explanation:
-1 1/4 = -5/4
1/2 = 2/4
-5 + 2 = -3
-3/4
Answer: The answer is -3/4
Step-by-step explanation: covert the mixed numbers to improper fractions, then find the LCD and combine.
PLEASE HELP ASAP
A drug researcher decides to test a new arthritis pain medication for safety
and effectiveness on a treatment group of 17 severely disabled arthritis
sufferers in a hospital ward. For the safety portion of the study, the same drug
will be administered to 17 healthy volunteers from the hospital staff. The
experiment will be repeated with the same experimental design at a number
of other hospitals and outpatient clinics across the country,
Which of the following principles of experimental design are being followed?
Check all that apply.
A. Replication
B. Control
I C. Blindness
D. Blocking
E. Randomization
please look at the question, I uploaded it!
Answer:
angle JKL is 21
Step-by-step explanation:
the angle of the two triangles are the same, so (2x + 1) = (3x - 9)
You would then find the x, which equals to 10.
Then replace x with ten with the equation.
Eric´s mother drives to work in 20 min when driving at her usual speed. When traffic is bad, she drives 10 miles per hour slower, and the trip takes 10 minutes longer. What is Eric´s mother´s usual speed?
Answer:
30
Step-by-step explanation:
I could be wrong
The usual speed of Eric's mother is 4 miles per hour .
Eric´s mother drives to work in 20 min when driving at her usual speed.
Let the usual speed of Eric's mother be "u" miles per hour (mph)
When the traffic is bad she drives 10 miles per hour slower.
The speed of Eric's mother when the traffic is bad = u-10 mph
The time taken by Eric's mother when the traffic is bad = 30 min
[tex]\rm Displacement = \dfrac{Velocity }{Time }[/tex]
The considering the displacement in both the cases is same hence we can
say that
[tex]\rm \dfrac{u}{20/60} = \dfrac{-(u-10)}{30/60} \\\rm 3u = -2u +20 \\5u = 20 \\u = 4[/tex]
So the usual speed of Eric's mother is 4 miles per hour .
For more information please refer to the link given below
https://brainly.com/question/23294846
1. If the spinner below is spun once, find each
probability.
Answer: P(4) - 4/12,1/3,33%,0.33
Step-by-step explanation:
My teacher went over the answers
Given that f(x)=x^2-1
A) find f(5)
B) find f^-1(x)
C)f^-1(8)
Answer:
a) f(5) = 24
b) The inverse of given function
f⁻¹ ( x ) = √x+1
c) f⁻¹ ( 8 ) = √9 =3
Step-by-step explanation:
Explanation:-
Given f(x) = x² - 1
a)
f(5) = 5² -1 = 25-1 =24
b)
put y = f(x) = x² - 1
⇒ y = x² - 1
⇒ x² = y + 1
⇒ x = √y+1
⇒ f⁻¹ ( y ) = √y+1 ( ∵ f⁻¹ ( y) =x)
The inverse of given function
f⁻¹ ( x ) = √x+1
c) put x=8
f⁻¹ ( 8 ) = √8+1 = √9 =3
help geometry unit 1
Answer:
here you go...........
Simplify: 14 + 3k = 6k - 7k
4k = 14
14 = -k
k = 14
4k = -14
Add and Subtract mixed numbers. Find the sum or difference in simplest form. 31/2 - 1 1/2
Compare 0.55 ____ 0.525 using , or =
Answer:
0.55 > 0.525
Step-by-step explanation:
Answer:
Step-by-step explanation:
0.55=0.550
0.550>0.525
so 0.55>0.525
Solve for x Show all steps
25 x² + 100 = 0
Step-by-step explanation:
25x² + 100 = 0
25(x² + 4) = 0
x² + 4 = 0
x² = -4
Since x² >= 0 for all real values of x, there is no real solution for x. However there are complex solutions.
=> x = ±√-4
=> x = 2i or x = -2i.
What is the value of the expression ?
[tex]16 - 3 \times 5 {}^{2} \div 5[/tex]
[tex]16 - 3 \times 5 {}^{2} \div 5 {}^{1} [/tex]
[tex]16 - 3 \times 5 {}^{2} \div 5 {}^{ - 1} [/tex]
[tex]16 - 3 \times 5 {}^{2 - 1} [/tex]
[tex]16 - 3 \times 5 {}^{1} [/tex]
[tex]16 - 3 \times 5[/tex]
[tex]16 - 15[/tex]
[tex]1[/tex]
HopeItHelps you
#CarryOnLearning
Mrs kin picked some tomatoes from her garden. She use 5/9 of her tomatoes to make pasta sauce. Then she used 5/8 of the remainder to make a salad and saved the rest for the next day. What fraction of the tomatoes did mr kin saved
Answer:
1/6 of the tomatoes
Step-by-step explanation:
So first, after she uses 5/9 she has 1 - 5/9 = 4/9 of her tomatoes left. Then, she uses 5/8 of that 4/9 to make a salad, so she used 5/8 * 4/9 = 5/18 of her tomatoes overall. That means that she has 4/9 - 5/18 = 8/18 - 5/18 = 3/18 = 1/6 of her tomatoes saved.
Answer:
2 and 21/32
Step-by-step explanation:
natalie was out at a restaurant for dinner when the bill came. her dinner came to $29. after tipping in a tip, before tax, she paid $34.22. find the percent tip
Answer:
%18 tip
Step-by-step explanation:
The dinner cost was $29 before tip
after tip it was $32.22
34.22-29= $5.22 she tipped
$29 * %x = $5.22
After solving this equation, the x is %18
Which pairs of numbers are relatively prime? Check all
that apply.
O 9 and 15
O 9 and 40
O 9 and 21
O 15 and 21
o 21 and 40
Answer: b and e
Answer:
B and E are indeed correct
Find the sum of the first 9 terms of the following sequence. Round to the nearest
hundredth if necessary.
4,
8,
16, ...
Answer:
Your missing a number and your answer is 12
Step-by-step explanation:
PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((
Answer:
The slope intercept form is y=1/6x+1
Step-by-step explanation:
Answer:
first point goes on (0,1)
second point goes on (6, 1)
hope that helps :)
Step-by-step explanation:
(x is first, y is second)
solve the equation 1/2x+7=18
Answer: 22
Step-by-step explanation:
Solve for x
1/2x + 7 = 18
Combine 1/2 and x.
x/2+ 7 = 18
Move all terms not containing x to the right side of the equation.
Subtract 7 from both sides of the equation.
x/2= 18 − 7
x/2 = 11
Multiply both sides of the equation by 2.
2 ⋅ x/2 = 2 ⋅ 11
Simplify both sides of the equation.
Cancel the common factor of 2.
x = 2 ⋅ 11
Multiply 2 by 11.
x = 22
