Answer:
5/6
Step-by-step explanation:
1 1/2 - 2/3 =
= 1 3/6 - 4/6
We cannot subtract 4/6 from 3/6, so we borrow the 1 as 6/6 and add it to 3/6 to get 9/6. Now we can subtract 4/6 from 9/6.
= 9/6 - 4/6
= 5/6
Adam ran 3 miles in 30 minutes. If he continues at a
constant rate, how many miles can he run in 2
hours?
Find the percent increase. Round to the nearest percent.
From 15 friends to 17 friends
Answer:
13%
Step-by-step explanation:
Subtract 15 from 17 to find the increase -
17 - 15 = 2
Divide 2 by the original friend amount -
2/15 = 0.133
Multiply 0.133 by 100 to find the percent -
13.3
Round to the nearest percent:
13% increase
p(x)=x^3+7x^2+4x-12 find the root of p(x)
factor p(x)
Step-by-step explanation:
Step 1 :Equation at the end of step 1
(((x3) + 7x2) + 4x) - 12
Step 2 :Checking for a perfect cube
2.1 x3+7x2+4x-12 is not a perfect cube
Trying to factor by pulling out :
2.2 Factoring: x3+7x2+4x-12
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: x3+7x2
Group 2: 4x-12
Pull out from each group separately :
Group 1: (x+7) • (x2)
Group 2: (x-3) • (4)
Bad news !! Factoring by pulling out fails :
The groups have no common factor and can not be added up to form a multiplication.
Polynomial Roots Calculator :
2.3 Find roots (zeroes) of : F(x) = x3+7x2+4x-12
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 1 and the Trailing Constant is -12.
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1 ,2 ,3 ,4 ,6 ,12
Let us test ....
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 -10.00
-2 1 -2.00 0.00 x+2
-3 1 -3.00 12.00
-4 1 -4.00 20.00
-6 1 -6.00 0.00 x+6
-12 1 -12.00 -780.00
1 1 1.00 0.00 x-1
2 1 2.00 32.00
3 1 3.00 90.00
4 1 4.00 180.00
6 1 6.00 480.00
12 1 12.00 2772.00
The Factor Theorem states that if P/Q is root of a polynomial then this polynomial can be divided by q*x-p Note that q and p originate from P/Q reduced to its lowest terms
In our case this means that
x3+7x2+4x-12
can be divided by 3 different polynomials,including by x-1
Polynomial Long Division :
2.4 Polynomial Long Division
Dividing : x3+7x2+4x-12
("Dividend")
By : x-1 ("Divisor")
dividend x3 + 7x2 + 4x - 12
- divisor * x2 x3 - x2
remainder 8x2 + 4x - 12
- divisor * 8x1 8x2 - 8x
remainder 12x - 12
- divisor * 12x0 12x - 12
remainder 0
Quotient : x2+8x+12 Remainder: 0
Trying to factor by splitting the middle term
2.5 Factoring x2+8x+12
The first term is, x2 its coefficient is 1 .
The middle term is, +8x its coefficient is 8 .
The last term, "the constant", is +12
Step-1 : Multiply the coefficient of the first term by the constant 1 • 12 = 12
Step-2 : Find two factors of 12 whose sum equals the coefficient of the middle term, which is 8 .
-12 + -1 = -13
-6 + -2 = -8
-4 + -3 = -7
-3 + -4 = -7
-2 + -6 = -8
-1 + -12 = -13
1 + 12 = 13
2 + 6 = 8 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 2 and 6
x2 + 2x + 6x + 12
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x+2)
Add up the last 2 terms, pulling out common factors :
6 • (x+2)
Step-5 : Add up the four terms of step 4 :
(x+6) • (x+2)
Which is the desired factorization
Final result :
(x + 6) • (x + 2) • (x - 1)
In which function does an increase of 1 in quantity x correspond to an increase of 8 in
quantity y?
Answer:
C. y = 8x
Step-by-step explanation:
When x = 1
y = 8(1) = 8
when x = 2
y = 8(2) = 16
x increased by 1
y increased by 8
Suppose a population consists of many copies of the numbers 1, 2, and 3. If you choose a sample of size 2, what are the possible values of the sample mean
Answer:
9
Step-by-step explanation:
it just is
Evaluate (3x-2)/6 when x = 5
Answer:
13/6
Step-by-step explanation:
Substitue in 5 for x in 3x.
3x(5)= 15
15-2=13
13/6 or 2.16
I just need help thank you
Answer:
7x+5x-5=-5+12x
18x+5x-12x=5-5
0=0
6y-30=20+6y
6y-6y=50
0=50??
i didn't understand what's the question. i guess equations but weird answers
[tex] \sf 3a. \quad \frak{7x + 5(x - 1) = - 5 + 12x} \\ \\ : \implies \frak{7x + 5x - 5 = - 5 + 12x} \\ \\ : \implies \frak{7x + 5x - 5 = - 5 + 12x} \\ \\ : \implies \frak{12x - \cancel5 + \cancel5=12x} \\ \\ : \implies \frak{ \cancel{12x} - \cancel{12x} = 0} \\ \\ \star \qquad \underline{ \blue{\frak{x = undefined}}}[/tex]
[tex] \sf3b. \quad \frak{6(y - 5) = 2(10 + 3y)} \\ \\ \dashrightarrow \frak{6(y - 5) = 2(10 + 3y)} \\ \\ \dashrightarrow \frak{6y - 30= 20 + 6y} \\ \\ \dashrightarrow \frak{0y = 50} \\ \\ \star \qquad \underline{ \blue{\frak{y = undefined}}}[/tex]
Which expression is equivalent to -16 - 9?
Answer:
Option C is the answer.
Step-by-step explanation:
Let's first simplify the given problem.
-16 - 9
=> -25.
Now, let's see if Option C equals -25.
-16 + (-9)
=> -16 - 9
=> -25.
Therefore, Option C is correct.
[tex]Hiya![/tex]
Sokka is here to help!!
Here's a explanation!
[tex]-16-9[/tex]
Subtract:[tex]-16-9=-25[/tex]
ANSWER:[tex]=-25[/tex]The answer choice is C.Hopefully, this helps you!!
[tex]Sokka[/tex]
In an experiment, a fair four-sided die (its faces are labeled 0, 1, 2, 3) is thrown once. The outcome of the throw determines how many times a fair coin is to be flipped: if N is the number that results from throwing the die, we flip the coin N times. Let K be the total number of heads resulting from the coin flips.
Answer:
Step-by-step explanation:
If
a
=
−
1
,
what is the value of the expression
3
−
a
(
8
−
2
a
)
?
−
7
− − 7
−
2
- 2
10
10
13
Evaluating an algebraic expression is the process of determining the value of an expression when a specified integer is used to replace a variable.
Explain about the expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)
An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) You can think of expressions as being comparable to phrases. A phrase in language may contain an action on its own, but it does not constitute a whole sentence.
In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). Terms comprise expressions.
To learn more about expression refer to:
https://brainly.com/question/723406
#SPJ2
what is 3.13 as a fraction
Answer:3.13/1
Step-by-step explanation:
Find the distance between ─14 and 5 on a number line.
Answer:
It is 19
Step-by-step explanation:
Can someone plz check this? Ik this is odd lol
Answer:
You're correct
Step-by-step explanation:
Have a good day :)
NOV 18, 8:23:07 AM
In a newspaper, it was reported that the number of yearly robberies in Springfield in
2011 was 75, and then went down by 4% in 2012. How many robberies were there in
Springfield in 2012?
72 is answer
as it got down by 4% every year
in 2011 it was 75 means in the next year it will be 75-(75*4/100) that is equal to 72
The robbery rate in year 2012 was 72.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100.
Given that in a city that robbery rate was 75 in 2011 was 75, and then went down by 4% in 2012.
We need to find the robbery rate of the city in 2012.
So, here went down means it decreased by 4%,
That mean, now the robbery rate will be (100-4) = 96% of 75.
Therefore, the robbery rate in year 2012 was =
0.96 x 75 = 72
Hence the robbery rate in year 2012 was 72.
Learn more about percentages click;
https://brainly.com/question/29306119
#SPJ2
当 1. Resuelas las seguintes multiplicación y divisiones (-5,55 ÷ 0,25)x (2,85)
Answer:
uno=dose
Step-by-step explanation:
surface area and volumes formula
Step-by-step explanation:
Surface area of what shape or solid ?
You use a line of best fit for a set of data to make a prediction about an unknown value. The correlation coefficient for your data set is 0.214. How confident can you be that your predicted value will be reasonably close to the actual value?
Answer Choices Below!:
Answer:
the correct answer is A.I can’t be confident at all; this is about as close to a random guess as you can get.
Step-by-step explanation:
hope this helps
Question
Express the inequality x > -1 using interval notation
Step-by-step explanation:
x > -1
x = {0,1,2,...}
[tex] \lang -1,+\infty \rang[/tex]
Use the substitution method to determine the solution type of the following system.
3y - 6x= 3
y = 2x + 1
a Infinitely many solutions
b (2,0)
c (3, -1)
d No solutions
The answer to this is C I think, I'm usually always correct so trust me k?
What is the name for two angles whose measures have the same sum as angle J and angle L?
Step-by-step explanation:
it is Supplementary Angles
In which order are the operations performed when solving for m in the follow equation? 3m + 8= 20 A) Subtract 8, divide by 3. B) Add 8, multiply by 3. C) Add 20, multiply by 3. D) Add 8, divide by 20.
Answer:
A
Step-by-step explanation:
3m+8=20
3m=20-8
3m=12
m=4
95-a(b+c) when a=9, b=3, c =7.4
Answer:
95-9 (3+7)
95-9 (10)
86 (10)
= 8600
Step-by-step explanation:
I hope this was helpful!
God bless you!
Roger completed a probability experiment with a coin. He flipped the coin 32 times, and it landed on tails eight times. He looked at the results of his experiment to determine the ratio of heads outcomes to tails outcomes.
The ratio of heads to tails in simplified form is
Answer:234
Step-by-step explanation:
rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr
PLEASE HELP ME!
The eighth-grade class at a grade school has 14 girls and 9 boys. How many different boy-girl dates can be arranged?
Answer:
126
Step-by-step explanation:
14 times 9
Identify the percent of change as an increase or a decrease. Then find the percent of change.
Original: 30
New: 51
You must provide the percent as well as if it is an increase or a decrease to receive credit for this question.
Answer:
70% increase
Step-by-step explanation:
51-30 = 21
21/30 = 0.7
0.7 x 100
pls i need help asap Solve the equation shown for x. 4(–x + 4) = 12 Enter your answer in the box. x =
Answer: 15
Step-by-step explanation:
casue
Answer:
x = 1
Lemme know if you need the steps.
Please mark brainliest if possible :)
Which congruence theorem can be used to prove
AMLQ = ANPQ?
O AAS
O SSS
O ASA
O SAS
Answer:
Step-by-step explanation:
first such theorem is the side-angle-side (SAS) theorem: If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent. Following this, there are corresponding angle-side-angle (ASA) and side-side-side (SSS) theorems.
Congruent shapes have equal corresponding sides and angles.
The congruence theorem that can be used to prove is SSS
[tex]\triangle MLQ \cong \triangle NPQ[/tex] means that, the triangles are congruent.
From the question, the following sides are congruent
ML and NP --- SideLQ and PQ --- SideMQ and NQ --- SideThe above highlights mean that the theorem can be used to prove that the triangles are congruent is SSS.
This is so, because all corresponding sides of both triangles are equal.
Read more about congruent triangles at:
https://brainly.com/question/11329400
Question: adding unlike fractions
3/7 + 3/21
Step-by-step explanation:
first, find a common denominator
3/7 = 9/21
3/21 stays the same.
then, add
9/21 + 3/21 = 12/21
and if possible, simplify
12 and 21 are both divisible by 3, so divide by 3.
12/3= 4, 21/3=7
so, 3/7 + 3/21 = 4/7
Answer:
4/7
Step-by-step explanation:
The fraction 3/21 can be simplified. The 3 divides 21 which 7, so the fraction can be written as 1 /7. Now, we just have:
3/7 + 1/7
We need to add the numerators to get one fraction:
4/7
7.
Write an equation for each translation of Y = |x| .
10.5 units left
A. y = | x – 10.5 |
B. y = | x | – 10.5
C. y = | x | + 10.5
D. y = | x + 10.5 |
Answer:
D. y = | x + 10.5 |
Step-by-step explanation:
The + inside of an absolute value equation really means -.
So there will be a horizontal shift left by 10.5 units.
Answer:
D. y = | x + 10.5 |
Step-by-step explanation:
We are given that,
The parent function is .
Now, the parent function is shifted 10.5 units to the left.
Since, shift of a function f(x) by 'k' units to the left changes the function to f(x+k).
So, the new function is given by .
Hence, option D is correct.
Which expression means "2 more than the quotient of a number and 3?
A. 2 + 3
B. - 2
C. 3x + 2
D. 3 +2
No links plsss and look at the
Photo
Answer:
A
Step-by-step explanation:
Please help me on part b
Answer:
0.859493
0.859
Hope This Helps!!!
