Answers
Related Questions
Solve each equation algebraically. Show work. #1,#4,and #6
Answers
Answer:
In order to solve these, you must combine your variable terms and move them till they are isolated from your constants. Divide until the variable is alone on one side.
Answer:
1. 7
Step-by-step explanation:
1. 8y= 37+ 35
Subtract 3y from both sides of the equation:
8y - 3y = 3y + 35 - 3y
simplify:
combine like terms
than combine like terms again
5y= 35
Divide both sides of the equations by the same term:
5y = 35
[tex]\frac{5y}{5} = \frac{35}{5}[/tex]
simplify:
cancel terms that are in both the numberator and denominator
divide numbers
7
Which of the following best describes the relationship between (x + 2) and
the polynomial 3x2 - x - 14?
A. It is impossible to tell whether (x + 2) is a factor.
B. (x + 2) is not a factor.
C. (x + 2) is a factor.
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The factor theorem indicates that the expression (x + 2) is a factor of the polynomial, f(x) = 2·x² - x - 14, because, f(-2) = 0, the correct option is option C.
C. (x + 2) is a factor.
What is the factor theorem?The factor theorem, which is a unique example of the remainder theorem, indicates that the link between the factors and the zeros of the polynomial, such that (x - α) is a factor of the polynomial f(x), if and only if we get f(α) = 0.
The polynomial is; 3·x² - x - 14, the expression is; (x + 2)
The factor theorem indicates that we get, (x - a) is a factor of the polynomial of nth degree, where, n ≥ 1, if f(a) = 0
Whereby the polynomial is expressed as f(x) = 3·x² - x - 14 = 0, we get;
(x + 2), is a factor of the polynomial, according to the factor theorem, if we get, f(-2) = 0
Plugging in x = -2, in the polynomial, we get;
f(-2) = 3×(-2)² - (-2) - 14 = 0
Therefore, (x + 2) is a factor of the polynomial
The correct option is therefore;
C. (x + 2) is a factor
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The monomial (x + 2) is a factor of the polynomial, the correct option is C.
How to find the relation?We want to find the relationship between (x + 2) and the polynomial:
P(x) = 3x^2 - x - 14
The monomial (x + 2) will be a factor of the polynomial only if x = -2 is a zero of the polynomial, so let's check that.
P(-2) = 3*(-2)^2 - (-2) - 14
P(-2) = 3*4 + 2 - 14 = 0
So -2 is a zero of the polynomial, then we the monomial (x + 2) is a factor of the polynomial.
The correct option is C.
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-4(x + 3) = -12 - 4x
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Answer:
4x+12=12+4x
16x=16x
0=0
prove 0=0
Find the distance between the two points in simplest radical form.
(4, -3) and (-1, -9)
Answers
Answer:
[tex]\sqrt{61}[/tex]
OR
7.81024967591
Evaluate the following expression when t= 2 .
t² – 44 - 4
Help please
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Answer:
-44
Step-by-step explanation:
So you want to plug 2 in for t, so the equation should now look like:
[tex]2^{2}[/tex] - 44 - 4
No all you have to do is solve
[tex]2^{2}[/tex] = 4
4 - 44 = -40
-40 - 4 = -44
Answer:
-44
Step-by-step explanation:
t=2, t² - 44 - 4
1. substitute in the value to the variable: 2² - 44 - 4
2. using PEMDAS, solve the equation: 2² - 44 - 4 = 4-44-4 = -40-4= -44
(evaluate the exponent, then subtract)
What are the y-intercept and the x-intercept:
y=4x-4
Answers
Answer:
X=1
Step-by-step explanation:
0=4x-4
-4x=-4
-4x/-4=-4/-4
x=1
y = 4(0)-4
y = 0-4
y = -4
the y intercept is -4
to find the x intercept, do the same thing but with y (set y to 0)to get:
0 = 4x - 4
4x = 4
x = 1
the x intercept is 1
Mario is walking away from a motion detector at a rate of 1.5 feet per second. He started recording his distance from the motion detector when he was 2 feet in front of the motion detector. Fill in the blank in the sentence below. Mario is 11 feet from the motion detector at ____ a seconds
Answers
Answer:
6 seconds
Step-by-step explanation:
Initial distance of Mario from motion detector = 2 ft
Speed of Mario = 1.5 ft/sec
Total distance of Mario from motion detector = 11 ft
Total distance moved by Mario while walking at the rate of 1.5 ft/sec = 11 - 2 = 9 ft
Given that:
Distance = 9 ft
Speed = 1.5 ft/sec
Formula:
[tex]Distance = Speed \times Time[/tex]
[tex]\Rightarrow 9 =1.5 \times Time\\\Rightarrow Time = \dfrac{9}{1.5}\\\Rightarrow Time = \bold{6\ sec}[/tex]
So, at 6 seconds, Mario will be 11 ft from the motion detector.
What is the common difference of the sequence below?
-7, -11, -15, -19, ...
a) d = 4
Go to station 3
Go to station 7
b) d = 5
|
c) d= -4
Go to station 5
d) d = -5
Go to station 9
Answers
Answer:83999955 because of the gravity
Step-by-step explanation:
Find missing measures
Answers
T=72
U=54
Explain
The interior angles of a triangle equal 180 and because two of the sides were equal I knew that the angles across from each other are the same
This is urgent, please help
Answers
Answer:
slope: 1/4
y-intercept: (0,-0.5)
y=1/4x-0.5
Step-by-step explanation:
d = 5x + 10xf solve literal equation for x
Answers
Answer:
[tex]x=\dfrac{d}{(5+10f)}[/tex]
Step-by-step explanation:
The given equation is :
d = 5x + 10xf
We need to solve the above equation for x.
Taking x common from RHS,
d=x(5+10f)
Dividing both sides by (5+10f),
[tex]x=\dfrac{d}{(5+10f)}[/tex]
Hence, this is the required value of x.
Simplify x^2+3x-10/x^2-25
Answers
Answer:
3x -10 / -25
Step-by-step explanation:
cancel off the x²
2) Simplify the rational expression. *
2y2-3y-14
y+2
Answers
Answer:
2-17y
Step-by-step explanation:
A recipe calls for 2 tablespoons of seasoning for every 7 pieces of chicken. For the family picnic, Joel is making 84 pieces of chicken. How many tablespoons of seasoning does he need.
1. 14
2. 24
3. 12
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Answer:
2. it will be 24 tablespoons
Determine whether the lines are parallel.
A.yes
B.no
Answers
Answer:
Yes
Step-by-step explanation:
The lines never intersect (cross)
What is (-2,-10) over the x-axis
Answers
Find the coordinates of the midpoint of the segment whose endpoints are H(7,8) and (9,14)
Answers
Answer:
(8, 11)Step-by-step explanation:
Given points
(7,8) and (9,14)Midpoint is
((7 + 9)/2, (8 + 14)/2) =(16/2, 22/2) = (8, 11)I need to know the letter order these go in
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find the measure of an interior angle of a regular polygon that has 10 sides
Answers
Answer:
Each angle would be equal to 36 degrees.
Step-by-step explanation:
If you take 360 degrees for a polygon and split it up into ten angles you get 36 degrees per angle.
Solve for x: 5(x + 3) = 4(x − 3) plz need help fast
Answers
Answer:
The answer is either5x+3 = 4x-3
Answer:
x = -27
Step-by-step explanation:
5 ( x + 3 ) = 4 ( x - 3 )
5 times x, 5 times 3, 4 times x, 4 times -3 =
5x +15 = 4x -12
Subtract 15
5x +15 -15 = 4x -12 -15=
5x = 4x -27
Subtract 4x
5x -4x = 4x -4x -27 =
1x = -27
Divide
1x/1 = -27/1 =
x = -27
Thirteen students in a statistics class were asked how many siblings they have. Their responses are listed below,
0, 1, 2, 3,3,3,3,3,3,3,5,5, 6
Which of the following is the five-number summary for the data?
O 0,3,3,3,6
O 0,3,3,4,6
O 0,2.5, 3, 3, 6
O 0,2.5, 3, 4,6
Answers
Answer:
c
Step-by-step explanation:
good luck
The five-number summary for the data set is= 0,2.5, 3, 4,6.
What is five-number summary?The five-number summary includes the following
The minimum: The minimum which is the smallest is 0.Q1 (the first quartile, or the 25% mark):(0, 1, 2, 3,3,3,)3,(3,3,3,5,5,6)
Q1 = 2+3/2 = 5/2 = 2.5
The median: The median is 3 which is the number at the middle after being arranged from the lowest to the highest number.Q3 (the third quartile, or the 75% mark):(0, 1, 2, 3,3,3,)3,(3,3,3,5,5,6)
3+5/2= 8/2 = 4
The maximum: The maximum number which is the highest number is 6.
Therefore, the five-number summary of the data set=
0,2.5, 3, 4,6.
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A jar contains 2 red marbles, 3 blue marbles, and 1 green marble. What is the probability selecting a green marble?
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Question Help
5.2.36-T
When purchasing bulk orders of batteries, a toy manufacturer uses this acceptance sampling plan: Randomly select and test 41 batteries and determine whether each is within specifications. The entire shipment is
accepted if at most 3 batteries do not meet specifications. A shipment contains 7000 batteries, and 3% of them do not meet specifications. What is the probability that this whole shipment will be accepted? Will almost
all such shipments be accepted, or will many be rejected?
The probability that this whole shipment will be accepted is 0.9660
(Round to four decimal places as needed)
The company will accept 96.6 % of the shipments and will reject 34% of the shipments, so almost all of the shipments will be accepted
(Round to two decimal places as needed.)
Answers
Answer:
Probability that the whole shipment will be accepted = 0.9660
96.60% of the shipment will be accepted
Almost all the shipments will be accepted
Step-by-step explanation:
We are given;
n = 41
p = 3% = 0.03
x = 3
This is a binomial probability question and we will use the formula;
P(X = x) = [n!/(x!(n - x)!)] × p^(x) × (1 - p)^(n - x)
The probability that the whole shipment will be accepted is given by the form;
P(X ≤ 3) = P(0) + P(1) + P(2) + P(3)
P(3) = [41!/(3!(41 - 3)!)] × 0.03³ × (1 - 0.03)^(41 - 3)
P(3) = 0.09046
P(2) = [41!/(2!(41 - 2)!)] × 0.03² × (1 - 0.03)^(41 - 2)
P(2) = 0.22496
P(1) = [41!/(1!(41 - 1)!)] × 0.03¹ × (1 - 0.03)^(41 - 1)
P(1) = 0.36373
P(0) = [41!/(1!(41 - 0)!)] × 0.03^(0) × (1 - 0.03)^(41 - 0)
P(0) = 0.28684
Thus;
P(X ≤ 3) = 0.28684 + 0.36373 + 0.22496 + 0.09046
P(X ≤ 3) = 0.96599 ≈ 0.9660
It means that 96.60% will be accepted
Solve for u.
140-u= 232
Answers
Answer:
u=90
Step-by-step explanation:
Answer:
-92
Step-by-step explanation:
first you subtract 140 from 232 and that gies you
-u=92
then you divide by negitive 1
What is the solution to the equation 1/3(x-2) = 1/5(x+4) + 2?
O x= 12
O x = 14
O x = 16
O x= 26
Answers
Answer:
x=26
Step-by-step explanation:
1/3(x-2)=1/5(x+4)+2
x-2=3/5x+42/5
5x-10=3x+42
5x-3x-10=42
5x-3=42+10
2x=42+10
2x=52
x=26
The quotient of h and 4 is 5 less than h
Answers
Answer:
h/4=h-5
Step-by-step explanation:
quotient means divide
less means subtract
is means equal
4 × (1,351 - 381)
Which of the following is true about the expression above?
A.
The given expression is 4 more than (1,351 - 381).
B.
The given expression is 4 times as large as (1,351 - 381).
C.
The given expression is 4 times smaller than (1,351 - 381).
D.
The given expression is 4 less than (1,351 - 381).
Answers
Answer:
B
Step-by-step explanation:
The multiplication symbol is often referred to as "____ times as large" when written in text form
Which is NOT a key point for shooting with power? A. Plant foot pointed at your target
B. Land on your kicking foot C. Keep your eyes on the goal D. Ankle locked, toe down, use laces
Answers
Answer:
C
Step-by-step explanation:
don't keep your eyes on the goal cause if you do that something is wrong
What is the distance between the points F(-3,8) and G(4,5)?
Answers
Answer:
6.7
Step-by-step explanation:
Answer:
it was 7.6
Step-by-step explanation:
i did the test
HELLLPPPPP HURRY PLLEEAASEEEE.
Use place value and the distributive property to match each multiplication expression with an equal
Answers
Answer:
this is it
Step-by-step explanation:
edge 2021