Answers
Answer:
(a) P(1) = 3
(b) P(-2) = 15
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
P(x) = x³ + 4x² - 3x + 1
P(1) is x = 1
P(-2) is x = -2
Step 2: Evaluate
P(1)
Substitute: P(1) = 1³ + 4(1)² - 3(1) + 1Exponents: P(1) = 1 + 4(1) - 3(1) + 1Multiply: P(1) = 1 + 4 - 3 + 1Add: P(1) = 5 - 3 + 1Subtract: P(1) = 2 + 1Add: P(1) = 3P(-2)
Substitute: P(-2) = (-2)³ + 4(-2)² - 3(-2) + 1Exponents: P(-2) = -8 + 4(4) - 3(-2) + 1Multiply: P(-2) = -8 + 16 + 6 + 1Add: P(-2) = 8 + 6 + 1Add: P(-2) = 14 + 1Add: P(-2) = 15Answer:
a) 3b) 15Step-by-step explanation:
GivenP(x) = x³ + 4x² - 3x + 1Finda) P( 1 ), b) P( - 2)SolutionSubstitute the value of x:
a) P(x) = x³ + 4x² - 3x + 1
P(1) = 1³ + 4(1)² - 3(1) + 1 = 1 + 4 - 3 + 1 = 3P(1) = 3b) P(x) = x³ + 4x² - 3x + 1
P(-2) = (-2)³ + 4(-2)² - 3(-2) + 1 = -8 + 16 + 6 + 1 = 15P(-2) = 15Related Questions
What do you call the set of points after you apply the transformation?
Answers
Answer:
The "prime"
Edit: the "prime" is specifically the tic mark that you have to do after a transformation, so there are many names, but my teacher taught me that "prime" is a good way.
Step-by-step explanation:
Answer:
A transformation is a change in the position, size, or shape of a geometric figure. The given figure is called the preimage (original) and the resulting figure is called the new image.
plz help lol thx.....
Answers
Answer:
C
Step-by-step explanation:
the domain is the set of numbers that can be x values. in this case, the equation is linear so any number you plug in for x will give you a y value
A mixture of orange paint contains 8 teaspoons of red paint and 12 teaspoons of yellow paint. To make the same shade of orange paint using 18 teaspoons of red paint, how much yellow paint would you need?
Answers
Answer:
27 spoons of yellow paint
Step-by-step explanation:
Red paint : Yellow paint = 8 : 12
Let 'x' be the number of spoons of yellow paint.
8 : 12 :: 18 : x
Product of extremes = Product of means
8 * x = 12 * 18
[tex]x = \frac{12*18}{8}[/tex]
x = 3 *9
x = 27 spoons
Answer:27 is awser
Step-by-step explanation:
Which line is parallel to the graph of the line y=−23x−5?
Answers
Y = -23x
Are there any choices?
Write a linear inequality to represent the information given. The total fees for the high school play are
$280. Tickets to the play cost $5 for students and $9 for nonstudents. Write a linear inequality that
describes the number of student and nonstudent tickets that need to be sold for the drama class to be.
able to pay the fees. Let x represent the number of student tickets and let y represent the number of
nonstudent tickets.
Answers
Answer:
280 (less than or equal to) 5x + 9y
Step-by-step explanation:
X = students ($5 each)
Y = Non-students ($9 each)
This must add up to greater than( or equal to) $280 in order for taxes to be paid
10. need help with this question-percentages and proof
Answers
Answer:
the value increased by0.0388
Step-by-step explanation
4% - 3% equals 0.0388 becuase its the diffrence between them is 0.0388
Identify examples and non-examples of the standars form of a linear function.
Please help I will give brainliest!
Answers
Answer:
[see below]
Step-by-step explanation:
Standard Form Is:
[tex]Ax+By=C[/tex]
C is a constant, where A and B would be coefficients.
Using the standard form equation, below would be examples of a standard
form equation.
[tex]5x-3y=9\\\\2x+3y=0\\\\x+y=1\\\\[/tex]
All others would be non-examples since they are not in standard form.
Hope this helps.
Please help me with this also if you may, Tell me how you got what you got. Worth a lot of points :)
Answers
Answer
Step-by-step explanation:
i need the form of opperations what are you doing? standard form algerbraic roots with mixed fractions?
The
of a nonvertical line passing through two points is the ratio of the rise to the run.
Answers
Answer: Slope
Step-by-step explanation:
Slope is rise over run. It can be calculated by dividing the change in y (rise) over the change in x (run).
The slope of a non vertical line passing through two points is the ratio of the rise to the run.
What is slope of a line?
The slope of a line is a measurement of its steepness and direction.The slope of a line formula computes the "vertical change" to "horizontal change" ratio between two distinct points along a line.
1. Slope of Parallel Lines :
A set of parallel lines always has the same inclination angle. Assume we possess two parallel lines l1 and l2 in the reference plane, inclined at angles θ1 and θ2 with the x-axis, respectively, such that the, θ2 = θ1.
m1 = m2
Therefore, the slopes of the two given parallel lines are equal.
2. Slope of Perpendicular Lines :
A pair of perpendicular lines always form a 90° angle. Imagine we have two perpendicular lines l2 and l1 in the coordinate plane, inclined at angles θ1 and θ2 with the x-axis, respectively, so that the provided angles follow the external angle theorem, θ2 = θ1 + 90°
m₁ = tan θ₁
m₂ = tan (θ₁ + 90º) = - cot θ₁
m₁ × m₂ = -1
Therefore, the product of slopes of two given perpendicular lines is equal to -1
Hence , The slope of a non vertical line passing through two points is the ratio of the rise to the run.
To know more about the slopes click :
https://brainly.com/question/26446772
#SPJ2
What is 55 divided by 32
Answers
Answer:
1.71875
Step-by-step explanation:
Answer:
1.72 (rounded to the nearest hundredth)
Step-by-step explanation:
The day you were born your parents invested $5,000 in CD account (Certificate of Deposit).
The account pays 0.88% annual interest rate. How much money will be in your account by
your high school graduation (18 years)?
Plz help. I need an answer and explanation step by step plz
Answers
Answer:
You will have $5,792 in your account by your high school graduation
Step-by-step explanation:
Simple Interest
Interest calculated on the original principal only of a loan or on the balance of an account.
Unlike compound interest where the interest earned in the compounding periods is added to the new principal, simple interest only considers the principal to calculate the interest.
The interest earned is calculated as follows:
I=P.r.t
Where:
I = Interest
P = initial principal balance
r = interest rate
t = time
The parents invested P = $5,000 in CD account that pays r=0.88% annual interest rate. The rate must be converted to decimal, thus r=0.88/100 =0.0088.
We are required to calculate the total money in the account after t=18 years.
First, we calculate the interest:
I = $5,000 * 0.0088 * 18
I = $792
Adding interest to the principal, we have the future balance in the account:
A = $5,000 + $792 = $5,792
You will have $5,792 in your account by your high school graduation
Alyn drives 20.4 miles in 17 minutes.
He passes a sign which gives the speed limit as 60 mph.
By how much, in mph, did Alyn's average speed exceed the speed limit?
Answers
Answer:
12 mphStep-by-step explanation:
Speed = distance/time
Distance = 20.4 milesTime = 17 minutes = 17*1/60 hours = 17/60 hoursSpeed is:
20.4 : 17/60 =20.4*60/17 =72 mphAlyn exceeded the limit by:
72 - 60 = 12 mphPLEASE HELP! (don't graph, give me the coordinates and i will graph myself)
Answers
Answer:
(-2,0) (0,-3)
Step-by-step explanation:
In the equation y=1/2x-3, what is the y-intercept? *
1
-3
Ο Ο Ο
In the equation y=1/3x+2, what is the slope? *
1
Ο 2
Ο Ο Ο Ο
1/3
need help asap
Answers
Second one is 1
Answer:
first one should be -3
and second one is 1
Step-by-step explanation:
Estimate 0.00001377 as the product of a single digit number times a power of 10.
Answers
Answer:
1.377*10^-5
Step-by-step explanation:
I'm not sure what you want, but I think you need it in scientific notation.
1.377*10^-5
The length of the garden is 10 feet more than twice its width. The perimeter of the garden is 170 feet.
What are the length and width of the garden?
Answers
Answer:
Width is 25 ft
length is 60 ft
Step-by-step explanation:
Here, we want to calculate the length and width of the garden
From the question, we are told that the length is 10 ft more than twice its width
So if the width is x ft
Length = 2x + 10
Mathematically, the perimeter of a rectangle i s 2(l + b)
So;
2(x + 2x + 10) = 170
2(3x + 10) = 170
3x + 10 = 85
3x = 85-10
3x = 75
x = 75/3
x = 25 ft
length is;
2(25) + 10 = 50 + 10 = 60 ft
PLEASE HELP ME!!!!!!!
Slowhan decides to play a very fun game. He starts off with his favorite
odd integer. For every turn, Slowhan will either add 1 or subtract 1 to his current number.
What is the probability that after 11 turns, the resulting number will be odd?
Answers
Answer:
Answer is even on the 11th turn unless Slowhan is allowed to skip a turn.
Step-by-step explanation:
If you add or subtract every turn then every turn will always be the opposite of the last turn, so, it would be.
odd is 0
1 = even
2 = odd (You've seen here that every even numbers of turns how answer will be odd and when it is an odd number of turns it will be even)
3 = even
4 = odd
5 = even
6 = odd
7 = even
8 = odd
9 = even
10 = odd
11 = even
I WILL MARK YOU BRAINLIEST IF YOU EXPLAIN TO ME HOW TO DO IT
Answers
Answer:
Step 1: Draw the points TUVW using the given coordinates (you already did T).
Step 2: For the reflection, in each coordinate replace the x coordinate with -x. E.g., T becomes T' (6,1). Reflection in y axis means the x coordinates swap their sign.
Step 3: Draw the reflected rectangle T'U'V'W'.
Step 4: Replace each coordinate of step 3 with x-5 and y+7, e.g., T' becomes T'' (1, 8)
Step 5: Draw T''U''V''W''
Answer:
see explanation
Step-by-step explanation:
(a)
Under a reflection in the y- axis
a point (x, y ) → (- x, y ) , thus
T(- 6, 1 ) → T'(6, 1 )
U(- 1, 0 ) → (1, 0 )
V(- 2, - 5 ) → V'(2, - 5 )
W(- 7, - 4 ) → W'(7, - 4 )
(b)
The translation rule (x, y ) → (x - 5, y + 7 ) means
Subtract 5 from the original x- coordinate and add 7 to the original y- coordinate, that is
T(- 6, 1 ) → T'(- 6 - 5, 1 + 7 ) → T'(- 11, 8 )
U(- 1, 0 ) → U'(- 1 - 5, 0 + 7 ) → U'(- 6, 7 )
V(- 2, - 5 ) → V'(- 2 - 5, - 5 + 7 ) → V'(- 7, 2 )
W(- 7, - 4 ) → W'(- 7 - 5, - 4 + 7 ) → W'(- 12, 3 )
Which is a simplified form of the expression -(z + 1) + 2(z – 2)?
A. -z – 5
B. 3z – 3
C. z – 5
D. 2z – 5
Answers
Somebody help me... cause idk
Answers
Answer:
c
Step-by-step explanation:
Explanation:
John works 20 hours per week at a part-time job. His original pay rate was $10.50
per hour, but he recently received a pay cut of x dollars per hour for being late to
work too many times. His total weekly pay, y, is represented by the equation
y=20(10.50-x).
If John's earned $160 for the week, what was the amount of his pay cut?
$1.50
$2.50
$2.00
$1.00
Answers
Answer:
2.50$
Step-by-step explanation:
y=20(10.50-x).
160 = 20 (10.50-x)
160 = 210 - x
160 - 210 = -x
-50 = -x
50 = x
50$ Is the total per week, divided by the number of hours 20. You’ll have the cut per hour.
50/20 = 2.50
Answer:
x = $2.50
Step-by-step explanation:
y = 20(10.5 - x)
$160 = 20(10.5 - x ) {use distributive property}
160 = (20*10.5) - (20*x)
160 = 210 - 20x {Add 20x to both sides}
160 +20x = 210 {Subtract 160 from both sides}
20x = 210 - 160
20x = 50
x = 50/20
x = $2.50
How can the triangles be proven similar by the SAS
similarity theorem?
Answers
Answer:
hope it helps..
Step-by-step explanation:
In SAS similarity theorem if two sides of one triangle are proportional to two sides of another triangle and angle between them are congruent then the triangle are similar.
what is 10 times as much as 0.4
Answers
Answer:
4
Step-by-step explanation:
0.4*10=4
3. What is the Constitution's Nickname?
Step-by-step explanation:
old ironsides
Somebody help this is all I need for today
Answers
Answer:
Somebody help this is all I need for today
Step-by-step explanation:
Choose the words to fill in the blank, which best complete the sentence.
An abstract painting of dark zigzag lines.
The piece above is called, The Portuguese, by Georges Braque. Braque used zigzag lines as his primary element in this piece, in order to suggest _____(1)_____ and _____(2)_____.
a.
(1) confusion; (2) action
b.
(1) depth; (2) vibrancy
c.
(1) dimension; (2) form
d.
(1) mood; (2) direction
evanmanley avatar
These r the answers
Jalil and Victoria are each asked to solve the equation ax – c = bx + d for x. Jalil says it is not possible to isolate x because each x has a different unknown coefficient. Victoria believes there is a solution, and shows Jalil her work:
ax – c = bx + d
ax – bx = d + c
x (a – b) = d + c
x = x equals StartFraction d plus c Over a minus b EndFraction.
How can Victoria justify Step 3 of her work?
Rewrite the expression on the left using the distributive property.
Multiply both sides by x.
Rewrite the expression on the left using subtraction.
Divide both sides by x.
Answers
rewrite the expression on the left using the distributive property.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Rewrite the expression on the left using distributive property.
En un colegio hay 315 alumnos de los cuales 1/3 son mujeres y el resto hombres. 2/7 de los hombres juegan al fútbol y el resto al baloncesto. ¿Cuántos hombres juegan al baloncesto?
Answers
Answer:
150 hombres juegan baloncesto.
Step-by-step explanation:
En una escuela hay 315 alumnos de los cuales 1/3 son mujeres y el resto son hombres.
Paso 1
Encontramos el número de estudiantes que son mujeres
= 1/3 × 315
= 105 mujeres.
Se nos dice que el resto son hombres. Por lo tanto, el número de hombres que son estudiantes se da como:
= 315 - 105 mujeres
= 210 hombres
Paso 2
2/7 de los hombres juegan fútbol y el resto baloncesto.
Esto significa que 2/7 de 210 hombres juegan al fútbol
= 2/7 × 210 hombres
= 60 hombres
Por tanto, 60 hombres juegan al fútbol.
Paso 3
También se nos dice que el resto juega al baloncesto.
El número de hombres que juegan baloncesto se calcula como:
210 - 60
= 150 hombres.
Por tanto, 150 hombres juegan baloncesto.
Brad buys two packages of mushrooms. He paid $11.25 for 2/3 lb of Cremini mushrooms and $7.99 for 1/2 lb of Chanterelle mushrooms. Which mushroom cost less per pound?
A. Cremini mushrooms cost less by $0.10
B. Chanterelle mushrooms cost less by $0.10
C. Chanterelle mushrooms cost less by $0.90
D. Cremini mushrooms cost less by $0.90
Answers
I think the answer is B if you ask me
Answer:
C. Chanterelle mushrooms cost less by $0.90 is correct.
Step-by-step explanation:
1. For the Cremini mushrooms, we know it costs $11.25 for 2/3 lb. So, let's divide this amount by 2 to get the amount of money per 1/3 lb of Cremini mushrooms.
11.25 ÷ 2 = 5.63 when rounded to the nearest cent.
Now, let's multiply this by 3 to get the price of 1 lb of Cremini mushrooms.
5.63 x 3 = 16.89
Therefore, 1 pound of Cremini mushroom is $16.89.
2. For the Chanterelle mushrooms, we know that it cost $7.99 for 1/2 lb. So, let's multiply this amount by 2 to get the price per pound.
7.99 x 2 = $15.98
Therefore, 1 pound of Chanterelle mushroom is $15.98.
3. To find the difference between two prices, subtract the price of the smaller quantity (Chanterelle mushroom) from the larger quantity (Cremini mushroom.)
16.89 - 15.98 = $0.91
Even though this answer doesn't match with the exact answer, because we rounded to the nearest cent, we can agree that C. is correct.
In a recent survey, people were asked if they had a digital camera at
home. Six people had digital cameras, this was 30% of the total number
of people surveyed. How many people were surveyed?
Answers
Answer:
20 people
Step-by-step explanation:
if 6 ppl 30%
then the 100% equals to
6 × 100% ÷ 30% = 20 ppl
Answer:
20 ppl
Step-by-step explanation:
The variables x and y are related proportionally. When
x = 2,
y = 5.
Find y when
x = 26.
When x = 10 , y =
Answers
Answer: When x=26, y=45
Whenx=10, y=25
Jeremiah answers 90% of the questions on his test correctly. There are 40 questions on the test. Correct Test Questions 10% 10% 10% 10% 10% 10% 10% 10% 10% 10% StartFraction 1 over 10 EndFraction StartFraction 1 over 10 EndFraction StartFraction 1 over 10 EndFraction StartFraction 1 over 10 EndFraction StartFraction 1 over 10 EndFraction StartFraction 1 over 10 EndFraction StartFraction 1 over 10 EndFraction StartFraction 1 over 10 EndFraction StartFraction 1 over 10 EndFraction StartFraction 1 over 10 EndFraction 4 4 4 4 4 4 4 4 4 4 Jeremiah writes the expression
Answers
Answer:
(40 minus StartFraction 1 over 10 EndFraction) times 40 or D
Step-by-step explanation: