Answer:
D. (x-3)(x^2 + 4x - 5)
Step-by-step explanation:
P(x) = x³ + x² - 17x + 15 can be written as (x - 3) (x² + 4x - 5) as a product of two factors.
What is Polynomials?Polynomials are expressions in algebra which consist of variables, constants and exponents combined using the basic operations in mathematics like addition, subtraction, multiplication and division.
Polynomials can be classified as monomials, binomials and trinomials depending on the degree of the variables as 1, 2 and 3 respectively.
The given polynomial is P(x) = x³ + x² - 17x + 15.
We already have x - 3 is the factor of this polynomial.
To get the other factor which is a binomial, we have to divide the given polynomial with x - 3.
On dividing, we get x² + 4x - 5 as the quotient and remainder equals zero.
So x² + 4x - 5 is the other factor of the given polynomial.
Hence, the polynomial P(x) = x³ + x² - 17x + 15 can be written as (x - 3) (x² + 4x - 5) as a product of two factors.
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Plz help my teacher isn’t emailing my back
Answer:
ugh'
Step-by-step explanation:
12 and 4 i could be wrong sozStep-by-step explanation:
The trail around Mirror Lake in Yosemite National Park is 5 miles long. 9. What fraction describes how much more of the trail Jon hiked than Andrea hiked? 10. What fraction describes how much more of the trail Callie hiked than Jon hiked?
This question is incomplete
Complete Question:
The trail around Mirror Lake in Yosemite National Park is 5 miles long.
The tables below show the fraction of miles each hiked:
Hiker Fraction of miles hiked
Andrea 2/5
Jon 1/2
Callie 4/5
9. What fraction describes how much more of the trail Jon hiked than Andrea hiked?
10. What fraction describes how much more of the trail Callie hiked than Jon hiked?
Answer:
9. 1/10
10. 3/10
Step-by-step explanation:
9. What fraction describes how much more of the trail Jon hiked than Andrea hiked?
This is calculated as the number of miles Jon hiked - The number of miles Andrea hiked
1/2 - 2/5
= The Lowest Common Denominator is 10
= [(5 × 1) - (2 × 2)] /10
= [5 - 4] /10
= 1/10
The fraction that describes how much more of the trail Jon hiked than Andrea hiked is 1/10
10. What fraction describes how much more of the trail Callie hiked than Jon hiked?
This is calculated as the number of miles Callie hiked - The number of miles Jon hiked
4/5 - 1/2
= The Lowest Common Denominator is 10
= [(4 × 2) - (1 × 5)] /10
= [8 - 5] /10
= 3/10
The fraction describes how much more of the trail Callie hiked than Jon hiked is 3/10
HELP ME PLEASE!!!!!!
Read the excerpt from The Monsters Are Due on Maple Street.
56. TRACK SHOT – STEVE 56.
From several yards down as he walks down the steps of his porch, walks down the street over to Les Goodman's house and then stops at the foot of the steps.
57. REVERSE ANGLE – LOOKING TOWARD SCREEN DOOR 57.
Goodman stands there, his wife behind him very frightened.
GOODMAN
Just stay right where you are, Steve. We don't want any trouble but this time if anybody sets foot on my porch that's what they're going to get—trouble!
Based on Goodman’s reaction to Steve, what will most likely happen next?
Les and Steve will have a heated argument.
Everyone in the neighborhood will go home.
The anger and fear among the neighbors will increase.
Les will turn out to be an alien invader in disguise.
Answer:
C. the anger among the neighbors will increase
Step-by-step explanation:
i got 100 on my quiz
Answer:
C) The anger and fear among the neighbors will increase
Step-by-step explanation:
Based on the evidence in the excerpt, what will most likely happen next. A) The crowd will turn against Steve, believing he is an alien in disguise.Which of the excerpts from The Monsters Are Due on Maple Street is an example of foreshadowing? A)“Where is Pete Van Horn anyway? Didn't he get back yet?”Which of the excerpts from The Monsters Are Due on Maple Street best foreshadows that the residents of Maple Street will turn against Les Goodman? B)“He always was an odd ball. Him and his whole family. Real odd ball.”Based on Goodman’s reaction to Steve, what will most likely happen next? C) The anger and fear among the neighbors will increase.Based on Steve’s actions in the first part of The Monsters Are Due on Maple Street, readers may have predicted that Steve would continue being the town’s leader during the power outage. How should readers revise this prediction after Don asks Steve about his radio? C)Readers should now predict that Steve will no longer be in charge.Which excerpt from The Monsters Are Due on Maple Street best foreshadows the idea that the residents of Maple Street are becoming a dangerous mob? A) The crowd picks this up again and with it their suspicions come back with a rush. The murmur becomes a loud chant filling the air with accusations and demands for action. Two of the men pass Don right up the steps. Goodman flattens himself against the screen door.The writer of this excerpt uses D)indirect characterization to show that Les Goodman is nervous.What do Don’s words suggest about him? C)Don is suspicious of Les Goodman.What do Steve’s reactions to Mrs. Goodman and Charlie show the reader about Steve? D) Steve is sensible and unafraid.How does Woman One’s claim about Les Goodman affect other elements in the story? B)The neighbors become even more suspicious of Les Goodman.In Siberia, a record high temperature of 98 F has been reported. The record low temperature is 192 degrees lower than the record high temperature. What was the coldest Siberia temperature?
Answer:
Lo: - 94o F
Step-by-step explanation:
Hi: 98oF
Difference: 192 degrees lower
Low: ?
Formula
98 - 192 = -94
That seems incredibly cold. I've lived through a day that was - 60oF and that was enough. (about - 51o C)
If you think in Celcius
The formula is
C = 5/9(F - 32)
C = 5/9 (-94 - 32)
C = 5/9 (-126)
C = -60
I think Siberia must be much colder than -60.
"If f(x) = 6x3 + 5x, g(x) = 3x2 + 5, and h(x) = 9x2 – 8, what is the degree of f(g(h(x)))?"
2
3
7
12
Answer:
the degree of f(g(h(x))) is 12
Step-by-step explanation: I know you want simple and easy answers and thats what im here for, . :D
Answer:
D. 12
Step-by-step explanation:
Edge 2020
Does anyone know how to solve this (4-7i) - (-3+6i) ?
Step-by-step explanation:
(4-7i)-(-3+6i)
4-7i+3-6i
7-13i(simplified)
Answer:
7-13i
Step-by-step explanation:
(4-7i) - (-3+6i)
4-(-3)+(-7-6)i
7-13i
Which problem can be solved using the equation shown?
Answer: The first one :)
Step-by-step explanation:
HELP ASAAAAAP EXPLAIIINNN
Answer:
dhdhrjfidgegehfr fhfn fhc fn dncc c. f byn
Step-by-step explanation:
h(t) = -16t² + 64t + 32
When h(t) = 80, -16t² + 64t + 32 = 80.
=> 16t² - 64t + 48 = 0
=> t² - 4t + 3 = 0
=> (t - 1)(t - 3) = 0
=> t = 1 or t = 3.
Hence the difference between the times is 2 seconds. (B)
a football was selling for 35% off the original price. the original price was $50. what is the sale price of the football?
Answer:
Concept: Mathematical Analysis
Original: 50 usd Markdown: 30% Hence 50 × 0.30 =15 usdSo the sale price is 35 usdThe data show the number of viewers for television stars with certain salaries. Find the regression equation, letting salary be the independent (x) variable. Find the best predicted number of viewers for a television star with a salary of $33 million. Is the result close to the actual number of viewers, 3.03.0 million? Use a significance level of 0.05.
Answer:
y = 5.064 - 0.010x
Here, in this question x = 33
y = 4.734 million views
In this question data is missing and I filled it out and calculated the questions accordingly. Please refer to the attachment for the data calculated.
Step-by-step explanation:
First of all, this question is incomplete. It lacks the data needed to calculate the required things.
So, I figured out the question and I will try my best to solve the question at hand.
I have calculated the some data sheet in excel. Please refer to the attachment for that data.
let a be the salaries
b be the viewers
[tex]S_{aa}[/tex] = ∑[tex]a^{2}[/tex] - [tex]\frac{ Summtion a^{2} }{n}[/tex]
[tex]S_{aa}[/tex] = 7522.8571
[tex]S_{bb}[/tex] = ∑[tex]b^{2}[/tex] - [tex]\frac{ Summtion b^{2} }{n}[/tex]
[tex]S_{bb}[/tex] = 47.1943
[tex]S_{ab}[/tex] = ∑[tex]ab^{}[/tex] - [tex]\frac{ Summtion a x Summation b^{} }{n}[/tex]
[tex]S_{ab}[/tex] = -76.8286
Now the slope of the required regression equation is:
Slope = [tex]S_{ab}[/tex]/[tex]S_{aa}[/tex] = -76.8286/7522.8571 = -0.010
And the intercept of the required regression equation:
intercept = [tex]\frac{1}{n}[/tex] x (∑b - slope x ∑a) = 5.064
So, the regression equation will be:
y = intercept + slope x
y = 5.064 - 0.010x
Here, in this question x = 33
y = 5.064 - 0.010 (33)
y = 4.734 million views
Which functions are increasing?
Select all correct answers
Answer:
The correct answers should be b and c
Step-by-step explanation:
|•-•|
please help fast
Find the mistake
a) (x+3)(x+9)= x2+18x+12
Step-by-step explanation:
Using FOIL:
(x + 3)(x + 9)
= (x)(x) + (x)(9) + (3)(x) + (3)(9)
= x² + 9x + 3x + 27
= x² + 12x + 27.
Choose a value for b so that the relation below is not a function.
Answer:
B. -2
Step-by-step explanation:
A relation that is not a function would have one x-value having two different corresponding y-values.
If we choose -2 to represent b I the relation, the relation would not be a function. This is because, we there would be two different y-values, 8 and 1, that are assigned to one x-value, which is -2 ==> (-2, 8) and (-2, 1).
Isaiah gave $18 to his Friends. He gave 4 to Ricardo, $7 to Jeremiah, and the rest to Fabian. how much money did Fabian get?
Answer:
Fabian got $7.
Step-by-step explanation:
Isaiah gave $18 to his friends--Ricardo got $4, Jeremiah got $7, and Fabian got the rest. This needs a math equation!
4 + 7 + f = 18
where f is the amount of money Fabian got.
4 + 7 + f = 18
(subtract 4 from both sides)
7 + f = 14
(subtract 7 from both sides)
f = 7
It looks like Fabian got $7! Let's check just to make sure.
4 + 7 + f = 18
4 + 7 + (7) = 18
18 = 18
It checks out!
Guys is this correct? Look at the picture attached
It would be best to label the points if your turning it in. It can help people easily identify the points you've plotted.
From the looks of it, your equation is good.
The base is good and your math is right, but where did you get your height from?
If you count from point R up to line PQ you get 5 as the height.
I understand miscounting's a thing, no worries.
So if we input the correct height, we get A = 1/2 (3)(5)
1/2 * 15
7.5
The area of the polygon is 7.5 units.
I hope that helps and if you ever need any more help don't be afraid to reach out!
PLEASE HELP WILL MARK BRAINLIEST!!!!!
Answer:
Samuel's function will have the greatest rate of change.
Step-by-step explanation:
Samuel's rate of change is -15 as shown by the graph. Isaac's is -10, Samuel's has the greatest value because it will change more dramaticly.
What is the slope of a line that is parallel to the given equation?
y -- 2 = 5 (x + 1)
Answer: Slope = 10.000/2.000 = 5.000
x-intercept = 7/-5 = -1.40000
y-intercept = 7/1 = 7.00000
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
y-2-(5*(x+1))=0
STEP
1
:
Equation at the end of step 1
(y - 2) - 5 • (x + 1) = 0
STEP
2
:
Equation at the end of step 2
y - 5x - 7 = 0
STEP
3
:
Equation of a Straight Line
3.1 Solve y-5x-7 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y-5x-7 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 7/1 so this line "cuts" the y axis at y= 7.00000
y-intercept = 7/1 = 7.00000
Calculate the X-Intercept :
When y = 0 the value of x is 7/-5 Our line therefore "cuts" the x axis at x=-1.40000
x-intercept = 7/-5 = -1.40000
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 7.000 and for x=2.000, the value of y is 17.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 17.000 - 7.000 = 10.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 10.000/2.000 = 5.000
Geometric figure: Straight Line
Slope = 10.000/2.000 = 5.000
x-intercept = 7/-5 = -1.40000
y-intercept = 7/1 = 7.00000
Choose all of the equations for which x=2 is a solution.
Which statement describes the solutions of this equation?
I + 2
. 2 + = 1
OA.
The equation has two valid solutions and no extraneous solutions,
OB.
The equation has no valid solutions and two extraneous solutions.
O C.
The equation has one valid solution and no extraneous solutions.
OD.
The equation has one valid solution and one extraneous solution.
Step-by-step explanation:
x/(x + 2) + 1/x = 1
x² + (x + 2) = x(x + 2)
x² + x + 2 = x² + 2x
x = 2.
Since x = 2 neither makes (x + 2) or x become 0, there are no extraneous solutions.
The answer is "The equation has 1 valid solution and no extraneous solutions." (C)
The true statement is (c) the equation has one valid solution and no extraneous solutions
The equation is given as:
[tex]\frac{x}{x + 2} + \frac 1x = 1[/tex]
Take LCM
[tex]\frac{x^2 + x + 2}{x(x + 2)} = 1[/tex]
Expand the numerator
[tex]\frac{x^2 + x + 2}{x^2 + 2x} = 1[/tex]
Cross multiply
[tex]x^2 + x + 2 = x^2 + 2x[/tex]
Subtract x^2 from both sides
[tex]x + 2 = 2x[/tex]
Collect like terms
[tex]2x -x = 2[/tex]
[tex]x = 2[/tex]
Hence, the equation has one valid solution and no extraneous solutions
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Simply the expression (5x+9y) - (11x-3y+7)
Answer:
-6+12y-7
Step-by-step explanation:
Who doesn't like short answers, instead of writing a hole paragraph.
Answer:
[tex]-6x + 12y - 7[/tex]
Step-by-step explanation:
[tex](5x + 9y) - (11x - 3y + 7)[/tex]
Lets open the brackets.
[tex]=> 5x + 9y - 11x + 3y - 7[/tex]
Now lets add/substract the like terms only.
[tex]=> 5x - 11x + 9y + 3y - 7[/tex]
[tex]=> -6x + 12y - 7[/tex]
ALGEBRA NATION
HELP
Candice is deriving the quadratic formula.Her first few steps are
In her next step, Candice needs to complete the square to create
What expression should she add to both sides of the equation?
ax+ box +c=0
ax2 + bx= -C
x2+ bx/a = -c/a
Answer:
D
Picture proof, got 0 out of 3 RIP
James earns $2.20 less than twice gregs hourly wage. If james earns $16.50 per
hour, what is gregs hourly wage ?
Answer:
James earns $2.20 less than twice Greg's hourly wage. If. James earns $16.50 per hour, what is Greg's hourly wage? let x= Grea's hourly wage. 2x-2.20-James' hourly wage. 2x-2.20=16.50. 2x=16.50+2.20. 2x= 18.70.
If James earns $2.20 less than twice gregs hourly wage.If james earns $16.50 per hour, then gregs hourly wage is $9.35
What is equation?Two or more expressions with an equal symbol operator is called equation.
Given that james earns $16.50 per hour,
and James earns $2.20 less than twice gregs hourly wage.
let x= Grea's hourly wage.
James earns $2.20 less than twice gregs hourly wage by data.
2x-2.20=James' hourly wage.
2x-2.20=16.50.
2x=16.50+2.20.
2x= 18.70.
Divide by 2 on both sides
x=9.35
Hence gregs hourly wage is $9.35.
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Four different stores are having a sale on the same pair of shoes that cost $325. The signs below show the discounts available at each of the four stores. What is the price of one pair of shoes at each of the stores?
Answer:
I would need to see the signs to show each discount to figure this one out. Can you add it?
Step-by-step explanation:
Find the slope of the line.
у
4
3
(2,3)
-2
1
(0,0) 3 4 5x
5
slope =
Answer:
[tex]\displaystyle m=\frac{3}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (0, 0)
Point (2, 3)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute [SF]: [tex]\displaystyle m=\frac{3-0}{2-0}[/tex]Subtract: [tex]\displaystyle m=\frac{3}{2}[/tex]help please asap!!!!!
Answer:
-0.9 gallons per minute
Step-by-step explanation:
The sum of three consecutive numbers is 72 what is the smallest of the numbers
Answer:
23
Step-by-step explanation:
Suppose,
the first number = x
the second number = x+1
the third number = x+1+1 = x+2
Question wise,
x+x+1+x+2 = 72
3x+3 = 72
3x = 72-3 = 69
x = 69/3 = 23
so the numbers are,
23,(23+1)=24 and (23+2)=25
The distance between Prague and Vienna is 254 km. The local time in Prague is the same as the local time in Vienna. Calculate the average speed of the train
Answer: 56.44 km/h
Step-by-step explanation:
Speed = Distance / Time
Time = 1950 - 1520 = 4 hours 30 minutes = 4.5 hours
Speed = 254/4.5
= 56.44 km/h
Let’s see who smart what is it and why
Answer:
Step-by-step explanation:
Wheelbarrows is 30/3 = 10
Pair of shoes is (18 - 10) /2 = 4 so one shoe is 2
2 Seed bags is 4 - 2 = 2 so one bag is 1
Answer is 1(seed baf) + 10(wheelbarrows X 2(shoe) = 21
You deposit $400 in an account. The account earns $18 simple interest in 9 months. What is the annual interest rate
Use the formula,
I = Prt
P = Principal amount = 400
I = interest = 18
r = annual rate
t = time in years = 9/12 = 3/4
so,
18 = 400*r*3/4
r = 0.06
so the annual interest rate is 0.06 or 6%.