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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Nicole is driving on a highway. She uses one gallon of gas every 20 miles she drives. The distance, D (in miles), she travels on g gallons of gas is given by the following function. D (g)=20g How far does Nicole drive if she uses 3 gallons of gas?
Answer:
60
Step-by-step explanation:
1 gallon is equal to 30 miles, which would mean if she uses 30 gallons of gas it would be equal to 60 since 3 x 20 equals 60
2x + 21 = 5x. What is the first step in finding the value of x?
Answer:
x=7
Step-by-step explanation:
isolate the variables by dividing each side by factors that dont contain the variable x=7
Answer: The first step would be combine like terms, rather -2x on both sides so that you do not end up with a negative. Then divide by 3 on both side after that, the 3 on the right cancel each other out then your left with 7 = x
Step-by-step explanation:
An expression is shown. 2/3+1/5 What is the value of the expression?
Answer:
2.5 1/2
Step-by-step explanation:
Margaret invested $2000 into an account earning 4% interest compounded continuously. How much will her investment be worth after 5 years?
Answer:
$400
Step-by-step explanation:
The required, worth of the Margret investment after 5 years will be $2442.8.
What is compound interest?Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.
Amount = principal[1 + r/n]ⁿᵃ
Principal = P rate= r Time =a , n = compounding frequency
here,
Margaret invested $2000 into an account earning 4% interest compounded continuously.
Principal = $2000
Rate = 4% or 0.04
tenure = 5 years,
[tex]Amount = Pe^{rt}[/tex]
Substitute the values in the above equation,
[tex]Amount = 2000 \times e^{0.04 \times 5}\\Amount = 2442.8[/tex]
Thus, investment of Margret after 5 years becomes $2442.8.
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AHH, What is this???? and plz explain THX <3
Answer:
The maximum height of an ad that the company can afford is 20 inches.
Step-by-step explanation:
2,050 = 50 + 10(h * w),
where h is height, w is width and h = 2w.
2,050 = 50 + 10(h * w)
(subtract 50 from each side)
2,000 = 10(h * w)
(divide each side by 10)
200 = h * w
(substitute 2w for h)
200 = 2w * w
(divide each side by 2 and simplify)
100 = w * w
100 = w²
(find the square root of each side)
10 = w
So if the width is 10, then since the height is twice the width, then the height has to be 20.
You are buying a tv that originally cost 1,050 you have a coupon for 15% off what is your new total for the tv.
Answer:
$892.50 ( Eight Hundred Ninety Two dollars and fifty cents)
Step-by-step explanation:
Just subtract 15% from 1050 (you also can check calculator if you want second opinion!)
(have a nice day)
Which equation represents the relationship between the x -values any the y -values in the table?
Which inequality is shown in the graph below.
Ella invested $2,700 in an account paying an interest rate of 5.4% compounded
monthly. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest year, for the value of the account to reach $4,020?
Answer:
7.4 years
Step-by-step explanation:
This is a compound interest question, from the question, we know we are to find the time.
The formula for Time in compound interest =
t = ln(A/P) / n[ln(1 + r/n)]
Where:
A = Amount after time t = $4,020
P = Principle = Initial amount invested = $2700
r = Interest rate = 5.4% = 0.054
t = ??
n = compounding frequency = monthly = 12
t = ln(A/P) / n[ln(1 + r/n)]
t = In(4020/2700)/12[In(1 + 0.054/12)]
t = 7.388 years
Approximately = 7.4 years
NEED HELP ASAP!!!!!!!!!
Answer:
20
Step-by-step explanation:
A segment has endpoints with coordinates - 3 and 4. What is the coordinate of the segment's midpoint?
9514 1404 393
Answer:
1/2
Step-by-step explanation:
The midpoint is the average of the end points:
(-3 +4)/2 = 1/2
The coordinate of the midpoint is 1/2.
How many times larger is the value of 0.76 than the value of 0.0076? I need the answer pls I am soo not smart ):
Answer:
100 times
Step-by-step explanation:
Because if you Multiplay 0.0076 for 100 times will get 0.76
Angie states the following: "Given two triangles, if two pairs of corresponding sides and one pair of corresponding angles are congruent, then the triangles are congruent by Side–Angle–Side (SAS)." Which of the following options best describes Angie's statement?
a Angie is incorrect since SAS is not a congruence criterion that can be used to prove that two triangles are congruent.
b Angie is correct since SAS requires two pairs of congruent sides and one pair of congruent angles.
c Angie is correct since any two pairs of congruent sides and any pair of congruent angles will satisfy the SAS congruence criterion.
d Angie is incorrect since triangles with two pairs of congruent sides and one pair of congruent angles do not necessarily meet the SAS criterion.
Answer: D
Step-by-step explanation:
The answer is letter D, Angie is incorrect since triangles with two pairs of congruent sides and one pair of congruent angles do not necessarily meet the SAS orientation.
Answer:
C.) Angie is incorrect since triangles with two pairs of congruent sides and one pair of congruent angles do not necessarily meet the SAS criterion.
just took the test :)
have a good day
Which phrase represents the expression 7x + 2
Answer:
Seven x plus two
Step-by-step explanation:
I think thats whats you wanted, right?
can anybody help me solving this simplify
Answer:
hugsdoykxyztjzisyktdkyjzr xjyyxidt
A quantity with an initial value of 160 grows continuously at a rate of 0.65% per hour.
What is the value of the quantity after 402 minutes, to the nearest hundredth?
Answer:
167.10
Step-by-step explanation:
Here, we write out the general form for an exponential equation;
y = I (1 + r)^n
where y is the current value which we want to calculate
I is the initial value which is 160
r is the growth rate = 0.65% = 0.65/100 = 0.0065
402 minutes to hours will be 402/60 = 6.7 hours which is n
Substituting these values, we have
y = 160( 1 + 0.0065)^6.7
y = 160(1.0065)^6.7
y = 167.10
Subtract. Write your answer as a fraction in simplest form.
-8 3/8 - 10 1/6=
What is the value of x?
Answer:
x = 3 sqrt 2
Step-by-step explanation:
We know that this is a 45, 45m 90 special right triangle. In this special right triangle the side lengths are x, x and the hypotenuse is x sqrt 2 (we can prove this using pythagoreans theorem). 6 is the hypotenuse, meaning that it is equal to x sqrt 2:
6 = x sqrt 2
x = 6/sqrt 2
Rationalize the denominator:
x = (6 sqrt 2)/2
x = 3 sqrt 2
Owen is 69 inches tall. How tall is Owen in feet? there is a hint i am in 6 grade
Answer:
5.75 feet tall
Step-by-step explanation:
In preparation for the holiday season, Big Bird Co. decided to increase production of stuffed Bert characters by 30%.
If the company had been producing 350 Bert characters per day, how many additional characters will the factory be creating per day?
Answer:
the additional characters will the factory creating per day is 105 characters
Step-by-step explanation:
The computation of the additional characters will the factory creating per day is shown below
= Number of character produced × (1 + increased percentage)
= 350 × (1 + 0.30)
= 350 × 1.30
= 455 characters
Now the additional characters would be
= 455 - 350
= 105 characters
hence, the additional characters will the factory creating per day is 105 characters
Which congruence postulate or theorem shows that the triangles below are congruent?
A.
AAS
B.
ASA
C.
AA
D.
SAS
Answer:
A. AAS
Step-by-step explanation:
WIll give brainley
1/3x = 6
Answer:
x = 18
Step-by-step explanation:
6 ÷ 1/3 =
18
you purchase a car with a $23,000 loan with %4 simple interest rate. Suppose you pay off the loan after 5 years. How much interest do you pay on your loan?
Answer:
Answer: $4,600
Step-by-step explanation:
11.9 x 22.1? What’s the answer?
Answer:
11.9* 22.1= 262.99
I would honestly use a calculator for math like this, lol.
Answer:
262.99
Step-by-step explanation:
hope it helps. :)
HELP ASAP EXPLAIN hellooo
what is 826,783 rounded to the nearest ten thousand
Answer:
826,783
82*6* (we go up)
826,783 is rounded to 830,000
Step-by-step explanation:
At a local amusement park 70% of the rides are 48 inches taller if there are 80 rides in total how many are made for kids who are 48 inches and taller?
Answer:
56 rides
Step-by-step explanation:
Total number of rides = 80 rides
If 70% of the rides are 48 inches taller, the total number of rides 70% taller wil be;
Rides 48 inches taller = 70% * 80
Rides 48 inches taller = 0.7 * 80
Rides 48 inches taller = 56
Hence the total rids made for kids that are 48inches taller is 56 rides
Tasha walked 6,618 feet. What is the distance she walked in yards?
Answer:
2206
Step-by-step explanation:
3 feet = 1 yard
so you divide 6618 by 3 to get 2206
Answer:
The answer is 2206
Step-by-step explanation:
there is 3 feet in 1 yard so i Divided it by 3
so i did 6,618 / 3 to get 2206
Hope i helped
How many terms are in the expression when simplified?
Answer:
5
Step-by-step explanation:
Express the area of the entire rectangle
Answer:
area of rectangle = l*b
=x+8*x+3
=(x+3)(x+8)
=(x square + 11 x +24)
Step-by-step explanation:
answer is (xsquare + 11 x +24)