Polynomial Or Not a polynomial?
1) x4+3x3−5x2−7x+20
2) x3−2x2+x−12
3) x2+3x5−6x+12x3
4) x−3−x−2−6x−1+84x√3−x√−20
5) 4x√3−x√−20
6) 5x3−1x2+8x−40
Select "P" for Polynomial and Select "NP" for Not a Polynomial when answering
What are the domain and range of the function?
X Y
-2 -8
-1 -1
0 0
1 1
2 8
3 27
Answers:
A.
Domain: {0, 1, 2, 3, 8, 27}; Range: {–8, –2, –1}
B.
Domain: {–2, –1, 0, 1, 2, 3}; Range: {–8, –1, 0, 1, 8, 27}
C.
Domain: {–2, –1, 0, 1, 8, 27}; Range: {–8, –1, 0, 1, 2, 3}
D.
Domain: {–8, –1, 0, 1, 8, 27}; Range: {–2, –1, 0, 1, 2, 3}
alex is thinking of a doubles fact. the sum is greater than the sum of 7+7 but less than the sum of 8+9. what fact is alex thinking of?
23 decreased by the product of 44 and an unknown number is 199. What is the value of the unknown number.?
Describe the similarities and differences between a rhombus, square , and rectangle.
the line parallel to 3x + y = 8 that passes through (0, -4)
jason bought 5 movie tickets and a bag of popcorn. Jeremy bought 2 movie tickets. They spend $54 total. If the popcorn cost $5 how much did each movie ticket cost?
i need help with this problem even though it is easy.
what is 12 / 14
Travis and Paula went to lunch. Travis ordered a sandwich for $7.50, and Paula ordered a burger for $5.25. after lunch they left a %15 percent tip for their waiter. how much money did the spend together?
What is the least common denominator (LCD) for these fractions? 2/7 and 9/10
The required least common denominator for the fraction is 70.
Given that,
To determine the least common denominator for the fractions 2/7 and 9/10.
The least common denominator has defined the factor that is least common among the factors of the denominator is called the least common denominator.
The greatest common factor is defined as a group of the set of numbers that is the most considerable and greatest factor that all the numbers include of.
Here,
For the fraction, 2 / 7 and 9 / 10
the denominators are 7 and 10
Now lowest common multiple of 7 and 10 is given as ,
7 * 10 = 70
Thus, the required least common denominator for the fraction is 70.
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One foot is equivalent to 30.48 centimeters . Write this value as a mixed number in simplest form. PLEASE HELP!!!
An apartment has
972
square feet of carpeting. How much is this in square meters? Use the following conversion:
1
square meter is
10.8
square feet.
If an apartment has 972 square feet of carpeting then from conversion we can say that it has 90 square meters.
What is conversion?Conversion is basically converting one unit to another because there are different quantities expressed in different units. Like in one kilogram there are 1000 grams, etc.
How to convert units?We have been given that an apartment has 972 square feet of carpeting and we are required to convert these 972 square units into square meters. We have been given that 1 square meter is equal to 10.8 square feet.
972 square feet=972/10.8
=90 square meters.
Hence if an apartment has 972 square feet of carpeting then from conversion we can say that it has 90 square meters.
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which division expression is equivalent to 4 1/3 ÷ -5/6
[tex]4\dfrac{1}{3}\div\left(-\dfrac{5}{6}\right)\qquad(*)\\\\\text{Convert the mixed number to the improper fraction:}\\\\4\dfrac{1}{3}=\dfrac{4\cdot3+1}{3}=\dfrac{12+1}{3}=\dfrac{13}{3}\\\\(*)=\dfrac{13}{3}\div\left(-\dfrac{5}{6}\right)\\\\\text{By dividing by a fraction, we multiply by its reciprocal.}\\\\=\dfrac{13}{3}\cdot\left(-\dfrac{6}{5}\right)\qquad\text{simplify}\\\\=\dfrac{13}{3\!\!\!\!\diagup_1}\cdot\left(-\dfrac{6\!\!\!\!\diagup^2}{5}\right)=-\dfrac{13\cdot2}{1\cdot5}=-\dfrac{26}{5}=-\dfrac{25+1}{5}=-5\dfrac{1}{5}[/tex]
Answer:
the answer is 13/3 ÷ ( - 5/6 ) my luv :)
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B R A I N L I E S T ? ^.^
the crown under my answer :)
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Step-by-step explanation:
Need help on my homework so if somebody could at least help me
I need to know all of these
A builder uses squares to lay out various projects. Write two equations. The first equation should express the area of the square (a) as a function of the length (l) of a side. The second should express the volume of a cube (v) as a function of the length (s) of a side.
Answer:
The area of the square:
a = l²
The volume of a cube:
v = s³
Which ordered pairs lie on the graph of the exponential function f(x)=4(5)^2x
select each correct answer:
(-1,4/25)
(0,0)
(1,4)
(2,2500)
The ordered pairs [tex]\left(-1, \frac{4}{25}\right)[/tex] and [tex](2,2500)[/tex] lie on the graph of the exponential function.
The quickest approach consists in evaluating the function at each value of [tex]x[/tex] to determine if the resulting value of [tex]y[/tex] coincide with the value given in statement.
x = -1
[tex]f(-1) = 4\cdot 5^{2\cdot (-1)}[/tex]
[tex]f(-1) = \frac{4}{25}[/tex]
The resulting value coincides with the value given in statement.
x = 0
[tex]f(0) = 4\cdot 5^{2\cdot (0)}[/tex]
[tex]f(0) = 4[/tex]
The resulting value does not coincide with the value given in statement.
x = 1
[tex]f(1) = 4\cdot 5^{2\cdot (1)}[/tex]
[tex]f(1) = 100[/tex]
The resulting value does not coincide with the value given in statement.
x = 2
[tex]f(2) = 4\cdot 5^{2\cdot (2)}[/tex]
[tex]f(2) = 2500[/tex]
The resulting value coincides with the value given in statement.
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The ordered pairs (-1, 4/25) and (2, 2500) lie on the graph of the exponential function f(x) = 4 × (5)^(2x), while (0, 0) and (1, 4) do not.
To determine which ordered pairs lie on the graph of the exponential function f(x) = 4 × (5)^(2x), we can substitute the given x-values into the function and check if the resulting y-values match the given coordinates.
For the point (-1, 4/25):
f(-1) = 4 × (5)^(2(-1)) = 4 × 1/25 = 4/25
This matches the given coordinate, so (-1, 4/25) is on the graph.
For the point (0, 0):
f(0) = 4 × (5)^(2 × 0) = 4 × 1 = 4
This doesn't match the given coordinate, so (0, 0) is not on the graph.
For the point (1, 4):
f(1) = 4 × (5)^(2 × 1) = 4 × 25 = 100
This doesn't match the given coordinate, so (1, 4) is not on the graph.
For the point (2, 2500):
f(2) = 4 × (5)^(2 × 2) = 4 × 625 = 2500
This matches the given coordinate, so (2, 2500) is on the graph.
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Find the take-home percent of the gross pay: net pay $453.10, gross pay$734
50%
16%
162%
62%
Answer:
Option D. 62%
Step-by-step explanation:
Net pay = $453.10
Gross pay = $734.00
We have to find the take-home percent of the gross pay.
We will divide net pay by gross pay and multiply by 100.
Percent of the gross pay = [tex]\frac{453.10}{734}\times 100[/tex]
= 0.617302452 × 100
= 61.73 ≈ 62%
The take-home percent of the gross pay would be 62%.
Use the simple interest formula to find the ending balance.
$1500 at 7% for 1.5 years. 13 points
What polynomial has roots of −6, 1, and 4?
The answer is c.
If you have a root (a), it can also be written as (x-a).
(x+6),(x-1),(x-4)
Multiply all of them together to get the equation
(x+6)(x-1)(x-4)=
(x2-x+6x-6)(x-4)=
(x2+5x-6)(x-4)=
(x3+5x2-6x-4x2-20x+24)=
x3+x2-26x+24
To find a polynomial with given roots −6, 1, and 4, we create factors (x + 6), (x - 1), and (x - 4). Multiplying these factors, we get the polynomial x3 - 5x2 - 21x + 24.
Finding the Polynomial with Given Roots
To find a polynomial with roots of −6, 1, and 4, we need to create factors that each set to zero at these roots. A polynomial is a product of its factors, and a root is a solution to the equation where the polynomial is equal to zero. The factors corresponding to the roots −6, 1, and 4 are (x + 6), (x - 1), and (x - 4) respectively. Multiplying these factors gives us the polynomial:
(x + 6)(x - 1)(x - 4) = x3 - (1 + 4)x2 + (4 - 1 - 24)x + (6 x 1 x 4)
Let's expand and simplify:
x3 - 5x2 - 21x + 24
Therefore, the polynomial with roots of
−6, 1, and 4 is x3 - 5x2 - 21x + 24.
The twenty-six coins are all dollars and quarters, and they add up to seventeen dollars in value. How many dollars and how many quarters are there?
d +q = 26
d=26-q
1d +0.25q = 17
1(26-q) +0.25q = 17
26 -q +0.25q = 17
26-0.75q = 17
-0.75q = -9
q = -9 / -0.75 = 12
12 quarters and 14 dollars
check 12 * 0.25 = 3
3+14 = 17
I need lots of help and I really need it
Dallison cooked a 5-pound roast for supper. What is the estimated mass in grams
Denise finished the race in 5.93 minutes.If Tara took 4.6 times as long to finish the race, how many minutes did it take her to finish?
hat is 965.38 rounded to the nearest tenth? A. 970 B. 965.4 C. 965.3 D. 965
A forest ranger can see a distance of 12 miles from a fire tower how many square miles can he see
Which pair represents equivalent ratios? 2/3 or 9/15
yesterday Bethany sent 60 text message she said that 15% of those messages or to her best friend how many text messages did Bethany sent to her friend yesterday
Answer:
15 texts
Step-by-step explanation:
Marcus earns $10.75 per hour working at a sporting goods store. How much money would he earn if he worked 15 hours
Count by ones from 368 to 500. Change for a larger unit when necessary.
377? 1 ten 1 hundred ——ones ——tens