-1+7n
A. Quadratic monomial
B. Quadratic trinomial
C. Linear binomial
D. fifth degree binomial
E. none
Answers
A. Quadratic monomial
B. Quadratic trinomial
C. Linear binomial
D. fifth degree binomial
E. none
The correct answer is:
C. Linear binomial
Linear binomial is a polynomial of the first degree: ax+ b. If to divide a polynomial, containing a letter x, by a linear binomial x – b, where b is a number ( positive or negative ), then a remainder will be a polynomial only of zero degree, i.e. some number N , which can be found without finding a quotient.
Related Questions
what is the factored form of the expression? 4x^2-81y^2
Answers
[tex](2x)^2-(9y)^2 [/tex]
[tex](2x+9y)(2x-9y)[/tex]
[tex]4x {}^{2} - 81y {}^{2} [/tex]
Write the expressions 4 & 81 in exponential form with an exponent of 2.
[tex] = 2 {}^{2} x {}^{2} - 9 {}^{2} y {}^{2} [/tex]
Multiply the terms with equal exponents by multiplying their bases.
[tex] = (2x) {}^{2} - (9y) {}^{2} [/tex]
Using
[tex]a {}^{2} - b {}^{2} = (a - b)(a + b)[/tex]
Factor the expression.
[tex] = (2x - 9y) \times (2x + 9y)[/tex]
Tripp and Rico are two dogs. Tripp weighs exactly 35 pounds more than Rico. Together, they weigh exactly 49 pounds. How much does each dog weigh? Please use Two-step equations!!!! plz, help!
Answers
We know that Tripp weights 35lbs more than Rico, or:
[tex]t=r+35[/tex]
We also know that the total weight of both dogs is 49lbs.:
[tex]t+r=49[/tex]
Now, by substitution:
[tex](r+35)+r=49[/tex]
[tex]2r+35=49[/tex]
[tex]2r+35-35=49-35[/tex]
[tex]2r=14[/tex]
[tex]r=\frac{14}{2}[/tex]
[tex]r=7[/tex]
Rico weighs 7lbs.
Then:
[tex]t=r+35[/tex]
[tex]t=7+35[/tex]
[tex]t=42[/tex]
Tripp weighs 42lbs.
To check our work:
[tex]t+r=49[/tex]
[tex]42+7=49[/tex]
[tex]49=49[/tex] CHECK!
Using a system of equations, it is found that Tripp weighs 42 pounds and Rico weighs 7 pounds.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are given as follows:
Variable x: Tripp's weight.Variable y: Rico's weight.Tripp weighs exactly 35 pounds more than Rico, hence:
x = 35 + y.
Together, they weigh exactly 49 pounds, hence:
x + y = 49
35 + y + y = 49
2y = 14 -> y = 7
x = 35 + y -> x = 42
Hence, Tripp weighs 42 pounds and Rico weighs 7 pounds.
To learn more about a system of equations, you can check https://brainly.com/question/24342899
Sandra is traveling 19 mph on her bicycle. After 2 hours, how far will she have traveled?
Answers
to find total distance, multiply speed by time:
total distance = 19 mph x 2 hours = 38 total miles
Find the length of the arc shown in red. Leave your answer in terms of x.
Answers
S = r * theta
Where:
R: radius
Theta: central angle
For this case we have that the arc length is:
S = (30/180) * 9 * pi
S = (3/2) pi
Answer:
The length of the arc shown in red is:
S = (3/2) pi
Two corresponding side of similar pentagons are 12 cm and 28 cm.
what is the ratio of the areas of the pentagons?
A. 12/28
B. 27/343
C. 9/49
Answers
area scale factor=(linear scale factor)²
linear scale factor=(length of pentagon A)/(length of polygon B)=12/28=3/7
thus:
area ratio=(3/7)²=9/49
Answer: C. 9/49
"a fair coin is tossed 5 times. what is the probability of exactly 4 heads?"
Answers
Cameroon corp. manufactures and sells electric staplers for $15.90 each. if 10,000 units were sold in december, and management forecasts 5% growth in sales each month, the dollar amount of electric stapler sales budgeted for february should be:
Answers
For 5% forecast growth each month;
Sales in January = (1+0.05)*Sales in December = 1.05*159,000 = $166,950
Sales in February = (1+0.05)*Sales in January = 1.05*166,950 = $175,297.50
The company should budget for $175,297.50 sales in February.
housing prices in a certain neighborhood average at 97.86 per square foot. If one house in this neighborhood is 1400 square feet, what should it be priced at?
Answers
(97.86/ft²)×(1400 ft²) = 97.86×1400 = 137,004
In a tournament team A won 7 less games than Team B, and Team B won exactly three times as many games as team C. If If Team C won g games, how many games did Team A win?
Answers
Team A won 3g - 7 games, where g is the number of games won by Team C. To determine the number of games Team A won, multiply the number of games Team C won by 3 and subtract 7.
Let's denote Team C's number of wins as g. According to the information provided, Team B won three times as many games as Team C, which can be expressed as 3g. It is also stated that Team A won 7 fewer games than Team B. So, if Team B won 3g games, then Team A won 3g - 7 games.
To find the number of games Team A won, simply multiply the number of games Team C won by 3 and subtract 7 from that total. This can be represented by the algebraic expression A = 3g - 7, where A represents the number of games won by Team A and g represents the number of games won by Team C.
What is the following product of sqrt 10 times sqrt 10
Answers
Whenever we have been given to find the product of two square roots, the two roots cancel out each other. This is because [tex] (\sqrt{number} )^2 = number [/tex]
The power of two and the square root cancel out each other
In the given problem we have to multiply the square root 10 by itself, we have
[tex] \sqrt{10} * \sqrt{10} [/tex]
Now, the next step will be
[tex] (\sqrt{10})^2 [/tex]
Now the square root and the power of 2 cancel each other an d the result will be 10
Answer : 10
I really really need help with this please.
Answers
= 1 + 3 + 3^2 + 3^3 + 3^4
= (3^5 - 1) / (3 - 1)
= 242 / 2
= 121
Since we included Tle-nle as the 1st generation, we will only compute up to the 4th power. If it is until the 6th generation, add 3^5 to the equation.
The function f(x)=2^x and g(x)=f(x)+k.If k=-5,what can be concluded about the graph of g(x)?
the graph of g(x) is shifted horizontally
a.5 units to the left of the graph of f(x)
b. 5 units to the right of the graph of f(x)
c.the graph is not shifted horizontally from the graph of f(x)
Answers
The graph of g(x) will be the same as the graph of f(x) shifted vertically downwards by 5 units because k=-5 represents a vertical shift, not a horizontal one. There is no horizontal shift involved.
When considering the functions [tex]f(x)=2^x[/tex]and g(x)=f(x)+k, with k=-5, we look at how the graph of g(x) compares to the graph of f(x).
Since the value of k is negative, it implies that a constant is being subtracted from the function f(x). This means that the graph of g(x) will not be shifted horizontally, but rather vertically downwards by 5 units.
Therefore, option c is the correct answer: the graph is not shifted horizontally from the graph of f(x).
if a 9 inch pizza serves 4 people, how many people will a 12 inch pizza serve?
Answers
Create a box and whisker plot for the average daily temperatures in Tucson, Arizona, in December: 67, 57, 52, 51, 64, 58, 67, 58, 55, 59, 66, 50, 57, 62, 58, 50, 58, 50, 60, 63
Answers
First, we'll arrange the number sequence from lowest to highest - 0,50,50,51,52,55,57,57,58,58,58,58,59,60,62,63,64,66,67,67.
Second, we'll find the median Q2 - (58+58) / 2 = 58
Third, we'll take the middle numbers before the median as our lower quartile Q1 - (52+55) / 2 = 53.5
Fourth, we'll take the middle numbers after the median as our upper quartile Q3 - (62+63) / 2 = 62.5
Then we graph (see attached picture)
Normal Distributions
I couldn't see the whole graph in the answer above, but using the quartiles, I chose graph A and that was right.
1. b. mean=75.8, median=76.5, mode=63
2. a. dots at 50, 53.5, 58, 62.5, and 67
3. c. 30th percentile=105, 90th percentile=176.
This is a controversial question because some of the numbers repeat, but as of 5/19, answer c is right.
4. d. mean=8, variance=18.3, standard deviation=4.3
5. a. 2
6. b. 22%
7. d. a^6-30d^5+375d^4-2,500d^3+9,375d^2-18,750d+15,625
8. a. 93%
9. b. 16%
10. c. 84%
Identify the function in which Y varies directly with X
Answers
9=7x-13x-21 show step by step
Answers
9 = 7x - 13x - 21 becomes 9 = - 6x - 21
Now add 21 to both sides to isolate our coefficient and variable.
- 6x -21 + 21 = 9 + 21
The 21s on the left cancel out.
- 6x = 30
Now divide both sides by - 6 to isolate the variable.
x = 30 / - 6
x = - 5
How can 52/9 be expressed as a decimal?
Answers
For 52/9 to be expressed as a decimal, you need to divide the fraction.
52/9 = 5.78 (rounded by the 1hundreds in the decimals place).
food costs are expected to rise 6% each month for the next year. Which series correctly depicts the cost (to the nearest cent) for the next three months if the current cost is $150 per month?
a. $150.00 + $159.00 + $168.00
b.$150.00 + $159.00 + $168.54
c.$159.00 + $168.00 + $177.00
d.$159.00 + $168.54 + $178.65
Answers
y = 150 * (1.06) ^ t
For the first month we have:
y = 150 * (1.06) ^ 1
y = 159 $
For the second month we have:
y = 150 * (1.06) ^ 2
y = 168.54 $
For the third month we have:
y = 150 * (1.06) ^ 1
y = 178.65 $
Answer:
d. $ 159.00 + $ 168.54 + $ 178.65
Answer:
the final answer is the last option, D
Step-by-step explanation:
The gpa at the super university has a normal distribution with a mean 2.29 and standard deviation 1.29 to be an honors student at this university your GPA has to be in the top 20% what is the smallest gpa you need to have to be an honors student?
Answers
[tex]\mathbb P(G\ge g)=0.20[/tex]
where [tex]G[/tex] is a random variable denoting GPA scores. Transform [tex]G[/tex] to the standard normal random variable [tex]Z[/tex] using
[tex]Z=\dfrac{G-\mu_G}{\sigma_G}\iff G=\mu_G+\sigma_GZ[/tex]
where [tex]\mu_G[/tex] and [tex]\sigma_G[/tex] are the mean and standard deviation of [tex]G[/tex], respectively. Now
[tex]\mathbb P(G\ge g)=\mathbb P\left(Z\ge\dfrac{g-2.29}{1.29}\right)=0.20[/tex]
Using the inverse CDF for the standard normal distribution, we find that the corresponding critical value is about 0.8416, which means
[tex]\implies\dfrac{g-2.29}{1.29}\approx0.8416\implies g\approx3.3757[/tex]
what is the minimum value that the graph of y=sin x assumes?
Answers
do the scatter plot .........................
Answers
1 190
2 220
3 200
4 330
5 300
6 410
7 450
8 410
9 530
10 650
11 570
12 650
13 750
14 720
15 700
16 800
The scatter diagram shows that as the weeks increase, sales increase.
Answer:
See attached image.
he walks 200m west and 125m north how far away is he from his starting point
Answers
So for this triangle, base is 200 m and height is 125 m. Our goal is to find the length of hypotenuse. We can use Pythagorean theorem.
(200)² + (125)² = c²
√( (200)² + (125)² ) = c
√( 55625 ) = c
235.850 ≈ c
Final answer: 235.850 m
Hope this helps.
A metal rod is 38 meters long. It will be cut into pieces that are each 148
meters long. How many pieces will be made from the rod?
Answers
Jean gets an allowance of $15 each month plus an extra $2 for each chore she completes around the house. How much allowance will she earn if she does x chores in a month?
a. 15x + 2 dollars
b. 2x dollars
c. 2x + 15 dollars
d. 17x + 15 dollars
Answers
A six-sided die is thrown 50 times. the numbers of occurrences of each face are shown below. face 1 2 3 4 5 6 count 12 5 9 11 6 7 can you conclude that the die is not fair?
Answers
3+4(z+5)=31 please show the correct step by step and correct answer
Answers
Distribute 4:
3 + 4z + 20 = 31
Combine like terms:
4z + 23 = 31
Take away 23 from both sides:
4z = 8
Divide by 4:
z = 2
Answer: z = 2
z = 2
3+4(z+5)=31
3+4(z+5)-3=31 - 3
4(z+5)=28
z+5=7
z+5-5=7-5
z=2
Sorry if this is confusing! <3
Hope this helps!
can someone help me 3y-20=8y
Answers
Step 1: Collect the y-terms.
To collect the y-terms, you'll need to subtract 3y from both sides.
3y - 20 - 3y = 8y - 3y
-20 = 5y
Step 2: Isolate y.
Now that there is only one variable term, you must isolate the variable by dividing the term by the coefficient of the variable.
-20 ÷ 5 = 5y ÷ 5
-4 = y
Answer:
y = -4
how do u simplify this?
4r-3+6s-8r-(4s-6)
Answers
4r -3 + 6s - 8r - (4s - 6)
*distribute parentheses :
= - ( 4s ) - ( - 6 )
Apply minus - plus rules
- ( - a ) = a ; - ( a ) = - a
= - 4s + 6
4r -3+ 6 s - 8r -4s + 6 =
Group like terms :
=4r - 8r + 6s - 4s -3+6
Add similar elements: 4r - 8r= - 4r
-4r + 6s - 4s- 3+6
6s - 4s = 2s
-4r + 2s - 3 + 6
Add/Subtract the numbers :
-3 + 6 = 3
Therefore:
= 2s +3 - 4r
hope this helps!
What is value of M in the figure below?
Answers
m/5 = (14 +5)/m
m^2 = 5*19 = 95
The best choice is ...
C. √95
Based on the right-angled triangle, the value of m is equal to: C. [tex]\sqrt{95}[/tex].
What is the geometric mean (leg) theorem?According to the geometric mean (leg) theorem, the length of the leg of a right-angled triangle is the geometric mean between its hypotenuse and the segment of the hypotenuse which is adjacent to that leg.
Mathematically, the geometric mean (leg) theorem can be modeled by the following formula;
Hypotenuse/leg = leg/part
where;
hypotenuse = 14 + 5 = 19
leg = m
part = 5
By applying geometric mean (leg) theorem, the length of the part (x) can be calculated as follows;
19/m = m/5
By cross-multiplying, we have the following:
[tex]m^2=19 \times 5\\\\m^2=95\\\\m=\sqrt{95}[/tex]
Read more on geometric mean here: brainly.com/question/26257841
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An executive invests $22,000, some at 8% and the rest at 6% annual interest. If he receives an annual return of $1,660, how much is invested at each rate?
Answers
0.08n + 0.06(22000-n) = 1660
Multiply both sides by 100:
8n + 132000-6n = 166000
Simplify:
2n + 132000 = 166000
Isolate n:
2n = 34000
n = 17000
8% invested: 17000
6% invested: 5000