Answers
Answer:
Step-by-step explanation:
Write each expression with a common denominator of 15 15 , by multiplying each by an appropriate factor of 1 1 . Tap for more steps... Multiply 173 17 3 and 55 ...
Related Questions
t^3(8 + 9t) - (t2 + 4) (2 – 3t)
The simplified expression is a polynomial.
The simplified expression has a constant term.
The simplified expression is cubic.
The simplified expression has four terms.
The simplified expression is a trinomial
Answers
Answer: a & b
Step-by-step explanation:
t³(8 + 9t) - (t² + 4)(2 - 3t)
= 8t³ + 9t⁴ - (2t² - 3t³ + 8 - 12t)
= 8t³ + 9t⁴ - 2t² + 3t³ - 8 + 12t
= 9t⁴ + 11t³ - 2t² + 12t - 8
a) The simplified expression is a polynomial. TRUE
b) The simplified expression has a constant term. TRUE
c) The simplified expression is cubic. False - it is degree 4
d) The simplified expression has four terms. False - it has 5 terms
e) The simplified expression is a trinomial False - it has 5 terms
The answer is A) The simplified expression is a polynomial. & B)The simplified expression has a constant term.
What is a polynomial for example?Polynomials are sums of phrases of the form okay⋅xⁿ, where ok is any range and n is an effective integer. as an instance, 3x+2x-5 is a polynomial. Introduction to polynomials. This video covers commonplace terminology like phrases, diploma, fashionable form, monomial, binomial and trinomial.
A polynomial is described as an expression that consists of variables, constants, and exponents, which can be mixed with the usage of mathematical operations including addition, subtraction, multiplication, and department (No department operation by way of a variable).
t³(8 + 9t) - (t² + 4)(2 - 3t)
= 8t³ + 9t⁴ - (2t² - 3t³ + 8 - 12t)
= 8t³ + 9t⁴ - 2t² + 3t³ - 8 + 12t
= 9t⁴ + 11t³ - 2t² + 12t - 8.
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Suppose Ax = b has a solution. Explain why the solution is unique precisely when Ax = 0 has only the trivial solution. Choose the correct answer. 0
A. Since Ax = b is inconsistent, its solution set is obtained by translating the solution set of Ax-0. For Ax-b to be inconsistent, Ax = 0 has only the trivial solution.
B. Since Ax-b is consistent, its solution set is obtained by translating the solution set of Ax-0. So the solution set of Ax = b is a single vector if and only if the solution set of Ax 0 is a single vector, and that happens if and only if Ax 0 has only the trivial solution.
C. Since Ax = b is inconsistent, then the solution set of Ax = 0 is also inconsistent. The solution set of Ax = 0 is inconsistent if and only if Ax = 0 has only the trivial solution.
D. Since Ax = b is consistent, then the solution is unique if and only if there is at least one free variable in the corresponding system of equations. This happens if and only if the equation Ax 0 has only the trivial solution.
Answers
Answer:
B. Since Ax-b is consistent, its solution set is obtained by translating the solution set of Ax=0. So the solution set of Ax = b is a single vector if and only if the solution set of Ax= 0 is a single vector, and that happens if and only if Ax 0 has only the trivial solution.
Step-by-step explanation:
the answer to the question is answer B. and here is the explanation below
let us imagine that the equation ax = b has a solution
now our goal will be to show that the solution of ax =b when ax = 0 has only trivial solution.
ax = 0 is homogenous
if this equation was consistent for b, we define
ax = b to be a set of vector that has the form
w = m + gh(h is a subscript)
gh is a solution of ax = 0
from what we have above, ax=b is in the form ofw= m+gh
with
m = solution of ax=b
gh = soulution of ax=0
ax = 0 has only trivial solution
gh = 0
with gh = 0
ax=b is w=m
so ax = b is unique.
please view the picture below
Answers
the answer is D (i think i'm sorry if i get u wrong)
1
At a book fair, a tote bag costs $10 and books cost $7.50 each. You spend a total of $62.50
before taxes. How many books did you buy in addition to one tote bag? Must show work on
separate sheet of paper. *
Answers
Answer:
7 books
Step-by-step explanation:
$62.50 - $10 = $52.50
$52.50 ÷ $7.50 = 7
You bought 7 books.
The larger of the two numbers is 4 more than twice the smaller. The difference of the larger number and the smaller number is 6. Find the numbers.
Answers
Answer:
2 and 8
Step-by-step explanation:
Larger number = y
Smaller number = x
---------------------------------
y = 2x+4
y - x = 6 -> y= x+6
---------------------------------------
x + 6 = 2x + 4
2 = x
y = x+ 6
y = 2 + 6
y = 8
Hope this makes sense!!!!
A square has a length of 5 inches. What is the perimeter of the square
Answers
Answer:
20 inches
Step-by-step explanation:
5 inches for each of the four sides.5×4=20
Answer:
[tex]\boxed {\tt 20 \ inches}[/tex]
Step-by-step explanation:
The perimeter of a square can be found by multiplying the side length by 4.
[tex]p= 4 s[/tex]
The side length of the square is 5 inches.
[tex]s= 5 \ in[/tex]
Substitute the value in for s.
[tex]p= 4 * 5 \ in[/tex]
Multiply.
[tex]p= 20 \ in[/tex]
The perimeter of the square is 20 inches.
. At Medina Middle School, 28 out of 350 the students ride bikes to school. At Rachel Carson School, 40 out of 500 students ride the bikes to school? Do both schools have the same rate? Answer:
2. According to the school survey 72 out of 400 students at Adams High School speak Spanish. If the rate is the same at Francis Lewis High School with the total population of 250, how many students speak Spanish at Francis Lewis High School? Answer:
3. Marco makes $24 for 6 hours of chores and Olivia makes $36 for 8 hours of chores. Are they getting the same rate of pay? Explain your reasoning.
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given the questions:
1.)
Medina schools :
Number of students = 350
Number who ride to school = 28
Rate = 28 / 350 = 0.08
Rachael Carson schools :
Number of students = 500
Number who ride to school = 40
40 / 500 = 0.08
Yes, they both have the same rate
2)
Adams high:
Number of students = 400
Spanish speakers = 72
Rate = 72 /400 = 0.18
Francis Lewis :
Number of students = 250
Since rate is the same,
Hence,
Number of Spanish speakers = 250 * 0.18 = 45 students
3.)
Marco Earns $24 for 6 hours worked
Olivia makes $36 for 8 hours worked
Marco's rate of pay :
Amount earned per hour : $24 / 6 = $4
Olivia's rate of pay :
$36 / 8 = $4.5
They do not earn at the same rate
100×1.46= cash exhange
Answers
Answer:
[tex]\dashrightarrow \sf \: 100 \times 1.46 \\ \\ \dashrightarrow \sf \: \cancel{100} \times \frac{146}{ \cancel{100 }} \\ \\ \dashrightarrow \sf \: 146[/tex]
Answer:
100 x 1.46 = 146
Step-by-step explanation:
hope this helps
If (s -a) = 5cm, (s -b) = 10cm, (s -c) = 1cm then find s
Answers
Answer:
s = 1/3 (a + b + c + 16)Step-by-step explanation:
Given If (s -a) = 5cm, (s -b) = 10cm, (s -c) = 1cm s = ? SolutionAdd up the 3 equations and solve for s:
s - a + s - b + s - c = 5 + 10 + 1 3s = 16 + a + b + c s = 1/3 (a + b + c + 16)
What is the value of x?
Answers
As we can see, 5 is proportional to the 10 in the first shape.
Which means we have to manipulate the 10 to get 5
10/2=5
So we now know that the other shape is the first but divided by 2
15/2= 7.5
X = 7.5
What is the value of 8+ n, when n is equal to 15?
Answers
Answer:
23
Step-by-step explanation:
If n=15 then you do 8+15
Answer:
[tex]\huge{\boxed{\bold{\sf{ 23}}}}[/tex]
Step-by-step explanation:
If the value of variables of algebraic expression are given, the value of the term or expression can easily obtained by replacing the variables with numbers.
Lets start:
Given : value of n = 15
To find : value of 8 + n
Replacing the value of n with 15, we get:
[tex]8 + 15 = \boxed{ \sf{ 23}}[/tex]
Hope I helped!
Best regards!
~[tex]\sf{TheAnimeGirl}[/tex]
Two sides of a rectangle are the some length. r.The other two side are each 4 meters .The perimeter of the rectangle is 26 meters.
Write a equation that represents the situation
Answers
what is the solution to 7.5d=2.5d
Answers
Answer:
d = 0
Step-by-step explanation:
To find the solution to the given equation, we must solve for d in the equation.
7.5d = 2.5d
Subtract 2.5d from both sides.
5d = 0
Divide both sides by 5.
d = 0
So the solution to the equation would be d = 0.
I hope this helps. Happy studying.
a whisper volume as a room that allows two people to stand on opposite side of the template luckily shape long and hear each other's Whispers. The locations at which they can hear one another are the foci of the ellipse. If the room has a major axis 122 ft and a minor axis of 22 ft, how far apart, in feet, are the two people?
Answers
Answer: 120 ft
Step-by-step explanation:
The Ellipse equation is: [tex]\dfrac{(x-h)^2}{a^2}-\dfrac{(y-k)^2}{b^2}=1[/tex] where
(h, k) is the center"a" is the horizontal radius"b" is the vertical radiusc is the distance from the center to the foci: |a² - b²| = c²Given: horizontal diameter = 122 → horizontal radius = 61 = a
vertical diameter = 22 → vertical radius = 11 = b
Foci (c): 61² - 11² = c²
3721 - 121 = c²
3600 = c²
±60 = c
Let (h, k) = (0, 0)
Then the foci are located at -60 and +60.
The distance between them is 60 + 60 = 120
What is the length of the dotted line, to thr nearest inch?
Answers
Answer:
2. 11 inches
Step-by-step explanation:
6^2 + 8^2 = 100
square root of 100 = 10
10^2 + 5^2 = 125
square root of 125 = 11.18033989
11.18033989 will say the same cause it 11.1 so it will be 11
Dividing integers.word problems.
Answers
Answer:
Step-by-step explanation:
Sign. We will get a positive number. So a positive divided by positive is positive and a negative divided by a negative is also positive. Now if the two numbers have different signs.
PLEASE HELP!!!
what constant needs to be added to -2 in the equation y=3x^2+18x-2
Answers
Answer:
Add with 2
Step-by-step explanation:
y＝3x²+18x -2+2
y = 3x²+18x+0
y=3(x+6)
x=0 x=-6
you missed an a in your art course. your point total was 416. how many points were possible in the course
Answers
Answer: 16
just took the test
Step-by-step explanation:
complete the square and identify the vertex of y=x^2-8x+3
Answers
Answer:
yes because someday we meet your husband
Which is the solution to the equation 8.25 + one-fourth w = 10.75? Round to the nearest hundredth if necessary.
0.63
4.75
10
76
Answers
Answer:
10
Step-by-step explanation:
[tex]8.25 + \frac{1}{4} w = 10.75[/tex]
Subtract 8.25 from both sides.
[tex] \frac{1}{4} w = 2.5[/tex]
Multiply by 4 in both sides.
[tex]w = 10[/tex]
Answer: 10
Step-by-step explanation:
Subtract 8.25 from both sides.
Now have 1/4w=2.5
Multiply both sides by 4.
Now you have w=10
Elena wants to make a scale drawing of her bedroom. Her bedroom is a rectangle with length 500 cm and width 300 cm. She decides on a scale of 1 to 50. What is the length and width of the scale drawing of Elena’s bedroom, using the scale of 1 to 50?
Answers
Answer:
Length~ 25,000 cm Width~ 15,000
One-eighth of a bookstore's magazines are sold on a Friday. If 1/4 of the remaining magazines are sold the next day, what fractional part of the magazines remains at the end of the second day?
Answers
Answer:
5/8
Step-by-step explanation:
These types of problems only require you to know how to make fractions similar in denominators (or the GCF).
If one-eighth of the store’s books are sold and then the next day 1/4 of the store’s books are sold then we simply only need to add the fractions and minus them from 1.
To do this we need to make 1/4 into an eighth. The GCF between 4 and 8 is 8 because you can multiply 4 by 2 to get 8, therefore you need to multiply 1/4 by 2/1 (or just 2). 1/4*2/1= 2/8.
Now that we know what 1/4 is in eights we want to add 2/8 to 1/8 which would be 2/8+1/8=3/8. Now we minus 3/8 from 1 to get our remaining amount of storage. Now all we need to do is think how much eighths is one, to do this just think what divided by 8 is one, which would be 8. 8/8=1. Therefore, 8/8-3/8=5/8.
The area of a rectangle is 1824 square feet. The length is 48 feet. What s the width?
Answers
Answer:
The width of the rectangle is 38.
Step-by-step explanation:
I know this because if I divide the area by the length then I should get the width.
So 1824/48=38
Find the slope of the line through
(-3, 19) (-1, -6)
Answers
Answer
-1.5
Step-by-step
How to find the range with only the domain?
Answers
Answer:The average person walks past at least 16 murderers in their lifetime.
Step-by-step explanation:duhhhhhhhhhhh
Which is greater, 1 7/12 gallons or 1 5/8 gallons?
Answers
Answer:
1 7/12
Step-by-step explanation:
Answer:
1 5/8
Step-by-step explanation:
1 7/2 = 1.5833333333 (you get what i mean)
1 5/8 = 1.625
HOPE THIS HELPS
PLZ MARK BRAINLIEST
Given the function f(x)=3x+2, what is x if f(x)=17?
Answers
Answer:
53
Step-by-step explanation:
plug in the number in place of the x.
If f (x)=2x^2+5 square root x-2
Answers
The value of f(2) in the given algebraic expression is: 18
How to solve the Algebraic Expression?The algebraic expression we are given is expressed as:
f(x) = 2x² + 5√(x + 2)
Now, we want to find f(2) which means we want to find the range when the domain is x = 2. Therefore we solve it as:
f(2) = 2(2)² + 5√(2 + 2)
f(2) = (2 * 4) + 5√4
f(2) = 8 + 5√4
f(2) = 8 + (5 * 2)
f(2) = 8 + 10
f(2) = 18
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Complete Question is:
If f(x) = 2(x)^2 + 5 square root (x+2), complete the following statement f(2) = ______
What is the solution of this equation?
8b = 8
Answers
Answer:
b = 1
Step-by-step explanation:
8b = 8
divide each side by 8: b = 1
I hope this helped, please mark Brainliest, thank you!
Round to the nearest whole foot.
Answers
Answer:
493
Step-by-step explanation:
