Answer:
2t^2 - 37t + 171
Step-by-step explanation:
distrube the - to the (t-9) and then combine like terms
Answer:(2t2 + 27t) - 162 = 0
STEP
2
:
Trying to factor by splitting the middle term
2.1 Factoring 2t2+27t-162
The first term is, 2t2 its coefficient is 2 .
The middle term is, +27t its coefficient is 27 .
The last term, "the constant", is -162
Step-1 : Multiply the coefficient of the first term by the constant 2 • -162 = -324
Step-2 : Find two factors of -324 whose sum equals the coefficient of the middle term, which is 27 .
-324 + 1 = -323
-162 + 2 = -160
-108 + 3 = -105
-81 + 4 = -77
-54 + 6 = -48
-36 + 9 = -27
-27 + 12 = -15
-18 + 18 = 0
-12 + 27 = 15
-9 + 36 = 27 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and 36
2t2 - 9t + 36t - 162
Step-4 : Add up the first 2 terms, pulling out like factors :
t • (2t-9)
Add up the last 2 terms, pulling out common factors :
18 • (2t-9)
Step-5 : Add up the four terms of step 4 :
(t+18) • (2t-9)
Which is the desired factorization
Equation at the end of step
2
:
(2t - 9) • (t + 18) = 0
STEP
3
:
Theory - Roots of a product
3.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation:
Step-by-step explanation:
) Multiply. What is the product
(3 x 10^9) * (2 x 10^17) in scientific notation?
Answer:
6 ×10^26
hope it helped
have a good day mate
Answer:
6x10^26
Step-by-step explanation:
If a retailer has an item that is priced at $3.54 and wants to sell it for 20% less, the markdown will be _____.
Answer:
KNMOJAO0 GPR5PWQ3]
Step-by-step explanation:
vgjaseh jvgofrAQ vfjswA
Answer:
:)
Step-by-step explanation:
well if u take 3.54 x 20%, you get 0.708 or 70 cents.. so i’m guessing 70 cents.
Can you explain how you got the answer too because I don’t understand
Answer:
60
Step-by-step explanation:
The whole thing is 180 so if you subtract 180 from 120 you get 60.
Answer:
60 degrees since a straight line is 180 degrees
Step-by-step explanation:
Since part of it is 120 degrees the other part must be 60 because 120 + 60 = 180
when we ordered pizza, 75% of the class wanted pepperoni. of 21 people wanted pepperoni, how many people are in the class
Answer:
28 people
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
Find the measure of <BAC
Answer:
56 degrees
Step-by-step explanation:
please help! (URGENT)
Answer:
x=8
Step-by-step explanation:
you gotta trust me bro its 8
Find the 25th term in the arithmetic sequence: 23, 223, 423, 623,...
Answer:
Step-by-step explanation:
Assuming that 23 is the first term
4823
25th term of arithmetic sequence is 4,823
Given arithmetic sequence:
23, 223, 423, 623,...
Find:
25th term of arithmetic sequence
Computation:
First term a = 23
Common difference d = A2 - A1
Common difference d = 223 - 23
Common difference d = 200
Number of term n = 25
So,
An = a + (n - 1)d
A25 = 23 + (25 - 1)(200)
A25 = 23 + (24)(200)
A25 = 23 + 4,800
A25 = 4,823
Learn more:
https://brainly.com/question/18109692?referrer=searchResults
give me the most DETAILED explanation.
6 + 6 - 6 x 6 ÷ 6 = ?
Do anyone know this answers
Answer:A. 20 B. 70 C.20 D. 70 E. 70
Step-by-step explanation:
Hope this helps!
CAN SOMEONE HELP ME PLEASEEE
Answer:
a. 45 degrees
b. 315 degrees
c. 8π
d. π
e. 7π
f. 16π
g. 2π
HELP me help help help help
Answer:
(I'll edit this when I get home with the answer)
Step-by-step explanation:
As you see here, draw a line like that, and than each of those 2 triangles have 3 angles that get to 180° in total, so just make an equation of the 3 angles that equals to 180° and than solve for the variable there
Help This isnt super hard but yeah
Answer:
Kappa
Step-by-step explanation:
The y-intercept is the start weight. Mochi is 1 and Kappa is 2.
Hope this helps.
Kappa is heavier. He weighed 2 pounds at birth, while Mochi weighed only 1 pound
The ratio of the measure of the three angles of a triangle is 3:4:8. Find the mesure of the large angle
Answer:
96°
Step-by-step explanation:
Ratio of angles :
3 : 4 : 8
Sum of angles in a triangle = 180°
The value of the largest angle = angle with the largest ratio
This is the value of the angle with ratio 8
Sum of ratio : (3 + 4 + 8) = 15
Hence,
(8 / 15) * 180°
(8 * 180°) / 15
1440 / 15
= 96°
Using {0,1,3,4,5,6,9}, how many four-digit numbers with different digits can be produced between 4000 to 5000, if the numbers must be divisible by 9?
Answer:18
Step-by-step explanation:
1) the volume of right circular cone is 9856cm² . if the diameter of the base is 28cm , find height of cone .
Need help ASAP !!
( I accidentally clicked an answer )
Answer:
b
Step-by-step explanation:
not 100% sure but i think it is b
What’s the value of x
Answer:
C. x=42
Step-by-step explanation:
16 + 3x + y = 180
126 + 16 + y = 180
y = 38
16 + 3x + 38 = 180
54 + 3x = 180
3x = 126
x=42
The number of bacteria in a petri dish culture triples every two days. Initially there were 250 bacteria present. Which equation models the number of bacteria B after T days?
A. B=250•3^t+2
B. B=250•3^2t
C. B= 250•3^t/2
D. B=250•3^t^2
please only respond if you know the answer :)
Answer:
B
Step-by-step explanation:
B = 250 * 3^2t
Is the equation y=3x in slope-intercept form? Explain. The equation y=3x in slope-intercept form. Question 2 The slope is and the y-intercept is a .
Given:
The given equation is
[tex]y=3x[/tex]
To find:
Whether the given equation is in the slope intercept form or not, then find the slope and y-intercept.
Solution:
Slope intercept form of a linear function is
[tex]y=mx+b[/tex] ...(i)
Where, m is the slope and b is the y-intercept.
We have,
[tex]y=3x[/tex]
It can be written as
[tex]y=3x+0[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]m=3,b=0[/tex]
Therefore, the given equations is in slope intercept form. The slope of the line is 3 and the y-intercept is 0.
Solve the equation
x2 + 4x - 7 = 0
by completing the square.
Give your answers correct to 2 decimal places.
Answer:
x ≈ - 5.32, x ≈ 1.32
Step-by-step explanation:
Given
x² + 4x - 7 = 0 ( add 7 to both sides )
x² + 4x = 7
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(2) x + 4 = 7 + 4
(x + 2)² = 11 ( take the square root of both sides )
x + 2 = ± [tex]\sqrt{11}[/tex] ( subtract 2 from both sides )
x = - 2 ± [tex]\sqrt{11}[/tex]
Then
x = - 2 - [tex]\sqrt{11}[/tex] ≈ - 5.32 ( to 2 dec. places )
x = - 2 + [tex]\sqrt{11}[/tex] ≈ 1.32 ( to 2 dec. places )
Pleaseeee help !!!!!!
Answer:
Step-by-step explanation:
its B
Answer:
b
Step-by-step explanation:
3(9x + 14) = 3 * 9x + 3 * 14 = 27x + 42
hiiiii! ok plz plz help!!!! i’ll mark brainlist first answer! also know that ur worth every breath! <3
marco and his friends brought game tokens for $15 and three admission tickets to fun palace. let t represent the cost of an admission ticket. determine if each statement below is true or false.
b. if each admission ticket costs $2.50, then marco and his friends spent $22.50 in all. TRUE OR FALSE????
Answer: True
Step-by-step explanation:
Cost = 15 + 3t
22.5 = 15 + 3(2.5)
22.5 = 15 + 7.5
22.5 = 22.5 <— true
Answer:
true
Step-by-step explanation:
2.50 x 3 = 7.50
15 + 7.50 = 22.50
22.50 = 22.50
The cost for an eighth-grade party is $450 for room rental, entertainment, and
decorations, plus $20 per person for food. Tickets for the party are sold for $25. What is
the break-even point?
how many people????????????
On Tuesday Gabriella bought ten posters, On Wednesday half of all the posters that she had were destroyed.
On Thursday there were only 19 left. How many did she have on Monday?
In WXY y=3.6 w=6 and X=147
Answer:
[tex]wxy = 6 \times 147 \times 3.6 \\ = 3175.2[/tex]
The number of inches in c feet is.
Answer:
this didn't make sense
Step-by-step explanation:
can u explain it again sorry
HELP
HELP
ITS HARD
pls pls pls pls pls
a 24 ft ladder is leaning against a 20 ft building, what is the distance between the bottom of the ladder and the base of the building?
Geometry Substitution
I’m confused on how to substitute can someone give me a step by step explanation! Please
Answer:
x = 3
Step-by-step explanation:
I have attached a picture of me explaining you step by step.
Hope this helps, thank you !!
please help me
give u 10pts
Answer:
The graph is not a function.
Step-by-step explanation:
Using the "vertical line test" to attach a vertical line to each of the points on the graph, we will find that the vertical line that passes through (0,0) has ot one, but two points on it. Remember, if the vertical line passes through more than one points, the graph is not a function. As we know, the vertical line passes through two points, those being (0, -4) and (0, -3). So, we can conclude that the graph is not a function.
