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:
Alicia purchased H half-gallons of ice cream for $3.50 each and P packages of ice cream cones for
$2.50 each. She purchased 14 items and spent $43. Which system of equations could be used to
determine how many of each item Alicia purchased?
(1) 3.50H + 2.50P = 43 (3) 3.50H + 2.50P = 14
H+P = 14
H+ P = 43
(2) 3.50P+2.50H = 43
P+ H = 14
(4) 3.50P + 2.50H = 14
P+H = 43
Answer:
3.50H + 2.50P = 43
Step-by-step explanation:
Source: Trust me bro
at point (0,2) can be reflected across the x-axis PLEASE HELP 50 POINTS
Answer:
(0,-2)
Step-by-step explanation:
Luis has a can of red paint and a can of white paint that are the same size the can of red paint is 2/3 full he mixes in 1/5 of thr can of white paint to make pink paint one the paint is mixed, what fraction of the can is filled with pink paint 1/5 3/8 7/15 13/15
Answer:
13/15
Step-by-step explanation:
Hope this helps!
You are working on decorating your home for the holidays. You enjoy hanging lights and so far have invested in $75 worth of lights. You notice a sale that you can get strands of lights for $5 a box this week. Write an expression that describes your total investment (money spent) in lights, depending on how many boxes (b) you buy.
Answer:
Step-by-step explanation:
i=75+5b
The expression that describes the total investment(money spent) in light is 75+ 5(b)
What are word problems?Word problems require the application of algebraic expression in solving real-life problems. It can be expressed with the use of variables and arithmetic operations.
From the given information:
The amount of money invested on lights = $75If a box (b) cost = $5The total investment spent in light = 75 + 5b
Learn more about word problems here:
https://brainly.com/question/21405634
#SPJ6
Carlos has 2 dollars more than half of the total amount of money his brother has. If x represents the amount of money Carlos's brother has, which expression can be used to represent this situation?
Answer:
[tex]y = 2 + \frac{1}{2}x[/tex]
Step-by-step explanation:
Given
Represent Carlos with y and his brother with x.
Analysing the statement one after the other:
Half of his brother's amount is: [tex]\frac{1}{2}x[/tex]
$2 more: means we add 2 to [tex]\frac{1}{2}x[/tex]
So, we have: [tex]2 + \frac{1}{2}x[/tex]
The above represent Carlos's amount.
So, the expression is:
[tex]y = 2 + \frac{1}{2}x[/tex]
Elliot was trying to factor 6z^2-18. He found the greatest common factor of these terms was 6.
Answer:
6(z^2-3)
Step-by-step explanation:
6z^2-18=6(z^2-3)
Alonzo has completed 44 Deliveries so far this week he needs to make 55 deliveries for the week what percentage of his delivery has Alonzo completed?80%
Answer:
80%
Step-by-step explanation:
Find 44/55 and multiply the result by 100%: (0.8)(100%) = 80% (completed)
Find the measure of angle b
I need help with math if you don't know the answer get out of the question and don't answer it and give the wrong answer or some link or even say "I don't know" or anything like that it's not fair to me cause it a waste of my points I will report your if you do that :) have a nice day and stay safe
Answer:
each person would get 2.6 apples hope that helps :)
please this is important I really need help
Answer:
The answer is <DOE
<DOE + <COD = A straight LINE, a.k.a, a LINEar pair
(6y + 10) - (2y + 3)
Answer:
4y+7
Step-by-step explanation:
First, remove the unnecessary parenthesis. Add like terms (In this case it’s y) So it will be 6y-2y. Which gives you 4y. And then after that 10-3, which gives you 7. So your final answer is 4y+7!!
Use the distributive property to find the equivalent expression.
4(2 + 3v) = +
Answer:
8+12v
Step-by-step explanation:
PLS HELP I HAVE TO DO THIS BY TONIGHTT
Alicia planted 45 tulip bulbs last year. This year she plans to plant 27 bulbs. Find the percent decrease in thenumber of tulip bulbs.
I got you !
Step-by-step explanation:
45 bulbs planted in first year.
65 bulbs the next year.
increase = 20 bulbs
Number of increase of planted tulip bulb is N = 65 - 45 = 20
( 20/45) x 100% = 44.4 % to the nearest tenths
A student walks at a rate of 1.5 meters per second for 4 seconds and then stops for 4 seconds. Then the student
continues walking at the original rate.
Which graph best represents the student's walk?
Answer:
A
Step-by-step explanation:
I finished the question and got it right
Graph is a way to represent a lot of data in a visual formal. The graph that best represents the student's walk is graph A.
What is a graph?A graph is a way to represent a lot of data in such a visual formal that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.
As we can see that the y-axis of the graph represents the distance traveled by the student while, the time taken by the student to cover the distance is given on the x-axis.
We know that the rate of 1.5 meters per second, means that the student will cover the 1.5 meters in 1 second, therefore, the line will be a slope that will represent the walk of the student. At time t=4 seconds, a student stopped for 4 seconds therefore, the time will increase but the distance will be constant for the student, therefore, the situation will be represented by a horizontal line.
Hence, the graph that best represents the student's walk is graph A.
Learn more about Graph:
https://brainly.com/question/14375099
2/5 in Fraction form?
Answer:
2/5 is fraction form.
0.4 is decimal form btw.
I need help with geometry
Answer:
it's option B)...
Step-by-step explanation:
de=8 df=10 a=d
Answer:
It will be D
Step-by-step explanation:
Hope this Helped
S There are 76 seats on a train. 19 seats are empty. What % of the seats on the train are empty?
Answer: %25
Step-by-step explanation: 19/76 = 0.25
How many photos in the shape of a parallelogram will it take to cover the bulletin board if each photo has a base of 6 inches and a height of 4 inches?
Answer:36
Step-by-step explanation:
I took the assignment
Answer:
It is 36
Step-by-step explanation:
I too has did assignemnt
What is the value of x?
A. 10
B. 15
C. 30
D. 45
Answer:
15
15
15
15
15 Liaoning dude
one step equations word problems. I ONLY NEED 3-8!!!!
what is the slope intercept form for y-5=3(x-3)
Answer:y=3x-4
Step-by-step explanation:
you add 5 on both sides
simplify
and get y on one side
slope is 3
the y intercept is -4
A line passes through the point (8, -2) and has a slope of 5/4. Write an Equation in point-slope form for this line
Answer:
y=5/4x-8
Step-by-step explanation:
Answer:
[see below]
Step-by-step explanation:
General Point Slope Form is:
[tex]y-y_1=m(x-x_1)\\\\\rightarrow \text{m - slope}\\\\\rightarrow (x_1,y_1)\text{ - given point}[/tex]
We are given the slope of (5/4) and the point of (8, -2).
Replace the variables with their appropriate values:
[tex]x_1 \rightarrow8\\\\y_1\rightarrow-2\\\\m\rightarrow\frac{5}{4}\\\\\text{Replace } x_1, y_1, \text{and } m \text{ with the appropriate values.}\\\\y-y_1=m(x-x_1)\rightarrow y-(-2)=\frac{5}{4}(x-8)\\\\\text{Simplify:}\\\\y-(-2)=\frac{5}{4}(x-8)\rightarrow y+2=\frac{5}{4}(x-8)\\\\\\\text{Our final answer is:}\\\\ \huge\boxed{y+2=\frac{5}{4}(x-8)}[/tex]
Hope this helps.
what does x equal in this equation -5x + 8 = -2
Answer:
x = 2
Step-by-step explanation:
-5x + 8 = -2
-5x + 8 - 8 = -2 -8
-5x = -10
-5x/5 = -10/5
-x = -2
x=2
Simplify the equation:
-5x = 2 + 8
-5x = 10
x = -2
Write the slope intercept form of the equation of each line
Answer:
The slope is 1/4 so the slope intercept form is y=1/4+3
Step-by-step explanation:
To find the slope the easiest way from looking at a graph is just to find the rise over run. From looking at the graph we can see that the next point from 0,3 is 4,4. The y here is increased by 1, which means the rise is 1. The x is increased by 4 so the run is 4. From putting rise (1) over run (4) the slope is 1/4. The formula for slope intercept is y=mx+b. m is slope so we substitue that for 1/4 so now we have y=1/4x+b. Then the b is the y intercept, or, at what point the line crosses the y line. Which in this case is 0,3 so the y intercept would be 3 because that is what height it crosses the y line.
En la multiplicación anterior p y q representan
dígitos diferentes a 0. ¿Cuál es el valor de q?
Answer:
Hola
Step-by-step explanation:
What is the slope of this line?
(sorry for the quality.)
Answer:
slope = - 1
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 8,6) and (x₂, y₂ ) = (0, - 2) ← 2 points on the line
m = [tex]\frac{-2-6}{0+8}[/tex] = [tex]\frac{-8}{8}[/tex] = - 1
Si un hombre de 1.75m de altura proyecta una sombra de 3.50m que sombra aproximada proyecta un poste de 8.25m
Answer:
4.25 m
Step-by-step explanation:
Resolvemos esta pregunta usando la fórmula:
Altura del hombre / Sombra de un hombre = Altura del palo / Sombra del palo
Sombra del hombre = 3.50 m
Altura de un hombre = 1.75 m
Sombra del palo = 8.50 m
Altura del palo = x
Por lo tanto:
1.75 / 3.5 = x / 8.5
Cruz multiplicar
1.75 × 8.5 = 3.5 × x
14.875 = 3.5x
x = 14.875 / 3.5
x = 4.25 metros
Por tanto, la altura del palo = 4.25 m
Gary started his Saturday with $5 in his pocket. He then set up a lemonade stand and sold cups of lemonade for $1 per cup.
Is this a proportional or additive relationship?
Question 1 options:
Proportional
Additive
Answer:
it's 5 how did I know bc I'm big brain;p that's the right answers it's ,5...
Answer:
Additive
Step-by-step explanation:
I took the test
can u help pretty pls and fast thank you
Answer: 20% Percent Discount
Step-by-step explanation:
$800.00 - $640.00=$160.00 / $800.00= .2 or 20%
hool: Practice & Problem Solving
ΘΑττ
2.1.PS-13
Question Help
A contractor bought 8.2 ft? of sheet metal. She has used 2.3 f? so far and has $177 worth of sheet
metal remaining. The equation 8.2x - 2.3x = 177 represents how much sheet metal is remaining and
the cost of the remaining amount. How much does sheet metal cost per square foot?
Sheet metal costs $ per square foot.
ANSWER=30
because if you 8.2-2.3 you get 5.9 and if you divide by 177 it is 30
hope it helps