Answer:
x^2+13x+40 remainder 7. (or 7/(1-5))
Step-by-step explanation:
Answer:
x² + 13x + 40 + [tex]\frac{7}{x-5}[/tex]
Step-by-step explanation:
Using Synthetic division
dividing by ( x - 5) , thus use h = 5
5 | 1 8 - 25 - 193
↓ 5 65 200
+ + +
---------------------------------
1 13 40 7 ← remainder
quotient = x² + 13x + 40
Thus
[tex]\frac{x^3+8x^2-25x-193}{x-5}[/tex] = x² + 13x + 40 + [tex]\frac{7}{x-5}[/tex]
find the slope of the line passing through the following steps of points: (7,-4) and (-3,8)
Answer:
-3
Step-by-step explanation:
Finding the Equation of a Line Given Two Points:
Most people when asked, “What is the equation of a line?”, will answer, “y = mx + b”. This is the
equation of a line in what is called slope-intercept form where “m” is the slope and “b” is the y-
intercept. So, how do you find the equation of a line? There are several different ways that you can find
the equation of a line. I find the equation of a line everytime by following the same three steps:
Step 1: Find the slope of the line.
Step 2: Use the slope to find the y-intercept.
Step 3: Use steps 1 and 2 to write the answer.
I will explain these steps by looking a several examples. Please understand that there are often several
different ways to complete each math problem, but I have found through the years that students are most
successful when the do problems the same way each and every time they attempt the problem. If you
know a different way to find the answer that is great, but I am going to show how to do the problem one
way and use the same technique everytime I see this problem.
Example 1: Find the equation of the line passing through the points (–1, –2) and (2, 7).
Step 1: Find the slope of the line.
To find the slope of the line passing through these two points we need to use the slope
formula:
( )
( )
So the slope of the slope of the line passing through these two points is 3.
Step 2: Use the slope to find the y-intercept.
Now that we know the slope of the line is 3 we can plug the slope into the equation and
we get:
y = 3x + b
Next choose one of the two point to plug in for the values of x and y. It does not matter
which one of the two points you choose because you should get the same answer in either
case. I generally just choose the first point listed so I don’t have to worry about which
one I should choose.
(–1, –2) → –2 = 3(–1) + b Multiply to simplify the problem.
–2 = –3 + b Solve for b and you will have the y-intercept. b=1
Step 3: Write the answer.
Using the slope of 3 and the y-intercept of 1, the answer is:
y = 3x + 1
Ryan also earns money by selling colored watch bands with the watches he sells. The linear expression 100x – 50 models Ryan's additional income. What is the expression that models the new average profit, including the bands? Note: To obtain the new average profit expression, add the linear expression to the original rational expression. Write the new profit expression as one fraction.
Answer:
Average (additional) income = 100 - 50/x
Step-by-step explanation:
Ryan's additional income = 100x - 50 , where x = quantity of colored watch bands
Ryan's additional average income = Income / Quantity of watches sold
(100x - 50) / x
= 100 - 50/x
Leah had $24. She bought 7 sharpies and was left with $10. How much did each sharpie cost?
Answer: 2$ per sharpie
Step-by-step explanation:24 - 10= 14 7 x 2 =14
The obriens are buying new windows for their house. The company installs the new windows for 2100 the total cost for buying the windows and having them installed is 5323.50 of the o'briens pay 230.25 per window how many windows did they buy
Answer:
14
Step-by-step explanation:
Given that:
Cost of purchase and installation = 5323.50
Cost per window = 230.25
Cost of installation = 2100
Hence,
Total purchase cost of windows alone :
5323.50 - 2100 = 3,223.50
Therefore, the number of windows purchased is :
(Total purchase cost of windows alone / price per window)
(3,223.50 / 230.25)
= 14
Hence, 14 windows was purchased
the cost of 5 books and 4 pens is 115. if the cost of 1 book is RS 15 ,find the cost of 7 pens
Answer:
The cost of 7 pens is RS 70
Step-by-step explanation:
Let c=the cost of one book and p=the cost of one pen
5b+4p=115
b=15
5(15)+4p=115
75+4p=115
4p=115-75
4p=40
p=40/4
p=10
7p=7*10
7p=70
The cost of 7 pens is RS 70
Terrence swims 0.75 miles at the community pool before school each morning. Some days, he also goes to the pool in the afternoon and swims another 0.5 miles. If Terrence swam 5 mornings and 3 afternoons this week, how many total miles did he swim?
Answer:
5.25 miles
Step-by-step explanation:
0.75*5=3.75
0.5*3=1.5
3.75+1.5=5.25
Which equation matches the graph ?
Please help!
Answer:
[tex]B. \: \: y = 3x - 2[/tex]
Step-by-step explanation:
I how this HELPS you!
Is 5+x equal to 8+0.75x
Answer:
1.2
Step-by-step explanation:
X×5=0.75
X=(6, 5)
x=1.2
Answer:
no
Step-by-step explanation:
5+x=8+0.75x
x=12
what is the lowest term of 27/45
Answer:
3/5
Step-by-step explanation:
[tex] \frac{27}{45} = \frac{27 \div 9}{45 \div 9} = \frac{3}{5} \\ [/tex]
Consider the system of equations.
y = –2x + 4,
3y + x = –3
Which statement is true of this system of equations?
Both equations are in slope-intercept form.
The first equation converted to slope-intercept form is y + 2x = 4.
The second equation converted to slope-intercept form is .y = negative one-third x minus 1
Neither equation is in slope-intercept form.
Answer:
C) The second equation converted to slope-intercept form is .y = negative one-third x minus 1
Step-by-step explanation:
Answer:
c on edge
Step-by-step explanation:
Consider the system of equations.
y = –2x + 4,
3y + x = –3
Which statement is true of this system of equations?
Both equations are in slope-intercept form.
The first equation converted to slope-intercept form is y + 2x = 4.
The second equation converted to slope-intercept form is .y = negative one-third x minus 1
Neither equation is in slope-intercept form.
PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Step-by-step explanation:
The sum of all angles in a triangle is always 180.
So we can set up an equation
3/2x+1/2x+x= 180
3/2+1/2x+2/2x=180
3x+1x+2x=360
6x=360
x=60
A line passes through the points (-1, 4)
and (2,-2). What is the equation of this
line?
Answer:
Concept: Equation of Linear Systems
We will start by finding the slope with the equation y2-y1/x2-x1Hence: -2-4/2-(-1)= -2So we determined the slope to be -2 Now we need to find the y-intercept.Our standard equation is y=mx+b So -2=-2(2)+b b=2So our equation is y= -2x+2Give brainlistAnswer:
Slope =-3
Equation of a line
y-y1=m(x-x1))
y-4=-3(x+1)
y-4=-3x-6
y=-3x-6+4
y=-3x-2
Step-by-step explanation:
(NEED ASAP) 15 POINTS
Answer:
1 and 2 go in the 2nd area and 3 gos to the 1st and 4th gos to the last one
Step-by-step explanation:
hope this helped!
P.S. can i pls have brainlyist am trying to lv up thx! ;D
If x = 5, which inequality is true?
A. -6-3x > 2
B. -4 2x < -14
C. 2 + 3x > 20
D. 8-2x <7
D IS THE CORRECT ONE Step-by-step explanation:
10(y+3)-4y please help
Answer:6y+30
Step-by-step explanation:
simplify the expression :)<3
Answer:
6y + 30
Explanation:
10(y + 3) - 4y
Expand 10(y + 3): 10y + 30
10y + 30 - 4y
Simplify
= 6y + 30
- PNW
The Point Imperial is the highest point of the Grand Canyon and it is 8,800
- feet tall. A professional hiker climbed to the top of one of the rims of the
Grand Canyon that is 348 feet below Point Imperial. The hiker threw a rock
upward from that rim with an initial velocity of 18 ft per second. How
many seconds will it take the rock to hit the ground? Round your answer
to the nearest tenth of a second.
Answer:
1222
Step-by-step explanation:
sorry youve been waiting a minute
The number of students increased by 25% between last year and this year. Last year there were 280 students.
Answer:
11.2
Step-by-step explanation:
8. Quincy pays $150 every four months for karate lessons. Hailey pays $120 every three
months for karate lessons. At this rate, how much does Quincy pay per month for
lessons?
Answer:
$37.50 per month
Step-by-step explanation:
150/4 = 37.50 per month
Moises ate 10% of the candies in the bag. If Moises ate 16 candies, how many candies were there total in the bag?
Answer:
160
Step-by-step explanation:
10% of the candies is 16, and to get 100% from 10% is to multiply by 10.
So 10% *10 = 100%, then by association if 16 = 10%, then 16*10 will be the total 100%.
6. Complete: (ref.p.290)
a. 18 ft ..............d
b. 6.5c =.......................fl. oz
Answer:
a) What is d?
b) 52fl.oz
Each of three colored cups covers one of three objects. 1) The red cup is somewhere to the left of the white cup. 2) The coin is somewhere to the left of the bean. 3) The gray cup is somewhere to the right of the shell. 4) The bean is somewhere to the right of the gray cup. Under which color cup is the shell?
Answer:
Shell is under Red color cup
Step-by-step explanation:
We have 3 cups and 3 objects which they cover under them.
Taking into consideration (4) and (2) as they both describe the position related to bean
(4) Gray cup →Bean (right) (2) coin ← bean (left)
that means coin can either under Gray cup or left to gray cup.
Now
(1) Red ← White (left) (3) Shell → Gray (right)
This means if we consider coin to be left of gray cup then we can't place shell to the left of gray cup as required in (3)
so coin will be under gray cup
on forming the Color of cups and the coin below them
C1 C2 C3
Red Gray White
__ __ __
Shell coin Bean
So Shell is under Red color cup
To rewrite the expression ab+a+b+1, Jozelle first writes (ab+a) + (b+1). What property justifies this?
Answer:
I believe it is associative property of addition or commutative
Step-by-step explanation:
A boy wants to purchase 1,400 green marbles. If there are 70 green marbles in each bag, how many bags of marbles should the boy buy?
Answer:
20 bags
Step-by-step explanation:
1400/70
Answer:
20 bags
Step-by-step explanation:
1400 ÷ 70 = 20
wht is the volume of 729 cubed feet
Answer:
118085.765 hope this helps have a nice day please give me brainliest:)
Step-by-step explanation:
(02.02 LC)
If f(x) = 3(x + 4), find f(2).
I NEED HELP IMMEDIATELY
Answer:
f(2) = 18
Step-by-step explanation:
f(2) = 3(2 + 4)
f(2) = 3(6)
f(2) = 18
.
A cleaning solution is made from vinegar, lemon juice, and water. The table below shows the part of the total solution that is in each element. Mr. Allen needs 100 mL of a solution that is 30% vinegar, 15% lemon juice, and 55% water. How much of solution A will Mr. Allen need to make his cleaning solution?
a. 0 mL
b. 10 mL
c. 30 mL
d. 50 mL
Answer:
30 ml (c)
Step-by-step explanation:
Answer:
30 mL :)
Step-by-step explanation:
6th grade math i mark as brainliest
Step-by-step explanation:
Use PEMDAS
[tex]\begin{array}{ccc}214.8-(4^2+3)\times4&\\214.8-(16+3)\times4&Evaluate\\214.8-19\times4&Add\\214.8-76&Multiply\\138.8&Subtract\end{array}[/tex]
ASAP HELP NOW FOR BRAINLIEST
Answer: 18 miles per hour
Step-by-step explanation: The equation shows the slope as 18. This means that the unit rate per hour (t = number of hours) is 18/1.
Which of these equations has no solution 6(x - 2) = 6x - 3
2(x - 3) = 2x - 6
3(x - 2) = x - 6
go with your heart if you think that your heart is telling you something just go with it trust your instinct
Who wants an old Nitrotype account
I have the buganni vyrus something like that
Answer:
I do
Step-by-step explanation: