♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] (x + 5)(x - 4)(x + 2) = [/tex]
[tex](x + 5) ({x}^{2} - 2x - 8) = [/tex]
[tex] {x}^{3} - 2 {x}^{2} - 8x + 5 {x}^{2} - 10x - 40 = \\ [/tex]
[tex] {x}^{3} + 3 {x}^{2} - 18x - 40[/tex]
_________________________________
Compare :
[tex] {x}^{3} + 3 {x}^{2} - 18x - 40[/tex]
[tex] {x}^{3} + a {x}^{2} - 18x + b[/tex]
Thus :
[tex]a = 3[/tex]
and
[tex]b = - 40[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The amount of paper that the copy shop used this month was a 25% increase of the amount of paper they used last month. This month, there were 78 copies made. How many copies were made last month?
Answer:
98 copies
Step-by-step explanation:
25% of 78 is 19.5
19.5 + 78 = 97.5
Because there can't be half of a copy we round up based on the decimal. Therefore the answer would 98 copies.
Learning task 2
A. Solve the systems of equations by a) graphing b) elimination c) substitution
Eq. 1: 2x - 3y = -1; Eq. 2: y = x - 1
B. Solve the problem using any method.
The sum of two numbers is 32 and the difference is 2. Find the numbers
The given equations are
[tex]2x-3y=-1\cdots(i) \\\\y=x-1\cdots(ii)[/tex]
(a) Solution by graphing both the equations:
Graph for both the equations (i) and (ii) are in the figure. The point of intersection of both the graph is the solution of the equations.
From the graph, the point of intersection is (4,3)).
Hence, the required solution is (4,3).
(b) Solution by elimination method:
Equations (ii) can be written as -x+y=-1, now multiply it by 2, we have
[tex]-2x+2y=-2\cdots(iii)[/tex]
Add equations (i) and (iii), we have
2x-3y=-1
-2x+2y=-2
__________
[tex]\Rightarrow -3y+2y=-1-2\\\\ \Rightarrow -y=-3\\\\ \Rightarrow y=3.[/tex]
Putting the value of y=3 in equation (i), we have
[tex]2x-3\times 3=-1 \\\\\Rightarrow 2x=-1+9=8 \\\\\Rightarrow x=8/2=4[/tex]
Hence, the required solution is (4,4).
(c) Solution by substitution method:
Substituting the value of y from equation (ii) to equation (i), we have
[tex]2x-3(x-1)=-1 \\\\\Rightarrow 2x-3x+3=-1 \\\\\Rightarrow -x=-1-4=-4 \\\\\Rightarrow x=4[/tex]
Putting the value of x=4 in equation (i), we have
[tex]y=4-1=3[/tex].
Hence, the required solution is (4,3).
Find the measure of each angle indicated. HELPPP PLEASE
Answer:
2
Step-by-step explanation:
Answer:
they equal 360 so add all and minus that by 360 like for example its 160 total minus 360-160
Step-by-step explanation:
The lengths of the three sides of a triangle are x +3,2x, and 5x - 35. What is the value of x if the perimeter of the triangle is 112?
A.17
B.18
C.12
D.14
E.26
find the domain and range. state whether each set of ordered pairs is a function or not.
set A: [(0,-8),(1,-1),(-7,-9),(4,3),(-6,6)]
set B: [(1,0),(-9,9),(6,8),(6,7),(-7,5)]
Answer:
Set A is a function
set B is not a function
3.8 x 10^2 +1.7 x10^3
Answer:
2080
Step-by-step explanation:
that's the answer i think Good luck :)
This problem has two parts, Part A and Part B
Select one answer for Part A and one answer for Part B.
help i give you brinly
When solving an equation, Gabrielle’s first step is shown below. Which property justifies Gabrielle’s first step?
Original Equation:
-2-2x+4=5
First Step:
-2x-2+4=5
A new shopping mall records 120 total shoppers on their first day of business. Each day after that, the number of shoppers is 10, percent more than the number of shoppers the day before. What is the total number of shoppers that visited the mall in the first 7 days?
Answer:
1138
Step-by-step explanation:
From the information given:
We can represent it perfectly in an exponential form:
[tex]m = p(q)^x[/tex]
where;
p = initial value = 120
q = base of the exponential form
q = 1 + r
here; r = rate in decimal = 10% = 0.1
Then q can now be = 1 + 0.1 = 1.1
Replacing it into the exponential form, we get:
[tex]m = 120(1.1)^x[/tex]
where;
x = number of days and m = number of shoppers
Thus:
For the first day:
[tex]m = 120(1.1)^x[/tex]
m = 120
For the second day:
[tex]m = 120(1.1)^1[/tex]
m = 132
For the third day:
[tex]m = 120(1.1)^2[/tex]
m = 145.2
For the fourth day
[tex]m = 120(1.1)^3[/tex]
m = 159.72
For the fifth-day
[tex]m = 120(1.1)^4[/tex]
m = 175.692
For the sixth-day
[tex]m = 120(1.1)^5[/tex]
m = 193.2612
For the seventh-day
[tex]m = 120(1.1)^6[/tex]
m = 212.58732
Thus; the total numbers of shoppers for the first 7 days is:
[tex]= 120+ 132 + 145.2 + 159.72 + 175.692+193.2612+212.58732[/tex]
= 1138.46052
≅ 1138
-c+1 > 2 now this one
-c + 1 > 2
-c > 2-1 Move 1 to subtract.
-c > 1
c < -1 When the coefficient is negative, moving the negative to another side as changing the sign of Inequality to opposite.
Thus, the answer is c < -1
Solve the Inequality
3x≤9
Answer:
x ≤ 3
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesStep-by-step explanation:
Step 1: Define inequality
3x ≤ 9
Step 2: Solve for x
Divide 3 on both sides: x ≤ 3Here we see that any solution x less than or equal to 3 would be a solution of the inequality.
-4-3(1-x)<7-2(x+2)
Its just this :)
Answer: the answer is x=12 and x=4
Measure 4 gallons of water using a 3 gallon jar and a 5 gallon jar
Answer
Fill the 5 gallon jug.
Pour the 5 gallon jug into the 3 gallon jug.
Empty the 3 gallon jug and pour the remaining 2 gallons in the 3 gallon jug.
Fill the 5 gallon jug and pour 1 gallon into the 3 gallon jug (remember it will only take one gallon)
Viola the remaining 5 gallon jug will have exactly 4 gallons remaining.
Answer:
use 4/5 of the 5 gallon jar or 1 and 1/3 of the 3 gallon jar
Step-by-step explanation:
Ughhh please helpppp!!!!
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
4 : 6 = 2/3
8/3 : 4 = 2/3
16/9 : 8/3 = 2/3
A real estate agent earns a salary of $20,000 a year and 6% commission on any sales. An agent sold 4 homes worth a total of $980,000 last year. What was the agent's total pay for the year, including salary and commission from the sales?
Answer:78,800
Step-by-step explanation:
HELP PLZ THIS I NEED TO KNOW THIS
Felicia, Ingrid, Meiko and Tatiana spent a total of $31.50 at the baseball game. Felicia spent $4.25. Ingrid spent twice as much as Felicia. Meiko spent $1.90 more than Ingrid. How much did Tatiana spend?
Answer:
[tex]Tatiana = \$8.35[/tex]
Step-by-step explanation:
Given
[tex]Total = \$31.50[/tex]
[tex]Felicia = \$4.25[/tex]
[tex]Ingrid = 2 * Felicia[/tex]
[tex]Meiko = \$1.90 + Ingrid[/tex]
Required
Determine amount spent by Ingrid
We have that:
[tex]Ingrid = 2 * Felicia[/tex]
Substitute $4.25 for Felicia
[tex]Ingrid = 2 * \$4.25[/tex]
[tex]Ingrid = \$8.5[/tex]
We also have that:
[tex]Meiko = \$1.90 + Ingrid[/tex]
Substitute $8.5 for Ingrid
[tex]Meiko = \$1.90 + \$8.50[/tex]
[tex]Meiko = \$10.40[/tex]
The total can be represented as thus:
[tex]Felicia + Ingrid + Meiko + Tatiana = Total[/tex]
[tex]\$4.25 + \$8.50 + \$10.40 + Tatiana = \$31.50[/tex]
[tex]\$23.15+ Tatiana = \$31.50[/tex]
Collect Like Terms
[tex]Tatiana = \$31.50 - \$23.15[/tex]
[tex]Tatiana = \$8.35[/tex]
Mayelle earns $18,000 a year. After a raise, she earns $19,500. What is the percent of increase in pay? Round to the nearest tenth of a percent.
8.3%
9.2%
7.7%
9.5%
Answer: 8.3% when rounded
Answer:
Mayelle has a 8.3% increase in pay
Ms. Ayers wrote a bonus problem on the board. If Jason correctly answers, he will get extra computer time. The problem is to write a statement that correctly relates the numbers 5 and 10. Which should Jason write?
Answer:
Step-by-step explanation:
Five is a factor of 10.
Two times five = 10
help me with this math prob
Answer:
awsome
Step-by-step explanation:
Answer:
Well..
Step-by-step explanation: Za Warudo
What sentence represents the number of points in the problem below?
A test is worth 80 points. Multiple-choice questions are worth 2 points, and
short-answer questions are worth 4 points. If the test has 25 questions, how
many multiple-choice questions are there?
A. The number of multiple-choice question points plus the number of
short-answer question points is 25.
B. The number of multiple-choice question points plus the number
of short-answer question points is 25.
C. The number of multiple-choice question points times the number
of short-answer question points is 80.
D. The number of multiple-choice question points plus the number of
short-answer question points is 80.
Answer:
Option D: The number of multiple-choice question points plus the number of short-answer question points is 80 is the correct answer.
Step-by-step explanation:
Given that:
Points worth of test = 80 points
There are Multiple choice questions worth 2 points and short answer questions worth 4 points.
2x+4y=80
Thus,
The number of multiple choice questions points plus the number of short answer question points is 80.
Hence,
Option D: The number of multiple-choice question points plus the number of short-answer question points is 80 is the correct answer.
tan 45 * cos 45 + tan 30 * tan square 60
Answer:
Regroup Terms: cos 45 tan 45x + tan^2 tan 30x, 60
Answer:
[tex]\frac{1}{\sqrt{2}}+\frac{3}{\sqrt{3}}[/tex] , by the way, the simplified is [tex]2.439157589[/tex]
Step-by-step explanation:
I included a chart so next time you don't need to worry
tan( 45 degrees) = 1cos( 45 degrees) = [tex]\frac{1}{\sqrt{2}}[/tex] tan( 30 degrees) = [tex]\frac{1}{\sqrt{3}}[/tex] tan squared (60 degrees) is the same as saying square the answer of tan (60 degrees). So tan( 60 degrees) = [tex]\sqrt{3}[/tex] , so squareWhich one is it pls help
Answer:
c
Step-by-step explanation:
Answer:
C. yes because BC/ST = AC/RT
Hope This Helps!
does anybody know this??
Answer:
A.
Step-by-step explanation:
im in geometry my teacher lidirally teaching this rn brainliest pls pls pls
type the expression that results from the following series of steps:
start with n add 2.
Answer:
Start with n add 2
n + 2
Mark me as brainliest
find the answer
x=Cm
Answer:
x = 16cm
Step-by-step explanation:
[tex]C^{2}[/tex] - [tex]A^{2}[/tex] = [tex]B^{2}[/tex]
[tex]20^{2}[/tex] - [tex]12^{2}[/tex] = 256
[tex]\sqrt{256}[/tex] = 16
1)Solve the system of equations using substitution or elimination. Your
12x - y = 24
-3x + 2y = -6
What is the y-intercept of the graph?
Answer:
The y-intercept is -2.
Step-by-step explanation:
Look at the graph and see where the line crosses the y-axis.
Answer:
-2
Step-by-step explanation:
The y-intercept is defined as the point where the line crosses the y-axis. It can be negative or positive. In this picture, the line crosses the y-axis at the point -2.
~theLocoCoco
where do I graph it at ??
PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
Answer:
I have attached a picture of the graph.
Step-by-step explanation:
So for 3 miles, they are charged $6 and for 5 miles, $8. This means that for 5-3 = 2 miles, they are charged $8-$6 = $2.
2 miles = $2
1 mile = $1
We will apply this charging rate for 3 miles since we know there is a flat fee added into it too.
3 miles = $3
Flat fee = $6 - $3
= $3
That means that at 0 miles, there is a flat fee of $3, and so the graph would start at 3 on the x-axis even when the y-axis (representing the miles) is at 0 (0 miles).
You also know that for each mile, there is an increase of $1, so the graph should increase upwards at 1 dollar per 1 mile. I have attached the graph for you.
Answer:
Graph at (3, 6) and (5,8) and YES they are proportional
(don't forget to correctly graph the x and y)