Check whether (x – 1) (x +2) = x + 3 is a quadratic equation or not.
Answer:
no, it is not
Step-by-step explanation:
STEP 1: Simplify (x−1)(x+2).
[tex]x^2+x-2=x+3[/tex]
STEP 2: Move all terms containing x to the left side of the equation.
[tex]x^2-2=3[/tex]
STEP 3: Move all terms not containing x to the right side of the equation.
[tex]x^2=5[/tex]
STEP 4: Take the square root of both sides of the equation to eliminate the exponent on the left side.
[tex]x=[/tex]±[tex]\sqrt{5}[/tex]
STEP 5: The complete solution is the result of both the positive and negative portions of the solution.
[tex]x=\sqrt{5} ,-\sqrt{5}[/tex]
The drama club is selling tickets for a play. The profit, y, is
modeled by the equation, y = x2 – 40x – 3,200, where x is
the number of tickets sold. What is the total number of
tickets, x, that need to be sold for the drama club to break
even (profit = $0)?
Answer:
80 tickets
Step-by-step explanation:
Given the profit, y, modeled by the equation, y = x^2 – 40x – 3,200, where x is the number of tickets sold, we are to find the total number of tickets, x, that need to be sold for the drama club to break even. To do that we will simply substitute y = 0 into the given the equation and calculate the value of x;
y = x^2 – 40x – 3,200,
0 = x^2 – 40x – 3,200,
x^2 – 40x – 3,200 = 0
x^2 – 80x + 40x – 3,200 = 0
x(x-80)+40(x-80) = 0
(x+40)(x-80) = 0
x = -40 and x = 80
x cannot be negative
Hence the total number of tickets, x, that need to be sold for the drama club to break even is 80 tickets
11
6
8
17
12
?
19
28
11
Find the missing number
Answer:
The missing number is 14.
Step-by-step explanation:
Here is the pattern of the numbers
1.) A number.
2.) That number minus 5.
3.) That number plus 2.
4.) The cycle starts over.
17 - 5 = 12
12 + 2 = 14
Therefore, the missing number is 14.
Please help! Please explain too! Which measurements are possible lengths of a right triangle?
Answer:
A: 12, 16, 20
Step-by-step explanation:
Use Pythagorean Theorm,
[tex]12^2 + 16^2 = 20^2\\144 + 256 = 400\\400 = 400[/tex]
Amber, a very fit snail, moved 3/7
yard in an hour. She challenged the other snails to try to do better.
Minnie moved half as far as Amber. Enter how far Minnie went.
Minnie went
yard(s).
Answer: Minnie went 0.2142 yards in an hour.
Step-by-step explanation: If Minnie went half the distance, then you just divide 3/7 by 2.
Answer:
1/7
Step-by-step explanation:
Is the amount of candy bars sold proportional to the money Isaiah received? How do you know?
Answer:
The two quantities are not proportional to each other because a constant describing the proportion does not exist
Step-by-step explanation:
It's honestly just random numbers. None of them are proportional to the other side of the table.
Let me know if you need more help with the topic :)
Answer:The two quantities are not proportional to each other because a constant describing the proportion does not exist.
Source:trust me bro
What is the solution to this system of equations y=x-2 y=-0.5x+4
Answer:
Substitute y=x-2y=x−2 into y=-0.5x+4y=−0.5x+4.
x-2=-0.5x+4x−2=−0.5x+4
2 Solve for xx in x-2=-0.5x+4x−2=−0.5x+4.
x=4x=4
3 Substitute x=4x=4 into y=x-2y=x−2.
y=2y=2
4 Therefore,
\begin{aligned}&x=4\\&y=2\end{aligned}
x=4
y=2
Step-by-step explanation:
How many terms are in this expression?,,,, -2x + 3y - 4
Multiply. Write your answer as a fraction in simplest form. −1(4/5)=
Answer:
-4/5
Step-by-step explanation: When you multiply anything by one it is always itself but in this case the one has a negative in front of it so when you multiply a positive number by a negative it makes the number negative.
-1 * 4/5
-4/5
it want me to type here sooo um brainleist for the one who gibs the correct answer!!
Answer:
70 + 95 = 5(14 + 19)
Step-by-step explanation:
To factor the expression, 70 + 95, using the GCF, take the following steps:
✔️Find the prime factors of each number:
Prime factors of 70 = 2 × 5 × 7
Prime factors of 95 = 5 × 19
Multiply the factors that both numbers have in common to get the GCF.
This, both number have only one factor in common which is 5.
Therefore, the GCF of 70 and 95 is 5.
✔️Factoring the experession given using the GCF, we have:
70 + 95 = 5(14 + 19)
Calculate the amount of simple interest earned
$1,000 at 4% for 4 years
Answer:
$160
Step-by-step explanation:
A = $1,160.00
I = A - P = $160.00
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 4%/100 = 0.04 per year.
Solving our equation:
A = 1000(1 + (0.04 × 4)) = 1160
A = $1,160.00
The total amount accrued, principal plus interest, from simple interest on a principal of $1,000.00 at a rate of 4% per year for 4 years is $1,160.00.
Find the greatest common factor of the terms in the following expression 18x+12xy
=============================================
Explanation:
Ignoring the variables for now, the GCF of 18 and 12 is 6. This is the largest factor found in both values
18 = 6*312 = 6*2Now let's consider the variables. Both terms have an 'x' in them, but not a y. This means x will be tacked on the 6 we found earlier to get the overall GCF to be 6x.
Note how
18x + 12xy = 6x*3+6x*2y = 6x(3+2y)
Showing we can factor out the GCF using the distributive property.
Which statements are true? Check all that apply.
O is greater than -2/3.
2/3 is equal to -2/3
-1 < -1/3
-2/3 > 1/3
-1/3 > - 2/3
what is the value of 5w if w=6
Answer:
30
Step-by-step explanation:
5 x 6
Between the hours of 10pm and 6am, the temperature decreases an average of 3/4 of a degree per hour. How long will it take for the temperature to decrease by 5 degrees?
Answer: it take for the temperature to decrease by 5 degrees 5 weeks
Step-by-step explanation:10pm and 6am, the temperature decreases an average of 3/4 of a degree per hour.
The area is no more than 40 square feet. Write and solve an inequality that represents the value of x
Answer:
well its a triangle so
40 divide by 20 is 2
but you have to mutiply that 2 by 2
Step-by-step explanation:
4
Which is a factor pair of 72 ?
A. 12, 6
B. 14, 5
C. 23, 4
D. 24, 2
Answer:
A
Step-by-step explanation:
12x6=72
Answer:
a
Step-by-step explanation:
+
+
+
b
a
0
C
All of the following statements are all true except
The quotient of a and b is positive.
The quotient of O and cis O.
The quotient of cand bis negative.
The quotient of O and a is undefined.
Answer:
4. The quotient of 0 and a is undefined.
Step-by-step explanation:
Let's examine each statement to see which is true or untrue.
✔️Statement 1:
a is a negative number. b is also a negative number. A negative number dividing another negative number would give us a positive number. That is the quotient of a and b would be positive.
Statement 1 is true.
✔️Statement 2:
Dividing 0 by any number would always give us 0. Therefore the quotient of 0 and c would be 0.
Statement 2 is correct.
✔️Statement 3:
c is a positive number. b is negative number. Positive divided by negative = negative.
Statement 3 is correct.
✔️Statement 4:
Dividing 0 by any number would give us a quotient of 0.
Statement 4 is incorrect. It is incorrect because ⁰/a = 0. But a/0 = undefined.
Help plz ^-^ will give brainliest!
Answer:
E
Step-by-step explanation:
I took the test too!
9. A business records its net profits for the week by subtracting the operating costs from the revenue. The function P(x) = (140x) – (30x + 1200) represents the profits for one week, where x is the number of products sold. Which statement is true?
Answer:
Profit Function, P(x) Total Income minus Total Cost. Profit ... The next unit will make this Revenue. Marginal Cost Function, C'(x) The next unit will be this Cost ... A manufacturing company produces and sells tables. The cost function is given by: where x is the number of tables. The tables are sold for $200 each. Find . 1. The total cost of ...
Step-by-step explanation:
Given: D is the midpoint of AB: E is the midpoint of AC
Prove: DE 1 BC
Complete the missing parts of the paragraph proof
Proof
To prove that DE and BC are parallel, we need to show
that they have the same slope.
slope of DE
V
A(25, 20)
loro, o
CC
GDD
Elab, o)
slope of BC
BIOO)
C(2,0)
Therefore, because
DE I BC.
Answer:
Step-by-step explanation:
Slope of DE = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{c-c}{a+b-b}[/tex]
= 0
Slope of BC = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{0-0}{2a-0}[/tex]
= 0
Therefore, DE║BC because slopes of BC and DE are equal.
A car travels 58.6 miles an hour. if the car continues at the same speed for 14 hours, how many miles will it travel
Answer:
58.6*14=820.4 miles
Step-by-step explanation:
Calcular el valor de x en la siguiente figura
Answer:
demos los
Step-by-step explanation:
a television that usually sells for $499 is on sale for 10% off. what is the discount of the television?
Answer:
The discount is $49.90 the final price is $449.10
Step-by-step explanation:
what is the sum of 7/9 plus 3/5
Answer:
[tex]\frac{62}{45}[/tex]
Step-by-step explanation:
Give an example of a sequence whose first term is positive, whose second and third terms are negative, and the rest are positive.
If you are asking for just an arbitraty sequence, here it goes:
[tex]a_n=\{3,-5,-8,1,1,1,1,\dots\}[/tex]
I need help can you help me please
Answer:
with i cant see the problem so i dont lnow
help me please and you will be legend and nice
what is the solution to the system of equations?
A(7, 4 )
B(7, 13/3 )
C(8, 14/3 )
D(9, 7)
Answer:
d
Step-by-step explanation:
Can someone help out I’m really slow at this and don’t understand it please:)
Answer:
2) 160
3) 320
Step-by-step explanation:
you want to find out the slope so use the formula
y₂-y₁/ x₂-x₁ and plug in the numbers
320-80=240
4-1=3
divide 240/3= 80
multiply 80 * (x) so if we try and find x=2 it would be 160
80 * 3 = 240
check your work by multiplying 80 and 4 (320) which is your y value! hope this helps!