Answer:
We start with the equation:
(x^2 - 1)/(x + 1) = 2
We want to rewrite this in standard form.
We can multiply both sides by (x + 1) to get:
((x^2 - 1)/(x + 1))*(x + 1) = 2*(x + 1)
x^2 - 1 = 2*(x + 1) = 2*x + 2
Now we can move all the terms to one side to get:
x^2 - 1 - 2 - 2*x = 0
x^2 - 2*x - 3 = 0
And this is a standard quadratic equation, that we can solve by using the Bhaskara's formula, this will give us the solutions:
[tex]x = \frac{-(-2) \pm \sqrt{(-2)^2 - 4*1*(-3)} }{2*1} = \frac{2 \pm 4}{2}[/tex]
Then the two solutions are:
x = (2 + 4)/2 = 3
x = (2 - 4)/2 = -1
The formula shows that c, the total cost of buying pizzas at Al's restaurant depends on p, the number of pizzas ordered.
c=9p
What is the independent variable in the equation?
Answer:
p, the number of pizzas ordered
Step-by-step explanation:
The independent variable in the equation will be the variable that controls the cost.
Since the total cost will depend on the number of pizzas ordered, the number of pizzas ordered will be the independent variable.
The total cost is the dependent variable, since it depends on the number of pizzas.
So, the independent variable in the equation is p, the number of pizzas ordered.
Help Me Plz 24=6a Plz
Answer:
a = 4
Step-by-step explanation:
just divide 24 by 6
a = 4
Hope this helped! Have a nice day! Plz mark as brainliest!!! :D
-XxDeathshotxX
Answer:
If your solving for A, A=4
Step-by-step explanation:
Divide 6 on both sides
Can the following properties of figures change when transformed with a rigid motion? Move each letter a-h to the appropriate box.
A. Side Lengths
B. Slope of a Side
C. Orientation
D. Area
E. Interior Angles
F. Location in the plane
G. Parallel Lines in the pre-image
H. Perimeter
Yes, Can Change No, Can't Change
Carly went for a walk and jog
• She started walking.
• After a few minutes, Carly began jogging at a faster speed than she was walking
• Carly got tired then slowed down to a slower speed than she was jogging
which graph best represents the distance Carly went?
Answer:
I believe D
Step-by-step explanation:
The reason is she starts off slowly but then keeps on gaining up and up.
Use the GCF to factor:
16h + 24m
Answer:
8(2h +3m)
Step-by-step explanation:
Greatest common factor is 8
8(2h +3m)
3) The population of a type of bacteria, starts with 100, and grows at a rate of 300% every
day.
a) Write a formula that models this situation.
b) How many bacteria will there be in a week?
c) How many will there be in a month?
Pls help show work
50 elevens-1 elevens
Answer:
Step-by-step explanation:
50 elevens-1 elevens = ( 50 -1 ) elevens = 49 elevens
or 49 x eleven = 49 x 11 = _______ (use your calculator here)
Answer:
( 50 -1 ) elevens = 49 elevens = 49 x 11 = 539
or
50 elevens - 1 elevens = (50 x 11) - (1 x 11)
550 - 11 = 539
Use the distributive property to expand (simplify): 13(9 + g)
13g+117
Step-by-step explanation:
just distribute the 13 to each value in the parentheses
At the grocery store, 4 pints of ice cream cost $7.32. How much would 20 pints of ice cream cost?
Answer:
$36.6 for 20 pints of ice cream
Step-by-step explanation:
4 pints = $7.32.
20 pints = ?
you need to cross multiply or you can just multiply $7.32. with 5.
Can someone find the area of the rhombus?
Answer:
A=270 in^2
Step-by-step explanation:
A=d1*d2/2 formula for A using the diagonals
A=45*12/2
A=540/2
A=270 in^2
HELP ASAP!!!
Grocery wants to build a warehouse that is equidistant from its three stores L, M, and N. Which construction correctly finds the best location of the warehouse?
ONLY ANSWER WITH LOGIC REASONING AND NOT FOR POINTS please.
Find the distance to the nearest hundredth between the points A (1,-4) and B
(9,5).
What is the volume of a sphere with a radius of 6.1 m, rounded to the nearest tenth of a cubic meter?
Answer:
V≈950.78m³
Step-by-step explanation:
Solve the system and determine whether it is consistent or inconsistent and dependent or independent.
2x – 4y = 10
-12x + 24y = -60
Find the measure of angle F
Answer:
∠ F = 80°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 6 , then
sum = 180° × 4 = 720°
Sum the interior angles and equate to 720
7x + 7x + 4x + 7x + 7x + 4x = 720
36x = 720 ( divide both sides by 36 )
x = 20
Then
∠ F = 4x = 4 × 20° = 80°
If f (x ) = 3x , what is f (-2) and f (2)?
Answer:
b. -6 and 6
Step-by-step explanation:
Answer:
B. -6 and 6.
Step-by-step explanation:
It's shown that -2 and 2 are the inputs on this particular equation. That means they are the x values they want you to find the corresponding y value for. So, you can solve these by just plugging in the numbers. So, replace x in the original equation with -2 and 2 and then evaluate. [tex]f(x)=3 *-2=-6[/tex] and [tex]f(x) = 3*2=6[/tex]. Good luck!
One day a retail store received a box of 24 shirts. If this shipment had 6 defective shirts, what can the store expect for upcoming shipments?
F.
A box of 32 shirts will have 12 defective shirts.
G.
A box of 40 shirts will have 10 defective shirts.
H.
A box of 48 shirts will have 3 defective shirts.
J.
A box of 64 shirts will have 8 defective shirts.
Answer:
the answer is H.
Step-by-step explanation:
Which items are discounted less than 15%? Select all that apply.
A) $199.99 smartphone on sale for $167.99
B) $28,100 car on sale for $25,750
C) $58 jeans on sale for $50
D) $1.99 song download on sale for $1.75
E) $129 pair of shoes on sale for $105
I WILL MARK BRAINLIST
Answer:
b
Step-by-step explanation:
What is the same as 7/3
Answer:
3.5/1.5 or 14/6
Step-by-step explanation:
equivalent
Rewrite in simplest terms: 8(-10r-9)+9r
Answer:
-71r-72
Step-by-step explanation:
8(-10r-9)+9r
Distribute the 8
-80r -72 +9r
Combine like terms
-80r+9r -72
-71r-72
Find the value of x. The figures are not drawn to scale. Pis the center of the circle.
Answer:
6.7 feet i think...
Step-by-step explanation:
the middle line is 12 feet and the dot is about in the middle of the line
Answer:
6.7
Step-by-step explanation:
if you look very closely you can see the other explanation above mine
You're Welcome!
Which inequality is equivalent to this one? y-85-2 y-8+82-2+8 oy- 8+8
Answer:
The answer is the forth one , Y-8+2⩽-2+2
The equivalent inequality of y - 8 ≤ -2 is y - 8 + 8≤ -2 + 8
How to determine the equivalent inequality?The inequality is given as:
y - 8 ≤ -2
Add 8 to both sides of the inequality
y - 8 + 8≤ -2 + 8
Hence, the equivalent inequality of y - 8 ≤ -2 is y - 8 + 8≤ -2 + 8
Read more about inequalities at:
https://brainly.com/question/11234618
Andrew walks 3/4 mile in 10 minutes. Jill walked 4/5 in 15 minutes. What was the difference in their speeds, in miles per hour?
Answer:
1.3 mph I think
Step-by-step explanation:
There are _______ kilometers in 5,000 centimeters.
Dexter’s aquarium holds 4.5 gallons of water. He needs to add some chemicals to balance the pH level in the aquarium. However, the chemicals are in liters. There are approximately 3.8 liters in 1 gallon. Which measurement is closest to the number of liters of water in Dexter’s aquarium?
A 1.18 L
B 0.7 L
C 8.3 L
D 17.1 L
Answer:
the answer is d 17.1 L
Step-by-step explanation:
Jonny has $50 in a savings account. Each week, he deposits $13 in the account. Jonny's brother has $90 in a saving account. Each week, he deposits $11 in the account. Write an algebraic expression to describe how much money Jonny and his brother will have in their accounts after m months.
Answer:
140 + 96 m
Step-by-step explanation:
There are 4 weeks in 1 month.
Therefore:
Jonny has $50 in a savings account. Each week, he deposits $13 in the account.
$50 + $13 × 4m
The algebraic expression is given as:
50 + 52m
Jonny's brother has $90 in a saving account.
Each week, he deposits $11 in the account.
The algebraic expression is given as:
$90 + $11 × 4m
90 + 44m
An algebraic expression to describe how much money Jonny and his brother will have in their accounts after m months is written as:
Amount Jonny has + Amount his brother has
50 + 52m + 90 + 44m
= 50 + 90 + 52m + 44m
= 140 + 96 m
Write the equation of a line with that passes through the
points (-3, -2) and (6,1)?
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
: Y = 1/3x - 1
:
M = y2 - y1/ x2-x1
M = 6 - (-3) / 1 - (-2)
Y = 1/3x + b
Then substitute one of the points into the equation
-2= 1/3(-3) + b
-2 + 2 + b = 1/3(-3) +b - b + 2
-b = 1/3(-3) + 2
-b = 1
b = -1
Y = 1/3x - 1
Then i plugged it into
!
<!> ! <!>
-
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Suppose the average driving speed on family trip is 48 mi/h. Which function rule models the distance traveled d(t) as a function of time t spent traveling. A. d(t) = t + 48 B. d(t) = 48 - t C. d(t) = 48t D. d(t) = t/48
WILL GIVE BRAINLIEST!
Solve. Use the discount equation
S = R − rR,
where S is the sale price, R is the regular price, and r is the discount rate.
An exercise bike is on sale for $330, having been marked down 25% off the regular price. Find the regular price.
Answer:
$440
Step-by-step explanation:
Find slope of line that passes through the points (2,-5) and (3,4).
Answer:
The slope is 9/1 or just 9.
Step-by-step explanation:
I used the y1-y2/x1-x2 slope formula.