The solution to the original equation will be -2 and -6
Given the function [tex](x + 3)^2 + (x + 3) - 2 = 0.[/tex]
If u = x + 3, the function in terms of "u" will be;
[tex]u^2+u-2=0[/tex]
Factorize the resulting equation as shown:
[tex]u^2+u-2=0\\u^2+2u-u-2=0\\u(u+2)-1(u+2)=0\\(u-1)(u+3) = 0\\u=1 \ and \ -3[/tex]
Since x + 3 = u
x = u - 3
If u = 1
x = 1 - 3 = -2
If u = -3
x = -3 - 3 = -6
Hence the solution to the original equation will be -2 and -6
Correct question:
Solve (x + 3)^2 + (x + 3) – 2 = 0. Let u = Rewrite the equation in terms of u. (u2 + 3) + u – 2 = 0 u2 + u – 2 = 0 (u2 + 9) + u – 2 = 0 u2 + u + 1 = 0 Factor the equation. What are the solutions of the original equation?
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What is the slope?
Please help me
Answer:
1/2
Step-by-step explanation:
slope is rise over run. Choose two points on the line that are whole numbers. Then put the rise (1) over run (2)
how much would it cost for a 9-hour repair
Which variable expression represents the following word phrases?
6 more than four times a number
A: 4n-6
B: 6-4n
C: 6+4n
D: 6>4n
Answer:
6+4n
Step-by-step explanation:
Which set of values are equivalent.
What is the distance between the points (5, 1) and (-3, -5)?
Answer: 10
Step-by-step explanation: d = √(x^²-x^₁)^2+(y^²-y^₁)^2 d = √ (-3-5)^2+ (-5-1)^2 d = √(-8)^2 + (-6)^2 d = √64+36 d = √100 d = 10
find the quotient 3^15 / 3^3
Answer:
531441 OR 3¹² is the answer.
Step-by-step explanation:
3¹⁵/3³
=> 3¹⁵⁻³
=> 3¹²
=> 531441
Therefore, 531441 OR 3¹² is the answer.
Hoped this helped.
How do you write 9,200 in scientific notation?
Answer:
9.2 x 10^3
Step-by-step explanation:
HOPE THIS HELPS and if it does brain pls thx
A movie-theater employee notes an inverse relationship between the theater's popcorn sales and its nacho sales. On a given night, the theater makes $1,540 from popcorn sales and $1,330 from nacho sales. If on the next night the employees sell $1,672 of popcorn, how much is earned from nachos?
Using proportions, it is found that $1,225 is earned from nachos.
This question is solved by proportions, using a rule of three.The measures have an inverse relationship, hence line multiplication is applied instead of cross multiplication.When the theater makes $1,540 from popcorn sales, it makes $1,330 from nacho sales. How much is earned from nachos when $1,672 is earned from popcorn?The rule of three is:
$1,540 - $1,330
$1,672 - $x
Applying line multiplication:
[tex]1672x = 1540 \times 1330[/tex]
[tex]x = \frac{1540 \times 1330}{1672}[/tex]
[tex]x = 1225[/tex]
$1,225 is earned from nachos.
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Hurry answer plsss I'll give brainlest
Answer:
2.32x10^-11
here ya go luv <3
Scale: 2inches = 1 ft
1.)Jenna's father is going to use the blueprint above to make a playhouse for her. The length of the entire first floor is 12 inches. What is the actual length?
2.)The width of the entire first floor it is 8 inches. What is the actual width?
3.)What scale factor did Jenna's father use to go from the drawing to the actual house?
4.)What is the perimeter of the first that floor Jenna's that father built?
5.) What is the area of the first floor that Jenna's that father built?
The actual lenght will be 6 fee
The actual width will be 4 feet
The scale factor that Jenna's father used to go from the drawing to the actual house is 1.5
The perimeter of the floor is 20 feet
The area of the first floor that Jenna's that father built is 24ft²
Given the conversion factor 2inches = 1feet
1) If Jenna's father is going to use the blueprint above to make a playhouse for her and the length of the entire first floor is 12 inches, the actual length in feet is expressed as:
12 inches = x
2inches = 1feet
_____________________________
2x = 12
x = 6 feet
Hence the actual lenght will be 6 feet
2) If the width of the entire first floor is 8 inches, the actual width is expressed as;
8 inches = x
2inches = 1feet
_____________________________
2x = 8
x = 4 feet
Hence the actual width will be 4 feet
3) Thee scale factor will be the ratio of the length to the width as shown:
Ratio = length/width
Ratio = 6/4
Ratio = 3/2
Hence the scale factor that Jenna's father used to go from the drawing to the actual house is 1.5
4) The perimeter of the floor = 2(L + W)
Perimeter = 2(6 + 4)
Perimeter = 2(10)
Perimeter of the floor is 20 feet
5) Area of the floor = length * width
Area of the floor = 6ft * 4ft
Area of the floow = 24ft²
Hence the area of the first floor that Jenna's that father built is 24ft²
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Mathematic 18 don’t understand
Answer:
8 x 10¹³ is your answers hopes it's helpful to you
What differences are there between a polynomial equation and a rational equation?
Answer:
It is a fraction
. f (x) = x +12×2-x-1 is an example of rational function.
It has numerator and denominator properties.
vertical asymptotes is the another property of rational function.
Numerater and denominator both are polynomials.
function expressed by numerator and denominator with ratio.
what's 9 plus 10 and not 21
Answer:
19
Step-by-step explanation:
Please Help
Find the area of a circle with radius,
r
= 87cm.
Give your answer rounded to 3 SF.
Step-by-step explanation:
so, to repeat, the radius r of the circle is 87 cm.
the area of a circle is
pi×r²
so, in our case
A = pi×87² = pi×7569 = 23,778.7148... cm²
so, how to give this answer with only 3 significant figures ?
as you can see, there are already 5 figures before the decimal point.
3 attempts :
1. 3 significant figures after the decimal point : 23778.715 cm²
2. scientific notation with 3 SF : 2.38×10⁴ cm²
3. converting to m² (1m² = 10000cm²) : 2.38 m²
Erika ran 3/8 mile. Maria ran 3/4 mile. Who
ran farther?
Answer:
Maria, because 3/4=.75
Step-by-step explanation:
3/4=.75
3/8=0.375
The bigger number is 3/4
g(x) = 3x + 1; Find g(7)
Answer:
22
Step-by-step explanation:
g(x) = 3x + 1
g(7) = 3(7) + 1
= 21 + 1
= 22
hope this helps! :D
have a miraculous day!! <3
mathematics 8
.................................................plz helpp
Answer:
[tex]y\geq 18x+19y[/tex]
[tex]x+y\leq 13[/tex]
Step-by-step explanation:
Hope this helped! :)
20 % of 2 is equal to
A. 20
B. 4
C. 0.4
D. 0.04
If Log 4 (x) = 12, then log 2 (x / 4) is equal to
A. 11
B. 48
C. -12
D. 22
Answer:
the answer to the first question is c. the second one is
2
\frac{x}{2}
2x
x/2
Step-by-step explanation:
Answer:
20% of 2 is equal to 0.4
log 2 (x / 4) is equal to 22.
a) Complete the table of values for x + y = 6
Х
-2
-1
0
1
2
3
y
Answer:
8 , 7 , 6 , 5 , 4 , 3
Step-by-step explanation:
Insert your x into the equation, then simplify for y.
What is greater -5 1/2 or 6.5
Answer:
6.5
Step-by-step explanation:
Emily and Andy each go to a hardware store to buy wire the table shows that the cost why in dollars for X inches of the wire they need Emily needs 25 feet of wire and he needs 11 yards of wire how much will each of them spend on wire
Answer:
simple. it is x*y if it is 2 dollar per foot, 25ft would be 50$. 11yards is 33ft *2$=66$. change your values as needed just an example
Can someone please help me I will mark brainliest please.
Answer:
GE = 8 inches
Step-by-step explanation:
The diagonals of a parallelogram bisect each other, then
GE = 2 × GH = 2 × 4 = 8 inches
What are the advantages of using a table to find equivalent ratios?
What are the advantages of using a graph to find equivalent ratios?
Explain why you prefer a table or a graph to compare equivalent ratios.
The advantage of using a table to determine the equivalent ratio is that, it easier to determine the unknown ratio.
The advantage of using a graph to determine the equivalent ratio is that, it helps to determine the exact value of the unknown ratio.
The use of table to find equivalent ratio makes it easier to determine the unknown ratio. The unknown ratio can easily be determined using interpolation method, this method gives the approximate value of the unknown ratio.
The use of graph to find equivalent ratio helps to determine the exact value of the unknown ratio. This method gives the exact value of the unknown ratio.
The use of table is better because it minimizes error from tracing the values from the graph.
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A park is rectangular with a length of 12 miles. If the area of the park is 68 square miles, what is its width? Input your answer as a fraction.
Answer:
17/3
Step-by-step explanation:
to find out the width, we need to divide the area by the length.
68/12=5.666666667
fraction form: 17/3 (5 2/3)
3(4 x 6)= (3 x 4) 6 is an example of the __________ property. A.commutative B.associative C. distributive D.inverse
the answer is assocative
[tex] \huge \bf༆ Answer ༄[/tex]
The property shown in the given question is an example of B. Associative property
[tex] \sf3(4 \times 6) = (3 \times 4)6[/tex]use the slope formula to show work
Answer:
[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{10 - 4}{ - 6 - 3} = \frac{6}{ - 9} = - \frac{2}{3} [/tex]
1
help!! due tommorrow
Answer:
a and d
Step-by-step explanation:
these simplify to .77 for A and .81 for B
Solve 4 | x + 7 |= 24.
Answer
either 168 or 164thats all i can tell you
Step-by-step explanation:
ms. cox and her three friends are dining at a restaurant. the food they order cost %80. the bill includes an additional 15% service charge. how much does each person pay if they share the bill equally
did i hear help i will help you soooooooo oooooooooo
Use the function below to find f(-2)
F(x)=3x
Answer:
B
Step-by-step explanation:
Using the rule of exponents
[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]
Then
f(- 2) = [tex]3^{-2}[/tex] = [tex]\frac{1}{3^2}[/tex] = [tex]\frac{1}{9}[/tex] → B