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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Please help I really need help
(40 points)
Match each theorem with its description.
1.
If two angles form a pair of vertical angles, then they are congruent.
2.
The sum of the measures of the interior angles of a triangle is 180°.
3.
If two sides of a triangle are congruent, then the angles opposite those sides are congruent
4.
The midsegment of a triangle is parallel to the third side and its length is one-half the length of the third side.
5.
If two parallel lines are intersected by a transversal, then corresponding angles are congruent.
6.
If two parallel lines are intersected by a transversal, then alternate interior angles are congruent.
7.
If two parallel lines are intersected by a transversal, then the alternate exterior angles are congruent
8.
If two parallel lines are intersected by a transversal, then the same-side interior angles are supplementary.
Match
Triangle Sum Theorem
Alternate Exterior Angles Theorem
Alternate Interior Angles Theorem
Same-Side Interior Angles Theorem
Corresponding Angles Postulate
Isosceles Triangle Theorem
Vertical Angles Theorem
Triangle Midsegment Theorem
Answer: Did you get it or do you still need help (which ones do you need help with)
Step-by-step explanation:
HELLO CAN SOME ONE WHO IS GOOD AT MATH ANSWER THIS PLEASE
Its the first equation, y < -1/3x +2
Calculate the speed of a car that travels 50 km (kilometers) in 30 min (minutes). Question 1 options: 1. 6 km/min (kilometers per minute) 1. 6 miles/hour 1,500 km/min (kilometers per minute) 1,500 miles/hour.
The speed of this car is equal to 1.6 km/min.
Given the following data:
Distance = 50 kilometers.Time = 30 minutes.To calculate the speed of this car:
Speed can be defined as the distance travelled by an object per unit time and it is usually measured in meter per seconds (m/s). Also, speed has magnitude but no direction and as such it is a scalar quantity.
Mathematically, speed is given by the formula;
[tex]Speed = \frac{distance}{time}[/tex]
Substituting the given parameters into the formula, we have;
[tex]Speed = \frac{50}{30}[/tex]
Speed = 1.6 km/min.
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Need help with the answer it’s confusing
16±0.12
Step-by-step explanation:
%uncertainity=uncertainity÷measured value×100%
0.75×16=100x
x=12÷100
x=0.12
ANS;16±0.12
the temperature of the fish tank must be atleast 68F but no more than 77F
Answer:
72 f
Step-by-step explanation:
A pipe is leaking at the rate of 16 fluid ounces per minute. Use unit analysis to find out how many gallons the pipe is leaking per hour.
Answer:
The answer is 7.5 gallons per hour.
Step-by-step explanation:
16 fluid ounces multiplied by 60 minutes equals 960 fluid ounces
16 * 60 = 960
960 fluid ounces divided by 128 fluid ounces (which is 1 gallon) equals 7.5 gallons.
960 / 128 + 7.5
So the answer is 7.5 gallons per hour.
Hope this helps! :)
don't know the answer pls help :p
Answer:
(b) increase the height so the slant height triples
Step-by-step explanation:
The lateral area is jointly proportional to the radius and the slant height of the cone. Increasing either one individually by a factor of 3 will triple the lateral area.
To triple the lateral area, you can ...
increase the height so the slant height triples
ax + b = c solve for x
Solve for X Enter the answer only with no spaces between numbers, symbols, and or variables
Answer:
x=-23
Step-by-step explanation:
Since 180° is a straight line you must find a way to get 180 by adding 97°,106°, and x.
Therefore, x must be equal to -23.
if l || m find the value of y
the best season for the new york mets basball team was 1986. they won 2/3 of the games they played and won the world series, beating the boston red sox. if the mets played 62 gmaes, how many did they win?
Answer: do 2/3 of 62, or 2/3 x 62
convert 2/3 to a decimal (0.666)
0.666x62 = 41.292
Step-by-step explanation:
Express the following numbers in usual form:
(i) 8.02×10^-5
(ii) 4.5×10^3
(iii) 7×10^-5
(iv) 1.0001×10^8
(v) 4.3×10^12
(vi) 3.61492×10^5
(i) Given number = 8.02×10^-5
⇛ 8.02/100000
⇛ (802/100)/100000
⇛ 802/10000000
⇛ 0.0000802
The usual form of 8.02×10^-5 is 0.0000802
(ii) Given number = 4.5×10³
⇛4.5×1000
⇛ (45/10)×1000
⇛ 45×100
⇛ 4500
The usual form of 4.5×10³ is 4500
(iii) Given number = 7×10^-5
⇛ 7/100000
⇛ 0.00007
The usual form of 7×10^-5 is 0.00007
(iv) Given number = 1.0001×10⁸
⇛ 1.0001×100000000
⇛ (10001/10000)×100000000
⇛ 10001×10000
⇛100010000
The usual form of 1.0001×10⁸ is 100010000
(v) Given number = 4.3×10¹²
⇛ 4.3×1000000000000
⇛ (43/10)×1000000000000
⇛ 43×100000000000
⇛ 4300000000000
The usual form of 4.3×10¹² is 4300000000000
(vi) Given number = 3.61492×10⁵
⇛ 3.61492×100000
⇛ (361492/100000)×100000
⇛ 361492
The usual form of 3.61492×10⁵ is 361492
Find the product (3a- 4a)^2
Do you understand Geometry so far? What can help you improve learning Geometry?
Teyt style
Answer:
My graph. I can practice that can help.
If total advertising expenditures on television advertising declined 4.1% to $141.7 billion in the current year, how much was spent on television advertising in the previous year? Round your answer to one decimal.
Using proportions, it is found that $147.8 billion was spent on television advertising in the previous year.
$x, in billions, was spent on advertising expenditures on television last year.This year, the amount declined 4.1%, hence it is 100% - 4.1% = 95.9% of last year's amount, that is, 0.959x.This year spending's is of 141.7 billion, hence, the equation is:
[tex]0.959x = 141.7[/tex]
[tex]x = \frac{141.7}{0.959}[/tex]
[tex]x = 147.8[/tex]
$147.8 billion was spent on television advertising in the previous year.
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Algún jefazo:)))))))))))
Answer:
Step-by-step explanation:
a. Four friends each bought a ticket and a bag of popcorn. How
much total money did they spend?
Answer:
TICKET = $8.50POPCORN =$5.25Total money did they spent :- $8.50 + $5.25 = $13.75Step-by-step explanation:
Hope this helps you !!for example :
ticket = $5popcorn = $3each person spends = $(5+3)
=$8
four people = 8 × 4 = $32
hope it helps...!!!
Ryan went for a drive in his new car. He drove at a speed of 62 miles per hour for 99.2 miles. For how many hours did he drive?
Answer: well you should take notes go review what your teacher has taught you and take notes then go back to that question and you should know hope this helps
Step-by-step explanation:
The sum of 5 consecutive integers is 110.
What is the fourth number in this sequence?
Answer:
23
Step-by-step explanation:
x + x + 1 + x + 2 + x + 3 + x + 4 = 110
5x + 10 = 110
x = 20
4th number = x + 3
20 + 3 = 23
Solve the literal equation for the variable t:
Answer:
t=y÷x+3
Step-by-step explanation:
you have to isolate t
(I may have put the equation in the wrong order but I'm like 70% sure i got it)
What is 2872+919=? It’s simple here
2872+919=3791
Was this helpful?
Answer:
3791
Step-by-step explanation:
Answer:
3791
Step-by-step explanation:
2872+919=3791
2872 + 919 = 3791
2872+919=3791
2872+919=3791
During a school race, Sonic ran around the entire track 5 times in 10 seconds. Everyone was shocked by his speed, which was equal to 321 m/s. FINISH R D In the diagram above, D = 2R. What is the radius of the round part of the track, R, equal to? Use n = 3.14. The answer should be rounded to 3 significant figures.
63.4
62.5
61.4
60.1
Step-by-step explanation:
there is no diagram here.
I assume that the race track is a rectangle in the middle and two half-circles at the left and right ends, and that the length of the rectangle is D = 2R. which makes the rectangle actually a square, as the width is the diameter of the (half-)circles, which is also 2R.
Sonic ran the track 5 times in 10 seconds with a speed of 321 m/s.
that means he ran 10×321 m in 10 seconds = 3210 m.
so, 5 times the track is 3210 m, which means that the track itself is 3210/5 = 642 m long.
and based on the assumptions above the track consists of 2 times the length of the rectangle (or square), and the full circumference of a circle with radius R (2 half-circles make one full circle).
we know the formula for the circumference of a circle :
2×pi×radius
so, we have then
642 = 2×2R + 2×pi×R = R×(4 + 2×pi)
R = 642 / (4 + 2×pi) = 62.43201701...
and when using the requested "cut-off" pi = 3.14, we get
R = 642 / (4 + 2×3.14) = 62.45136187...
and that is rounded 62.5
so, the second answer option is correct.
The Hayes family and the Cook family each used their sprinklers last summer. The water output rate for the Hayes family's sprinkler was 30L per hour. The water output rate for the Cook family's sprinkler was 20L per hour. The families used their sprinklers for a combined total of 55 hours, resulting in a total water output of 1450L. How long was each sprinkler used?
Answer:
30 hours of use by Washington family
35 hours of use by Choi family
Step-by-step explanation:
solve for x
plsss. & then solve for y
Answer:
x=22, y=35
Step-by-step explanation:
since this is an isosceles triangle, 3x-11 = 2x+11. so x=22
since this is a triangle 3x-11 + 2x+11 + 2y = 180. plug in x and simplify to get 2y+110=180, so 2y=70 and y=35
The conditional relative frequency table was calculated by row using data from a survey of one station’s television programming. The survey compared the target audience with the type of show, either live or recorded, over a 24-hour time period. A 4-column table with 3 rows titled television programming. The first column has no label with entries adult, children, total. The second column is labeled live with entries 0. 625, 0. 5, nearly equal to 0. 583. The third column is labeled recorded with entries 0. 375, 0. 5, nearly equal to 0. 417. The fourth column is labeled total with entries 1. 0, 1. 0, 1. 0. Which is the best description of the value 0. 375 in the table? Given that the program was targeted at adults, there is a 37. 5% chance that it was recorded. Given that the program was recorded, there is a 37. 5% chance that it was targeted at adults. 37. 5% of the programs are targeted at adults. 37. 5% of the programs are recorded.
The conditional relative frequency presents the result of the survey that conveys information about the programming and the audience.
The best description of the value 0.357 in the table is; Given that the program was targeted at adults, there is a 37.5% chance that it was recorded.Reasons:
The table is presented as follows;
[tex]\begin{tabular}{|c|c|c|c|}&Live&Recorded&Total\\Adult&0.625&0.375&1.0\\Children&0.5&0.5&1.0\\Total&\approx 0.583&\approx 0.417&1.0\end{array}\right][/tex]
Based on the given table, we have that the programs are categorized based on the intended audience.
Therefore, the 0.375, indicates that 37.5% of the program targeted at adults are recorded.
Therefore, the correct option is;
Given that the program was targeted at adults, there is a 37.5% chance that it was recorded.
Learn more about relative frequency table here:
https://brainly.com/question/8470699
https://brainly.com/question/3712144
Answer:
A
Step-by-step explanation:
its a
Felicia is a long-distance runner. She is able to run the first 2 hours of a training run at a certain rate. The rate at which she runs after her first 2 hours decreases for the remainder of her training run. On Monday, Felicia runs x hours, where x≥2. The average rate at which Felicia runs for the entire training run is represented by 13+6(x−2)x. What is the meaning of the parts of this rational expression in the context of the situation? Select from the drop-down menus to correctly complete each statement.
Answer:
total distance of Felicia's training run
first two hours x = 2....so we have
[ 13 + 6(2 - 2) ] / 2 = 13 / 2 = distance / rate = = 6.5 mph ⇒ "c"
distance covered in 4 hrs =
[13 + 6( 4 - 2) ] = 13 + 6(2) = 13 + 12 = 25 miles
But she ran 13 miles the first two hours
So....she must run 12 miles the last two hours ⇒ "c"
priya found x=3 and x=-1 as solutions to 3x^2-6x-9=0. Is she correct sow how you know
Answer:
Step-by-step explanation:
Can you help me answer this one please ?
Answer:
d. Right 5 and down 3
Step-by-step explanation:
If you have a given graph and then find that it is altered, the changes to the x (something added to or subtract from x) will be on the graph by translating (sliding) the graph left or right. Horizontal changes are probably the opposite of what they seem like they should be: x+_ moves the graph left and x-_ moves the graph right.
A number added on to the end of the equation will shift (translation, again) the graph up (a number added on) or down (a number subtracted). So in this case the x-5 moves the graph to the right 5 units and the - 3 at the end of the equation moves the graph down three units.
Santa’s reindeer can fly at a speed of 42,444,445.56 miles per hour. At that rate, how far can they travel in 3.5 hours?
Answer:
Answer: 148555559.46
Step-by-step explanation:
42,444,445.56 x 3 =127333336.68
42,444,445.56 divided by two is 21222222.78
127333336.68 + 21222222.78 = 148555559.46
Evaluate the expression
-11^3
The value of the expression is
Answer: - 1331
Step-by-step explanation:
(-11)(-11)(-11)
(121)(-11)
- 1331