The equation that has the same solution as x² + 8x + 15 = -4x is x = -6± √21.
Step 1 - Move terms to the left
x² + 8x + 15 = -4x
x² + 8x + 15-(-4x) = 0
Step 2 - Combine the terms
x² + 8x + 15 + 4x = 0
x² + 12x + 15 = 0
Step 3 - Apply the quadratic formula
x = (-b ± √(b² - 4ac) )/ 2a
Recall that form our equation:
a = 1
b = 12
c = 15
Thus, x = (-12 √(12² - 4 * 1 *15) )/2 *1
⇒x = -6 ± √21
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Evaluate this exponential expression 7 • (6+2)^2 - 3^2=
Answer: 441
Step-by-step explanation:
[tex]7*(6+2)^2-3^2[/tex]
[tex]7*8^2-3^2[/tex]
[tex]7*64-9[/tex]
[tex]448-9[/tex]
441
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What is the value of x in the equation xy = 30, when y = 15?
•4
•8
•80
•200
Answer:
xy=30, when y is 15 by substitute 15 in place of y then dividing both side by 15 we get x=2
please help me!.. as fast as possible please help me at fastest possible
Find the product. 4.56 X 10=
Answer:
4.56 x 10 equals 45.6.
Step-by-step explanation:
When you multiply something by 10, you move the decimal place over to the right one, turning 4.56 into 45.6. I hope this helps! :)
Is 12/19 rational or irrational?
Answer:
irrational
Step-by-step explanation:
In a P.7 class, 20% of the boys were absent for the Mock Examinations, of the remainder of the boys were present Find the fraction of the girls in the class.
8.92 x 10^6 in scientific notation
Answer:
8.92 * 10^10
Step-by-step explanation:
1. Convert to decimal notation
[tex]8.92*10^6[/tex]
The exponent is 6, making it 10 to the power of 6. As the exponent is positive, the solution is a number greater than the origin or base number. To find our answer, we move the decimal to the right 6 time(s):
8.92 -> [tex]8920000[/tex]
2. Final result
[tex]8920000[/tex]
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
8.92 * 10^10
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Why learn thisScientific notation, or standard form, makes things easier when working with very small or very big numbers, both of which come up frequently in the fields of science and engineering. It is used in science, for example, to convey the mass of the heavenly bodies: Jupiter’s mass is [tex]1.898*10^{27}[/tex]kg, which is easier to comprehend than writing the number 1,898 followed by 24 zeroes. Scientific notation also makes solving problems that use such high or low numbers more straightforward.
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Terms and topicsScientific NotationScientific notation is also referred to as scientific form or standard index form, or in the UK, standard form.
Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places.
P(X=14), n=15, p=0.8
Use the PMF for the given distribution:
[tex]P(X=x) = \begin{cases}\dbinom{15}x 0.8^x (1-0.8)^{15-x} & \text{if } x \in\{0, 1, 2, \ldots, 15\} \\ 0 & \text{otherwise}\end{cases}[/tex]
Then the probability that X = 14 is
[tex]P(X=14) = \dbinom{15}{14} 0.8^{14} 0.2^1 \approx \boxed{0.1319}[/tex]
can you please help me? 2.1.5
[tex]~Ab_1\\\\\\=\begin{bmatrix} -2&2\\ 1&4\\ 5&-3 \end{bmatrix}\begin{bmatrix} 3\\-2 \end{bmatrix}\\\\\\=\begin{bmatrix} -6-4\\3-8\\15+6 \end{bmatrix}\\\\\\=\begin{bmatrix} -10\\-5\\21 \end{bmatrix}[/tex]
Pls help meeeeeeeeeeeee
Answer:
24%
Step-by-step explanation:
there are 50 numbers total
number of 4's: 7
number of 7's: 5
it's asking for the odds of a 4 or a 7 meaning that they're fine with either one. that means you can ADD the number of them up!
7 + 5 = 12
to get the odds, we need to divide!
12/50 = ?.24convert that into a percent!
24%
let me know if you're still confused :))
A shirt and a tie together cost $58 the shirt cost $30 more than the type what is the cost of the shirt and dollars
Answer:
Shirt + tie = $ 58
shirth = 30 more than that of tie
let the price of tie be X
therefore the price of shirt = 30 + X
30 + X + X = 58
30 + 2x = 58
2x = 58 - 30
2x= 28
x = 14
x + 30
= 14 + 30
Cost of tie = $14 Cost of shirt = $44what is the volume of the solid
Answer: 12 cubic yards
Step-by-step explanation:
Volume = (1/2)(3)(4)(2)=12
Solve for x to the nearest tenth.
Can someone help me? Multi-Step Diagrams
Answer:
Step-by-step explanation:
alex has a box of 250 nails. he uses 80 nails. then he loses 35 nails. how many nails does alex have left? what is the hidden question
Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $3,128 was collected on the sale of 1,336 tickets. How many of each type of ticket were sold?
Answer:
Adults = 448
Students = 888
Step-by-step explanation:
Write equations with info given
A = Adult tickets
S = Student tickets
5A+1S=3,128
A+S=1336
Subtract equations from each other
4A=1792
Solve for A
A=448
Plug A into second equitation
448+S=1336
Solve for S
S=888
Solve the quadratic equations by completing the square.
x^2-4x=-1
Answer:
2 ± √3
Step-by-step explanation:
Solving quadratic equation by completing squares:x² - 4x = -1
Divide the coefficient of x by 2.4 ÷ 2 = 2
Now, square the result and add that to both sides of the equation.2² = 2* 2 = 4
x² - 4x + 4 = -1 + 4
x² - 4x + 4 = 3
x² - 2 * x * 2 + 2² = 3
Compare it with a² - 2ab + b² . Now , a = x and b = 2(x - 2)² = 3
Take square root both sidesx - 2 = ±√3
x = 2 ± √3
Solutions: x = 2 +√3 ; 2 - √3In algebra, there are lots of rules and properties to remember. The good news is that once you understand them, you can apply them in lots of different orders and combinations. Give an example of a mathematic problem that can be solved in multiple ways by applying properties of algebra differently. Explain your reasoning.
Algebraic properties can be applied in any mathematical equation.
How to explain the algebraic property?There are several algebraic properties; they include:
Distributive propertyAdditive propertyInverse propertyCommutative propertyAnd so onAll these properties can be applied in a mathematical equation.
An instance is as follows:
3(x + 2) = 18
Method 1
Apply the distributive property
3x + 6 = 18
Apply the subtraction property of equality
3x = 12
Apply the division property of equality
x = 4
Method 2
Apply the division property of equality
x + 2 = 6
Apply the subtraction property of equality
x = 4
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9 < 5+y
Solve the inequality
Answer:
4<y
Step-by-step explanation:
1st step:9=5+y
2nd step: 9-5=y
3rd step: 4=y
4th step: 4<y
Answer:
y > 4 or 4 < y
Step-by-step explanation:
In this inequality, the < sign, also known as the less than sign, means that 9 is less than the value of 5 + y. Solving inequalities can be simple to do - let's begin!
9 < 5 + y
We know that we must isolate y to determine its value. We can do this by subtracting 5 from both sides of the < sign.
9 - 5 < 5 + y - 5
Simplify!
4 < y → This means that 4 is less than y. Let's rewrite this.
y > 4 → Rewritten, your answer looks like this! This now states that y is greater than 4, which is the same as 4 being less than y.
For more information regarding inequalities, be sure to check out the following answers!
https://brainly.com/question/20085191https://brainly.com/question/12556359https://brainly.com/question/125261045 Keisha needs postage stamps to mail
invitations for her birthday party to
9 friends. If stamps cost 45¢ each, how
much will it cost Keisha to mail the
invitations?
LA
$
Answer:
$4.05
Step-by-step explanation:
45 x 9 = 4.05
Assume a normal distribution and that the average phone call in a certain town lasted 12 min, with a standard deviation of 2 min. What percentage of the calls lasted less than 6 min?
Answer:
I think it's 23 but I might be wrong
Greatest common factor
3m-12n
Answer:
3
Step-by-step explanation:
To find the Greatest common factor (GCF) of 3m-12n we find the highest letters and/or numbers that is a factor of both :
3m-12n
Both have a common factor of 3 :
[tex]\frac{3m-12n}{3} = m-4n[/tex]
m-4n cannot be simplified anymore so the gcf of 3m-12n is 3.
Hope this helped and have a good day
Help, and if you can give me a step by step explanation
Answer:
the first option
Step-by-step explanation:
variability !
what does that word tell us ?
it means that there are more individuals differences.
you could also use "accuracy" as the opposite - we are aiming for the mean value ...
imagine some bow and arrow tournament.
who wins ?
the person with the highest accuracy across all the attempts (and that means the lowest variability in the results across all attempts relatively to the target center representing the predefined mean value).
now look at the graphic for neighborhood A.
and then for neighborhood B.
which one has the data points more clustered around the center (where the mean value is going to be) ? this one has lower variability than the one where the data points are having more than one cluster or are even all over the place.
remember, for the variability you have to add all the differences to the mean value. the smaller the differences to the mean value, the smaller the variability.
in neighborhood B almost all data points have a larger difference to the mean value.
so, the variability will be higher here.
Find the area of a regular polygon with 7 sides that has a side length of 6 inches and an apothem of 8 inches.
Area = [?]in2
Answer:
see the attachment photo!
. What is the next number? 3 4 6 9 13 18 24
Answer:
3+1=4
4+2=6
6+3=9
9+4=13
13+5=18
18+6=24
24+7=31
Step-by-step explanation:
I'm just a smart guy
Ashley has 100 books that she wants to give away at the rate of n books per week. Write a recursive function that represents the number of books Ashley has at any time.
The recursive function that gives the number of books Ashley has at any time is
=
, starting at
.
The recursive function that gives the number of books Ashley has at any time is f(t) = f(t-1) - n where f(0) =100
How to determine the recursive function?The given parameters are:
Initial = 100
Rate per week, r = n
The initial number of books means that:
f(0) = 100
The rate of n means that Ashley has n less books each week.
So, we have:
f(t) = f(t-1) - n
Where t represents the number of weeks
Hence, the recursive function that gives the number of books Ashley has at any time is f(t) = f(t-1) - n where f(0) =100
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Mario invested a certain amount of money in selling a fish balls. After 3 weeks, he counted his money and found out that he had 900 which was 2255 of what he originally had. How much did he invest?
Answer:
[tex]5.3 \times 105 - 2.4 \times 104[/tex]
Change 0.45° to equivalent minutes and seconds. Round to the nearest second if necessary.
0.45° in minutes is 27.36 minutes and in seconds is 21.6 seconds.
Why is it necessary to divide decimal degrees by 60 to obtain minutes and seconds?
In a complete rotation, circles and spheres have 360 degrees. One degree is divided into sixty minutes, and one minute is divided into sixty seconds. You may see that your measurement is 91 full degrees plus 0.456 of a degree if you have 91.456 degrees.How 0.45° is converted to equal minutes and seconds?
To convert 0.456 degrees to minutes, multiply 0.456*60 and you will get the answer as 27.36 minutes. You now have a total of 27 minutes and 0.36 of a minute.To express 0.36 minutes seconds in decimal form, multiply 0.36*60 to get 21.6 seconds. You can round up to twenty two seconds because your decimal 0.6 is bigger than 0.5.To learn more about minutes and seconds conversion, refer
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A spinner is divided into 12 equal sectors labeled with the letters A through L The spinner is spun 80 times.
How many times is it expected that a vowel will be spun?
——
A.) approximately 20 times
B.) approximately 25 times
C.) approximately 36 times
D.) approximately 40 times
Answer:
c
Step-by-step explanation:
the answer to this quistion is becasue 36 is an propile number
Please Answer Fast
Find the length of the hypotenuse.
Answer:
c2= 55
Step-by-step explanation:
c2=a2+b2
=33^+44^
= 3025
or,c2=(55)2
:c=55
Answer:
H = 55
Step-by-step explanation:
Base = 33Hypotenuse = ?Altitude = 44Applying Pythagoras' theorem,we obtain
(H)² = (B)²+(A)²(H)² = (33)² + (44)²(H)² = 1089 + 1936(H)² = 3025(H) = √(3025)H = √(55*55)H = 55Hence,the length of hypotenuse is 55.
Finding the relationship of two lines
[tex]Explanation[/tex]
This is very basic all you have to look at is the 2x because whenever the number has a variable with [tex]x[/tex] it means its the slope and the slope will tell you whether they are parallel or perpendicular.
so as you can see the slopes are alike because they are both 2x
Thus, the answer is Parallel
//-carry on learning-//