Complete the square to: n2 + 4n - 8 = 0

Answers

Answer 1

Answer:

(n + 2)² = 12

Step-by-step explanation:

[tex] {n}^{2} + 4n - 8 = 0 \\ {n}^{2} + 4n = 8 \\ {n}^{2} + 4n + 4 = 8 + 4 \\ {(n + 2)}^{2} = 12[/tex]


Related Questions

someone answer this please

Answers

Answer:

D) -4(-1) > 2 is a true statement

Step-by-step explanation:

A) 3 < 0  False

B) -6 > -1  False

C) 0 < -4  False

An automobile manufacturer claims that its car has a 37.2 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this car since it is believed that the car has an incorrect manufacturer's MPG rating. After testing 120 cars, they found a mean MPG of 37.1. Assume the standard deviation is known to be 1.1. A level of significance of 0.05 will be used. Make a decision to reject or fail to reject the null hypothesis.

Answers

Answer:

fail to reject the null hypothesis

Step-by-step explanation:

Based on the information provided I would fail to reject the null hypothesis. This is because the Miles per gallon that the independent testing firm has concluded for the car nearly matches the car's MPG claim. The difference being 0.1 . Since the standard deviation is 1.1 for this test, this means that the average falls perfectly within this range and makes the data very compelling. Combine this with a very low level of significance, I would say that the claim is backed by the data.

When converting 6/81 into a decimal which is true.

Answers

Answer:

6/8 as a decimal is 0.75.

WHOEVER HELPS AND GETS IT RIGHT I WILL GIVE BRAINLY!!!!!

Answers

Answer:

3

Step-by-step explanation:

Option 3 I believe is correct

GrumpyCorp drug tests all of the recent college graduates it hires each year. The drug test currently used correctly determines drug users 96% of the time(a Positive test) and correctly determines non-users 90% of the time(a Negative test). A recent study concluded that 36% of college students use drugs. A potential employee has been tested and the result was Negative for drug use.
a) Construct ALL necessary probabilities using proper notation(Example: P(D) for a "drug user"). (Hint: there should be 6 total)
b) Find the Probability of a Negative test, by showing use of the above Probabilities first, and then followed by the proper calculation.
c) Use Bayes' Theorem to find the probability that a person who tests Positive actually was not a Drug User. Set up using Conditional Probability Notation and then substitute in numeric values.

Answers

Solution :

Drug : Drug user

T : Test positive

a). [tex]P(D) =0.36[/tex]

    [tex]$P\left(\frac{T}{D} \right) = 0.96$[/tex]

    [tex]$P\left(\frac{T^c}{D^c} \right) = 0.90$[/tex]

b). [tex]$P(T^c)= P\left(\frac{T^c}{D^c}\right) \times P(D^c)+ P\left(\frac{T^c}{D}\right) \times P(D)$[/tex]

               [tex]$=0.9 \times (1-0.36) + (1-0.96) \times 0.36$[/tex]

               = 0.5904

c). [tex]$P\left(\frac{D^c}{T}\right) = \frac{P\left(\frac{T}{D^c}\right). P(D^c)}{P\left(\frac{T}{D^c}\right). P(D^c) + P\left(\frac{T}{D}\right). P(D)}$[/tex]

                  [tex]$=\frac{(1-0.90) \times (1-0.36)}{(1-0.90) \times (1-0.36)+(0.96 \times 0.36)}$[/tex]

                 [tex]$=0.15625$[/tex]

Goes through points (-2,-1) and (-3,5)
Help me pleaseeeeeeeeeee

Answers

Answer:

Distance between two points = √37

Step-by-step explanation:

Given:

(-2,-1)

(-3,5)

Find:

Distance between two points

Computation:

Distance = √(x1 -x2)² + (y1 - y2)²

Distance between two points = √(-2+3)² + (-1 - 5)²

Distance between two points = √ 1 + 36

Distance between two points = √37

in math what does the word "of" mean

Answers

Answer:

Multiplication

Step-by-step explanation:

The word 'of', in Math, simply means multiplication. Generally, whenever you encounter this word, put a multiplication sign in your equation at that point. The word 'of' is used very simply in percentage problems, and usually you just have to replace 'of' with a multiplication sign to get rid of it!

Answer:

"In mathematics, “of” means ”a part of something”. Mostly, “of” means “to multiply”. In other context, mathematical expressions like “f of x”, where “of” means “depending on” or “involving” or “defined in terms of” “x”; it also refers to the act of applying the function to its argument".

Step-by-step explanation:

Yw. Plz mark brainliest

[tex]3(x+2)^2-6=21[/tex]

Answers

Oh that’s simple you subtract 6 and 3 and 2 from 21 making 10 so 10 is your ancer

the area of a rectangle is 18cm square. what coul it dimension be?​

Answers

Answer:

9 and 2

Step-by-step explanation:

9×2=18 and one side is longer than the other

your questions is wrong so dont come answer

help quick

Write the ratio as a fraction in lowest terms. Be sure to make necessary conversions:

12 feet to 15 inches

Answers

48/53

Steps

15 inches = 1.25 feet

Ratio = 12 : 1.25

Simplified = 9.6 : 1

9.6 + 1 = 10.6

9.6/10.6 = 48/53

Checking...

12 feet = 144 inches

Ratio = 144 : 15

144 + 15 = 159

144/159 = 48/53

Answer:

[tex] \frac{12}{15} [/tex]

Step-by-step explanation:

12:15

•=12[tex] \frac{12}{15} [/tex]

Two less than three times a number

Answers

Answer:

3x-2

Step-by-step explanation:

3 times a number is 3x, if we use x as the number

Two less than (3x) is 3x - 2

find the sum of (x^2+6x-5)+(2x^2+15)

Answers

Answer:

3x²+6x+10 is your answer

Step-by-step explanation:

(x^2+6x-5)+(2x^2+15)

open bracket

x²+6x-5+2x²+15

add or subtract common

3x²+6x+10

simplify:
(5x-4)+(3-4x)

Answers

Answer:

x - 1

Step-by-step explanation:

combine like terms

(5x -4x) = x

(-4 + 3) = - 1

Answer:

x - 1

Step-by-step explanation:

(5x - 4) + (3 - 4x)

5x - 4 + 3 - 4x

-4x          -4x

x - 4 + 3

x - 1

hi please help me with this i’ll give brainliest if you give a correct answer​

Answers

Answer:

Step-by-step explanation:

a) PR=SU

b) PQ=TU

c) RQ=TS

Answer:

<P = <U

PQ = TU

<T = <U

Step-by-step explanation:

Sides can be shown to be congruent through tic marks. If two lines have the same number of tic marks then they are congruent. PQ and TU both have one, therefore they are congruent.

Angles are shown to be congruent through arcs. If two angles have the same numbers of arcs then they are congruent. <P and <Q both have two and <T and <U both have one. So they are congruent.

Find the perimeter P of
JKLM
with vertices J(-3,-2),K(-5,-5),L(1.-5),M(3.-2) Round your answer to the nearest tenth

Answers

Yes just round it to two decimal then multiply to three then you’ll get ur answer. Simple.

Help????????????????

Answers

Answer:

After looking at your pfp and then the question I have came to a conclusion

 

y= 1x + 2

Im not sure if the 1 is right but the second is 2 for sure

Answer:

hey

Step-by-step explanation:

Can anyone answer this please

Answers

the answer so d i think

Which number can be placed in the box to make the number sentence true
7
7
Х
5
Л
5
multiplying a fraction less than I will make the product less than the other factor
3
6
multiplying a fraction byt will make the product larger than the other factor
3
-multiplying a fraction greater than I will make the product less than the other factor
15-multipying a fraction greater than 1 will make the product less than the other factor

Answers

It would be 2/3 so it would be less than 7/5

1 Q1 - Mean
Work out the mean of each set of numbers.
11, 15, 13, 19, 17
[2]
2
56, 78, 63, 61, 74, 72, 81, 74, 75, 67
[2]
4.6, 5.9, 6.1, 2, 3.9, 2.4, 2.6, 1.9, 2.9, 1.3
[2]
o
alc
Jeremy caught 8 fish in a contest.
The mean weight of the fish was 4.35 kg.
He forgot to make his own record of the weight of the last fish,
but the first 7 were: 4.5 kg, 5 kg, 6.8 kg, 2.8 kg, 3.8 kg, 4.4 kg and 4.4 kg.
tal
0
5
What was the weight of the last fish?
kg
[2]
Markeit

Answers

Answer:

3.1 Kg

Step-by-step explanation:

Mean = Sum/Number of data

4.35=Sum/8

Sum= (4.5+5+6.8+2.8+3.8+5.5+4.4+4.4+last fish) = 31.7+last fish

4.35= (31.7+lastfish)/8

Last fish= (4.35×8) - 31.7 = 3.1 Kg

A hexagon can be divided into 4 non-overlapping triangles. Which is the sum of the interior angles of a hexagon?

Answers

Answer:

12

Step-by-step explanation:

4 time 3 =12

Is this a parallelogram? If so, please explain why.

Answers

Answer:

the answer is no

Step-by-step explanation:

It only shows that one pair of lines are parallel but not both are. Parallelograms have two pairs of parallel lines.

the answer is a no!!!

4+ 3/6 + 2/6! It’s zearn!!

Answers

Answer:

=29/6

Step-by-step explanation:

4+3/6+2/6

=4+1/2+2/6

=9/2+2/6

=9/2+1/3

=29/6

Answer:

4 5/6 = 29/6 = 4.833333333

Step-by-step explanation:

4+3/6+2/6

Reduce the fraction 3/6 to lowest terms by extracting and canceling out 3.

4+1/2+2/6

Convert 4 to fraction 8/2

8/2+1/2+2/6

Since 8/2 and 1/2 have the same denominator, add them by adding their numerators.

8+1 / 2 + 2/6

Add 8 and 1 to get 9.

9/2 + 2/6

Reduce the fraction 2/6 to lowest terms by extracting and canceling out 2.

9/2 + 1/3

Least common multiple of 2 and 3 is 6. Convert 9/2 and 1/3 to fractions with denominator 6.

27/6 + 2/6

Since 27/6 and 2/6 have the same denominator, add them by adding their numerators.

27+2 / 6

Add 27 and 2 to get 29.

29/6  

Jamie has $5.00 and Matt has $6.00. If they put their money together, will they be able to buy a souvenir program?
Here's the Souvenir prices:
Souvenir Program $13.00
T-shirt $17.00
Cap $12.50
Please help!!!!!!!!!!!!

Answers

Jamie: $5.00
Matt: $6.00

5.00
6.00
+
———-
11.00

If I’m correct No they will not be able to buy a souvenir program unless they get more ....

What is the actual distance between River City and Pine Bluff?

Answers

(9 miles)
The actual distance between River City and Pine Bluff is 9 miles.

I need the answer ASAP

1. In the figure, x is an exterior angle to the triangle below.

(a) Explain why x is equal to the sum of the measures of the two nonadjacent interior angles. You need to present the algebra that proves this theorem.
(b) What is m

Answers

Answer:

109 is the correct answer of this question

Jennifer has been collecting beads all summer. She started with 65 beads and by the end of the summer, she added 25 more beads to her collection. On the first day of school, she wants to evenly split the beads up among her 6 friends. How many beads will each friend get?
A. 12
B. 15
C. 24
D. 17

Answers

Answer:

hi!

First we need to see how many beads she collected in total at the end of the summer: 65+25=90 beads at the end of the summer

she gives to each of her friends 90:6(friends)=15 beads for each (answer B)

hope i helped!

ig: landonorris

:>

Fill in the blank
In the expression 7+(2x6), the term (2x6) is the _ of two _ 2 and 6.
words to fill the blank
-power
-sum
-different
-ratio
-base
-coefficient
-factors
-product
-variable
-terms
-quotient

Answers

Answer:

..................................................................................

Step-by-step explanation:

hahaahahah

Volume of of 7cm 4cm 5cm

Answers

140cm yes this is totally the answer

Answer:

140

Step-by-step explanation:

You multiply 7 by 4 you get 28. Then multiply 28 by 5 you get 140.

What type of number is 2?
Choose all answers that apply:
A
Whole number
B
Integer
C
Rational
D
Irrational

Answers

The answer Whole number

Emxpress the fractions 3/4, 7/16, and 5/8 with the LCD

Answers

Answer: The fractions 3/4, 7/16, and 5/8 with the LCD is 12/16, 7/16, 10/16.

Step-by-step explanation:

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