Write 2x^2 – 12 x + 23 in the form a(x+b)^2 + c, where a, b, and c are integers

Answers

Answer 1

Answer:

2(x - 3)² + 14 = 0

Step-by-step explanation:

2x² -12x + 23 = 0

2(x² - 6x) + 23 = 0

2(x² - 6x + 9) - 9 + 23 = 0

2(x - 3)² + 14 = 0


Related Questions

Which is the closest synonym for the word productive?
Press enter to interact with the item, and press tab button or down arrow until reaching the Submit button once the item is selected:
A.) Mysterious
B.) Cheerful
C.) Confident
D.) Valuable

Answers

Answer:

The answer would be letter D. Valuable.

Hello! Will someone please help me with expanding and simplifying this?:

3(m+2) + 4(6+m)

Answers

Answer:  7m+30

=============================================

Work Shown:

3(m+2) + 4(6+m)

3m+6 + 24 + 4m

(3m+4m) + (6+24)

7m+30

------------

Explanation:

In the second step, I used the distribution rule a*(b+c) = a*b+a*c. We multiply the outer term by every term inside. So for instance 3(m+2) = 3*m+3*2 = 3m+6.  A similar situation applies to 4(6+m) as well. Afterward, I grouped and combined like terms.

We can think of 3m+4m = 7m as saying "I have 3 maps and someone gave me 4 more maps, so that means I have 3+4 = 7 maps now". The m is a place holder for any number.

Which equation represents a line with slope -1/2
that passes through (-3, 4) ?

Answers

Answer:

y=-1/2x+5/2

Step-by-step explanation:

y-4=-1/2(x-(-3))

y-4=-1/2(x+3)

y-4=-1/2x-3/2

y=-1/2x-3/2+4

y=-1/2x+5/2

What is 472 x 82 i also need your thiniing process

Answers

Answer:

472×82=38704

Step-by-step explanation:

Prime factorization:

2^4×41×59

5 + 4x - 2x = 8x + 11 + 12

Explain step by step PLEASE

Answers

Simplify
5
+
4
x

2
x
5+4x−2x to
5
+
2
x
5+2x.
5
+
2
x
=
8
x
+
11
+
12
5+2x=8x+11+12

2 Simplify
8
x
+
11
+
12
8x+11+12 to
8
x
+
23
8x+23.
5
+
2
x
=
8
x
+
23
5+2x=8x+23

3 Subtract
5
5 from both sides.
2
x
=
8
x
+
23

5
2x=8x+23−5

4 Simplify
8
x
+
23

5
8x+23−5 to
8
x
+
18
8x+18.
2
x
=
8
x
+
18
2x=8x+18

5 Subtract
8
x
8x from both sides.
2
x

8
x
=
18
2x−8x=18

6 Simplify
2
x

8
x
2x−8x to

6
x
−6x.

6
x
=
18
−6x=18

7 Divide both sides by

6
−6.
x
=

18
6
x=−
6
18



8 Simplify
18
6
6
18

to
3
3.
x
=

3
x=−3

Adding 102 instances of 103 gives 2S=

Answers

Step-by-step explanation:

this is the cutest answer

The area of a parallelogram of base 10 cm and height 6.2 cm is
(a) 6.2 cm
(b) 31 cm
(C) 62 cm (d) 620 cm

Answers

Answer:

62 cm

Step-by-step explanation:

It's basically just a rectangle, so area formula for rectangle is base x height

The area is C 62cm :))

Solve the triangle. Round your answers to the nearest tenth.

Answers

Answer:

Area = 80 units²

Step-by-step explanation:

Given that:

a = 19 units

b = 9 units

c = 97°

Find the area of the triangle!

Area = ab(sin(c))/2

Area = [19×9×(sin(97))]/2

Area = 84.86 units²

Area = 80 units² ✅

______________

#IndonesianPride

- kexcvi -

Solve for x. Round your answer to the nearest tenth. Will mark brain list !

Answers

Answer:

29

Step-by-step explanation:

K + 20% of k
k = Rs
Rs 180​

Answers

Answer:

216........................

Match each equation on the left to the mathematical property it uses on the right

Answers

Answer:

attachment plz

Step-by-step explanation:

nothing is being seen

x/6 + 12 = -12

i don’t know what x is

Answers

X = -144 hope that helps

Answer:

-144 is your answer for x.

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other.

Do the opposite of PEMDAS. PEMDAS is the order of operation, and stand for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, subtract 12 from both sides of the equation:

x/6 + 12 (-12) = -12 (-12)

x/6 = -12 - 12

x/6 = -24

Next, isolate the variable x, by multiplying 6 to both sides:

(x/6) * 6 = (-24) * 6

x = -24 * 6

x = -144

-144 is your answer for x.

~



Evaluate:
UV
2
if u=4 and v=3

Answers

The answer would be 1 1/2 (one and one half)

I
Pls pls answer quick I will give brainly

Answers

Answer:

x>9/5

Step-by-step explanation:

x>9/5

To charter a fishing boat for 3 hours the captain charges a base fee of 45.00 plus 15.00 per person using variables construct a function that models the total cost of a 3-hour charter in terms of the number of people in your function. Define any variables you use. What is the correct interpretation of the initial value snd the rate of change

Answers

Answer:

$90.00

Step-by-step explanation:

Given

[tex]c = 45.00[/tex]--- base fee

[tex]m = 15.00[/tex] --- rate

[tex]x = 3[/tex] --- individuals

Required

Determine the total amount paid (y)

The relationship between the variables is:

[tex]Total = Base\ Fee + Rate * Individuals[/tex]

[tex]y = c + mx[/tex]

This gives:

[tex]y = 45.00 + 15.00 * 3[/tex]

[tex]y = 45.00 + 45.00[/tex]

[tex]y = 90.00[/tex]

Hence, the amount is $90.00

x=[ ? ]°
X
х
please help urgent

Answers

Answer:

since all sides are equal 3x = 180

you find the 180÷3

which is 60

What are the answers to 3 and 4?

Answers

The length of AC is 126 units
Reply if you need explaination

Sammy has 2 water tanks filled with water.Tank A contains 12 liters.Tank B contains 19 liters more than tank A.find the volume of water in Tank B

Answers

Tank B contains 31 liters of water. The volume of Tank B is 31 liters.

a) 7l - 15 = 6
b) 3j -18=3
c) 5k+7=32
d) 9m+11=74
e) 6n+12=72
f) 7r-8=41
j) 6q-12=84
h) 3k+7=46
I) 5m+12=72
k) 9n+9=72
l) 6r-8=40
m) 11q-10=89

Answers

a) l = 3
b) j = 7
c) k = 5
d) m = 7
e)n = 10
f) r = 7
j) q = 16
h) k = 13
l) m = 12
k) n = 7
l) r = 8
m) q = 9

You deposit $3000 each year into an account earning 2% interest compounded annually. How much will you have in the account in 20 years?

Answers

Answer:

$72891.1094

Step-by-step explanation:

This method of saving is called sinking fund.

Future value (FV) =  A*([tex]\frac{[(1+r)^{n} - 1]}{r}[/tex])

Where A is the amortization, r is the rate and n the number of years.

A = $3000

r = 2% = 0.02

n = 20

FV = 3000 * [tex](\frac{[(1.02)^{20} - 1]}{0.02})[/tex]

     = 3000 * 24.2973698

     = 72891.1094

FV  = $ 72891.1094

The amount that would be in the account after 20 years is $72891.1094

Write The Equation on the line.​

Answers

Answer:

Check pdf

Step-by-step explanation:

The equation is :-y=-2/3x-4 ( co - ordinates are (-6,0) , (0,-4) )

Which system has (3,0) as a solution?
- x + y =-1
3x – 2y = 5
3x + 2y = 9
x – 4y = 3
Option 1
Option 2
x+y = 3
x - y = 0
2x + y = 12
x – 2y =- 3
Option 3
Option 4

Answers

Answer:

x+y=3

Assuming that the option 1 and 2 dont mean anything

What property or theorrm would we have to use on these triangles to make them congruent
by ASA shortcut?

Answers

Answer:  B) reflexive property

==============================================================

Explanation:

The diagram shows that we have two pairs of angles that are congruent. The angles with the single red arc pair up and are congruent, and the angles with the double arcs are the other congruent pair.

That takes care of the two "A"s in "ASA". As you can probably guess or know by now, "A" stands for "angle".

The only thing we need is the info about a pair of sides if they are congruent or not. In this case, we can see that the horizontal sides of the triangles are congruent since they overlap perfectly, or they are a shared common side. We use the reflexive property to say that "any segment is congruent to itself".

Find f(-3)

Please help!

Answers

Answer:

-6

Step-by-step explanation:

anything for sangwoo

The numeric value of this expression is -6!

To find out what the value of this expression is, let's replace f(x) with f(-3) and perform the given math operations.

[tex] \large \sf f(x) = 12 - 2x {}^{2} [/tex]

[tex] \large \sf f(-3) = 12 - 2\cdot (-3){}^{2} [/tex]

[tex] \large \sf f(-3) = 12 - 2\cdot 9 [/tex]

[tex] \large \sf f(-3) = 12 - 18 [/tex]

[tex] \boxed{ \boxed{{ \large \sf f(-3)=-6}}}[/tex]

Therefore, the result of this expression is f(-3)=-6. ✅

2.
Akeem is making juice for a class party. For every 1 litre of water, he uses 100 ml of juice
mix
If he uses 4 litres of water, how many ml of juice does he use?​

Answers

Answer:

400ml of juice

Step-by-step explanation:

1 litre of water = 100ml of juice

4 litres of water =? ml of juice

to get from 1 litre to 4 litre of water you multiply by 4,so you do the same for the juice and multiply the juice by 4.

100×4=400

4 litres of water = 400ml of juice

Suppose the weights of Farmer Carl's potatoes are normally distributed with a mean of 8.0 ounces and a standard deviation of 1.1 ounces.

(a) If 5 potatoes are randomly selected, find the probability that the mean weight is less than 9.3 ounces? Round your answer to 4 decimal places.

(b) If 6 potatoes are randomly selected, find the probability that the mean weight is more than 9.0 ounces? Round your answer to 4 decimal places.

Answers

Answer:

a) 0.9959 = 99.59% probability that the mean weight is less than 9.3 ounces

b) 0.0129 = 1.29% probability that the mean weight is more than 9.0 ounces

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 8.0 ounces and a standard deviation of 1.1 ounces.

This means that [tex]\mu = 8, \sigma = 1.1[/tex]

(a) If 5 potatoes are randomly selected, find the probability that the mean weight is less than 9.3 ounces?

[tex]n = 5[/tex] means that [tex]s = \frac{1.1}{\sqrt{5}} = 0.4919[/tex]

This probability is the pvalue of Z when X = 9.3. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{9.3 - 8}{0.4919}[/tex]

[tex]Z = 2.64[/tex]

[tex]Z = 2.64[/tex] has a pvalue of 0.9959

0.9959 = 99.59% probability that the mean weight is less than 9.3 ounces

(b) If 6 potatoes are randomly selected, find the probability that the mean weight is more than 9.0 ounces?

[tex]n = 6[/tex] means that [tex]s = \frac{1.1}{\sqrt{6}} = 0.4491[/tex]

This probability is 1 subtracted by the pvalue of Z when X = 9. So

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{9 - 8}{0.4491}[/tex]

[tex]Z = 2.23[/tex]

[tex]Z = 2.23[/tex] has a pvalue of 0.9871

1 - 0.9871 = 0.0129

0.0129 = 1.29% probability that the mean weight is more than 9.0 ounces

Use these similar triangles on the coordinate plane to determine the equation of a straight line with a slope of 5/3 that passes through the orgin.

Answers

Answer:

y=5/3x

Step-by-step explanation:

What is the slope of the line?
y+3 = -4(2 + 7)

Answers

Answer:-4

Step-by-step explanation:

Answer:-4 hope I help

PLEASE HELP I'LL GIVE BRAINILLEST!!!

Answers

cancelStep-by-step explanation:

10) there are infinity values for k

4(k-8)=-32+4k

4k-32=-32+4k

these two equal each other so any value is equal to k

12) there are no values for b

-(3-6b)=6b+5

-3+6b=6b+5

the b's  out and you are left with -3=5 which is impossible

Hope that helps :)

Answer:

10 is k= -4           i dont know 12 though... u dont have to give brainly to me.

Step-by-step explanation:

BRAINLESTTTTT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

B is the answer

Step-by-step explanation:

see step on the file attached

hope this helps

B is the answer for this question
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