8x^(2)+16x=42 completeing the square

Answers

Answer 1
16
x
2
+
16
x
=
42
Step 2: Subtract 42 from both sides.
16
x
2
+
16
x

42
=
42

42
16
x
2
+
16
x

42
=
0
For this equation: a=16, b=16, c=-42
16
x
2
+
16
x
+

42
=
0
Step 3: Use quadratic formula with a=16, b=16, c=-42.
x
=

b
±
b
2

4
a
c
2
a
x
=

(
16
)
±
(
16
)
2

4
(
16
)
(

42
)
2
(
16
)
x
=

16
±
2944
32
x
=

1
2
+
1
4
46
or
x
=

1
2
+

1
4
46
Answer:
x
=

1
2
+
1
4
46
or
x
=

1
2
+

1
4
46

Related Questions

Which graph shows a set of ordered pairs that represents a function?

Answers

Answer:

2nd Graph

General Formulas and Concepts:

Algebra I

Vertical Line Test - A function's x-values must have only 1 corresponding y-value. If the function fails this test, it is not a function.

Step-by-step explanation:

When we apply the Vertical Line Test to the 1st graph, it does not pass (x = 1). Therefore, the 1st graph is not a function.

When we apply the Vertical Line Test to the 2nd graph, it does pass. Therefore, the 2nd graph is a function.

When we apply the Vertical Line Test to the 3rd graph, it does not pass (x = 2). Therefore, the 1st graph is not a function.

When we apply the Vertical Line Test to the 4th graph, it does not pass (x = -3). Therefore, the 4th graph is not a function.

Answer:

2nd graph is correct

Step-by-step explanation:

How do you do this question?

Answers

Answer:

z = -ln│5eᵗ + C│

Step-by-step explanation:

dz/dt + 5eᵗ⁺ᶻ = 0

dz/dt = -5eᵗ⁺ᶻ

dz/dt = -5eᵗeᶻ

-e⁻ᶻ dz = 5eᵗ dt

e⁻ᶻ = 5eᵗ + C

-z = ln│5eᵗ + C│

z = -ln│5eᵗ + C│

describe the prime factorization of 180

Answers

Answer:

5 x 2 x 2 x 3 x 3 = 180

Step-by-step explanation:

HOPE THIS HELPS’

PLZZ MARK BRAINLIEST

Find the point-slope equation of the line contains (-2,-3) and having slope m=4

Answers

Answer:

y + 3 = 4 x (x + 2)

Step-by-step explanation:

point slope formula is y-y1 = m(x-x1)

slope intercept form is y = 4x + 5

                                       y=mx +b

                                           m=4

Which shows the best use of associative and commutative properties to make simplifying 3/4 - 5 + 9 -2/4 + 2 easier?

Answers

Answer:

(-5) + 9 + 2 + 3/4 + (-2/4)

Mai has 4 CDs that she is going to give away. She lets her best friend choose 3 of the 4 CDs. How many different groups of 3 CDs are possible?

Answers

You can make 24 different groups of cds

are the triangles congruent ?

Answers

Answer:

yes its sss

Step-by-step explanation:

Answer:

SSS BECAUSE THE TRIANGLE IS GOING UP AND DOWN SO 5% of it so SSS

A box contains 14 large marbles and 11 small marbles. Each marble is either green or white. 8 of the large marbles are green, and 5 of the small marbles are white. If a marble is randomly selected from the box, what is the probability that it is small or green?

Answers

Answer: 19/25.

Step-by-step explanation:

Given data:

Large marbles = 14

Small marbles = 11.

8 large marbles = green.

5 of small marbles = white.

Solution:

If 8 of large marbles are green, therefore the remaining 6 are white.

Likewise for the small marbles the remaining 6 are green marbles.

Total number of marbles = 14 + 11

= 25.

P(small or green) = P(small) + P (green) – P (Both)

= 11/25 + 14/25 – 6/11

= 19/25

Answer:

Answer is 0.7536

Step-by-step explanation:

Large Marbles = 14   Small Marbles = 11

Green LM = 8            Green SM = 6

White LM = 6             White SM = 5

QUESTION:

If a marble is randomly selected from the box, what is the probability that it is small or it is green?

Note the use of "or" and not "and".

SOLUTION:

In this case, the two events - small marble & green marble - are NOT mutually exclusive. This means that sometimes they occur together. We can have a marble that is both small and green!

The formula for this probability is hence

P(A or B) = P(A) + P(B) - P(A and B)

Let A = The event that the selected marble is small

     B = The event that the selected marble is green

Total number of marbles = 14 + 11 = 25

P(A or B) = 11/25  +  (8+6)/25  -  [P(A) × P(B)]

P(A or B) = 11/25  +  14/25  -  [11/25 × 14/25]

               = 0.44  +  0.56  -  0.2464   =  1 - 0.2464  = 0.7536

What is the perimeter of this figure?

Answers

Answer:210. 2/3

you would have to add all the numbers to get the answer even the fractions

Answer:

230.6 or 692/3

Step-by-step explanation:

365/6 + 326/6 + 356/6 + 337/6 = 1384/6 = 692/3 = 230.6

For which inequality is x = 5 a solution ?

Answers

Answer:

C

Step-by-step explanation:

because x<2 is ... -1,0,1

x>9 is 100,11,12...

but x<18 is 17,16.. 6,5,4

x>42 is more than 42 so 43,44,45...

What is the greatest place value in this number, 189?​

Answers

Answer:

the 1 cause it's a 100

Step-by-step explanation:

100 + 80 + 9

which inequality is true?

Answers

Answer:

the answer is B

Step-by-step explanation:

I need the correct answer not the wrong answer or the I don’t know answer CORRECT..

Answers

Answer:

6 un

Step-by-step explanation:

2 22= 6

Answer:

1

Step-by-step explanation:

2devided

by 2 =1

Jackson builds legos at a rate of 3 projects per hour. Write a function that represents the relationship between the amount of Legos built, b, and the number of hours he works, h.

Answers

Answer:b=3h

Step-by-step explanation:

1. A grid shows the position of a subway stop and your house. The subway stop is located at (-10, -1) and your house is located at (-18, -16). What is the distance between your house and the subway stop?
A.17
B.22
C.19
D.15

Answers

I think it would be D since it is between I hope this help if it did mark me






Brainly

What’s the slope of the graph? (photo included)
giving out brainliest!

Answers

Answer:

Using the slope formula with points (0,-1) and (-4,4)

Step-by-step explanation:

Step 1: find the points, (0,-1) and (-4,4)

Step 2: Insert plot points into Slope formula: (tip: M means slope)

m(slope)= [tex]\frac{y_{2} - y_{1}}{x_{2}-x_{1}}[/tex]   ->   m(slope)=[tex]\frac{4-(-1)}{-4-0}[/tex]    

Step 3: Solve:

m(slope)=[tex]\frac{5}{-4}[/tex]

Answer:

Slope is [tex]\frac{5}{-4}[/tex]  

or m = [tex]\frac{5}{-4}[/tex]

OR (if your teacher wants the answer in decimal form rounded to the nearest 10th.) m = -1.3

Which expression is equivalent to 4 – (-7)
a 7+ 4
b 4 - 7
c-7 - 4
d -4 + 7

Answers

Answer:

A. 7 +4

Step-by-step explanation:

4 -( - 7 )

4 + 7

7 + 4

Answer:

a

Step-by-step explanation:

4 + 7 = 11. subtracting a negative number is the same as adding

Which graph is this?

Answers

It is a Parallel graph
A parallel graph I think

what is 52.03 squared?

Answers

Answer:

It is 2707.1209

Step-by-step explanation:

The Tigers, a football team, must gain 10 yards in the next four plays to keep possession of the ball. The Tigers lose 24 yards, gain 4 yards, and lose 10 yards. How many yards do they need to keep possession?
40
20
-20
-8

Answers

Answer:

B. The must gain 20 yards to keep possession

Step-by-step explanation:

Let the number of yards gained be positive

Let the number of yards lost be negative

Since the total that must be gained in the next four games is 10, hence the total is +10

If The Tigers lose 24 yards, gain 4 yards, and lose 10 yards in the first three rounds with x being the number of yards in the fourth round, this is expressed as;

-24 + 4 - 10 + x = 10

-20 - 10 + x = 10

-30 + x = -10

x = -10 + 30

x = 20

Hence they need 20 yards in the last round to keep possession

If 12 g of a radioactive substance are present initially and eight years later only 6 g remain, how much of the substance will be present after 11 years

Answers

Answer:

4.083g

Step-by-step explanation:

12 g of a radioactive substance are present initially and eight years later only 6 g remain, how much of the substance will be present after 11 years

Starting with half life, we want to find k.

In a 4 year period, t=8 and A quantity will be reduced to (1/2)*A.

(1/2)= e^k8

In(1/2)

Find f(-5) If f(x) = lx+ 1l.

Answers

the answer would be four

Find... (look at the picture)

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

KJI = KJY + YJI

Thus ;

[tex]168 =( 8x - 4) + (36x - 4)[/tex]

[tex]168 = 8x - 4 + 36x - 4[/tex]

Collect like terms

[tex]168 = 44x - 8[/tex]

Add sides 8

[tex]168 + 8 = 44x - 8 + 8[/tex]

[tex]176 = 44x[/tex]

Divide sides by 44

[tex] \frac{176}{44} = \frac{44}{44} x \\ [/tex]

[tex] \frac{16 \times 11}{4 \times 11} = x \\ [/tex]

[tex]4 = x[/tex]

[tex]x = 4[/tex]

So ;

[tex]YJI = 36x - 4[/tex]

[tex]YJI = 36(4) - 4[/tex]

[tex]YJI = 144 - 4[/tex]

[tex]YJI = 140°[/tex]

Done...

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

choose the correct solution and graph
z+9≤6

Answers

Answer:

z ≤ -3

Step-by-step explanation:

z + 9 ≤ 6

z ≤ -3

The price of a can of beans is raised from 64 cents to 74 cents. Approximately what is the percent of increase in the price of the can of beans?

Answers

Answer:

15.6%

Step-by-step explanation:

The formula for the percent of change is

Original - new/ original

So

(74-64)/ 64 = 0.1562

Make that a percent

15.6%

In a recent year, 0.57 of those registered to vote in the United States voted in an election.

Write 0.57 as a percent.

Answers

Answer:

57%? I think.

Step-by-step explanation:

Answer: 57% iḿ sure.

Step-by-step explanation:

Two people are driving to work at different constant speeds. The graph below shows the distance traveled over time by driver 1.


The table (no graph included just the table) below shows the distance traveled over time by driver 2.


What is the difference between the speeds of the two drivers in mph?

Answers

Answer:

5 mph

Step-by-sep explanation:

To find of out the difference between the speed of the two drivers in miles per hour (not in miles per minute), first, calculate the unit rate or speed of driver 1 using the graph, and driver 2 using the table given.

Unit rate/speed = distance travelled/time = y/x.

Speed of Driver 1/unit rate:

The graph shows 1.5 miles (y) is travelled in 2 minutes (x).

Convert the 2 minutes to hour, you will have:

[tex] \frac{2}{60} = \frac{1}{30} hr [/tex]

Speed in mph = [tex] \frac{y}{x} = \frac{1.5}{\frac{1}{30}} = 1.5*\frac{30}{1} = 45 [/tex]

Speed of Driver 1 in mph = 45 mph

Speed of Driver 2/unit rate:

The table shows 2.5 miles (y) is travelled in 3 minutes (x).

Convert the 3 minutes to hour, you will have:

[tex] \frac{3}{60} = \frac{1}{20} hr [/tex]

Speed in mph = [tex] \frac{y}{x} = \frac{2.5}{\frac{1}{20}} = 2.5*\frac{20}{1} = 50 [/tex]

Speed of Driver 2 in mph = 50 mph

Difference between the speed of the two drivers = 50 - 45 = 5 mph

Cans of corn are on sale at 10 for $4. What is the cost of 15 cans

Answers

Answer:$6

10*1.5=15

4*1.5=6

Step-by-step explanation:

Tickets to a fundraiser are $14 if purchased ahead of time, and $25 if purchased at the door. The total amount raised from all ticket sales was $788. If the number of tickets purchased ahead of time was five less than the number of tickets that were purchased at the door, how many tickets were purchased at the door?

Answers

Answer: 25(11)=275 which is the price of the 11 bought at the door

Find the prime factorization of 32. Write in exponential form.

A. 2 × 2 × 2 × 2 × 2


B. 26


C. 2 × 2 × 2 × 2


D. 25

Answers

The answer is A. 2*2*2*2*2

Answer:

find the prime factorization of 32. write in exponential form.

option A is correct

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