Solve the quadratic function by completing the square. What are the missing pieces in the steps?
-32 = 2(x2 + 10x)
-32 + = 26x2 + 10x +25)
18 = 2(x + 5)2
9 = (x + 5)2
=X+5
x = -2 or x =

Solve The Quadratic Function By Completing The Square. What Are The Missing Pieces In The Steps?-32 =

Answers

Answer 1

Answer:

Step-by-step explanation:

Given quadratic equation is,

-32 = 2(x² + 10x)

-32 + 50 = 2(x² + 10x + 25)

18 = 2(x + 5)²

9 = (x + 5)²

± 3 = (x + 5)

x = -2 or x = -8


Related Questions

Name three solutions to the inequality. x<7

Answers

Answer:

x=anything less than 7

x=5

x=-2

x=-7

x= anything less than 7

Step-by-step explanation:

(b+1/4) (b-1/4)(b+64)

Answers

Answer: b^3+ 64b^2 - b/16 -4

Step-by-step explanation:

Ajay has equal numbers of rock songs and pop songs loaded on his personal music player. He has it set to play songs plz helpp...on a random shuffle. Suppose Ajay is designing a simulation that could be used to estimate the probability that the next three songs to play are all alternative rock songs.

Which simulation design could Ajay use to estimate the probability?

O A. Random digits Let 1, 2, 3, 4,5rock Let 6,7,8,9,0 pop Select three rondom digits. Repeat

O B. Number cube Let 1,2 = rock Let 4,5 - pop Roll cube three times. Repeat

O C. Number cube Let 1 = rock Let 2 = pop Roll cube three times. Repeat

O D. Random digits Let 1,2 = rock Let 3,4,5,6,7,8,9,0 = pop select three digits. repeat​

Answers

Option D. The simulation design that Ajay can use to estimate the probability would be Random digits Let 1,2 = rock Let 3,4,5,6,7,8,9,0 = pop select three digits. repeat​.

How to find the simulation design

The number cube has being said to be made up of six digits. The digits are said to be assigned in pairs of three.

Hence we are going to have a case of 1/3. This is what can then be used to model the probability.

Read more on simulations here:

https://brainly.com/question/15892457

#SPJ1

id also appreciate help on this one ^^

Answers

Answer:

The area of the given figure is 87.55 cm square.


[tex] \sf\sqrt{256} [/tex]
[tex] \\ \\ \\ [/tex]

Answers

Answer:

I hope this helps you hehehe :)

Step-by-step explanation:

=√256

=√4×4×4×4

=√4^4

=44/2

=4^2

=16

What is Limit of g (x) as x approaches 1, if it exists?
0
7,000,000
700,000,000
DNE

Answers

Answer:

7,000,000

Step-by-step explanation:

Limit of a function:

The limit of a function is finding looking at it's lateral limits.

If the lateral limits are equal:

The limit exists.

[tex]\lim_{x \rightarrow a} f(x) = \lim_{x \rightarrow a^{+}} f(x) = \lim_{x \rightarrow a^{-}} f(x)[/tex]

If lateral limits are different:

That is:

[tex]\lim_{x \rightarrow a^{+}} f(x) \neq \lim_{x \rightarrow a^{-}} f(x)[/tex], then the limit does not exist.

In this question:

To the left of 1, that is, 0.9999....

[tex]\lim_{x \rightarrow 1^{-}} g(x) = 7,000,000[/tex]

To the right of 1, that is, 1.0001...

[tex]\lim_{x \rightarrow 1^{+}} g(x) = 7,000,000[/tex]

Since the both limits are the same, the limits exists and it's value is of  7,000,000.

Answer:

D

Step-by-step explanation:

It shows it in the quwestions image

Plz help me well mark brainliest!..

Answers

9514 1404 393

Answer:

  (a)  (-3/4, 1/2)

Step-by-step explanation:

There are 4 grid lines between 0 and 1 in each direction, so each grid line represents 1/4 unit. Two of them is 1/2 unit; 3 of them is 3/4 unit. The x-dimension is listed first in the ordered pair.

Point S has coordinates (-3/4, 1/2).

Math grade 9, can anyone solve it

Answers

Answer:

a) Acceleration = 2.4 m per seconds²

b) Distance traveled = 132 m

Step-by-step explanation:

a). Acceleration of an object is defined by the equation,

v = u + at

Here, v = Final speed

u = Initial speed

a = Acceleration

t = Duration Or time

From the graph attached,

Between t = 0 and t = 5 seconds,

v = 12 meter per second

u = 0

t = 5 seconds

B substituting values in the equation,

12 = 0 + a(5)

a = [tex]\frac{12}{5}[/tex]

a = 2.4 m per seconds²

b). Equation representing distance traveled by an object,

v² = u² + 2as

Here, v = Final speed

u = Initial speed

a = Acceleration

s = Distance traveled

By substituting these values in the given equation,

1). Between t = 0 to t = 5 seconds,

(12)² = 0 + 2(2.4)s

s = [tex]\frac{144}{4.8}[/tex]

s = 30 m

2). Between t = 5 to t = 12 sec

Car moved with a constant speed (Acceleration = 0)

Distance traveled = Speed × Time

                             = 12 × 7

                             = 84 m

3). Acceleration of the car between t = 12 sec to t = 15 sec

By substituting the values in the equation,

v = u - at

0 = 12 - a(3)

a = 4 meter per seconds²

Distance traveled in this duration,

v² = u² - 2as

0 = (12)² - 2(4)s

144 = 8s

s = [tex]\frac{144}{8}[/tex]

s = 18 m

Therefore, total distance covered by the car = 30 + 84 + 18

= 132 meters

Review the graph of piecewise function g(x).

Answers

Answer:

I'm g(=)0 hope you get the point now.

Answer:

B

Step-by-step explanation:

I got it right

help ugent!
12 + 2 + 2 + 2 + 2 + 2 ^ 2=

Answers

[tex]24.[/tex]

Step-by-step explanation:

[tex]12 + 2 = 14.[/tex]

[tex]14 + 2 = 16.[/tex]

[tex]16 + 2 = 18.[/tex]

[tex]18 + 2 = 20.[/tex]

[tex]20 + {2}^{2} = 24.[/tex]

Note:- 2² = 2×2 = 4. So, 2² = 4.

Answer:

24

make sure you calculate the answer next time!

Given the function h(p)=p2 + 2p evaluate h(3).

Answers

Answer:

12

Step-by-step explanation:

h(3)=3x2 + 2x3 = 6+6 = 12

Answer:

[tex]h(p) = {p}^{2} + 2p \\ h(p) = p(p + 2) \\ h(3) = 3(3 + 2) \\ = 3 \times 5 \\ = 15[/tex]

[tex] \small{ \star{ \underline{ \blue{ {becker}}}}}[/tex]

Write two fractions that are equal to 1/2.

Answers

Answer:

2/4 nd 4/8

Step-by-step explanation:

Extras; 3/6, 5,10, 6/12

Answer:

2/4 and 3/6 .

Step-by-step explanation:

Given :-

A number 1/2.

We need to write two fractions which equals to 1/2 . For that we can multiply the denominator and numerator by same number .

First equal fracⁿ :-

[tex]:\implies[/tex] 1/2 × 2/2 = 2/4

Second equal fracⁿ :-

[tex]:\implies[/tex] 1/2 × 3/3 = 3/6

Hence the two equal fractions are 2/4 and 3/6 .

Nootmath How can you tell a graph of an exponential represents decay?

Answers

Answer:

Step-by-step explanation:


Indra completed 85% of a Multiple Choice Test in Science. She has 3
questions to complete.
(a) How many questions are there in the test?

Answers

Answer:

20 questions

Step-by-step explanation:

There is 15% of the test left and 3 questions

15/3 = 5

85/5 = 17

17+ 3 = 20

3350 5654 10.. can anyone guess the last two numbers?

Answers

21??????????????????

For which shape is 180 degrees the smallest angle of rational symmetry?

Answers

I believe it’s c and a, but I mostly think it’s C!

Factor the expression completely. -9x^3+72x^5 −9x 3 +72x 5

Answers

Answer:

72x5−9x3+333x

Step-by-step explanation:

Choose an appropriate data display for the situation. Write the CAPITAL letter of your choice.
No repeats.
A. bar graph
_5.) the profits of a company over a year
B.circle graph
C. scatter plot
_6.) a person's income based on age
D. line graph
E. pictograph
7.) percent of student athletes in each sport
8.) the numbers and types of different species of fish at an aquarium

Answers

Answer:

LINE GRAPH : the profits of a company over a year

SCATTER PLOT : a person's income based on age

CIRCLE GRAPH : percent of student athletes in each sport

BAR GRAPH: the numbers and types ofdifferent species of fish at an aquarium

Step-by-step explanation:

The scatter plot are useful when trying to create a graphical relationship between two measured variables, like the camparison or relationship between age and income.

Line graph is used to monitor changes in a certain variable over time. Observing the fluctuation or variation in income over a certain period.

The circle graph represents the segmentation of a whole into groups or categories with each segment representing a proportion or percentage of the whole.

The bar graph also useful for categorization using vertical bars.

Which expression has a value of 7/12

Answers

Answer:

there isn't any choices but 6/12+1/12=7/12

or 4/12+3/12=7/12

hope this helps

have a good day :)

Step-by-step explanation:

Someone please explain!

Answers

I don’t think I can tbh

Answer:

Let the number of beads = x

Sum of the ratio = 11

a) fraction of yellow beads :

                              [tex]\frac{11}{15} \ of \ x \\[/tex]

b) given there are 75 beads , x =75

# of yellow beads =

                      [tex]\frac{11}{15}*75 = 55\\[/tex]

#of green beads =

                     [tex]\frac{4}{15} *75 = 20[/tex]

Number of green beads = 20

c) After adding more beads.

Given yellow beads = 3 times as many green = 3×20 = 60

Gabby added  more yellow beads.

answer pls i need the answer not a virus link

Answers

answer: rhe answer is 90

the answer is y=90 :)

Plsss helppp I’ll mark you brainliest!!!!

Answers

Answer:

0.5

Step-by-step explanation:

To find the rate of change, we can use the slope formula of [tex](y^2-y^1) / (x^2-x^1)[/tex].

Plugging in the first two points gets us:

[tex](1 - .5) / (1-0)[/tex]

[tex]0.5 / 1[/tex]

[tex]0.5[/tex]

That is your rate of change.

Help me plz I did the first problem

Answers

Answer:

b. 30 > 2d

   15 > d

c. 15/f < 5

   15 < 5f

   5 < f

d. 42 [tex]\leq[/tex] 50 - m

   42 + m [tex]\leq[/tex] 50

   m [tex]\leq[/tex] 8

A cylinder has a height of 9 inches. Its volume is 4,775.94 cubic inches l. What is the radius of the cylinder

Answers

Answer:

The radius of the cylinder is 13.0 inches.

Step-by-step explanation:

The volume of a cylinder is given by:

[tex] V = \pi r^{2}h [/tex]

Where:

V: is the volume = 4775.94 in³

r: is the radius =?

h: is the height = 9 in

Hence, by solving the above equation for "r" we have:

[tex] r = \sqrt{\frac{V}{\pi h}} = \sqrt{\frac{4775.94 in^{3}}{\pi 9 in}} = 13.0 in [/tex]                    

Therefore, the radius of the cylinder is 13.0 inches.

I hope it helps you!

What ratio/s are equivalent to the following ratio: 6:8
a 3:4 b 12:16. с 18:24 d 30:40​

Answers

Answer:

a. 3/4

Step-by-step explanation:

6:8

=6/8

=3/4

Hope it Helps

50 POINTS !!


PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.


Answers

Answer:

80

Step-by-step explanation:

18^2 + 80^2 = 82

324 + 160 = c^2

Answer:

80 cm

Step-by-step explanation:

To solve this problem, you can use the pythagorean theorem which is a^2 + b^2 = c^2. We are given that a = 18, and c as the hypotenuse equals to 82. We can plug these numbers into the theorem:

18^2 + b^2 = 82^2

324 + b^2 = 6724

b^2 = 6400

b = 80 cm

Evaluate 25^3/2
......

Answers

Answer:

125.........................

Answer:

125

Step-by-step explanation:

Rewrite:

25^1.5=125

Use the integers that are closest to the number in the middle. √57

Answers

7 and 8, if thats what the question means

Answer:

50 or 60 (sorr if wrong

Step-by-step explanation:

Solve Equations: 8x + 260 = -5x + 650

Answers

Answer:

8x+260=-5x+650

8x+5x=650-260

13x=390

x=390/13

x=30

Step-by-step explanation:

Step-by-step explanation:

8x+5x=650-260

13x=390

X=30

5 gal- 1 qt = _____ gal ______ qt

Answers

4 gallons (gal) & 0 quarts (qt)
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