find the zeros of the function f(x) = (x+3)^2-4=0

Answers

Answer 1

Answer:

[tex]x=-1[/tex] and [tex]x=-5[/tex]

Step-by-step explanation:

[tex]f(x)=(x+3)^2-4[/tex]

[tex]0=(x+3)^2-4[/tex]

[tex]0=(x^2+6x+9)-4[/tex]

[tex]0=x^2+6x+5[/tex]

[tex]0=(x+1)(x+5)[/tex]

[tex]x=-1[/tex] and [tex]x=-5[/tex]

Answer 2

Answer:

[tex]x=-1,\:x=-5[/tex]

Step-by-step explanation:

Solve the equation:

[tex]f(x)=\left(x+3\right)^2-4=0[/tex]

[tex]\left(x+3\right)^2-4=0[/tex]

[tex]\mathrm{Add\:}4\mathrm{\:to\:both\:sides}[/tex]

[tex]\left(x+3\right)^2-4+4=0+4[/tex]

[tex]\left(x+3\right)^2=4[/tex]

[tex]x+3=\sqrt{4}:x=-1[/tex]

[tex]x+3=\sqrt{2^2}[/tex]

[tex]x+3=2[/tex]

[tex]x+3-3=2-3[/tex]

[tex]x=-1[/tex]

[tex]x+3=-\sqrt{4}:x=-5[/tex]

[tex]x+3=-\sqrt{4}[/tex]

[tex]x+3=-2[/tex]

[tex]x+3-3=-2-3[/tex]

[tex]x=-5[/tex]

Now, look at the points plotted on the graph:

Find The Zeros Of The Function F(x) = (x+3)^2-4=0
Find The Zeros Of The Function F(x) = (x+3)^2-4=0

Related Questions

Is Helena correct? If so, explain how she can tell that the diagram represents if she is not correct,
explain why not

Answers

Answer:

yes it she is

Step-by-step explanation:

The Kicking Cacti and the Sprinting Stingrays met in their town's annual kickball
championship this year. They were so evenly matched that the game lasted 11 innings! The
Stingrays had 3 pitchers, and each of them pitched for the same number of innings.
How long did each of the pitchers for the Stingrays pitch?
Write your answer as a proper fraction or mixed number.
innings

Answers

Using proportions, it is found that each of the pitchers for the Stingrays pitched for [tex]\mathbf{\frac{11}{3} = 3\frac{2}{3}}[/tex] innings.

This question is solved by proportions, using a rule of three.In total, the Stingrays pitched 11 innings, with 3 pitchers. Each pitcher pitched the same amount of innings, hence, 1 pitcher pitched x innings.

The rule of three is:

3 pitchers - 11 innings

1 pitcher - x innings

Applying cross multiplication:

[tex]3x = 11[/tex]

[tex]x = \frac{11}{3}[/tex]

11 divided by 3 has result 3 with remainder 2, hence, also considering the answer as a mixed number:

Each of the pitchers for the Stingrays pitched for [tex]\mathbf{\frac{11}{3} = 3\frac{2}{3}}[/tex] innings.

You can learn more about proportions at https://brainly.com/question/24372153

If √2 = 1.414, then the value of 1/2 √16200.
please friends koi to solve kar do.​

Answers

Prime Factorization method:

Given that √2 = 1.414

The value of (1/2)√(16200)

16200 can be written as

16200 = 2×8100

16200 = 2×2×4050

16200 = 2×2×2×2025

16200 = 2×2×2×5×405

16200 = 2×2×2×5×5×81

16200 = 2×2×2×5×5×3×27

16200 = 2×2×2×5×5×3×3×9

16200 = 2×2×2×5×5×3×3×3×3

√16200 = √(2×2×2×5×5×3×3×3×3)

√16200 = √2×(2×2)×(5×5)×(3×3)×(3×3)

√16200 = 2×5×3×3√2

√16200 = 90√2

Now,

(1/2)√16200

⇛(1/2)×90√2

⇛90√2/2

⇛45√2

⇛45×1.414

⇛63.63

Answer: Hence, value of (1/2)√(16200) is 63.63

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If √2 = 1.414 then the value of 5+√2 / 5-√2 is..

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The value of 1/2√16200 given the value of √2 = 1.414 is 63.63

How to use prime factorization to solve square root

Prime factorization of √16200

= 3 × 3 × 5 × √2

= 90√2

Given:

√2 = 1.414

1/2√16200

= 1/2 × 90√2

= 90√2 / 2

= 45√2

= 45 × √2

= 45 × 1.414

= 63.63

Therefore, the value of 1/2√16200 is 63.63

Learn more about prime factorization:

https://brainly.com/question/9523814

The cost was 1,784. they also had to pay 7.25% sales tax. what was the total amount paid

Answers

Answer:

1913.34

Step-by-step explanation:

We multiply 1,784 by 0.00725. OR if you have a calculator that multiplies percentages you can write it out as 1784 * 7.25%.

Given that D, E, and F are the midpoints of their respective sides, and AC = 24, what’s the length of DE¯¯¯¯¯¯¯¯?

An image of a triangle ABC. The midpoint of AB is labeled D, the midpoint of AC is labeled F, and the midpoint of BC is labeled E. Midsegments DE, EF, and FD are drawn. AC is labeled 24.

Question options:

2 units


6 units


12 units


4 units

Answers

Answer:

DE = 12

Step-by-step explanation:

Consider Δ ABC

A segment joining the midpoints of 2 sides of a triangle is half the length of the third side.

D and E are the midpoints of 2 sides of the triangle, then

DE = [tex]\frac{1}{2}[/tex] AC = [tex]\frac{1}{2}[/tex] × 24 = 12

What is the slope for these cordinates


(-8,11) , (17,4)

Answers

Answer:

[tex]\displaystyle m = \frac{-7}{25}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinate Planes

Coordinates (x, y)

Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Identify.

Point (-8, 11)

Point (17, 4)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m.

Substitute in points [Slope Formula]:                                                              [tex]\displaystyle m = \frac{4 - 11}{17 - -8}[/tex][Order of Operations] Evaluate:                                                                      [tex]\displaystyle m = \frac{-7}{25}[/tex]

[tex]\huge{\purple{\underline{\underline{\bf{\pink{ANSWER:-}}}}}}[/tex]

We've been asked to find slope of the following coordinates which are (-8,11) and (17,4).

The standard formula to calculate slope is given by,

[tex]:\implies\footnotesize\rm{Slope = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]

[tex]:\implies\footnotesize\rm{Slope = \frac{4 - 11}{17 - ( - 8)} }[/tex]

[tex]:\implies\footnotesize\rm{Slope = \frac{ - 7}{17 + 8} }[/tex]

[tex]:\implies\footnotesize\rm{Slope = \frac{ - 7}{25} }[/tex]

The slope is -7/25.

Somebody please help

Write an equation of the line that passes through the given point and is (a) parallel and (b)
perpendicular to the given line.

Answers

Perpendicular: 3
Parallel:5
I think

How many 1/5 are in 3 1/2?

Answers

Answer:

17 1/2

Step-by-step explanation:

3 1/2 / 1/5=17 1/2

Which number is equivalent to 2^−5⋅ 3 ⋅ 2^2 ⋅ 3^3?

A. 648
B. 216
C. 81/8
D. 27/8

Answers

[tex]2^{-5} \cdot 3 \cdot 2^2 \cdot 3^3\\\\=2^{-5 +2} \cdot 3^{1+3}\\\\=2^{-3} \cdot 3^4\\\\=\dfrac{3^4}{2^3}\\\\=\dfrac{81}{8}\\\\\\\text{So, the answer is C.}[/tex]

What is the approximate value of q in the equation below? q log Subscript 2 Baseline 6 = 2 q 2 â€""1. 613 â€""1. 522 0. 585 3. 79.

Answers

The approximate value of q in the equation is [tex]0.774[/tex]

The equation is given as:

[tex]q\log_2(6) = 2[/tex]

Divide both sides of the equation by [tex]\log_2(6)[/tex].

So, we have:

[tex]q= \frac{2}{\log_2(6) }[/tex]

Determine log(6) base 2

[tex]q= \frac{2}{2.585}[/tex]

Divide 2 by 2.585

[tex]q= 0.774[/tex]

Hence, the approximate value of q in the equation is [tex]0.774[/tex]

Read more about logarithmic equations at:

https://brainly.com/question/11897620

Anyone know this? please help and Thank you very much!!!

Answers

[tex](9+7i)(6+3i)\\\\=54+27i + 42i + 21i^2\\\\=54+69i -21~~~;[i^2 =-1]\\\\=33+69i[/tex]

Write an equation in slope-intercept form of the line that passes through the given points
Х
у
- 2
4
0
1
2
- 2
4
-5

Answers

[tex]y= -\frac{3x}{2} +1[/tex]

Hi. I'm kind of confused on this question. Pls help

Answers

Answer:

B is the awnser.

Step-by-step explanation:

cuz it is incorrect.

Complete the table of values for x-y=6
On the grid, draw x+y=6

Answers

Answer:

couldnt draw sorry but heres the answers for a

Step-by-step explanation:

for x = -2

x+y= 6

-2+8=6

so y=8

for x=-1 do the same and y= 7

for x =0 y=6

for x=1 y=5

for x=2 y=4

for x=3 y=3

Plz can someone help me with this problem thank you

Answers

Step-by-step explanation:

sorry ..i dont know the answer for this question

ALGEBRA
GIVE THE EXPRSSION FOLLOWING CASE
1. Y IS MULTIPLIED BY -8 AND THEN 5 IS ADDED TO THE RESULT

Answers

Is there a picture that I can see so I can hopefully help you out?

PLEASE HELP ME

A rectangular plot of land is 90 ft long and 105 ft wide. On a map, the length is 3.6 in. Identify the width on the map.

Answers

Answer:

4.2 in

Step-by-step explanation:

90÷3.6 = 25

The plot of land is 25 times bigger than the map's scale. You have to divide 105 by 25 to get the same scale as the length (3.6 in.)

105÷25 = 4.2

Please give brainliest if that helped at all!

4.2 in I agree with you

Logan can make $50 per pool to clean pools during the summer to earn money. He did, however, need to
purchase some equipment to get started. After cleaning 3 pools, he was still down a total of $15.
Write a linear equation to represent the amount of money Logan has made, y, after cleaning x pools.

Answers

Answer:

Step-by-step explanation:

y = 50x - 165

Could someone help please

Answers

Step-by-step explanation:

1. x/3-2=6

x-6=18

x=18+6

x=24

2. x/5+1=5

x+5=25

x=25-5

x=20

Answer:

x = 24 , x = 20

Step-by-step explanation:

(a)

[tex]\frac{x}{3}[/tex] - 2 = 6 ( add 2 to both sides )

[tex]\frac{x}{3}[/tex] = 8 ( multiply both sides by 3 to clear the fraction )

x = 24

(b)

[tex]\frac{x}{5}[/tex] + 1 = 5 ( subtract 1 from both sides )

[tex]\frac{x}{5}[/tex] = 4 ( multiply both sides by 5 to clear the fraction )

x = 20

Which sentence elaborates Akhenaton’s changes to Egyptian religion?

Answers

Answer:

sentences 3,4, and 5 elaborate on the changes but since only 4 is a possible answer it must be sentence 4.

Answer: Akhenaton dedicated that only the sun god Aten would be worshiped in Egypt.

Step-by-step explanation:

what are all the roots of the function f(x)= x^3+3x^2-x-3

Answers

Answer:

\mathrm{Domain\:of\:}\:x^3+3x^2-x-3\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}

Step-by-step explanation:

5x - 8y = 20
what are x and y? :)

Answers

Answer:

x could be 10

y could be 5

those are some possible answers.

Answer:

x=4 and y=0

(4,0)

hope I help or maybe correct

Need help with the answer it’s confusing

Answers

16±0.12

Step-by-step explanation:

%uncertainity=uncertainity÷measured value×100%

0.75×16=100x

x=12÷100

x=0.12

ANS;16±0.12

graph -1,-1 on this graph​

Answers

Answer:

so that's how you plot their intersection

Help me pleaseeeeeeeeeeeeeee

Answers

The formula to find the volume of a cube is:

volume= a^3

OR

volume= a*a*a

(a stands for the side length)

The way you would write it is:

V=2.8^3

Then you solve.

You would get 21.952

But since you need to round to the tenth place it would be:

22

Hope this helps! :)

The hypotenuse of a right triangle measures 16 cm and one of its legs measures 11 cm. Find the measure of the other leg.

Answers

Answer:

The answer is 11.6 cm

Step-by-step explanation:

The equation of a right triangle is a^2+b^2=c^2 (a and b being its legs and c its hypothenuse.)

Now we must input 16 cm into c and 11 cm into either a or b.

a^2+11^2=16^2 which is equal to a^2+121=256.

subtract 121 from both sides to get a^2 by itself

a^2+(121-121)=(256-121)

a^2=135

to get "a" by itself, we must find the square root of 135.

√a^2=√135

a=11.6

Jessica's piggy bank has a total of $13.25 in dollar bills and quarters. If there are a total of 29 dollar
bills and quarters. Find out how many dollar bills and how many quarters are in the piggy bank.

Answers

Answer: $8 21 quarters

Step-by-step explanation:

20 quarters is $5 plus another is $5.25

8 dollars is $8 plus the $5.25 = $13.25

Have a nice day, and if you could be so kind as to give me a brainliest

What is the area of the square?



32 square units
64 square units
24 square units
16 square units

Answers

Answer is 64 square units

Answer:

64 square units

Step-by-step explanation:

All you have to do is multiply 8 by 8 to get 64.

please answer the two question and how you answered it NO LINKS AND NO WEBSITES I really need help with this.​

Answers

Answer:

x=10, y=-1

Step-by-step explanation:

x-y=11

2x+y=19

3x=30

x=10

10-y=11

-y=1

y=-1

USED ELIMINATION BC THERE WAS ALREADY A Y AND -Y

PLEASE HELP I BEG IMMA FAILLLLLLLLL

A rectangular garden is 40 ft wide and 55 ft long. On a blueprint, the width is 8 in. Identify the length on the blueprint.

Answers

Answer:

11

Step-by-step explanation:

First, you set up the proportion for the garden, 40/55 (width/length). Then, right beside it, you set up the proportion for the blueprint garden, 8/x (x because this is the answer we are trying to find). You can then do a scale factor to find the answer and the scale factor is 5 ( because 40 divided by 5 is 8) so you can divide 55 by 5 to get 11!! I hope this helps bro!! :D

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