Find the zeros of the function. Enter the solutions from least to greatest.
f(x) = (x+6)^2 - 49
lesser x=
greater x =

Answers

Answer 1

Answer:

Lesser x is -13.

Greater x is 1.

Step-by-step explanation:

We have the function:

[tex]f(x)=(x+6)^2-49[/tex]

And we want to find the zeros of the function.

So, set f(x) to 0 and solve for x:

[tex](x+6)^2-49=0[/tex]

Add 49 to both sides:

[tex](x+6)^2=49[/tex]

Take the square root of both sides. Since we're taking an even root, we will need plus/minus:

[tex]x+6=\pm 7[/tex]

Subtract 6 from both sides:

[tex]x=\pm7-6[/tex]

Evaluate for each case:

Case 1; 7 is positive:

[tex]x=7-6=1[/tex]

Case 2; 7 is negative:

[tex]x=-7-6=-13[/tex]

So, our zeros are:

[tex]\{x|-13, 1\}[/tex]

Our lesser x is -13, and our greater x is 1.

And we're done!


Related Questions

Find the measure of the missing angle.
Plzz

Answers

Answer:

a = 38 degrees

Step-by-step explanation:

ok that line is equal to 180 degrees

180 of the line subtract 52 degrees and 90 degrees equal the missing angle

52 + 90 = 142

180 - 142 = 38

a = 38

Juan read 300 pages in 5 days and Jose read 150 pages in 3 days are these reading rates equivalent

Answers

Answer:

No, they aren't equivalent.

Step-by-step explanation:

First divide 300 by 5 to figure out how many pages he read in each day.

That would be 60 pages each day.

Then, divide 150 by 3.

That would be 50.

Since 60 ≠ 50, the reading rates are not equivalent.

Hope I helped :)

Answer:

No.

Explanation:

If you divide 300 by 5, you get Juan's reading rate which is 60 pages per day. If you divide 150 by 3, you get Jose's reading rate which is 50 pages per day. Their reading rates are not equal.

Find the slope of the line passing through the points (-7,9) and (2,9).
slope=

Answers

Answer:  The slope is 0

Step-by-step explanation:

The slope is the difference between the y coordinates divided by the difference between the x coordinates.

Y:  9 - 9 = 0

x: -7-2 =   -9

0/-9= 0  

yes the slope is 0 :)

I'm building my first gaming pc, got any tips.

Answers

Answer:

A good graphics card.

Step-by-step explanation:

Answer: Most games are cpu based so get a good cpu. Also, too much rgb is not good, you need to spend more on your power supply than your rgb.

Step-by-step explanation:

im confused someone help :(

Answers

Answer:

Step-by-step explanation

In the 2011 New York City Marathon, 29,867 men finished the race, and 16,928 women finished the race. Each finisher was given a t-shirt. About how many men's shirts were given away? About how many women's shirts were given away? Explain how you found your answers.

Answers

Answer:

About 30000 men

About 17000 women

Step-by-step explanation:

This question has to deal with approximation.

We have:

[tex]Men = 29867[/tex]

[tex]Women =16928[/tex]

To get the required answer, we have to approximate the given parameters.

For men, we have:

[tex]Men = 29867[/tex]

[tex]Men =30000[/tex]  -- Approximated

For women, we have:

[tex]Women =16928[/tex]

[tex]Women = 17000[/tex] -- Approximated

This implies that about 30000 men and 17000 men received the t shirts

Let n be equal to 156% of 70. Which of the following proportions is true?

Answers

Answer:

156/100=n/70

Step-by-step explanation:

1.56/70=109.2

156/100=1.56

109.2/70=1.56

as far as im concerned 1.56 and 1.56 is equal lol

The true property is (156/100) = (n/70).

What is the percentage?

The percentage is a ratio that can be expressed as a fraction of 100.

Given that n is equal to 156% of 70

n=156% of 70

n=156% × 70

n= (156/100) × 70

(n/70) = (156/100)

Or, (156/100) = (n/70)

Hence, the true property is (156/100) = (n/70).

Learn more on percentages here:

https://brainly.com/question/14979505

#SPJ2

The complete question is:

Let n be equal to 156% of 70. Which of the following proportions is true?

A. (70/100) = (165/n)

B. (156/70) = (n/100)

C. (100/70) = (165/n)

D. (156/100) = (n/70)

Simplify the expression.
2x3y + 7x3y – xy3

Answers

Answer:

9x3y - xy3

Step-by-step Explanation

plz help me out! What is the result when x^3 + 6x^2 + 10x + 25 is divided by x+ 5?

Answers

Answer:

x² + x + 5

Step-by-step explanation:

Using Synthetic division

 - 5 | 1    6    10     25

        ↓  - 5   - 5   - 25

       -----------------------

        1    1      5      0 ← remainder

Since the remainder is zero then (x + 5) is a factor of the polynomial

The Quotient = x² + x + 5

Thus

x³ + 6x² + 10x + 25 = (x + 5)(x² + x + 5)


Yolanda bought some books. She spent a total of $45 after a discount of $6 off of her total purchase. Each book cost $3. How many books did she buy?

Answers

Answer:

ignore sorry need brainly answers

Step-by-step explanation:

Answer:

Yolanda bought 17 books.

Step-by-step explanation:

$45 + $6 = $51

$51 ÷ $3 = 17 books

You're welcome!

If a tennis court is 24 meters long, what is the approximate length in yards?

Answers

Approximately 26.2 yards
Because 1 meter = 1.094 yards

Hope this helped :)

what is the equation of the line in standard form through each point? (3,1) & perpendicular to -4c + y - 1= 0

Answers

c = 1/4 y + -1/4 is the answer
You already got the answer to late

What is 8785000000 in Scientific notation

Answers

Answer:

8.785 × [tex]10^{9}[/tex]  

I hope this helps!

What is the range of the set of ordered pairs below? {(2, 3),(0, 6),(- 2, 9),(4, 0)}​

Answers

Answer:

{3,6,9,0}

Step-by-step explanation:

The range is the set of all second elements of ordered pairs (y-coordinates).

the scale factor for the triangles below is 3

Answers

Did you forget to add a picture or something? I don't know how to answer this question properly.  

Mr Ramos is going to build a square-shaped room onto his house. Mr. Ramos wants the room's length to be as close to 10 ft as possible. Which area should his room have to give him the side length closest to 10?

Answers

Answer:

100ft²

Step-by-step explanation:

The problem here is to find the area of the room that will give a length of 10ft.

  Note;

 The room is a square room.

Now let us solve this problem;

   Area of a square is:

    Area = L²

Where L is the length of the room;

So the area of the room is;

    Area = 10² = 100ft²

The area of the room that will give a length of 10ft is 100ft²

A tree struck by lighting broke at a point 16 feet above ground level. The broken trunck formed a right triangle with the top of the tree resting on the ground 18 fett from the base of the tree what was the full height of the tree to the nearest foot before it was struck by lighting

Answers

Answer:

okay i need to know the options

Step-by-step explanation:

help me answer this question in the picture :)))

Answers

Answer:

x = 15p

-75

Explanation:

remove brackets:

4px + 4 = 64

solving for x --> 4px = 64 - 4 then--> 4px = 60

then diving both sides by 4p --> x = 60\4p --> x = 15p

now solving for x when p is -5

we will substitute the -5 in the equation we got --> x= 15 (-5)

which will give us --> x = -75

4(px + 1) = 64
The value of x in terms with p is: 3.
The value of x when p is -5 is: -3

Explanation: 64 divided by 4 equals to 16. So whatever p and x are has to equal to 15 (because there’s a +1). So it’s naturally be 5 times 3 which is 15. P standing for 5 and x standing for 3. The first one just asks what x is, and it’s 3. And the second one asks what x would be if it was -5 instead of 5. So naturally it would be -3 because a negative times a negative is a positive and the answer we have is a positive. The first answer is 3 and the second is -3.

Answer the following above:

Answers

Answer:

-3.1

Step-by-step explanation:

Just divide -15.5 by 5.

-15.5/5 is -3.1. C’est trop simple!

Which shows sets to which the number
on the number line belongs

Answers

Integer,Irrational is the answer
Irrational integer on number line belongs to on the set of numbers

HELP PLEASE HELP <3......

Answers

The slope is 2 hope this helps

For this question, you want to look at the equation and find a number with a variable.

For y = 2x + 3, 2x is the thing you should be looking at.

For the slope, you need to take out the x in 2x to find the answer. So, 2 should be your answer!

Multiply 4 2/7⋅2 1/5

Answers

Answer: 9.4285

Step-by-step explanation: just used a calc

Answer: 9  3/7

4 2/7 ⋅ 2 1/5 = 9  3/7

Rewrite this expression as a power of the given number.

4^2 = 2^

Answers

The answer is 2^4, since 4^2 is 16, 2•2=4 4•2=8 8•2=16

The answer to the equation is [tex]4^2=2^4[/tex]

[tex]4^2=16[/tex]

[tex]2^1= 2[/tex]

[tex]2^2=2*2=4[/tex]

[tex]2^3=2*2*2=8[/tex]

[tex]2^4=2*2*2*2=16[/tex]

What is 3y-5=6-4x in standard form

Answers

3y - 5 = 6 - 4x

Standard Form:
4x + 3y = 11

i’ll give lots of points + brainliest

write the equation that represents stretching y=x^2 by a factor of 6

Answers

y=x<2-6 and the answer is -4

Which graph best describes the following situation?
Matt was standing 3 feet from the edge of the pool. He walked away from the pool for 4 seconds. Then he was
12 feet away from the edge of the pool.

Answers

Answer:

Suppose that P(t) describes the position of Matt over time

Let's define the edge of the pool as our zero in the position axis.

At the beginning, Matt was 3 ft away from the edge, so we have:

P(0s) = 3ft

He walked away for 4 seconds, then he was 12 ft away from the edge.

Then at t = 4s his position was:

P(4s) = 12ft.

So we have two points, (0s, 3ft) and (4s, 12ft).

The graph that describes this situation will be the line that connects those two points.

An example is shown below.

Answer:

0,3 - 4,12

Step-by-step explanation:

i need answers to b and c ASAP this i due tomorrow please label which is b and c

Answers

Part B: Answer - $150

First, we have to find the t value in Jumel’s equation that will get him $75. So our equation is 75=60+0.05t. Then solve for your t value (subtract 60 from each side, divide by 0.05). You should get 300 as your t value. After this, just plug 300 into Ashley’s equation to find the cost. Your answer should be $150

Part C: Because both the equations are linear, both plans will cost the same at the point of intersection on a graph. This is where a certain t value for equation will produce the same c value, or cost

13. There are 48 passengers on a transit bus. At the next stop, 16 passengers got off and 12 others got on the bus.

a) What is the ratio of the passengers who got off the bus compared to the original number on the bus? Show the ratio in lowest terms.

b) What is the ratio of the passengers who got on the bus at the stop compared to the new total then on the bus?

Answers

Answer:

a) 1/3

b) 12/44

Step-by-step explanation:

To find the answer to a you must simplify the fraction 16/48 which would give you 1/3.

To find the answer to b you must first subtract 16 from 48 and then add 12. You should get 44 so your ratio of passengers who got on the bus at the stop compared to the new total then on the bus would be 12/44.

What is x when f(x)=0?

Answers

x = 0

Anything multiplied my 0 is indeed, 0. So f • 0 = 0.

Hope this helps! :D

Since there are 36 inches in one yard, how many inches are in 3 7/8 yards?

Answers

Answer:

I got 31.5

Step-by-step explanation:

7/8×36=31.5

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