In order to find the zeros of f(x)=x2−8x+12, Jessica needs to first factor the quadratic function. Which of the following is the factored form of the function?

Answers

Answer 1
I’m pretty sure you meant x^2 so I’m going to answer based off that. Change the equation to look like this:

x^2-8x+12=0

Then you factor it. So it would turn into:
(x-6) (x-2) = 0

To solve for zeros, you just put the opposite of the number. In this case, since we have (x-6) the zero here would be positive 6 and for the (x-2), the zero would be positive 2. This is because if you put x-6 = 0 and solved for x, you would add 6 to each side making it a positive 6. The same applies for the (x-2).







Related Questions

Explain why the graph of the equation g(x) = -(x + 1 ) - 3 would be a parabola opening downward.

Answers

Answer: Because the a-value is negative.

Step-by-step explanation:

The vertex form of a quadratic equation is: y = a(x - h)² + k    where

"a" is the vertical stretch-a is a reflection over the x-axish is the horizontal shift (positive = right, negative = left)k is the vertical shift (positive = up, negative = down)

Given: g(x) = - (x + 1)² - 3

                    ↓

                 a= -1

Since the a-value is negative, the parabola will be reflected over the x-axis which will change the curve from (U-shaped) to (∩-shaped).

amy is scuba diving at a position 55.15 feet below sea level. she ascends 1.5 feet each minute for 15 minutes. what is amys position compared to the sea level after 15 minutes

Answers

Answer:

32.65 feet below sea level

Step-by-step explanation:

1.5x15=22.5

55.15-22.5=32.65

hope that helps

What’s the perimeter of the tabletop in feet?

Answers

Answer:

Perimeter = 14.0942 ft       (aprox)

Step-by-step explanation:

1 ft = 12 inches

1 inch = 1/12 = 0.08333 ft

4 inch = 4*0.08333 = 0.3333 ft

then:

there are:

4 quarters of circle = 4/4 = 1 complete circle

        perimeter = 2π r

         π = 3.1416

         r = radius

         perimeter = 2*3.1416*0.3333ft

         perimeter = 2.0942 ft       (aprox)

4 sides  (3ft each)

       perimeter = 4*3ft

        perimeter = 12ft

Total perimeter:

2.0942ft +´12ft = 14.0942 ft

3/8 + 1/8 - 1/6 + 1/4 =

Answers

0.58333333 is the answer
3/8+1/8=4/8=1/2
1/2+1/4=3/4 since denominator is 4 and numerator is (2*1)+(1*1)=3
3/4-1/6=7/12 since denominator is 12 and numerator is (3*3)-(2*1)=7
Final answer is 7/12

The point (0, –4) is located

Answers

I'm going to assume you're asking where the point is located on a coordinate plane.

We have x = 0 and y = -4.

So, we start at (0, 0) and move down 4 units.

Best of Luck!

(-2ab^-5)(4a^-2b)^-2

Answers

Answer:

  -a^5/(8b^7)

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)^c = a^(bc)

  a^-b = 1/a^b

__

  [tex](-2ab^{-5})(4a^{-2}b)^{-2}=(-2ab^{-5})(4^{-2}a^{-2(-2)}b^{-2})\\\\=\dfrac{-2}{16}a^{1+4}b^{-5-2}=\boxed{-\dfrac{a^5}{8b^7}}[/tex]

Write 80% as a fraction in Simplest form

Answers

Answer:

Step-by-step explanation:

80/100 = 8/10= 4/5

Simplify. Please provide steps on how to solve so I can learn.

Answers

Answer: Choice C

[tex](xy)^{1/2}[/tex] which is equivalent to [tex]\sqrt{xy}[/tex]

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

Explanation:

The exponent for the y term inside the parenthesis is 1/6 and then that expression is raised to the 3rd power. The exponents multiply to (1/6)*3 = 3/6 = 1/2

This means [tex]\left(y^{1/6}\right)^3 = y^{1/2}[/tex]

Having an exponent of 1/2 is the same as applying the square root, so,

[tex]\sqrt{x} = x^{1/2}[/tex]

Meaning,

[tex]y^{1/2}\sqrt{x} = y^{1/2}x^{1/2} = (xy)^{1/2} = \sqrt{xy}[/tex]

BRAINLIEST ASAP! PLEASE HELP ME :)
I need help with Part 2 of the question.

Answers

Steps to solve:

6a + 12 = 3(2a + 1) + 5

~Distribute right sides

6a + 12 = 6a + 3 + 5

~Simplify

6a + 12 = 6a + 8

~Subtract 12 to both sides

6a = 6a - 4

~Subtract 6a to both sides

0 = 4

Therefore, there are no solutions.

Best of Luck!

2 fraction bars. The first bar is labeled 1 with 8 boxes underneath that are labeled one-eighth. The second bar is labeled 1 with 8 boxes underneath that are labeled one-eighth. Use the drop-down menu to complete the statement. To find the quotient of 2 ÷ 3 8 , circle groups of ------

Answers

Answer:

1/3

Step-by-step explanation:

hope this helps  

Answer:

It is 3/8

Step-by-step explanation:

I got it right on Edge 2021.

what is 3.825 as a fraction with a guide?

Answers

Answer:

153/40

Step-by-step explanation:

The first step to finding the fraction is to get rid of the decimal points as fractions do not have decimals. To do this we can multiply it by 1000 which gives us 3825. To have this equal to the original number we add ÷1000 on the denominator which gives us 3825/1000 which is a fraction still equal to the original number (3825÷1000=3.825). Which can further be simplified to 153/40 (both numbers divisible by 25). This is the simplest fraction which can express the number 3.825 (153/40=3.825).

Hope this helped!

Can someone tell me if I’m right?

Answers

Answer:

yesssssssssssssssssssss

2/3 * 9 = ? PLEASE HELP

Answers

Answer:

6

Step-by-step explanation:

1. The average distance from the Earth to the moon is about 384,000 kilometers. What is this number written in scientific notation? ​

Answers

Answer:

3.84 x  10^5

Step-by-step explanation:

Answer:

3.84x10^5

Step-by-step explanation:

count how many times the decimal was moved to the right and that is the exponent

Use the graph to find the slope. What is the runners speed?

Answers

The formula for the slope is [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{20-10}{2-1}[/tex]

[tex]m=\frac{10}{1}[/tex]

[tex]m=10[/tex]

Hope this helps.

頑張って!

Answer:

The answer is 10 minutes per mile!

Step-by-step explanation:

I hope this helped! :)

Help i dont understand this someone help me pls :(

Answers

Answer:

X=7

Step-by-step explanation:

(2) means time 2 so use 5 times 2 and get 10 and take away 3 you get 7 and 7 is X

to prove I am right use 7x5-3/2=16-3x2=10

hey bro I was joking at first

Answer:

f(2) = 5(2) -3

         10 - 3

f(2) = 7

23^0 is equal to _____. 0 1 1/23 23

Answers

Answer:

1

Step-by-step explanation:

Anything to the power is 0 is equal to 1.

Answer:

the answer is 1

Step-by-step explanation:

Brenda received $25 for babysitting for 3 hours. If she is paid proportionally, how much should she get for 7.5 hours?​

Answers

Answer:

$187.5

Step-by-step explanation:

25 times 7.5 is 187.7

I NEED HELP PLEASE HELP ME.

Answers

(a) is 8 i believe
(b) would be 6

Answer:

(a)  8

(b)  6

:>

PLEASE HELP ME

A map has a scale of
2 in. = 17 mi. If you measured the distance between two cities to
be 19 in. on the map, how many miles would it actually be?
If necessary, round your answer to the nearest tenth.

Answers

Answer:

  161.5 miles

Step-by-step explanation:

19 inches is 9.5 times 2 inches. So, the actual distance is 9.5 times 17 miles:

  9.5 × 17 miles = 161.5 miles

Look at the correlation between Risk-Taking (R) and Relationship Happiness (HAPPY). Use the standard alpha level of 5%. How would you describe the relationship?

1. The relationship is non-significant.

2. There is a significant negative relationship.

3. There is a significant positive relationship.

4. The correlation is zero.

Answers

Image of the correlation between Risk-Taking (R) and Relationship Happiness (HAPPY) is missing, so i have attached it.

Answer:

Option 1 - The relationship is non - significant

Step-by-step explanation:

From the image attached, we can see that under the correlations table;

For correlation between relationship happiness and risk taking;

σ(sigma) = 0.053

Similarly, for correlation between risk taking and relationship happiness;

σ(sigma) = 0.053

.

Now,σ(sigma) = 0.053 is more than the standard alpha level of 5%(0.05). Thus, we fail to reject the null hypothesis since it is non - significant.

The value of the digit 9 is ten times as much as the 9 in 893,417.

Answers

Answer: 943,212

Step-by-step explanation:

Suppose that you want to know the value of a given digit in a given number, where the digit is x.

Now, you should count the position of this digit, starting at the decimal point and counting to the left.

This position, a number n, will give the value of our digit as:

Value = x*10^(n-1)

in the number 893,417 the digit 9 is in the fifth place (counting from right to left).

Then the value of this 9 is:

9*10^(5 - 1) = 90,000

Now, if we want something ten times larger than this, we have:

N = 10*90,000 = 900,000

Now the 9 is in the sixth place, then we must find a number with a 9 in the sixth place, for example, 943,212.

A sock drawer contains 5 different colors of socks. It has 20 white, 10 black, 10 gray, 6 red, and 4 purple. If you reach into the drawer and choose a sock randomly, what is the probability you will get a black sock? P (black) = StartFraction Number of favorable outcomes over Total number of outcomes EndFraction P(black) =

Answers

20+10+10+6+4=50 socks in total, therefore 10/50 =1/5

Answer:

1/5

Step-by-step explanation:

Total number of socks = 50( 20+10+10+6+4)

Number of black socks = 10

Therefore, 10/50= 1/5

the probability of getting a black sock is 1/5.

24,40 find the GCF i want the gcf of 24​

Answers

Answer:

The GFC would be 8

Step-by-step explanation:

12 - 1,2,3,4,5,6,7,8,12,24

40 - 1,2,4,5,8,10,20,40

Which of state of matter has no definite shape but does have a definite volume? (A) Liquid B) Element OC) Solid OD) Gas​

Answers

Answer:

Liquid

Step-by-step explanation:

solids :have definite shape and definite volume.

Liquids :have definite volume and shape of the container.(or no definite shape)

Gas: has no definite volume and no definite shape.

The answer would have to be liquid

Evaluate the limit with either L'Hôpital's rule or previously learned methods.lim Sin(x)- Tan(x)/ x^3x → 0

Answers

Answer:

[tex]\dfrac{-1}{6}[/tex]

Step-by-step explanation:

Given the limit of a function expressed as [tex]\lim_{ x\to \ 0} \dfrac{sin(x)-tan(x)}{x^3}[/tex], to evaluate the following steps must be carried out.

Step 1: substitute x = 0 into the function

[tex]= \dfrac{sin(0)-tan(0)}{0^3}\\= \frac{0}{0} (indeterminate)[/tex]

Step 2: Apply  L'Hôpital's rule, by differentiating the numerator and denominator of the function

[tex]= \lim_{ x\to \ 0} \dfrac{\frac{d}{dx}[ sin(x)-tan(x)]}{\frac{d}{dx} (x^3)}\\= \lim_{ x\to \ 0} \dfrac{cos(x)-sec^2(x)}{3x^2}\\[/tex]

Step 3: substitute x = 0 into the resulting function

[tex]= \dfrac{cos(0)-sec^2(0)}{3(0)^2}\\= \frac{1-1}{0}\\= \frac{0}{0} (ind)[/tex]

Step 4: Apply  L'Hôpital's rule, by differentiating the numerator and denominator of the resulting function in step 2

[tex]= \lim_{ x\to \ 0} \dfrac{\frac{d}{dx}[ cos(x)-sec^2(x)]}{\frac{d}{dx} (3x^2)}\\= \lim_{ x\to \ 0} \dfrac{-sin(x)-2sec^2(x)tan(x)}{6x}\\[/tex]

[tex]= \dfrac{-sin(0)-2sec^2(0)tan(0)}{6(0)}\\= \frac{0}{0} (ind)[/tex]

Step 6: Apply  L'Hôpital's rule, by differentiating the numerator and denominator of the resulting function in step 4

[tex]= \lim_{ x\to \ 0} \dfrac{\frac{d}{dx}[ -sin(x)-2sec^2(x)tan(x)]}{\frac{d}{dx} (6x)}\\= \lim_{ x\to \ 0} \dfrac{[ -cos(x)-2(sec^2(x)sec^2(x)+2sec^2(x)tan(x)tan(x)]}{6}\\\\= \lim_{ x\to \ 0} \dfrac{[ -cos(x)-2(sec^4(x)+2sec^2(x)tan^2(x)]}{6}\\[/tex]

Step 7: substitute x = 0 into the resulting function in step 6

[tex]= \dfrac{[ -cos(0)-2(sec^4(0)+2sec^2(0)tan^2(0)]}{6}\\\\= \dfrac{-1-2(0)}{6} \\= \dfrac{-1}{6}[/tex]

Hence the limit of the function [tex]\lim_{ x\to \ 0} \dfrac{sin(x)-tan(x)}{x^3} \ is \ \dfrac{-1}{6}[/tex].

In a class of 50 statistics​ students, 27
students received an A. What fraction of the class received an​ A?

Answers

Answer:

Fraction of the number that received an A= = 27/50

Step-by-step explanation:

In a class of 50 statistics​ students, 27

students received an A.

Total number of students=50

Number that received an A= 27

Fraction of the number that received an A= Number that received an A/Total number of students

Fraction of the number that received an A= = 27/50

I need help with these questions

Answers

Answer:

28. m<A=20°, m<B=70°

32. m<A=103°, m<B=77°

Step-by-step explanation:

complementary angle=a+b=90°

supplementary angle=a+b=180°

28. A+B=90°

      5x+17x+2=90°

      22x+2=90°

      22x=90-2

      22x=88

        22x/22=88/22

      x=88/22=4

m<A=5x=5*4=20°

m<B=17x+2=17*4+2=68+2=70°

         Check

A+B=90°

20+70=90°

90°=90°

32. A+B=180°

     x+11+x-15=180°

     2x-4=180°

     2x=180+4

     2x=184

     2x/2=184/2

     x=184/2

     x=92

m<A=x+11=92+11=103°

m<B=x-15=92-15=77°

     Check

A+B=180°

103+77=180°

180°=180°

To make fruit salad,Maria bought 2 1/4 pounds of apples,and 1 1/3 pounds.How much fruit salad did this make

Answers

Answer:

If this was all the fruit, 3 and 7/12

Step-by-step explanation:

1/4 and 1/3 LCM is 12

1/4=3/12

1/3=4/12

2+1=3

3/12+4/12=7/12

3+7/12= 3 7/12

A recipe for chocolate chip cookies calls for 2 2/3 cups of flour. If you are making 1 1/4 recipes how many cups of flour are needed

Answers

Answer: 10/3 or 3 1/3 cups of flour
The ratio is (8/3 cups of flour : 1 batch or recipe)
In order to make 1 1/4 recipes you have to multiply the 1 by 1 1/4. But then in order to keep the ratio equivalent, you also have to multiply the other side by the same number.
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