Mathematics High School

what is the factored form of x2-6x-16 ?

Answers

Answer 1

Answer:

(x + 2)(x - 8)

Step-by-step explanation:

Factorize

x^2 - 6x - 16 =x^2 + 2x - 8x - 16 = x(x + 2) - 8(x + 2) =(x + 2)(x - 8)

Related Questions

Write 65 as a product of primes

Answers

Answer: 65 = 1 x 65 or 5 x 13. Factors of 65: 1, 5, 13, 65. Prime factorization: 65 = 5 x 13.

Step-by-step explanation:

Can someone rate my answer and tell me how i did pls /I measured my door in my room. The height was 74 inches and the length was 35 inches so to find the area you would multiply 74 by 35

Answers

Answer:

Partially correct!!

Step-by-step explanation:

To find the area, you only need to multiply LENGTH x WIDTH. So, you did it correctly.

Not the height and the length. You wouldn't need the height to calculate area! Good try though! If you're still stuck next time you measure a door, look up how to calculate area if you are ever stuck.

. In a soccer league, each of the n participating teams plays every other team twice during the season. If in the next season the league increases the number of teams by two, then there would be 27.5% more matches played. Find

Answers

The number of teams and matches in the soccer league illustrates permutation and combination

There are 12 teams in the soccer league in the first season

How to determine the number of teams

The number of teams in the soccer league is given as n.

So, the total number of matches played in a season is:

Matches = n(n-1)/2

When the number of teams increases by 2, we have:

Matches = (n + 2)(n + 2 -1)/2

Also, the number of matches increases by 27.5%.

So, we have:

Matches = n(n-1)/2 * (1 + 27.5%)

Equate both equations

[tex]\frac{(n + 2)(n + 2 -1)}{2} = \frac{n(n-1)}{2} * (1 + 27.5\%)[/tex]

Simplify

[tex]\frac{(n + 2)(n + 1)}{2} = \frac{n(n-1)}{2} * (1.275)[/tex]

Multiply through by 2

[tex](n + 2)(n + 1) = n(n-1) * (1.275)[/tex]

Expand

[tex]n^2 + 3n + 2 = 1.275n^2 - 1.275[/tex]

Collect like terms

[tex]n^2 -1.275n^2+ 3n + 2 +1.275 = 0[/tex]

Evaluate the like terms

[tex]-0.275n^2+ 3n + 3.275 = 0[/tex]

Using a graphing calculator, we have:

n = -1 or n = 11.909

n cannot be negative.

So, we have:

n = 11.909

Approximate

n = 12

Hence, there are 12 teams in the soccer league in the first season

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Which property is used in the problem below?

2(x+4) = 2x + 8
the associative property
the commutative property
the distributive property
the additive identity property

Answers

Answer:

Distributive Property

Step-by-step explanation:

2(x+4) = 2x + 8

2x + 2(4) = 2x + 8

2x + 8 = 2x + 8

Henceforth, distributive property

Answer: The Distributive Property

Step-by-step explanation:

Select all of the following statements that are TRUE
Group of answer choices

-When you graph an inequality, the arrow always goes to the left.

-The equal sign bar under the inequality symbol means you user a closed circle.

-When you subtract a number on both sides of an inequality, you must flip the inequality sign.

-When you graph an inequality, you need to look at the inequality to determine if the arrow goes left or right.

-When you graph an inequality, the arrow always goes to the right.

-The equal sign bar under the inequality symbol means you user an open circle.

-When you divide by a negative number on both sides of an inequality, you must flip the inequality sign.

Answers

Answer:

True statements

The equal sign bar under the inequality symbol means you use a closed circle.When you graph an inequality, you need to look at the inequality to determine if the arrow goes left or right.When you divide by a negative number on both sides of an inequality, you must flip the inequality sign.

Additional information

Closed circle: ≤ or ≥

Open circle: < or >

The weights of the fish in a certain lake are normally distributed with a mean of 10.1 lb and a standard deviation of 2.9 lb. If 32 fish are randomly selected, what is the probability that the mean weight will be more than 10.9 lb? Express the answer as a percentage rounded to the nearest hundredth without the % sign.

Answers

Answer: 5.94%

Step-by-step explanation:

Let X be the random variable that represents the weights of the fish.

Given: Weights of the fish in a certain lake are normally distributed with a mean of 10.1 lb ([tex]\mu[/tex]) and a standard deviation of 2.9 lb ([tex]\sigma[/tex]).

sample size : n= 32

The probability that the mean weight will be more than 10.9 lb:

[tex]P(\overline{X}>10.9)=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}>\dfrac{10.9-10.1}{\dfrac{2.9}{\sqrt{32}}})\\\\=P(Z>1.56)\\\\=1-P(Z<1.56)\\\\=1- 0.9406\ \ [\text{By p-value table}]\\\\=0.0594=5.94\%[/tex]

Hence, the required probability = 5.94%.

WILL MARK BRANIEST FOR GOOD ANSWER AND FOR ANSWERING IT RIGHT
THE QUESTION IS ATTACHED BELOW

Answers

Answer:

The answer is C beacause it is 20 times greater than the other numbers

Does anyone know this?

Answers

Area = 3.14 * (12 miles)² = 452.16 miles²

the measure of an angle is 44 more than the measure of its supplement. Find the measure of the angle.

Answers

i think it would be nice if it was ok if you would never stop and get the mone how this helps

I need help fast. Its 8th grade math, multiple choice question. (I added photos)

Answers

Answer:

C (5.1 + 2y + 1.2 = -2 + 2y + 8.3)

What is the image of the point (8,-6) after a rotation of 180° counterclockwise
about the origin?

Answers

Answer:

(-8,6)

Step-by-step explanation:

rotating 180 degrees: x and y coordinates change signs

After rotating the point(8, -6) 180 counterclockwise it will become (-8,6).

What are the coordinates of a point?

A point's coordinates are a pair of integers that pinpoint where it is precisely on a two-dimensional plane. Remember that the x and y axes are two axes that are at right angles to one another and make up the coordinate plane. A particular point's coordinates show how far along each axis it is situated.

Given a point (8,-6) after rotating it counterclockwise 180°. A' is formed when our point A(x,y) rotates 180 degrees counterclockwise around the origin (-x,-y). As a consequence, we just make both x and y negative.

Therefore new coordinates of the point will be (-8,6). For better understanding, I am attaching two graphs.

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Round answer to 1 decimal place.

68.8888888...

Answers

Answer:

68.9

Step-by-step explanation:

When rounding to 1 decimal place look at the 2nd decimal. If it is 5 or larger than you round the 1st decimal up by 1, however if it is 4 or lower you leave it.

A sprinkler line uses 1 in. diameter pipe. How much water could 2,000 in. of pipe hold?

Answers

Answer:

Im not sure but we are learning this in my school and the answer would be 1570.8 and rounded would be 1571

Step-by-step explanation:

Hope this helps

After a shopping spree at Target, John realized he spent three times more money than his brother Mike. They spent a total of $160. If you choose x to represent the
amount of money that Mike spent, what choice below would represent the amount of money that John spent?

Answers

Answer:

John spent around $53

Step-by-step explanation:

The equation is 3x=160

Since the "x" is already by itself on one side, divide 160 by 3

160÷3=53.333⇒

Now if that's not the way IT CAN ALSO BE:

30x3+70=160! That means John spent $90

where are vertices A located?

Answers

Answer:

(3, 4) works, but there are other correct answers.

Step-by-step explanation:

We are given 2 vertices of a right triangle.

There is an infinite number of points that can be the third vertex and form a right triangle. There is not enough information to answer with a unique point.

One answer is point (3, 4) making <A the right angle of the triangle.

1. The stem and leaf plot gives the agesof the last 15 presidents when they were inaugurated Table 1: Key:3j5 = 35 Stem Leaf 4 3 6 7 5 1 2 4 4 5 6 6 0 1 2 4 9 7 0

Answers

l don’t know this question sorry

what is an equation of the line that passes through the points (-4, -3) (7, 8)

Answers

Answer:

y = x + 1

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 4, - 3 ) and (x₂, y₂ ) = (7, 8 )

m = [tex]\frac{8-(-3)}{7-(-4)}[/tex] = [tex]\frac{8+3}{7+4}[/tex] = [tex]\frac{11}{11}[/tex] = 1 , then

y = x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (7, 8 ) , then

8 = 7 + c ⇒ c = 8 - 7 = 1

y = x + 1 ← equation of line

What goes in blank????

Answers

The flat angle is 180 degree(30+angle1)
therefore, angle 1=180-30=150 degree

. Rectangle DEFG with vertices D(61), E(8,0),
F(5.-6), and G(3-5); (x, y)(x-11, y + 4)

Answers

Answer:

D(-5,5), E(-3,4), F(-6,0), G(-8,1)

Step-by-step explanation:

You need to subtract 11 from x, (which is the first number in the parenthesis) because the rule is (x-11, y+4) and add 4 to y.

I really hope this helps!

The value represents the is D(-5,5), E(-3,4), F(-6,0), G(-8,1) (-8,1) . A rectangle is a quadrilateral with four right angles in the Euclidean plane.

What is meant by rectangle?

A rectangle is a quadrilateral with four right angles in the Euclidean plane. A parallelogram with a right angle or an equiangular quadrilateral, where equiangular means that all of its angles are equal, are other ways to describe it. A rectangle with four equally length sides is a square.

An enclosed 2-D shape called a rectangle has four sides, four corners, and four right angles (90°). A rectangle has equal and parallel opposite sides. A rectangle has two dimensions—length and width—because it is a two-dimensional form.

Given,

vertices D(61), E(8,0),

F(5.-6), and G(3-5); (x, y)(x-11, y + 4)

Because the rule is (x-11, y+4), you must subtract 11 from x, which is the first number in the parenthesis, and then add 4 to y.

D(-5,5), E(-3,4), F(-6,0), G(-8,1) (-8,1)

Therefore D(-5,5), E(-3,4), F(-6,0), G(-8,1) (-8,1) is the value represents the rectangle.

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Veronique found the difference of a number and 8. Which expression models the situation? n minus 8 StartFraction 8 Over n EndFraction StartFraction n Over 8 EndFraction 8 minus n

Answers

Answer:

Veronique found the difference of a number and 8.

Which expression models the situation?

n-8

8/n

n/8

8 - n

Step-by-step explanation:

A:(n-8) is correct

Answer:

N-8

Step-by-step explanation:

I just finished the quiz

Gabriel is shipping a package of golf balls to his father for his birthday present. Each golf ball weighs 1.6 oz and the package he is shipping them in weighs 15 oz . The function f(x)=1.6x+15 represents this problem situation . In this function , what does the x represent

Answers

Answer:

x represents the number of golf balls in the package

Step-by-step explanation:

Given that the function is f(x)=1.6x+15,

we can see that the function corresponds to the equation of a straight line

that y=mx+c

now comparing this function with the equation of a straight line

f(x)=1.6x+15

y=mx+c

we can see that

x represents the number of golf balls in the package

15 is constant c which is the weight of the package used in the shipping

Hannah competes
in a 10 km run.
She completes
the race in
2 hours.
What was her
average speed?

Answers

Answer:

5 km/h

Step-by-step explanation:

Speed is the ratio of distance to time. Hannah's speed is ...

s = d/t

s = (10 km)/(2 h) = 5 km/h

Her average speed was 5 km per hour.

lily has some chocolate with a mass of 220g. she eats 30g of the chocolate.
find the percentage of the chocolate she has not eaten

Answers

The percentage of the chocolate she has not eaten is 86.4%

How to find percentage

Total mass of chocolate = 220gMass eaten = 30g

Mass not eaten = Total mass of chocolate - Mass eaten

= 220 - 30

= 190g

Percentage not eaten = 190/220 × 100

= 0.86363636363636 × 100

= 86.3636363636363%

Approximately,

86.4%

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If a function is defined by the equation y=12x−32, which equation defines the inverse of this function?

A. y=2x+3
B. y=2x+32
C. y=2x−3
D. y=2x−32

Answers

Answer:

A. Y=2x+3

Step-by-step explanation:

because im right

If a function is defined by the equation y = 2x−32, the equation that defines the inverse of this function would be: B. y=2x+32

How to determine the inverse

To determine the inverse of the function, we would first replace x with y in the function:

y = 2x - 32

x = 2y - 32

x + 32 = 2y

Divide both sides by 2

x/2 + 32/2 = y

f−1(x) = x/2 + 32/2

The common facot between the denominatoes of the values is 2. So, when expanded, we have;

(x + 32)/2

So, the closest option that represents the inverse is B. y=2x+32.

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Brainliest Given for the following;
→ No Copy
→ Explanation
a sample representative of the entire population is an
[A] Biased sample
[B] unbiased sample
[C] convenience sample
[D] free sample

Answers

Answer:

[C] convenience sample

Step-by-step explanation:

[C] Convenience sample because where the sample is taken from a group of people easy to contact or to reach. Thus, a sample representative of the entire population is an Convenience

[RevyBreeze]

Answer:

convenience sample

Step-by-step explanation:

[A] Biased sample

[B] unbiased sample

[C] convenience sample