factor the trinomial x^2 - 16x +63

Answers

Answer 1

Factor the following:
x^2 - 16 x + 63
The factors of 63 that sum to -16 are -7 and -9. So, x^2 - 16 x + 63 = (x - 7) (x - 9):
Answer: (x - 7) (x - 9)

Related Questions

Gloria collected 28 fantail and comet goldfish. there were 4 fewer fantails than comets. how many comets did gloria have?

Answers

Total=28
fantail (f)=comets (c)-4
comets=c

Fantails + comets =28
c-4 +c=28
2c-4=28
2c-4+4=28+4
2c=32
2/2c=32/2
c=16

What is the total amount of interest with 12,560 dollar stocks borrowed 2% simple interest for 4 years?

Answers

The formula is
I=prt
I interest earned?
P principle 12560
R interest rate 0.02
T time 4 years
I=12,560×0.02×4
I=1,004.8

Hope it helps!

Which equation represents a line that passes through two points in the table

Answers

c. y - 3 = 2/3(x-3)

Nothing much to do here except examine each equation and plug in the numbers to see if it's true.

a. y + 3 = 3/2(x+3)
Try 3,3
3 + 3 = 3/2(3+3)
6 = 3/2(6). And no need to go further, it's obviously not equal.

b. y - 3 = 3/2(x-3)
Try 3,3
3 - 3 = 3/2(3-3)
0 = 3/2(0). OK. Let's try 6,5
5 - 3 = 3/2(6-3)
2 = 3/2(3)
2 = 9/2 And it's not true, so check the next one.

c. y - 3 = 2/3(x-3)
Try 3,3
3 - 3 = 2/3(3-3)
0 = 0. Check 6,5
5 - 3 = 2/3(6-3)
2 = 2/3(3)
2 = 2. Good. Both sample points work. This is the correct answer.
Just to be sure, let's check the next option

d. y + 3 = 2/3(x+3)
Try 3,3
3 + 3 = 2/3(3+3)
6 = 2/3(6). And doesn't match.

Answer: C

Step-by-step explanation: A P E X

What is the formula for the sum of interior angles of a regular polygon?

Answers

Sum of Interior Angles = (Number of Sides -2) • 180 degrees

PLEASE ANSWER IMMEDIATELY

Given the function f(x) = x^2 - 9, classify the polynomial.
A. monomial
B. trinomial
C. binomial

Answers

binomial because it is the difference of two terms.

Hope this helps!! Let me know if you have ANY questions

there are 2 terms

Binomial

What is the inverse to this statement? Statement : If you feel hungry then you eat.
A. if you don't eat, then you don't feel good
B. if you feel hungry,then you don't eat.
C. If you eat, then you feel hungry
D. If you don't feel hungry, then you don't eat.

Answers

I believe the answer is D.Because if you feel hungry then you'll eat, but if your not hungry then you won't want to eat. Hope I helped!

Answer:

D.Because if you feel hungry then you'll eat, but if your not hungry then you won't want to eat. Hope I helped!

Step-by-step explanation:

Which is the range and interquartile range for the data represented by the box-and-whisker plot?

Answers

the range will be the difference of ur whiskers....lol...that sounds funny...the highest number minus the lowest number....39 - 18 = 21

the interquartile range (IQR) will be the difference of Q3 and Q1.....Q3 is the end of the box and Q1 is the beginning of the box....so ur IQR is gonna be 35 - 21 = 14

Jonah has collected 91 coins worth $7.20 in his piggy bank. his collection includes only dimes and nickels. how many dimes are there in jonah's piggy bank?

Answers

There are 53 dimes in Jonahs piggy bank. You must use algebra to solve for a variable X as follows: x.10+(91-X).05=7.2 Solving through will yield X =53 which means 91 - 53 = 38. 53*.10 + 38*.05 = $7.20. Other methods will also work, but this is the most straight forward.

Juan's income y consists of at least $37,500 salary plus 5% commission on all of his sales x. which inequality represents juan's income in one year? answer

Answers

Answer: 3 + 4 + 4 + 2s = 172121391827 f + r + f + d+ = +_+_+_71230973210123 f - 4 = 9 s - 222 = 9009 r + 555 = 1231212312123

Answer:

y < 37,500 + 5x I believe.

The equation e=1200+11t represents your elevation e in feet for each minute t you hike from a trailhead. If you graphed this equation, what would the slope represent?

Answers

The slope would represent 1200 not sure though y= mx + b

What is the opposite of -a

Answers

i think it is +a but not to sure

the opposite of a negative is a positive

so opposite of - a would be positive a

Be independent uniform random variables on [0, 1], and let u(n) be the maximum find the cdf of u(n) and a standardized u(n), and show that the cdf of the standardized variable tends to a limiting value.

Answers

What’s your answer choice

Final answer:

The cumulative distribution function (CDF) of u(n), when u(n) is the maximum of n independent uniformly-distributed random variables, is given by x^n. After standardization, as n approaches infinity, the CDF of the standardized variable converges to a standard normal distribution, as per the central limit theorem.

Explanation:

The subject matter relates to the field of statistics, specifically dealing with the concept of uniform distribution and standard normal distribution.

Let's denote the random variables as X1, X2, ..., Xn and they are uniformly distributed over [0, 1].Given that u(n) is the maximum of these random variables, the cumulative distribution function (CDF) of u(n) can be calculated as follows:

P(u(n) < x) = P(X1 < x, X2 < x, ..., Xn < x) = P(X1 < x) * P(X2 < x) * ... * P(Xn < x) = x^n

Given that Z = (u(n) - μ) / σ where μ is the mean and σ is the standard deviation. For the uniform distribution, μ = 0.5 and σ = √ (b - a)² / 12 = √1 / 12. Therefore, the standardized random variable Z can be calculated.

By the central limit theorem, as n increases, the standardized variable tends to a limiting value. Which means as n -> ∞ , the cumulative distribution function of Z = 1, the standardized variable converts to a standard normal distribution, and it poses bell-shaped curve form.

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You flip a coin 5 times. in how many ways could u obtain at least one tail

Answers

Let's first think about how many possible outcomes there are to a series of coin flips. One that will help us here is that coin flips are independent - the outcome of one flip has no effect on the outcome of the others. What this means is that there are two possible outcomes for each flip: heads or tails. For an example with fewer coins, let's say we were flipping 2 instead of five.

- Flip 1 can either be heads or tails
- Flip 2 can either be heads or tails

So our possible outcomes are HH, HT, TH, and TT. There are two possible second flips for each of the possible first flips, or 2 x 2 = 4 total combinations of flips. Notice that only one of those combinations has zero tails - the combination with all heads.

If we were to flip a coin 5 times, we'd have two possible fifth flips for each of the two possible fourth flips for each of the two possible third flips for... it gets pretty hairy to describe in words, but I've attached a diagram so you can see how quickly it grows out of control. There are 2 x 2 x 2 x 2 x 2 or [tex]2^5=32[/tex] possible combinations of heads and tails! But, in fact, we don't even need to sort through these 32 combinations to answer our question. Every combination will contain at least one tail, except one: the combination which contains all heads (HHHHH). Which means the rest of the 31 must contain at least one tail.

This fact will stay the same regardless of the number of coin flips you make: the number of ways that contain at least one tail will always be the total number of combinations minus one (the case where all of the flips are heads).

If an asset declines in value from $5000 to $3500 over nine years, what is the mean annual growth rate in the asset's value over these nine years? Round your answer to two decimal places.

Answers

Mean annual growth rate in the asset’s value over the nine years is -3.8856%.

Given that an asset declines in value from $5000 to 3500 over the nine years.

To determine the mean growth rate over some period of time, compute the geometric mean of the growth factors. A growth factor less than one indicate negative growth.

The formula for the geometric mean over n periods is given by

[tex]y_n =\sqrt[n]{ {y_1 \times y_2 \times y_3 \times ......\times y_n}}[/tex]

Suppose an asset declined over nine years.

[tex]3500 = 5000\times({y_1 \times y_2\times y_3 \times ..\times y_9})[/tex]

[tex]{y_1 \times y_2\times y_3 \times ..\times y_9} = 3500/5000\\\ y_1 \times y_2\times y_3 \times ..\times y_9} = 0.7[/tex]

Then, the mean annual growth factor over these nine years is,

[tex]y_9 = \sqrt[9]{0.7}[/tex]

= 0.961144

Compute the mean annual growth rate in the asset’s value.

= (0.961144 - 1) 100%

= -3.8856%

Therefore, the mean annual growth rate in the asset’s value is -3.8856%.

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Final answer:

To find the mean annual growth rate of an asset declining from $5000 to $3500 over 9 years, you calculate the growth rate 'r' using the formula P(t) = P0 * e^(rt). The result is about -5.13%, indicating a depreciation in the asset's value.

Explanation:

To calculate the mean annual growth rate for an asset that declines in value, we can use the formula for the annual growth rate, which is P(t) = P0 * e(rt), where:

P(t) is the future value of the asset.P0 is the initial value of the asset.e is the base of the natural logarithm.r is the growth rate.t is the time in years.

In this case, the value of the asset declines from $5000 to $3500 over 9 years. Therefore, we have:

P0 = $5000P(t) = $3500t = 9 years

First, we need to solve for r in the equation:

3500 = 5000 * e(9r)

By dividing both sides by 5000 and taking the natural logarithm, we get:

ln(3500/5000) = ln(e(9r))

ln(0.7) = 9r

r = ln(0.7)/9

Substitute the value of ln(0.7) and divide by 9:

r = -0.0512932942

Since the result is negative, it indicates a decline, and the annual growth rate is about -5.13%, reflecting a decrease in value.

A car travels 90 miles in 1.5 hours. How many miles will it travel in 5 hours if its speed remains the same? A) 60 miles B) 180 miles Eliminate C) 222 miles D) 300 miles
HURRY I NEED THE ANSWER.

Answers

It's D, the car travels 300 miles.

The answer is D) 300 miles

Hope this helps girl!!

Javier bought a microwave for $150. The cost was 30% off the original price, what was the original price

Answers

$150 / 30% or $150 / 0.30 (they are the same thing)

Your answer is $500

Hope this helps!

1) Divide using synthetic division, and write a summary statement in fraction form.
two x to the fifth minus x to the fourth plus three x squared minus x plus five divided by quantity x minus one

a. 2x4 + x3 + 4x2 + 3x + eight divided by quantity x minus one
b. 2x4 + x3 - x2 + 2x + 1 + six divided by quantity x minus one
c. 2x4 + x3 + x2 + 4x + 3 + eight divided by quantity x minus one
d. 2x4 - 3x3 + x + six divided by quantity x minus one

2) Divide f(x) by d(x), and write a summary statement in the form indicated.
f(x) = x4 - 4x3 + 2x2 - 4x + 1; d(x) = x2 + 1

a. f(x) = (x2 + 1)( x2 + 4x + 1)
b. f(x) = (x2 + 1)( x2 - 4x + 1) + 12x + 3
c. f(x) = (x2 + 1)( x2 + 4x + 1) + 12x + 3
d. f(x) = (x2 + 1)( x2 - 4x + 1)

3) Find the remainder when f(x) is divided by (x - k).
f(x) = 3x3 - 4x2 - 3x + 14; k= 3

a. 50
b. 68
c. -12
d. 112

4) Use synthetic division to determine whether the number k is an upper or lower bound (as specified) for the real zeros of the function f.
k = -1; f(x) = 4x3 - 2x2 + 2x + 4; Lower bound?

a. yes
b. no

5) Use the Rational Zeros Theorem to write a list of all possible rational zeros of the function.
f(x) = -2x4 + 4x3 + 3x2 + 18

Answers

Question 1:

Refer to the first picture below
The synthetic division works by writing the coefficient only of the polynomials in question in order of the degree of the polynomials.
Our polynomial expression is given: 2x⁵ - x⁴ + 3x² - x + 5
The coefficient in order are 2, -1, 3, 0, -1, 5
The value '0' in the list is for the polynomial x²

Then divide these coefficients by 1 ⇒ you get this value by x - 1 = 0, x = 1
The rest of the step is explained in the picture.
We have an answer [tex]2x^+x^3+x^2+4x+3+ \frac{8}{x+1} [/tex] ⇒ The last term in fraction form is the remainder

Answer: Option C

----------------------------------------------------------------------------------------------------------------

Question 2

We can use the usual way of Algebraic division as shown in picture 2 below
We have no remainder, so the answer to the question is given in the form of factors ⇒ (x² + 1)(x² - 4x + 1)

Answer: Option D
-----------------------------------------------------------------------------------------------------------------

Question 3

We are given the remainder to be k = 3 when we divide f(x) by (x - k)
So, f(3) = 3(3)³ - 4(3)² - 3(3) + 14 = 50

Answer: Option A

-------------------------------------------------------------------------------------------------------------

Question 4

k is upper bound when f(x) is divided by (x - k) where k > 0 using the synthetic division and the answer gives all positive numbers

k is lower bound when f(x) is divided by (x - k) where k < 0 using the synthetic division and the answer gives an alternating sign

Refer to picture 3 below, the values of the answer have alternating signs (+) then (-) then (+) then (-) again. This means k = -1 is a lower bound

Answer: YES
--------------------------------------------------------------------------------------------------------------

Question 5

Focus on the coefficient of the leading term which is -2x⁴ and the last term, 18.

Factors of -2 is 1, -1, 2, -2 ⇒ Let's call this group as 'p'
Factors of 18 is 1, -1, 2, -2, 3, -3, 6, -6, 9, -9, 18, -18 ⇒ This is group 'q'

Possible values for p ÷ q are
1, -1, 0.5, -0.5, 2, -2, 1.5, -1.5, 6, -6, 3, -3, 9, -9, 4.5, -4.5, 18, -18 ⇒ These are the list for possible roots.

V(t)=t2−3t what is the meaning of the quantity v(4) ?

Answers

v(4)=4²-3×4=16-12=4 is the result of substituting t=4 in the function.

1. ABCD is a trapezoid with midsegment EF. If AB = 12 and CD = 24, what is the length of EF?

2. ABCD is a trapezoid with midsegment EF. If AB = 21 and CD = 35, what is the length of EF?

3. ABCD is a trapezoid with midsegment EF. If AB = 7 and EF = 9, what is the length of CD?

4. ABCD is a trapezoid with midsegment EF. If CD = 32 and EF = 22, what is the length of AB?

5. The length of the midsegment of a trapezoid is the _____ of the length of the two bases.

PLEASE HELP ME, SERIOUS ANSWERS ONLY PLEASE

Answers

For all of these answers, the equation used was (AB + CD)/2 = EF

1.12+24=36 36/2=18
2. 21 + 35 = 56 56/2 = 28
3. (7 + EF)/2 = 9
multiply by 2
7 + EF = 18
subtract 7
EF = 11

4. (AB + 32)/2 = 22
Multiply by 2
AB + 32 = 44
Subract 32
AB = 12

5. Average

Answer:

Step-by-step explanation:

Which shows the best path to find the number of centimeters in 1 yard?

Answers

To find the number of centimeters in 1 yard, convert yards to feet, then feet to inches, and finally, inches to centimeters. 1 yard is equal to 91.44 centimeters after applying the conversion factors 1 yard = 3 feet, 1 foot = 12 inches, and 1 inch = 2.54 centimeters.

To find the number of centimeters in 1 yard, we need to follow a two-step conversion process. First, we convert yards to feet, knowing that 1 yard equals 3 feet. Then, we convert feet to inches, since we know that 1 foot equals 12 inches. Finally, we convert inches to centimeters, using the conversion factor that 1 inch is equivalent to 2.54 centimeters.

So the path would look like this:

Convert yards to feet: 1 yard = 3 feet.

Convert feet to inches: 1 foot = 12 inches.

Convert inches to centimeters: 1 inch = 2.54 centimeters.

Applying these conversions to 1 yard:

1 yard * 3 feet/yard = 3 feet

3 feet * 12 inches/foot = 36 inches

36 inches * 2.54 centimeters/inch = 91.44 centimeters

Therefore, 1 yard is equivalent to 91.44 centimeters.

What is the product in simplest form?

−8/9 ⋅ 5/6

Answers

You get -40/54 when you multiply, then you simplify and get -20/27, which is the answer.

the answer to the question is -20/27

Subtract (4x − 3y) from the sum of (12x + 9y) and (−2y).

Answers

first step sum means addition so (12x+9y) +(-2y) = 12x +7y

second step subtract (4x -3y) from (12x+7y)

need to use the distributive property:

12x +7y - 4x - -3y =

12x + 7y - 4x +3y

combine like terms

8x+10y

Answer has been edited.

Answer:

Subtract (4x − 3y) from the sum of (12x + 9y) and (−2y) is 8x + 10y .

Step-by-step explanation:

As given the expression

(12x + 9y) , (-2y) and (4x − 3y) .

First add the expression (12x + 9y) and (-2y) .

= (12x + 9y) - (2y)

First open the bracket

= 12x + 9y - 2y

= 12x + 7y

Now subtracted (4x − 3y) from 12x + 7y .

= 12x + 7y - (4x - 3y)

= 12x - 4x + 7y + 3y

= 8x + 10y

Therefore the Subtract (4x − 3y) from the sum of (12x + 9y) and (−2y) is 8x + 10y .

evaluate the expression 6+[(-24)÷6]/19

Answers

The order of operations is defined by the acronym PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction).
Therefore
6 + [(-24) ÷ 6] / 19
= 6 + [ -24/6 ] / 19 handle parentheses first
= 6 + (-4) /19
= 6 - 4/19 handle division
= 110/19
= 5 5/9

Answer:
[tex] \frac{110}{19} \,\, or \,\, 5 \, \frac{5}{19} \,\, or \,\, 5.79[/tex]

PLEASE HELP

What is the equation of the line in slope-intercept form?

Answers

Slope formula first:

(3-0)/(0+5)

3/5 slope

y intercept of 3

y=3/5x+3

What is the square root of 500 divided by 2 x pi?

Answers

It would be 35.124, or just 35.12

35.124, so rounded it is just 35.124

There are 16 apples in a basket. 9 of these apples are green. the rest of them are red. (a) what is the ratio of all apples in the basket to red apples? (b) what is the ratio of red apples to green apples?

Answers

16:7
because you have 16 total and 9 green so you have to see how many red apples there are by adding 9 to whatever number that gets you to sixteen

(sorry i didn't explain it better i had a bad day and didn't care about what i was saying but still wanted to help :/)

The ratio of (a) the ratio of all apples in the basket to red apples = 16/7 and (b) the ratio of red apples to green apples = 7/9

What is ratio?

The numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.

Given:

There are 16 apples in a basket.

9 of these apples are green.

The rest of them are red.

So,

(a) To find the ratio of all apples in the basket to red apples,

Number of apples / number of red apples

= 16/9

(b) To find the ratio of red apples to green apples,

The number of green apples = 16 - 9 = 7

Number of red apples / number of green apples

= 7/9

Therefore, the ratio (a) 16/9 and (b) 7/9

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Rochelle is riding a bicycle whose wheels are 26 inches in diameter

Answers

what is the entire question

Help me!!!!!!!!!!!!!

Answers

I will be using a practice problem with different endpoints, and I challenge you to solve this one using a similar strategy. The points I will be using is
(1, 3) as T and (5, 4) as the midpoint

Alright - we know that the equation for the midpoint of a line segment is
[tex]( \frac{ x_{1} + x_{2} }{2} , \frac{ y_{1} + y_{2} }{2} )[/tex]
Next, we plug the x values in - since the midpoint's x value is 5 and one endpoint's x value is 1, we have
[tex] \frac{1+x_2}{2} =5[/tex] .
Next, we multiply both sides by 2, resulting in 1+x₂=10. Lastly, we subtract 1 from both sides, meaning that x₂, or the x value of the other endpoint, is 9. For the y values, we use a similar process -
[tex] \frac{3+y_2}{2} =4[/tex] .
since 3 is the y value of one endpoint and 4 is the y value of the midpoint. Multiplying both sides by 2, we get 3+y₂=8. Subtracting 3 from both sides, we get y₂=5 and our coordinates for the other endpoint to be (9, 5).

Good luck, and feel free to ask any questions as necessary!

Tim have 46 chocolate bars he eats 34.what does time have now.

A.12
B.8
C.diabetes
D.none of these

Answers

Tim have 46 chocolate bars. He eats 34

46 - 34 = 12

Your numerical (or legit) answer is a.12
your answer for the 'joke' is c. diabetes.

hope this helps

The hypotenuse of a 45°-45°-90° triangle measures 18 cm.

What is the length of one leg of the triangle?

9 cm
cm
18 cm
cm

Answers

Since this is a 45-45-90 right triangle, the legs and hypotenuse have the relationship of: x, x, xsqrt(2) with x and x being the lengths of the legs and xsqrt(2) being the length of the hypotenuse.

As the hypotenuse measures 18 cm we would set xsqrt(2) equal to 18 and solve for x

xsqrt(2) = 18

x = 18 / sqrt(2)

x is approximately 12.73

which is not one of your answer choices, so I am assuming that either the question is not correct (my guess is the hypotenuse is actually 18sqrt(2) ), or the answer choices are not correct.

One way or the other, something is messed up here.

If the hypotenuse is in fact 18sqrt(2), then the legs will each be 18 in length.

Double check and get back to me if needed....

Answer:

9√2

Step-by-step explanation:

18=x√2

18/12=x

√2(18/√2)=x

18√2/2=x

9√2=x

Other Questions

How did pharaoh Khufu proclaim his glory? The first rulers of Egypt were often buried in an underground tomb topped by mud brick. Later kings wanted more permanent monuments. They built small brick or stone pyramids over their tombs. A Pyramid is a structure shaped like a triangle with 4 sides that meet at a point. About 2630 B.C, King Djoser built a Much larger pyramid called a step pyramid has sides that rise in a series of giant steps. About 80 years later, a pharaoh named Khufu ordered workers to construct the largest pyramid ever built. It was made from 2.3 million blocks of stone. He wanted a monument that would show the world how great he was. Building the pyramid was hard work. Farmers did the heavy labor of hauling stones during the season when the Nile flooded their fields. Skilled stone cutters and overseers worked year round. The Great Pyramid took nearly 20 years to build. About 20,000 Egyptians worked on it. In time, Egyptians stopped building pyramids because the pyramids attracted robbers. Grave robbers broke into tombs to steal treasures buried with the pharaohs. Sometimes they also steal the mummies. Egyptians believed that if a tomb was robbed, the person buried there could not have a happy afterlife. During the New Kingdom, pharaohs bulit more secret tombs in the valley of the Kings. They hoped to protect their bodies and treasures from robbers. Although pharaohs tried hard to hide their tombs, robbers stole treasures from almost every tomb. Only one tomb bulit for New Kingdom pharaoh was ever found with much of its treasure untouched. under line the answer. The question is Why did Khufu build such a large pyramid? Thesis statement: Although many young people want to leave their family home immediately after high school, the transition can be quite difficult. I. cooking A. How much does it cost? B. How much time/effort does it require? c. how healthy is it II. cleaning a. 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