1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Valentin [98]
2 years ago
5

one a windy moring a hot air balloon starts ascending and flying away from the too of a hill the alritude h(x) in feet of the ba

lloon x hours after starting its ascent can be modeled by the function h (x)= -16x^2 +56x+96. Of factoring to find the roots what would be the GREATEST common factor to pull out to begin??
Mathematics
1 answer:
makkiz [27]2 years ago
3 0

The greatest common factor of all the coefficients is of 8.

<h3>What is the greatest common factor?</h3>

The greatest common factor between multiple terms is the largest value for which all terms are divisible.

In this problem, the equation is:

h(x) = -16x^2 + 56x + 96

The terms are 16, 56 and 96. Hence, to find the gcf, we have to keep factoring them by prime factors while all can be factored by the same value, hence:

16 - 56 - 96|2

8 - 28 - 48|2

4 - 14 - 24|2

1 - 7 - 12

There are no terms by which both 7 and 12 are divisible, hence the procedure is stopped and:

gcf(16, 56, 96) = 2³ = 8.

You can learn more about the greatest common factor at brainly.com/question/26140769

You might be interested in
Its not that easy!!!!!!!!!!!11
AVprozaik [17]

Answer:

C

Step-by-step explanation:

(3.6xy^5)(2.5x^2y^-2)

9x^3y^3

8 0
3 years ago
Read 2 more answers
Are these numbers rational or irrational? √10 (square root of 10) √16 (square root of 16) 52% 1.235 1. Rational 2. Irrational pl
77julia77 [94]

Step-by-step explanation:

any rational number can be expressed as a/b, with a and b being integer numbers, and b different to 0.

-7 = -7/1 rational

sqrt(10) irrational (because there is no rational number multiplied by itself that results in 10)

sqrt(16) = sqrt(4×4) = 4 = 4/1 rational

52% = 52/100 rational

1.235 = 1235/1000 rational

5 0
2 years ago
Help, and if you can give me a step by step explanation
Llana [10]

Answer:

the first option

Step-by-step explanation:

variability !

what does that word tell us ?

it means that there are more individuals differences.

you could also use "accuracy" as the opposite - we are aiming for the mean value ...

imagine some bow and arrow tournament.

who wins ?

the person with the highest accuracy across all the attempts (and that means the lowest variability in the results across all attempts relatively to the target center representing the predefined mean value).

now look at the graphic for neighborhood A.

and then for neighborhood B.

which one has the data points more clustered around the center (where the mean value is going to be) ? this one has lower variability than the one where the data points are having more than one cluster or are even all over the place.

remember, for the variability you have to add all the differences to the mean value. the smaller the differences to the mean value, the smaller the variability.

in neighborhood B almost all data points have a larger difference to the mean value.

so, the variability will be higher here.

5 0
2 years ago
The line tangent to the graph of g(x) = x^{3}-4x+1 at the point (2, 1) is given by the formula
Usimov [2.4K]

well, about A and D, I just plugged the values on the slope formula of

\bf \begin{array}{llll} g(x)=x^3-4x+1\\ L(x) = 8(x-2)+1 \end{array} \qquad \begin{cases} x_1=1.9\\ x_2=2.1 \end{cases}\implies \cfrac{f(b)-f(a)}{b-a}

for A the values are 8.01 and 8.0, so indeed those "slopes" are close. \textit{\huge \checkmark}

for D the values are -2.25 and 8.0, so no dice on that one.

for B, let's check the y-intercept for g(x), by setting x = 0, we end up g(0) = 0³-4(0)+1, which gives us g(0) = 1.

checking L(x) y-intercept, well, L(x) is in slope-intercept form, thus the +1 sticking out on the far right is the y-intercept, so, dice. \textit{\huge \checkmark}

for C, well, the slope if L(x) is 8, since it's in slope-intercept form, the derivative of g(x) is g'(x) = 3x² - 4, and thus g'(0) = -4, so no dice.

for E, do they intercept at (2,1)?  well, come on now, L(x) is a tangent line to g(x), so that's a must for a tangent. \textit{\huge \checkmark}

for F, we know the slope of the line L(x) is 8, is g'(2) = 8?  let's check

recall that g'(x) = 3x² - 4, so g'(2) = 3(2)² - 4, meaning g'(2) = 8, so, dice. \textit{\huge \checkmark}

6 0
3 years ago
Steps to answer -3(x+4)+15=6-4x
Mariana [72]
  1. distribute| -3x-12+15 = 6-4x
  2. simplify| -3x+3=6-4x
  3. solve by getting X to one side| -3=1x
  4. answer| X=-3
8 0
3 years ago
Other questions:
  • Find the length of the radius of the following circle. x² + y² = 16 4 8 16
    5·2 answers
  • What is 12x - 15 - 3 + 2x - 15 x no graph
    12·1 answer
  • What is the lowest common multiple of 24 and 40
    15·1 answer
  • POINTS 20!!
    11·1 answer
  • What is equal to 20/40?
    15·2 answers
  • Can someone help me with this problem and explain it
    15·2 answers
  • g At noon, ship A is 10 nautical miles due west of ship B. Ship A is sailing west at 17 knots and ship B is sailing north at 25
    5·1 answer
  • PLEASE HELP<br> Which statement correctly explains whether lim g(x)<br> X-3<br> exists?
    6·1 answer
  • For the following two numbers, find two factors of the first number such that their product is the first number and their sum is
    15·1 answer
  • Carly bought one one yard of fabric, convert the<br> measurement to centimeters.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!