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Phoenix [80]
2 years ago
5

A function is a relation where each input value is assigned to (1) ___ one output value.the (2) ___ of a function is the set of

all input values, or x-values, for which the function is defined. the (3) ___ of a function is the set of all output values, or y-values, for which the function is defined. to write the equation y = ax + b in function notation, substitute (4) ___ for y. options for 1: a. exactly b. at least c. less than options for 2: a. range b. interval c. domain d. rate of change options for 3: a. range b. rate of change c. interval d. domain options for 4: a. f(x) b. a c. b d. x
Mathematics
1 answer:
Sloan [31]2 years ago
5 0

The blanks can be filed by exactly, domain, range, and, f(x) respectively.

While we've got a feature in formulation form, it also includes a simple count to assess the function. For example, the feature f(x)=5−3x2 f ( x ) = 5 − 3 x 2 can be evaluated with the aid of squaring the enter cost, multiplying by means of three, and then subtracting the product from 5.

You write capabilities with the function name observed by way of the established variable, together with f(x), g(x), or maybe h(t) if the function depends upon time. You read the function f(x) as "f of x" and h(t) as "h of t". functions no longer need to be linear. The feature g(x) = -x^2 -3x + 5 is a nonlinear characteristic.

A user is an actual-valued feature on a vector area, usually of functions. as an example, the electricity practical at the unit disk assigns various to any differentiable feature, For the practical to be non-stop, it's miles necessary for the vector space. of capabilities to have the perfect topology.

Learn more about the function here brainly.com/question/6561461

#SPJ4

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Matter is in a liquid state when its temperature is between its melting point and its boiling point. Suppose that some substance
ANTONII [103]

Answer:

  -35.626 < temperature < 733.928 . . . . degrees F

  (-35.626, 733.928)

Step-by-step explanation:

It is convenient to let a calculator evaluate the expression for converting °C to °F.

  -35.626 < temperature < 733.928 . . . . degrees F

  (-35.626, 733.928) . . . . . . . . . . . . . . . . . in interval notation

_____

The given relation is C = 5/9(F -32). The inverse relation is F = 9/5C +32. That is the relation we need to use to answer this question.

4 0
3 years ago
Could someone help me answer this? <br> Solve -2log8(x + 1) = -8.<br> Thanks so much!
drek231 [11]
Step one, divide both sides by -2
log8(x+1)=4

if the base is 10, and the 8 is together with (x+1): (cannot tell from the way it is written)
8(x+1)=10^4=10000
x+1=1250
x=1249

if the 8 is a base, 
8^4=(x+1)
x+1=4096
x=4095
8 0
3 years ago
A blue whale swims at -26.3 meters. A bald eagle flies at 17.8 meters.
zvonat [6]
A bald eagle. It’s higher and the analogue value, distance away from the ocean is closer to zero, so it’s closer to sea level
6 0
2 years ago
A farmer builds a fence to enclose a rectangular pasture.He uses 160 feet of fence. Find the total area if the pasture is 50 fee
Sergeeva-Olga [200]
2L +2W=160
100+ 2W=160
subtract 100 from each side
2W=60
divide by two each side
W=30 
use the formula L×W=Area or 50×30 which equals 150 the are of the pasture is 150 feet²
3 0
3 years ago
If a student randomly guesses at 20 multiple-choice questions, find the probability that the student gets exactly four correct.
ad-work [718]

Answer:

Probability = 0.190

Step-by-step explanation:

Given:

Number of questions, 'n' = 20

Each question has four choices.

Let event of choosing correct answer be success and its probability be represented by 'p'.

Therefore, event of choosing wrong answer is failure and its probability be represented by 'q'.

Now, probability of success is choosing one correct answer out of 4 options. So, p=\frac{1}{4}=0.25

Now, 'p' and 'q' are complements of each other. Therefore,

q=1-p=1-0.25=0.75

Now, we need 4 successes. Therefore, x=4

Using Bernoulli's theorem to find 'x' successes from 'n' questions, we get:

P(x)=_{x}^{n}\textrm{C}p^xq^{n-x}

Plug in 4 for 'x', 20 for 'n', 0.25 for 'p' and 0.75 for 'q'. Solve.

P(4)=_{4}^{20}\textrm{C}(0.25)^4(0.75)^{20-4}\\P(4)=_{4}^{20}\textrm{C}(0.25)^4(0.75)^{16}\\P(4)=4845\times (0.25)^4\times (0.65)^{16}\\\\P(4)=0.1896\approx0.190

Therefore, the probability of getting 4 correct answers out of 20 questions is 0.190.

6 0
3 years ago
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