how to find (a) and (b)?​

Answer:

x ≠ 5

Step-by-step explanation:

Assuming you mean f(x) = (1/(2x-10))+3

Please be careful with how ambigiuous your question can appear with the / sign.

The domain is the set of values that can be used as an input.

In this case the only input we have that could cause problem is if the denominator of the fraction is 0, because then we divide by 0 which is not allowed.

This gives us 2x-10 ≠ 0

2x ≠ 10

x ≠ 5

The domain of the function is given by the inequality ( 1/2 )x - 10 ≥ 0 and the value of x ≥ 20

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input.

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = [ √ ( 1/2 )x - 10 ] + 3

Now , the expression (1/2)x - 10 inside the square root must be greater than or equal to 0, as the square root of a negative number is not defined in the real number system.

(1/2)x - 10 ≥ 0

To solve this inequality, we can isolate x:

(1/2)x ≥ 10

x ≥ 20

Hence , the domain of the function f(x) is x ≥ 20.

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The complete question is attached below :

If f(x)= 1/2x-10+3, which inequality can be used to find the domain of f(x)?

Answer:

I don't think so.

Step-by-step explanation: I think he just wanted us not to take advantage of earth and treat earth like a living creature

Answer:

2×5×7²

Step-by-step explanation:

You will start by using the factor tree.

490

^

2 245

^

5 49

^

7 7

Answer:

0.056

Step-by-step explanation:

I used my calculator, not much work to show :)

Answer:

The answer for 0.7 x 0.08 is 0.056.

Explantion:

I am smart like that.

I am built different.

Answer:

A.) the number of fencers that do not use the foil as their main weapon

B.) X : 0, 1, 2, 3,..., 21

C.) X ~ p(X) ; 21 ~ 0.4

D.) 21 ~ 0.4

E.) 0.0895

F.) Yes. The probability of all 21 fencers not using the foil as their main weapon is small (less than 1%)

Step-by-step explanation:

A.) since it is reported that 60% of fencers use the foil as their main weapon ;

The random variable (x) : number of fencers that do not use foil as their main weapon ;

( 100% - 60%) = (1 - 0.6) = 0.4

B.) values that X may take on :

Sample size = 21 ;

X : 0, 1, 2,..., 21

The distribution of X

X ~ B ; X ~ p(X) ; 21 ~ 0.4

Part (d) How many fencers are expected to not use the foil as their main weapon?

X * p(x)

21 * 0.4

= 8.4

= 8 (nearest whole number)

Part (e) Find the probability that eleven do not use the foil as their main weapon.

P(x = 11)

Using the binomial probability relation :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

P(x = 11) = 21C11 * 0.4^11 * 0.6^10

P(x = 11) = 0.0895

Part (f) Based on numerical values, would you be surprised if all 21 did not use foil as their main weapon?

P(x = 21) = 21C21 * 0.4^21 * 0.6^0

P(x = 21) = < 0.00001 ( approximately 0)

Hence, based on this very low value which is almost equal to 0 ; it will be surprising if all 21 do not use foil as their main weapon

Answer:

Using the "slope-intercept" form of the line's equation (y = mx + b), you solve for b (which is the y-intercept you're looking for). Substitute the known slope for m, and substitute the known point's coordinates for x and y, respectively, in the slope-intercept equation.

Step-by-step explanation:

goog

Answer:

117

Step-by-step explanation:

science

Answer:

117 pounds

Step-by-step explanation:169 pounds divided by 65 pounds is 2.6

So that means that we would need to multiply 45 by 2.6. So 45 multiplied by 2.6 is 117 pounds.

Answer:

500 hope this helps

Step-by-step explanation:

Answer:

Estimated glomerular filtration rate is the best test to measure ... stage of kidney disease and helps the doctor plan your treatment. If ... If your GFR number is low, your kidneys are not working as well as ... 20–29, 116.

Step-by-step explanation:

you have to study

Answer:

answer is C

Step-by-step explanation:

midpoint = ((x¹ + x²)÷2 , (y² +y²)÷2)

example:

((-4+2)÷2 , (-15+-1)÷2)

= ((-2÷2) , (-16÷2))

=(-1 , -8)

Answer:

diagonal = = 12.8 inches (to the nearest tenth of an inch)

Step-by-step explanation:

As shown in the diagram attached to this solution:

Let the Length of the rectangular board = a

Let the width = b

Let the diagonal = d

where:

a = 10 inches

b = 8 inches

d = ?

Triangle ABC in the diagram is a right-angled triangle, therefore, applying Pythagoras theorem:

(hypotenuse)² = (Adjacent)² + (Opposite)²

d² = 10² + 8²

d² = 100 + 64

d² = 164

∴ d = √(164)

d = 12.806 inches

d = 12.8 inches (to the nearest tenth of an inch)

N:B Rounding off to the nearest tenth of an inch is the same as rounding off to 1 decimal place.

Answer:

70°

Step-by-step explanation:

80° - x + 80° = 90° { being complementary angles }

160° - x = 90°

x = 180° - 90°

x = 70°

Hope it will help :)

Answer:

1/10 chances or 5/50.....

your laptop is useless if you don't have braon

Answer: -5 is equal to x

Step-by-step explanation:

This is since you just make y = 0 to solve, so

0=x+5

= -5=x

Answer:

x=-8 and y=2 / x=-5 and x=5

Step-by-step explanation:

put x as 0 to find y

y=1÷4x+2

y=1÷4×0+2

y=0+2

y=2

put y as 0 to find x

y=1÷4x+2

0=1÷4x+2

-2+0=1÷4x

-2=1÷4x

1÷4x=-2

1x=-2×4

x=-8

y=x+5

0=x+5

x=-5

y=0+5

y=5

Answer:

2x + 6

Step-by-step explanation:

distribution

plz mark branliest

Answer:

substitute the y equation to the other equation.

6x - 4(4) = 29

6x - 16 = 29

6x = 29 + 16

6x = 45

x = 15/2

Answer:

pp

Step-by-step explanation:

Answer:

0.271 = 27.1% probability that at least one will have a defect

Step-by-step explanation:

For each item, there are only two possible outcomes. Either they have a defect, or they do not. Items are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

A manufacturing machine has a 10% defect rate.

This means that [tex]p = 0.1[/tex]

3 items are chosen at random

This means that [tex]n = 3[/tex]

What is the probability that at least one will have a defect?

This is

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{3,0}.(0.1)^{0}.(0.9)^{3} = 0.729[/tex]

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.729 = 0.271[/tex]

0.271 = 27.1% probability that at least one will have a defect

Answer:

10 5/8

Step-by-step explanation:

9 3/4 + 7/8 = 9 6/8+7/8=

10 5/8

The distance jumped by Chris in total would be as follows:

[tex]10\frac{5}{8}[/tex]

Distance is denoted as the space that one covers from a particular place to the other.

Given that,

The distance jumped by Mark [tex]= 9\frac{3}{4}[/tex] feet

The distance jumped by Chris [tex]= \frac{7}{8} + 9\frac{3}{4}[/tex]

So,

The total distance covered by Chris would be:

[tex]= \frac{7}{8} + 9\frac{3}{4}[/tex]

[tex]= \frac{7}{8} + \frac{39}{4}[/tex]

[tex]=[/tex] [tex]\frac{(7 + 78)}{8}[/tex]

 [tex]= \frac{85}{8}[/tex]

[tex]=[/tex] [tex]10\frac{5}{8}[/tex]

Thus, [tex]10\frac{5}{8}[/tex] is the correct answer.

Learn more about "Fraction" here:

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Answer:

D

Step-by-step explanation:

It must first translate 1 unit to the left because quadrilateral F'G'H'I is one unit away from to y axis. It can then translate across the y-axis.

Answer:

ITS B!

Step-by-step explanation:

Ape x!

Answer:

2x+3x2 +x3 −5

Step-by-step explanation:

Hope this helps

Answer:

x^2 - 2x + 2

step-step explanation:

Answer:

For what I can’t see the page or equation?

Step-by-step explanation:

Answer:

24:5

Step-by-step explanation:

4 yards is 3 feet, so 4*3=12. There are 12 inches in a foot, so 12*12=144. 144:30= 72:15 = 24:5

Answer:

I think the answer is 2

x=1

Step-by-step explanation:

2x=2x

divide

x=1

plug it in

1×2

Answer:

3 over 12

Step-by-step explanation:

3 over 12

Answer: 3/12

Step-by-step explanation:

Answer:

1) 6

2) 8/125

3) 5

4) 4/5

Step-by-step explanation:

1) 2x2x2x2x2x2 = 64     then  2^6 = 64

2) (2/5)^3 =8/125

3) 3x(3^4) = 3^5

4) sq rt 16/25 = 4/5

Answer:

The answer is depending on how long he us going to rent the car. If Spencer wants to rent the car for less than 150 days, the Porsche is cheaper for that. However, if Spencer wants to rent a car for more than 150 days, the Tesla is the cheaper option.

Step-by-step explanation:

You can write both Deals in slope inter form.

Tesla: y = 25x+75

Porsche: y=50x

Remember: slope inter form is y = mb + b

"mx" being the change in y over the change in 1 or (y1-y2/x1-x2)

"b" in the formula represents the y-axis