Simplifica
(3x +5) (x -8)

Answer:

C. No, more than one output value x is assigned to the input y-value

Step-by-step explanation:

Given

х      у

-3    -2

3     6

0      7

1       7

2      4

3     - 1

Required

State if the table shows x as a function of y

x being a function of y means

[tex]x = f(y)[/tex]

i.e. x represents the output while y represents the input of the function

Note that each value of y (input) must be assigned to separate values of x (output) for a function to be established

Having said;

Next step: We have to examine the x and y column

In the y column, the value 7 occurred twice (as shown below)

х      у

0      7

1       7

This implies that;

Input 7 gives output of 0 and 1.

Hence, this is not a function.

Option C answers the question.

Answer/Step-by-step explanation:

1. Converting 16 in to cm:

1 in = 2.54 cm

16 in = 16*2.54 = 40.64 cm

2. Converting 345lbs to kg:

1 lbs = 0.4536 kg

345 lbs = 345*0.4536 = 156.492 ≈ 156.49 kg(nearest hundredth)

3. Converting 56 g to oz:

1 g = 0.0353 oz

56 g = 56*0.0353 = 1.9768 ≈ 1.98 oz (nearest hundredth)

4. Converting 450 km to mi:

1 km = 0.6214 mi

450 km = 450*0.6214 = 279.63 mi

5. Converting 1200 ml to fl oz

1 ml = 0.0338 fl oz

1200 ml = 1200*0.0338 = 40.56 fl oz

6. Converting 40 m to ft:

1 m = 3.2808 ft

40 m = 40*3.2808 = 131.23 ft (nearest hundredth)

7. Converting 4 gal to l:

1 gal = 3.785 l

4 gal = 4*3.785 = 15.14 l

8. Converting 12 fl oz to ml:

1 fl oz = 29.575 ml

12 fl oz = 12*29.575 = 354.9 ml

9. Converting 50kg to lbs:

1 kg = 2.2046 lbs

50kg = 50*2.2046 = 110.23 lbs

4 minutes to walk there, 5 minutes to walk back, 4+5 = 9 minutes total walking time. Add this onto the 1 minute to get the copier set up and we have 9+1 = 10 minutes so far.

The copier can print 38 pages per minute. There are 836 copies, so 836/38 = 22 minutes is needed to print out all the pages.

So we have 22+10 = 32 minutes in total so far. Add on the last 5 minute stretch (going from the math department to your 2PM class) to get to 37 minutes. You'll need 37 minutes total.

You didn't provide a starting time, but we can subtract 37 minutes from 2PM to get

02:00 - 00:37 = 01:23

Meaning that if you left the math department at 1:37 PM, then you'd do all those tasks to get to your next class at 2 PM exactly, assuming no other things happen. So it's best to leave before 1:37 PM

Answer:

Step-by-step explanation:

To have Distance proportional to time, the person or object must keep a steady or constant rate like speed.

Let's first look at A runner sprinting in the 100 meter dash, since it tells you nothing about time it goes to not enough information.

Now look at An airplane starting at the end of the runway and taking off, it tells you nothing about time so, not enough information.

Now on to A marathon runner jogging at a constant speed for 45 minutes, this is distance proportional to time, because the runner has a constant rate.

The graph is distance proportional to time because, a straight slanted line indicates a constant speed. If it were curved it would not be constant.

The table with the number is distance not proportional to time because if you find the slopes of (25-5)/(10-5) and (50-25)/(15-10), they are 4 and 5 respectively which means there will not be a straight line on the graph.

Lastly, an airplane traveling at a constant speed across the country is distance directly proportional to time because it has a constant rate which is speed.

Answer:

x=6 is the answer

Step-by-step explanation:

4x-3=2x+9

adding 3 on both sides

4x-3+3=2x+9+3

4x=2x+12

subtracting 2x on both sides

4x-2x=2x-2x+12

2x=12

dividing 2 on both sides

2x/2=12/2

x=6 is the answer.

hope it will help you :)

Step-by-step explanation:

4x - 3 = 2x + 9

Bringing like terms on one side

4x - 2x = 9 + 3

2x = 12

x = 12/ 2

x = 6

Answer:

[tex]P(a\ or\ b) = 0.65[/tex]

Step-by-step explanation:

Given

P(a) = 0.60

P(b) = 0.20

P(a and b) = 0.15

Required

Determine P(a or b)

In probability;

[tex]P(a\ and\ b) = P(a) + P(b) - P(a\ or\ b)[/tex]

Substitute values for P(a and b), P(a) and P(b)

[tex]0.15 = 0.60 + 0.20 - P(a\ or\ b)[/tex]

Collect Like Terms

[tex]P(a\ or\ b) = 0.60 + 0.20 - 0.15[/tex]

[tex]P(a\ or\ b) = 0.65[/tex]

Hence, option B answers the question

Answer

0.65

Step-by-step explanation:

apeeex

Answer:

Step-by-step explanation:

step one:

In this problem we are  expected  to substitute the value of d in the expression for velocity given as

[tex]s=24d[/tex]

step two:

Given that

d= 117 ft

Substituting the value for d in the given equation we have

[tex]s= 24*117\\\\s=2808 ft/s[/tex]

The problem basically tests our ability to perform basic substitution operation which we have performed, should you have any question or doubt, kindly respond to this question

Answer:

53

Step-by-step explanation:

Answer:

0.0189

Step-by-step explanation:

We solve for this using Newton's Law of cooling.

The formula for Newton's Law of cooling =

T −Ts = (To−Ts)e^-kt

T = Temperature after cooling

To = Initial temperature

Ts = Room temperature

k = constant

t = time = 2 mins

(200 - 70) = (205 - 70)e^-2k

130 = 135e^-2t

e^-2k= 130/135

k = In(130/135)/-2

k = 0.018870164

Approximately to 4 decimal places = 0.0189

Therefore, the value of k = 0.0189

Answer:

Step-by-step explanation:

[tex] \sf{ - 5x - 10 = 2 - 2(x - 4)}[/tex]

Distribute 2 through the parentheses

⇒[tex] \sf{ - 5x - 10 = 2 - 2x + 8}[/tex]

Move constant to right hand side and change it's sign

Similarly , Move variable to left hand side and change it's sign

⇒[tex] \sf{ - 5x + 2x = 2 + 8 + 10}[/tex]

Collect like terms

⇒[tex] \sf{ - 3x = 2 + 8 + 10}[/tex]

Add the numbers

⇒[tex] \sf{ - 3x = 20}[/tex]

Divide both sides of the equation by -3

⇒[tex] \sf{ \frac{ - 3x}{ - 3} = \frac{20}{ - 3} }[/tex]

Calculate

⇒[tex] \sf{x = - 6.67}[/tex]

Hope I helped !

best regards!!

Answer:

A) 1000 different selections

B) probability of winning = 0.001

C) Net profit on winning = $257.20

D) E(y) = -0. 89165

E) Option B - The Pick 4 game is a better bet because it has a larger expected value.

Step-by-step explanation:

A) For the different selections possible, since each of the digits from 0 - 9 can take a total of 10 digits, then the different selections possible will be = 10³ = 1000 different selections

B) To find the probability of winning, since only one pick can be a winning one. Thus probability of winning = 1/1000 = 0.001

C) Net profit on winning = Amount won - Amount staked

Amount won = ​$258.35

Amount staked = ​$1.15

Thus;

Net profit on winning = ​$258.35 - ​$1.15

Net profit on winning = $257.20

D) If we call the net profit "y", then Expected value is:

E(y) = 257.2(0.001) - 1.15(1 - 0.001)

E(y) = 0.2572 - 1.14885

E(y) = -0. 89165

E) We are told that:If you bet $ 1.15 in a certain​ state's Pick 4​ game, the expected value is negative −$0.89

The expected value of -0.89 in pick 4 is better than that in pick 3 because it's larger.

Answer:

14

Step-by-step explanation:

7x-1+6x-1=180

13x-2=180

13x=180+2

13x=182

x=14

Answer:

D) set the width of the compass to equal AP

Step-by-step explanation:

Correct answer option is D)

Answer options:

Answer and Step-by-step explanation:

p= probability of straight stitching = 89.4% = 89.4/100= 0.894

n = the total sample of randomly selected baseballs

x = quantity of baseballs that have straight stitching = 5

x follows a binomial distribution

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

= 7C5 * 0.894⁵ * (1-0.894)⁷⁻⁵

= 21 * 0.571 * 0.011236

= 0.1347

= 13.47%

the probability is only 13.47% therefore the company has to stop the production line

Answer:

[tex] \boxed{\sf 15x^2 + 2} [/tex]

Step-by-step explanation:

Simplify the expression:

[tex] \sf \implies(10 {x}^{2} - 1 + 4x) + (3 + 5 {x}^{2} - 4x)[/tex]

Grouping like terms, 10x² + 5x² + 4 x - 4 x - 1 + 3 = (10 x² + 5x²) + (4 x - 4 x) + (-1 + 3):

[tex] \sf \implies (10 x^2 + 5 x^2) + (4 x - 4 x) + (-1 + 3)[/tex]

10x² + 5x² = 15x²:

[tex] \sf \implies 15 x^2 + (4 x - 4 x) + (-1 + 3)[/tex]

3 - 1 = 2:

[tex] \sf \implies 15 x^2 + (4 x - 4 x) + 2[/tex]

4 x - 4 x = 0:

[tex] \sf \implies 15 x^2 + 2[/tex]

Answer:

A

Step-by-step explanation:

Image A shows a rotation.  B is a translation.  C is a reflection.

Answer:

1). Option (H)

2). Option (C)

3). Option (C)

4). Option (G)

5). Option (E)

Step-by-step explanation:

(1). Integers are the ''whole numbers''.

  Therefore, negative integer will be a whole number with negative notation =(-8).

  Option (H) will be the answer.

(2). "Numbers that can not be written as a fraction are irrational numbers"

   Option (C). √7

(3). "Whole numbers are the basic counting numbers starting from 0"

  Option (C). 0

(4). A rational number is a number that can be written as a fraction(in the form of [tex]\frac{p}{q}[/tex].

  Option (G). [tex]\frac{3}{4}[/tex]

(5). "All positive integers are the natural numbers."

  Option (E). 12

Answer:

A. [tex]\frac{82}{3}[/tex]

Step-by-step explanation:

Step 1: We know .3333... is [tex]\frac{1}{3}[/tex], we rewrite the equation as  [tex]\frac{1}{3}[/tex]

[tex]27\frac{1}{3}\\ \frac{1+(27)(3)}{3}\\\frac{1+81}{3}\\\frac{82}{3}\\[/tex]

Therefore the answer would be A. [tex]\frac{82}{3}[/tex]

Answer:

A. 82/3

Step-by-step explanation:

[tex]3\overline{|\smallspace82}\space\space\space\space\\\mathrm{Divide}\:8\:\mathrm{by}\:3\:\mathrm{to\:get}\:2\\\begin{matrix}\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\space\space\\ 3\overline{|\smallspace82}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}\\[/tex]

[tex]\begin{matrix}\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\space\space\\ 3\overline{|\smallspace82}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace6}\space\space\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}\\\mathrm{Multiply\:the\:quotient\:digit}\:\left(2\right)\:\mathrm{by\:the\:divisor}\:3\\[/tex]

[tex]\begin{matrix}\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\space\space\\ 3\overline{|\smallspace82}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace6}\space\space\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}\\\mathrm{Subtract}\:6\:\mathrm{from}\:8\\[/tex]

[tex]\begin{matrix}\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\space\space\\ 3\overline{|\smallspace82}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace6}\space\space\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}\\[/tex]

[tex]\mathrm{Bring\:down\:the\:next\:number\:of\:the\:dividend}\\[/tex]

[tex]\begin{matrix}\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\space\space\\ 3\overline{|\smallspace82}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace6}\space\space\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\emptyspace2\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}[/tex]

Divide 22 by 3 to get 7

[tex]\begin{matrix}\space\space\space\space\emptyspace2\emptyspace7\space\space\space\space\space\space\space\space\space\space\space\space\\ 3\overline{|\smallspace82}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace6}\space\space\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\emptyspace2\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}[/tex]

Multiply  the quotient digit 7 by the divisor

and sbtract 21 from 22=1

= 27 remainder 1

Answer: 6 m is greater

Step-by-step explanation:

Cm is less than m

Hope it helps

Answer:

25. <

26. <

27. >

28. <

29. <

30. >

Hope it helps!

lovelymoonlight ✨

Step-by-step explanation:

[tex] {7}^{1} = 7 \times 1 \\ = 7[/tex]

Answer:

Step-by-step explanation:

Hello, any irrational number multiplied by 4 is an irrational number.

For instance, you can take

[tex]\boxed{\sqrt{2}}[/tex]

Thank you

Answer:

a. 24

b. 12

Step-by-step explanation:

a. You can choose from 4 cities for the first performance, then from 3 cities, then from 2 cities, then the last city.

4 * 3 * 2 * 1 = 24

b. Think of the three performances in California as a unit. Within this unit, you can choose from 3 cities for the first one, then 2 cities for the second one, and finally 1 city for the last one.

3 * 2 * 1 = 6

Now you can have the 3 California performances first, followed by Denver, or Denver first followed by California.

6 * 2 = 12

Answer:

E

Step-by-step explanation:

So we already know that:

[tex]\lim_{x \to 5} f(x)=2 \text{ and } \lim_{x \to 5} g(x)=-6[/tex]

So, go through each of the choices and see which ones are correct.

I)

We have:

[tex]\lim_{x \to 5} (f(x)+g(x))[/tex]

This is the same as saying:

[tex]\lim_{x \to 5} f(x)+ \lim_{x \to 5} g(x)[/tex]

And since we already know the values:

[tex]=(2)+(-6)\\=-4[/tex]

So, the limit does indeed exist.

II)

We have:

[tex]\lim_{x \to 5} \frac{f(x)}{g(x)+6}[/tex]

This is the same as:

[tex]\frac{ \lim_{x \to 5} f(x)}{ \lim_{x \to 5} g(x)+ \lim_{x \to 5} 6 }[/tex]

The bottom right one is just 6. Simplify:

[tex]\frac{ \lim_{x \to 5} f(x)}{ \lim_{x \to 5} g(x)+6}[/tex]

Substitute the values we know:

[tex]=\frac{(2)}{(-6)+6} \\=2/0[/tex]

This is a value over zero. Unlike the indeterminate form 0/0, this limit does not exist.

III)

We have:

[tex]\lim_{x \to 5} \frac{f(x)-2}{g(x)}[/tex]

Again, this is the same as:

[tex]\frac{ (\lim_{x \to 5} f(x))-2}{ \lim_{x \to 5} g(x)}[/tex]

Substitute in the values we know:

[tex]=\frac{(2)-2}{(-6)}\\ =0/-6=0[/tex]

The limit does exist and it is 0.

So, the limits of only I and III exist.

The correct answer is E.

Answer:

Sales Tax

Step-by-step explanation:

Answer:

The  value is  [tex]Z_{\alpha } = 1.439[/tex]

Step-by-step explanation:

From the question we are told that

   The  confidence level is  C  =  85%  

Generally the level of significance is mathematically represented as

         [tex]\alpha = (100 - 85 )\%[/tex]

        [tex]\alpha = 0.15[/tex]

Now from the normal distribution table  the critical value  of [tex]\alpha[/tex] is  

     [tex]Z_{\alpha } = 1.439[/tex]

Answer:

Hey there!

You have 50 dollars left.

400+250-500-100=50

Let me know if this helps :)

Answer:

The smaller addend is subtracted from the bigger addend

Step-by-step explanation:

Represent the two numbers with a and b such that a > b

So, the mathematical representation will be

[tex]+a + (-b)[/tex]

Open the bracket

[tex]+a -b[/tex]

This implies that the smaller addend (b) is subtracted from the bigger addend (b)

Take for instance; a = 6 and b = 4

This gives

[tex]+6 + (-4)[/tex]

Open the bracket

[tex]= +6 - 4[/tex]

[tex]= 2[/tex]

Answer:

the length of TU is 6......

The numeric length of TU for the given line segment will be 3 units.

A line section that can connect two places is referred to as a segment.

In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

Given a line segment SU in between a point T

Now,

SU = ST + TU

5x = 4x - 3 + 2x

5x = 6x - 3

6x - 5x = 3

x = 3

Now,

TU = 2x = 2(3) = 6 units.

Hence "The numeric length of TU for the given line segment will be 3 units".

For more about line segment,

https://brainly.com/question/25727583

#SPJ2

========================================

Explanation:

To name an angle, we list 3 points on the angle such that the middle point is the vertex of the angle. The vertex is where the two rays are joined (at the endpoints).

So we could say "angle JLG" as you wrote in the first box, or we could say "angle GLJ". This is the same because L is in the middle each time. So the order doesn't matter as long as L is in the middle.

The third way to name this angle is to say "angle 2" or [tex]\angle 2[/tex] for short.

Another way to write this angle is to name it by the vertex point alone.

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

Note: In this case, saying "angle L" is enough info to be able to pinpoint the proper angle. Though in general this naming convention is very limited. If we had other rays attached to point L (say ray LH where point H is not on any of the two rays shown), then writing "angle L" is ambiguous. So keep this in mind.

Hello, if [tex]x_1[/tex] and [tex]x_2[/tex] are two zeroes, we can write

[tex]x^2-17x+30=(x-x_1)(x-x_2)=x^2-(x_1+x_2)x+x_1\cdot x_2[/tex]

It means that the coefficients in x must be equal, meaning

[tex]x_1+x_2=17=2+15[/tex]

and the constant terms must be equal, meaning

[tex]x_1\cdot x_2=30 = 2 * 15[/tex]

So the zeroes are 2 and 15.

[tex]x^2-17x+30=x^2-15x-2x+30\\\\=x(x-15)-2(x-15)\\\\\boxed{=(x-2)(x-15)}[/tex]

Thank you

Answer:

y=1/2x+0 m=1/2 b=0

Step-by-step explanation:

You first need to find the slope of this line, the equation for this is.

(y2-y1)/(x2-x1)

In this case it is (3-1)/6-2)

This simplifies to 1/2.

This graph also does not have a +b as when you graph y=1/2x, it already passes through the 2 points shown.