The inequality x2 – 5x + 3 < 3 can be broken down into two related inequalities. The graphs of these related inequalities are shown on the graph to the left. Which set shows the solution to the inequality?

[tex]\text{Hello there! :)}[/tex]

[tex]x = 8\\\\AB = 128 \text{ units}[/tex]

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[tex]\text{Since Point M is the midpoint of AB, then:}\\\\AM = MB\\\\[/tex]

[tex]\text{Set the two equations equal to each other:}\\\\3x + 40 = x^{2} \\\\[/tex]

[tex]\text{Move all terms over to one side to simplify more easily:}\\\\0 = x^{2} - 3x - 40[/tex]

[tex]\text{Factor by finding numbers that sum up to -3 and multiply into -40:}\\\\0 = (x - 8)(x + 5)\\\\x = -5, 8[/tex]

[tex]\text{The length of a segment cannot be negative, so choose the positive solution:}\\\\x = 8[/tex]

[tex]\text{Substitute in this value of x into either AM or MB to solve for AB:}[/tex]

[tex]AB = 2(MB)\\\\AB = 2(x^{2} )\\\\AB = 2(8^{2})\\ \\AB = 2(64)\\\\AB = 128 \text{ units}[/tex]

Answer:

Step-by-step explanation:

21:00 i believe

Answer:

5

Step-by-step explanation:

Answer:

4/10

Step-by-step explanation:

this is the answer

Answer:

7/8

First Step: 1/2 converts to 4/8

Second Step: Add 4/8 and 3/8

4/8 + 3/8 = 7/8

Answer:

17%

Step-by-step explanation:

I think you maybe have to subtract

Answer:

15%

hope this helps!

Answer:

-.75x-6

Step-by-step explanation:

Step 1: simplify the first equation

1/4(x-28)=2x, or .25x-7=2x.

Step 2: simplify the second equation so that one side equals 2x

13-5x=-7.5x-t. Add 7x to either side to get 13+2x=-.5x-t. Then, subtract 13 from either side and then you have 2x=-.5x-t-13

Step 3: make both equations into one equation

Since 2x=.25x-7, and 2x=-.5x-t-13, then it's safe to say .25x-7=-.5x-t-13.

Step 4: Simplify this final equation

Add .5x to both sides to get .75x-7=-t-13. Then add 13 to both sides to get .75x+6=-t. Then multiply everything by -1 to get -.75x-6=t

Answer:

the answer is -5/6 hope this helps

Answer:

Whatever y is you turn it to what x is plus a negative Ex: T(10, 9) U(0,9) V(0,0) W(10,0) Those are the answers.

Step-by-step explanation:

Did this help???

Answer:

7.83 mm to km

7.83* 10^-6 or 7.83/10^6

0.00000783 km

Answer:

(1) 5x+14

(2)5x+15

(3) x^2 + 7x

(4) 4x+13

(5) x^2 +5x

(6) 6x+16

(7)x^2+4x

Answer:

7 Stickers on Each Poster

Step-by-step explanation:

Max has 14 stickers, and 2 posters. You have to divide 14 by 2. Or, put one sticker in each box until you run out of stickers. Eventually, you'll end up with 7 stickers in each poster.

Answer:

6a+2d+10n+5

Step-by-step explanation:

Answer:

I believe you're trying to simplify if so then the answer is

6 a + 2d + 10n + 5y

if thats not what you're doing lmk what it is you are doing and i will help

Step-by-step explanation:

Answer: 29 for shure

Step-by-step explanation:

I got it on mine

$518.5 = $375 + $41x

Now that we have our equation, let's solve for the # of hours

Subtract $375 from both sides

$143.5 = $41x

Divide both sides by $41

3.5 = x

The number of labor hours was 3.5

Step-by-step explanation:

8a^3 - b^3

= (2a)^3 - b^3

= (2a -b) (4a^2 + 2ab + b^2)

An expression is defined as a set of numbers, variables, and mathematical operations. The given expression 8a³-b³​ can be rewritten in factor form as (2a-b)(4a²+2ab+b²).

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given expression can be rewritten as,

8a³ - b³​

= (2a)³ - b³

It is known that x³-y³​ can also be written as (x-y)(x²+xy+y²). Therefore, the above expression can be written as,

= (2a)³ - b³

= (2a - b)[(2a)² + (2a × b) + b²]

= (2a - b)(4a² + 2ab + b²)

Hence, the given expression 8a³-b³​ can be rewritten in factor form as (2a-b)(4a²+2ab+b²).

Learn more about Expression here:

https://brainly.com/question/13947055

#SPJ2

Answer:

In 7.5 years, you will have $21,665.07 - $15,000 = $6,665.07 Interest

Step-by-step explanation:

Answer:

0.28

Step-by-step explanation:

Answer:

dhsfhb

Step-by-step explanation:

top secret

Answer:

Have a good day, dont see a picture?

Step-by-step explanation:

Answer:

'325 adult tickets' is the ACTUAL answer

Step-by-step explanation:

I am editing this because I made a mistake beforehand

Let's say that x=adult tickets. If we subtract 63 tickets from adult tickets you get the number of children's tickets, so that means x+(x-63)=587. Or,

2x-63=587

Add 63 to both sides to get 2x=650. Divide it all by 2, and you get 325 adult tickets

Answer:

D

Step-by-step explanation:

Perpendicular lines intersect at a 90 degree angle.

Answer:

25.59

Step-by-step explanation:

The first thing that you will do is solve parenthesis (remember PEMDAS).

(32.45-4.8) - 2.06

(27.65) - 2.06

Then do the subtraction.

(27.65) - 2.06=

25.59

Hope this helps!

This question is incomplete, the complete question is;

A basketball player has a 60% accuracy rate for making free throws. During practice, this player fails to make a free throw three times in a row, but is finally successful on the fourth attempt.

p(x=k) = p^k (1-p)^k-1

Using the geometric distribution formula, what is the probability of this player successfully making a free throw on the fourth attempt? Each attempt is independent of each other and answer choices are rounded to the hundredths place.

a.) 0.04

b.) 0.60

c.) 0.40

d.) 0.10

Answer: a.) 0.04

Step-by-step explanation:

Given that;

The basketball player has 60% accuracy of  free throws

Now the probability of the player successfully making a free throw on the fourth attempt.

probability of success p = 0.60

number of failure k = 3

the given p.d.f of geometric distribution p(x=k) = p^k (1-p)^k-1

{ 0 <p<= 1 , k=0,1,2,3... }

we substitute our given data

p(x=3) = 0.60^3 (1-0.6)^3-1

= (0.60)^3 (0.40)^2

= 0.216 * 0.16

= 0.035 = 0.04 ( OPTION A)

Answer:

Cumulative frequency is the running total of the frequencies. On a graph, it can be represented by a cumulative frequency polygon, where straight lines join up the points, or a cumulative frequency curve.

Answer:

Option C.

Step-by-step explanation:

We have the following inequality :

[tex]3d+6<A[/tex] (I)

In which :

[tex]d[/tex] : '' The daily temperature in degrees Fahrenheit ''

[tex]A[/tex] : '' The average temperature for the year ''

We first need to find the solution (the inequality related to the value of [tex]d[/tex]) given that we set [tex]A=54[/tex] °F ⇒

Using the equation (I) :

[tex]3d+6<54\\3d<48\\d<16[/tex]

We find that the ''[tex]d[/tex]'' variable (daily temperature in degrees Fahrenheit) is less than [tex]16[/tex] °F.

The option B and the option D give us an interpretation about the [tex]''A''[/tex] variable.

Only the options A and C give us an interpretion about the [tex]''d''[/tex] variable

Between A and C, the option C is a more accurate option (because 72°F is closer to 16°F).

We answer that the option C best interprets the solution.

Keeping a detailed record of the procedure and results of a scientific experiment

Conducting an experiment to confirm the effects of gravity on Earth

Solving an expression in steps using the order of operations

Answer:

keeping a detailed record of the procedure and results of a scientific experiment

conducting an experiment to confirm the effects of gravity on Earth

solving an expression in steps using the order of operations

Step-by-step explanation: Edu

Answer:

-14

Step-by-step explanation:

The answer is -14 because:

1)  First, we need to know that:

negative x negative = positive

negative x positive = negative

positive x negative = negative

positive x positive = positive

2) -9 - 5 is negative times negative which makes it 9 + 5 = 14

3) Since the number with the negative sign is greater, the answer is -14

Hope this helps!