Expand and simplify (x - 7)(x + 4)

Answer:

x ≥ 5

Step-by-step explanation:

[tex]\sf 4x+3\ge \:23[/tex]

subtract 3 from both sides

[tex]\sf 4x+3-3\ge \:23-3[/tex]

simplify

[tex]\sf 4x\ge \:20[/tex]

divide both sides by 5

[tex]\sf \dfrac{4x}{4}\ge \dfrac{20}{4}[/tex]

simplify

[tex]\sf x\ge \:5[/tex]

Answer:

x ≥ 5

Step-by-step explanation:

To simplify the given inequality, we need to isolate the variable "x".

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Step-1: Subtract 3 both sides

4x + 3 ≥ 23

⇒ 4x + 3 - 3 ≥ 23 - 3

⇒ 4x ≥ 23 - 3

⇒ 4x ≥ 20

Step-2: Divide 4 both sides

⇒ 4x ≥ 20

⇒ 4x/4 ≥ 20/4

⇒ x ≥ 5

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

(Note: The solution of the book you provided in your question is incorrect. Seek below for proof)

*answer is x is greater than or equal to 3.​*

Substituting 3 in the inequality:

4x + 3 ≥ 23

4(3) + 3 ≥ 23

12 + 3 ≥ 23

15 ≥ 23  (False)

answer:

127.2345in²

explanation:

attached

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Answer:

The one to the upper right, with a triangle on opposite ends of both sides. It looks like the one in the photo I included.

Step-by-step explanation:

I hope this helps! Have a lovely day!! :)

Answer:

15 shrimps

Step-by-step explanation:

We already know that a small shrimp taco has 5 shrimps.

⇒ [tex]\text{1st equation: small shrimp taco = 5 shrimps}[/tex]

We also know that a large taco has 3 times more shrimps than a small taco.

⇒ [tex]\text{2nd equation: shrimps in a large taco = 3(Shrimps in a small taco)}[/tex]

Finding the number of shrimps in a large taco:

Now, simply substitute the number of shrimps in a small shrimp taco in the second equation to find the number of shrimps in a large taco.

Answer:

15 shrimp

Step-by-step explanation:

5 shrimp * 3 = 15shrimp

Answer:

45

Step-by-step explanation:

Calculate the least common multiple LCM(9; 5)

LCM(9; 5) = 45

Find additional factors for each fraction, for this divide LCM by the denominators of each fraction:

45 : 9 = 5 (factor of 1 fraction)

45 : 5 = 9 (factor of 2 fraction)

We multiply the numerator and denominator of each fraction by an additional factor of this fraction:

6/9=6/9 ⋅ 5/5=30/45

1/5=1/9 ⋅ 9/9=9/45

Result

6/9=30/45

1/5=9/45

Hope this Helps!

Step-by-step explanation:

the full question please

Answer:

isosceles triangle is shown in fig

Answer:

D) 64

Step-by-step explanation:

(10 x 12) - (8 x7) = 120-56 = 64

answer: 64 square cm

Answer: negative 1 over 2

− 1/2

=negative 0.5−0.5

Reason why:

Step 1 of 2: Add.

Add

(negative 2 over 3 − 2/3) + 1 over 6

1/6

= negative 3 over 6 −3/6

Simplify

negative 3 over 6−

3

6

= negative 1 over 2−

1/2

Step 2 of 2: Simplify, sub-step a: Reduce fraction to lowest terms.

Reduce fraction to lowest terms

negative 3 over 6 −3/6

= −( 3 ÷ 3 ) over ( 6 ÷ 3 )

3 ÷ 3 6 ÷ 3 = negative 1 over 2 −1/2

The system of equation that models the problem is as follows;

x + y = 83

1.73x + 1.44y = 130.83

The number of fruit pies sold is 44 and the number of fruit juice sold is 39.

Mr Sanchez class sold fruit pies for $1.73 each and Mr Kelly's class sold bottles of fruit juice for $1.44 each.

Therefore,

let

x = number of fruit pies sold

y = number of fruit juice sold

Together, the class sold 83 items. Therefore,

x + y = 83

They sold a total of $130.83. Therefore,

1.73x + 1.44y = 130.83

x + y = 83

1.73x + 1.44y = 130.83

1.73x + 1.73x = 143.59

1.73x + 1.44y = 130.83

0.29x = 12.76

x = 12.76 / 0.29

x = 44

Therefore,

y = 83 - 44

y = 39

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Answer:

blank1: 00110001 00111001 00110010

blank 2: 00110001 00110110 00111000

blank 3:00110001

blank 4:00110101

Answer:

about 11

Step-by-step explanation:

Answer:

option b I guess

Step-by-step explanation:

D=c/s³ would be the answer

Answer:

13 pints

Step-by-step explanation:

6 1/2 (6.50) quarts is equal to 13 pints

Answer:

13pt

to go from quarts to pints multiply the value by 2

Answer:

shorter than, shorter than, will not

Step-by-step explanation:

First, we can find out the diagonal of the base of the box using Pythagoras' theory - a² + b² = c²

32² + 8² = 1088

c = √1088 = 32.984845

This means that the diagonal of the base of the box is shorter than the bat (32.984845 is less than 34)

Next, we can work out the interior diagonal, again using Pythagoras' theory - a² + b² = c²

32.984845² + 6² = 1124

c = √1124 = 33.52610923

This means that the length of the interior diagonal of the box is shorter than the bat (33.52610923 is less than 34)

Therefore, Julian's bat will not fit in the box.

Hope this helps!

The internal rate of return of this investment is 8%.

If the hurdle rate is 7%, the investment should be invested in.

Internal rate of return is a capital budgeting method that determines the the discount rate that equates the after-tax cash flows from an investment to the amount invested

If the internal rate of return is greater than the hurdle rate, the investment should be undertaken. If this is not the case, the investment should not be invested in.

IRR can be calculated with a financial calculator

Cash flow in year 0 =  $-29,480

Cash flow each year from year 1 to 4 = 8900

IRR = 8%

To learn more about IRR, please check: https://brainly.com/question/26484024

Answer:

Step-by-step explanation:

The pressure of a gas tank is 234. 24 atm at 295K. What is the gas pressure if the temperature

The pressure of a gas tank is 234. 24 atm at 295K. What is the gas pressure if the temperature is raised to 333K. P1/T1=P2/T2

Answer:

Step-by-step explanation:

Angle sum property of triangle: Sum of all angles of triangle is 180

∠P + ∠Q + ∠R = 180

10x - 4  +4x - 22 + x +11 = 180

10x + 4x + x - 4 - 22 + 11 = 180

Combine like terms,

              15x  - 15 = 180

Add 15 to both sides

                     15x = 180 + 15

                     15x = 195

Divide both sides by 15

                         x = 195/15

x = 13

∠P = 10x - 4

     = 10*13 - 4

      = 130 -4

∠p = 126°

Answer:

Blue wins

Step-by-step explanation:

Blue runner   4280 ft / 10 ft/sec = 428 sec to finish

Red                5280 / 12 =    440 sec     Blue will win

Answer:

Given that f(x) contains the discrete points of{(0, 3), (1, 4), (2, 0), (3, 1), (4, 2)}, the value of (f of)(0) is5.

Answer: 28.6

Step-by-step explanation:

To round 28.6 to the nearest tenth consider the hundredths’ value of 28.6, which is 0 and equal or more than 5. Therefore, the tenths value of 28.6 increases by 1 to 7.28.6 rounded to the nearest tenth = 28.6 hope that helps

Answer:

2000 metres

Step-by-step explanation:

1000 metres = 1 km

therefore, (1000×2) metres = 2 km

2000 metres = 2km

Answer:

[tex]{x}^{3} + 2x ^{2} - 6x + 45[/tex]

Step-by-step explanation:

sorry I didn't write it out...

Answer:

it's not fair

Step-by-step explanation:

... if Rebecca rolled the dice it's most likely going to give a 6 or a higher number if Blake rolled the same too would have happened thus it would be fair if the dice was 3 sided

Rebecca and Blake decide to roll a pair of fair 6-sided dice to determine who has to clean their dishes. If the sum is 5 or 6, then Rebecca will clean the dishes. If the sum is 8 or 9, then Blake will clean the dishes. If the sum is anything else, they'll roll again. This is a fair method of decision making by law of probability because both Rebecca and Blake are equally likely to wash the dishes.

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.

Total number of observations in sample space when a pair of dice is rolled = 6² = 36

Number of observations where sum is 5 or 6 = 9

((1,4)(4,1)(2,3)(3,2)(1,5)(5,1)(4,2)(2,4)(3,3))

Probability that Rebecca will clean the dishes = 9/36 = 0.25

Number of observations where sum is 8 or 9 = 9

((2,6)(6,2)(3,5)(5,3)(4,4)(3,6)(6,3)(4,5)(5,4))

Probability that Blake will clean the dishes = 9/36 = 0.25

Since, the probabilities of Rebecca and Blake cleaning the dishes are equal, the method of decision making is fair.

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Answer:

the last one I think. number 4

Answer: The last one

Step-by-step explanation:

It's not required by law

You have to pay $2000 on your own

It can definitely be over $500

It's a yearly amount

Answer:

black and white should do right?

There are 20 ways to choose 2 colors without replacement, considering the order of choices as relevant, from the 5 colors: red, blue, green, purple, and yellow.

If the order of choices is relevant, it means we are dealing with permutations.

To calculate the number of ways to choose 2 colors from 5 colors without replacement and with order being relevant, we use the concept of permutations.

The number of permutations of choosing r items from n distinct items is given by the formula:

P(n, r) = n! / (n - r)!

where "n!" denotes the factorial of n, which is the product of all positive integers from 1 to n.

We want to choose 2 colors from 5 colors, so n = 5 (total colors) and r = 2 (colors to be chosen).

P(5, 2) = 5! / (5 - 2)!

= 5! / 3!

= (5 × 4 × 3 × 2 × 1) / (3 × 2 × 1)

= 120 / 6

= 20

Therefore, there are 20 different ways to choose 2 colors from the 5 colors (red, blue, green, purple, and yellow) without replacement and with the order being relevant.

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Complete question:

suppose we want to choose 2 colors, without replacement, from the 5 colors red, blue, green, purple, and yellow.

How many ways this can be done, if the order of choices is relevent

Answer:

[tex]41\frac{1}{8}[/tex]

Now

LSA:-

Answer:

Multiply 20%, or 1/5, times 200 to get about 40 students.

Step-by-step explanation:

You fill in the rounded numbers you got already, like the 19% to 20%, and the 205 to 200. You substitute the information into the blanks to get the answer.

I hope this helps and please mark me as brainliest!