Solve for x, then find the measure of the angle given

The expression A² – (B + C) in its simplest form is 8x² – 25x + 7

A polynomial function is an expression constructed with one or more terms of variables with constant exponents.

Data obtained from the question

A = 3x – 4, B = x + 7, C = x² + 2, A² – (B + C) =?

The simplest form of the polynomial is given by;

(3x – 4)² – (x + 7 + x² + 2)

9x² – 12x – 12x + 16 – (x + x² + 9)

9x² – 24x + 16 – x – x² – 9

9x² – x² – 24x – x + 16  – 9

8x² – 25x + 7

Hence, the simplest form of the polynomial is A² – (B + C) = 8x² – 25x + 7.

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Answer: A: 8x^2 - 25x + 7

Step-by-step explanation: got it right :)

Explanation:

The number [tex]\pi[/tex] (read out as "pi") is approximately 3.14

So [tex]3 \times \pi = 3\pi \approx 3*3.14 \approx 9.42[/tex]

On the other hand,

[tex]\sqrt{64} = \sqrt{8^2} = 8[/tex]

So we can see that the original claim is false because [tex]3\times \pi \approx 9.42[/tex] is not smaller than [tex]\sqrt{64} = 8[/tex]. It should be the other way around.

1. (x+2) (3x-1)

2. The zeros are at x = -2 and x = 1/3

Explanation:

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

zeros are when f(x) = 0

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Answer:

6 apples

Step-by-step explanation:

23 apples - 17 oranges

23 - 17

= 6

6 apples more than oranges

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Answer:

4 weeks

Step-by-step explanation:

Answer:

well if i am correct 25 weeks (correct me if i am wrong please lol.)

Step-by-step explanation:

The percentage shows that the value of Jimmy's total minimum credit card payment will be $411.25.

From the complete information, the balances and annual percentage rates for Jimmy's credit cards are given.

Therefore, the minimum amount for the credit card will be $411.25. This will be necessary to pay his credit card debt off in the next 12 months.

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Answer:

LMJ and KJM

Step-by-step explanation:

alternative interior

this means, they're on opposite sides of the line-break, and are inside the parallel lines.

hope this helps.

Answer:

Tom 4/8

Step-by-step explanation:

if you simplify 4/8 it will give u 1/2

Answer:

A monomial is any expression that only contains one term, and terms can only be divided by a plus and a minus sign

So the answer is B and C are not monomials rather they are binomial expressions

Answer: m<CBE = 129°

Step-by-step explanation:

we know that,

m<CBE = (14x + 17)°

m<FEH = (19x -23)°

since L║m,

m<CBE = m<FEH

(14x + 17)° = (19x -23)°

through the above equation we formed, we find the value of x :

14x + 17 = 19x -23

19x - 14x = 17 + 23

5x = 40

x = 40/5

x = 8

now we put the value of x in the m<CBE :

m<CBE = (14x + 17)°

m<CBE = ( 14(8) + 17 )°

m<CBE = ( 112 + 17)°

m<CBE = 129° Answer...

hope that helps...

Answer:

3/2 or 1.5 miles per hour

Step-by-step explanation:

Speed Formula:

[tex]\displaystyle \large{s=\dfrac{d}{t}}[/tex]

speed = distance/time

Given:

Therefore:

[tex]\displaystyle \large{s=\dfrac{\dfrac{1}{4}}{\dfrac{1}{6}}}\\\displaystyle \large{s=\dfrac{1}{4}\cdot 6}\\\displaystyle \large{s=\dfrac{6}{4}}\\\displaystyle \large{s=\dfrac{3}{2} \ \tt{miles/hour}}[/tex]

Therefore, they are traveling 3/2 or 1.5 miles per hour.

Answer:

x = 10

Step-by-step explanation:

Hey there!

To solve this question we will use PEMDAS (order of operations)

4x−7=8x+33

Subtract 8x from both sides.

4x−7−8x=33

Combine 4x and −8x to get −4x.

−4x−7=33

Add 7 to both sides.

−4x=33+7

Add 33 and 7 to get 40.

−4x=40

Divide both sides by −4.

x= 40/-4

Divide 40 by −4 to get −10.

x=−10

Answer:

g = 4

Step-by-step explanation:

1 = g - 3

1 + 3 = g

4 = g

to check:

1 = (4) - 3

1 = 1

correct!

Explanation:

The proof can make use of the ASA congruence postulate.

__

Statement . . . . Reason

AB║CD, AD║BC . . . . definition of parallelogram

∠ACD ≅ ∠CAB, ∠ACB ≅ ∠CAD . . . . alternate interior angles theorem

ΔACD ≅ ΔCAB . . . . ASA congruence postulate

Answer:

69/50

Step-by-step explanation:

138/100

69/50

The total distance the considered fallilng object travels in 2 seconds is given by: Option C: 19.6 m

There are three equation of motions that can be used when motion of the object is under constant acceleration and on a straight path.

They are listed below as:

[tex]v = u + at\\\\s = ut + \dfrac{1}{2} at^2\\\\v^2 = u^2 + 2as[/tex]

where the symbols have following meanings:

Here, assuming negligible air resistance, and ideal situations, the free fall of the considered object can be modeled by these equations of motion.

Here, according to sign convention, we have:

[tex]a = -g = -9.8 \: \rm m/s^2[/tex]

Due to free fall, we have: [tex]u = 0[/tex]

Thus, the net displacement (taking the window as origin) is given by equation:

[tex]s = \dfrac{-gt^2}{2}[/tex]

The distance that object traveles in 2 seconds is the absolute displacement it gets in 2 second of freefall.

This is obtained as:

[tex]D_2 =|s|_2 = \left| \dfrac{-9.8 (2)^2}{2} \right| = 19.6 \: \rm m[/tex]

Thus, the total distance the considered fallilng object travels in 2 seconds is given by: Option C: 19.6 m

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Answer:

18 sticks of pepperoni

Step-by-step explanation:

In order to solve this problem, we have to find out how many pepperoni sticks are needed for just 1 pizza. If it takes 14 sticks to make 28 pizzas, that means it takes only half a stick to make a single pizza.

Now that we have this information, we can multiply 1/2 by 36 to find out how many sticks of pepperoni are needed to make 36 pizzas.

[tex]\frac{1}{2} * 36\\\\\frac{1}{2} * \frac{36}{1} \\ =\\\frac{36}{2} \\ =\\\frac{18}{1}[/tex]

Therefore, it takes 18 sticks of pepperoni to make 36 pizzas. I hope this helps! Have a lovely day!! :)

The probability of winning on the next turn in a play of game that uses two fair number cubes is 0.2222 or 22.22%.

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

You are playing a game that uses two fair number cubes. If the total on the number cubes is either 6 or 10 on your next turn, you win the game.

In the two fair number cubes, there are total 36 outcomes. In this fair,

Total number of favorable outcome is,

[tex]5+3=8[/tex]

Thus, the probability of getting these 8 outcomes from 36 outcomes is,

[tex]P=\dfrac{8}{36}\\P=0.222\\P=22.22\%[/tex]

Thus, the probability of winning on the next turn in a play of game that uses two fair number cubes is 0.2222 or 22.22%.

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Answer:

A=220 and 150 un^2

Step-by-step explanation:

The area for a square is LxW

you have one square with dimensions 2x+4 by x+3 and another with dimensions 3x-9 by x+2

for your first set: A=LxW= (2x+4)*(x+3)

evaluate at x=8: A= (2(8)+4)*(8+3) = 220

second set: A=LxW = (3x-9)*(x+2)

evaluate at x=8: A= (3(8)-9)*(8+2) = 150

Answer:

Step-by-step explanation:this is a very hard question

Using the proportion concept, it is found that:

A proportion is a fraction of a total amount, and larger sample sizes lead to more accurate predictions.

In Tyler's sample, 2 out of 10 students would dye their hair blue, hence:

p = 2/10 = 0.2.

In Kiran's sample, 17 out of 100 would, hence:

p = 17/100 = 0.17.

Due to the higher sample size, as 100 > 20, Kyran's estimate is more accurate.

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Answer:

15

__

28

Step-by-step explanation:

just multiply top by bottom

5*3         15

___ =  ____

7*4        28

Answer:

the answer is 15/28

Step-by-step explanation:

if you multiply the numerators 5 and 3, you get 15. then you have to multiply the denominators 7 and 4 to get 28

Answer:no they are not independent

Step-by-step explanation:

1) in order for events to be independent the probability of E happening should equal the probability of E happening given that F has already happend

2) P(E)=1/6 (on 6 sided die there is only 1 face that has 3 hence probability of e occurring is 1/6) or .167

3) P(E | F) read as probability of E happening given F has occurred

(Probability of E * probability of F) / total number of outcomes in F

probability of F= 1/6 as there is only one face(3) which will make the sum of the 2 die 6

(1/6)(1/6)/6=0.004

P(E)= .1167

P(E| F) =.004

hence probability aren't equal as making F happen impacts E'E's chances

ANOTHER way to think about this is if E rolls a 3 then the only way to make the sum of the 2 dice equal 3 is if die 2 rolls 3 as well. Hence the pprobability Of the second outcome tht sum of 2 die=6 depends on the number the first die lands

Answer:

35 [$]

Step-by-step explanation:

1) if Peter's sum is p and Jacky's is j, then the ratio 5:2 in the condition can be written j/p=5/2;

2) the phrase 'after Jacky gave 15 dolls to Peter, they have an equal number of dolls' can be written as j-15=p;

3) using the two above it is possible to make up the system of two equations:

[tex]\left \{ {{\frac{j}{p} =5/2} \atop {j-15=p}} \right. \ = > \ \left \{ {{j=2.5p} \atop {j-15=p}} \right. \ = > \ \left \{ {{j=25} \atop {p=10}} \right.[/tex]

4) finally, the have together 10+25=35 doll-s.

Jacky and Peter had a total of 70 dolls altogether.

A equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the number of Jack doll and y represent Peter doll, hence:

x - 15 = y + 15  (1)

Also:

(5/7)(x + y) = x   (2)

From both equations:

x = 50, y = 20

x + y = 50 + 20 = 70

Jacky and Peter had a total of 70 dolls altogether.

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Probability of an event measures its chance of occurrence. P(Green in first draw) = 5/14, P(Red in second draw) = 2/14. P(Green in first and red in second draw) = 5/98

Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

Then, its probability is given as

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]

where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.

For two events A and B, by chain rule, we have:

[tex]P(A \cap B) = P(B)P(A|B) = P(A)P(B|A)[/tex]

where P(A|B) is probability of occurrence of A given that B already occurred.

Suppose that two events are denoted by A and B.

They are said to be independent event if and only if:

[tex]P(A \cap B) = P(A)P(B)[/tex]

It is because

[tex]P(A|B) = P(A)\\P(B|A) = P(B)[/tex]

and therefore, using chain rule and above facts gives:

[tex]P(A \cap B) = P(A)P(B)[/tex]

The question is missing some informations, which are:

The result of first draw and the second draw are independent of each other as Deepak replaces the marble after first draw, therefore, making no changes in the count of balls of each color in the considered bag, which decides the probability needed.

Now, let we take:

A = probability that Deepak picks green ball in first draw

B = probability that Deepak picks red ball in the second draw

Then, we get:

[tex]P(A) =\dfrac{5}{14}\\\\P(B) = \dfrac{2}{14}\\\\P(A \cap B) = P(A)P(B) = \dfrac{5 \times 2}{14^2} = \dfrac{5}{98}[/tex]

(there are 14 ways to select a ball, but 5 favorable ball for event A to occur, and 2 favorable balls for event B to occur,therefore the aforesaid probabilities.)

Thus, for this case, we get:

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Answer:

Step-by-step explanation:

radius=1/22 of 32= 16

Area of a circle

22/7×16×16=805cm2