On considère les deux expressions A et B. A=4(x+5)-8 B=x au carré+15. Avec x=1,puis avec x=3, je trouve le même résultat pour A et B donc, quel que soit le nombre x, on a A = B. Emma a-t-elle raison ? Justifier la réponse.

Answers

Answer 1

Explication étape par étape:

Compte tenu des expressions ';

A = 4 (x + 5) -8

B = x² + 15

Nous devons vérifier si A = B pour les deux valeurs de x à x = 1 et x = 3

à quand x = 1

A = 4 (1 + 5) -8

A = 4 (6) - 8

A = 24-8

A = 16

B = x² + 15

B = 1² + 15

B = 1 + 15

B = 16

Donc à quand x = 1, A = B = 16

quand x = 3

A = 4 (x + 5) -8

A = 4 (3 + 5) -8

A = 4 (8) - 8

A = 32-8

A = 24

B = 3² + 15

B = 9 + 15

B = 24

Également lorsque x = 3, A = B = 24

Cela montre que le postulat d'Emmas est juste.


Related Questions

Express the null hypothesis and the alternative hypothesis in symbolic form that would be used for a hypothesis test. A psychologist claims that more than 5.8 percent of the population suffers from professional problems due to extreme shyness.

Answers

Answer:

Null Hypothesis

                 H₀ :  P = 3.8

Alternative Hypothesis

                 H₁: P > 3.8

Step-by-step explanation:

Explanation:-

Null Hypothesis :-

 The single statistic, H₀ will be that the sample statistic

H₀ : There is does not differ significantly from hypothetical parameter values

H₀ :  P = 3.8

Alternative Hypothesis:

The statistic , H₁ will be the sample statistic

H₁: There is  differ significantly from hypothetical parameter values

H₁: P > 3.8

Rachel pays $131.44 for a desk, including tax. the tax is 31 cents less than 1/16 of the desk's price. what is the price of the desk before adding the tax?

help me plz

Answers

$123.53 because divide 132.44 by 16 and subtract .31 is the tax. Subtract that number from 131.44 is the cost of the desk before tax

Write an equation to represent the following description "fourteen less than 8 times a number is -11

Answers

Answer:

(8 * x) -14 = -11

Step-by-step explanation:

* = multiply sign (i didnt want to put "x" as the multiply sign since "x" is already being used) ( mightve confused you with 2 "x"s in the parenthesis.

x = the number that is missing being multiplied by 8

I put "8" multiplied by "x" in parenthesis since you do parenthesis first in an equation.


through: (4, -5), perp. to y =2/3x – 3

Answers

Answer:

y=-3/2x+11

Step-by-step explanation:

M a t h w a y

The Awnser is Y=-3/2x+11

Which one is correct? Please hurry <3

Answers

First one (20 characters) hope this helped

Answer:

PEMDAS so multiply or divide the coefficient

Step-by-step explanation:

Write an equation that represents the line. Use exact numbers

Answers

Answer:

y= 2/3x + 1.25

Step-by-step explanation:

I can't see the exact number but it's probably 1.25. Sorry if it's wrong :)

Question 1
8 pts
You are shopping at Math-Mart and your total purchase is $80. What is the total cost if the
tax rate is 8%?

Answers

Answer:

86.40

Step-by-step explanation:

First you do 80 x 0.08 to get 6.4, then you add that to 80 to get 86.40 dollars

The volume of a rectangular prism whose dimensions are binomials with integer coefficients is modeled by the function V(x) = x^3 − 14x^2 + 49x − 36. Given that x − 1 and x − 9 are two of the dimensions, find the missing dimension of the prism.

Answers

Answer:

The missing dimension of the prism is (x-4)

Step-by-step explanation:

Here, we want to find the missing dimensions of the prism

To get the volume, we are to multiply three dimensions since we are talking about volume

Mathematically, to find the third dimension, we need to divide the original polynomial by the product of the two other dimensions

The product of the two other dimensions is;

(x-1)(x-9) = x^2-9x-x + 9

= x^2-10x+ 9

So we divide;

(x^3-14x^2+49x-36)/(x^2-10x+ 9)

We can use long division to get this

using long division, the answer here is x-4

The volume of a prism is the product of its dimensions.

The missing dimension of the prism is x - 4

The volume function is given as:

[tex]\mathbf{V(x) = x^3 - 14x^2 + 49x - 36}[/tex]

Let the missing dimension of the prism be y.

So, the volume is calculated using:

[tex]\mathbf{V(x) = y \times (x - 9) \times (x -1)}[/tex]

Multiply the factors

[tex]\mathbf{V(x) = y \times ( x^2-9x-x + 9)}[/tex]

[tex]\mathbf{V(x) = y \times ( x^2-10x + 9)}[/tex]

Equate both expressions of volume

[tex]\mathbf{y \times ( x^2-10x + 9) = x^3 - 14x^2 + 49x - 36}[/tex]

Make y the subject

[tex]\mathbf{y = \frac{x^3 - 14x^2 + 49x - 36}{x^2-10x + 9 }}[/tex]

Factor the numerator

[tex]\mathbf{y = \frac{(x - 4)(x^2-10x + 9 )}{x^2-10x + 9 }}[/tex]

Cancel out common factors

[tex]\mathbf{y = x - 4}[/tex]

Hence, the missing dimension of the prism is x - 4

Read more about volumes at:

https://brainly.com/question/21308855

Find the x-intercept and y-intercept of the line.
2x+y=8
y-intercept:
x-intercept:

Answers

Answer:

The x intercept is 4 (by substituting y as zero we get x intercept)

And the y intercept is 8 (by substituting x as zero we get y intercept)

Take (4, 0) and take (8, 0) to graph the line

You're welcome!

Answer:

x = 4 y = 8 graph (4,0) and (8,0)

Which units would be used for a measurement of area?
cm 2
π
inches
ft 3

Answers

I believe cm. I’m not quite sure tho i don’t think it would be pi.

IN A GAME,THE PROBABILITY OF THE SPINNER LANDING ON A 2 IS 1/3. HOW MANY TIMES WOULD YOU SPIN EXPECT TO LAND ON A 2 IF YOU SPIN THE SPINNER12 TIMES. PLEASE HELP!!! PLEASE HELP ASAP!! WILL MARK BRAINLIIEST!!

Answers

Answer:

I’m pretty sure u would spin it 4 times

Step-by-step explanation:

I hope that helps check with someone else tho ❤️❤️

Determine which regions contain cube roots of -1

Answers

Answer:

A, C, F

Step-by-step explanation:

What composition of rigid motions maps APOR LO AXZY?
A T<1,3> (270, 0)
B. Rx=0.T<0,2>
C. Tx6,2>. Rx = -2
D. Ry=-2.T-6,0>

Answers

Answer:

Looking for an answer for this one

Step-by-step explanation:

hhhhhhheeeeeeeeeeellllllllllllloooooooooooooopppppppppppppppppppppppppppp

Answers

Answer:

nooooooooooo biiiiiiiiiiit.ch

Answer:

c

Step-by-step explanation:

change is rise over run, and 3 is your rise and 2 is your run, so when the line goes up 3, it goes to the right 2 units

Divide quadratics by linear expressions (with remainders)
Divide the polynomials.
Your answer should be in the form p(x) +
where p is a polynomial and k is an integer.
3
37
22 + 4
3
Stuck? Watch a video or use a hint.
Report a problem

Answers

Answer:

x + 3 + [tex]\frac{13}{x-3}[/tex]

Step-by-step explanation:

Divide using Synthetic division

dividing by ( x - 3)

Using 0 to represent the x- term

3 |  1  0   4

     ↓ 3    9

        +     +

   ------------------

     1   3    13 ← remainder

Thus

[tex]\frac{x^2+4}{x-3}[/tex] = x + 3 + [tex]\frac{13}{x-3}[/tex]

 

Angles formed by parallel lines and transversal

Answers

Angle 1 is 113
Angle 2 is 67

I need help please I forgot how to do this

Answers

Answer:

no it is not proportional

Answer:

No 3/9 would be proportional to 6/18

Step-by-step explanation:

I think

Maria takes 2 hours to plant 50 flower bulbs. Lois takes 3 hours to plant 45 flower bulbs. Working together, how long should it take them to plant 150 bulbs?

Answers

Answer:

Maria:  (50 bulbs)/(2 hours) = 25 bulbs/hour

Lois:  (45 bulbs)/(3 hours) = 15 bulbs/hour

Together:  25 + 15 = 40 bulbs/hour

(150 bulbs)/(40 bulbs per hour) = 3 3/4 hours

(3/4 hours)(60 minutes/hour) = 45 minutes

Total time:  3 hours 45 minutes

Duldupfircdesghjurdjoi

What is correct?
Screenshot below
I will give out 11 points

Answers

The first sentence is true
The first sentence from that question is true because they are all smaller than the largest number

Part A: A graph passes through the points (0, 2), (2, 6), and (3, 12). Does this graph represent a linear function or a non-linear function? Explain your answer in words.

Part B: Write one example of a linear function and one example of a non-linear function. (Use x and y as the variables) (10 points)

Answers

Answer:

Im doing the same quesiton for flvs and dont know

Step-by-step explanation:

Answer:

what school do u do

Step-by-step explanation:

Jeff collects baseball cards. His collection is getting quite large, so he would like to keep
the cards in an album. He has an average of 10 cards for each of 24 teams. How many
album pages will he need if each page can hold 8 cards (4 on each side)?

Answers

Answer:

30

Step-by-step explanation:

10 x 24 = 240

240 divided by 8 = 30

Tell whether the following equation has one, zero, or infinitely many solutions. 2(4x + 10) = 8x + 20. Group of answer choices:

A) Infinitely many solutions

B) One solution

C) Zero solutions

Answers

Answer:

The equation will have infinitely many solutions.

Option A is correct

Step-by-step explanation:

We need to tell if the equation [tex]2(4x + 10) = 8x + 20[/tex] has one, zero, or infinitely many solutions.

First we solve the equation to find the value of x

[tex]2(4x + 10) = 8x + 20[/tex]

First multiply 2 with terms inside the bracket

[tex]8x+20=8x+20[/tex]

Now Subtract 20 from both sides

[tex]8x+20-20=8x+20-20[/tex]

[tex]8x=8x\\0=0[/tex]

So, the equation will be true for all values of x

As after solving the equation we get 0=0 so, the equation will have infinitely many solutions.

Option A is correct

Solve x2 – 12x + 11 = 0 by completing the square.
Question 7 options:

x = –1


No Real Solutions


x = 11 and x = 1


x = 11

Answers

Answer:

Step-by-step explanation:

x^2 – 12x + 11 = 0

(x-11)(x-1)

x= 11, 1 completing the square

Roger completes a quiz with these rules: 5 points are given for each right answer, 2 points are lost for each wrong ans. Roger gets 6 questions correct and 4 questions wrong. What is roger's final score ?

Answers

Answer:

The final score of Roger is 22.  

Step-by-step explanation:

The final score (F) of Roger is given by:

[tex] F = 5R - 2W [/tex]

Where R is the right answers and W is the wrong answers

Since he gets 6 questions correct (R = 6) and 4 question wrong (W = 4) we have:

[tex] F = 5R - 2W = 5*6 - 2*4 = 22 [/tex]

Therefore, the final score of Roger is 22.    

I hope it helps you!                              

Write a direct variation equation that relates x
and y. Then solve.

If y= -8 when x= -2, find x when y= 32

Answers

Answer:

y/x= -8/-2= 4 => when y=32 => 32/x=4 => x=8

A company tests the life of its rechargeable batteries over six months of use. They test how long a battery will last after a full charge and put the data into a scatter plot. On the best-fit line y=-12.05+224.26 about how many months will a typical battery last before it is completely dead? Round your answer to the nearest tenth of a month.

Answers

Answer:

18.6 months

Step-by-step explanation:

Given that :

Best fit line from scatterplot :

y=-12.05x +224.26

x = Number of month

y = charge on battery

Number of months a typical battery uses before being dead completely :

When battery is dead completely ; charge =0, y = 0

y = -12.05x + 224.26

0 = - 12.05x + 224.26

12.05x = 224.26

x = 224.26 / 12.05

x = 18.610788

Hence, 18.6 months before battery is completely dead.

ayeeeeee who watched "the voice" tonight

Answers

ayeeeeeeeee not meeee

not me butt ayyyy whos failing school :)

All of the following effect the wind motion EXCEPT
A. Gravity
B. Rotation of the earth
C. Friction with the ground
D. Location of high and low pressure
(Science middle school)

Answers

Answer:

I think option D.

Step-by-step explanation:

lmk if it's wrong

which one is greater 6.65 or 6.650

Answers

Answer:

neither they are both equal

Step-by-step explanation:

Answer: there equal/ the same.

Step-by-step explanation:

10.022 in word form​

Answers

Answer:

ten point zero twenty two

Step-by-step explanation:

TEN AND TWENTY-TWO THOUSANDTHS

How do you write 37.025 in word form?

How to Write Out Number 37.025 in Words: thirty-seven and twenty-five thousandths in (US) American English, Number Converted (Spelled Out) to Words.

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