helppppppppPPPPppppppPPPPppppPPpppppPPppPPpppPPPppp PLEASE do not look it up on any source

Answer: x = 5, x = -7/2

Step-by-step explanation:

2x² - 3x - 35 = 0

Step 1: Find two values whose product = 2(-35) and sum = -3:  -10 & 7

Step 2: Replace the b-value of -3x with  -10x + 7x:

2x² - 10x   + 7x - 35 = 0

Step 3: Factor the first two terms and the second two terms:

2x(x - 5)  +7(x - 5) = 0

Step 4: Write the factored form:

Notice that the parenthesis are identical.  This is one of the factors. The outside values are the other factor:

Parenthesis: (x - 5)

Outside: (2x + 7)

Factored form: (x - 5)(2x + 7) = 0

Step 5: Set each factor each to zero and solve for x:

x - 5 = 0             2x + 7 = 0

   x - 5                      [tex]x=-\dfrac{7}{2}[/tex]

The solutions of the quadratic equation given as 2x² - 3x - 35 = 0 are x=5 and x =-3.5.

Given that:

2x² - 3x - 35 = 0

This is a quadratic equation.

It is required to find the solutions of this equation.

The solution of the quadratic equation of the form ax² + bx + c = 0 can be found using the quadratic formula:

[tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

From the given equation:

a = 2

b = -3

c = -35

Substitute to the quadratic formula.

[tex]x=\frac{-(-3)\pm \sqrt{(-3)^2-4(2)(-35)}}{2(2)}[/tex]

  [tex]=\frac{3\pm \sqrt{9+280}}{4}[/tex]

  [tex]=\frac{3\pm \sqrt{289}}{4}[/tex]

  [tex]=\frac{3\pm 17}{4}[/tex]

So, the solutions are:

[tex]x=\frac{3+ 17}{4}=5[/tex], and [tex]x=\frac{3-17}{4}=-3.5[/tex]

Hence, the solutions are x =5, -3.5.

Learn more about Quadratic Formula here :

https://brainly.com/question/22364785

#SPJ6

Answer: The answer is 0.1350

Step-by-step explanation:

Given data

n=36

p=1/2

q=1/2

X=18

O=3

U = 18

a. With n = 36 and p = q = 1/2, you may use the normal approximation with µ = 18 and o = 3. X = 18 has real limits of 17.5 and 18.5 corresponding to z = -0.17 and z = +0.17. p = 0.1350.

The probability that a subject would guess exactly 18 correct in a series of 36 trials is 0.1350.

Given that,

ESP experiment subjects must predict whether a number randomly generated by a computer will be odd or even.

We have to determine,

What is the probability that a subject would guess exactly 18 correct in a series of 36 trials?

According to the question,

Number of trials n = 36

The probability must per whether a number randomly generated by a computer will be odd is 1/2 or even is 1/2.

By using the normal approximation,

[tex]\mu = 18 \ and \ \sigma = 3[/tex]

Therefore,

X = 18 has real limits of 17.5 and 18.5 corresponding to z = -0.17 and z = +0.17.

p = 0.1350

Hence, the probability that a subject would guess exactly 18 correct in a series of 36 trials is 0.1350.

To know more about Probability click the link given below.

https://brainly.com/question/17090368

Answer:

Step-by-step explanation:

Hello,

Question 15

We can search x such that:

   [tex]x^2-4x+4=2x-5\\\\\text{*** subtract 2x-5 from both sides ***}\\ \\x^2-4x-2x+4+5=0\\ \\\text{*** simplify ***}\\ \\x^2-6x+9=0 \\ \\\text{*** we can notice a perfect square ***}\\ \\x^2 -2\cdot x \cdot 3 + 3^2=(x-3)^2=0\\\\\text{*** taking the root ***}\\\\x-3=0\\\\\large \boxed{\sf \ \ x=3 \ \ }[/tex]

There is 1 solution.

Question 16

Again, we search x such that:

  [tex]x^2-8x+15=2x-6\\\\\text{*** subtract 2x-6 from both sides ***}\\\\x^2-8x-2x+15+6=0\\\\\text{*** simplify ***}\\\\x^2-10x+21=0 \\ \\\text{*** we are looking for two roots where the sum is 10 and the product is 21 = 7 x 3 ***} \\\\x^2-7x-3x+21=x(x-7)-3(x-7)=(x-3)(x-7)=0\\\\\large \boxed{\sf \ \ x= 3 \ or \ x =7 \ \ }[/tex]There are two solutions.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

length= 42

width = 7

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

We can use the rational roots test to help factor out the original equation.

The leading term is 1 and the constant is 6

p/q= 6/1

Now we find factors (all these are plus and minus)

1,2,3,6

1

We find the common ones (+1 and -1) and use -1 because it ends up being the root of the function

Factor, (x+1)

Now we have (x+1)(x^2-x-6)

Factor this with whatever method you perfer, I use AC method

Find two that are a product of -6 and add to -1 (-3 and 2)

We get (x+1)(x-3)(x+2)

C

Answer:

[tex]\boxed{C}[/tex]

Step-by-step explanation:

Let's solve all of the option and see which equals x³-7x-6

Option A)

[tex](x-4)(x-2)(x+1)[/tex]

=> [tex](x^2-6x+8)(x+1)[/tex]

=> [tex]x^3+x^2-6x^2-6x+8x+1\\x^3-5x^2+2x+1[/tex]

So, A is not correct

Option B)

[tex](x-6)(x-1)(x+1)\\(x+6)(x^2-1)\\x^3-x+6x^2-6\\x^2+6x^2-x-6[/tex]

This is also not correct

Option C)    ← Correct

[tex](x-3)(x+2)(x+1)\\(x^2-x-6)(x+1)\\x^3+x^2-x^2-x-6x-6\\x^3-7x-6[/tex]

This equals to x³-7x-6, So, this is the correct option. No need to do Option D since we have the right option now!

Answer:

The statement

the product of 60 and the number of seconds is written as

60 * s

Hope this helps you

Answer:

[tex]\boxed{\mathrm{Option \ C}}[/tex]

Step-by-step explanation:

=> [tex]x^2+22x = 31[/tex]

=> [tex](x)^2+2(x)(11) = 31[/tex]

Since b = 11 , So [tex](11)^2[/tex] needs to be added to both sides

Adding [tex](11)^2[/tex]  to both sides

=> [tex](x)^2+2(x)(11)+(11)^2 = 31+(11)^2[/tex]

Completing the square

=> [tex](x+11)^2 = 31+121[/tex]

=> [tex](x+11)^2 = 152[/tex]

Answer:

25.5 days

Step-by-step explanation:

Mean number of days (μ) = 22 days

Standard deviation (σ) = 6 days

Z-score for the 72nd percentile (according to tabulated values) = 0.583

The z-score for any number of days, X, is determined by:

[tex]z=\frac{X-\mu}{\sigma}[/tex]

The value of X that is greater than 72% of the trial times is:

[tex]0.583=\frac{X-22}{6}\\ X=25.5\ days[/tex]

Therefore, 72% of all of these types of trials are completed within 25.5 days.

Answer: Choice C.  an = 8 + 9(n-1)

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

Work Shown:

a1 = 8 is the first term

a7 = 62 is the seventh term

an = a1+d(n-1) = nth term of arithmetic sequence

a7 = a1+d(7-1) ... plug in n = 7; solve for d

62 = 8+d(6)

62 = 6d+8

6d+8 = 62

6d = 62-8

6d = 54

d = 54/6

d = 9 is the common difference

an = a1 + d(n-1)

an = 8 + 9(n-1) is the nth term of this arithmetic sequence

Answer:

Choice C.  an = 8 + 9(n-1)

Step-by-step explanation:

I just took the test

Answer:

B: The mean will increase

Step-by-step explanation: The outlier is 46, which is way below all the other numbers, which is the definition of an outlier. If we remove a really low number from the set, then the mean(average) will increase.

Answer:

Brian is 6 years old, John is 9 years old

Step-by-step explanation:

i.

J = 3 + B

J x B = 54

ii.

(3 + B) x B = 54

B² + 3B = 54

iii.

(B + 9)(B - 6) = 0

B = -9 or 6 -- -9 is irrational as one cannot be negative years old

Brian = 6 years old; therefore, John = 9 years old

Answer:

16x²

Step-by-step explanation:

Set up two equations:

Let a = adults and c = child:

a +  c = 289 ( rewrite as a = 289 - c)

1.50c + 4a = 746

Replace a with the rewritten formula:

1.50c + 4(289-c) = 746

SImplify:

1.50c + 1156 - 4c = 746

Combine like terms:

-2.50c + 1156 = 746

Subtract 1156 from both sides:

-2.50c = -410

Divide both sides by -2.50

c = -410 / -2.50 = 164

Number of children = 164

Number of adults = 289 - 164 = 125

Answer:

[tex] x+y = 289[/tex] (1) total people entered

[tex] 1.50 x +4 y = 746[/tex] (2) total amount collected

From the first equation we can solve for x and we got:

[tex] x = 289-y[/tex] (3)

Replacing (3) into (2) we got:

[tex] 1.5(289-y) +4y = 746[/tex]

And solving for y we got:

[tex] 433.5 -1.5 y +4y = 746[/tex]

[tex] 2.5 y= 312.5[/tex]

[tex]y=\frac{312.5}{2.5}= 125[/tex]

And then using (3) we can solve for x and we got:

[tex] x= 289-125= 164[/tex]

So then we have:

number of children = 164

number of adults = 125

Step-by-step explanation:

Let x the number of children and y the number of adults. From the info given we can set up the following equations:

[tex] x+y = 289[/tex] (1) total people entered

[tex] 1.50 x +4 y = 746[/tex] (2) total amount collected

From the first equation we can solve for x and we got:

[tex] x = 289-y[/tex] (3)

Replacing (3) into (2) we got:

[tex] 1.5(289-y) +4y = 746[/tex]

And solving for y we got:

[tex] 433.5 -1.5 y +4y = 746[/tex]

[tex] 2.5 y= 312.5[/tex]

[tex]y=\frac{312.5}{2.5}= 125[/tex]

And then using (3) we can solve for x and we got:

[tex] x= 289-125= 164[/tex]

So then we have:

number of children = 164

number of adults = 125

Answer:

Step-by-step explanation:

Given the expression for time

[tex]t =2n-3[/tex]

say a customer buys 5 coffees, hence n=5

substituting n=5 into the function time it takes to prepare a coffee we have the time it will take to prepare 5 coffees

[tex]t= 2(5)-3\\t=10-3\\t=7[/tex]

Hence it will take 7 minutes to prepare 5 coffees

Answer:

3 feet

Step-by-step explanation:

To find x, we can write the following equation:

x + 4 + x = 10

2x + 4 = 10

2x = 6

x = 3 feet

Answer:

D. The linear parent function

Step-by-step explanation:

Linear functions are always characterized by a straight line graph with or without an intercept on the vertical or horizontal axis. A linear function usually has an independent variable and a dependent variable. The independent variable is commonly depicted as x while the dependent variable is y.

Thus a linear equation is an equation of the type y=ax where a is a constant term. The equation of a straight line graph his y=mx +c, where;

m= gradient of the straight line graph

x= the independent variable

y= the dependent variable

c= the vertical intercept

Answer:

The linear parent function :)

Step-by-step explanation:

Answer:

1. D

2. B

3. A

Step-by-step explanation:

Question 1:

The pair of <JKL and <LKM can be referred to as linear pairs. They are two adjacent angles that are formed from the intersecting of two lines.

Question 2:

Given that <KLM = x°

<KML = 50°

<JKL = (2x - 15)°

According to the exterior angle theorem, exterior ∠ JKL = <KLM + KML.

2x - 15 = x + 50

Solve for x

2x - x = 15 + 50

x = 65

Therefore, <KLM = 65°

QUESTION 3:

<JKL = 2x - 15

Plug in the value of x

<JKL = 2(65) - 15

= 130 - 15

<JKL = 115°

Answer:

When you reflect a shape avross the y-axis, the y-coordinates stay the same, but the x-coordinates turn into its opposites.

Step-by-step explanation:

EXAMPLES:

(3,6)---(reflected over y-axis)--> (-3,6)

(9,2)---(reflected over y-axis)--> (-9,2)

Hope this helped! Brainliest would be really appreciated :)

Answer: 430

Step-by-step explanation:

An average of 5 scores can be found via: (the sum of the scores)*5.  Thus, simply multiply 86*5 to get that the sum of his scores is 430

Hope it helps <3

Answer:

.9375 days

Step-by-step explanation:

1.25 / 4 = 0.3125

0.3125 x 3 - 0.9375

Answer:

  (F·G)(2) = 20

Step-by-step explanation:

We assume you want (F·G)(2).

  (F·G)(2) = F(2)·G(2)

  F(2) = 4 . . . . from the ordered pair (2, 4)

  G(2) = 5 . . . .from the ordered pair (2, 5)

So your product is ...

  F(2)·G(2) = 4·5 = 20

  (F·G)(2) = 20

Answer:

B.

Step-by-step explanation:

Vincent’s construction method produces a hexagon that may not be equilateral and may not be equiangular. The correct option is D.

A regular polygon is a polygon that is equiangular and equilateral. Therefore, the measure of all the internal angles and the measure of all the sides of the polygon are equal to each other.

Given that Vincent wants to construct a regular hexagon inscribed in a circle. He draws a circle on a piece of paper. He then folds the paper circle three times to create three folds representing the diameters of the circle.

Now as it can be seen as the paper is folded as shown in the below image but it does not create a hexagon that is equilateral and equiangular.

Hence, Vincent’s construction method produces a hexagon that may not be equilateral and may not be equiangular.

Learn more about Regular Polygon:

https://brainly.com/question/10885363

#SPJ2

Answer:

y= -2x +1

Step-by-step explanation:

slope- intercept form:

y= mx +c, where m us the gradient and c is the y-intercept.

Let's find the value of m first using the gradient formula.

Gradient= [tex] \frac{y1 - y2}{x1 - x2} [/tex]

[tex]m = \frac{ - 3 - 3}{2 - ( - 1)} \\ m = \frac{ - 6}{2 + 1} \\ m = \frac{ - 6}{3} \\ m = - 2[/tex]

y= -2x +c

To find the value of c, substitute a pair of coordinates.

When x= -1, y=3,

3= -2(-1) +c

3= 2 +c

c= 3 -2

c= 1

Thus the equation of the line is y= -2x +1.

Answer:

[tex]\boxed{Cos A = 3/5}[/tex]

Step-by-step explanation:

Cos A = Adjacent/Hypotenuse

Where Adjacent = 30 and Hypotenuse = 50

Cos A = 30/50

Cos A = 3/5

Answer:

[tex]\boxed{\mathrm{cos(A) = \frac{3}{5} }}[/tex]

Step-by-step explanation:

[tex]\displaystyle \mathrm{cos(\theta) = \frac{adjacent}{hypotenuse} }[/tex]

The adjacent side to angle A is 30 units. The length of the hypotenuse of the triangle is 50 units.

[tex]\displaystyle \mathrm{cos(A) = \frac{30}{50} }[/tex]

The fraction can be simplified.

Answer: Experimental probability.

Step-by-step explanation:

This starts as "based on past experience."

So we can suppose that this estimation is obtained by looking at the mean of the number of guests on the past N weekday evenings. (With N a large number, as larger is N, more data points we have, and a better estimation can be made)

Then, this would be an experimental probability, because it is obtained by repeating an experiment (counting the number of guests on weekday evenings) and using that information to make an estimation.

Answer:

Maybe D-DE

Step-by-step explanation:

Because D has been decrease to E

Answer:

$13.62

Step-by-step explanation:

By working backward we can see that before she cleaned the windows she had $6.81.

We know that she spent half her allowance on the arcade and the $6.81 she had before cleaning the windows is the other half.

So, if you multiply by 2 you get that here weekly allowance is $13.62.

Answer:

$13.62

Step-by-step explanation:there

Answer:

Step-by-step explanation:

We will develop a test to compare the mean of two population

Population 1.

population mean μ₀₁  = 25  ; Sample variance 27 ; and sample size n = 45

Population 2.

population mean μ₀₂  = 23 ; Sample variance 7,56; and sample size n = 36

As our major interest is to investigate if the new machine uses less time for the same production, the test will be a one tail test ( left test)

Test Hypothesis        

Null Hypothesis                   H₀     ⇒         μ₀₂ -  μ₀₁  = 0    

Alternative Hypothesis       Hₐ     ⇒         μ₀₂ -  μ₀₁ < 0

We will use  confidence of 90 %, therefore α = 10 %   α = 0,1

α  = 0,1    

We get    z score of z = 1,28   or   z = - 1,28   ( left tail)

And  compute z(s)  = ( μ₀₂ -  μ₀₁ ) /√ (s₁)²/n₁   + (s₂)²/n₂

z(s) = -  2 / √(729/45) + (57,15/36)

z(s) = - 2 / √16,2  + 1,59

z(s) =  - 2 / 4,2178

z(s) =  - 0,4742

As |z(s)|  < |z(c)|

We are in the acceptance region. If we lok at 90 % as Confidencial Interval α = 0,1 and  α/2 =  0,05 in this case

₀,₉CI (  μ₀₂ -  μ₀₁)  =  [  -2  ± z(0,05)√  (s₁)²/n₁   + (s₂)²/n₂ )

From z Table  z ( 0,05 )   ⇒ z score   z = 1,64

And √  (s₁)²/n₁   + (s₂)²/n₂ ) =  √(729/45) + (57,15/36)  =  4,2178

₀,₉CI (  μ₀₂ -  μ₀₁)  = [ -2  ± 1,64 *4,2178]

₀,₉CI (  μ₀₂ -  μ₀₁)  = (  - 8,917 ;  4,917 )

We can see that 0 is a possible value in the ₀,₉CI (  μ₀₂ -  μ₀₁) so again we cannot reject H₀. Then as we are not quite sure about the strengths of the new machine over the old one  we should not recomend to purchase the new machine

Answer:

L = 45°

Step-by-step explanation:

1. 82° + 53° = 135°

2. 180° - 135° = 45°

3. Angle L is 45°

I hope this helps.