Solve the equation 2x^2-3x-6=0 give your answer correct to two decimal places

Answer: :o I FINALLY MADE IT

(5, 2)

x = 5

y = 2

Step-by-step explanation:

First, I graphed both equations.  They meet at the points (5,2) and (2,5).  Because y < 5, the solution is (5, 2)

Hope it helps <3

Answer:

[tex]x=5\\y=2[/tex]

Step-by-step explanation:

[tex]x^2 +y^2 =29[/tex]

[tex]x+y=7[/tex]

Solve for x in the second equation.

[tex]x+y=7[/tex]

[tex]x+y-y=7-y[/tex]

[tex]x=7-y[/tex]

Plug in the value for x in the first equation and solve for y.

[tex](7-y)^2 +y^2 =29[/tex]

[tex]y^2-14y+49+y^2 =29[/tex]

[tex]2y^2-14y+20=0[/tex]

[tex]2(y-2)(y-5)=0[/tex]

[tex]2(y-2)=0\\y-2=0\\y=2[/tex]

[tex]y-5=0\\y=5[/tex]

[tex]y<4[/tex]

[tex]y=2[/tex]

[tex]y\neq 5[/tex]

Plug y as 2 in the second equation and solve for x.

[tex]x+y=7[/tex]

[tex]x=7-y[/tex]

[tex]x=7-2[/tex]

[tex]x=5[/tex]

Answer:

25872 ways

Step-by-step explanation:

We're choosing 5 women from a group of 11 and 3 men from a group of 8. We don't care about what order they are picked and so we'll use the combination formula, which is:

n!/(k!)(n-k)! with n as population and k as picks.

We'll multiply the results together. (8! / (3!)(8-3)!) * (11! / (5!)(11-5)!)

That equals: (8! / (3!)(5!) ) * (11! / (5!)(6!)) = 40320/(6x120) * 39916800/ (120x720)

56 * 462 = 25872

Answer:

[tex]a^1[/tex]

Step-by-step explanation:

We want to rewrite [tex]\frac{a * a * a * a * a * a * a}{a * a * a* a * a * a}[/tex] in index form. That is:

[tex]\frac{a * a * a * a * a * a * a}{a * a * a * a * a * a} = \frac{a^7}{a^6}\\ \\= a^{7 - 6}\\\\= a^1[/tex]

where n = 1

Answer:

C. 5

Step-by-step explanation:

The circle has point in the center from where two line blue and red are stretched to the point on the circle. The blue line is 5 in length and the red line length is not known. The circumference of the circle is equal on all the area around the origin. Therefore the red line must also be 5 in length as of blue line.

Answer:

65%

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given: MN ≅ MA

          ME ≅ MR

Prove: ∠E ≅ ∠R

From the given diagram,

YN ≅ YA

EY ≅ RY

<EMA = <RMN (right angle property)

EA = EY + YA (addition property of a line)

NR = YN + RY (addition property of a line)

EA ≅ NR (congruent property)

ΔEMA ≅ ΔRMN (Side-Side-Side, SSS, congruence property)

<MNR ≅ MAE (angle property of congruent triangles)

Therefore,

<E ≅ <R (angle property of congruent triangles)

Answer:

$ 154

Step-by-step explanation

Let the value of suitcase=x

x × 4.5% = 6.93 (converted the question into equation)

x × [tex]\frac{4.5}{100}[/tex] = 6.93 (converted the percentage into fraction)

x = 6.93 x [tex]\frac{100}{4.5}[/tex] (took reciprocal of 4.5/100 after moving it to the other side of the equation)

x = [tex]\frac{693}{4.5}[/tex] (multiplied the values)

x = 154 $ (simplified the fraction)

make it the brainliest and get 20 years of luck : )

Answer:

We also know that the cost for the tax is 6.93 and we can set up the following proportion rule:

[tex]\frac{x}{100} =\frac{6.93}{4.5}[/tex]

And for this case the value of x represent the cost of the suitcase and solving we got:

[tex]x= 100 \frac{6.93}{4.5}= 154[/tex]

Step-by-step explanation:

Let x the original cost and we also knwo that the tax is 4.5%.

We also know that the cost for the tax is 6.93 and we can set up the following proportion rule:

[tex]\frac{x}{100} =\frac{6.93}{4.5}[/tex]

And for this case the value of x represent the cost of the suitcase and solving we got:

[tex]x= 100 \frac{6.93}{4.5}= 154[/tex]

Answer:

d. y minus 8 + 2 less-than-or-equal-to negative 2 + 2

Step-by-step explanation:

Which inequality is equivalent to this one?

y minus 8 less-than-or-equal-to negative 2

y minus 8 + 8 greater-than-or-equal-to negative 2 + 8

y minus 8 + 8 less-than negative 2 + 8

y minus 8 + 2 less-than-or-equal-to negative 2 + 8

y minus 8 + 2 less-than-or-equal-to negative 2 + 2

Take the last option:

y minus 8 + 2 less-than-or-equal-to negative 2 + 2

remove the +2 on each side to get

y minus 8 less-than-or-equal-to negative 2

Answer:

[tex]\boxed{y - 8 + 2\leq - 2 + 2}[/tex]

Step-by-step explanation:

Which inequality is equivalent to this one:

[tex]y - 8 \leq - 2[/tex]

[tex]y - 8 + 8\geq - 2 + 8[/tex]

[tex]y - 8 + 8< - 2 + 8[/tex]

[tex]y - 8 + 2 \leq - 2 + 8[/tex]

[tex]y - 8 + 2\leq - 2 + 2[/tex]

Let’s take the last inequality.

[tex]y - 8 + 2\leq - 2 + 2[/tex]

Subtract 2 on both sides.

[tex]y - 8 + 2-2\leq - 2 + 2-2[/tex]

[tex]y - 8 \leq - 2[/tex]

The inequality is equivalent.

Answer:

B.

Step-by-step explanation:

You can cross multiply or multiply by the common denominator. The common denominator in this case is [tex]5\cdot x=5x[/tex]

[tex]5x(\frac{6}{x})=5x(\frac{2x+4}{5})[/tex]

[tex]30=2x^2+4x[/tex]

[tex]2x^2+4x-30=0[/tex]

Note that [tex]x\neq 0[/tex]

Answer:

B

Step-by-step explanation:

Well the common denominator of 5 and x is 5*x=5x.

[tex]5x(\frac{6}{x} )=5x(\frac{2x+4}{5} )\\\\30=2x^{2} +4x\\\\2x^2+4x-30=0[/tex]

Answer:

Following are the answer to this question:

Step-by-step explanation:

In the given equation there is mistyping so, correct equation and its calculation can be defined as follows:

Given:

[tex]f(x) =\left\begin{array}{cc} 0&x< 1\\0.5& 1 < x<3\\ 1&3 < x\end{array}\right[/tex]

Calculated value:

[tex]1) \ \ P(x < 3) =1\\\\2) \ \ P(x < 2) = 1-0.5 \\[/tex]

                  [tex]= 0.5[/tex]

[tex]3) P(1 < x < 2) = P( x< 2) -p(x< 1)\\\\[/tex]

                      [tex]=0.5-0\\=0.5\\[/tex]

[tex]4) \ \ P(x> 2)= 1-P(x<2)[/tex]

                  [tex]=1-0.5\\=0.5\\[/tex]

That's why the given equation is true.

The probabilities are:

[tex]1. \:P(x < 3) =1\\2.\: P(x < 2) = 0.5\\3.\: P(1 < x < 2) = 0.5\\4.\: P(x > 2) = 0.5[/tex]

Given function is:

[tex]\[ f(x)= \begin{cases} 0, \: \text{x}< 1\\ 0.5, \: 1 < x < 3\\1, \: x \geq 3\end{cases}\][/tex]

Verification that f(x) is Cumulative distribution function:

1. Since for x > 3, f(x)  = 1, thus we have [tex]\lim_{x \to \infty} f(x) = 1[/tex]

2. Since for x < 1, f(x) = 0, thus we have [tex]\lim_{x \to -\infty} f(x) = 0[/tex]

3. Since values of f(x) are not decreasing as x is increasing, thus f(x) is non decreasing.

4. f(x) is right continuous too.

Thus f(x) is a cumulative distribution function.

The Probabilities are calculated as follows:

[tex]1. \:P(x < 3) = f(3) =1\\2.\: P(x < 2) = f(2) = 0.5\\3.\: P(1 < x < 2) = P(x < 2) - P(x < 1)= 0.5 - 0 = 0.5\\4. \: P(x > 2) = 1 - P(x < 2 \: and \: x = 2) = 1 - 0.5 = 0.5[/tex]

Learn more here:

https://brainly.com/question/19884447

Answer:

No there cannot be.

Step-by-step explanation:

In explaining this question, I would like us to take into account who the barber is,

" the barber is the one who shaves all those, and those only, who do not shave themselves".

This barber cannot be in existence because who would shave him? If he should shave himself then there is a violation of the rule which says he shaves only those who do not shave themselves. If he shaves himself then he ceases to be a barber. And if he does not shave himself then he happens to be under those who must be shaved by the barber, because of what the rule says. But then he is the barber.

This lead us to a contradiction.

Neither is possible so there is no such barber.

Answer:

0.9

Step-by-step explanation:

First, convert them all into fractions:

[tex]2\frac{1}{3}=\frac{7}{3}[/tex]

[tex].5=\frac{1}{2}[/tex]

Now, we have:

[tex]\frac{4x+9}{\frac{7}{3} } =\frac{3x}{\frac{1}{2} }[/tex]

Cross multiply:

[tex]\frac{1}{2} (4x+9)=\frac{7}{3} (3x)[/tex]

On the left, distribute. On the right, notice that the 3 in the denominator and the coefficient 3 cancel:

[tex]2x+4.5=7x[/tex]

[tex]4.5=5x[/tex]

[tex]x=0.9=9/10[/tex]

Answer and step-by-step explanation:

Photo

Answer:

Step-by-step explanation:

f(x) = 2x² + x - 3

g(x) = x + 2

To find (f • g) (x) substitute g(x) into every x in f (x)

That's

(f • g) (x) = 2(x + 2)² + x + 2 - 3

Expand and simplify

(f • g) (x) = 2( x² + 4x + 4) + x - 1

= 2x² + 8x + 8 + x - 1

Group like terms

= 2x² + 8x + x + 8 - 1

We have the final answer as

Hope this helps you

Answer:

The  confidence interval is     [tex]0.20644 < p <0.36984[/tex]

Step-by-step explanation:

From the question we are told that

     The  sample is n  = 118

     The  confidence level is  C   =  95 %  

     The  number of people with high blood pressure is  k  =  34

The proportion of those with high blood pressure is evaluated as

          [tex]\r p = \frac{k}{n}[/tex]

substituting values

        [tex]\r p = \frac{34}{118}[/tex]

       [tex]\r p = 0.288136[/tex]

Given that the confidence level is 95%  then the level of significance is evaluated as

       [tex]\alpha = 100 -95[/tex]

      [tex]\alpha = 5[/tex]%

     [tex]\alpha = 0.05[/tex]

Now the critical values of  [tex]\frac{\alpha }{2}[/tex] obtained from the normal distribution table is [tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]

The reason we are obtaining values for  is because  is the area under the normal distribution curve for both the left and right tail where the 95% interval did not cover while   is the area under the normal distribution curve for just one tail and we need the  value for one tail in order to calculate the confidence interval

 Now the margin of error is evaluated as

      [tex]MOE = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\r p (1- \r p)}{n} }[/tex]

substituting values

      [tex]MOE = 1.96 * \sqrt{\frac{ 0.288136 (1- 0.288136)}{118} }[/tex]

      [tex]MOE = 0.0817[/tex]

Thus the 95% confidence interval for the true percentage of all adults that have high blood pressure is evaluated as

      [tex]\r p - MOE < p < \r p + MOE[/tex]

substituting values

      [tex]0.288136 - 0.0817 < p <0.288136 + 0.0817[/tex]

     [tex]0.20644 < p <0.36984[/tex]

Answer:

y=2x-4

Step-by-step explanation:

Add -2x to both sides.

-y=-2x+4

divide each side by -1 to get y=mx+b.

slope= 2

y-intercept= -4

Answer:

x= 50

Step-by-step explanation:

First, simplify the equation

Expand the terms on the left hand side to make it easier to rearrange

   -0.2(x-20) =44-x

   -0.2x+4 =44-x

Rearrange the equation by moving the numbers to one side and the variables to the other

   -0.2x +x= 44-4

    0.8x = 40

Isolate for x

    x= 40/0.8

    x= 50

66.7

you will get the answer

Answer:

66.7

Step-by-step explanation:

The bicycle shop is 24.1 kilometers west of the train station meaning the distance between them is 24.1 kilometers.

The hardware store is 42.6 kilometers west of the bicycle shop meaning the distance between them is 42.6 kilometers.

Finally, you add both of the distances. (42.6 + 24.1)

You get the answer 66.7 kilometers.

Hope this helps!

Answer:

The correct answer is the first one.

Step-by-step explanation:

Let's analyse the effect of each modification in the function.

The value 6 multiplying the cot function means a vertical stretch.

The value of 3 multiplying the x inside the function is a horizontal compression, which causes the period to be 3 times lower the original period.

The original period of the cotangent function is pi, so the horizontal compression will make the period be pi/3.

The value of -pi/2 inside the cotangent function normally causes a horizontal shift of pi/2 to the right, but the x-values were compressed by a factor of 3 (horizontal stretch), so the horizontal shift will be 3 times lower: (pi/2) /3 = pi/6

And the value of 4 summing the whole equation is a vertical shift of 4 units up.

So the correct answer is the first one.

Answer:

option 1

Step-by-step explanation:

Answer:

93%

Step-by-step explanation:

mean=45,000 standard deviation=2000 value of concern=48,000

We can easily see that since the value of concern (48,000) is GREATER than the mean, we can rule out the last two choices.

There is no possible way a number can be greater than the mean, but less than the 50th percentile.

convert 48,000 into a z-score, which is given as:

(x-mean)/standard deviation

or in this case:

(48000-45000)/2000=1.5

using my z-score table or calculator, I can see that a z-score of 1.5 corresponds to about the 93th percentile

Answer:

x = 49/15

Step-by-step explanation:

15x - 30 x 0 + 40 = 89           PEMDAS

15x + 40 = 89        Isolate the variable

15x = 49      

x = 49/15

━━━━━━━☆☆━━━━━━━

▹ Answer

x = 49/15 or 3 4/15 or 3.26

▹ Step-by-Step Explanation

15x - 30 * 0 + 40 = 89

15x - 0 + 40 = 89

15x + 40 = 89

15x = 89 - 40

15x = 49

x = 49/15 or 3 4/15 or 3.26

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

y = 2/3x -2

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

3y -2x = -6

Solve for y

Add 2x to each side

3y = 2x-6

Divide by 3

3y/3 = 2x/3 -6/3

y = 2/3x -2

Step-by-step explanation:

in the diagram what is the value of WRS

Answer:

it is the inches milimeters meters

Answer:

Step-by-step explanation:

Given,

Volume of cone ( v ) = 27 π

Radius ( r ) = 3 cm

Height of cone ( h ) = ?

Now, let's find the height of cone:

Volume of cone = [tex] \frac{\pi {r}^{2}h }{3} [/tex]

plug the values

[tex]27\pi = \frac{\pi \: {3}^{2} \: h \: }{3} [/tex]

Evaluate the power

[tex]27\pi = \frac{\pi \times 9 \times h}{3} [/tex]

Divide 9 by 3

[tex]27\pi = 3\pi \: h[/tex]

Divide both sides of the equation by 3π

[tex] \frac{27\pi}{3\pi} = \frac{3\pi \: h}{3\pi} [/tex]

Calculate

[tex]9 = h[/tex]

Swipe the sides of the equation

[tex]h = 9[/tex] cm

Hope this helps..

Best regards!!

Answer:

A real root of fifth-grade multiplicity/No complex roots.

Step-by-step explanation:

The Fundamental Theorem of Algebra states that every polynomial with real coefficients and a grade greater than zero has at least a real root. Let be [tex]f(x) = (x+7)^{5}[/tex], if such expression is equalized to zero and handled algebraically:

1) [tex](x+7)^{5} = 0[/tex] Given.

2) [tex](x+7)\cdot (x+7)\cdot (x+7)\cdot (x+7)\cdot (x+7) = 0[/tex] Definition of power.

3) [tex]x+7=0[/tex] Given.

4) [tex]x = -7[/tex] Compatibility with the addition/Existence of the additive inverse/Modulative property/Result.

This expression has a real root of fifth-grade multiplicity. No complex roots.

Answer:

x = 25

Step-by-step explanation:

We have 2 similar triangles:

1) with hypotenuse 15 and short leg 9,

2) with hypotenuse x and short leg 15.

For similar triangles we can write a proportion for corresponding sides.

hypotenuse 1: leg1 = hypotenuse 2 : leg 2

15 : 9 = x : 15

9x = 15 * 15

x = 15*15/9

x = 25

Answer:

a)0.7 is greater than>0.52

b)0.52 is greater than>0.045

c)0.49 is less than<0.94

d)0.302 is greater than>0.23

e)0.9 is greater than>0.6

f)2.36 is less than<3.19

Answer:

3/7

Step-by-step explanation:

The prime numbers that lie between 1 and 21 are 2,3,5,7,11,13,17, and 19. These 8 balls, plus the 10-ball comes to a total of 9 balls that could be picked out of the 21. Therefore, the probability of picking one of these balls is 9/21 or 3/7

Answer:

[tex]\frac{9}{21}[/tex]

Step-by-step explanation:

→ List the prime numbers between 1 and 21

2, 3, 5, 7, 11, 13, 17 and 19

→ Count how many ball that is

8 balls

→ Remember in the question it says "what is the probability of selecting a ball with a prime number on it or a 10"

8 balls + 1 ball (the one with the number 10)

→ 9 balls overall over a total of 21

Answer:

8 hours

Step-by-step explanation:

25%= 2 hrs

100%=8 hrs

brainliest plsssssssssssssssssssss

       -zylynn

Answer:

The third answer (C).

Step-by-step explanation:

This graph starts at 10. So it needs the +10 at the end.

Also the slope is -1/2 because the graph goes down one, right two. Rise/run.

Answer:

y= -1/2x+10

Step-by-step explanation:

The slope-intercept form of a linear equation is y = mx + b, where m represents the slope and b represents the y-intercept.

For the the given graph, the y-intercept is 10. The slope can be determined by finding the rate of change between any two points on the graph, such as (2,9) and (8,6).

Answer:

1/2 or 0.5

Step-by-step explanation:

To find out what 2/3 is out of 3/4, we just have to multiply them together to get our exact answer.

[tex]\frac{2}{3} *\frac{3}{4}=\frac{6}{12}=\frac{1}{2}[/tex]

Our final answer is 1/2 or 0.5.