What are the values of x in the equation 4x2 + 4x – 3 = 0

Answer:

There are 60 * 60 = 3600 seconds in one hour so the plane goes 15000 / 3600 = 4 and 1/6 miles per second.

Answer:

Step-by-step explanation:

[tex]1500 \: miles \: \: per \: hour[/tex]

[tex] = \frac{15000}{60 \times 60} [/tex]

[tex] = \frac{15000}{3600} [/tex]

[tex] = \frac{25}{6} [/tex]

[tex] = 4 \frac{1}{6} \: miles \: per \: second[/tex]

Hope this helps...

Good luck on your assignment...

Answer:

hope this helps you

Answer: B

Step-by-step explanation: graph b

Step-by-step explanation:

Equation: y= [tex]-x^2+3x+9[/tex]

To create a parabola:

Does your parabola open up or down: If up, a>0 if down, a<0

This one opens down.

Is there a vertical strech or vertical compression:

No

What is the y-intercept: (0,9)

What strategy: Quadratic formula

Why?: You can fully factor the equation. You just get

-([tex](x^2-3x-9)[/tex]  which isn't factorable.

Use the quadratic formula, where a= -1, b= 3, and c=9 to show your work.

Quadratic formula: [tex]\frac{-b+\sqrt{b^2-4ac} }{2a} \frac{-b-\sqrt{b^2-4ac} }{2a}[/tex]

[tex]\frac{-(3)+\sqrt{(3)^2-4(-1)(9)} }{2(-1)}[/tex] and [tex]\frac{-(3)-\sqrt{(3)^2-4(-1)(9)} }{2(-1)}[/tex]

[tex]\frac{-3+\sqrt{9-4(-9)} }{-2}[/tex] and[tex]\frac{-3-\sqrt{9-4(-9)} }{-2}[/tex]

[tex]\frac{-3+\sqrt{9+36} }{-2}[/tex] and [tex]\frac{-3-\sqrt{9+36} }{-2}[/tex]

[tex]\frac{-3+\sqrt{45} }{-2}[/tex] and[tex]\frac{-3-\sqrt{45} }{-2}[/tex]

[tex]\sqrt{45}[/tex] = [tex]\sqrt{9 (5)} = 3\sqrt{5}[/tex]

[tex]\frac{-3+3\sqrt{5} }{-2}[/tex] and [tex]\frac{-3-3\sqrt{5} }{-2}[/tex]

Cancel the negatives (-3) and (-2)

[tex]\frac{3 +3\sqrt{5} }{2} or\frac{3 -3\sqrt{5} }{2}[/tex] = end result

Good luck!

Answer: 240 seconds OR 4 minutes

Step-by-step explanation:

Length of the train = 1 km

Length of the tunnel = 1 km

Therefore, length of the train + length of the tunnel = (1 + 1) km = 2 km

= 2000 m

Speed of the train = 30 km/hr = 8.333 metres per second

Therefore, time taken by the train to cross the tunnel = 2000 m/ 8.333 m/sec.

= 240 seconds = 4 minutes

I hope this helps you

Answer:  B) sin θ = 5/13    and    D) tan θ = 5/12

Step-by-step explanation:

[tex]\csc\theta=\dfrac{r}{y}=\dfrac{13}{5}[/tex]

Use Pythagorean Theorem: x² + y² = r² to calculate x = 12

[tex]\sin \theta=\dfrac{y}{r}=\dfrac{5}{13}\qquad \qquad \qquad \csc \theta=\dfrac{r}{y}=\dfrac{13}{5}\\\\\\\\\cos \theta=\dfrac{x}{r}=\dfrac{12}{13}\qquad \qquad \qquad \sec \theta=\dfrac{r}{x}=\dfrac{13}{12}\\\\\\\\\tan \theta=\dfrac{y}{x}=\dfrac{5}{12}\qquad \qquad \qquad \cot \theta=\dfrac{x}{y}=\dfrac{12}{5}[/tex]

Answer:

58, 38 and 76

Step-by-step explanation:

(a)

The median is represented by the vertical line inside the box

median = 58

(b)

The interquartile range is the difference between the upper quartile and the lower quartile.

The upper quartile is the value at the right of the box, that is 72

The lower quartile is the value at the left of the box, that is 34

Interquartile range = 72 - 34 = 38

(c)

The range is the difference between the largest and smallest value

max value is the value at the right of the data, that is 86

min value is the value at the left of the data, that is 10

Range = 86 - 10 = 76

Answer: 6 of 1/8 cups

Step-by-step explanation:

Answer:

He needs 6 more spoons

Step-by-step explanation:

Since Jimmy needs 3/4 cups of flour and only has 1/8 cups as his measuring spoon, we can do 3/4 = x/8

Now, we need to make the denominator the same, so we will multiply 2 from the numerator and denominator in 3/4.

Afterwards, the equation would be : 6/8 = x/8

x = 6

Answer:

No

Step-by-step explanation:

For X and Y to be in proportion, The values should both be the same so if x is 10 y is 10 and so on.

Answer:

[tex]\left[\begin{array}{ccc}-5\\-5\\\end{array}\right][/tex]

Step-by-step explanation:

Consider any one of the vertices of A

To translate to the corresponding vertex in B , the requirement is

shift 5 to the left, that is negative 5

shift 5 units down that is negative 5

The single translation is [tex]\left[\begin{array}{ccc}-5\\-5\\\end{array}\right][/tex]

Answer:

Step-by-step explanation:

quotient of a number and -5 is written as

[tex] \frac{x}{ - 5} [/tex]

Equate it to 2

We have

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

Cross multiply

That's

x = 2 × - 5

x = - 10

Hope this helps you

Answer: -10

Step-by-step explanation:

So to set up the equation, it will be x/-5 = 2.

Then, you multiply (because it is the inverse of dividing) 2 by -5, and you get -10.

Answer: A  y=4x -5 and y=4x+5

Step-by-step explanation:

They have no solutions because they have the same slopes but different y intercepts. That works with any equation.

Answer:

the answer is A

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

This is a quadratic polynomial that has the form ax²+bx+c :

here the coefficient of b is -5

Answer:

5

but if you sure just looking for the coefficient to just plain b, it is 5

the coefficient of (b^2) is  1 and  the coefficient of  b itself -5

the reason  i say coefficient  to (b^2) is 1 because there is no numder  in front

of the variable , it is automatically  assumed to be 1

Step-by-step explanation:

a coefficient is a numder  that a variable is multiplied by

Answer:

The answer would be f(a)=-1

-AC I hope this helps<3

Answer:

x = 5

Step-by-step explanation:

Here, we want to use Crammer’s rule to find the value of x

Please check attachment for complete solution

Answer:

k-4.7

Step-by-step explanation:

It is k minus 4.7 because when it says less than it means the number that is stated before the phrase is being subtracted :)

Answer:

k-4.7

Step-by-step explanation:

For writing algebraic expressions, we have translate the words to math.

4.7 less than a number k, means subtraction (notice the word- less)

Thus, we have k-4.7

Hope this helps :)

Answer:

6a + 12b + 18c

Step-by-step explanation:

6 (a +2b+3c)

Distribute

6a + 6*2b + 6*3c

6a + 12b + 18c

Answer:

[tex]\boxed{\sf \ \ \ x=-9 \ \ or \ \ x=2 \ \ \ }[/tex]

Step-by-step explanation:

hello,

[tex]2x^2+7x-14=x^2+4\\<=> 2x^2+7x-14-x^2-4=0\\<=> x^2+7x-18=0\\<=>x^2-2x+9x-18=0\\<=> x(x-2)+9(x-2)=0\\<=> (x+9)(x-2)=0\\<=> x+9 = 0 \ \text{or} \ x-2=0\\<=> x = -9 \ \text{or} \ x=2[/tex]

hope this helps

Answer:

Oregon:

Median: 467.5

Mean: 451.33

Standard Deviation: 113.6

Washington:

median: 380

Mean: 396.6

Standard deviation: 56.3

Step-by-step explanation:

To calculate the median, we need to organize the price and select the value that is in the middle position.

To calculate the mean, we need to sum all the values and divide them by the number of values

To calculate the standard deviation, we need to square the distances between every price and the mean, sum it all and divide them by the number of values less 1 and finally calculate the square root.

So, for Oregon, the organized values are:

$295, $345, $460, $475, $538, $595

The median is a value between $460 and $475. it is calculated as:

[tex]\frac{460+475}{2}=467.5[/tex]

The mean is:

[tex]\frac{295+475+345+595+538+460}{6}=451.33[/tex]

The standard deviation is:

[tex]\sqrt{\frac{(295-451.3)^2+(475-451.3)^2+(345-451.3)^2+(595-451.3)^2+(538-451.3)^2+(460-451.3)^2}{6-1}}=113.6[/tex]

At the same way, we can calculate the median, mean, and standard deviation for Washington and get:

median: 380

Mean: 396.6

Standard deviation: 56.3

Answer:

  y = (1/3)x +4

Step-by-step explanation:

The line intercepts the y-axis at y=4. It has a "rise" of 1 unit for each "run" of 3 units, so its slope is rise/run = 1/3.

The slope-intercept form of the equation of a line is ...

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

When we put the proper numbers in the equation, we have ...

  y = (1/3)x + 4

Answer:

(A)Cost of Rental A, C= 15x

Cost of Rental B, C=5x+50

Cost of Rental C, C=9x+20

(B)

i. Rental C   ii. Rental A     iii. Rental B

Step-by-step explanation:

Part 1

Let x be the number of hours of the barbeque use by the club.

Rental A: $15/h

Cost of Rental A, C= 15hx

Rental B: $5/h + 50

Cost of Rental B, C=5x+50

Rental C: $9/h + 20

Cost of Rental C, C=9x+20

Part 2

The graph of the three models is attached below

Part 3(11.05-4.30)

If the barbecue's usage hour is from 11.05 to 4.30 when the football match ends.

Number of Hours between 11.05am and 4.30pm=4 hours 25 Minutes = 4.42 Hours

Cost of Rental A, C= 15x=15(4.42)=$66.30

Cost of Rental B, C=5x+50 =5(4.42)+50=$72.10

Cost of Rental C, C=9x+20=9(4.42)+20=$59.78

Rental C should be chosen as it offers the lowest cost.

Part 4 (11.05-12.30)

Number of Hours = 12.30 -11.05 =1 hour 25 Minutes = 1.42 Hours

Rental A should be chosen since it offers the lowest cost.

Part 5

If the barbecue is returned the next day, say after 24 hours

Rental B should be chosen as it offers the lowest cost.

Answer:

reflection and rotation

Step-by-step explanation:

Answer: Hope this helps <3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given figure : Trapezium

Upper base of trapezium ( b1 ) = 7

Lower base ( b2 ) = 3

Height ( h ) = 3

Now, finding the area of trapezium:

[tex] \frac{1}{2} (b1 + b2)h[/tex]

Plugging the values

[tex] \frac{1}{2} \times (7 + 3) \times 3[/tex]

Calculate the sum

[tex] \frac{1}{2} \times 10 \times 3[/tex]

Reduce the numbers with G.C.F 2

[tex]5 \times 3[/tex]

Calculate the product

[tex] = 15 \: {units}^{2} [/tex]

Hope this helps..

Best regards!

Answer: 315.3 min^-1

Step-by-step explanation:

Given the following :

Speed = 45miles per hour

Diameter of wheels = 48inches

Number of complete revolutions the wheel makes in one minute =?

Since wheel diameter is in inches, we convert speed (miles/hour) to inch per minute

1 mile = 63360 ; 60minutes = 1 hour

45 miles / hour = (45 × 63360) / 60

= 2851200 inch/60 min

= 47520inch/min

Distance covered per revolution:

Circumference of a circle (C) = 2πr

Where r = radius ; r = diameter / 2

r = 48/2 = 24 inches

C = 2 * 3.14 * 24 = 150.72inches

Number of revolutions per minute:

Speed per minute / distance covered per revolution

(47520inch/min)/ (150.72 inch)

= 315.286 min^-1

Answer:

x=42

Step-by-step explanation:

The tens digit of a two-digit number is twice the units digits. put it in an equation:

10(2x)+x = 10x+2x+18

21x=12x+18

21x-12x=18

x=18/9=2

substitute x:

10(2x)+x = 10x+2x+18

10(2*2)+2=10(2)+2(2)+18

42=24+18

Answer:

[tex]\boxed{\sf \ \ \ x^3-2x^2-19x+20 \ \ \ }[/tex]

Step-by-step explanation:

hello,

by definition we can write

[tex](x-5)(x+4)(x-1)[/tex]

as 5,-4,1 are the zeroes

now we have to write it in the standard form, let's do it

[tex](x-5)(x+4)(x-1)=(x^2+4x-5x-20)(x-1)\\=(x^2-x-20)(x-1)=x^3-x^2-20x-x^2+x+20\\=x^3-2x^2-19x+20[/tex]

hope this helps

Answer:

x=-1, y=2, z=3

Step-by-step explanation:

First at all, you can divide these equations into two group. It is easier to you.

4x-2y+3z=1

3x+y+2z=5

x+3y-4z=-7

3x+y+2z=5

Then, you can simplify these group of equation that you divided.

So, we have to simplify these step by step.

First, we can simplify the first group of equation.

4x-2y+3z=1

3x+y+2z=5

We have to find which variable you want to eliminate. I choose y.

You can multiply the second equation of first group by 2 and eliminate them.

4x-2y+3z=1

6x+2y+4z=10

As the variable of y is same and we can eliminate y by addition.

4x-2y+3z=1

6x+2y+4z=10

become

10x+0+7z=11

10x+7z=11

10x+7z=11 as the third equation.

Next, simplify the second group of equation.

x+3y-4z=-7

3x+y+2z=5

Same way as the previous one. We need to find which variable that you want to eliminate. I choose y.

We need to balance for the first equation x+3y-4z=-7 at least one variable.

We need to multiply this equation by -3 below to get the same value of y to eliminate the above equation.

3x+y+2z=5 (multiply by -3)

-9x-3y-6z=-15

x+3y-4z= -7

-9x-3y-6z= -15

Here we go! Now these group has same value and variable to eliminate.

We can eliminate these equations by addition method.

x+3y-4z= -7

-9x-3y-6z= -15

-8x+0+10z= -22

-8x+10z= -22

Furthermore, we have to combine these equations that we have simplified from the previous groups.

10x+7z=11

-8x+10z= -22

10x+7z=11 and -8x+10z= -22 as a new group.

Finally, it is time to solve these equations!!

10x+7z=11

-8x+10z= -22

First equation of the above group, we can multiply by 10. Like this:

100x+70z=110

Second equation of the above group, we can multiply by 7. Like this:

-56x+70z=-154

So, we can see there are same value from these equation which are +70z and -70z.

Now, we can eliminate this variable by sum these equations.

100x+70z=110

-56x+70z=-154

44x= -44

x= -1

When we get x= -1 , we can use this value to any equation that you want. You can get the same answer as well.

When x= -1,

substitute into 100x+70z=110

100(-1)+70z=110

-100+70z=110

70z=110+100

70z=210

z=3

When z=3 and x= -1, we can substitute into x+3y-4z= -7

-1+3y-4(3)= -7

-1+3y-12= -7

3y=6

y=2

So, the answer is x= -1 , y=2 , z=3

I hope you will understand my solution and explanation. Bye!!

Answer:

125

Step-by-step explanation:

They want you to work out  [tex]\\\frac{5 *10^{6} }{4*10^{4} }[/tex]

5 x 1000000/ 4 x 10000

[tex]\frac{5000000}{40000}[/tex] = 125

Please let me know if it's not correct.

Hope this helps :)