If the length of a rectangle is
expressed by 22 + 41-8 and the
width is 3x What is the area of the
rectangle?

Answer: x^3 -12x^2+31x-96+ 292/x+3

The remainder is 292

Step-by-step explanation: I used synthetic division to get the answer and got the answer above. I hope this helped :)

Given:

The height of ball is represented by the equation is

[tex]h=-16t^2+6t+4[/tex]

To find:

The time taken by ball to hit the ground.

Solution:

First we need to find the zeroes of the given equation. So, for zeroes h=0.

[tex]-16t^2+6t+4=0[/tex]

Here, [tex]a=-16,b=6,c=4[/tex]. Usingquadratic formula, we get

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

[tex]t=\dfrac{-6\pm \sqrt{6^2-4(-16)(4)}}{2(-16)}[/tex]

[tex]t=\dfrac{-6\pm \sqrt{36+256}}{-32}[/tex]

[tex]t=\dfrac{-6\pm \sqrt{292}}{-32}[/tex]

[tex]t=-\dfrac{-6+ 17.088}{-32},\dfrac{-6+ 17.088}{-32}[/tex]

[tex]t=0.7215,-0.3465[/tex]

Time cannon be negative. So, at t=0.7215 the ball will hit the ground. Time taken by ball to hit the ground is

[tex]t=0.7215-0[/tex]

[tex]t=0.7215[/tex]

Round your answer to the nearest hundredth.

[tex]t\approx 0.72[/tex]

So, the ball will hit the ground after 0.72 seconds.

Therefore, the correct option is A.

Answer:

0.72

Step-by-step explanation:

I took the quiz

Answer:

Hi there

Your answer is

( 3,8 )

Step-by-step explanation:

3 units right means to add 3

4 units up means to add 4

(0+3, 4+4)

Answer:

(3,-3)

Step-by-step explanation:

you first add 3 to zero as your are going right on the x scale. then you subtract 4 since you are going up on the y scale.

Answer:

a bag of 10 oranges for $9.20

Step-by-step explanation:

5.88 divided by 6= 0.98 and 9.20 divided by 10=0.92 so $0.92 per orange is cheaper than $0.98 per orange.

Answer:

9(r - 5)(r - 1)

Step-by-step explanation:

9r^2 - 36r - 45

First, factor out 9

9(r^2 - 4r - 5)

Then you can factor what's inside the parentheses

9(r - 5)(r -1 )

Answer:

110000=p(1+0.019)^168

23.62p=110000

p=4660

credit: sqdancefan

Answer:

84330

Step-by-step explanation:

The compound interest formula gives the value of an investment.

 A = P(1 +r/n)^(nt)

where principal P is invested at annual rate r compounded n times per year for t years. Using your given values, we can solve for P.

 110,000 = P(1 +0.019/12)^(12·14)

 P = 110,000/(1 +0.019/12)^(12·14) ≈ 110,000/1.00158333...^168

 P ≈ 110,000/1.30446

 P ≈ 84326.04 ≈ 84,330 . . . . dollars

Answer:

x=8

7x=56

Step-by-step explanation:

Answer:

x=-3 and x=-2

Step-by-step explanation:

I wrote the math down

Answer:

i think its 61

srry if u get wrong

Step-by-step explanation:

Answer:

All non zero digits count in significant digits.

(a) is correct option.

Step-by-step explanation:

Given that,

1.4 has 2 significant digits.

We know that,

Significant digits :

All non zero digits count in significant digits.

All zero which is present in between two significant digits it is also significant.

Leading zero is not count as significant.

Trailing zero is count as significant.

We need to find 1.4 has 2 significant digits as a result of which rule

Using given rules

1.4 has 2 significant digits it is follows the rule of all non zero digits count in significant digits.

Hence, All non zero digits count in significant digits.

(a) is correct option.

Answer:

Step-by-step explanation:

Solve equation

Answer:

?????????

Step-by-step explanation:

???????????

Answer:

Natural numbers, because they consist of 1, 2, 3, etc...

Answer:

integers

Step-by-step explanation:

integers is what it is called

Answer:

Step-by-step explanation:

Given

Required inequality

Answer:

The second option (10 for 5.20) and a time that the wiser purchase may not be a better buy is when they live alone. 10 potatoes is not a reasonable amount.  

Step-by-step explanation:

Answer:

x=XV+12

Step-by-step explanation:

Answer:

6.7 inches

Step-by-step explanation:

the statue is 67 feet tall, and in the replica, every inch is 10 feet. All you would need to do is move the decimal point to the left by one point.

Answer:

x = - 0.5

Step-by-step explanation:

you have to simplify the equation so

[tex] - 2x - 10x + 12 = 18 \\ - 12x + 12 = 18 \\ - 12x = 18 - 12 \\ - 12x = 6 \\ x = \frac{6}{ - 12} \\ x = - 0.5[/tex]

Answer:

X= -1/2 Hope this helps <3

Step-by-step explanation:

Let's solve your equation step-by-step.

−2x−10x+12=18

Step 1: Simplify both sides of the equation.

−2x−10x+12=18

−2x+−10x+12=18

(−2x+−10x)+(12)=18(Combine Like Terms)

−12x+12=18

−12x+12=18

Step 2: Subtract 12 from both sides.

−12x+12−12=18−12

−12x=6

Step 3: Divide both sides by -12.

Answer:

[tex]\huge\boxed{7\ \text{inches}}[/tex]

Step-by-step explanation:

As I mentioned earlier with a single side (line), rotations do not change the size of something. Only dilations do that. This goes for both lines AND shapes.

However, if the question said she dilated the piece, then yes, the length in inches would be different. However, rotation just changes the position and nothing happens to the length.

Hope this helped!

Answer:

C. 125 + 120x = 180 + 110x

t = $5.5

Step-by-step explanation:

A.125t + 120 = 180t + 110

B. 120t + 110t = 125 + 180

C. 125 + 120t = 180 + 110t

D. 125 - 120t = 180 - 110t

Friday

$125 + 120t

Saturday

110t + 180

equate Friday and Saturday

125 + 120t = 110t + 180

Collect like terms

125 - 180 = 110t - 120t

-55 = -10t

Divide both sides by -10

t = -55 / -10

= 5.5

t = $5.5

Mark wants to fence 4 rectangular gardens. So we calculate the perimeter of the each garden by this formula

P = 2(L) + 2(W)

Total Length of the garden =

=

Length = 18.5 feet

Total width of the garden =

=

Width = 9.0 feet

Perimeter of the garden = 18.5 + 9 = 27.5 feet

Mark wants to fence 4 garden

Therefore, 27.5 × 4 = 110 feet.

Mark needs 110 ft. fencing to surround all 4 gardens.

Answer:

4 1/2 +1 1/2= 5 1/2

Step-by-step explanation

Answer:

Step-by-step explanation:

[tex]2x^2 - 52 + 2 = 0\\\\2x^2-50=0\\\\x^2-25=0\\\\x^2=25\\\\x=5\qquad\vee\quad\ x=-5[/tex]

Answer:

m<1 = 39

m<2 = 51

Step-by-step explanation:

For this problem, you need to understand that a little square in the bottom of two connecting lines represents a right-angle (an angle this 90 degrees).  This problem, gives you two relationships for angle 1 and angle 2 within a right-angle.  Using this information, we can solve for the measures of the two angles.

Let's write the two relations:

m< 1 = 3x

m< 2 = x + 38

And now let's right an equation that represents the two angles to the picture:

m<1 + m<2 = 90

Using this information, let's substitute the expressions we have for the two angles and solve for x.  Once we have the value of x, we can find the measure of the two angles.

m< 1 + m< 2 = 90

(3x) + (x + 38) = 90

3x + x + 38 = 90

x ( 3 + 1 ) + 38 = 90

x ( 4 ) + 38 = 90

4x + 38 = 90

4x + 38 - 38 = 90 - 38

4x = 90 - 38

4x = 52

4x * (1/4) = 52 * (1/4)

x = 52 * (1/4)

x = 13

Now that we have the value of x, we simply plug it back into our expressions for the m<1 and m<2.

m<1 = 3x = 3(13) = 39

m<2 = x + 38 = 13 + 38 = 51

And we can verify this is correct with the relational equation:

m<1 + m<2 = 90

39 + 51 ?= 90

90 == 90

Hence, we have found the values of m<1 and m<2.

Cheers.

Answer:

7/6 or 1.17

Step-by-step explanation:

i made them have a common denominator of 24 and simplified.

hope this is right and helps! :)

Answer:

C.

Step-by-step explanation:

3-3a+7<5

3a+7<2

3a>-5

a > [tex]\frac {5}{3}[/tex]

Answer:

262, 440

Step-by-step explanation:

40 x 3^8

40 x 6561

262, 440