All categories

3 years ago

If an area of a rectangle is 56 cm. The length is 2 cm more than x. And the width is 5 cm less than twice the length. What is x

1 answer:

8 0

A=(x+2)(2x+4-5)

A=(x+2)(2x-1)

A=2x^2-x+4x-2

A=2x^2+3x-2, and A=56 so

2x^2+3x-2=56

2x^2+3x=58

x^2+1.5x=29

(x+0.75)^2=29.5625

x+0.75=±√29.5625

x=-0.75+√29.5625 (only the positive root is valid as dimensions must be positive)

x≈4.69 (to nearest one-hundredth)

You might be interested in

The cost in dollars of an order of deli meat is a function of its weight W in pounds. The function C(W) outputs the cost C of an

Arturiano [62]

It would be C. The cost 1.5 pounds of meat is $9.00

7 0

4 years ago

If f(x)=x^2find f(2)-f(0)/2

alukav5142 [94]

Answer:

Step-by-step explanation:

On the picture above.

8 0

3 years ago

Work out 7/10 + 8/15 is. Give your answer as a mixed number in its simplest form.

san4es73 [151]

Answer:

$1\frac{7}{30}$

Step-by-step explanation:

$\frac{7}{10}+\frac{8}{15}\\ \\ \frac{21}{30}+\frac{16}{30}\\\\\frac{37}{30}\\\\1\frac{7}{30}$

6 0

3 years ago

Read 2 more answers

Suppose that the bacteria in a colony grow unchecked according to the Law of Exponential Change. The colony starts with 1 bacter

inn [45]

Answer: There are 2.25×10³⁴ bacteria at the end of 24 hours.

Step-by-step explanation:

Since we have given that

Number of bacteria initially = 1

It triples in number every 20 minutes.

So, $\dfrac{20}{60}=\dfrac{1}{3}$

So, our equation becomes

$y=y_0e^{\frac{1}{3}k}\\\\3=1e^{\frac{1}{3}k}\\\\\ln 3=\dfrac{1}{3}k\\\\k=\dfrac{1.099}{0.333}=3.3$

We need to find the number of bacteria that it will contain at the end of 24 hours.

So, it becomes,

$y=1e^{24\times 3.3}\\\\y=e^{79.1}\\\\y=2.25\times 10^{34}$

Hence, there are 2.25×10³⁴ bacteria at the end of 24 hours.

3 0

3 years ago

Complete 8,9 for 5-8 points.

AysviL [449]

Step-by-step explanation:

8. Let's call the number x. We can set up the equation -3x - 5 = -10. Adding 5 to both sides, we have -3x = -5, and when we divide both sides by -3, we have x = 5/3.

9. Again, we'll call the number x. The equation is 2x - 3 = -13. We can write -3 instead of +(-3) because adding a negative number is the same as subtracting. Adding 3 to both sides, we have 2x = -10, and dividing bu -2, we have x = -5. Hope this helps!

7 0

3 years ago