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3 years ago

How do you solve 2r^2+2r-24=0 using the quadratic formula ?

1 answer:

kramer3 years ago

7 0

2r2+2r−24=0

Step 1: Factor left side of equation.

2(r−3)(r+4)=0

Step 2: Set factors equal to 0.

r−3=0 or r+4=0

r = 3 or r = −4

You might be interested in

The company prides itself in the fact that 4 out of 5 employees have computer training. How many of the 300 employees have compu

Alexxx [7]

Answer:

4/5x where x is 300 and 1/5 of 300 is 60 and 4/5 is 4 times 60 so 240

5 0

2 years ago

Find the Area of the figure below, composed of a rectangle and a semicircle. Round to

chubhunter [2.5K]

Answer:

Area = 74.1 square units

Step-by-step explanation:

Area of the composite figure = Area of the rectangle + Area of the semicircle

Area o the rectangle = Length × Width

= 10 × 6

= 60 square units

Area of the semicircle = $\frac{1}{2}\pi r^{2}$

Here, r = radius of the semicircle

For the semicircle with radius = $\frac{6}{2}$ = 3 units

Area = $\frac{1}{2}\pi (3)^{2}$

= 4.5π

= 14.14 units²

Total area of the composite figure = 60 + 14.14

= 74.14 square units ≈ 74.1 square units

3 0

3 years ago

The average American spent $8,508 on health care in 2011. The cost of health care is projected to rise about 5.8% per year for t

klio [65]

<h3>The projected amount the average American spent on health care in 2014 is $ 10075.91</h3>

Solution:

Given that,

The average American spent $8,508 on health care in 2011

The cost of health care is projected to rise about 5.8% per year for the years 2012-2022

The increasing function is given as:

$y = a(1+r)^t$

Where,

y is future value

a is initial value

r is growth rate in decimal

t is number of years

From given,

a = 8508

$r = 5.8 \% = \frac{5.8}{100} = 0.058$

t = 2011 to 2014 = 3 years

Substituting the values, we get,

$y = 8508(1 + 0.058)^3\\\\y = 8508(1.058)^3\\\\y = 8508 \times 1.1842\\\\y = 10075.914 \approx 10075.91$

Thus the projected amount the average American spent on health care in 2014 is $ 10075.91

4 0

4 years ago

Identify the range of the function shown in the graph.

alukav5142 [94]

The range of a function is all possible y values that a function can take on.

In the case of the given function, the y values fluctuate between -1 and 1. Therefore, the range of the function is -1 <= y <= 1 (Option A).

Hope this helps!

3 0

2 years ago

Compare the expression 8×3+4 and 8×(3+4)

adelina 88 [10]

This is a lesson in order of operations...

PEMDAS- parentheses, exponents, multiplication, division, addition, and subtraction... That is the order in which you have to proceed during any math problem..

Your question gives an excellent example of why.

8x3+4=
in this question, we would do multiplication then addition for the answer...

24 + 4 = 28

Now the other one

8 x (3+4) =
in this expression, we would do what is inside the parentheses first, the addition. Then we would multiply...

8x 7 = 56

You see we have the same numbers and we are performing the same operations, but the difference is in the order that we perform them. As you can see it does make a difference because we get a different result.

28 vs 56

6 0

3 years ago