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3 years ago

Find real or imaginary solutions of x^4-10x^2=-9

1 answer:

6 0

This resembles a quadratic and we can factor it using that pattern.

$(x^2)^2-(10x^2)+9=0$

$(x^2-9)(x^2-1)$

$(x+3)(x-3)(x+1)(x-1)=0$

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The wildflowers at a national park have been decreasing in numbers. There were 1200 wildflowers in the first year that the park

bonufazy [111]

Year New flowers

1 1200

2 300

3 75

There were 1200 wildflowers in the first year that the park started tracking them. Since then, there have been one fourth as many new flowers each year

Initially there are 1200 flowers and start decreasing by $\frac{1}{4}$

So first term is 1200 and common ratio is $\frac{1}{4}$ .

Its a geometric sequence so summation becomes

i =1∑ ∞ 1200( $\frac{1}{4})^{i-1}$

Now we find the sum

We use sum formula

$Sum = \frac{a}{1-r}$

Where a is the first term , a= 1200

r is the common ratio , r= 1/4

$Sum = \frac{1200}{1-(\frac{1}{4})}$

$Sum = \frac{1200}{\frac{3}{4}}$

Sum = 1600 wildflowers

4 0

3 years ago

If the radius of the base is 2, and the height is 4, what is the volume of the cylinder?

MAVERICK [17]

givens
pi = 3.14
r = 2
h = 4

Formula
v = pi r^2 h

Sub and Solve
V = 3.14 * 2^2 * 4
V = 3.14 * 4 * 4
V = 3.14 * 16
V = 50.24

4 0

3 years ago

Read 2 more answers

If fx()=8-10x and g(x)=5x+4, what is the value of (fg)(-2)

lyudmila [28]

So, we are looking for F of G of 2. So, we need to work backwards and find G(x) first.

$g(-2)=5(-2)+4\\g(-2)=-6$

So we know that g(-2) = -6, now we take thatt -6 and plug in into f(x)

$f(g(-2))=f(-6)\\f(-6)=8-10(-6)\\f(-6)=8+60\\f(-6)=68$

68 is the answer

7 0

2 years ago

Using coupons, you spend $120 grocery shopping. This is 80% of the total retail price of the groceries. How much would you spend

mr Goodwill [35]

Answer: The correct answer is $150.

Step-by-step explanation: If you did not use the coupons while shopping you would have spent $150. The method to calculate this is to divide the amount that you paid by the percentage that you paid.

The formula that you need to use is $120/.8 = $150.

7 0

2 years ago

How do you convert a radical expression to a rational exponent and vice versa?

krok68 [10]

Take the expression x^2/3 which has an exponent of 2/3. The top of the fraction refers to the power - that is x^2 ( x squared). and the 3 indicates a cubic root.

So in radical form it is ∛(x^2)

Converting radical to exponent an example would be

∛(x^5) = x^(5/3)

5 0

3 years ago