Ask question

Ask question

All categories

3 years ago

13

Simon Wu's deposit includes two checks: $123.45 and $432.90; cash: 3 one-dollar bills, 9 five-dollar bills, 5

1 answer:

creativ13 [48]3 years ago

5 0

Answer:

ummm idk

Step-by-step explanation:

You might be interested in

Solve for x:a(a²+b²)x²+b²x-a

m_a_m_a [10]

Answer:

x = a/(a² + b²) or x = -1/a

Step-by-step explanation:

a(a²+ b²)x² + b²x - a =0

Use the quadratic equation formula:

$x = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a} =\dfrac{-b\pm\sqrt{D}}{2a}$

1. Evaluate the discriminant D

D = b² - 4ac = b⁴ - 4a(a² + b²)(-a) = b⁴ + 4a⁴ + 4a²b² = (b² + 2a²)²

2. Solve for x

$\begin{array}{rcl}x & = & \dfrac{-b\pm\sqrt{D}}{2a}\\\\ & = & \dfrac{-b^{2}\pm\sqrt{(b^{2}+2a^{2})^{2}}}{2a(a^{2} + b^{2})}\\\\ & = & \dfrac{-b^{2}\pm(b^{2}+ 2a^{2})}{2a(a^{2} + b^{2})}\\\\x = \dfrac{-b^{2}+(b^{2} + 2a^{2})}{2a(a^{2} + b^{2})}&\qquad& x =\dfrac{-b^{2}-(b^{2} + 2a^{2})}{2a(a^{2} + b^{2})}\\\\x =\dfrac{-b^{2}+(b^{2} + 2a^{2})}{2a(a^{2} + b^{2})}&\qquad& x =\dfrac{-b^{2}-(b^{2} +2a^{2})}{2a(a^{2} + b^{2})}\\\\\end{array}$

$\begin{array}{rcl}x = \large \boxed{\mathbf{\dfrac{a}{a^{2} + b^{2}}}}&\qquad& x =\dfrac{-b^{2}-(b^{2} +2a^{2})}{2a(a^{2} + b^{2})}\\\\&\qquad& x =\dfrac{-2b^{2}- 2a^{2}}{2a(a^{2} + b^{2})}\\\\&\qquad& x =\dfrac{-2(a^{2}+ b^{2})}{2a(a^{2} + b^{2})}\\\\&\qquad& x =\large \boxed{\mathbf{-\dfrac{1}{a}}}\\\\\end{array}$

5 0

3 years ago

The temperature in a city was recorded over a ten-hour period. The graph below shows the relationship between the temperature an

harkovskaia [24]

Answer:

A

Step-by-step explanation:

From the graph, we can see that the <em>temperature increased initially</em>, then <em>started to decrease</em>. <u>All of these NOT in a constant rate, though</u>.

Roughly, the temperature was increasing from start till around 5.5 hours. Then on the temperature decreased.

So we can eliminate B, C, and D. That leaves us with correct answer as A.

5 0

2 years ago

the area of a square whose sides have length x cm is increasing at the rate of 12cm²/s. how fast is the length of a side increas

katovenus [111]

Answer:

0.67 cm/s

Step-by-step explanation:

The area of a square is given by :

$A=x^2$ ....(1)

Where

x is the side of a square

$\dfrac{dA}{dt}=12\ cm^2/s$

Differentiating equation (1) wrt t.

$\dfrac{dA}{dt}=2x\times \dfrac{dx}{dt}$

When A = 81cm², the side of the square, x = 9 cm

Put all the values,

$12=2\times 9\times \dfrac{dx}{dt}\\\\\dfrac{dx}{dt}=\dfrac{2}{3}\\\\\dfrac{dx}{dt}=0.67\ cm/s$

So, the length of the side of a square is changing at the rate of 0.67 cm/s.

4 0

2 years ago

Type the correct answer in the box. x y 3 10 20 In the table, the relation (x, y) is not a function if the missing value of x is

yan [13]

The relation is <em>not a function</em> if any x-value is repeated.

Assuming you have

(x, y) = (3, 10), (__, 20)

if x = 3, the relation is not a function.

3 0

3 years ago

Read 2 more answers

Find each difference. Write in simplest form 7/8-5/8=

Ivanshal [37]

7/8-5/8= 2/8 and if you reduce 2/8 by 2 it becomes 1/4. So 1/4 is your answer. Hope This Helps :D

5 0

3 years ago