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3 years ago

7

while teresa listened to the radio, there were 9minutes of commercials, 12 minutes of talk, and 29minutes of music what percent

of that time was music?

1 answer:

ahrayia [7]3 years ago

4 0

To find this, you'll want to divide the amount of music by the total amount of time. 29/(9+12+29) = 29/50 = 58/100 = 58%

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Solve the equation using square roots. x2 + 10 = 9

Oksana_A [137]

$x^2 + 10 = 9$

Subtract 10 from both sides.

$x^2 = -1$

Since the square of a number, x, equals a negative number, -1, the answer cannot be a real number because the square of a real number is always non-negative. Therefore, there is no real number solution to this equation.

Answer: <span>B. no real number solutions</span>

5 0

3 years ago

Find the equilibrium point for the pair of demand and supply functions. Here q represents the

olya-2409 [2.1K]

The equilibrium point for the pair of demand and supply function is 100

We have been two linear function, one is linear supply function and other is linear demand function.

In general , linear supply function is given as:

Qs = x + yP

Where , Qs = quantity supplied

x = quantity

P = price

And linear demand function is given is :

Qd = x + yP

Where , Qs = quantity supplied

x = quantity

P = price

According to the question,

Linear supply function is q = 300 + 5x

And linear demand function is q = 4800 – 40x

To find the equilibrium point we will put two quantities equal, that is,

Qs = Qd

300 + 5x = 4800 – 40x

5x + 40x = 4800 – 300

45x = 4500

x = 100

Hence the equilibrium point is 100

Learn more about equilibrium point here : brainly.com/question/1915798

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4 0

1 year ago

andreev551 [17]

Answer:

$\textsf{A)} \quad x=-2, \:\:x=\dfrac{5}{2}$

$\textsf{B)} \quad \left(\dfrac{1}{4},-\dfrac{81}{8}\right)=(0.25,-10.125)$

C) See attachment.

Step-by-step explanation:

Given function:

$f(x)=2x^2-x-10$

<h3><u>Part A</u></h3>

To factor a <u>quadratic</u> in the form $ax^2+bx+c$ <em> , </em>find two numbers that multiply to $ac$ and sum to $b$ :

$\implies ac=2 \cdot -10=-20$

$\implies b=-1$

Therefore, the two numbers are -5 and 4.

Rewrite $b$ as the sum of these two numbers:

$\implies f(x)=2x^2-5x+4x-10$

Factor the first two terms and the last two terms separately:

$\implies f(x)=x(2x-5)+2(2x-5)$

Factor out the common term (2x - 5):

$\implies f(x)=(x+2)(2x-5)$

The x-intercepts are when the curve crosses the x-axis, so when y = 0:

$\implies (x+2)(2x-5)=0$

Therefore:

$\implies (x+2)=0 \implies x=-2$

$\implies (2x-5)=0 \implies x=\dfrac{5}{2}$

So the x-intercepts are:

$x=-2, \:\:x=\dfrac{5}{2}$

<h3><u>Part B</u></h3>

The x-value of the vertex is:

$\implies x=\dfrac{-b}{2a}$

Therefore, the x-value of the vertex of the given function is:

$\implies x=\dfrac{-(-1)}{2(2)}=\dfrac{1}{4}$

To find the y-value of the vertex, substitute the found value of x into the function:

$\implies f\left(\dfrac{1}{4}\right)=2\left(\dfrac{1}{4}\right)^2-\left(\dfrac{1}{4}\right)-10=-\dfrac{81}{8}$

Therefore, the vertex of the function is:

$\left(\dfrac{1}{4},-\dfrac{81}{8}\right)=(0.25,-10.125)$

<h3><u>Part C</u></h3>

Plot the x-intercepts found in Part A.

Plot the vertex found in Part B.

As the <u>leading coefficient</u> of the function is positive, the parabola will open upwards. This is confirmed as the vertex is a minimum point.

The axis of symmetry is the <u>x-value</u> of the <u>vertex</u>. Draw a line at x = ¹/₄ and use this to ensure the drawing of the parabola is <u>symmetrical</u>.

Draw a upwards opening parabola that has a minimum point at the vertex and that passes through the x-intercepts (see attachment).

5 0

2 years ago

Fill in the table using this function rule y=-6x-2 -1,0,1,5

Sati [7]

Answer:

-1 = 4

0 = -2

1 = -8

5 = -32

Step-by-step explanation:

trust

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3 years ago

Brooklyn is arranging flowers along the front of her home. She has 40.27 square feet of planting space but has used 3.8 square f

Klio2033 [76]

Answer:

24 flowers

Step-by-step explanation:

40.27 - 3.8 = 36.47

36.47/1.5 = 24.313

4 0

3 years ago

Read 2 more answers