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3 years ago

What are the zeros of this function?

Mathematics

1 answer:

fiasKO [112]3 years ago

6 0

Answer:

x =0 and x = 4

Step-by-step explanation:

It is a quadratic function and hence will have two roots. It cuts graph at 2 points( x - axis ). Hence has two roots.

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I theater sells tickets for a concert. Tickets for lower-level seats sell for $35 each and tickets for upper-level seats sell fo

lora16 [44]

Let X= the number of tickets sold at $35 each

Let 350 -X = the number of tickets sold at $25 each

The number of tickets sold for each type will be computed as follows:

X(35)+(350-X)25=10250

35X+8750-25X=10250

10X=10250-8750

X=1500/10

X=150 the number of tickets sold at $35 each

350-150 the number of tickets sold at $25 each

To recheck:

150(35)+200(25)

5250+5000

10250

7 0

3 years ago

Write the given second order equation as its equivalent system of first order equations. u′′−5u′−4u=1.5sin(3t),u(1)=1,u′(1)=2.5

lakkis [162]

Answer:

hi your question options is not available but attached to the answer is a complete question with the question options that you seek answer to

Answer: v = 5v + 4u + 1.5sin(3t),

1.5sin(3t)

Step-by-step explanation:

u" - 5u' - 4u = 1.5sin(3t) where u'(1) = 2.5 u(1) = 1

v represents the "velocity function" i.e v = u'(t)

As v = u'(t)

<em>u' = v</em>

since <em>u' = v </em>

v' = u"

v' = 5u' + 4u + 1.5sin(3t) ( given that u" - 5u' - 4u = 1.5sin(3t) )

= 5v + 4u + 1.5sin(3t) ( noting that v = u' )

so v' = 5v + 4u + 1.5sin(3t)

d/dt $\left[\begin{array}{ccc}u&\\v&\\\end{array}\right]$ = $\left[\begin{array}{ccc}0&1&\\4&5&\\\end{array}\right]$ $\left[\begin{array}{ccc}u&\\v&\\\end{array}\right]$ + $\left[\begin{array}{ccc}0&\\1.5sin(3t)&\\\end{array}\right]$

Given that u(1) = 1 and u'(1) = 2.5

since v = u'

v(1) = 2.5

note: the initial value for the vector valued function is given as

$\left[\begin{array}{ccc}u(1)&\\v(1)\\\end{array}\right]$ = $\left[\begin{array}{ccc}1\\2.5\\\end{array}\right]$

7 0

3 years ago

Given the function f(x) = -5|x + 11 + 3, for what values of x is f(x) =-12?

tino4ka555 [31]

Answer:

2x^2+13x-10

Step-by-step explanation:

4 0

3 years ago

Estimate the square root of 50 to the hundredths place

Anarel [89]

We have the following expression:
root (50)
Rewriting we have:
root (50) = root (2 * 25)
root (2 * 25) = 5 * root (2)
5 * root (2) = 7.071067812
Round to the hundredths place:
root (50) = 7.07
Answer:
the square root of 50 to the hundredths place is:
7.07

5 0

3 years ago

Read 2 more answers

A ball is thrown upward with an initial velocity of 96 ft/sec from a height 640 ft. Its height h, in feet, after t seconds is

olchik [2.2K]

Check the picture below.

thus is at 0 = -16t² + 96t +640,

$\bf 0=-16t^2+96t+640\implies 0=-16(t^2-6t-40)
\\\\\\
0=t^2-6t-40\implies 0=(t-10)(t+4)\implies t=
\begin{cases}
\boxed{10}\\
-4
\end{cases}$

well, clearly it can't be a negative value for the elapsed seconds, so it can't be -4.

5 0

3 years ago