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3 years ago

Which of the following represents the zeros of f(x) = 6x3 + 25x2 − 24x + 5?

Mathematics

1 answer:

cestrela7 [59]3 years ago

7 0

F(-5) = 6(-5)^3 + 24(-5)^2 - 24(-5) + 5 = 0
so x = -5 is one zero.

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The average weight of the class of 35 students was 45 KG. with the admission of a new student the average weight came down to 44

melamori03 [73]

The weight of the new student is 27 kg.

Average weight

= total weight ÷total number of students

<h3>1) Define variables</h3>

Let the total weight of the 35 students be y kg and the weight of the new student be x kg.

<h3>2) Find the total weight of the 35 students</h3>

y= 35(45)

y= 1575 kg

<h3>3) Write an expression for average weight of students after the addition of the new student</h3>

New total number of students

= 35 +1

= 36

Total weight

= total weight of 35 students +weight of new students

= y +x

$44.5 = \frac{y + x}{36}$

<h3>4) Substitute the value of y</h3>

$44.5 = \frac{1575 + x}{36}$

<h3>5) Solve for x</h3>

36(44.5)= 1575 +x

1602= x +1575

<em>Subtract 1575 from both sides:</em>

x= 1602 -1575

x= 27

Thus, the weight of the new student is 27 kg.

7 0

3 years ago

There are 1265 students at Cypress Middle School. 42% of the students are enrolled in PE. Which equation could be used to repres

Dovator [93]

Answer:

0.42* 1265=x

Step-by-step explanation:

There are 1265 students in Cypress Middle School. So we already know one part of the equation. 42% of these students are in PE. So we know that 42% of these 1265 students are in PE. Of these means you probably have to multiply 42% and 1265. 42% = 0.42. So to write an equation we take the 0.42 and 1265 and put it together. Therefore, 0.42 times 1265=x.

7 0

3 years ago

Give the largest interval over which the general solution is defined. (Think about the implications of any singular points. Ente

Leto [7]

Complete Question

The complete question is shown on the first uploaded image

Answer:

No singular point due to the exponent in the solution

The interval is $-\infty$

NONE

Step-by-step explanation:

From the question we are told that

$\frac{dy}{dx} = 9y$

The generally solution is mathematically represented as

$\frac{dy }{dx} = 9y$

=> $\frac{dy}{y} = 9dx$

integrating both sides

$\int\limits {\frac{ dy}{y} } \, = \int\limits {9} \, dx$

=> $lny = 9x + c$

=> $y = e^{9x +c }$

=> $y = e^{9x} e^{c}$

Here $e^c = C$

=> $y = C e^{9x}$

From the above equation we see that the domain for x has no singular point the interval is

$-\infty$

Also there is no transient term in the general solution obtained because as $x \to \infty$ there no case where $y \to 0$

7 0

3 years ago

Which choice is equivalent to the expression below √-12

kondaur [170]

Answer:

Step-by-step explanation:

using the rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$ , hence

$\sqrt{-12}$

= $\sqrt{4(3)(-1)}$ = $\sqrt{4}$ × $\sqrt{3}$ × $\sqrt{-1}$ [ $\sqrt{-1}$ = i]

= 2i $\sqrt{3}$ → E

7 0

3 years ago

Read 2 more answers

Write the expression in standard form. <br><br> 27ℎ ÷ 3ℎ

Andrews [41]

Answer:

I think 9h

Step-by-step explanation:

Since both variable are the same, you can divide the numbers. 27/3=9. Add back in the variable, and the answer would be 9h. That's how I would solve it at least

6 0

3 years ago