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3 years ago

What is the expression in factored form?

Mathematics

2 answers:

Phantasy [73]3 years ago

5 0

Answer:

The correct answer is -9.4 (15 + 12.3)

Step-by-step explanation:

i took the quiz.

Nadya [2.5K]3 years ago

4 0

Answer:-256.62

Step-by-step explanation:

=−141+(12.3)(−9.4)

=−141+−115.62

=−256.62

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Bonita is testing prototype model rocket engines. To be considered a successful launch, the rocket must reach a height of at lea

galina1969 [7]

(0,33) and (4.8, 30.5) meet our mathematical conditions for this situation.

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4 years ago

The slope of the normal curve y=3x^2-5x is at the point (0,0)

Rufina [12.5K]

Answer:

$\frac{1}{5}$

Step-by-step explanation:

Consider the curve $y=3x^2-5x$

Differentiate with respect to $x$

$\frac{dy}{dx} =3(2x)-5=6x-5$

( Use $\frac{d}{dx}(x^n)=nx^{n-1}$ )

Slope of normal curve is given by $\frac{-1}{\frac{dy}{dx} }$

Slope of normal curve = $\frac{-1}{6x-5}$

To find slope of normal curve at point $(0,0)$ ,put $x=0$ in $\frac{-1}{6x-5}$

Slope of normal curve at point $(0,0)$ = $\frac{-1}{6(0)-5} =\frac{-1}{-5}=\frac{1}{5}$

8 0

3 years ago

A)find mode:2,4,6,8,6,4,2,4,2,4,6,6,4<br>B)If A= {0,1,2,3,4} find n(A)

Citrus2011 [14]

The answer for the question Mode and number of A is

4 0

3 years ago

Hamburger Hut sells regular hamburgers as well as a larger burger. Either type can include cheese, relish, lettuce, tomato, must

Studentka2010 [4]

Answer:

a) 40 different hamburgers can be ordered with exactly three extras

b) 20 different regular hamburgers can be ordered with exactly three extras

c) 7 different regular hamburgers can be ordered with at least five extras

Step-by-step explanation:

The order in which the extras are ordered is not important. So we use the combinations formula to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this problem:

2 options of hamburger(regular or larger)

6 options of extras(cheese, relish, lettuce, tomato, mustard, or catsup.).

(a) How many different hamburgers can be ordered with exactly three extras?

1 hamburger type, from a set of 2.

3 extras, from a set of 6. So

$C_{2,1}*C_{6,3} = \frac{2!}{1!(2-1)!}*\frac{6!}{3!(6-3)!} = 2*20 = 40$

40 different hamburgers can be ordered with exactly three extras

(b) How many different regular hamburgers can be ordered with exactly three extras?

3 extras, from a set of 6. So

$C_{6,3} = \frac{6!}{3!(6-3)!} = 20$

20 different regular hamburgers can be ordered with exactly three extras

(c) How many different regular hamburgers can be ordered with at least five extras?

Five extras:

5 extras, from a set of 6. So

$C_{6,5} = \frac{6!}{5!(6-5)!} = 6$

Six extras:

6 extras, from a set of 6. So

$C_{6,6} = \frac{6!}{6!(6-6)!} = 1$

6 + 1 = 7

7 different regular hamburgers can be ordered with at least five extras

8 0

3 years ago

The height of water shooting from a fountain is modeled by the function f(x) = −4x2 + 24x − 29, where x is the distance from the

Komok [63]

Answer:

the maximum height of the water is 7 ft

Step-by-step explanation:

Using " ^ " to indicate exponentiation, we have −4x^2 + 24x − 29.

Rewrite -4x^2 + 24x as -4(x^2 - 6x) and then complete the square of (x^2 - 6x). We get:

(x^2 - 6x + 9 - 9), which is exactly equivalent to (x^2 - 6x).

Going back to the original equation: −4x^2 + 24x − 29, or

−4(x^2 - 6x) − 29.

Now replace (x^2 - 6x) with (x^2 - 6x + 9 - 9):

-4(x^2 - 6x + 9 - 9) - 29, which simplifies to:

-4(x - 3)^2 + 36 - 29, or

-4(x - 3)^2 + 7, whose vertex is (3, 7). Thus, the maximum height of the water is 7 ft.

6 0

3 years ago