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4 years ago

6

To rent a certain meeting room, a college charges a reservation fee of

1 answer:

hammer [34]4 years ago

5 0

T = # of hours
Make inequality: 6.6t + 41 < 87.2
Subtraction: 6.6t < 46.2
Divide: t < 7
That means that the chemistry club can use the meeting room for less than 7 hours.

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What is the slope of (-2, -1) and (-5, -9)

djyliett [7]

8/3 pretty sure that’s the answer

5 0

3 years ago

A regression analysis between sales (y in $1000) and advertising (x in dollars) resulted in the following equation y = 50,000 +

Vikentia [17]

Answer:

D. increase of $1 in advertising is associated with an increase of $6,000 in sales.

Step-by-step explanation:

Every dollar in advertisting is multiply by 6 in the equation, but every unit in y represent $1000. That means that $1 1n advertisting is multiply by 6 and then by $1000, that is $1 in advertisting = $6000 in sales.

4 0

3 years ago

2. Factor f(x) = x4 + 10x3 + 35x2 + 50x + 24 completely showing all work and steps with synthetic division. Then sketch the grap

telo118 [61]

We need to use rational root theorem to find out roots here.

The rational root theorem states that if p(x) is a polynomial with integer coefficients and if $\frac{p}{q}$ is a zero of p(x) then p is a factor of constant term and q is a factor of leasing term coefficient.

Here factors of constant term are 1,2,3,4,6,8,12,24,-1,-2,-3,-4,-6,-8,-12, and -24.

And factors of leading coefficient is -1,1.

Hence possible roots may be -1,1,-2,2,-3,3,-4,4,-6,6,-8,8,-12,12,-24 and 24.

Let us plugin these in f(x) to find zeroes.

$f(-1)=(-1)^{4}+10(-1)^{3}+35(-1)^{2}+50(-1)+24 =1-10+35-50+24=0$

Hence x=-1 is a zero which means x-(-1)=x+1 is a factor.

Let us use synthetic division to find quotient.

-1 | 1 10 35 50 24

<u>| 0 -1 -9 -26 -24</u>

<u> 1 9 26 24 0</u>

Hence quotient is $x^{3} +9x^{2} +26x+24$

Since all coefficients are positive, root must be negative. Let's plugin all remaining negative numbers in the quotient.

$(-2)^{3}+9(-2)^{2}+26(-2)+24 = 0$

Hence x+2 is another factor.

Let us find quotient again using synthetic division.

-2 | 1 9 26 24

<u>| 0 -2 -14 -24</u>

<u> 1 7 12 0</u>

Hence quotient is $x^{2} +7x+12$

Again we got quotient with all positive coefficients, let us plugin remaining negative numbers from rational root theorem.

$(-3)^{2}+7(-3)+12=-9-21+12=0$

Hence x+3 is also a factor.

Let us find quotient using synthetic division.

-3 | 1 7 12

<u>| 0 -3 -12</u>

<u> 1 4 0</u>

Hence quotient is x+4.

So, $f(x)=x^{4}+10x^{3}+35x^{2}+50x+24 =(x+1)(x+2)(x+3)(x+4)$

Please have a look at the graph attached.

4 0

3 years ago

How do I confirm that f and g are inverses?

Anestetic [448]

Answer:

see explanation

Step-by-step explanation:

To show f and g are inverses we require to show that

f(g(x)) = x and g(f(x)) = x

f(g(x))

= f(6x - 4)

= $\frac{6x-4+4}{6}$ = $\frac{6x}{6}$ = x

-----------------------------------------------------------------------------

g(f(x))

= g( $\frac{x+4}{6}$ )

= ( 6 × $\frac{x+4}{6}$ ) - 4

= x + 4 - 4 = x

-------------------------------------------------

Hence f and g are inverses

4 0

4 years ago

Please help me fast.

Kaylis [27]

This could be written as y= -2x+6 in standard form

7 0

3 years ago