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3 years ago

Can someone please help me with this?

Mathematics

1 answer:

Jet001 [13]3 years ago

3 0

Answer: Make an equation explaining how blue fire hydrant "b" relates to green fire hydrant "g". Once you have your equation choose the one on the multiple choice that matches your work.

Step-by-step explanation:

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in 1998 your house cost $82,400. in 2000 your house was valued at $102,650. how much did the value of your home increase?

kow [346]

What you do is - 82400 from 102650 and you should get your answer

3 0

3 years ago

Find number a and k so that x-2 is afactor<br>OF F(x)=x4-2ax tax-<br>X+k and F(-1)=3

Slav-nsk [51]

Question:

Find numbers a and k so that x-2 is a factor of

$f(x)=x^4-2ax^3+ax^2- x+k$

and

$f(-1)=3$

Answer:

$k = -2$ and $a=1$

Step-by-step explanation:

Given

$f(x)=x^4-2ax^3+ax^2- x+k$

$Factor:\ x - 4$

$f(-1)=3$

Required

Find a and k

For $f(-1)=3$

Substitute -1 for x

$f(x)=x^4-2ax^3+ax^2- x+k$

$f(-1) = (-1)^4 - 2a *(-1)^3 + a*(-1)^2 - (-1) + k$

$f(-1) = 1 - 2a *-1 + a*1 +1 + k$

$f(-1) = 1 +2a + a +1 + k$

$f(-1) = 2 +3a + k$

Substitute 3 for f(-1)

$3 = 2 +3a + k$

Collect Like Terms

$3 - 2 = 3a + k$

$1 = 3a + k$

Also:

If $x - 2$ is a factor, then

$f(2) = 0$

Substitute 2 for x and 0 for f(x)

$f(x)=x^4-2ax^3+ax^2- x+k$

$0 = 2^4 - 2a * 2^3 + a * 2^2 - 2 + k$

$0 = 16 - 2a * 8 + a * 4 - 2 + k$

$0 = 16 - 16a + 4a - 2 + k$

$0 = 16 - 12a - 2 + k$

Collect Like Terms

$2 - 16 = - 12a + k$

$-14 = k - 12a$

$k = 12a - 14$

Substitute 12a - 14 for k in $1 = 3a + k$

$1 = 3a + 12a - 14$

$1 = 15a - 14$

Collect Like Terms

$15a = 1 + 14$

$15a = 15$

Solve for a

$a = \frac{15}{15}$

$a=1$

Substitute 1 for a in $k = 12a - 14$

$k = 12 * 1 - 14$

$k = 12 - 14$

$k = -2$

3 0

3 years ago

Melissa has $100 in the bank. She plans to deposit $40 per week until she reaches $500. What is the rate of change? Explain what

Wewaii [24]

Answer:

$40 per week

Step-by-step explanation:

Step one:

Given data

the initial amount is = $100

the total amount= $500

let the number of weeks be x

Step two:

The expression for the scenario is

$500= 100+40x-------1$

From the expression above, the rate of the change is $40 per week.

this means that in every week the account will be increased by $40

5 0

2 years ago

A snow globe with a radius of 2 cm. Find the volume of the globe.

sp2606 [1]

The approximate volume is 33.5103217
The exact volume is 32/3cm
so the answers would be 32/3 or 33.49

3 0

3 years ago

A blueprint for a house has a scale of 1:10. A wall in the blueprint is 8 in. What is the length of the actual wall?

SashulF [63]

You can remove your cofusion regarding wall in the blue print whether to be cosidered in inch or ft , be sure, it has to be in inches to be considered , with the scale of 1: 10 and specific mention of length of the wall 8 in , we have to cosider length of wall : 8 inch x 10 inch / 1 scale = 80 inches ( and not 80 ft ) , and in terms of ft it would be = 80 inches / 12 inches per ft = 6.6666 ft

8 0

3 years ago