3 years ago

Nikki saved 15% on a $100 purchase. How much did she pay

Mathematics

1 answer:

Gwar [14]3 years ago

3 0

NIKKI PAID A WHOPPING 85

SAVING 15

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Given the polynomial 2x3 + 18x2 − 18x − 162, what is the value of the coefficient 'k' in the factored form?2x3 + 18x2 − 18x − 16

s344n2d4d5 [400]

Answer:

$k=3$

Step-by-step explanation:

Let

$f(x)=2x^3+18x^2-18x-162$

We factor 2 to obtain;

$f(x)=2(x^3+9x^2-9x-81)$

We factor the polynomial within the parenthesis by grouping.

$f(x)=2(x^2(x+9)-9(x+9)$

$f(x)=2(x^2-9)(x+9)$

$f(x)=2(x^2-3^2)(x+9)$

We apply difference of two squares on the second factor: $x^2-3^2=(x-3)(x+3)$

$f(x)=2(x+3)(x-3)(x+9)$

We now compare to;

$f(x)=2(x+k)(x-k)(x+9)$

It is now obvious that $k=3$

6 0

3 years ago

Nineteen more than a number is less than 42

Lelechka [254]

We are trying to find the number that when added to 19, gives us less than 42. We can set up this simple inequality:

19 + x < 42

Now, subtract 19 from both sides:

x < 23

Our number can be anything less than 23.

4 0

3 years ago

Read 2 more answers

6. HOT AIR BALLOON А balloon rises<br>340 feet into the air. Then it descends<br>130 feet.

Nezavi [6.7K]

Now it is at 210 feet

7 0

2 years ago

Read 2 more answers

Use the drop-down menus to label the graph according to its type.

anastassius [24]

Answer:

relation ( but not a function)

Step-by-step explanation:

3 0

3 years ago

CORRECT ANSWER GETS BRAINLIEST

kati45 [8]

Answer:

2.5

Step-by-step explanation:

t = 0.25 $d^{1/2}$

Substitute d with 100

t = 0.25 x ( $100^{1/2}$ )

A number to the half power is equal to the square root of a number.

Square root of 100 is 10: $\sqrt{100} = 10$

t = 0.25*10

t = 2.5

Hope this helps :)

Have an awesome day!

7 0

2 years ago