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stira [4]
3 years ago
10

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
2 years ago
CORRECT ANSWER GETS BRAINLIEST
kati45 [8]

Answer:

2.5

Step-by-step explanation:

t = 0.25d^{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
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