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erik [133]
3 years ago
11

[Inequalities] Please help and thanks. ONLY NEED TO ANSWER 15 AND 17!

Mathematics
2 answers:
PSYCHO15rus [73]3 years ago
4 0

Answer:

15)b<16

17)c>25

Step-by-step explanation:

15)b/4<4

Multiply both sides by 4. Since 4 is positive, the inequality direction remains the same.

b<4×4

Multiply 4 and 4 to get 16.

b<16

17)5c>125

5c>125

Divide both sides by 5. Since 5 is positive, the inequality direction remains the same.

c=125/5

Divide 125 by 5 to get 25.

c>25

ValentinkaMS [17]3 years ago
3 0

Answer:

15. b < 16

17. c (is greater than or equal to) 25

Step-by-step explanation:

i hope this helps :)

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According to a certain central bank from 2000 to 2016 the average price of a new home in a certain region increased by 62 % to $
Alla [95]

Answer:  $ 290 thousand

Step-by-step explanation:

Given : According to a certain central bank from 2000 to 2016 the average price of a new home in a certain region increased by 62 % to $470 thousand.

Let X be the the average price of a new home in 2000 .

Then , the 62 % increase in price is given by :-

x+0.62(x)=x(1+0.62)=1.62x

Since , the the average price of the home in 2016 = $470 thosand

1.62x=470\\\\\Rightarrow\ x=\dfrac{470}{1.62}=290.12345679\approx290

Hence, the average price of a new home in 2000 =  $ 290 thousand .

3 0
3 years ago
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
Guided Practice
3241004551 [841]

Answer: y( 1 - 7y2 + 15y7)

Step-by-step explanation:Just put () around the 1 threw 15 and put the y out  of the ()

5 0
3 years ago
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3 soccer balls and 5 more how many are there​
vodomira [7]

Answer:

8

Step-by-step explanation:

3+5=8

6 0
3 years ago
What is the parallel slope intercept form pls help?​
malfutka [58]
<h2>Answer:</h2>

If the line is parallel to the one given, their slopes are the same, so we need to find the y-intercept, then we can determine the slope-intercept form parallel to the given line.

-1 = 4(4) + b\\\\-1 = 16 + b\\\\-17 = b

Now that we have the y-intercept, we can create the equation.

y = 4x - 17

We can prove this by graphing both lines, like so.

8 0
3 years ago
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