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Vaselesa [24]
2 years ago
14

Factor completely x^2 + 8x + 15. O (x+3)(x+5) O (x+3)(x-5) O X+1)(x+15) O(x+1)(x-15)

Mathematics
1 answer:
Maksim231197 [3]2 years ago
3 0

Answer:

x<3 and x<5

Step-by-step explanation:

Given the quadratic inequality x² - 8x + 15 <0, to get the solution set for the inequality, the following steps must be followedStep 1: Factorize the quadratic expression

x² - 8x + 15 <0

x² - 3x - 5x + 15 <0

x(x - 3) - 5(x - 3)  <0

(x -3)(x -5)< 0

x -3<0 and x -5<0

x< 3 and x< 5

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Solve for c:<br><br><br><br> c + (-20) = -12
alexira [117]

Answer:

8

Step-by-step explanation:

Isolate and solve for C

c + (-20) = -12\\c - 20 = -12\\c = -12+20\\c = 8

6 0
3 years ago
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Buying a 30 dollar shirt for $30 and getting a second shirt of equal value for 50%off
Goshia [24]

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you saved 15 bucks if you get the second one

Step-by-step explanation:

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3 years ago
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Which function represents a reflection of f(x) = 5(0.8)x across the x-axis?
lukranit [14]

The function represents a reflection of f(x) = 5(0.8)x across the x-axis is f(x) = -5(0.8)^x

<h3>Reflection of functions and coordinates</h3>

Images that are reflected are mirror images of each other. When a point is reflected across the line y = x, the x-coordinates and y-coordinates change their position. In a similar manner, when a point is reflected across the line y = -x, the coordinates <u>changes position but are negated.</u>

Given the exponential function below

f(x) = 5(0.8)^x

If the function f(x) is reflected over the x-axis, the resulting function will be

-f(x)

This means that we are going to negate the function f(x) as shown;

f(x) = -5(0.8)^x

Hence the function represents a reflection of f(x) = 5(0.8)x across the x-axis is f(x) = -5(0.8)^x

Learn more on reflection here: brainly.com/question/1908648

#SPJ1

8 0
2 years ago
<img src="https://tex.z-dn.net/?f=2a%20%7B%20%7D%5E%7B2%7D%20b%20%7B%7D%5E%7B2%7D%20-%207ab%20-%2030" id="TexFormula1" title="2a
yarga [219]

Answer:

(ab - 6)(2ab + 5)

Step-by-step explanation:

Assuming you require the expression factorised.

2a²b² - 7ab - 30

Consider the factors of the product of the coefficient of the a²b² term and the constant term which sum to give the coefficient of the ab- term

product = 2 × - 30 = - 60 and sum = - 7

The factors are - 12 and + 5

Use these factors to split the ab- term

= 2a²b² - 12ab + 5ab - 30 ( factor the first/second and third/fourth terms )

= 2ab(ab - 6) + 5(ab - 6) ← factor out (ab - 6) from each term

= (ab - 6)(2ab + 5) ← in factored form

5 0
3 years ago
Evaluate the expression when c=9 and d=8. 4c+d<br><br><br><br><br>please help ​
guapka [62]

Answer:

44

Step-by-step explanation

4c + d

this is an expression and since they provided c and d it is easy to solve

c = 9 and d = 8. You need to plug in c and d into the expression to solve the problem.  

4(9) + (8)

4 times 9 is 36 so it leaves you with 36 + 8

36 + 8 = 44

I hope this helps but basically the concept is just plugging in the numbers in place of the variables. For future problems plug in the numbers given where the variables are.

7 0
3 years ago
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