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2 years ago

If 9 is added to a number x the result is greater than 17. Find the range of values of x

Mathematics

1 answer:

Murljashka [212]2 years ago

8 0

The solution of inequality shows that the range is x >8.

<h3>Domain and Range </h3>

The domain of a function is the set of input values for which the function is real and defined. In the other words, when you define the domain, you are indicating for which values x the function is real and defined.

While the domain is related to the values of x, the range is related to the possible values of y that the function can have.

<h3>Inequalities</h3>

Inequality is a mathematical expression that does not present equality between both sides. It is represented by symbols: <, ≤, > and ≥.

For solving this question, you should convert the text of the problem into an algebraic expression. Consequently, you will have:

x+9 > 17

x > 17-9

x > 8

Therefore, the range is x>8.

Learn more about the range here:

brainly.com/question/10197594

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$y=x^2+8x+15$

Intercept form is y= (x+5)(x+3)

vertex is (-4,1)

y intercept is (0,15)

x intercepts are (-5,0) (-3,0)

Step-by-step explanation:

Given quadratic function

$y=(x+4)^2-1$

To rewrite it in standard form we need to expand (x+4)^2

$y=(x+4)(x+4)-1$

$y=x^2+8x+16-1$

$y=x^2+8x+15$

Intercept form is y=a(x-p)(x-q)

Factor x^2 + 8x + 15

product is 15 and sum is 8, 5*3= 15 and 5+3=8

(x+5)(x+3)

Intercept form is y= (x+5)(x+3)

Vertex form of equation is y=(x-h)^2+k

where (h,k) is the vertex

$y=(x+4)^2-1$ , here h = -4 and k =1 so vertex is (-4,1)

To find y intercept plug in 0 for x

y= (x+5)(x+3)

y= (0+5)(0+3) = 15, so y intercept is (0,15)

to find x intercept plug in 0 for y

y= (x+5)(x+3)

0= (x+5)(x+3), x+5 =0 and x+3=0

x=-5 and x= -3

So x intercepts are (-5,0) (-3,0)

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3 years ago