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ddd [48]
1 year ago
15

Identify ALL solutions to the inequality. There could be more than one selection.

Mathematics
2 answers:
Phantasy [73]1 year ago
7 0

Answer:

-3 and 0

Step-by-step explanation:

the inequality states that 11 is greater than x. That means anything less than 11 can be x

-3 is less than 11 so that can be x

0 is less than 11 so that can be it.

11 is 11 and x is not equal to 11, so that’s not the answer

16 is greater than 11 so it can’t be x

ser-zykov [4K]1 year ago
3 0

Answer:

Step-by-step explanation:

-3 or 0

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The values in the table below represent Function B, which is a linear function.
yan [13]
<h3>1. Compare Functions B and L by determining which one has the greater rate of change.</h3>

The rate of change is expressed as the ratio between a change in one variable relative to a corresponding change in another. On the other hand, a linear function is given as the form:

y=mx+b

And m is the rate of change we are looking for. For Function B we have a Table and the slope can be found by choosing two points, therefore:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ Choosing \ (1,5) \ and \ (3,11) \\ \\ m=\frac{11-5}{3-1}=3

As you can see y=6x+4 has a rate of change of 6 while the function of the table has a rate of change of 3.

<em> In conclusion,</em> y=6x+4 <em>has the greater rate of change</em>

<h3>2. which one has a greater y-intercept?</h3>

We need to get the equation that rules the points given on the table. Two-Point Form of the Equation of a Line is:

y-y_{1}=m(x-x_{1}) \\ \\ We \ know \ m=3 \\ \\ y-5=3(x-1) \therefore y-5=3x-3 \therefore y=3x+2

As you can see y=6x+4 has a y-intercept of b=4 while the function of the table has a y-intercept of b=2

<em> In conclusion,</em> y=6x+4 <em>also has the greater y-intercept</em>

6 0
4 years ago
Please help me with this !!!!
IRISSAK [1]

Answer:

y = 5x + 4

Step-by-step explanation:

Starting with 5x - y = -4

Subtract 5x from both sides to get -y = -5x - 4

Multiply the entire equation by -1 to make the y positive

You get y = 5x + 4

3 0
3 years ago
Read 2 more answers
Is 103 perfect square? show your work​
alexgriva [62]

Answer:

yes

Step-by-step explanation:

Could not simplify further

6 0
3 years ago
Read 2 more answers
Can I get some help on how to solve this?
Klio2033 [76]

Answer:

see explanation

Step-by-step explanation:

Factorise both denominators

x² + 2x = x(x + 2) ← common factor of x

x² - 4 = (x - 2)(x + 2) ← difference of squares

Before subtracting we require common denominators

Multiply the numerator/denominator of the first fraction by (x - 2)

Multiply the numerator of the second fraction by x

= \frac{5}{x(x-2)(x+2)} - \frac{2x}{x(x-2)(x+2)}

Distribute and simplify the numerator leaving the denominator

= \frac{5x-10-2x}{x(x-2)(x+2)}

= \frac{3x-10}{x(x-2)(x+2)}

3 0
3 years ago
Find the slope and y-intercept of the line. 18x + 4y = 112
yan [13]
To find the slope and y-intercept, you can convert the linear equation into the form y = mx + b, where m is the slope and b is the intercept.
To do so, just simplify for y.
18x+4y=112
4y=-18x+112
y = - \frac{18}{4}x+28
So, the y-intercept is (0, 28) and the slope is 4.5.
Hope that helps!
4 0
4 years ago
Read 2 more answers
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