Solve the double inequality: −3>7x−8>−0.2

Mathematics

1 answer:

Aleonysh [2.5K]3 years ago

8 0

Answer:

No solution.

Step-by-step explanation:

−3> 7x−8 > −0.2

Split this into 2 inequalities:

7x - 8 < -3 Add 8 to both side:

7x < 5

x < 5/7.

and:

7x - 8 > -2 Add 8 to both sides:

7x > 6

x > 6/7.

But x cannot be both less than 5.7 and > 6.7, so No solution.

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What is the y-intercept of the quadratic function f(x) = (x – 8)(x + 3)? (8,0) (0,3) (0,–24) (–5,0)

DiKsa [7]

The correct answer is: [C]: " (0, 24) " .
___________________________________________________________

Explanation:
___________________________________________________________

Given the quadratic function:
___________________________________________________________

→ " y = (x − 8) (x + 3) " ; ← Note: Replace the "f(x)" with: "y" ;

→ Find the "y-intercept".
___________________________________________________________

→ Note: The "y-intercept" is the coordinate of the point(s) of the graph of the equation at which the graph crosses the "x-axis" when "x = 0" .

→ So; we set plug in "0" for "x" into our equation; and solve for "y" ;

 → " y = (x − 8) (x + 3) " ;

 → y = (0 − 8) (0 + 3) ;

 → y = (-8) * (3) ;

 → y = - 24 ;
___________________________________________________________

So, the "y -intercept" of the given quadratic function is:

the point at which: "x = 0 ; y = -24 " ;

→ that is; the point the coordinates: " (0, - 24) " ;
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→ which is: Answer choice: [C]: " (0, - 24) " .
___________________________________________________________

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3 years ago

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Seven hotdogs and four hamburgers cost $13. Four hotdogs and seven hamburgers cost $14.50. How much does one hamburger cost and

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Answer:

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Step-by-step explanation:

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