MATHEMATICS HIGH SCHOOL

What is the number of real solutions?-7x²-11x-2=0

One solution?
two solutions?
no real solution?
cannot be determined

Answers

Answer 1
Answer: Answer:  [B]:  Two (2) real solutions .
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Explanation:
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  Given:   -7x² − 11x − 2 = 0 ;
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    We see that it is in "quadratic format" ; that is:
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                " ax² + bx + c = 0 ;  a ≠ 0 ; "
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   Multiply the entire equation by "-1" ; to get rid of the "negative number" :
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             →   -1 * {-7x² − 11x − 2 = 0} ;
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 to get:  →       7x²  + 11x + 2 = 0  ;
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This expression is written in the "quadratic format"; 
 
                   ax² + bx + c = 0 ;  in which:  a = 7 ; b = 11; c = 2 ;
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         The expression cannot be "factored"; so, we can solve for "x" ; by using the "quadratic equation formula" ;
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       x = {-b ± √(b² − 4ac)} / {2a} ;
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Let us solve for:  "(2a)" :   2a = 2 * a = 2 * 7 = 14 ;

Let us solve for:  "(b² − 4ac)":  11² − 4*7*2 = 121 − 56 = 65; 
  
    →   √(b² − 4ac) = √65
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    →   " -b" = -11 ;
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So,   x = (-11 ± √65) / 14 ; 
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There are TWO (2) solutions:
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Solution 1)  x = (-11 + √65) / 14 = - 0.2098387322643893071;  AND:
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Solution 2)  x = (-11 − √65) / 14 = -1.3615898391641821214 ;
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So, there are TWO (2) real solutions.
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Expand the logarithmic expression.
Log (base b) Square root 57/74

Answers


we are asked to expand the logarithmic expression log base b square root of 57/74. In this case, the terms can be expressed as log 57/74 over log b. The expanded form is expressed as -0.1134 / log b. This can be also expressed as (log 57 - log 74)/ log b. 

What is the mechanical advantage of a ramp that is 5 m long and 1.5 m high

Answers

it would 7.5 meters long

A company finds it can produce 5 heaters for $2000, while producing 15 heaters costs $4600. Express the cost, y, as a linear function of the number of heaters, X. Determine the cost to produce 20 heaters. Express the cost, y, as a linear function of the number of heaters, X. ou y = (Simplify your answer.) The cost to produce 20 heaters is $​

Answers

Answer:

  • y = 260x + 700
  • $5900

Step-by-step explanation:

We can describe it as a linear function with points of:

  • (5, 2000) and (15, 4600)

Slope intercept formula:

  • y = mx +b

Finding the slope using the two given points:

  • m = (4600-2000)/(15-5) = 2600/10 = 260

Finding b:

  • 2000 = 5*260 + b
  • b = 2000 - 1300 = 700

Formula obtained:

  • y = 260x + 700

For x = 20, value of y is:

  • y = 260*20 + 700 = 5200+700 = $5900

Final answer:

To express the cost, y, as a linear function of the number of heaters, X, we can use the two-point formula to find the equation of the line. The equation is y = 260x + 700, and the cost to produce 20 heaters is $5900.

Explanation:

To express the cost, y, as a linear function of the number of heaters, x, we need to find the slope and y-intercept of the equation. We can do this by finding the equation of the line that passes through the points (5, 2000) and (15, 4600). Using the two-point formula, we have:



slope = (4600 - 2000) / (15 - 5) = 2600 / 10 = 260



y-intercept = 2000 - 260 * 5 = 2000 - 1300 = 700



Therefore, the equation of the line is y = 260x + 700.



To find the cost to produce 20 heaters, we substitute x = 20 into the equation:



y = 260 * 20 + 700 = 5200 + 700 = 5900



So, the cost to produce 20 heaters is $5900.

Learn more about Linear function here:

brainly.com/question/40461731

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Bob drove 59 miles per hour for 4 hours. How far did Bob drive?

Answers

59 x 4 = 236 is ur answer and equation

Answer:

236 miles.

Explanation:

59 miles * 4 hours = 236 miles

Greatest common factor of 28 and 42

Answers

Answer:

14

Step-by-step explanation:

Factors of 28: 1, 2, 4, 7, 14, 28

Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42

So, the GCF is 14

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Answers

Answer:

in the pic

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ;)
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