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katovenus [111]
3 years ago
12

A number x divided by 7 is less than or equal to -19

Mathematics
1 answer:
Verdich [7]3 years ago
8 0

Answer:

x-7 > -19  

     _

Step-by-step explanation:

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The label on the car's antifreeze container claims to protect the car between −40°C and 125°C. To covert Celsius temperature to
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Answer:

see below

Step-by-step explanation:

The label on the car's antifreeze container claims to protect the car between -40°C and 125°C.

So inequality which models this situation will be -40°C < T < 125°C

Now we have to show this inequality in Fahrenheit temperature with the help of C=\frac{5}{9} (F-32)

So the compound inequality in Fahrenheit temperature will be

-40 < \frac{5}{9} (F-32) < 125

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2 years ago
Explain why a quadratic equation with a positive discriminant has two real solutions, a quadratic equation with a negative discr
Bad White [126]

Answer:

A quadratic equation can be written as:

a*x^2 + b*x + c = 0.

where a, b and c are real numbers.

The solutions of this equation can be found by the equation:

x = \frac{-b +- \sqrt{b^2 - 4*a*c} }{2*a}

Where the determinant is D = b^2 - 4*a*c.

Now, if D>0

we have the square root of a positive number, which will be equal to a real number.

√D = R

then the solutions are:

x = \frac{-b +- R }{2*a}

Where each sign of R is a different solution for the equation.

If D< 0, we have the square root of a negative number, then we have a complex component:

√D = i*R

x = \frac{-b +- C*i }{2*a}

We have two complex solutions.

If D = 0

√0 = 0

then:

x = \frac{-b +- 0}{2*a} = \frac{-b}{2a}

We have only one real solution (or two equal solutions, depending on how you see it)

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A home-made baseball diamond is in the shape of a square. The distance from base to base is 80 feet because of space constraints
Lelu [443]
Call x the distance from home plate to second base.

There is a right triangle formed by homeplate, first base and second base. The sides of this triangle are 80 feet and 80 feet. The hypothenuse meets Pythagoras theorem:

x^2 = 80^2 + 80^2 = 2(80)^2
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Then the answer is the option D.
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3 years ago
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Which of the following characteristics best describes the given function of
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