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The essential nutrient that serves are the main building blocks for the body is (1 point) Responses protein. protein. fat. fat. carbohydrates. carbohydrates. vitamins.

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The essential nutrient that serves as the main building blocks for the body is protein.

Your body uses the nutrients from fiber to keep your digestive track healthy. (1 point) Responses true true false

The statement is false. Fiber itself is not digested and does not provide nutrients in the same way that other macronutrients do, but it plays a crucial role in maintaining digestive health by promoting regular bowel movements and preventing constipation.

When you consume too much of this substance, your arteries begin to clog, and you increase your risk of a heart attack. (1 point) Responses fat fat cholesterol cholesterol caffeine caffeine yogurt yogurt

When you consume too much of this substance, your arteries begin to clog, and you increase your risk of a heart attack is cholesterol.

Based on the Zero Product Property, which of the following statements must be true about the quadratic equation (2x−3)(x+2)=0 ?(1 point) Responses Neither of the factors, (2x−3) nor ​(x+2) , must equal 0 for the entire function to equal 0. Neither of the factors, left parenthesis 2 x minus 3 right parenthesis nor left parenthesis x plus 2 right parenthesis , must equal 0 for the entire function to equal 0. At least one of the factors, (2x−3) or ​(x+2) , must equal 0 for the entire function to equal 0. At least one of the factors, left parenthesis 2 x minus 3 right parenthesis or left parenthesis x plus 2 right parenthesis , must equal 0 for the entire function to equal 0. Both factors, (2x−3) and ​(x+2) , must equal 0 for the entire function to equal 0. Both factors, left parenthesis 2 x minus 3 right parenthesis and left parenthesis x plus 2 right parenthesis , must equal 0 for the entire function to equal 0. No values of x will make the function equal 0.

Based on the Zero Product Property, the statement that must be true about the quadratic equation \((2x−3)(x+2)=0\) is:

At least one of the factors, (2x−3) or (x+2), must equal 0 for the entire function to equal 0.

This means that if the product of two factors is zero, then at least one of the factors must be zero.

The path of a soccer ball can be modeled by the equation h(x)=−12x(x−20) , where h(x) is the height of the ball, and x is the horizontal distance the ball has traveled. To determine how far the ball has traveled when it hits the ground, Leon set the height equal to 0 and obtained the equation: 0=−12x(x−20) . How can he use the Zero Product Property to find the horizontal distance the ball has traveled when the height of the soccer ball equals 0?(1 point) Responses Plug in 0 for all the x terms in the function. Plug in 0 for all the x terms in the function. Solve the two equations: −12x=0 and x−20=0 . Solve the two equations: negative Start Fraction 1 over 2 End Fraction x equals 0 and x minus 20 equals 0 . He cannot use the Zero Product Property because the height will never be 0. He cannot use the Zero Product Property because the height will never be 0. Cancel out the x and then multiply −12 and −20 .

To find the horizontal distance the ball has traveled when the height equals 0 using the Zero Product Property, Leon should:

Solve the two equations: −12x=0 and x−20=0.

This allows him to find the values of \(x\) that make the entire expression zero. The solutions will indicate the horizontal distances at which the ball hits the ground.

Solve the factored quadratic equation 0=−13x(x−6) .(1 point) Responses The solution set is x={13,6} . The solution set is x equals left brace Start Fraction 1 over 3 End Fraction comma 6 right brace . The solution set is x={0,−6} . The solution set is x equals left brace neagtive 0 comma negative 6 right brace . The solution set is x={0,6} . The solution set is x equals left brace 0 comma 6 right brace . The solution set is x={−6,3} .

To solve the equation \(0 = -13x(x - 6)\) using the Zero Product Property, we set each factor equal to zero:

  1. \(-13x = 0\)
    \(x = 0\)

  2. \(x - 6 = 0\)
    \(x = 6\)

Thus, the solution set is \(x = {0, 6}\).

So the correct response is:

The solution set is \(x = {0, 6}\).