3 > 14
? > 10
Cross Multiply
? = 30/14
Area of the rectange = height x width = 3 x (30/14) = <span>6.42857142857</span>
The median is the middle value in a list ordered from smallest to largest.
Answer:
<em>1, 3, 5, 15</em>
Step-by-step explanation:
Factors of 45: 1, 3, 5, 9, 15, 45
Factors of 15: 1, 3, 5, 15
The common factors are written in bold.
Answer: 1, 3, 5, 15
The complete question is
"which statement is true about the extreme value the given quadratic equation? y = -3x^2 + 12x - 33
Oa. The equation has a maximum value with a y coordinate of -27
Ob. The equation has a minimum value with a y coordinate of -21
Oc. the equation has a minimum value with a y coordinate of -27
Od. The equation has a maximum value with a y coordinate of -21"
The quadratic equation has the extreme value at the vertex with a y-coordinate of -21. so, the correct option is D.
<h3>What is a quadratic equation?</h3>
A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
The given quadratic equation is
y=-3x^2+12x-33
x = -b/2a
For the given equation the vertex :
x = -12/2(-3) = 2
The value of y at x = 2 is:
y = -3(2²) + 12(2) - 33
y = -12 + 24 - 33
y = -21
The extreme is the maximum for the given equation.
The correct choice is D.
Learn more about quadratic equations;
brainly.com/question/13197897
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Answer:
Kalino would need to earn at least a 97 on his fifth test.
Step-by-step explanation:
The average is calculated by adding up the amounts earned on each test and dividing by the total number of tests. In this case, the score for the last test is not known, but the expected average of 90 points is, so we can set up an equation to solve for the unknown test value:
'x' represents the score of the fifth test. Using inverse (opposite) operations and doing the same operation to both sides of the equation, we can first multiply both sides by 5:
x 5 = 90 x 5
353 + x = 450, now subtract 353 from both sides: 353 -353 + x = 450 - 353
x = 97
