Answer:
$98.10
Step-by-step explanation:
150 decrease 40% =
150 × (1 - 40%) = 150 × (1 - 0.4) = 90
90 increase 9% =
90 × (1 + 9%) = 90 × (1 + 0.09) = 98.1
The y-intercept of the quadratic equation is -47.
<h3>What is Quadratic Equation?</h3>
A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.
Here, given quadratic equation;
f(i) = i² + 10i - 22
or, y = i² + 10i - 22
y = i² + 2.5x - (47-25)
y = i² + 2.5x + 25 - 47
y = (i+5)² - 47
Thus, the y-intercept of the quadratic equation is -47.
Learn more about Quadratic Equations from:
brainly.com/question/2263981
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To calculate it use pythagoras: a^2+b^2=c^2
7^2+10^2=49+100=149
calculate the square root:

so the diagonal is about 12.2 inches long
The length of BC is 4.674 m
<u>Explanation:</u>
Given:
Angle A = angle B = 90°
AD = 2.1 m
AB = 1.9 m
CD= 3.2 m
An image is inserted for the reference
According to the figure,
a is the base
b is the height
c is the hypotenuse
Using pythagoras theorm:
a² + b² = c²
a² + (1.9)² = (3.2)²
a² + 3.61 = 10.24
a² = 6.63
a = 2.574
BC = 2.1 + 2.574
BC = 4.674m
Therefore, the length of BC is 4.674 m
A correlation coefficient of 1 or -1 indicates that the variables form a perfect linear relationship.