Answer:
a)Numerator has 3 terms
c)Denominator includes a coefficient of 2
Step-by-step explanation:
Given the expression in the question
-10x² + 15x + 3 / (2x² + 4)
<h3>
1) </h3><h3>
Numerator has 3 terms</h3>
Numerator is the upper part of fraction which in this case is -10x² + 15x + 3 and a term can be a signed number, a variable, or a constant multiplied by a variable or variables. Each term in an algebraic expression is separated by a + sign or - sign.
<h3>2) </h3><h3>Denominator includes a coefficient of 2 </h3>
Denominator is the lower part of fraction which in this case is 2x² + 4 and coefficients are the constants by which the variables are being multiplied.
Answer:
56.5 ft
Step-by-step explanation:
Here we know that:
- Keisha swims 18 feet from one side of her circular pool to the other swimming straight through the center --> this means that the diameter of the swimming pool is 18 feet, so
d = 18 ft
- Then, she swims one time around the entire edge of her swimming pool. --> this means that she swims along the perimeter of the swimming pool
The perimeter of a circle is given by
where d is the diameter. Therefore in this case, the length of Keisha's second swim is:
Answer:
3x + 9 = 21
Step-by-step explanation:
Let Henry's age be x
Mary's age = 9 + 3x
21 = 9 + 3x
Can also be written as 3x + 9 = 21
Answer:
The inverse is (x^2-5)/2
Step-by-step explanation:
y =sqrt(2x+5)
Exchange x and y
x = sqrt(2y+5)
Solve for y
Square each side
x^2 = (sqrt(2y+5))^2
x^2 = 2y+5
Subtract 5 from each side
x^2 -5 = 2y-5+5
x^2 -5 = 2y
Divide each side by 2
(x^2-5)/2 = 2y/2
(x^2-5)/2 = y
The inverse is (x^2-5)/2
Answer:
<h2>64x³ - 432x² + 972x - 729</h2>
Step-by-step explanation:
Write the statement into an expression
<h2>(4x - 9)³</h2><h2 /><h3>Now multiply that out...</h3><h3 /><h3>(4x - 9)²(4x - 9)</h3><h3 /><h3> Foil the first binomial</h3><h3 /><h3> (16x² - 72x + 81)(4x - 9)</h3><h3 /><h3>Multiply the two polynomials together</h3><h3 /><h3> 16x²(4x) - 72x(4x) + 81(4x) + 16x²(-9) - 72x(-9) + 81(-9)</h3><h3 /><h3> 64x³ - 288x² + 324x - 144x² + 648x - 729</h3><h3 /><h3>combine like terms...</h3><h3 /><h3>64x³ - 432x² + 972x - 729</h3>
