To find the sales tax multiply the purchase price by the sales tax rate. Remember to convert the sales tax rate from a percent to a decimal number. Once the sales tax is calculated, it is added to the purchase price. The result is the total cost—this is what the customer pays.
Answer:
D
Step-by-step explanation:
The equation of a parabola in vertex form is
f(x) = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this form using the method of completing the square.
Given
f(x) = 3x² - 24x + 10
We require the coefficient of the x² term to be 1 , thus factor out 3
3(x² - 8x) + 10
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 8x
= 3(x² + 2(- 4)x + 16 - 16) + 10
= 3(x - 4)² + (3 × - 16) + 10
= 3(x - 4)² - 48 + 10
= 3(x - 4)² - 38, thus
f(x) = 3(x - 4)² - 38 ← in vertex form
Answer:
The left side
−
2.875
is not greater than the right side
−
2.875
, which means that the given statement is false.
False
Step-by-step explanation:
Answer:
They help the tree reach deep into the sandy soil for nutrients and ground water.
Step-by-step explanation:
The job of a tree's roots is to collect water and nutrients.
complette the square to get vertex form or y=a(x-h)^2+k
(h,k) is vertex
1. group x terms, so for y=ax^2+bx+c, do y=(ax^2+bx)+c
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2, factor out the leading coefinet (constant in front of the x^2 term), basicallly factor out a
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3. take 1/2 of the linear coefient (number in
front of the x), and square it ,then add negative and positive of it
inside parnthases
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4. complete the squre and expand
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so
y=-1/4x^2+4x-19
group
y=(-1/4x^2+4x)-19
undistribute -1/4
y=-1/4(x^2-16x)-19
take 1/2 of -16 and squer it to get 64 then add neg and pos inside
y=-1/4(x^2-16x+64-64)-19
factorperfect square
y=-1/4((x-8)^2-64)-19
expand
y=-1/4(x-8)^2+16-19
y=-1/4(x-8)^2-3
vertex is (8,-3)
