Answer:
y=4x+2 or f(x)=4x+2
Step-by-step explanation:
This is because the equation format for a line is y=mx+b, the slope is m and the y-intercept is b. So all you have to do is fill it out to get y=4x+2. Or the other way I listed the equation is right too. Hope this helps!
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:
b, c, e
Step-by-step explanation:
Esoeranza's cat weighs 1.3 x (130% of x). You can select all the expressions that equal to 1.3x.
Answer:
6 5/12
Step-by-step explanation:
Given the expression :
4 2/3 + 1 3/4
The sum of the numbers :
4 2/3 + 1 3/4
14/3 + 7/4
L.C.M of 3 and 4 = 12
(56 + 21) / 12
77 / 12
= 6 5/12
First, we can subtract the discount from the original price. Divide the discount (42%) over 100.
42/100 = 0.42
Next, we need to multiply. It's basically asking what 42% of 20 is.
0.42 × $20 = $8.40
Now, we know that we will have $8.40 on the CD because of the discount. We can subtract the saved amount from the original amount to get the price.
$20 - $8.40 = $11.60
You will pay $11.60 for the CD without taxes.
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Now to add the taxes.... To do this, do the same first step we did when finding the discount price.
6/100 = 0.06
Multiply. Like I said, you can think of it as, '6% of 11.60'.
0.06 × 11.60 = $0.70
Last step is to ADD. Since taxes add more money onto the current price, we will have to add.
$11.60 + $0.70 = $12.30
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The total price of the CD will be: $12.30.
