Answer:
x = 3/2 or x = -5/4
Step-by-step explanation:
Solve for x over the real numbers:
8 x^2 - 2 x - 15 = 0
Using the quadratic formula, solve for x.
x = (2 ± sqrt((-2)^2 - 4×8 (-15)))/(2×8) = (2 ± sqrt(4 + 480))/16 = (2 ± sqrt(484))/16:
x = (2 + sqrt(484))/16 or x = (2 - sqrt(484))/16
Simplify radicals.
sqrt(484) = sqrt(4×121) = sqrt(2^2×11^2) = 2×11 = 22:
x = (2 + 22)/16 or x = (2 - 22)/16
Evaluate (2 + 22)/16.
(2 + 22)/16 = 24/16 = 3/2:
x = 3/2 or x = (2 - 22)/16
Evaluate (2 - 22)/16.
(2 - 22)/16 = -20/16 = -5/4:
Answer: x = 3/2 or x = -5/4
Answer:
$839.95
Step-by-step explanation:
Sales tax = 7 % × cost
Sales tax = 0.07 × 785
Sales tax = $54.95
=====
Cost = price + sales tax
Cost = 785 + 54.95
Cost = $839.95
The cost to purchase is $839.95.
9514 1404 393
Answer:
4 kg : 12 kg : 20 kg
Step-by-step explanation:
The total number of "ratio units" is 1+3+5 = 9, so each of them represents ...
(36 kg)/9 = 4 kg
Multiplying the given ratio by 4 kg will show the appropriate division:
1(4 kg) : 3(4 kg) : 5(4 kg) = 4 kg : 12 kg : 20 kg
To solve this you must use the rules of PEMDAS (Parentheses, Exponent, Multiplication, Division, Addition, Subtraction)
First we have parentheses.
-4(3 - 1) + 2
3 - 1 = 2
-4(2) + 2
We have no exponents so go on to multiplication
-4(2) + 2
-4 * 2 = -8
-8 + 2
No division so go to addition
-8 + 2
When adding a positive number with a negative number you will act as if you are subtracting the two numbers, then take the sign of the largest number (disregarding the signs). In this case the largest number is 8 and its sign is negative. Your answer will have a negative sign.
-6
Hope this helped!
~Just a girl in love with Shawn Mendes
The additive inverse: The usage of addition with a negative number.
The original equation is 21 - 11 = 10
To use the additive inverse, change it so that there is an addition sign.
21 + (-11) = 10
B) -11 is your answer
hope this helps
