Let the numbers be x and y
y=5x
y-x=236
5x-x=236
4x=236
x=59
5=5*59=295
Answer:
v is negative for every x, meaning the domain is all values in R, whatever goes under the squared sign will come out as positive and the left out -ve sign will make V negative for all x in R
range of f(x) is -inf to +inf
Step-by-step explanation:
the cubic power doesnt affect the sign
9514 1404 393
Answer:
a. 405
b. -2
c. 5
d. 43
Step-by-step explanation:
I don't like doing arithmetic any more than you do, so I let a calculator do it for me. A spreadsheet works well for this, too. The function values are shown in the attachment.
Put the function argument where the variable is and do the arithmetic.
a. h(4) = 5·3^4 = 405
b. d(2) = 7 -9(2 -1) = -2
c. h(0) = 5·3^0 = 5
d. d(-3) = 7 -9(-3 -1) = 43
Answer:
A. 5
Step-by-step explanation:
The triangle will be a right triangle when the side lengths satisfy the Pythagorean theorem: the sum of the squares of the legs is equal to the square of the hypotenuse.
(x +1)^2 +x^2 = (√61)^2
x^2 +2x +1 +x^2 = 61 . . . eliminate parentheses
2x^2 +2x = 60 . . . . . . .subtract 1, collect terms
x^2 +x -30 = 0 . . . . . divide by 2, subtract 30
(x +6)(x -5) = 0 . . . . factor the quadratic
x = -6 or +5
The solution is x = 5.
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Side lengths cannot be negative. Solution values are values of x that make the factors zero. x+6=0 when x=-6, for example.