Answer:
Part 5) The roots are x=-3 and x=1.5
Part 6) The solution on a number line is the shading area below of the line y=-1/3 (close circle)
Step-by-step explanation:
Part 5) Find the roots of the parabola given by the following equation

we know that
The formula to solve a quadratic equation of the form
is equal to
in this problem we have


so
substitute in the formula
therefore
The roots are x=-3 and x=1.5
Part 6) Solve the inequality and graph the solution on a number line.

Solve for y

Subtract 12 both sides


Multiply by -1 both sides

Divide by 15 both sides

The solution is the interval -----> (-∞, -1/3]
All real numbers less than or equal to negative one third
The solution on a number line is the shading area below of the line y=-1/3 (close circle)
The graph in the attached figure
Answer:
168÷4
=42
Distance covered by train in 4 hours=168kms
Distance covered by train in 1 hour =168kms÷4hrs
=42
Thus distance covered by train in 1 hour is 42kms.
Answer:
Step-by-step explanation:
It is 12y+6
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The total number of notes is 32
<h3>The number of notes</h3>
Let the number of notes be x
$50 = x
$20 = x
$10 = x
$5 = x
Total number of notes = 4x
Let's find 'x'
50x + 20x + 10x + 5x = 680
85x = 680
x = 680/ 85
x = 8
We know that;
Total number of notes = 4x = 4 × 8 = 32 notes
Thus, the total number of notes is 32
Learn more about algebraic expressions here:
brainly.com/question/723406
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Since nothing different is shown, we can assume that these logs
are to the base 10.
So the log of a number means:
In order to get that number, what power do you raise 10 to ?
log(√10) = 1/2 . . . . . (10 to the 1/2 power produces √10)
log(0.01) = -2 . . . . . (10 to the -2 power means 1/10² and produces 0.01)
So the sum of those two logs is (1/2) + (-2) = <u>-(1 and 1/2) </u>.