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What are the set of values for x that satisfy the below equation?

x 2 - 9x ≤ 36 1. Draw a graph. y = x 2 - 9x and y = 36 2. Find the points of intersection by solving x 2 - 9x = 36 x 2 - 9x = 36 x 2 - 9x - 36 = 0 (x - 12)(x + 4) = 0 Therefore, the lines intersect at x = 12...
DD
Answered by Daisy D. • Maths tutor
11433 Views

What is the difference between a definite integral and an indefinite integral?

A definite integral is actually a numerical value, which the represents the area under a graph between two points. For example, if you integrated f(x) between two values (lets call them a and b), the answer ...
AW
Answered by Alex W. • Maths tutor
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Solve the following simultaneous equation: 3x+2y=20 and x+4y=20

In this example, we want to find values for both x and y which are our unknowns. So we start by rearranging x to be on its own but still in terms of y. We then can plot it into the next equation. Hence we ge...
PS
Answered by Phillipa S. • Maths tutor
8900 Views

G(x)=x^3 + 1, h(x)=3^x; solve G(h(a))=244

First combine the two functions so that we have an equation for a to solve: G(h(a)) = (3^x)^3 + 1 = 3^(3x) + 1 = 244 which gives 3^(3x) = 243 Now we can use logarithms in order to solve the equation log(3^(3...
JS
Answered by Josephine S. • Maths tutor
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A right-angled triangle has base 7cm and height 6cm. Find it's area.

Using the equation Area = 1/2 * base * height: Area = 1/2 * 7 * 6 Area = 21 units.
SB
Answered by Samuel B. • Maths tutor
8279 Views