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3 years ago

(x-6)(x+ 3) = A. X^2 - 18 B. X^2 - 3x - 18 C. X^2 + 3x -18 D. X2 + 9x - 18

Mathematics

2 answers:

scoundrel [369]3 years ago

8 0

Answer:

x^2 - 3x - 18.

Step-by-step explanation:

step1- expand the brackets

step2- simplify answer

nlexa [21]3 years ago

4 0

Answer:

x^2 - 3x - 18

Step-by-step explanation:

Just follow in terms of FOIL

First, outer, inner, last. First means multiply the terms which occur first in each binomial, Outer means multiply the outermost terms in the product, Inner means multiply the innermost terms, and Last means multiply the terms which occur last in each binomial.

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3 years ago

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Answer:

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Step-by-step explanation:

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Sketch the graph of y=x^2-4x+3

NISA [10]

Answer:

see attached graph

Step-by-step explanation:

Given equation: $y=x^2-4x+3$

Standard form of a quadratic equation: $y=ax^2+bx+c$

where $c$ is the y-intercept

If $a > 0$ then the parabola opens upwards.

If $a < 0$ then the parabola opens downwards.

Therefore, the y-intercept of the graph is (0, 3)

To find the x-intercepts, factor the equation:

$y=x^2-4x+3$

$\implies y=x^2-x-3x+3$

$\implies y=x(x-1)-3(x-1)$

$\implies y=(x-3)(x-1)$

Therefore, the x-intercepts of the graph are (3, 0) and (1, 0)

To determine the vertex, differentiate the equation:

$\implies \dfrac{dy}{dx}=2x-4$

Set to zero and solve for x:

$2x-4=0 \implies x=2$

Substitute $x=2$ into the original equation and solve for y:

$\implies y=(2)^2-4(2)+3=-1$

Therefore, the vertex (or turning point) is at (2, -1)

8 0

3 years ago

How are scalar and vector measurements different? give an example of each (at least 1 scalar and 1 vector example)?

sweet-ann [11.9K]

A scaler quantity is measured solely on its magnititude (size) and it lacks a direction. A vector, however, is measured on both its magnitude and direction. Examples of scalers are time and temperature because they only consist of a magnitude, but have no direction associated with them. Examples of vectors are velocity, acceleration, and force, because they consist of both a magnitude and a direction.

Hope this helped :)

3 0

3 years ago

A wedge of cheese in the shape of a triangular prism has lengths of 10 cm, 13 cm, and 13 cm for its triangular sides. The perpen

Rina8888 [55]

Answer:

480 cubic cm.

Step-by-step explanation:

We have been given that a wedge of cheese in he shape of a triangular prism has lengths of 10 cm, 13 cm, and 13 cm for its triangular sides. The perpendicular distance from the 10 cm side to the point of the wedge is 12 cm. The height of the wedge is 8 cm.

$\text{Volume of triangular prism}=\text{Base area*Height of the wedge}$

We can see from our attachment that base of our triangular face is 10 cm and height of the triangular face is 12 cm and height of wedge is 8 cm.

Substituting these values in volume formula we will get,

$\text{Volume of cheese wedge}=\frac{1}{2}*\text{10 cm*12 cm*8 cm}$

$\text{Volume of cheese wedge}=\text{5 cm*12 cm*8 cm}$

$\text{Volume of cheese wedge}=480\text{cm}^3$

Therefore, the volume of cheese wedge will be 480 cubic cm.

4 0

3 years ago