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3 years ago

Solve the inequality 2x<2 pleaseeeeeeeeeeeeee

Mathematics

1 answer:

Daniel [21]3 years ago

8 0

Answer:

x < 1

Step-by-step explanation:

Divide both sides of the inequality by 2:

(2x)/2 < (2)/2

x < 1 . . . . . . . . . . simplify

The solution is x < 1.

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A diver dives from the board at a local swimming pool. Her height, y, in metres, above the water in terms of her horizontal dist

Aneli [31]

Answer:

4 meters

Step-by-step explanation:

Given a quadratic equation in which the coefficient of $x^2$ is negative, the parabola opens up and has a maximum point. This maximum point occurs at the line of symmetry.

Since the divers height, y is modeled by the equation

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

Step 1: Determine the equation of symmetry

In the equation above, a=-1, b=2, c=3

Equation of symmetry, $x=-\dfrac{b}{2a}$

$x=-\dfrac{2}{2*-1}\\x=1$

Step 2: Find the value of y at the point of symmetry

That is, we substitute x obtained above into the y and solve.

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

The maximum height of the diver is therefore 4 meters.

8 0

2 years ago

Which number produce a rational number when multiples by 1/5

Igoryamba

Answer:

-2/3

Step-by-step explanation:

A rational number is a number that can be expressed by a fraction so when y add to fractions it’s a rational number.

3 0

2 years ago

Given three points A(-7, 1), B(m, 6) and P(-1, n). If the point P divides AB internally in the ratio of 3: 2, find the values of

vesna_86 [32]

Answer:

m = 3 , n = 4

Step-by-step explanation:

Using Section Formula.

$If \ the \ line \ segment \ AB \ where \ A = (x _1, y_1) \ and \ B = (x_2, y_2) \ divided \ by \ P =(x , y) \ in \ the \ ratio \ a : b,\\\\Then \ the \ points \ of \ P \ \\\\x = \frac{ax_2 + bx_1}{a+b} \ and \ y = \frac{ay_2 + by_1}{a+b}$

$Here (x_1 , y_ 1 ) = ( -7 , 1 ) \ and \ (x_ 2 , y _ 2 ) = (m , 6)\\\\ratio\ a:b = 3 : 2\\\\Therefore, P (x, y) \\\\x = \frac{3m + (2\times -7)}{5} \ \ \ \ \ \ \ \ \ \ \ [ \ x = -1 \ ] \\\\-1 = \frac{3m - 14}{5}\\\\- 5 = 3m - 14\\\\-5 + 14 = 3m\\\\9 = 3m \\\\m = 3$

$y =\frac{3\times 6 + 2 \times 1}{5}\\\\n = \frac{18 + 2}{5} = \frac{20}{5} = 4$

5 0

2 years ago

kvv77 [185]

Answer: 2.7mm

Step-by-step explanation:

The formula for the circumference of a circle is given as 2πr. In thkw case, thw circumference is 17mm.

Therefore, 2πr = 17

2 × 3.14 × r = 17

6.28r = 17

r = 17/6.28

r = 2.7mm

Therefore the radius of the circle is 2.7mm

5 0

2 years ago

-4x-9y=1 -x+2y=-4 send help thanks

evablogger [386]

Hey those are linear functions, gotta find Y or X and draw on two axis X/Y. in first y = 4/9x + 1/9. in second y = X/2 - 2.

6 0

2 years ago