Question
Which expressions are less than 7/8? Choose all answers that apply:
a) 7/8 x 9/15
b) 7/8 x 3/4
c) 7/8 x 9/9
d) 7/8 x 4/3
Answer:
a) 7/8 x 9/15
b) 7/8 x 3/4
Step-by-step explanation:
We are asked to find which expression are least than 7/8
Solving 7/8 = 0.875
We would evaluate the given option one after the other.
a) 7/8 x 9/15
= 63/120 = 0.525
b) 7/8 x 3/4
= 21/32 = 0.65625
c) 7/8 x 9/9
= 7/8 × 1 = 7/8 = 0.875
d) 7/8 x 4/3
= 7/6 = 1.1666666667
Therefore, from the above calculation, the expressions are less than 7/8 are
option a) a) 7/8 x 9/15 and b) 7/8 x 3/4
Answer:
B
Step-by-step explanation:
No correlation has ever been found. Scientific disciplines based on hypothesis but with no consistent body of supporting evidence are called pseudoscience. Astrology is one of them. Effects of astrology do not exist in the Universe.
The first one is of order 5, so it has either 1, 3 or 5 real roots (unless any coefficent was complex). Proof complete :)
The other one, if it has a solution, it must be in [-1;1]. Because it only gives positive results the solution is further restricted to [0;1]. Because the cosine function is continuous and strictly decreasing on this interval, the difference of x and it's cosine will shrink up to some point within the interval where it gets to 0 (the solution) and then flips sign (the cosine gets less than the number), further decreasing until the end of the interval.
Answer:
c
Step-by-step explanation:
107 x 3.778 x 125/100 = 4.735 x 1-7
Answer:
See attached image
Step-by-step explanation:
This equation for a parabola is given in vertex form, so it is very simple to extract the coordinates of its vertex, by using the opposite of the number that accompanies the variable "x" in the squared expression (opposite of 2) for the vertex's x-value, and the value of the constant (-6) for the vertex's y-value.
The vertex coordinates are therefore: (-2,-6)
The equation of the axis of symmetry of the parabola is a vertical line passing through the vertex. Since all vertical lines have the shape x = constant in our case, in order to pass through (-2,-6) the vertical line is defined by the equation: x = -2.
See image attached to find the vertex drawn as a red point, and the axis of symmetry as an orange vertical line passing through it.
