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3 years ago

Identify the value that is NOT in range of the piecewise function. A. -3 B. -2 C. 3

Mathematics

1 answer:

Blizzard [7]3 years ago

7 0

Answer:

Option A i.e. y = - 3 is not in range of the piece wise function graphed.

Step-by-step explanation:

The range of a function y = f(x) is given by the possible values of y for the possible domain (x-values) of the function.

Now, it is clear from the graph of the function that the value of y never goes below y = - 2.

The graph is drawn in such a way that any value of y less than - 2 and greater than - ∞ is not in the range of the function.

Therefore, option A i.e. y = - 3 is not in range of the piecewise function graphed. (Answer)

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Suppose that the position of one particle at time is given by x1=3sin t, y1 = 2 cos t, 0 ≤ t ≤ 2π and the position of a second p

Mashcka [7]

Answer:

there is no collision between the particles

Step-by-step explanation:

for the first particle

x1=3sin t, y1 = 2 cos t, 0 ≤ t ≤ 2π

for the second particle

x2 = -3 + cos t, y2 = 1 + sin t, 0 ≤ t ≤ 2π

then for the collision

x1=x2 → 3*sin t = -3 + cos t → sin t= -1 + (cos t)/3→ 1+ sin t = (1/3)cos t

y1=y2 → 1 + sin t = 2 cos t → (1/3)cos t = 2 cos t →(1/3) = 2

since 1/3 ≠ 2 there is no collision between the particles

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2 years ago

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igomit [66]

A..................................................

5 0

2 years ago

14. The area of a rectangle is 375 square inches and it’s perimeter is 80 inches. Find both the length and width.

Pavel [41]

Answer:

Length $=25$ inches

Width $= 15$ inches

Step-by-step explanation:

Let $l$ = length of rectangle, $w$ = width of rectangle

Given the area and the perimeter of the rectangle, we can write:

$lw = 375$

$2l+2w=80$

So:

$l+w = 80\div2$

$=40$

$l=40-w$

Now, we can use substitution to find the value of $w$ :

$lw = 375$

$(40-w)w = 375$

$40w-w^2 = 375$

$375+w^2-40w = 0$ (Quadratic equation)

$(w-15)(w-25) = 0$

∴ $w = 15, 25$

We can use substitution again to find the value of $l$

$lw = 375$

$l=375\div w$

$=25,15$

∵ Length usually refers to the longer side of a rectangle, ∴ length $=25$ inches and width $=15$ inches.

Hope this helps :)

8 0

2 years ago

PLEASE ANSWER I GIVE BRAINLIEST write an equation of a line with m=6 that passes through (7,-5)

iren [92.7K]

Answer:

y = 6x - 47

6x - y - 47 = 0

Step-by-step explanation:

$y - y_{1} = m(x - x_{1} ) \\ \\ plug \: x_{1} = 7 \\ y_{1} = - 5 \\ m = 6 \: in \: the \: above \: equation \\ y - ( - 5) = 6(x - 7) \\ \\ y + 5 = 6x - 42 \\ \\ y = 6x - 42 - 5 \\ \\ y = 6x - 47 \\ \\ or \: 6x - y - 47 = 0$

7 0

2 years ago

SOMEONE PLEASE HELP ME!!!!! I NEED THIS!

snow_tiger [21]

Answer:

QR ≈ 16.3

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are equal, that is

$\frac{MN}{QR}$ = $\frac{MP}{QT}$ , substitute values

$\frac{40.3}{QR}$ = $\frac{57}{23}$ ( cross- multiply )

57 QR = 926.9 ( divide both sides by 57 )

QR ≈ 16.3 ( to the nearest tenth )

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2 years ago