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2 years ago

Question

Mathematics

1 answer:

marin [14]2 years ago

4 0

Answer:

Step-by-step explanation:

From the table attached,

x-intercept of the linear function is, the value of 'x' when f(x) = 0

x = 3 [x-intercept]

Function 'g' is the sum of 2 and the cube root of the sum of three time x and 1.

g(x) = $2+\sqrt[3]{3x+1}$

For x-intercept,

g(x) = 0

$2+\sqrt[3]{3x+1}=0$

3x + 1 = (-2)³

3x + 1 = -8

3x = -8 - 1

3x = -9

x = -3

Therefore, the x-intercept of function 'f' is different or greater than the x-intercept of function g.

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Y is directly proportional to x,and y=216 when x=2. Find y when x=7.

makkiz [27]

$\bf \qquad \qquad \textit{direct proportional variation}\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------\\\\
\textit{we also know that }
\begin{cases}
y=216\\
x=2
\end{cases}\implies 216=k2\implies \cfrac{216}{2}=k
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3 years ago

What is the area of the red region?

Nitella [24]

Answer:

≈ $57.13cm^{2}$

Step-by-step explanation:

Area of Circle:

$A =$ π $r^{2}$

π $(4)^{2}$

π (16)

≈ $50.27cm^{2}$

Area of Square:

$A = l(w)$

$8(8) = 64 cm^{2}$

Area of each corner:

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3 0

2 years ago

jek_recluse [69]

Answer:

Step-by-step explanation:

Two similar polygons, means a similarity would exist in both polygons

Perimeter of a rectangle = 2(l +w)
Perimeter of the larger rectangle = 36 (because it's the largest figure)
equation becomes 36 = 2(L + W)
since L = 14, it becomes = 36 = 2(14 +W)
36 = 28 + 2W
2W = 36 - 28 = 2w = 8

w = 4.

Now we assume that since the rectangles are similar, they would have similar dimensions, in this case Width. so with this, we find length of smaller rectangle.

21 = 2(L + 4) = 21 = 2L + 8

2L = 21 - 8 = 2L = 13

L = 13/2 = 6.5.

lastly the product of the length of both polygons = 14 * 6.5 = 91.

Their Products length is 91

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2 years ago

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3 years ago

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jeyben [28]

Answer:

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2 years ago

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