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3 years ago

Identify how the graph is shifted from that of the parent function y=tan(x)+7

Mathematics

2 answers:

Law Incorporation [45]3 years ago

8 0

Answer:

7 units up

Step-by-step explanation:

natulia [17]3 years ago

7 0

The next one is D. 3 units right.

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Do the ratios 1/3 and 2/9 form a proportion

Alik [6]

Answer: No they don't because there is not way 1/3 can be multiplied by a number to get 2/9 and there is no way 2/9 can be divide by any number to get 1/3.

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

The value of the solid's surface area is equal to the value of the solid's volume. find the value of x. 5*6*x

velikii [3]

<h3>Given</h3>

a cuboid with length, width, height dimensions 5, 6, x

the value of x that makes the numerical value of the total surface area equal to the numerical value of the volume

<h3>Solution</h3>

The volume is given by

... V = L·W·H = 5·6·x = 30x

The area is given by

... A = 2(L·W + H(L+W)) = 2(5·6 +x(5+6)) = 2(30 +11x) = 60 +22x

When these are equal, we have

... 30x = 60 +22x

... 8x = 60

... x = 7.5

The desired value of x is 7.5.

7 0

3 years ago

What is the maximum volume in cubic inches of an open box to be made from a 12-inch by 16-inch piece of cardboard by cutting out

Romashka-Z-Leto [24]

If you start with a 12x16 rectangle and cut square with side length x, when you bend the sides you'll have an inner rectangle with sides $12-2x$ and $16-2x$ , and a height of x.

So, the volume will be given by the product of the dimensions, i.e.

$(12-2x)(16-2x)x = 4x^3-56x^2+192x$

The derivative of this function is

$12x^2-112x+192$

and it equals zero if and only if

$12x^2-112x+192=0 \iff x = \dfrac{14\pm 2\sqrt{13}}{3}$

If we evaluate the volume function at these points, we have

$f\left(\dfrac{14-2\sqrt{13}}{3}\right) = \dfrac{64}{27}(35+13\sqrt{13})> f\left(\dfrac{14-2\sqrt{13}}{3}\right) = -\dfrac{64}{27}(13\sqrt{13}-35)$

So, the maximum volume is given if you cut a square with side length

$x=\dfrac{14-2\sqrt{13}}{3}\approx 2.7$

5 0

3 years ago

What is the area of the figure? <br> A. 66 <br> B. 84 <br> C. 60 <br> D. 72

Lerok [7]

Answer:

C.60

Step-by-step explanation:

4×12=48

18-12=6

6×2=12

48+12=60

3 0

3 years ago

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write an equation in slope intercept form for the line that passes through the point, and is perpendicular to the line y=-1/3x+9

aleksklad [387]

Answer:

Step-by-step explanation:

y=-1/3x+9

This is written in the format y=mx+b, where m is the slope and b the y-intercept (the value of y when x=0).

Perpendicular lines have a slope that is the negative inverse of the slope of the reference line, in this case -(1/3). The new slope is 3. equation is:

y = 3x + b

To find b, enter the given point, (-6,-2) and solve for b:

y = 3x + b

-2 = 3(-6) + b

-2 = -18 + b

b = 16

The full equation is y=3x + 18

8 0

2 years ago