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3 years ago

There are 40 questions on a test. Tina answered 85% of the questions correctly. How

Mathematics

1 answer:

Darina [25.2K]3 years ago

7 0

Answer:

Step-by-step explanation:

(40×85)/100

3400/100

is right answer

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PLEASE HELP Find the slope and equation of the tangent to each of the following curves at the given point:

Harrizon [31]

Answer:

Step-by-step explanation:

To find the slope of the tangent at a point we will find the derivative of equation at that point.

a). y = x² - 10x

$\frac{dy}{dx}=\frac{d}{dx}(x^{2} -10x)$

y' = 2x - 10

At (x = 2),

y' = 2(2) - 10

y' = 4 - 10

y' = -6

From the given equation,

y = 2² - 10

y = -6

Therefore, y-coordinate of the point is y = -6

Equation of the tangent at (2, -6) having slope = -6

y - 2 = -6(x - 2)

y - 2 = -6x + 12

y = -6x + 14

b). y = $x^{2}+\frac{2}{x}$

At x = $\frac{1}{2}$

y = $(\frac{1}{2})^2+\frac{2}{\frac{1}{2}}$

y = $\frac{1}{4}+4$

y = $\frac{17}{4}$

Now we have to find the equation of a tangent at $(\frac{1}{2},\frac{17}{4})$

y' = 2x - $\frac{2}{x^{2} }$

At x = $\frac{1}{2}$

y' = $2(\frac{1}{2})-\frac{2}{(\frac{1}{2})^2}$

y' = 1 - 8

y' = -7

Therefore, equation of the tangent at $(\frac{1}{2},\frac{17}{4})$ will be,

$y-\frac{17}{4}=-7(x-\frac{1}{2})$

y = -7x + $\frac{7}{2}+\frac{17}{4}$

y = -7x + $\frac{31}{4}$

4 0

3 years ago

Harry needs to build a fence around his garden, but first he must figure out the dimensions of his garden. The length of his rec

navik [9.2K]

Answer:

width=3m

length=9m

Step-by-step explanation:

-Let w be the width of the garden.

-Given that the length is 6 units more than the width, l=w+6

-We apply the area formula to solve for w:

$A=lw\\\\27=w(w+6)\\\\w^2+6w-27=0\\\\\#Apply \ Complete \ Squares\\\\w^2-3w+9w-27=0\\\\w(w-3)+9(w-3)=0\\\\(w-3)(w+9)=0\\\\w=3 \ \ \or w=-9\\\\\therefore w=3m\\\\l=w+6=3+6=9m$

Hence, the garden's width is 3 m and the length is 9 m

3 0

3 years ago

Identify the pattern rule for this sequence: 1, 4, 2, 8, 6, 24, 22…

Elina [12.6K]

Answer:

the first one

Step-by-step explanation:

multiply by 4 subtract 2

4 0

3 years ago

Carlo buys $14.40 worth of grapefruit. Each grapefruit costs 0.80. (PLz help and yeett) with steps plz

Zina [86]

Answer:

a) 18 grapefruits

b) 6 grapefruits

Step-by-step explanation:

a) n = 14.4 / 0.80 = 18 grapefruits

b) n = (14.4 / 3) / 0.8 = 6 grapefruits

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3 years ago

Tell whether x and y are proportional.

insens350 [35]

Pendejo Que putas es eso

5 0

3 years ago