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3 years ago

Hi. I need help wih this question (see image). Please show workings.

Mathematics

1 answer:

Kipish [7]3 years ago

4 0

Answer:

$\frac{dy}{dx}$ = 12x³ - 6x² - 7

Step-by-step explanation:

Differentiate each term using the power rule

$\frac{d}{dx}$ (a $x^{n}$ ) = na $x^{n-1}$

Given

y = 3 $x^{4}$ - 2x³ - 7x + 5, then

$\frac{dy}{dx}$ = 4.3 $x^{4-1}$ - 3.2 $x^{3-1}$ - 7 $x^{1-1}$ + 0

= 12x³ - 6x² - 7

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Circle X has radius r X = 6 units and circumference C X = 12 π units. Circle Y has circumference C Y = 6 units. Which equation i

slega [8]

Answer:

$ry=\frac{rx}{2\pi }$

Step-by-step explanation:

we know that

The circumference of a circle is equal to

$C=2\pi r$

we have

<em>Circle X</em>

$rx=6\ units$

$Cx=12\pi\ units$

<em>Circle Y</em>

$Cy=6\ units$

Find the radius ry

we know that

$Cy=2\pi ry$

substitute the value of Cy

$6=2\pi ry$

$ry=\frac{6}{2\pi }$

Remember that the value of rx is $rx=6\ units$

substitute

$ry=\frac{rx}{2\pi }$

6 0

3 years ago

Segment CD has endpoints (-4, 3) and (8, -1). Find the coordinates of the point that divides the line segment directed from C to

Diano4ka-milaya [45]

Answer:

$A(0.8,\ 1.4)\ \text{or }\ A\left(\dfrac{4}{5},\dfrac{7}{5}\right)$

Step-by-step explanation:

If point $A(x,y)$ divides the segment with endpoints $C(x_1,y_1)$ and $D(x_2,y_2)$ in the ratio $m:n,$

then

$x=\dfrac{nx_1+mx_2}{m+n}\\ \\y=\dfrac{ny_1+my_2}{m+n}$

In your case,

$C(-4,3)\\ \\D(8,-1)\\ \\m:n=2:3$

then

$x=\dfrac{3\cdot (-4)+2\cdot 8}{2+3}=\dfrac{-12+16}{5}=\dfrac{4}{5}=0.8\\ \\y=\dfrac{3\cdot 3+2\cdot (-1)}{2+3}=\dfrac{9-2}{5}=\dfrac{7}{5}=1.4$

Thus,

$A(0.8,\ 1.4)\ \text{or }\ A\left(\dfrac{4}{5},\dfrac{7}{5}\right)$

3 0

3 years ago

Will the following measurements create a triangle? 25 25 130

WINSTONCH [101]

Answer:

if those measurements are degrees, then yes. If those measurements are the side lengths, then no.

Step-by-step explanation:

all angles on a triangle must had up to 180 degrees.

the two smaller sides of the triangle must add up to be larger than the largest side.

7 0

3 years ago

Christina is building a slide for her kids. The ladder is 4 feet tall and the slide is 9 feet long. What is the distance between

xxMikexx [17]

Answer: 8.1ft

Step-by-step explanation:

It may help to draw it out but for this question you would have to use pythagoras' theorem.

The formula for the shorter side is a²=c²-b²

The height of this triangle is 4ft (b) and the hypotenuse (the diagonal that stretches from the top to the bottom) is 9ft (c).

When we put the numbers in the formula you get a²=9²-4²

9²=81

4²=16

a²=81-16

a²=65

Then because we want to find a on it's own you would have to square root 65 which is 8.1 (to the nearest tenth)

7 0

3 years ago

Please help me with this

Y_Kistochka [10]

Answer:

Step-by-step explanation:

x^3 - 3x^2 -24x +7

Find the derivative of this: which is,

3x^2 - 6x -24

in order to find the minimum you must set it up equal to 0

0 = 3x^2 - 6x -24

0 = 3(x^2 -2x -8)

0 = (x-4)(x+2)

x= 4

x=-2

Ignore the negative 2 answer, because it is unrealistic!

Hence, velocity is: 4 cm/sec

3) and 8) aren't visible, hence, i can't answer them

9) a. (-1,1/2) is where the f is both decreasing and concave down as shown in the graph down below.

Hope this helps!

Please mark brainliest if you think I helped! Would really appreciate!

8 0

3 years ago

Hi. I need help wih this question (see image). Please show workings.​

Hi. I need help wih this question (see image). Please show workings.