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3 years ago

Find the gradient of the curve y=(2x-3)^5 at the point (2,1)

Mathematics

2 answers:

Setler [38]3 years ago

6 0

<h3><em>Hope I helped you!</em></h3><h3><em>Success!</em></h3>

AfilCa [17]3 years ago

5 0

Answer:

(-10,1)

Step-by-step explanation:

Caculating the gradient:

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A triangle has one side that measures x, and the other two sides each measure 4 inches less than x. The perimeter is 19 inches.

zalisa [80]

Perimeter of a triangle = all 3 sides added together

x + (x - 4) + (x - 4) = 19
3x - 8 = 19
3x = 19 + 8
3x = 27
x = 27/3
x = 9 <==

6 0

4 years ago

100 POINTS FOR BRAINLIEST! according to the image, whats the answer? Answer wisely for the full 100

stepan [7]

Answer:

Step-by-step explanation:

1. To find the area of a semicircle the formula is

$A=\frac{\pi r^2}{2} \\=\frac{\pi 1^2}{2} \\=6.283m^2$

The square

$A=a^2=2^2=4m^2\\6.283+4=10.283m^2$

2. Triangle

$A=\frac{ab}{2} \\=\frac{6*2.5}{2} \\=7.5m^2\\7.5*2=15m^2$

Rectangle

$A=wl=8*13=104m^2$

$104-15=89m^2$

Semicircle

$A=\frac{\pi r^2}{2} \\=\frac{\pi 3^2}{2} \\\\=14.137m^2$

Square

$A=a^2=6^2=36$

$36-14.137=21.863m^2$

3 0

3 years ago

Read 2 more answers

Can x in f(x) be replaced by another letter? For example f(a);Would that be the same thing?

Murljashka [212]

Answer:

Yes

Step-by-step explanation:

X is just an unknown variable which can be substituted as another variating condition. I.E Function of x can be written as Function of a. If no other condition is present.

5 0

3 years ago

Read 2 more answers

What is the y value of the vertex 4x^2+8x-8

Oksana_A [137]

Answer:

The y-value of the vertex is $-12$

Step-by-step explanation:

we know that

The equation of a vertical parabola into vertex form is equal to

$f(x)=a(x-h)^{2}+k$

where

(h,k) is the vertex of the parabola

In this problem we have

$f(x)=4x^{2}+8x-8$ -----> this a vertical parabola open upward

Convert to vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$f(x)+8=4x^{2}+8x$

Factor the leading coefficient

$f(x)+8=4(x^{2}+2x)$

Complete the square. Remember to balance the equation by adding the same constants to each side

$f(x)+8+4=4(x^{2}+2x+1)$

$f(x)+12=4(x^{2}+2x+1)$

Rewrite as perfect squares

$f(x)+12=4(x+1)^{2}$

$f(x)=4(x+1)^{2}-12$

The vertex is the point $(-1,-12)$

The y-value of the vertex is $-12$

5 0

3 years ago

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The principal represents an amount of money deposited in a savings account subject to

RSB [31]

Step-by-step explanation:

So the general formula for compound interest is $A = P(1+\frac{r}{n})^{nt}$ where t is typically time in years, and n is how many times it's compounded per year. But in this case it's only compounded 1 time per year so the equation is just $A = P(1+r)^t$ . in this case P is the principal amount, r is the interest, and A is the final amount. So the 5% interest rate becomes 0.05 by dividing by 100 to convert it into decimal form and the principle amount of 11,000. This gives you the formula $A = 11000(1.05)^t$ . This is the answer to the first question where t is the time in years. When it says "Find interest earned" I'm a bit confused, is it giving you x amount of years where you have to calculate the interest earned or does it want a general equation? Because the general equation would be the final amount - the principle amount which calculates the difference. So the equation for interest earned would be $11000(1.05)^t-11000$ . To calculate the amount of money after 5 years you simply plug in 5 as t. this gives you the equation $11000(1.05)^5 \approx 11000(1.276) \approx 14,039.10$

3 0

2 years ago