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AnnZ [28]
2 years ago
8

Find the coordinates of the point on the curve y = 2x² - x - 1 at which the gradient is 7

Mathematics
1 answer:
madreJ [45]2 years ago
5 0

Answer:

See below

Step-by-step explanation:

The derivative of the function is the slope

2x^2 - x -1       take derivative  ( f ' )

4x -1                 equate to 7

7 = 4x -1

x = 2        sub into the original equation to find y = 5

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Work out the volume of this prism.
a_sh-v [17]

Answer:

840

Step-by-step explanation:

Lets split the shape in 2 shapes which gives us 2 rectangular prisms

1st shape is the one stcking upward: 12*5*6=360

2nd shape: (we must subtract 5 from 15 because we used that for the other shape and hat wouldn't give us the correct answer) 10*8*6=480

480+360=

840

8 0
3 years ago
Erika is working on solving the exponential equation 50x = 17; however, she is not quite sure where to start. using complete sen
Kryger [21]

Erika is working on solving the exponential equation 50^x = 17; The solution is x = 0.7242.

<h3>What is logarithm?</h3>

When you raise a number with an exponent, there comes a result.

Let's say you get

a^b = c

Then, you can write 'b' in terms of 'a' and 'c' using a logarithm as follows

b = \log_a(c)

'a' is called base of this log function. We say that 'b' is the logarithm of 'c' to base 'a'

Erika is working on solving the exponential equation 50^x = 17;

however, she is not quite sure where to start.

The equation is

50^x = 17\\

By taking the log both sides

log_a b = x\\\\a_x = b

By using the base formula

log_0 y = \dfrac{logy}{log b}

So, log_{50} 17= x\\\\

x = \dfrac{log17}{log 50}

x = 0.7242

Learn more about logarithm here:

brainly.com/question/20835449

#SPJ1

3 0
2 years ago
Pls help with this question
Brrunno [24]
I wish i could help but i dont know the answer
7 0
3 years ago
A truck is leaving a post office and heading out to deliver mail. The table shows the truck's distance d from the post office at
zalisa [80]

Answer:

eliver mail. The table shows the truck's distance d from the post office at time t. Calculate the average rate of change over the interval from 8 to 15 minutes. t(min) d (km) 0 0 8 7 11 11 15 14 22 16 (1 point) The rate of change is about 0.8 kilometers per minute. The rate of change is 7 kilometers

7 0
3 years ago
How do i solve thiss
andrey2020 [161]

Answer:

sorry di ko alam

Step-by-step explanation:

8 0
3 years ago
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