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1 year ago

100 points 1942 divded by 2^4

Mathematics

1 answer:

NARA [144]1 year ago

5 0

Answer: 121.375

Step-by-step explanation:

$2^4=16$

$\frac{1942}{2^4}$

$\frac{1942}{16}=121.375$

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Can someone explain this differentiation question to me? I can differentiate but then I'm not sure what I am doing

weeeeeb [17]

note that gradient = $\frac{dy}{dx}$ at x = a

calculate $\frac{dy}{dx}$ for each pair of functions and compare gradient

(a)

$\frac{dy}{dx}$ = 2x and $\frac{dy}{dx}$ = - 1

at x = 4 : gradient = 8 and - 1 : 8 > - 1

(b)

$\frac{dy}{dx}$ = 2x + 3 and $\frac{dy}{dx}$ = - 2

at x = 2 : gradient = 7 and - 2 and 7 > - 2

(c)

$\frac{dy}{dx}$ = 4x + 13 and $\frac{dy}{dx}$ = 2

at x = - 7 : gradient = - 15 and 2 and 2 > - 15

(d)

$\frac{dy}{dx}$ = 6x - 5 and $\frac{dy}{dx}$ = 2x - 2

at x = - 1 : gradient = - 11 and - 4 and - 4 > - 11

(e)

y = √x = $x^{\frac{1}{2} }$

$\frac{dy}{dx}$ = 1/(2√x) and $\frac{dy}{dx}$ = 2

at x = 9 : gradient = $\frac{1}{6}$ and 2 and 2 > $\frac{1}{6}$

4 0

3 years ago

Multiply the sum of -13/8 and 5/12 by their difference.

REY [17]

Answer:

1421/576

Step-by-step explanation:

Sum = - 13/8 + 5/12 = - 39/24 + 10/24 = - 29/24

Difference = - 13/8 - 5/12 = - 39/24 - 10/24 = - 49/24

Sum * Difference = (-29/24)*(-49/24) = 1421/576

6 0

1 year ago

The image of a parabolic lens is traced onto a graph. The function f(x) = (x + 8)(x – 4) represents the image. At which points d

alexandr402 [8]

Answer:

x = -8 and x = 4

Step-by-step explanation:

given

f(x) = (x+8) (x - 4)

recall that at any point on the x-axis, y = 0 [i.e f(x) = 0]

hence to find where the graph crosses the x-axis, we simply substitue f(x) = 0 into the equation and solve for x

f(x) = (x+8) (x - 4)

0 = (x+8) (x - 4)

Hence

either,

(x+8) = 0 ----> x = -8 (first crossing point)

(x-4) = 0 ------> x = 4 (second crossing point)

Hence the graph crosses the x-axis at x = -8 and x = 4

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2 years ago

Suppose f(x) = x2 and g(x) = 2x − 3. What is the value of g(4) + f(−3)?

MAVERICK [17]

In order to find the value of g(4)+f(-3), we must substitute those values into the functions first.

Substitute -3 into f(x).

f(x)=x²

f(-3)=(-3)²

f(-3)=9

Substitute 4 into g(x).

g(x)=2x-3

g(4)=2(4)-3

Using the rules of PEMDAS, multiply first then subtract.

g(4)=8-3

g(4)=5

Therefore, if f(-3) is 9 and g(4) is 5, we must add the two values together.

5+9=14

<u>The value of g(4)+f(-3) is 14.</u>

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3 years ago

P105a06.sas are the same statistics in the report and data? what do the first 5 rows in the data represent?

ehidna [41]

Since P105a06.sas are the same statistics in the given report and data for this lab, we can infer and logically deduce that the first 5 rows in the data means the statistics are different.

SAS is an abbreviation for Statistical Analysis System and it can be defined as a statistical software suite which was developed at North Carolina State University by SAS Institute for the following field of study:

Business intelligence

Criminal investigation

Data management

Multivariate analysis

Advanced analytics

Predictive analytics

Since it has been stated that P105a06.sas are the same statistics in the given report and data for this lab, we can infer and logically deduce that the first 5 rows in the data means the statistics are different.

Read more on Statistical Analysis here: brainly.com/question/24439065

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6 months ago