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Scrat [10]
3 years ago
13

What is the slope-intercept form of the function described by this table?

Mathematics
1 answer:
IRINA_888 [86]3 years ago
4 0

Answer:

y = 5x + 3

Step-by-step explanation:

Slope = (13 - 8)/(2-1) = 5

Equation:

y - 8 = 5(x - 1)

y - 8 = 5x - 5

y = 5x - 5 + 8

y = 5x + 3 <-----------the slope-intercept form

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Verify the identity
Thepotemich [5.8K]

<u>Given</u>:

Given that we need to prove the identity \sin x+\sin x \tan ^{2} x=\tan x \sec x

<u>Proof</u>:

Step 1: Factor out the common term sin x, we get;

\sin x\left(1+\tan ^{2} x\right)=tan \ x \ sec \ x

Step 2: Using the identity 1+tan^2 x=sec^2x

\sin x \sec ^{2} x=tan \ x \ sec \ x

Step 3: Reciprocating sec x, we get;

\sin x \cdot \frac{1}{\cos ^{2} x}=tan \ x \ sec \ x

Step 4: Splitting the denominator, we have;

\frac{\sin x}{\cos x} \cdot \frac{1}{\cos x}=tan \ x \ sec \ x

Simplifying, we get;

\tan x \sec x=\tan x \sec x

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5 0
3 years ago
N
GrogVix [38]

9514 1404 393

Answer:

  (d)   f(x) = 2x^2 - 16x + 35

Step-by-step explanation:

The x-coordinate of the extreme will be found at ...

  x = -b/(2a)

where the function is f(x) = ax²+bx+c.

The extreme will be a minimum when a > 0. (eliminates choices A and B)

The x-coordinates of the extremes are ...

  C: -(-4)/(2(4)) = 1/2

  D: -(-16)/(2(2)) = 4 . . . . . matches the requirement

The appropriate choice is ...

  f(x) = 2x^2 - 16x + 35

3 0
3 years ago
A local car dealership is trying to sell all of the cars that are on the lot. Currently, there are 525 cars on the lot, and the
nekit [7.7K]
It will take about 9 weeks.
3 0
3 years ago
How many solutions does 3(2.4×+4)=4.1x+7+3.1x
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Step-by-step explanation:

3(2.4x+4)=4.1x+7+3.1x\qquad\text{use the distributive property}\\\\(3)(2.4x)+(3)(4)=(4.1x+3.1x)+7\\\\7.2x+12=7.2x+7\qquad\text{subtract}\ 7.2x\ \text{from both sides}\\\\12=7\qquad\text{FALSE}\\\\Answer:\ \text{Zero (no solutions)}.

3 0
3 years ago
[Supporting Standard: I can find the sum of an infinite series.]
Tanya [424]

Answer:

787.5 is the answer.

Step-by-step explanation:

FOLLOW ME

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please Mark as brainlist

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