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Leokris [45]
3 years ago
7

Y=f(x)=x^2+x find the slope of the secant line joining (-3,f(-3)) and (0,f(0))

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
5 0

Answer:

-2

The problem:

y=f(x)=x^2+x

find the slope of the secant line joining (-3,f(-3)) and (0,f(0))

Step-by-step explanation:

We need to first find the values that correspond to f(-3) and f(0).

f(-3) can be found by replacing the x's in f(x)=x^2+x with (-3):

f(-3)=(-3)^2+(-3)

f(-3)=9+-3

f(-3)=6

f(0) can be found by replacing the x's in f(x)=x^2+x with (0):

f(0)=(0)^2+(0)

f(0)=0+0

f(0)=0

So we want to find the slope of the line going through the points:

(-3,6) and (0,0)

Line them up-doesn't matter which point goes on top:

(-3,6)

(0,0)

---------Now subtract!

-3 , 6

The rise goes over the run so the slope is 6/-3 which simplifies to -2.

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chubhunter [2.5K]

Answer:

-1/4

Step-by-step explanation:

We can find the slope of the line given two points

m = (y2-y1)/(x2-x1)

   = (-9- -6)/(3- -9)

   = (-9+6)/(3+9)

    =-3/12

    = -1/4

8 0
3 years ago
Find the obtuse angle the line y-2x=7 makes with the x- axis
Kazeer [188]
In analytical geometry, there are already derived equations to find the distance of lines and points as well as the angle made between two lines. As special case is when the other line is one of the coordinate axis. Then, the formula can be simplified to

tan θ =m, where m is the slope of the equation

In the next step, we also incorporate operations of calculus. Since the slope is equal to Δy/Δx, this is equivalent to dy/dx in calculus. Therefore, you can find the slope by differentiating the equation in terms of x.

<span>y-2x=7
y = 2x+7
dy/dx = 2 =m

So,

tan </span>θ = 2
θ = tan⁻¹(2)
θ = 63.43°
5 0
3 years ago
i loves chick-fil-a i have 12$ in my pocket if the chicken sandwich are 2.25$ each how many chicken sandwiches can i buy
Helen [10]

Answer:

You can buy atleast 5 chicken sandwiches! (12 / 2.25 is 5.33333 (repeating))

6 0
2 years ago
Read 2 more answers
2. Why does the sin Ɵ = cos (90 – Ɵ)?<br><br><br> Show steps
Troyanec [42]

Answer:

R.H.S:

= cos ( 90 - theta )

= cos (90) cos(theta) + sin(90) sin(theta)

= 0 + sin(theta)                                                       =>[ cos(90) = 0   ,  sin(90) = 1]

= sin(theta)

8 0
3 years ago
if a sample size 40 is drawn from the population that has mean 276 and a variance of 81, what is the probability that the mean o
lapo4ka [179]

Answer:

The probability is 0.017429

Step-by-step explanation:

We start by calculating the z-score

Mathematically;

z-score = (x-mean)/SD/√n

In this case;

x = 273

mean = 276

SD = √(variance) = √81 = 9

n = 40

Substituting these values into the z-score formula, we have that;

z = (273-276)/9/√40

z = -2.11

So we proceed to get the probability

the probability in this case is;

P( z < -2.11)

We can use the normal distribution table for this

Our answer will be

P( z < -2.11) = 0.017429

4 0
3 years ago
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