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IRISSAK [1]
3 years ago
13

Find the slope of the line that contains the points (11, 8) and (17, 26)

Mathematics
2 answers:
amm18123 years ago
5 0

Answer:

3

Step-by-step explanation:

We can use the slope formula:

m=\frac{y_2-y_1}{x_2-x_1}

Let's let (11,8) be x₁ and y₁ and let's let (17,26) be x₂ and y₂. So:

m=\frac{26-8}{17-11}

Subtract:

m=18/6=3

So, our slope is 3.

And we're done!

Sunny_sXe [5.5K]3 years ago
5 0

Answer:

Step-by-step explanation:

(26 - 8)/(17 - 11)= 18/6 = 3 is the slope

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Write an equation for a quadratic function that has x intercepts (-3, 0) and (5, 0)
Blizzard [7]

Answer:

One possible equation is f(x) = (x + 3)\, (x - 5), which is equivalent to f(x) = x^{2} - 2\, x - 15.

Step-by-step explanation:

The factor theorem states that if x = x_{0}  (where x_{0} is a constant) is a root of a function, (x - x_{0}) would be a factor of that function.

The question states that (-3,\, 0) and (5,\, 0) are x-intercepts of this function. In other words, x = -3 and x = 5 would both set the value of this quadratic function to 0. Thus, x = -3\! and x = 5\! would be two roots of this function.

By the factor theorem, (x - (-3)) and (x - 5) would be two factors of this function.

Because the function in this question is quadratic, (x - (-3)) and (x - 5) would be the only two factors of this function. In other words, for some constant a (a \ne 0):

f(x) = a\, (x - (-3))\, (x - 5).

Simplify to obtain:

f(x) = a\, (x + 3)\, (x - 5).

Expand this expression to obtain:

f(x) = a\, (x^{2} - 2\, x - 15).

(Quadratic functions are polynomials of degree two. If this function has any factor other than (x - (-3)) and (x - 5), expanding the expression would give a polynomial of degree at least three- not quadratic.)

Every non-zero value of a corresponds to a distinct quadratic function with x-intercepts (-3,\, 0) and (5,\, 0). For example, with a = 1:

f(x) = (x + 3)\, (x - 5), or equivalently,

f(x) = x^{2} - 2\, x - 15.

6 0
2 years ago
Find the final cost of an item that was originally price at $245 with a 15% discount and a 6% tax. Please help this is My last q
Soloha48 [4]

Answer:

12

Step-by-step explanation:

8 0
3 years ago
What are the zeros of the quadratic function? f(x)=2x2+x-3
alexgriva [62]

Answer: The zeros of the  quadratic function  are: 5/2+(1/2)*sqrt(31), 5/2-(1/2)*sqrt(31)

                 

Step-by-step explanation:

6 0
3 years ago
17)Let f(x) = -2x + 5 and g(x) = 9x2 + 4. Find f(8) + g(8) . A)565 B)569 C)564 D)560​
siniylev [52]

Answer:

answer B \boxed{ \ 569 \ }\\

Step-by-step explanation:

f(8)=-2*8+5=-11

g(8)=9*8*8+4=580

f(8)+g(8)= -11+580=569

4 0
3 years ago
A parking garage charges a 3.50$ base fee plus an hourly rate of 7.00$. If you have at most 21.50$ to pay for parking, how long
pentagon [3]

Answer:

You get a total of two hours of parking.

Step-by-step explanation:

First, you subtract the base fee of $3.50, which gives you $18.00. Then you subtract as many sevens there are in 18, which is two. And then your answer is shown, as two. Hope this helps!

3 0
3 years ago
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