All categories

3 years ago

15. (x - 3) If f(x) = 2x2 – 5, find the following. 16.fly-2) 17. f(a+h)-f(a)

Mathematics

1 answer:

Masteriza [31]3 years ago

8 0

Answer:

16. f(y-2) = 2(y-2)²-5

= 2(y²-4y+4)-5

= 2y²-8y+8-5

= 2y²-8y+3

17. f(a+h)-f(a) = 2(a+h)²-5-(2a²-5)

= 2(a²+2ah+h²)-5-2a²+5

= 2a²+4ah+h²-2a²

= h²+4ah

You might be interested in

The following set of ordered pairs represents a power inverse variation. Find the value of r given that k = 5.

pochemuha

Answer:

r=2

Step-by-step explanation:

y = k x^r is the formula for a direct variation

y = k x^ -r is the formula for a indirect variation

20= 5 (1/2)^ -r

Divide each side by 5

4 = (1/2) ^ -r

Rewriting

2^2 = 2^ -1 ^ -r

2^2 = 2 ^ r

The bases are the same so

2 =r

4 0

3 years ago

If (x+2) is a factor of x^3-6x^2+kx+10, k=

Alja [10]

If a binomial $(x-a)$ is a factor of a polynomial, then $a$ is a root of this polynomial.

$(x+2)=(x-(-2)) \Rightarrow a=-2\\\\
(-2)^3-6\cdot(-2)^2+k\cdot(-2)+10=0\\
-8-24-2k+10=0\\
-2k=22\\\
\boxed{k=-11}
$

3 0

3 years ago

I need with 2n-7=5n-10 also

melomori [17]

2n - 7 = 5n -10
-5n -5n
-3n - 7= -10
+7 +7
-3n = -3
-3/-3 -3/-3
n= 1

6 0

4 years ago

Work out the gradient of the line joining the points (2, 3) and (5,7)

Debora [2.8K]

Answer:

The gradient of the line joining the points $P(x,y) = (2,3)$ and $Q(x,y) = (5,7)$ is $\frac{4}{3}$ .

Step-by-step explanation:

The gradient of the line joining two distinct point on a plane is represented by the slope of a secant line ( $m_{PQ}$ ), that is:

$m_{PQ} = \frac{y_{Q}-y_{P}}{x_{Q}-x_{P}}$ (1)

If we know that $P(x,y) = (2,3)$ and $Q(x,y) = (5,7)$ , then the gradient of the line is:

$m_{PQ} = \frac{7-3}{5-2}$

$m_{PQ} = \frac{4}{3}$

The gradient of the line joining the points $P(x,y) = (2,3)$ and $Q(x,y) = (5,7)$ is $\frac{4}{3}$ .

4 0

3 years ago

Is 5,577 + 617,667 positive or negative?

raketka [301]

I’m pretty sure that’s a positive :0

7 0

3 years ago

Read 2 more answers