What is the average rate of change for a

For the function f(x) = –5x, which ordered pair will be a point on the graph of the function?

goblinko [34]

f(x) = –5x
when x = 0, f(x) = –5(0) = 0

answer is D.
(0, 0)

6 0

4 years ago

Brainliest for whoever gets this right!

My name is Ann [436]

Answer:

$x=\frac{(a^2+ab)}{a-b}$

Step-by-step explanation:

So we want to make x the subject of the formula:

$a(x-b)=a^2+bx$

First, distribute the left side:

$a(x)-a(b)=a^2+bx\\ax-ab=a^2+bx$

Combine all the terms with x with it on one side. To do this, first subtract bx from both sides. The right side cancels:

$(ax-ab)-bx=(a^2+bx)-bx\\ax-ab-bx=a^2$

Remove the -ab from the left. Add ab to both sides. The left side cancels:

$(ax-ab-bx)+ab=a^2+ab\\ax-bx=a^2+ab$

Now, distribute out the x from the left side:

$ax-bx=a^2+ab\\x(a-b)=a^2+ab$

Divide both sides by (a-b). The left side cancels:

$\frac{(x(a-b))}{a-b}=\frac{(a^2+ab)}{a-b} \\x=\frac{(a^2+ab)}{a-b}$

Therefore:

$x=\frac{(a^2+ab)}{a-b}$

5 0

3 years ago

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4. What key features of a quadratic graph can be identified and how are the graphs affected when the constants or coefficients a

natka813 [3]

Standard quadratic equation .. y = a x^2 + b x + c
parabola 'a' not equal to zero 
a<0 parabola opens downward 
a>0 parabola opens upward 
when |a| >>0 the parabola is narrower 
when |a| is close to zero , the parabola is flatter 

when the constant is varied it only effects the vertical position of the parabola , the shape remains the same

6 0

3 years ago

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The triangles are similar.

MrMuchimi

25/5 = 5
and also
15/3 = 5
so
(3x+ 8)/5 = 4
3x + 8 = 20
3x = 12
x = 12/3
x = 4

answer is x = 4

7 0

4 years ago

Read 2 more answers

A wire 15 cm long is cut into two pieces. The longer piece is 3.cmidonger than the shorter piece.Find the length of the shorter

Andre45 [30]

A piece of wire is cut into two pieces. That means each part would be assigned an unknown variable. Let one part be x and the other part be y.

That means,

$x+y=15\operatorname{cm}$

If the longer part is x, and the longer part is 3cm longer than the shorter part, then we would have the following;

$\begin{gathered} x+y=15 \\ x=y+3 \\ \text{This is because x is 3cm longer,} \\ So\text{ the length of x would be y+3} \end{gathered}$

We can now refine the equation as follow;

$\begin{gathered} \text{Where;} \\ x=y+3 \\ x+y=15 \\ y+3+y=15 \\ 2y+3=15 \\ \text{Subtract 3 from both sides;} \\ 2y+3-3=15-3 \\ 2y=12 \\ \text{Divide both sides by 2;} \\ \frac{2y}{2}=\frac{12}{2} \\ y=6 \\ \text{When;} \\ x+y=15 \\ x+6=15 \\ \text{Subtract 6 from both sides;} \\ x+6-6=15-6 \\ x=9 \end{gathered}$

ANSWER:

The length of the shorter piece of wire is 6cm

7 0

1 year ago