Hey there!
This linear equation is written in standard form, a form in which it's quite easy to find intercepts for one main reason. This reason revolves around zeros. When you see an x intercept, there's always a zero for the y, and when there's a y you see a zero for the x. Therefore, we can do this to get the intercepts.
For x:
2x-5(0) =10
2x = 10
x = (5,0)
For y:
2(0) -5y = 10
-5y=10
y= (0,-2)
Now, to find the slope, we can easily convert it to slope intercept form:
y = mx+b
Where m is the slope and b is he y intercept.
2x-5y=10
-5y=-2x+10
y = 2/5x-2
(notice how we divided both sides by -5)
Therefore, our slope is 2/5. Hope this helps!
The value of the composite function is (f/g)(5)= 26
<h3>How to evaluate the
composite function?</h3>
The functions are given as:
f(x) = x^2+1 and g(x) = x-4
To calculate the composite function, we use the following formula
(f/g)(x)= f(x)/g(x)
So, we have:
(f/g)(5)= f(5)/g(5)
Calculate f(5) and g(5)
f(5) = 5^2+1 and g(5) = 5-4
This gives
f(5) = 26 and g(5) = 1
Substitute f(5) = 26 and g(5) = 1 in (f/g)(5)= f(5)/g(5)
(f/g)(5)= 26/1
Evaluate
(f/g)(5)= 26
Hence, the value of the composite function is (f/g)(5)= 26
Read more about composite function at
brainly.com/question/10687170
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Answer:
Step-by-step explanation:
12x = 10x + 20 {Subtract 10x from both sides}
12x - 10x= 20
2x = 20 {Divide bothsides by x}
x = 20/2
x = 10
Hey there
_________________
The correct answer is:
f(x+5)=(x+5)^2+3(x+5)-10
f(x+5)=x^2+10x+25+3x+15-10
f(x+5)=x^2+13x+30 and f(x+5)=x^2+kx+30 so
k=13
Now factor x^2+13x+30
Find j and k such that jk=ac=30 and j+k+b=13 so j and k are 10 and 3 so
(x+3)(x+10)
So the two zeros occur when x=-3 and -10 the smallest of which is:
x=-10
___________________________
Hope this helps you
Answer:
well, first you'd do 13 x 4.
13x4= 52.
then do 52 times 2.
52x2= 104.
- 104 plus 13= there's the answer.
