Answer:
(f - g)(x) = x² - 3x - 70
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = x² - 2x - 63
g(x) = x + 7
(f - g)(x) is f(x) - g(x)
<u>Step 2: Find (f - g)(x)</u>
- Substitute: (f - g)(x) = x² - 2x - 63 - (x + 7)
- Distribute -1: (f - g)(x) = x² - 2x - 63 - x - 7
- Combine like terms (x): (f - g)(x) = x² - 3x - 63 - 7
- Combine like terms (Z): (f - g)(x) = x² - 3x - 70
Given:
The number of teeth = t = 25
The gear is driven by a 10-tooth driver gear (T) at 250 RPM
Let the speed = s
So, using the ratio and proportion
Solve for s:
So, the fear will be driven by 625 RP
The answer for this is 37.5. I can't show the work because i searched it up on Google.
There are 6 different sides you can land on with a dice. So the probability of rolling any one side is 1/6. The probability of NOT rolling a 5 is the same thing as rolling anything except a 5. So that probability will be 5/6.
Answer:
(3x+1)(x+3) is the factorised form for the expression.
Step-by-step explanation:
:3
x
2
+
10
x
+
3
We can Split the Middle Term of this expression to factorise it.
In this technique, if we have to factorise an expression like
a
x
2
+
b
x
+
c
, we need to think of 2 numbers such that:
N
1
⋅
N
2
=
a
⋅
c
=
3
⋅
3
=
9
and,
N
1
+
N
2
=
b
=
10
After trying out a few numbers we get:
N
1
=
9
and
N
2
=
1
9
⋅
1
=
9
, and
9
+
(
1
)
=
10
3
x
2
+
10
x
+
3
=
3
x
2
+
9
x
+
1
x
+
3
=
3
x
(
x
+
3
)
+
1
(
x
+
3
)
(
3
x
+
1
)
(
x
+
3
)
is the factorised form for the expression.
is the factorised form for the expression.
