Answer: m² + 3m - 10 = 0
Step-by-step explanation:
From the expression, considering
6x + 5 = m
The original expression
( 6x + 5 )² - 10 = -18 - 15
Factorize the right hand expression,
-18 - 15 = -3( 6x - 15 )
Since m = 6x + 5 , we now substitute for m in that expression
m² - 10 = -3m
Now re arrange the equation in the form,
ax² - bx + c = 0
Now back to the equation,
m² + 3m - 10 = 0,
So the equivalent equation will be
m² + 3m - 10 = 0
Answer:
$159
Step-by-step explanation:
we know that
The equation of a exponential growth function is equal to

where
y is the balance in the saving account
x is the number of years
a is the initial amount
r is the percent rate of change
we have

substitute


For x= 1 year
substitute

540, i have to write 20 characters to explain it but 540
Answer:
f(x) = -4x-1
f(7) = -(4)(7)-1
f(7) = -29
g(x) = 4x^2 - x
g(-4) = 4(-4)^2 - (-4)
g(-4) = 4(16) + 4
g(-4) = 64 + 4
g(-4) = 68
Let me know if this helps!
I graphed the given points and based on my graph.
<span>
x
y </span>→ EXPONENTIAL<span><span>
</span>
<span>
-2
21
</span><span> 1 4
</span><span> 0 1
</span><span> 1 0
</span></span><span>
x y </span>→ LINEAR<span><span>
</span>
<span>
-2 6
</span>
<span>
-1
-2
</span><span> 0 2
</span><span> 1
6
</span></span>
<span>
x y </span>→ QUADRATIC<span><span>
</span>
<span>
-2
12
</span>
<span>
-1
-2
</span><span> 0
-8
</span><span> 1
-6
</span></span><span>
<span><span>
x
y </span></span></span>→ EXPONENTIAL<span><span><span>
</span>
<span>
-2
16
</span>
<span>
-1 8
</span><span> 0 4
</span><span> 1 2
LINEAR FUNCTIONS always maintain a constant slope. In the above linear function, the slope is 4.
EXPONENTIAL and QUADRATIC FUNCTIONS have different slope in every point.
Exponential functions can be identified by the immediate increase or decrease in the value of y resulting to a minimal increase or decrease in the value of x.
Quadratic functions can be identified as such due to the similar points it has after having the vertex.
</span></span></span>