If you want to know the value of a function, you need to substitute the variable (here n) for the value:
so in the function
9(n+2)−5n
we substitute n with 14:
<span>9(14+2)−5*14
first calculate the inside of the bracket:
</span>
<span>9*16−5*14
9 times 16 is 144
144-5*14
5*14 is 70, so we have
144-70=74
so the answer should actually be 74!
Perhaps you mistyped the questions? can you check it again, please?
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Answer:
Swimming one time around the pool is 56.5 ft
Step-by-step explanation:
Swimming 18 ft from one side of her circular pool to the other, swimming straight through the center means the circular swimming pool has a diameter of d=18 ft.
The circumference of the circle is calculated using:

where d=18 is the diameter and π=3.14 as given.
We substitute the values to get:


We approximate to the nearest tenth to get:

Answer:
The system of inequalities is
y\geq 3x-2
y<-(1/5)x+2
Step-by-step explanation:
step 1
Find the equation of the solid blue line
Let
A(0,-2), B(1,1)
Find the slope of AB
m=(1+2)/(1-0)=3
The equation of the line into slope intercept form is equal to
y=mx+b
we have
m=3
b=-2 - ----> the point A is the y-intercept
substitute
y=3x-2 - -----> equation of the solid blue line
The solution of the inequality is the shaded area above the solid line
therefore
The first inequality is
y\geq 3x-2
C(0,2), D(5,1)
step 2
Find the equation of the dashed red line
Let
Find the slope of CD
m=(1-2)/(5-0)=-1/5
The equation of the line into slope intercept form is equal to
y=mx+b
we have
m=-1/5
b=2 ----> the point C is the y-intercept
substitute
y=-(1/5)x+2 -----> equation of the dashed red line
The solution of the inequality is the shaded area below the dashed line
therefore
The second inequality is
y<-(1/5)x+2
The system of inequalities is
y\geq 3x-2
y<-(1/5)x+2
7x+3+5x²
ax²+bx+c
5x²+7x+3
Hoped this helped!
I am giving the answers only.
2/5
4/7
5/11
1/5
2/3
3/5
2/15
1/2