We have that
1 1/2 acres-------------> 1.5 acres
one hour----------------> 60 minutes

Step 1
I proceed to make a rule of three
if Jami can now mow 1/6 acre -----------------------> in 8 minutes
1.5 acres----------------------------------------------> X
X=1.5*8/(1/6)=72 minutes

72 minutes > 60 minutes

therefore
Jami can not mow 1 1/2 acres in an hour
The time required by jami to mow 1 1/2 acres is 72 minutes

3 0

2 years ago

Graph each absolute value function. State the domain, range, and y-intercept.

Paraphin [41]

Answer:

i)D: $x\in R$

ii)R: $y\ge-3$

iii) Y-int:(0,-1)

Step-by-step explanation:

i) The given absolute value function is;

$f(x)=|x+2|-3$ .

The absolute value function is defined for all real values of x.

The domain is all real numbers.

ii) The range is all y-values that will make x defined.

The given function,

$f(x)=|x+2|-3$ .

has vertex at, (-2,-3) and opens upwards.

This implies that, the minimum y-value is -3.

The range is $y\ge-3$

iii) To find the y-intercept substitute x=0 in to the function.

$f(0)=|0+2|-3$ .

$f(0)=|2|-3$ .

$f(0)=2-3$ .

$f(0)=-1$ .

The y-intercept is (0,-1)

See attachment for graph.

6 0

3 years ago

the product of two consecutive integers n and n+1 is 42. what is the positive integer that satisfies the situation?

MrMuchimi

$n(n+1)=42 \\
n^2+n=42 \\
n^2+n-42=0 \\ \\
a=1 \\ b=1 \\ c=-42 \\ b^2-4ac=1^2-4 \times 1 \times (-42)=1+168=169 \\ \\
n=\frac{-b \pm \sqrt{b^2-4ac}}{2a}=\frac{-1 \pm \sqrt{169}}{2 \times 1}=\frac{-1 \pm 13}{2} \\
n=\frac{-1 -13}{2} \ \lor \ n=\frac{-1+13}{2} \\
n=\frac{-14}{2} \ \lor \ n=\frac{12}{2} \\
n=-7 \ \lor \ n=6$

The positive integer is 6.
The consecutive integers are 6 and 7.

8 0

3 years ago

Margie is planning a dinner banquet. The equation

Komok [63]

Answer:

the x is the independent variable so the guests the y is the dependent variable so the cost.

Step-by-step explanation:

because so when there are 100 people there is 4,200 +750 and the cost is 4,950

8 0

2 years ago