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kifflom [539]
4 years ago
5

Alex earned $7 per hour at his job plus an additional $50 in tips on Friday. He earned less than $99 total. Write and solve an i

nequality to determine how many hours Alex worked that Friday.
Mathematics
1 answer:
mafiozo [28]4 years ago
3 0
He worked 7 hours

y=ab+c
99=7(b)+50
49=7(b)
b=7
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Simplify the following:
Marrrta [24]

Answer:

A. 4^12

B.6^7

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Two expressions are shown below.
tankabanditka [31]

Answer:

0.25x -12= 18- 0.55x (subtract 0.25x from both sides)

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Christine’s pet bunny ate 0.513 pounds of carrots on Friday. What is this number in word form?
dexar [7]

Answer: five hundred and thirteen thousandths

Step-by-step explanation:

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2 questions! solve the linear system using substitution. SHOW WORK HELP ME PLEASE
pav-90 [236]
Get y in terms of x then substitute the expression into the other equation.

#7.
y - 2x = -6
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y gets substituted for 2x - 6
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#8.
3y + x = 2
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substitute x for 2 - 3y in the second equation
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6 0
3 years ago
Select the correct answer1 - quadratic, linear, exponential2 - 1.5, 18, 16, 123 - 16, 12, 20, 184 - 18, 6, 20, 12
Alexxandr [17]

1 - The equation is:

p(x)=-0.5x^2+6x

Since it has no variable on exponents and it has a term with x to the second power, this is a quadratic function.

2 - <em>x</em> represents the length of the tomato patch, so if we want the area of the bell pepper patch, we can input x = 8 into the function:

\begin{gathered} p(8)=-0.5\cdot8^2+6\cdot8 \\ p(8)=-0.5\cdot64+48 \\ p(8)=-32+48 \\ p(8)=16 \end{gathered}

Thus, the area is 16 square feet.

3 - Since the leading coefficient is negative, the vertex of the parabola gives the maximum value for the function.

The <em>x</em> value of the vertex is:

\begin{gathered} ax^2+bx+c \\ x_v=-\frac{b}{2a} \end{gathered}

So, in this case:

x_v=-\frac{6}{2\cdot(-0.5)}=-\frac{6}{-1}=6

And to find the value for the area, we need to input that into the function:

\begin{gathered} p(6)=-0.5\cdot6^2+6\cdot6 \\ p(6)=-0.5\cdot36+36 \\ p(6)=-18+36 \\ p(6)=18 \end{gathered}

Thus, the maximum area is 18 square feet.

4 - The value for the length of the tomato patch is just the corresponding <em>x</em> for this maximum, which we calculated as the vertex <em>x</em>:

x_v=6

Thus, the length of the tomato patch for this maximum value is 6 feet.

3 0
2 years ago
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