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3 years ago

Manuel builds and sells wooden crates. He made a table to show how much his crates cost.

Mathematics

2 answers:

Westkost [7]3 years ago

6 0

The correct answer is 75 :)

Naddika [18.5K]3 years ago

5 0

The answer is $87.50.

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The height of the tunnel at the center is 35ft, and the vertical clearance must be 21 ft at a point of 8ft from the center. Find

Zinaida [17]

Answer:

y=-0.215x^2+35

Step by Step:

Let, $h=0$ , $k=35$ , $x=8$ , $y=21$

We know that, the general equation of the parabola.

$y-k = a(x-h)^2$

$\Rightarrow y=a(x-h)^2+k .........(i)$

Substitute the value of $h, k, x, y$ in equation $(i)$ and find the value of $a.$

$21=a(8-0)^2+35$

$\Rightarrow 21=a\times 8^2+35$

$\Rightarrow 21=64a+35$

$\Rightarrow 64a=21-35$

$\Rightarrow 64a=-14$

$\Rightarrow a=\frac{-14}{65}$

$\Rightarrow a=-0.215$

Hence, the equation of the parabola is:

$y=-0.215x^2+35$

8 0

2 years ago

-2(7 + y) ≥ -8(y + 1)<br> Write the solution to each inequality.

zhenek [66]

Answer:

y > 1

Step-by-step explanation:

6 0

2 years ago

If f is a function, then f(3x)=3f(x)

Delvig [45]

This is false.
The f(3x) means you are multiplying the input 'x' by 3 before plugging into the equation.
3f(x) means you are going to multiply your answer (output) by 3 after you've plugged the input value in and gotten the output.

7 0

3 years ago

Three consecutive odd integers are such that the square of the third integer is 1515 greater than greater than the sum of the sq

Ksju [112]

Let
x-----------> first <span>odd integer
x+2--------> second consecutive odd integer
x+4-------> third consecutive odd integer

we know that
(x+4)</span>²=15+x²+(x+2)²-------> x²+8x+16=15+x²+x²+4x+4
x²+8x+16=19+2x²+4x-------> x²-4x+3
x²-4x+3=0

using a graph tool----------> to calculate the quadratic equation
see the attached figure
the solution is
x=1
x=3

the answer is
the first odd integer x is 1
the second consecutive odd integer x+2 is 3
the third consecutive odd integer x+4 is 5

7 0

3 years ago

A small, upscale boutique examines the income of 10 random households to determine if the community will be a good location for

USPshnik [31]

The correct answer for the question that is being presented above is this one: "D) The boutique will not locate a store in a community where everyone does not make at least $100,000. " The likely reason that the boutique chooses not to locate in the community is that the boutique will not locate a store in a community where everyone does not make at least $100,000.

7 0

3 years ago