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Lelu [443]
1 year ago
9

A construction company pours concrete at a constant rate to make a sidewalk. There are 1,054 cubic feet of concrete available, a

nd 6.2 cubic feet of concrete is poured each minute. The equation below shows the total volume, in cubic feet, of concrete remaining t minutes after the construction company begins to pour the concrete.
C(t)=1,054−6.2tWhich statement BEST describes the domain of function C(t)?

A
The domain of C(t) is [0, 1,054] because the company can pour up to 1,054 cubic feet of concrete.

B
The domain of C(t) is (−∞, ∞) because the company can pour concrete for any number of minutes.

C
The domain of C(t) is [0, 170] because the company can pour concrete for up to 170 minutes.

D
The domain of C(t) is [170, 1,054] because the company can pour 1,054 cubic feet of c
Mathematics
1 answer:
nirvana33 [79]1 year ago
6 0

Step-by-step explanation:

The domain of C(t) is [0, 1,054] because the company can pour up to 1,054 cubic feet of concrete.

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Write the quadratic function in standard form.<br> f(x) = -x2 + 2x + 4<br> f(x) =
goldenfox [79]

Answer:

f(x)=-1(x-2)^2+8

Step-by-step explanation:

Given:

The quadratic function is given as:

f(x)=-x^2+2x+4

The standard form of a quadratic function is given as:

f(x)=a(x-h)^2+k, where, 'a', 'h' and 'k' are real numbers.

Now, in order to convert the given function to standard form, we use completing by  square method.

-x^2+2x=-(x^2-2x)=-[(x-2)^2-2^2]=-[(x-2)^2-4]=-(x-2)^2+4

Now, f(x)=-x^2+2x+4 can be rewritten as:

f(x)=-(x-2)^2+4+4\\f(x)=-1(x-2)^2+8

Therefore, the standard form of the function is:

f(x)=-1(x-2)^2+8

7 0
3 years ago
At last Friday’s football game there were a total of 573 fans in attendance, including students and non-students. Let x represen
lbvjy [14]

Answer:

y=−x+573, x+y=573

Step-by-step explanation:

3 0
3 years ago
Please help me on this it’s due now
Black_prince [1.1K]

Answer:

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7 0
2 years ago
Let H be the set of all polynomials having degree at most 4 and rational coefficients. Determine whether H is a vector space. If
Verizon [17]

Answer:

Yes. It is a vector space over the field of rational numbers \mathbb{Q}

Step-by-step explanation:

An element p of the set H has the form

p(x)=a_{0}+a_{1}x+a_{2}x^{2}+a_{3}x^{3}+a_{4}x^{4}

where a_{0},a_{1},a_{2},a_{3},a_{4} are rational coefficients.

The operations of addition and scalar multiplication are defined as follows:

p(x)+q(x)=(a_{0}+a_{1}x+a_{2}x^{2}+a_{3}x^{3}+x_{4}x^4)+(b_{0}+b_{1}x+b_{2}x^{2}+b_{3}x^{3}+b_{4}x^{4})=(a_{0}+b_{0})+(a_{1}+b_{1})x+(a_{2}+b_{2})x^{2}+(a_{3}+b_{3})x^{3}+(a_{4}+b_{4})x^{4}

\lambda p(x)=\lambda (a_{0}+a_{1}x+a_{2}x^{2}+a_{3}x^{3}+a_{4}x^{4})=\lambda a_{0}+\lambda a_{1}x+\lambda a_{2}x^{2}+\lambda a_{3}x^{3}+\lambda a_{4}x^{4}

The properties that H, together the operations of vector addition and scalar multiplication,  must satisfy are:

  1. Conmutativity
  2. Associativity of addition and scalar multiplication
  3. Additive Identity
  4. Additive inverse
  5. Multiplicative Identity
  6. Distributive properties.

This is not difficult with the definitions given. The most important part is to show that H has a additive identity, which is the zero polynomial, that is closed under vector addition and scalar multiplication. This last properties comes from the fact that \mathbb{Q} is a field, then it is closed under sum and multiplication.

7 0
3 years ago
Help!!!!! please!!!!!
GaryK [48]

Answer: D) 602.88

Step-by-step explanation:

A cylinder is basically a circle prism.  Any prism volume can be found by taking the area of the base * the height.  The circle area is 4^2*3.14 = 50.24.  Then multiply that by the height(12)  50.24*12 = 602.88

Also, so far all of your questions that I've answered have been D...

Hope it helps <3

6 0
3 years ago
Read 2 more answers
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