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Norma-Jean [14]
3 years ago
6

Evaluate the following expression when x=-5 and y=7: 4x ^2-3y-10x

Mathematics
1 answer:
olasank [31]3 years ago
3 0
Yo vivo en Granada, una ciudad pequeña que tiene monumentos muy importantes como la Alhambra.
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3 years ago
A baseball is hit into the​ air, and its height h in feet after t seconds is given by h(t)= -16t^2+128t+2. The height of the bas
tankabanditka [31]

Answer:

\large \boxed{\sf \ \text{2 feet, 4 seconds, 258 feet } \ }

Step-by-step explanation:

Hello,

To know the height of the baseball when it is hit we have to compute h(0), as t = 0 is when the baseball is hit into the air.

h(0)=-16\cdot 0^2+128 \cdot 0+2=2

So, the answer is <u>2 feet.</u>

<u />

h(x) is a parabola which can be written as ax^2+bx+c, it means that the vertex is the point (-b/2a,h(-b/2a)).

The baseball reached its maximum height after

   \dfrac{-b}{2a}=\dfrac{-128}{-2*16}=\boxed{4 \text{  seconds}}

And the maximum height of the baseball is h(4).

h(0)=-16\cdot 4^2+128 \cdot 4+2=-256+512+2=\boxed{258 \ \text{feet}}

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

8 0
3 years ago
Anthony earned $131 in tips last night while working at the restaurant. If his tips consisted of $1 bills and $5 bills only and
Nadya [2.5K]

Answer:

21

Step-by-step explanation:

Let x = $1 bill

Let y = $5bill

<em>Translating the word problem into an algebraic equation;</em>

<em>For the total number of bills;</em>

x + y = 47 .........equation 1

<em>For the total number of tips;</em>

x + 5y = 131 ..........equation 2

<em>*Solving the linear equation by using the substitution method*</em>

<em>Making x the subject in equation 1:</em>

x = 47 - y .......equation 3

<em>Substituting "x" into equation 2;</em>

(47 - y) + 5y = 131

<em>Simplifying the equation, we have;</em>

47 + 4y = 131

4y = 131 - 47

4y = 84

y = \frac {84}{4}

y = 21 (For the $5 bills).

<em>Therefore, Anthony received 21 pieces of the $5 bills.</em>

To find x;

Substituting "y" into equation 3;

x = 47 - 21

x = 26 (For the $1 bill).

6 0
3 years ago
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