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3 years ago

Evaluate 4x^2+3y for x=5 and y=6

Mathematics

2 answers:

olganol [36]3 years ago

3 0

Answer:

2025+18=2043

Step-by-step explanation:

larisa [96]3 years ago

3 0

Answer:

118

Step-by-step explanation:

4x^2 + 3y

4(5^2) + 3(6)

4 * 25 + 18

100 + 18

118

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Anna enjoys dinner at a restaurant in Washington DC where the sales tax on meals is 5%. She leave a 20% tip on the price of her

Maru [420]

Answer:

52.40

Step-by-step explanation:

Discussion

Suppose the meal starts out as x.

She pays 5% of x as a sales tax

So that brings the total up to 100% + 5% = 105%

Before paying, she pays 20% on x as her tip. The tax does not touch the tip.

So that brings the total up to 100% + 5% + 20% = 125% of this is based on x, the cost of the meal.

So 125% of x = 65.50 change the % to a fraction

125/100 * x = 65.50 Multiply both sides by 100/125

125/100 * 100/125x = 100/125 * 65.50

x = 100/125 * 65.50 Multiply by 100

x = 6550 / 125 Divide by 125

Check

Tax = 5% * 52.40 = 5/100 * 52.40 = 2.62

Tip = 20%*52.40 = 20/100 * 52.40=10.48

Meal = 52.40

Total 65.50 Just as it should

8 0

3 years ago

Amy plays a game with an ordinary, fair dice.

rjkz [21]

Answer:

Ok so I’m stuck with this question too But I got the top part.

p=1/6

q=2/6

r=3/6

s=3/6

8 0

3 years ago

Find the value of f(-8).

fredd [130]

Answer:

-8f

Step-by-step explanation:

5 0

3 years ago

Which equation can be used to find how much of a 50 g sample of nitrogen-16 is left after 7 minutes?

miv72 [106K]

Answer:

Step-by-step explanation:

50(0.5) square 50

8 0

3 years ago

Can someone please help me with my Question #29 of The Quadratic Relations for me please?

lara [203]

Answer:

Calculate the first differences between the y-values:

$\sf 3 \underset{+1}{\longrightarrow} 4 \underset{+3}{\longrightarrow} 7 \underset{+5}{\longrightarrow} 12 \underset{+7}{\longrightarrow} 19$

As the first differences are not the same, we need to calculate the second differences:

$\sf 1 \underset{+2}{\longrightarrow} 3 \underset{+2}{\longrightarrow} 5 \underset{+2}{\longrightarrow} 7$

As the second differences are the same, the relationship between the variable is quadratic and will contain an $x^2$ term.

--------------------------------------------------------------------------------------------------

To determine the quadratic equation

The coefficient of $x^2$ is always half of the second difference.

As the second difference is 2, and half of 2 is 1, the coefficient of $x^2$ is 1.

The standard form of a quadratic equation is: $y=ax^2+bx+c$

(where a, b and c are constants to be found).

We have already determined that the coefficient of $x^2$ is 1.

Therefore, a = 1

From the given table, when $x=0$ , $y=12$ .

$\implies a(0)^2+b(0)+c=12$

$\implies c=12$

Finally, to find b, substitute the found values of a and c into the equation, then substitute one of the ordered pairs from the given table:

$\begin{aligned}\implies x^2+bx+12 & = y\\ \textsf{at }(1,19) \implies (1)^2+b(1)+12 & = 19\\ 1+b+12 & = 19\\b+13 & =19\\b&=6\end{aligned}$

Therefore, the quadratic equation for the given ordered pairs is:

$y=x^2+6x+12$

7 0

2 years ago