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Orlov [11]
3 years ago
15

The table summarizes the scoring of a football game between Team A and Team B. A touchdown (TD) is worth 6 points, a field goal

(FG) is worth 3 points, a safety (S) is worth 2 points, and a point after touchdown (PAT) is worth 1 point. Use matrix multiplication to find the final score.
TD FG S PAT
Team A 3 2 1 0
Team B 4 4 1 2
help is appreciated anyone to help first gets a medal
Mathematics
1 answer:
Anit [1.1K]3 years ago
3 0
If you would like to find the final score, you can do this using the following steps:

Team A: 6 points * 3 + 3 points * 2 + 2 points * 1 + 1 point * 0 = 6 * 3 + 3 * 2 + 2 * 1 + 1 * 0 = 18 + 6 + 2 + 0 = 26 points
Team B: 6 points * 4 + 3 points * 4 + 2 points * 1 + 1 point * 2 = 6 * 4 + 3 * 4 + 2 * 1 + 1 * 2 = 24 + 12 + 2 + 2 = 40 points

The final score of team A is 26 points and the final score of team B is 40 points.
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Can someone help me out with this? I’m not sure what I’m doing wrong.
Nadusha1986 [10]

Answer:


Step-by-step explanation:

This is a system of inequalities such that:

\left \{ {{2x+3y\geq 2} \atop {3x-4y\leq 3}} \right.

Let's start by solving for y for both equations:

Equation 1:

2x+3y\geq  2\\\\3y\geq -2x+2\\\\y \geq \frac{-2x+2}{3}

Equation 2:

3x-4y\leq 3\\\\-4y\leq -3x+3\\\\y\geq -\frac{(-3x+3)}{4}


Now if we substitute the 2nd y into the first equation we obtain:

2x+3(\frac{3x-3}{4}) \geq  2\\\\2x+\frac{9x-9}{4}\geq 2\\\\\frac{8x+9x-9}{4}\geq 2\\\\17x-9\geq 8\\\\17x\geq 17\\\\x\geq 1


Now we will solve for the second equation using the first result of y and we obtain:

3x-4(\frac{-2x+2}{3}\leq 3\\\\3x+\frac{8x-8}{3}\leq 3\\\\\frac{9x+8x-8}{3}\leq 3\\\\17x-8\leq 9\\\\17x\leq 17\\\\x\leq 1

And so our solution for the system of equations is:

x \leq 1\\and \\y\geq \frac{-2x+2}{3}

As well as:

x>1\\and\\y\geq \frac{3x-3}{4}


4 0
4 years ago
2n + 3 = -3.2 what is the answer to n
Vlad1618 [11]

Answer:n=-3.1

Step-by-step explanation:

2n + 3 = -3.2

Subtract 3 on both sides

2n+3-3=-3.2-3

2n=-6.2

Divide 2 on both sides

2n/2=-6.2/2

n=-3.1

6 0
3 years ago
Read 2 more answers
Aiden is grocery shopping and wants to know which packages are cheapest. He is
arlik [135]

Answer:Bottle B

Step-by-step explanation:

Given

Bottle A has 175 fluid ounce and cost \$19.25

So it cost \frac{175}{19.25}=9.09\ \text{ounce per}\ \$

Bottle B has 138 fluid ounce and cost \$8.97

So it cost \frac{138}{8.97}=15.38\ \text{ounce per}\ \$

Bottle C has 100 fluid ounce and cost \$8.0

So it cost \frac{100}{8}=12.5\ \text{ounce per}\ \$

Bottle D has 72 fluid ounce and cost \$7.56

So it cost \frac{72}{7.56}=9.52\ \text{ounce per}\ \$

So, Bottle B delivers more ounces at same price

7 0
4 years ago
1. Suppose you pay back $680 on a $650 loan you had for 75 days. What was your simple annual interest rate?
harina [27]

well, let's assume a year has 365 days, so 75 days is simply 75/365 of a year.  We also know that your loan was $650 and you paid back $680 or namely 30 bucks extra, so the interest on those $650 is really 30 bucks.

~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill &\$30\\ P=\textit{original amount deposited}\dotfill & \$650\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\to \frac{75}{365}\dotfill &\frac{15}{73} \end{cases} \\\\\\ 30 = (650)(\frac{r}{100})(\frac{15}{73})\implies 30=\cfrac{9750r}{7300}\implies 30=\cfrac{195r}{146}\implies 4380=195r \\\\\\ \cfrac{4380}{195}=r\implies \stackrel{\%}{22.46}\approx r

3 0
3 years ago
8(12+a) i need it done by today!!!
s344n2d4d5 [400]

Answer: 8+96

Step-by-step explanation: if u r lookin for the solution that’s the answer

3 0
3 years ago
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