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4 years ago

Evaluate and simplify

Mathematics

1 answer:

nekit [7.7K]4 years ago

6 0

Answer:

5r +7s -3(r+s) + 4 = 5r +7s - 3r -3s +4 = 2r +4s +4 = 2(r +2s +2)

when sub r=2, s=3,

2(2+2(3) +2) = 20

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Question 9 (5 points)

Sunny_sXe [5.5K]

to get the equation of any straight line, we simply need two points off of it, let's use those two points from the table in the picture below.

$(\stackrel{x_1}{-4}~,~\stackrel{y_1}{13})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{-17}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-17}-\stackrel{y1}{13}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{(-4)}}} \implies \cfrac{-30}{6 +4} \implies \cfrac{ -30 }{ 10 }\implies -3$

$\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{13}=\stackrel{m}{-3}(x-\stackrel{x_1}{(-4)}) \\\\\\ y-13=-3(x+4)\implies y-13=-3x-12\implies y=-3x+1$

8 0

2 years ago

Which choices correctly describe reflections in the diagram? Check all that apply.

inessss [21]

Answer:

.................................................

8 0

4 years ago

Read 2 more answers

(6+u)^2<br><br> simplify w/o parentheses<br><br> i will mark brainliest

elena55 [62]

Rules to use
Rule 1: x^2 = x*x
Rule 2: (a+b)*(c+d) = a*(c+d)+b*(c+d)
Rule 3: a*(b+c) = a*b+a*c

Using those rules, we get the following
(6+u)^2 = (6+u)*(6+u) ... use rule 1
(6+u)^2 = 6*(6+u)+u*(6+u) ... use rule 2
(6+u)^2 = 6*6+6*u+u*6+u*u ... use rule 3
(6+u)^2 = 36+6u+6u+u^2 ... multiply
(6+u)^2 = u^2+12u+36 ... combine like terms and rearrange

Answer: u^2+12u+36

4 0

3 years ago

A bank manager wants to determine the percent of time the bank's tellers are working and idle. He decides to use work sampling,

adelina 88 [10]

Answer:

246

Step-by-step explanation:

In the statment is defined our Values.

First que have a 95% Confidence interval

That is exactly in a Standar normal distribution table equal to Z Score = 1.96

The proportion $\hat{p}$ = 0.20

And we can and Margin Error (ME) equal to 0.05

Using the formula for the Sample Size (N) through Proportion we have,

$N= \frac{Z_{score}^2*\hat{p}*(1-\hat{p})} {ME^2}$

$N= \frac{1.96^2* 0.20 * (1-0.20)}{0.05^2}$

$N= 245.86$ or 246

4 0

3 years ago

If f(x)=2x-1+3 and g(x)=5x-9, what is (f-g)(x)?

dangina [55]

Answer:

$\large\boxed{(f-g)(x)=-3x+11}$

Step-by-step explanation:

$(f-g)(x)=f(x)-g(x)\\\\f(x)=2x-1+3=2x+2\\g(x)=5x-9\\\\\text{Substitute:}\\\\(f-g)(x)=(2x+2)-(5x-9)\\\\=2x+2-5x-(-9)\\\\=2x+2-5x+9\qquad\text{combine like terms}\\\\=(2x-5x)+(2+9)\\\\=-3x+11$

8 0

4 years ago