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2 years ago

Draw the graph of 2y=2x+8 Need Help with this. To name the Slope.

Mathematics

1 answer:

dusya [7]2 years ago

8 0

Solve for y (change the equation to slope-intercept form.
2y = 2x + 8. Divide each term by 2
y = x + 4.
So slope is 1

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Suppose y = 48 + 3(2n - 1) is an explicit representation of an arithmetic sequence for integer values n ≥ 1. Find the xth partia

omeli [17]

$a_n=48+3(2n-1)$

The formula of the sum of the arithmetic sequence:
$S_n=\dfrac{a_1+a__n}{2}\cdot n$
calculate:
$a_1=48+3(2\cdot1-1)=48+3=51$
substitute
$S_n=\dfrac{51+48+3(2n-1)}{2}\cdot n=\dfrac{99+6n-3}{2}\cdot n=\dfrac{96+6n}{2}\cdot n=3n^2+48n$
Your answer is:
$\boxed{f(x)=3x^2+48x}$

5 0

2 years ago

Read 2 more answers

Dan drank 7/8 of a bottle of water During basketball practice. He then drank Another 4/8 of a bottle after practice. How much wa

Lina20 [59]

Answer:

In total Dan dranked 11/8 of his bottle or as a mixed number 1 and 3/8 of his bottle.

Step-by-step explanation:

6 0

3 years ago

Pls solve and show the steps, I'll give brainliest to whoever replies first and accurately

AleksandrR [38]

3(x-1) = 2x - y

3x-3 = 2x-y

3x-2x+y = 3

x + y = 3 ----> (1)

2(x+y) = 3+3y

2x + 2y = 3 + 3y

2x + 2y - 3y = 3

2x - y = 3 -----> (2)

make equation (1) and (2) together

x + y + 2x - y = 3+3

3x = 6

x = 2

now make x = 2 in equation (1)

x + y = 3

2 + y = 3

y = 3-2

y = 1

(x,y) = (2,1)

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2 years ago

A machine in a laboratory is set to steadily increase the temperature inside. The temperature in degrees Celsius inside the mach

vaieri [72.5K]

Answer:

1) f(3) means the temperature after 3 seconds

2) f(3) = 22 + 1.3(3) = 25.9

Temperature after 3 seconds is 25.9°C

3) f(t) = 35 means after t seconds, temperature was 35°C

4) 35 = 22 + 1.3t

1.3t = 13

t = 10 seconds

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2 years ago

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A system of equations is shown below. Which of the following statements describes the graph of this system of equations in the (

ollegr [7]

The given system of equations represent a single line with positive slope. So option C is correct.

<u>SOLUTION: </u>

Given system of equations are

$\begin{array}{l}{3 y-5 x=15 \rightarrow(1)} \\\\ {6 y-10 x=30 \rightarrow(2)}\end{array}$

Now, if we observe, $(1) \times 2 \rightarrow(2)$ multiplying the $1^{st}$ equation with 2 results in $2^{nd}$ equation.

which means the two line equations represents the same line.

Now, let us find the slope of line, $\text { slope }=\frac{-x \text { coefficient }}{y \text { coefficient }}=\frac{-3}{-5}=\frac{3}{5}=\text { positive slope }$

So, the line has a positive slope.

5 0

3 years ago

Draw the graph of 2y=2x+8​ Need Help with this. To name the Slope.

Draw the graph of 2y=2x+8 Need Help with this. To name the Slope.