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user100 [1]
3 years ago
12

(x2 +10x +18)÷(x + 5) Long division

Mathematics
1 answer:
pychu [463]3 years ago
6 0

Answer:

12x+18/x+5

Step-by-step explanation:

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Given the graph above find an equation for the graph and write your anwser in slope intercept form
lys-0071 [83]

<u>Given:</u>

Given that the graph of a linear function.

We need to determine the equation of the graph in slope intercept form.

<u>Slope</u>:

Consider any two coordinates from the equation of the line to determine the slope.

Let the two coordinates are (-4,3) and (4,-1)

The slope can be determined using the formula,

m=\frac{y_2-y_1}{x_2-x_1}

Substituting the coordinates in the above formula, we get;

m=\frac{-1-3}{4+4}

m=\frac{-4}{8}

m=-\frac{1}{2}

Thus, the slope of the equation is m=-\frac{1}{2}

<u>Value of y - intercept:</u>

The value of y - intercept is the value of y when x = 0.

Hence, from the graph, it is obvious that the value of y when x = 0 is 1.

Hence, the value of y - intercept is 1.

Thus, y - intercept is b=1

<u>Equation of the line:</u>

The equation of the line can be determined using the formula,

y=mx+b

Substituting the slope m=-\frac{1}{2} and the y - intercept b=1

Thus, we get;

y=-\frac{1}{2}x+1

Thus, the equation of the line is y=-\frac{1}{2}x+1

5 0
2 years ago
it takes someone 15 minutes to prepare 3 1/4 cups of juice how many hours would it take to prepare 32 1/2 cups of juice​
wariber [46]

\bf \begin{array}{ccll} minutes&\stackrel{juice}{cups}\\ \cline{1-2} 15&3\frac{1}{4}\\\\ x&32\frac{1}{2} \end{array}\implies \cfrac{15}{x}=\cfrac{3\frac{1}{4}}{32\frac{1}{2}}\implies \cfrac{15}{x}=\cfrac{\frac{3\cdot 4+1}{4}}{\frac{32\cdot 2+1}{2}}\implies \cfrac{15}{x}=\cfrac{\frac{13}{4}}{\frac{65}{2}}

\bf \cfrac{15}{x}=\cfrac{~~\begin{matrix} 13 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{\underset{2}{~~\begin{matrix} 4 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\cdot \cfrac{~~\begin{matrix} 2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{\underset{5}{~~\begin{matrix} 65 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\implies \cfrac{15}{x}=\cfrac{1}{10}\implies 150=x\leftarrow \begin{array}{llll} \textit{150 minutes or}\\\\ \textit{2 hours and a half} \end{array}

4 0
2 years ago
Solve the Equation. 20x + 12 ≥ 14x + 30 A. x ≥ 7 B. x ≤ 7 C. x ≥ 3 D. x ≤ 3
Tamiku [17]

Answer:

x≥3

Step-by-step explanation:

Treat the ≥ symbol like it is an equals sign. First, subtract 14x from each side to get 6x+12≥30. Then, Subtract 12 from each side to get 6x≥18. I will let you solve the rest :)

8 0
3 years ago
Read 2 more answers
If the second term of an arithmetic sequence is 5 and the fourth term is 12, what is the 37th term?
neonofarm [45]
By using the information in the question, find a equation in the y=mx+b form. Then, plug in 37 as the x value and solve for y.
7 0
3 years ago
Read 2 more answers
Which of the following functions best describes this graph?​
jok3333 [9.3K]
<h3>Answer: Choice C</h3>

Explanation:

The x intercepts or roots are x = 3 and x = 5, which lead to the factors x-3 and x-5 respectively.

Multiplying out those factors gets us this:

(x-3)(x-5)

x(x-5)-3(x-5)

x^2-5x-3x+15

x^2-8x+15

8 0
2 years ago
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