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liq [111]
3 years ago
7

Use a graphing calculator to sketch the graph of the quadratic equation, and then state the domain and range. y = x squared + 2

x minus 5 a. D: all real numbers R: (y less-than-or-equal-to negative 6) c. D: all real numbers R: (y less-than-or-equal-to negative 5) b. D: all real numbers R: all real numbers d. D: all real numbers R: (y greater-than-or-equal-to negative 6) Please select the best answer from the choices provided A B C D
Mathematics
1 answer:
Charra [1.4K]3 years ago
6 0

Answer:

Step-by-step explanation:

y = x² + 2x - 5

d. D: all real numbers R: (y greater-than-or-equal-to negative 6)

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What is the slope of a line perpendicular to the line whose equation x+y=3. Fully simplify your answer
Tasya [4]

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

x + y =3\implies y=-x+3\implies y=\stackrel{\stackrel{m}{\downarrow }}{-1}x+3 \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill

\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{-1\implies \cfrac{-1}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{-1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{-1}\implies 1}}

3 0
2 years ago
Which equation represents a line that passes through (5, 1) and has a slope of ?
lys-0071 [83]

Answer:

y - 1 = 5(x - 5)

Step-by-step explanation:

Given the following data;

Points (x, y) = (5, 1)

Slope = ?

From the question, the value of the slope is missing. Hence, let's assume a value of 5.

Mathematically, the equation of a straight line is given by the formula;

y = mx + c

Where;

m is the slope.

x and y are the points

c is the intercept.

To find the equation of line, we would use the following formula;

y - y1 = m(x - x1)

Substituting into the formula, we have;

y - 1 = 5(x - 5)

y - 1 = 5x - 25

y = 5x - 25 + 1

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3 years ago
What is 965.000.000,000,000 in scientific notation?
dlinn [17]

The Scientific notation for above value is :

\boxed{ \boxed{9.65\times 10 {}^{14} }}

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3 years ago
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