5. Which equation is an open sentence?

tiny-mole [99]

The correct answer is: [D]: " y = - 4x − 13 " .
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Explanation:
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All the answer choices given are written in "point-slope format" (also known as "slope-intercept format" — that is: " y = mx + b" .

All of the answer choices given have a slope of "-4" ; that is: "m = -4" .
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          The only answer choice with the equation that passes through point
"(-3, 1)" — that is, when "x = -3, y = 1"   — is:
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                    Answer choice: [D]: " y = - 4x − 13 " .
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In the equation: " y = - 4x − 13 " ; when "x = - 3, y = 1" .
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Given: " y = - 4x − 13 " ;

↔   - 4x − 13 = y ;

Plug in "(-3)" for "x" ; and see that "y = 1" ;

         -4(-3) − 13 = y ;

          12 − 13 = y = -1 ;
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So, when x = -3, y = 1 .
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The correct answer is: [D]: " y = - 4x − 13 " .
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Consider choice: [A]: " y = - 4x + 13 " ;
Substitute "(-3)" for "x" and see if "y = -1" ;
-4(-3) + 13 = y ; 12 + 13 = 25 ; NOT "-3" .
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Consider choice: [B]: " y = - 4x + 7 " ;
Substitute "(-3)" for "x" and see if "y = -1" ;
-4(-3) + 7 = y ; 12 + 7 = 19 ; NOT "-3" .
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Consider choice: [C]: " y = - 4x − 7 " ;
Substitute "(-3)" for "x" and see if "y = -1" ;
-4(-3) − 7 = y ; 12 − 7 = 9 ; NOT "-3" .
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This leaves us with "Answer choice: [D]: " y = - 4x − 13 " ; the only remaining answer choice; which we have already confirmed is correct; so we do not need to check.
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Hope this helps!
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4 0

3 years ago

Can anybody help me please hurry

zhuklara [117]

Yoo kid for these type of problems your better o go with an app called Photomath

8 0

3 years ago

Let g be the function given by g(x) = −3x2 − 2x + 3. Evaluate g(−2). A) g(−2) = 5 B) g(−2) = 19 C) g(−2) = −5 D) g(−2) = −19

Mars2501 [29]

Answer: C. g(-2) = -5

<u>Step-by-step explanation:</u>

g(-2) is when you replace all of the x's in the function with -2

g(x) = -3x² - 2x + 3

g(-2) = -3(-2)² - 2(-2) + 3

= -3(4) + 4 + 3

= - 12 + 4 + 3

= -12 +7

= -5

5 0

3 years ago

Read 2 more answers

Help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Svetllana [295]

Best guess is it’s the second one but I believe it’s between A and B sorry If I’m wrong.

4 0

3 years ago

A figure is broken into a rectangle and a triangle. The triangle has a base of 2 and two-thirds feet and height of 3 feet. The r

ohaa [14]

Answer:

$b=2\frac23\:\sf ft$

Area of triangle = 4 ft²

Area of rectangle = $6\frac23\: \sf ft^2$

Area of irregular figure = $10\frac23\: \sf ft^2$

Step-by-step explanation:

$\begin{aligned}\sf Base\:of\:triangle\:(b) & = 5-2\frac13\\\\& = \dfrac{15}{3}-\dfrac73\\\\ & = \dfrac83\\\\ & = 2\frac23\:\sf ft \end{aligned}$

$\begin{aligned}\sf Area\:of\:a\:triangle & =\dfrac12 \sf \times base \times height\\\\& = \dfrac12 \times b \times 3\\\\ & = \dfrac12 \times \dfrac83 \times \dfrac31\\\\ & = \dfrac{24}{6}\\\\ & = 4\: \sf ft^2\end{aligned}$

$\begin{aligned}\sf Area\:of\:rectangle& =\sf length \times width\\\\& = 5 \times 1\frac13\\\\ & = \dfrac51\times \dfrac43\\\\& = \dfrac{20}{3}\\\\ & = 6\frac23\: \sf ft^2\end{aligned}$

$\begin{aligned} \sf Area\:of\:irregular\:figure & = \sf area\:of\:triangle+area\:of\:rectangle\\\\ & = 4 + 6\frac23\\\\ & = 10\frac23\: \sf ft^2\end{aligned}$

5 0

2 years ago

Read 2 more answers