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aivan3 [116]
3 years ago
12

Look at the graph. On a coordinate plane, a graph increases through (negative 1, 4), levels off at (0, negative 3), and then inc

reases up through (2, 5). Leslie analyzed the graph to determine if the function it represents is linear or non-linear. First she found three points on the graph to be (–1, –4), (0, -3), and (2, 5). Next, she determined the rate of change between the points (–1, –4) and (0, -3) to be StartFraction negative 3 minus (negative 4) Over 0 minus (negative 1) EndFraction = StartFraction 1 Over 1 EndFraction = 1. and the rate of change between the points (0, -3) and (2, 5) to be StartFraction 5 minus (negative 3) Over 2 minus 0 EndFraction = StartFraction 8 Over 2 EndFraction = 4. Finally, she concluded that since the rate of change is not constant, the function must be linear. Why is Leslie wrong? The points (–1, –4), (0, –3), and (2, 5) are not all on the graph. The expressions StartFraction negative 3 minus (negative 4) Over 0 minus (negative 1) EndFraction and StartFraction negative 3 minus (negative 5) Over 2 minus 0 EndFraction both equal 1. She miscalculated the rates of change. Her conclusion is wrong. If the rate of change is not constant, then the function cannot be linear.
Mathematics
1 answer:
Afina-wow [57]3 years ago
3 0

Answer:

Answer is A

explanation:

there is no point (0.-3) on the graph.

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Angela earns $11.50 per hour. If she works more than 40 hours a week she earns double time. This week she worked a total of 48 h
WARRIOR [948]

Answer:

11.50 x 40 regular hours is $460

double time is 11.50 x 2 = $23 an hour

She makes $23 an hour for 8 hours = $184

$460 + $184 = $644 paycheck

5 0
3 years ago
Find C to form completing Square<br> <img src="https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B5x%20%2B%20C" id="TexFormula1" title="x^
postnew [5]

Answer:

\frac{25}{4}  (or 6.25)

Step-by-step explanation:

Let's do a simple square problem to see the relationship between the elements of the resulting equation...

(x+3)(x+3) = x(x+3) + 3(x+3) = x^{2} +3x + 3x + 9 = x^{2} + 6x + 9

As you see, the number of 'x' (6) is the double of the numeric part of the binomial expression (3), while the numeric-only part (9) is the square of the numeric part of the binomial expression (3).

So, if we look at the formula from the problem, we see the the number of 'x' is 5. To obtain the C value, we need to divide the 5 by 2... then get the square value of the result.

\frac{5}{2} * \frac{5}{2} = \frac{25}{4}  (or 6.25)

3 0
3 years ago
Find the dimensions of the rectangular box with largest volume if the total surface area is given as 64cm^2
motikmotik
Let x =lenght, y = width, and z =height 
<span>The volume of the box is equal to V = xyz </span>
<span>Subject to the surface area </span>
<span>S = 2xy + 2xz + 2yz = 64 </span>
<span>= 2(xy + xz + yz) </span>
<span>= 2[xy + x(64/xy) + y(64/xy)] </span>
<span>S(x,y)= 2(xy + 64/y + 64/x) </span>
<span>Then </span>
<span>Mx(x, y) = y = 64/x^2 </span>
<span>My(x, y) = x = 64/y^2 </span>
<span>y^2 = 64/x </span>
<span>(64/x^2)^2 = 64 </span>
<span>4096/x^4 = 64/x </span>
<span>x^3 = 4096/64 </span>
<span>x^3 = 64 </span>
<span>x = 4 </span>
<span>y = 64/x^2 </span>
<span>y = 4 </span>
<span>z= 64/yx </span>
<span>z= 64/16 </span>
<span>z = 4 </span>

<span>Therefor the dimensions are cube 4.</span>
6 0
4 years ago
Lue is rolling a random number cube.the cube has six sides and each one is labeled with a different number 1 through 6.what is t
Pani-rosa [81]
The probability is 1/36.

since the cube is numbered 1-6, the only way to roll a 12 is by getting 2 six’s.

1/6 • 1/6 = 1/36
6 0
3 years ago
Mandy bought a sweater that cost d dollars. She paid the clerk $40.00. Which expression shows her purchase?
ElenaW [278]
Answer:

$40.00 - d

thats the expression
3 0
3 years ago
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