Which best describes the relationship between the successive terms in the sequence shown?

1 answer:

6 0

<span>You almost got it. Be careful with how the question is worded. A "common difference" between these sequential numbers already indicates subtraction. So you have to answer with what number is being subtracted from each number in order to equal the next. 9 - 10 is -1. Next, -1 - 10 is -11. Thus, the common difference between successive terms here is 10. Next, the difference between -11 and -21 is 10. You could continue the sequence: -21 - 10 = -31 and so on.</span>

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1/4x - 3-4 > 4<br> PLEASE SHOW THE WORK

enot [183]

X>44

.25(x)-3-4>4
.25(x)-7>4
.25(x)>11
x>11

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2 years ago

It took Samantha 324 minuets to cook an 18 pound turkey. How many minutes per pound did it take to cook the turkey

Natalka [10]

18 min per pound

324 min. = X
______ _____
18 1 pound

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2 years ago

A solar collector is 2,0 m long by 1,5 m wide. It is held in place

icang [17]

Answer:

The width of the frame is 0.0746 meters

Step-by-step explanation:

We are told that after the frame has been attached to the solar collector, the area that is left exposed is $2.5m^2$ . As we see in the figure, the dimensions of this area are

$(w-2x)$ and $(l-2x)$

where $x$ is the width of the frame.

The product of these dimensions must equal the exposed area:

$(w-2x)(l-2x)=2.5m^2$

Now since $w=1.5m$ and $l=2m$ we have:

$(1.5-2x)(2-2x)=2.5$

we expand this and solve for x using the quadratic formula:

$4x^2-7x+3=2.5$

$4x^2-7x+0.5=0$

we get two solutions:

$x=1.6753$

$x=0.0746$

We take the second solution i.e $x=0.0746$ , because first one gives a width larger than the dimensions of the solar collector which cannot be possible.

Thus the width of the frame is 0.0746 meters.