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1 year ago

Javier simplified the expression below. Find and

Mathematics

1 answer:

SpyIntel [72]1 year ago

4 0

Answer:

Step-by-step explanation:

Javier did not raise the coefficients to the third power

When Javier raised $x$ to the third power, he wrote that $(x^1)^3=x^4$ , but it equals $x^3$ .

In the last step, Javier divided the exponents. He should have used the quotient of powers property and subtracted them.

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Trapezoid A B C D is shown. Sides A B and D C are parallel. Sides A D and B C are congruent. Angle B is (3 x) degrees and angle

photoshop1234 [79]

Answer: The value of x in trapezoid ABCD is 15

Step-by-step explanation: The trapezoid as described in the question has two bases which are AB and DC and these are parallel. Also it has sides AD and BC described as congruent (that is, equal in length or measurement). These descriptions makes trapezoid ABCD an isosceles trapezoid.

One of the properties of an isosceles trapezoid is that the angles on either side of the two bases are equal. Since line AD is equal to line BC, then angle D is equal to angle C. It also implies that angle A is equal to angle B.

With that bit of information we can conclude that the angles in the trapezoid are identified as 3x, 3x, 9x and 9x.

Also the sum of angles in a quadrilateral equals 360. We can now express this as follows;

3x + 3x + 9x + 9x = 360

24x = 360

Divide both sides of the equation by 24

x = 15

Therefore, in trapezoid ABCD

x = 15

4 0

2 years ago

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At most, Alana can spend $40 on carnival tickets. Ride tickets cost $4 each, and food tickets cost $2 each. Alana buys at least

attashe74 [19]

Answer:

Step-by-step explanation:

Here let the number of ride tickets be r, and the number of food tickets be f.

Hence

$r+f\ge16\\4r+2f\le40$

We first plot the two inequalities on graph as shown in attachment. From the graph we see that the two in-equation meet at (4,12)

Hence we can see that the maximum value of r is 4

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2 years ago

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Jerome found the lengths of each side of triangle QRS as shown, but did not simplify his answers. Simplify the lengths of each s

emmainna [20.7K]

Answer:

Triangle QRS is an isosceles triangle because QR = RS.

Step-by-step explanation:

option D for Edgu hope this helps :)

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2 years ago

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One year,the price of wheat was $8.87 per bushel.The next year,the price was $9.60. Round the price per bushel of wheat for each

stellarik [79]

<span>So the given numbers are:
=> One year, the price of wheat is 8.87 dollars
=> the next year, the price of wheat is 9.60 dollars.
We were asked to round each prices of bushels of wheat to its nearest tenths.
=> 8.87, where 8 before the decimal point is ones, 8 next to decimal point is tenths and 7 is the hundredths.
=>round off to the nearest tenths
=> 8.9
=> next is 9.60, where 9 is the ones value, 6 is the tenths value and 0 is the hundredths.
=> round off to nearest tenths
=> 9.6

</span>

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2 years ago

Mia opens a coffee shop in the first week of January. The function W(x) = 0.002x3 - 0.01x2 models the total number of customers

Len [333]

We need to know the function that models the difference in the number of customers visiting the two stores.
We know the function that models the number of customers in the cafeteria
W (x) = 0.002x3 - 0.01x2
We also know the function that models the number of customers who visit the ice cream parlor
R (x) = x2 - 4x + 13
Therefore the difference, D (x), in the number of customers visiting the two stores is:
D (x) = W (x) - R (x)
D (x) = 0.002x ^ 3 - 0.01x ^ 2 - (x ^ 2 -4x +13)
D (x) = 0.002x ^ 3 - 0.01x ^ 2 - x ^ 2 + 4x -13

D (x) = 0.002x ^ 3 - 1.01x ^ 2 + 4x -13
<span> The answer is the third option</span>

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2 years ago

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