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kolbaska11 [484]
3 years ago
12

Write an equation to solve each problem and then solve it. a The sum of three consecutive integers is 84. Find the integers.

Mathematics
1 answer:
otez555 [7]3 years ago
6 0

Answer:

27,28,29

Step-by-step explanation:

Which means that the first number is 27, the second number is 27 + 1 and the third number is 27 + 2. Therefore, three consecutive integers that add up to 84 are 27, 28, and 29. We know our answer is correct because 27 + 28 + 29 equals 84 as displayed above.

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How do you graph this f(x)= -3/2|x|+5 if x≤4​
LenaWriter [7]

Answer:

  see below

Step-by-step explanation:

I enter the equation into a graphing calculator and let it do the graphing.

___

If you're graphing this by hand, you start by looking for the parent function. Here, it is |x|. That has a vertex of (0, 0) and a slope of +1 to the right of the vertex and a slope of -1 to the left of the vertex.

Here, the function is multiplied by -3/2, so will open downward and have slopes of magnitude 3/2 (not 1). The graph has been translated 5 units upward, so the vertex is (0, 5).

I'd start by plotting the vertex point at (0, 5), then identifying points with slope ±3/2 either side of it. To the left, it is left 2 and down 3 to (-2, 2). The points on the right of the vertex are symmetrically located about the y-axis, so one of them will be (2, 2).

Of course, you don't plot any function values for x > 4.

8 0
3 years ago
Which of the following numbers could be the sides of a right triangle. A)8,15,17. B)6,8,12 C)9,11,21 D)4,13,16
ArbitrLikvidat [17]

Answer:

A) 8, 15, 17.

Step-by-step explanation:

Right triangle obey the Pythagorean theorem. Thus, we choose the two smaller numbers (being the cathetus) and if after applying the P. Theorem we get the biggest of each option  (the hypotenuse) that means that those numbers could be the sides of a right triangle.

The Pythagorean theorem states that: a^2+b^2=c^2

Thus:

\sqrt{a^2+b^2}=c

Option A:

\sqrt{8^2+15^2}=17 → 17 = 17 OK!

Option B:

\sqrt{6^2+8^2}  = 10 → 10 ≠ 12 NO

Option C:

\sqrt{9^2+11^2} = [tex]\sqrt{202}[/tex] → \sqrt{202} ≠ 21 NO

Option D:

\sqrt{4^2+13^2} = \sqrt{185} → \sqrt{185} ≠ 16 NO

3 0
3 years ago
10 POINTS
hoa [83]
It would be “going up a steady rate through the origin”
7 0
3 years ago
In order to avoid heavy traffic, Antonio can drive home after working less than 7 hours (h < 7) or after working more than 9
Marizza181 [45]
The Answer is B = 7 > h > 9...
6 0
3 years ago
Read 2 more answers
Can someone please help with this it’s worth 19 points?
nexus9112 [7]

Answer:

54, 36

Step-by-step explanation:

67+59+x=60*3

126+x=180

x=54

54 cones on Sunday

_____________________________________

180+x=54*4

180+x=216

x=36

36 cones on Monday

6 0
3 years ago
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