Since the distance from the two known coordinates are known, you can find the slope of the line (for lack of a better word) to work backwards. there is a +5 unit gap between -21 and -16, so the next number would be -26. So, without havint to do any more work, the answer is B.
The factory makes 27 dresses.
<u>Step-by-step explanation</u>:
- It produces three dresses for every five shirts.
- Let x be the sets of five shirts produced.
- Therefore, x sets of three dresses are produced along with five shirts.
Total garments = number of shirts + number of dresses
⇒ 72 = 5x + 3x
⇒ 72 = 8x
⇒ x = 9
The number of dresses is 3x = 3(9) = 27 dresses.
Answer:
Step-by-step explanation:
Given
f(x) = 2x^2 - 3x
g(x) = -2x + 4
Now
f(-5) = 2 *(-5)^2 - 3*(-5)
= 2 * 25 + 15
= 50 + 15
= 65
Also
g(5) = - 2 * 5 +4
= -10 +4
= - 6
Hope it will help you.
Based on the triangle inequality theorem, the that is false about the relationship of the side of the triangle given is: D. x = 7.
<h3>What is the Triangle Inequality Theorem?</h3>
The triangle inequality theorem holds that the length of any side of a triangle is less than the sum of the length of the sides of the other two sides.
Applying the triangle inequality theorem, it means the following should be true for any value of x given:
x + 2 + x + 3 > 3x - 2
2x + 5 > 3x - 2
Plug in x = 3 to find out:
2(3) + 5 > 3(3) - 2
11 > 4 (True)
Plug in x = 1 to find out:
2(1) + 5 > 3(1) - 2
8 > 2 (True)
Plug in x = 7 to find out:
2(7) + 5 > 3(7) - 2
19 > 19 (FALSE)
Therefore, the false statement is: D. x = 7.
Learn more about the triangle inequality theorem on:
brainly.com/question/309896
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