Solve your inequality step-by-step.
7(x+4)>0
Simplify both sides of the inequality.
7x+28>0
Subtract 28 from both sides
.
7x+28−28>0−28
7x>−28
Divide both sides by 7.
7x/7 > −28/7
x > −4
Answer:
4. 11/6, 121/36
5. 5/8, 25/64
6. 4/7, 16/49
7. 14/9, 196/81
Step-by-step explanation:
The ratio of perimeters is the same as the ratio of corresponding legs:
perimeter ratio = red leg/blue leg
The area ratio is the square of that:
area ratio = (perimeter ratio)²
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<h3>4.</h3>
perimeter ratio = 11/6
area ratio = (11/6)² = 121/36
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<h3>5.</h3>
perimeter ratio = 5/8
area ratio = (5/8)² = 25/64
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<h3>6.</h3>
perimeter ratio = 4/7
area ratio = (4/7)² = 16/49
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<h3>7.</h3>
perimeter ratio = 14/9
area ratio = (14/9)² = 196/81
Answer:
you can't do that since its a whole number
Answer:
29/50
Step-by-step explanation:
Answer:
The first statement is true.
Step-by-step explanation:
The function is f(x) = - (x + 6)(x + 2)
⇒ f(x) = - x² - 8x - 12
Now, condition for a function f(x) to be increasing at x = a is f'(a) > 0.
Now, f(x) = - x² - 8x - 12
⇒ f'(x) = -2x - 8 {Differentiating with respect to x}
Now, f'(a) = -2a - 8 {Here a can be any real value}
And, the condition for increasing function at x = a is
- 2a - 8 > 0
⇒ - 2a > 8
⇒ a < - 4
Therefore, the first statement is true i.e. the function is increasing for all real values of x where x < – 4. (Answer)