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topjm [15]
3 years ago
10

What are the solutions of the inequality (x-3)(x+5)<=0

Mathematics
1 answer:
GarryVolchara [31]3 years ago
4 0

Assuming that the inequality you were going for was a ≤, set both polynomials less than or equal to 0.

x - 3 ≤ 0

x + 5 ≤ 0

For the first equation add 3 to both sides of the inequality. For the second, subtract 5 from both sides.

x ≤ 3

x ≤ - 5

These would be your solutions I guess, however, if you want to expand upon that, your actual answer is (- ∞, - 5] because if you were to plot these two inequalities on a number line, that is where the overlap would occur.

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102 is 126% of what number<br><br> 128.52<br> ≈ 8.10 <br> ≈ 80.95 <br> 12.85
disa [49]

Step-by-step explanation:

102*100=10200

10200÷126=80.95

So the third one is correct

4 0
2 years ago
A rectangular flower bed that is 5 ft long and 4 feet wide is surrounded by a square lawn that is
mr Goodwill [35]

Answer:

124 ft2

Step-by-step explanation:

The yard is a 12ft square so the length and width would both be 12ft. You multiply the length and width of the yard to get the area of the yard so 12x12=144. You have the length and width of the flower bed so 5x4=20. Once you have the area of both you can subtract the area the flower bed takes up of the lawn. 144-20=124 ft2.

6 0
3 years ago
The radius of a cylinder is doubled and its height is halved. Find the ratios of their surface areas.
Inessa [10]

Answer: 1:1

Step-by-step explanation:

Let r be the radius and h be the height of a cylinder.

Formula: Curved surface area of cylinder = 2\pi rh

Now, if  radius of a cylinder is doubled and its height is halved, then new radius will be R= 2r and new height  will be  H=\dfrac{1}{2}

Now, new surface area = 2\pi RH= 2\pi(2r)\dfrac{h}{2}= 2\pi rh

Ratio of curved surface areas : \dfrac{\text{Surface area}}{\text{New surface area}}=\dfrac{2\pi rh}{2\pi rh}=\dfrac{1}{1}

Hence, the ratios of their surface areas = 1:1 .

5 0
2 years ago
Angle x is such that sin x = a + b and cos x = a − b, where a and b are constants.
Mazyrski [523]

Answer:

Step-by-step explanation:

sin x=a+b

cos x=a-b

sin²x+cos²x=(a+b)²+(a-b)²=2a²+2b²

or 2a²+2b²=1

a²+b²=1/2 which is constant for all values of x

(ii)

\frac{\sin x}{\cos x}=\frac{a+b}{a-b}\\\tan x=\frac{a+b}{a-b}=2\\a+b=2a-2b\\b+2b=2a-a\\or a=3b

3 0
3 years ago
Read 2 more answers
What is the volume of one cube
snow_tiger [21]
The answer would just be 64 cubic inches. The volume of a cube is 64 cubic inches.Hope this helps.
3 0
3 years ago
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