Answer:
-3 < x ≤ -1
Step-by-step explanation:
we know that
The solution of the graph is equal to the interval
All real numbers greater than -3 and less than or equal to -1
so the combined inequality is equal to -3 < x ≤ -1!!!!
Answer:
The area of the rectangle is 1222 units²
Step-by-step explanation:
The formula of the perimeter of a rectangle is P = 2(L + W), where L is its length and W is its width
The formula of the area of a rectangle is A = L × W
∵ The length of a rectangle is 5 less than twice the width
- Assume that the width of the rectangle is x units and multiply
x by 2 and subtract 5 from the product to find its length
∴ W = x
∴ L = 2x - 5
- Use the formula of the perimeter above to find its perimeter
∵ P = 2(2x - 5 + x)
∴ P = 2(3x - 5)
- Multiply the bracket by 2
∴ P = 6x - 10
∵ The perimeter of the rectangle is 146 units
∴ P = 146
- Equate the two expression of P
∴ 6x - 10 = 146
- Add 10 to both sides
∴ 6x = 156
- Divide both sides by 6
∴ x = 26
Substitute the value of x in W and L expressions
∴ W = 26 units
∴ L = 2(26) - 5 = 52 - 5
∴ L = 47 units
Now use the formula of the area to find the area of the rectangle
∵ A = 47 × 26
∴ A = 1222 units²
∴ The area of the rectangle is 1222 units²
2 digit meaning that it has 2 numbers. For example, 66 is a two digit number.
Now, they also said it must be prime, meaning that its factors can only be 1 and itself.
Also, it must be odd.
Answer: 67
Now, do the same, except the number must be composite, as meaning that it has other factors.
Answer: 21
The research question is important to a researcher as it helps in solving the issue that the researcher wants to solve.
- The research topic will be "Social media has an effect on the behavior of children".
- The research question will be "what effect does social media has on the effects of the behavior of children".
- The null hypothesis will be "there is no statistical significance between social media and children's behavior".
- The alternative hypothesis will be "there is a statistical significance between social media and children's behavior".
- The null hypothesis will be rejected when the p-value is equal to the significance level or it's less than it.
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brainly.com/question/16790506
