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Xelga [282]
4 years ago
14

For the remaining three problems, write always, sometimes, or never. If it is always true, give the property or two examples. If

it is never true, give the property or two examples. If it is sometimes true, give one example for which it is true and one example for which it is false. One point for a correct answer and one point for examples or correct property.
x + x = 2x
Mathematics
1 answer:
Oduvanchick [21]4 years ago
5 0
x+x=2x\\
2x=2x

Always true.
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Is there an x intercept in the equation 60*1.15^x
Natali [406]

Answer:

No

Step-by-step explanation:

The equation 60*1.15^x is an exponential function. Exponential functions do not cross the x-axis unless they have been shifted down through subtraction in the function. All exponential functions have asymptotes that the function approaches but never crosses or touches. This function has an asymptote at the x-axis.

7 0
4 years ago
4 - Зc — 5c2<br> write the polynomial in standard form.
ANTONII [103]
-5c^2-3c+4 This polynomial is in standard form, now, and the leading coefficient is 5, because it is the coefficient of the first term. Degree is 2, due to -5c^2.
3 0
3 years ago
Find the indicated limit, if it exists.
jok3333 [9.3K]
For the limit to exist, the limits from either side must also exist and be identical. We have

\displaystyle\lim_{x\to2^-}f(x)=\lim_{x\to2}(x+3)=2+3=5

\displaystyle\lim_{x\to2^+}f(x)=\lim_{x\to2}(3-x)=3-2=1

Since the limits do not match, the overall limit does not exist.
6 0
3 years ago
Juanita has 3 rectangular cards that are 8 inches by 9 inches. How can she arrange the cards, without overlapping, to make one l
ivann1987 [24]

Answer:

Step-by-step explanation:

Given  

  • 3 rectangular cards
  • each card is 8 inches by 9 inches

The way that she can arrange the cards, without overlapping, to make one larger polygon with the smallest possible perimeter is that:

Put 3 cards together according to the length

So  the smallest possible perimeter is:

8 + 8 + 8 + 8 + 8 + 8 + 9 + 9 = 66 inches as you can see in the attached photo.

The area of the polygon is equal to the combined area of the 3 cards without overlapping or extending.

Hope it can find you well.

6 0
4 years ago
Micah needs $18,500 to purchase a boat. How much money will he need to invest today in a savings account earning 3.2% interest,
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We have that every quarter, he will get an 0.8% interest rate. We also have that there will be 14*4=56 periods of repayment. We have that by the formula, if there are n periods and x% is the interest rate, the capital is multiplied by (100+x%)^n.
Suppose Micah invests x money. Then, we have that after 14 years, the capital available will be C=x*(1.008)^{56}=x*1.562. We have that C=18500$ and hence that 18500=x*1.562. Thus, solving for x we have that x=11841$.
Micah will need to invest only 11841$ in order to pay for his boat; this shows the importance of saving since he earns a lot of money, around 7k $.
6 0
3 years ago
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