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vekshin1
2 years ago
13

4. How many lines of symmetry does a popsicle stick have?

Mathematics
2 answers:
quester [9]2 years ago
7 0

Answer:

See below

Step-by-step explanation:

An actual popsicle stick has THREE lines of symmetry

   the figure shown has TWO lines of symmetry

san4es73 [151]2 years ago
6 0

Answer: 2

Step-by-step explanation:

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Consider f(x)=2x3 and g(x)=/3x-1/find each value. f(1)-g(2)
Readme [11.4K]
2(1)3=6 (f)
3(2)-1= 5 (g)
6-5=1 so the answer is 1
6 0
2 years ago
HELPP MEEE PLEASEEEEE!
snow_lady [41]

Let $a=x+\tfrac{5}{2}$. Then the expression $(x+1)(x+2)(x+3)(x+4)$ becomes $\left(a-\tfrac{3}{2}\right)\left(a-\tfrac{1}{2}\right)\left(a+\tfrac{1}{2}\right)\left(a+\tfrac{3}{2}\right)$.

We can now use the difference of two squares to get $\left(a^2-\tfrac{9}{4}\right)\left(a^2-\tfrac{1}{4}\right)$, and expand this to get $a^4-\tfrac{5}{2}a^2+\tfrac{9}{16}$.

Refactor this by completing the square to get $\left(a^2-\tfrac{5}{4}\right)^2-1$, which has a minimum value of $-1$.

Similar to Solution 1, grouping the first and last terms and the middle terms, we get $(x^2+5x+4)(x^2+5x+6)+2019$.

Letting $y=x^2+5x$, we get the expression $(y+4)(y+6)+2019$. Now, we can find the critical points of $(y+4)(y+6)$ to minimize the function:

$\frac{d}{dx}(y^2+10y+24)=0$

$2y+10=0$

$2y(y+5)=0$

$y=-5,0$

To minimize the result, we use $y=-5$. Hence, the minimum is $(-5+4)(-5+6)=-1$, so $-1+2019 = \boxed{\textbf{(B) }2018}$.

Note: We could also have used the result that minimum/maximum point of a parabola $y = ax^2 + bx + c$ occurs at $x=-\frac{b}{2a}$.

Solution 4

The expression is negative when an odd number of the factors are negative. This happens when $-2 < x < -1$ or $-4 < x < -3$. Plugging in $x = -\frac32$ or $x = -\frac72$ yields $-\frac{15}{16}$, which is very close to $-1$. Thus the answer is $-1 + 2019 = \boxed{\textbf{(B) }2018}$.

Solution 5 (using the answer choices)

Answer choices $C$, $D$, and $E$ are impossible, since $(x+1)(x+2)(x+3)(x+4)$ can be negative (as seen when e.g. $x = -\frac{3}{2}$). Plug in $x = -\frac{3}{2}$ to see that it becomes $2019 - \frac{15}{16}$, so round this to $\boxed{\textbf{(B) }2018}$.

We can also see that the limit of the function is at least -1 since at the minimum, two of the numbers are less than 1, but two are between 1 and 2.

5 0
3 years ago
mrs brown has 1/3 yd of blue denim and 1/2 yd of black demin. how many purses can be made using denim as the main fabric
Galina-37 [17]
Sorry at the end of the day i gotta get points to ask questions...sorry hope you find your answer
8 0
3 years ago
Dan invests £18790 into his bank account. He receives 4.9% per year simple interest. How much will Dan have after 3 years? Give
garri49 [273]

Answer:

£21552.

Step-by-step explanation:

Given information:

Principal amount = £18790

Rate of simple interest =4.9% = 0.049 per year

Time = 3 years

Formula for simple interest:

I=P\times r\times t

where, P is principal, r is rate of interest and t is time in years.

I=18790\times 0.049\times 3

I=2762.13

Total amount after 3 year is

A=P+I

A=18790+2762.13

A=21552.13

A\approx 21552

Therefore, Dan have £21552 after 3 years.

8 0
3 years ago
Can you answer my question
Whitepunk [10]

Answer:

Yup........ I will try.......

8 0
3 years ago
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