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lisabon 2012 [21]
3 years ago
9

Please need help with this question m

Mathematics
2 answers:
katovenus [111]3 years ago
7 0

Answer:

D.

Step-by-step explanation:

3(5)+2 > 14= 17>14 which is true

10-5 less than or equal to 7

true, 5 is less than 7

Over [174]3 years ago
7 0

Answer:

D 5

Step-by-step explanation:

3x+2 > 14               10 -x ≤7

Solve the first inequality

Subtract 2 from each side

3x+2-2 >14-2

3x>12

Divide each side by 3

3x/3 >12/3

x >4

Now solve the second inequality

10 -x ≤7

Subtract 10 from each side

10-x-10 ≤7-10

-x≤-3

Divide each side by -1, remembering to flip the inequality

x ≥3

Both of these must be true The only number from the choices that is true for both is 5

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Which function is equivalent to y = 16^0.5x?
Varvara68 [4.7K]
16^.5 =4
1/2 power is the same as square root
So y = 4x
5 0
3 years ago
You decide to take advantage of the current online dating craze and start your own Web site. You know that you have 600 people w
Gnoma [55]

Answer:

1350

Step-by-step explanation:

Given:

Initial number of members = 600

Now,

Expected members = Initial members × ( 1 + r )ⁿ

by geometric progression

here,

r is the growth rate

n is the number of years

thus,

Number of members that expect at the end of 2 year

Expected members = Initial members × ( 1 + r )ⁿ

r = 25%

n = 2 years

Expected members = 600 × ( 1 + 0.25 )²

= 937.5

similarly,

Numbers of members that expect at the end of 3 year

Expected members = Initial members × ( 1 + r )ⁿ

r = 22%

n = 1 years    (i.e after the end of 2 year)

Initial members = 937.5  (i.e after the end of 2 years is the initial for the starting of third year )

Expected members = 937.5 × ( 1 + 0.22 )¹

= 1143.75

Numbers of members that expect at the end of 4 year

Expected members = Initial members × ( 1 + r )ⁿ

r = 18%

n = 1 years    (i.e after the end of 3 year)

Initial members = 1143.75  (i.e after the end of 3 years is the initial for the starting of fourth year )

Expected members = 1143.75 × ( 1 + 0.18 )¹

= 1349.625

Hence,

Total expected people = 1349.625 ≈ 1350

3 0
3 years ago
16.985 in word form?
Shkiper50 [21]
Sixteen point nine hundred eighty five

6 0
3 years ago
Evaluate tan ( cos^-1 ( 1/8 ) ) , giving your answer as an exact value (no decimals)
vekshin1

\bf cos^{-1}\left( \cfrac{1}{8} \right)=\theta \qquad \qquad cos(\theta )=\cfrac{\stackrel{adjacent}{1}}{\stackrel{hypotenuse}{8}}\impliedby \textit{let's find the \underline{opposite}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{8^2-1^1}=b\implies \pm\sqrt{63}=b ~\hfill tan(\theta )=\cfrac{\stackrel{opposite}{\pm\sqrt{63}}}{\stackrel{adjacent}{1}} \\\\\\ ~\hspace{34em}


\bf \stackrel{\textit{keeping in mind that}}{tan\left(cos^{-1}\left( \frac{1}{8} \right) \right)}\implies tan(\theta )

5 0
3 years ago
6. a. Name a pair of equations that have exactly one point of intersection. How do you know?
True [87]

Answer:

A system of linear equations will have exactly one point of intersection, for example:

2x+y=5

-x+y=2

However, a system of linear equations with no solution will have no points of intersection, for example:

-4x+10y=6

2x-5y=3

Sorry about c. though I'm confused on how a pair of equations can have infinite points of intersection unless x or y equals all real numbers which could happen if x or y both equaled all real numbers maybe

And the point of interesection for the system of equations in the problem you attached as an image is (2,-1)

I attached a photo below, and one of how to graph it

4 0
3 years ago
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