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sweet [91]
2 years ago
13

10+1/2(4x-8)^2 what is f(3)

Mathematics
1 answer:
VARVARA [1.3K]2 years ago
5 0

f(x) = 10 +  \frac{1}{2}  {(4x - 8)}^{2}  \\  \\ f(3) = 10 +  \frac{1}{2}  {(4 \times 3 - 8)}^{2}  \\  \\ f(3) = 10 +  \frac{1}{2}  {(12 - 8)}^{2}  \\  \\ f(3) = 10 +  \frac{1}{2}  {(4)}^{2}  \\  \\ f(3) = 10 +  \frac{1}{2}  \times 16 \\  \\ f(3) = 10 + 8 \\  \\  \boxed{ \red{ \large{f(3) = 18}}}
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WILL MARK BRAINILESTWhich statements are true about the solution of 15 greater-than-or-equal-to 22 + x? Select three options.
shutvik [7]

Answer:

Statements 2, 4, and 5

Step-by-step explanation:

15≥22+x

okay so that's

22+x≤15

and that is

x≤-7

the graph would not be a closed circle, it is a vertical line.

this means your 3 correct statements would be:

x less-than-or-equal-to negative 7,

–6 is part of the solution.

–7 is part of the solution.

the last two are true based on the inequality.

7 0
3 years ago
Help quickly please!
Zarrin [17]
The answer to your question is C
6 0
2 years ago
What is the answer for this ?
REY [17]

Answer:

A

-2 < x ≤ 3 (All x values between -2 and 3; excluding -2 and including 3)

Step-by-step explanation:

I feel the answer is A because from what we know, domain is the x-intercept or x. So both C and D are not the answer because the y-intercept is not the domain, the y-intercept is the range. Next I looked at both A and B, well, if you look closely answer choice A says "excluding -2 and including 3" and choice B says "including -2 and excluding 3". I also seen on the graph that the point of (3,3) has a filled in dot and the point at (-2,-1) has an opened dot. A filled in dot always means you either have a ≥ (greater than or equal to sign) or a ≤ (less than or equal to sign). While an opened dot always means you just have < (greater than) or a > (less than) sign. So the correct answer is A!! Hope you have a fantastic rest of your day! :)))

4 0
2 years ago
Please help meeee PLEASEE no links :(
Tasya [4]

Answer:

C

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
A 748-N man stands in the middle of a frozen pond of radius 4.0 m. He is unable to get to the other side because of a lack of fr
Ber [7]

Answer:

The man will take 64 seconds to reach to the south shore of the frozen pond.

Step-by-step explanation:

Given:

Weight of the man = 748 N      Mass of the man,(m)= \frac{W}{g} = \frac{748}{9.8} = 76.32 kg

Radius of the pond (r) = 4 m

Mass of the textbook = 1.2 kg

Velocity at which the textbook is thrown = 4 ms^1

We have to find the velocity of the man after the throw.

Let the velocity is V_m .

Now using law of conservation of momentum we can find the V_m value.

m_(_b_)V_b_(_i_) +m_(_m_)V_m_(_i_) =m_(_b_)V_b_(_f_)+m_(_m_) V_m_(_f_)

Considering V_m_(_f_)=V_m

And initial velocity of both the man and book i.e V_b_(_i_)=0,\ V_m_(i_)=0

So,

⇒ 0 =m_(_b_)V_b_(_f_)+m_(_m_) V_m

⇒ Plugging the values.

⇒ V_m=-\frac{m_(_b_)V_b_(_f_)}{m_(_m_)}

⇒ V_m=-\frac{1.2\times 4}{76.32}

⇒ V_m=-0.062 ms^-1

Here the negative velocity is meant for opposite direction of the throw.

Numerically we will write, V_m = 0.062

With this velocity the man will move towards south.

We have to calculate the time taken by the man to move to its south shore.

And we know velocity(v)\times time(t) = distance(d)

Let the time taken be t and v\times t = d and d=r then, V_m\times t=r

Then

⇒ t=\frac{radius\ (r)}{V_m}

⇒ Plugging the values.

⇒ t=\frac{4}{0.062}

⇒ t =64 sec

The man will take 64 seconds to reach to the south shore of the frozen pond (circular).

5 0
2 years ago
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