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2 years ago

Given g(x) = - 4x + 4, find g(3). Answer:

Mathematics

2 answers:

andrey2020 [161]2 years ago

6 0

Answer:

g(3) = -8

Step-by-step explanation:

g(3) = -4x + 4 Substitute 3 for X:

g(3) = -4(3) + 4

-4 * 3 = -12

g(3) = -12+4

g(3) = -8

likoan [24]2 years ago

4 0

Answer:

-8

Step-by-step explanation:

substitute x with 3

-4(3) + 4

simplify (multiply)

-12+4

simplify

-8

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Which of the equations below could be the equation of this parabola?

Mademuasel [1]

Answer:

Option B: $y = -\frac{1}{2} x^2$

Step-by-step explanation:

The parabola has its concavity downwards, so we need a function in the model:

$y = ax^2 + bx + c$

With a negative value of 'a'

The vertex is (0,0), so we have that:

$0 = 0a + 0b + c$

$c = 0$

The x-coordinate of the vertex is given by the equation:

$x\_vertex = -b/2a$

$-b/2a = 0$

$b = 0$

So we have a function in the model:

$y = ax^2$

With a < 0

The only option with this format is B:

$y = -\frac{1}{2} x^2$

7 0

3 years ago

I’m not sure where to begin

Dmitry [639]

(a)

we are given

the price of apple suddenly up by $0.75

Let's assume original price be 'p'

we are given

Sam bought 3 pounds of apple at the new price total is $5.88

so, new price = old price +0.75

price of 3 apples $=3(p+0.75)$

we are given that price is 5.88

so, we get equation as

$5.88=3(p+0.75)$ .......Answer

(b)

Since, original price is p

so, we have to solve for p

$5.88=3p+2.25$

$5.88-2.25=3p+2.25-2.25$

$3.63=3p$

$p=1.21$

so, original price is $1.21 per pound........Answer

8 0

2 years ago

Can somebody prove this mathmatical induction?

Flauer [41]

Answer:

See explanation

Step-by-step explanation:

1 step:

n=1, then

$\sum \limits_{j=1}^1 2^j=2^1=2\\ \\2(2^1-1)=2(2-1)=2\cdot 1=2$

So, for j=1 this statement is true

2 step:

Assume that for n=k the following statement is true

$\sum \limits_{j=1}^k2^j=2(2^k-1)$

3 step:

Check for n=k+1 whether the statement

$\sum \limits_{j=1}^{k+1}2^j=2(2^{k+1}-1)$

is true.

Start with the left side:

$\sum \limits _{j=1}^{k+1}2^j=\sum \limits _{j=1}^k2^j+2^{k+1}\ \ (\ast)$

According to the 2nd step,

$\sum \limits_{j=1}^k2^j=2(2^k-1)$

Substitute it into the $\ast$

$\sum \limits _{j=1}^{k+1}2^j=\sum \limits _{j=1}^k2^j+2^{k+1}=2(2^k-1)+2^{k+1}=2^{k+1}-2+2^{k+1}=2\cdot 2^{k+1}-2=2^{k+2}-2=2(2^{k+1}-1)$

So, you have proved the initial statement

4 0

3 years ago

What is the volume of the following rectangular prism??

LekaFEV [45]

0ne and one fifth or 1 and 1/5

5 0

3 years ago

Read 2 more answers

I need help with letter B, please!

Gala2k [10]

So if you want to fit the y-intercepts or "b", on the y-axis you should go by 25's [0, 25, 50, 75, 100...]

If the x-axis <u>does not have to</u> follow the same pattern (25's), you should go by 5's [0, 5, 10, 15, 20...]

y = 7x + 50

y = 2x + 175

First I would plot the y-intercepts for each equation, then plot a few points with x = 5, 10, 15 Then draw a straight line.

The point where the two lines meet/cross paths is your solution. It should be (25, 225) The x-axis is the number of miles, and the y-axis is the total cost. So Truck driver A and B would arrive/be at the same place/meet in 25 miles at the same cost of $225

5 0

3 years ago