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Lana71 [14]
3 years ago
14

This figure shows y=f(x), the graph of the function f. If the function g is defined as g(x)= 2•f(x)-1, what is the value of g(1)

?

Mathematics
1 answer:
uranmaximum [27]3 years ago
8 0

This is a nice twist to see if you can read the graph and interpret what it means.

f(1) is the y value of the graph when x = 1

So start at x = 1 and find the y value. Go straight up. The point you reach is (1,3)

so g(1) = 2*f(1) - 1

g(1) = 2*3 - 1

g(1) = 5

Answer

g(1) = 5

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A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. The
Delvig [45]

10 small boxes and 11 large boxes were shipped.

Step-by-step explanation:

Given,

Total boxes shipped = 21

Total volume of shipped boxes = 342 cubic feet

Volume of each small box = 10 cubic feet

Volume of each large box = 22 cubic feet

Let,

Number of small boxes = x

Number of large boxes = y

According to given statement;

x+y=21     Eqn 1

10x+22y=342    Eqn 2

Multiplying Eqn 1 by 10

10(x+y=21)\\10x+10y=210\ \ \ Eqn\ 3

Subtracting Eqn 3 from Eqn 2

(10x+22y)-(10x+10y)=342-210\\10x+22y-10x-10y=132\\12y=132

Dividing both sides by 12

\frac{12y}{12}=\frac{132}{12}\\y=11

Putting y=11 in Eqn 1

x+11=21\\x=21-11\\x=10

10 small boxes and 11 large boxes were shipped.

Keywords: linear equation, subtraction

Learn more about linear equations at:

  • brainly.com/question/4793866
  • brainly.com/question/4824362

#LearnwithBrainly

3 0
3 years ago
Y = 1/2x + 6<br> Y = -2x + 3<br> Y= 1/2x + 3<br> Y= -1/2x + 3
TEA [102]

Answer:

y=-1/2x+3

Step-by-step explanation:

it has a negative slope and it's not that steep which is why the slope isnt 2. also the first one is wrong because the y-intercept is 3

7 0
3 years ago
Read 2 more answers
Frank started an assignment at 6:26 PM and finished it at 7:44 PM. How long did it take him? Give your answer in minutes.
Svet_ta [14]
7.44-6.26=1.18
1.18 in minutes is 78 minutes bc 1 hour is 60 minutes + 18 minutes is 78
Hope this helps :D
5 0
2 years ago
Read 2 more answers
Which statement is true about the extreme value of the given quadratic equation? y = -3x2 + 12x − 33
Zina [86]

Answer:

The equation has a maximum value with a y-coordinate of -21.

Step-by-step explanation:

Given

y =-3x^2 + 12x - 33

Required

The true statement about the extreme value

First, write out the leading coefficient

Leading = -3

-3 < 0 means that the function would be a downward parabola;

Downward parabola always have their vertex on top of the parabola and as such, the function has a maximum value.

The maximum value is:

x = -\frac{b}{2a}

Where:

a= -3; b =12; c =-33

So, we have:

x = -\frac{12}{2 * -3}

x = -\frac{12}{-6}

x =2

Substitute x =2 in y =-3x^2 + 12x - 33

y = -3*2^2 + 12 * 2 - 33

y = -21

<em>Hence, the maximum is -21.</em>

8 0
3 years ago
I need help solving this
pentagon [3]
Y=mx+b where m=slope=(dy/dx) and b=y-intercept (value of y when x=0)

You have two points...(1,-2),(3,2) so

m=(y2-y1)/(x2-x1)=(2--2)/(3-1)

m=4/2=2 now that you have the slope...

y=2x+b, you can use either point to solve for the y-intercept, I'll use (3,2)

2=2(3)+b

2=6+b

b=-4 so the line is:

y=2x-4
5 0
3 years ago
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