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lana66690 [7]
3 years ago
14

If g(x) = -4x + 5, find g(2x-1).

Mathematics
2 answers:
lilavasa [31]3 years ago
8 0

Answer:

- 8x + 9

Step-by-step explanation:

To evaluate g(2x - 1) substitute x = 2x - 1 into g(x), that is

g(2x - 1)

= - 4(2x - 1) + 5 ← distribute parenthesis and simplify

= - 8x + 4 + 5

= - 8x + 9

skad [1K]3 years ago
6 0

Answer:

= - 8x + 9

Step-by-step explanation:

= - 8x + 4 + 5

= - 8x + 9

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What is the image point of (0,-6) after the transformation D 1/2 or y-axis?
rewona [7]
I think you multiply 1/2 by the x and y point

1/2(0)= 0
1/2(-6)= -3

(0,-3)
6 0
2 years ago
The area of a rectangular flower bed is 24 square feet. The perimeter of the same flower bed is 22 feet. What are the dimensions
Ray Of Light [21]

ANSWER

B. 3 ft by 8 ft

EXPLANATION

The area is given as 24 square feet.

This implies that,

l \times w = 24

The perimeter of the rectangular field is given as 22 feet.

This implies that,

2(l + w) = 22

Or

l + w = 11

We make w the subject in this last equation and put it inside the first equation.

w = 11 - l

When we substitute into the first equation we get;

l(11 - l) = 24

11l -  {l}^{2}  = 24

This implies that,

{l}^{2}  - 11l + 24 = 0

(l - 3)(l - 8) = 24

l = 3 \: or \: 8

When l=3, w=24

Therefore the dimension is 3 ft by 8 ft

3 0
3 years ago
Read 2 more answers
An assembly line produces 2 toasters per minute. It is 2:00pm and the line has finished 560 out of its goal of 900 for the day.
LenaWriter [7]

Answer:

I won't stop the line for a half hour break.

Step-by-step explanation:

<u>Proportions</u>

One quantity A is said to be proportional to other B if A can always be obtained by multiplying or dividing B by any constant number. Numbers {4,8,12} are proportional to {2,4,6} because they can be computed as twice their value

.

There is a situation described in the problem where we need to know if there will be enough time to produce the 900 toasters (the goal for the day) when the assembly line is stopped by half an hour.

Actual time: 2:00 pm

Final time: 5:00 pm

Rate of production: 2 toasters/minute

Actual production: 560 toasters

Updated goal: 900-560 = 340 toasters  

Those 340 toasters must be produced in the remaining 3 hours (180 minutes) of work. If the assembly line stops for half an hour (30 minutes), there will be only 150 minutes to finish the goal production. At a rate of 2 toasters/minute, there will be 2*150 = 300 toasters produced. But we need to produce 340 more toasters, so that break cannot be granted or we'll be 40 toasters under goal.

It the line keeps producing for 180 minutes, it would produce 2*180 = 360 toasters, 20 more than the goal.

Note: The maximum break time that can be granted is 20/2 = 10 minutes

4 0
3 years ago
H(x) = x^2 + 1 k(x) = x – 2<br> (h + k)(2)=?
likoan [24]
First we will compute the h+k and then multiply the result by 2.
To add polynomials, we add terms whose variables are alike, for example:
we add the coefficients of x^2 together, the coefficients of x together and so on.

Therefore:
h + k = x^2 + 1 + x - 2 = x^2+x-1

Now, we will multiply this answer by 2 to get the final answer:
2(h+k) = 2(x^2+x-1) = 2x^2 + 2x -2
6 0
3 years ago
Kelly and Greta are asked to write an equation for the scenario below. "One person was able to plant 4 trees in the same amount
Alina [70]

Answer:

y=\dfrac{1}{4}x

Kelly is correct.

Step-by-step explanation:

One person is able to plant 4 trees

Let x be the number of people

y be the number of trees

The situation is represented by

1x=4y\\\Rightarrow y=\dfrac{1}{4}x

5 people are able to plant 20 trees

5x=5(4y)\\\Rightarrow 5x=20y\\\Rightarrow y=\dfrac{5x}{20}\\\Rightarrow y=\dfrac{1}{4}x

So, the situation is represented by y=\dfrac{1}{4}x

Hence, Kelly is correct.

6 0
3 years ago
Read 2 more answers
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