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kondaur [170]
3 years ago
12

What are the solutions to the system of equations?

Mathematics
1 answer:
Setler79 [48]3 years ago
8 0

Answer:

(3.5, 1.5) and (1, -1).

Step-by-step explanation:

As both expressions in x are equal to y we can write:

2x^2 - 8x + 5 = x - 2

2x^2 - 9x + 7 = 0

(2x - 7)(x - 1) = 0

2x - 7 = 0 or x - 1 = 0

x = 3.5,  1,

When x = 1, y = 1 - 2 = -1.

When x = 3.5, y = 3.5 - 1 = 1.5.

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Sever21 [200]
The answer is the bottom right one
7 0
2 years ago
Read 2 more answers
the production of a printer consists of the cost of raw material at 100 dollars the cost of overheads at 80$ and wages at 120$ i
Vadim26 [7]

Answer:

The percentage increase in the production cost of the printer is 3%.

Step-by-step explanation:

We are given that the production of a printer consists of the cost of raw material at 100 dollars the cost of overheads at 80$ and wages at 120$.

Also, the cost of raw materials and overheads are increased by 11% and 20% respectively while wages are decreased by 15%.

Cost of raw material = $100

Cost of overheads = $80

Cost of wages = $120

So, the total cost of the printer = $100 + $80 + $120

                                                   = $300

Now, the increase in the cost of raw material = $100 + 11% of $100

                                                                           = \$100 + (\frac{11}{100} \times \$100)

                                                                           = $100 + $11 = $111

The increase in the cost of overheads = $80 + 20% of $80

                                                                = \$80 + (\frac{20}{100} \times \$80)

                                                                = $80 + $16 = $96

The decrease in the cost of wages = $120 - 15% of $120

                                                          = \$120 - (\frac{15}{100} \times \$120)

                                                          = $120 - $18 = $102

So, the new cost of a printer = $111 + $96 + $102 = $309

Now, the percentage increase in the production cost of the printer is given by;

      % increase =  \frac{\text{Net increase in the cost of printer}}{\text{Original cost of printer}} \times 100

                         =  \frac{\$309- \$300}{\$300} \times 100

                         =  3%

Hence, the percentage increase in the production cost of the printer is 3%.

4 0
3 years ago
Explain how to graph the given piecewise-defined
Pavlova-9 [17]

The Piecewise -Defined function and how it is graphed is given below..

<h3>What is the explanation of how the Piecewise -Defined function is graphed?</h3>

Given the function in the attached image,

  • The Graph of f(x) = -x + 3 is drawn for x less than 2 because x is bounded.
  • The Graph of f(x) = 3 is draw for x greater than and equal to 2 and less than 4 because x is bounded.
  • The Graph of f(x) = 4 - 2x is draw for x greater than equal to 4 because x is bounded.

See the attached Graph for better understanding.

  • f(x) = -x + 3 is coded purple.
  • f(x) = 3 is coded orange.
  • f(x) = 4 - 2x is coded green.

Learn more about Piecewise -Defined function:
brainly.com/question/18859540
#SPJ1

5 0
2 years ago
Jake and Hakeem's rocket's flight is approximately modeled by the equation h(t) = - 12t ^ 2 + 36t + 3 where h(t) is the height i
kumpel [21]

Answer:

30m

Step-by-step explanation:

<em>Since we are not told what to look for, we can find the maximum height reached by the rocket</em>

Given the rocket's flight approximately modeled by the equation

h(t) = - 12t ^ 2 + 36t + 3

At maximum height dh/dt = 0

dh/dt =  --24t + 36

0 = -24t + 36

24t = 36

t= 36/24

t = 1.5s

Get the max height

h(1.5) =  - 12 (1.5)^ 2 + 36(1.5) + 3

h(1.5) = - 12(2.25) + 54 + 3  

h(1.5) = -27 + 57

h(1.5) = 30m

Hence the maximum height reached by the rocket is 30m

8 0
3 years ago
Which number line correctly shows 4.5 – 2.5?
worty [1.4K]
I say the third one because the end-points start where they are supposed to start/ end.
6 0
3 years ago
Read 2 more answers
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