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3 years ago

What are the solutions to the following system of equations? Select the correct answer below.

2 answers:

7 0

      y = x² - 4x + 8
4x + y = 12

   4x + y = 12
4x + (x² - 4x + 8) = 12
x² + 4x - 4x + 8 = 12
       x² + 8 = 12
      - 8 - 8
   x² = 4
      x = ±2
   4x + y = 12
4(2) + y = 12
   8 + y = 12
   - 8 - 8
   y = 4

    4x + y = 12
4(-2) + y = 12
    -8 + y = 12
+ 8    + 8
   y = 20

(x, y) = (2, 4) and (-2, 20)

ICE Princess25 [194]3 years ago

6 0

the answer to this question is (2, 4) and (−2, 20)

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Carol noticed that 7/10 of the children playing soccer were girls. Which statement could be correct?

Maslowich

Carol noticed that 7/10 of the children playing soccer were girls. Which statement could be correct?
A. There were 28 girls and 12 boys playing soccer.
28 : x% = 40 (the total number of children) : 100%
40x = 28 * 100
40x = 2800
x = 2800 / 40
x = 70%
There were 70% of girls in the class.
70 / 100 = 0.7
7/ 10 = 0.7
This is why A is the correct answer.

7 0

3 years ago

Place the correct tiles in the appropriate order to solve the system of equations using the method of substitution:

BabaBlast [244]

Answer:

Okay Buddy again sigh*

Solve 1 equation for 1 variable. ( Put in y = or x = form)
Substitute this expression into the other equation and solve for the missing variable.
Substitute your answer into the first equation and solve.

Check the solution.

Okay Hope it helps Buddy!

7 0

3 years ago

2y to the 2nd power +11y +14

goldfiish [28.3K]

$2y^2 +11y+14$ $=(2y+7)(y+2)$

Step-by-step explanation:

Given

$2y^2 +11y+14$

$=2y^2 +(7+4)y+14$

$=2y^2+7y+4y+14$

$= y(2y+7) + 2(2y+7)$

$=(2y+7)(y+2)$

3 0

3 years ago

Can someone help me again please

cestrela7 [59]

Answer:

i) = 23 °C

ii) = 4.4° C

Step-by-step explanation:

i) The temperature on the surface of the planet.

At the surface of the planet the height is Zero

Therefore, X = 0

Thus; using the equation, the temperature, y will be;

y = 23 - 5x

y = 23 - 5(0)

 = 23 °C

ii) the temperature change for every kilometer from the surface,

From the equation;

y = 23 - 5x

we take, y to be 1

Therefore;

1 = 23 -5x , subtracting 23 on both sides we get

-22 = -5x

x = -22/-5

= 4.4° C

4 0

3 years ago

Read 2 more answers

The time needed to complete a final examination in a particular college course is normallydistributed with a mean of 80 minutes

Artist 52 [7]

Answer:

a) 0.023

b) 0.286

c) 10 students will be unable to complete the exam inthe allotted time.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 80 minutes

Standard Deviation, σ = 10 minutes

We are given that the distribution of time to complete an exam is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(completing the exam in one hour or less)

P(x < 60)

$P( x < 60) = P( z < \displaystyle\frac{60 - 80}{10}) = P(z < -2)$

Calculation the value from standard normal z table, we have,

$P(x < 60) =0.023= 2.3\%$

b) P(complete the exam in more than 60 minutes but less than 75 minutes)

$P(60 \leq x \leq 75) = P(\displaystyle\frac{60 - 80}{10} \leq z \leq \displaystyle\frac{75-80}{10}) = P(-2 \leq z \leq -0.5)\\\\= P(z \leq -0.5) - P(z < -2)\\= 0.309- 0.023 = 0.286= 28.6\%$