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BigorU [14]
3 years ago
9

he first three steps in determining the solution set of the system of equations, y = –x2 – 2x + 8 and y = 2x + 11, algebraically

are shown in the table. Which represents the solution(s) of this system of equations?
Mathematics
2 answers:
frutty [35]3 years ago
8 0

Question:

Which represents the solution(s) of this system of equations?

Answer:

(-3,-1)

ivann1987 [24]3 years ago
5 0

Answer:

The solutions are -3 and -1

Step-by-step explanation:

∵ y = -x² - 2x + 8

∵ y = 2x + 11

∴ -x² - 2x + 8 = 2x + 11

∴ -x² - 2x - 2x + 8 - 11 = 0

∴ -x² - 4x - 3 = 0 ⇒ divide both sides by -1

∴ x² + 4x + 3 = 0

∴ (x + 3)(x + 1) = 0

∴ x + 3 = 0 ⇒ x = -3

∴ x + 1 = 0 ⇒ x = -1

∴ The solutions are -3 and -1

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do you want to make a sodium carbonate solution with a concentration of 2.5%. You have 50 mL of a 1% solution about how many mil
Evgesh-ka [11]

9514 1404 393

Answer:

  21 3/7 mL ≈ 21.43 mL

Step-by-step explanation:

Let x represent the amount of 6% solution that should be added. The the total volume of sodium carbonate in the mix is ...

  1%(50) +6%(x) = 2.5%(50 +x)

  50 +6x = 125 +2.5x . . . . . multiply by 100, eliminate parentheses

  3.5x = 75 . . . . . . . . . . . . . subtract 2.5x+50

  x = 21 3/7 . . . . . . . . . . . . . divide by 3.5

21 3/7 mL, about 21.43 mL, of 6% solution should be added to make a 2.5% solution.

6 0
2 years ago
Which graph represents the equation y = x2 + 1?
____ [38]

Answer:

im pretty sure its the last image.

Step-by-step explanation:

5 0
3 years ago
If f(x) = 4x+3, find f-1 (x)
Trava [24]

Answer: x=1/4y + -3/4

Step-by-step explanation:

8 0
2 years ago
write the standard form of the equation of the line described. through (-2,3), perpendicular to y=2/7x+5
Setler79 [48]
The general form of a linear equation is
y = mx + b
where m = slope and b = y-intercept
Here m = 2/7
To get to its perpendicular equation, first the slope should be negative reciprocal. So the perpendicular slope is m = -7/2
Given the point (-2,3), use the point-slope form equation, that is
y - y1 = m(x - x1)
Plug in
y - 3 = (-7/2)[x - (-2)]
y - 3 = (-7/2)x - 7
y = (-7/2)x - 7 + 3
y = (-7/2)x - 4
That is the equation required.
4 0
3 years ago
Help and I will give brainliest <br><br>Don’t answer part a and part b
BaLLatris [955]
What do u need help on
3 0
2 years ago
Read 2 more answers
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