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ANTONII [103]
3 years ago
12

Can u please help me with these question I don’t know how to do it

Mathematics
1 answer:
konstantin123 [22]3 years ago
3 0
1. 4
2. 42
3. 30
4. 4
5. 18
6. 8
7. 36
8. 9
9. 19
10. equivalent
11. not equivalent
12. not equivalent
13. not equivalent
14. equivalent
15. equivalent
Have a good day, my dude.
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Solve the simultaneous equations<br> y = 9 - X<br> y = 2x2 + 4x + 6
kenny6666 [7]

Answer:

\mathrm{Therefore,\:the\:final\:solutions\:for\:}y=9-x,\:y=2x^2+4x+6\mathrm{\:are\:}

\begin{pmatrix}x=\frac{1}{2},\:&y=\frac{17}{2}\\ x=-3,\:&y=12\end{pmatrix}

Step-by-step explanation:

Given the simultaneous equations

y=9-x

y\:=\:2x^2\:+\:4x\:+\:6

Subtract the equations

y=9-x

-

\underline{y=2x^2+4x+6}

y-y=9-x-\left(2x^2+4x+6\right)

\mathrm{Refine}

x\left(2x+5\right)=3

\mathrm{Solve\:}\:x\left(2x+5\right)=3

2x^2+5x=3        ∵ \mathrm{Expand\:}x\left(2x+5\right):\quad 2x^2+5x

\mathrm{Subtract\:}3\mathrm{\:from\:both\:sides}

2x^2+5x-3=3-3

\mathrm{Solve\:with\:the\:quadratic\:formula}

\mathrm{Quadratic\:Equation\:Formula:}

\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}

x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

\mathrm{For\:}\quad a=2,\:b=5,\:c=-3:\quad x_{1,\:2}=\frac{-5\pm \sqrt{5^2-4\cdot \:2\left(-3\right)}}{2\cdot \:2}v\\

x=\frac{-5+\sqrt{5^2-4\cdot \:2\left(-3\right)}}{2\cdot \:2}

  =\frac{-5+\sqrt{5^2+4\cdot \:2\cdot \:3}}{2\cdot \:2}

  =\frac{-5+\sqrt{49}}{2\cdot \:2}

  =\frac{-5+\sqrt{49}}{4}

  =\frac{-5+7}{4}

  =\frac{2}{4}

  =\frac{1}{2}

Similarly,

x=\frac{-5-\sqrt{5^2-4\cdot \:2\left(-3\right)}}{2\cdot \:2}:\quad -3

\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}

x=\frac{1}{2},\:x=-3

\mathrm{Plug\:the\:solutions\:}x=\frac{1}{2},\:x=-3\mathrm{\:into\:}y=9-x

\mathrm{For\:}y=9-x\mathrm{,\:subsitute\:}x\mathrm{\:with\:}\frac{1}{2}:\quad y=\frac{17}{2}

\mathrm{For\:}y=9-x\mathrm{,\:subsitute\:}x\mathrm{\:with\:}-3:\quad y=12

\mathrm{Therefore,\:the\:final\:solutions\:for\:}y=9-x,\:y=2x^2+4x+6\mathrm{\:are\:}

\begin{pmatrix}x=\frac{1}{2},\:&y=\frac{17}{2}\\ x=-3,\:&y=12\end{pmatrix}

3 0
3 years ago
Please help me and tysm!​
Mrac [35]

Answer:

200

Step-by-step explanation:

156.7

since the number before the hundred is more than 4

it becomes 200

5 0
2 years ago
What is the greatest number of tables that can be made? Explain how did you decide on this number?
emmasim [6.3K]

The greatest number of tables that can be made is; 24 tables

<h3>Limiting Resources</h3>

To determine the limiting factor;

  • We must divide the number of all factors available by 72.

Hence, it goes that;

  • Only, 48/72= 0.66 balloons per chair
  • Only 24/72 = 0.33 flowers per chair
  • Only 32/72 = 0.44 candles per chair

However, it follows from the question that; the same number of centerpieces be used on each table.

Hence, the ratio of flowers per chair is lowest and hence, 72×0.33 flowers are used, 24 tables can therefore be set up.

Read more on limiting resources;

brainly.com/question/19231521

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2 years ago
An operational definition is used to ____ a hypothetical construct.
Alona [7]
An operational definition can both define and measure the hypothetical construct. The hypothetical construct is also called psychological construct is an explanatory variable which cannot be directly observed. It is also a tool to understand someone’s behavior. For example measuring you friend happiness.
8 0
3 years ago
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1/7x-5=2 can anyone solve for X?
Vikki [24]

In this equation x = 49.

In order to find this, follow the order of operation of solving equations.

1/7x - 5 = 2 -----> Add 5 to both sides

1/7x = 7 ----> Multiply both sides by 7

x = 49

3 0
3 years ago
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