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2 years ago

14

List the multiples of 6 between 6 and 54

1 answer:

Rudiy272 years ago

7 0

Answer:

12, 30, 36, 48

Step-by-step explanation:

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Convert 50 m/s to miles/hr

poizon [28]

Answer is: 111.847

Method:
1 m/s = 2.23693629 mi/hr

Therefore ->
50 (m/s) * 2.23693629 (mi/hr) = 111.847 mi/hr

(Thanks to google)

7 0

3 years ago

Y=-x^2+2x+10<br> y=x+2<br><br> Substitution <br> Please show your work<br> Need ASAP

erik [133]

Answer:

The solutions of the system of equations are the points

$(\frac{1-\sqrt{33}} {2},\frac{5-\sqrt{33}} {2})$

$(\frac{1+\sqrt{33}} {2},\frac{5+\sqrt{33}} {2})$

Step-by-step explanation:

we have

$y=-x^{2} +2x+10$ ----> equation A

$y=x+2$ ----> equation B

Solve the system by substitution

substitute equation B in equation A

$x+2=-x^{2} +2x+10$

solve for x

$-x^{2} +2x+10-x-2=0$

$-x^{2} +x+8=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-x^{2} +x+8=0$

so

$a=-1\\b=1\\c=8$

substitute in the formula

$x=\frac{-1\pm\sqrt{1^{2}-4(-1)(8)}} {2(-1)}$

$x=\frac{-1\pm\sqrt{33}} {-2}$

$x=\frac{-1+\sqrt{33}} {-2}$ -----> $x=\frac{1-\sqrt{33}} {2}$

$x=\frac{-1-\sqrt{33}} {-2}$ -----> $x=\frac{1+\sqrt{33}} {2}$

<em>Find the values of y</em>

For $x=\frac{1-\sqrt{33}} {2}$

$y=x+2$

$y=\frac{1-\sqrt{33}} {2}+2$ ----> $y=\frac{5-\sqrt{33}} {2}$

For $x=\frac{1+\sqrt{33}} {2}$

$y=x+2$

$y=\frac{1+\sqrt{33}} {2}+2$ ----> $y=\frac{5+\sqrt{33}} {2}$

therefore

The solutions of the system of equations are the points

$(\frac{1-\sqrt{33}} {2},\frac{5-\sqrt{33}} {2})$

$(\frac{1+\sqrt{33}} {2},\frac{5+\sqrt{33}} {2})$

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2 years ago

Formar for solving an arithmetic progression

mixas84 [53]

Step-by-step explanation:

$a_{n} = a + (n - 1) \times d$

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3 years ago

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The axis of symmetry for the graph of the function f(x) = 3x2 + bx + 4 is x = 3/2 . What is the value of b?

kvasek [131]

The axis of symmety is the x value of the vertex

to find the x value of the vertex of ax^2+bx+c=0
x value=-b/2a

3x^2+bx+4=0
3/2=vertex

-b/2(3)=3/2
-b/6=3/2
times 6
-b=18/2
-b=9
times -1
b=-9

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3 years ago

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Wats the equation??<br> 9/4 = Division 4

lara [203]

9/4 = 9 divided by 4

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3 years ago