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diamong [38]
3 years ago
11

Can someone help me with this problem://

Mathematics
1 answer:
fiasKO [112]3 years ago
8 0

You can simply collect terms, subtract the constant and divide by the x-coefficient. It is generally considered easier to do those steps if you eliminate fractions first (multiply by 12).

Multiply by 12

... 4(x -1) +3(x +5) = 6

... 4x -4 +3x +15 = 6 . . . . . eliminate parentheses

... 7x +11 = 6 . . . . . . . . . . . .collect terms

... 7x = -5 . . . . . . . . . . . . . . subtract the constant 11

... x = -5/7 . . . . . . . . . . . . . divide by the x-coefficient

_ _ _ _ _ _ _

Here it is the other way.

... x(1/3 +1/4) +(-1/3 +5/4) = 1/2

... (7/12)x + 11/12 = 1/2 . . add the fractions to finish collecting terms

... x + 11/7 = 6/7 . . . . . . . multiply by 12/7

... x = -5/7 . . . . . . . . . . . subtract 11/7

At the third step here, you could subtract 11/12 before doing the multiply. You get the same answer, but you have to do the extra conversion of 1/2=6/12.

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Find the prime facrorization for 100 A.2² × 5² B.2×50 C.4×25 D.2³ × 5² E. 2² × 5³ ​
d1i1m1o1n [39]

Answer:

A

Step-by-step explanation:

100-25*4=5 squared*2 sqaured

so A

6 0
3 years ago
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I need help with elimination with substitution. The equations are 3x+4y=19 and 3x+6y=33
olganol [36]
For elimination, multiply one whole equation by negative one (-1), then add or subtract according to your signs. After that, it will be a one-step equation.

3x + 4y = 19          3x + 4y = 19             3x + 4y = 19          -2y = -14        y = 7
3x + 6y = 33     -1 (3x + 6y = 33)          -3x - 6y = -33          -14 / -2

Then you would go back and substitute the value of (y) back into either equation and then solve for the remaining variable (x). Finally, use both values to make an ordered pair.

3x + 4y = 19          3x = -9          x = -3          (-3 , 7)
3x + 4(7) = 19       (-9 / 3)
3x + 28 = 19          

Good Luck

4 0
3 years ago
Solve the equation <img src="https://tex.z-dn.net/?f=x%5E2%2B25%3D0" id="TexFormula1" title="x^2+25=0" alt="x^2+25=0" align="abs
SVEN [57.7K]

x = 5i   x =-5i

Step-by-step explanation:

x^2+25=0

Rewriting

x^2 - (-25)=0

Writing as the difference of squares

a^2 - b^2= (a-b) (a+b)

where a = x and b = (sqrt(-25)) =±5i

( x-5i) ( x+5i) =0

Using the zero product property

x-5i =0    x+5i =0

x = 5i   x =-5i

4 0
3 years ago
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The perimeter of a church window is 60 inches. If the window is in the shape of a regular pentagon, what is the length of each s
stiv31 [10]
We have to calculate the length of each side of the regular pentagon and to choose correct answer . It is given that the perimeter of the pentagon is 60 inches. And the perimeter is : P = 5 * L, where L stays for the length of each side. 60 in = 5 * L; L = 60 : 5; L = 12 in. Answer: C. 12 inches<span>.</span>
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3 years ago
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how do I solve this quadratic simultaneous equation 2y+2x=7 and x^2-4y^2=8 it has two sets of solutions and I'm solving by both
Ghella [55]
These are all the possible answers i know from experience.

2x + 2y = 7
x^2 - 4y^2 = 8

2x = -2y + 7
x = -y + 7/2

(-y + 7/2)^2 - 4y^2 = 8

y^2 - 7y + 49/4 - 4y^2 = 8

0 = 3y^2 + 7y + 8 - 49/4

0 = 12y^2 + 28y + 32 - 49

0 = 12y^2 + 28y - 17

y = (-b ± √(b^2 - 4ac))/(2a)

y = (-28 ± √(28^2 - 4(12)(-17)))/(2(12))

Dividing by 2 is like dividing by √(4):

y = (-14 ± √(7*28 + (12)(17)))/(2*6)

y = (-7 ± √(7*7 + (3)(17)))/6

y = (-7 ± 10)/6 = 1/2 or -17/6

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<span>Solutions are (3,1/2) and (19/3,-17/6)</span>
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