Since you can directly sum two fractions with the same denominator, we can rearrange the sum as follows:
![-\dfrac{7}{16} - \dfrac{5}{16} - \dfrac{1}{4}](https://tex.z-dn.net/?f=%20-%5Cdfrac%7B7%7D%7B16%7D%20-%20%5Cdfrac%7B5%7D%7B16%7D%20-%20%5Cdfrac%7B1%7D%7B4%7D%20)
Now we can sum the first two fraction easily:
![\dfrac{-7-5}{16} - \dfrac{1}{4} = \dfrac{-12}{16} - \dfrac{1}{4}](https://tex.z-dn.net/?f=%20%5Cdfrac%7B-7-5%7D%7B16%7D%20-%20%5Cdfrac%7B1%7D%7B4%7D%20%3D%20%5Cdfrac%7B-12%7D%7B16%7D%20-%20%5Cdfrac%7B1%7D%7B4%7D)
We can simplify the first fraction: 12/16=3/4. So, we can sum the two fractions again because they have the same denominator:
![\dfrac{-12}{16} - \dfrac{1}{4} = \dfrac{-3}{4} - \dfrac{1}{4} = \dfrac{-3-1}{4} = \dfrac{-4}{4} = -1](https://tex.z-dn.net/?f=%20%5Cdfrac%7B-12%7D%7B16%7D%20-%20%5Cdfrac%7B1%7D%7B4%7D%20%3D%20%5Cdfrac%7B-3%7D%7B4%7D%20-%20%5Cdfrac%7B1%7D%7B4%7D%20%3D%20%5Cdfrac%7B-3-1%7D%7B4%7D%20%3D%20%5Cdfrac%7B-4%7D%7B4%7D%20%3D%20-1)
Answer:
(1,3) or (3,7)
Step-by-step explanation:
y=x²-2x+4.......... i
y=2x+1............... ii
Equating i and ii,
x²-2x+4=2x+1
x²-2x-2x+4-1=0
x²-4x+3=0
x²-x-3x+3=0
x(x-1)-3(x-1)=0
(x-1)(x-3)=0.
Either, x=1 or x=3.
If x=1,y=3 and if x=3, y=7
The points are (1,3) or (3,7)
Answer:
4
Step-by-step explanation:
log6((x+5)x)
log6(x^2 + 5x) = 2
x^2 + 5x = 6^2
x^2 + 5x -36 = 0
(x + 9) (x - 4) x =-9, 4
x = 4
Answer:
y = 6x + 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 6 and given point (0, 4 ) ⇒ c = 4
y = 6x + 4 ← equation of line
The geometric mean<span> of the two numbers is the square root of their product. </span>The geometric mean<span> of 25 and 9 is 15. So, </span>the geometric mean<span> of the three numbers is the cube root of their product.</span>