Answer:
6/7
Step-by-step explanation:
2/3X9/7
simplify 9 by 3
which equals:
2/1X3/7
=6/7
Let
A-----> the point (0.25,1)
B-----> the point (0.50,1.75)
we know that
the equation that represents the linear function is the equation of a line
so
step 1
find the slope m with the points A and B
m=(y2-y1)/(x2-x1)-----> m=(1.75-1)/(0.50-0.25)---> m=0.75/0.25--> m=3
step 2
with m=3 and point A (0.25,1)
find the equation of a line
y-y1=m*(x-x1)-------> y-1=3*(x-0.25)----> y=3x-0.75+1----> y=3x+0.25
the answer isy=3x+0.25
see the attached figure
Answer:
Cross section
Step-by-step explanation:
Cross section refers to the new two dimensional face exposed when we slice through a three dimensional objects.
It can also be the surface or shape exposed by making a straight cut through something, especially at right angles to an axis.
Cross section is the plane surface(two-dimensional objects) formed by cutting across a solid shape (three-dimensional shape) especially perpendicular to its longest axis.
A sequence is a set of numbers, called terms, arranged in some particular order. An arithmetic<span> sequence is a sequence with the difference between two consecutive terms constant. The difference is called the common difference. A </span>geometric <span>sequence is a sequence with the ratio between two consecutive terms constant.
I believe number 2 is geometric and number 5 is arithmetic</span>
Answer:
1. x = 39.67
2. x = 15
3. x = 49.29
4. x = -12.8
5. x = 96
6. x = 42
7. x = 36
8. x = 0
9. x = 78
Step-by-step explanation:
Just remember to always isolate the unknown. Here are the solutions to your problem. I will explain each step for the first for you to give you an idea how the others were worked out.
1.
Add 2 to both sides to get rid of -2 on the left side.
![\dfrac{3x}{7}-2+(2)=15+(2)///dfrac{3x}{7}=17](https://tex.z-dn.net/?f=%5Cdfrac%7B3x%7D%7B7%7D-2%2B%282%29%3D15%2B%282%29%2F%2F%2Fdfrac%7B3x%7D%7B7%7D%3D17)
Multiply both sides by 7 to get rid of 7 on the left side.
![\dfrac{3x}{7}\times 7 = 17\times 7\\\\3x = 119](https://tex.z-dn.net/?f=%5Cdfrac%7B3x%7D%7B7%7D%5Ctimes%207%20%3D%2017%5Ctimes%207%5C%5C%5C%5C3x%20%3D%20119)
Divide both sides by 3 to get rid of 3 on the left side.
![\dfrac{3x}{3} = \dfrac{119}{3}\\\\x = 39.67](https://tex.z-dn.net/?f=%5Cdfrac%7B3x%7D%7B3%7D%20%3D%20%5Cdfrac%7B119%7D%7B3%7D%5C%5C%5C%5Cx%20%3D%2039.67)
You could also transpose everything by the x to the other side of the equation. Just remember that whatever OPERATION used on the original side, must be opposite on the other side. I'll use the second problem to show this.
![\dfrac{2x}{5}+1=7](https://tex.z-dn.net/?f=%5Cdfrac%7B2x%7D%7B5%7D%2B1%3D7)
Transpose 1 on the left to the right. It is addition on the left, then it would be subtraction on the other side.
![\dfrac{2x}{5}+1=7\\\\\dfrac{2x}{5}=7-1\\\\\dfrac{2x}{5}=6](https://tex.z-dn.net/?f=%5Cdfrac%7B2x%7D%7B5%7D%2B1%3D7%5C%5C%5C%5C%5Cdfrac%7B2x%7D%7B5%7D%3D7-1%5C%5C%5C%5C%5Cdfrac%7B2x%7D%7B5%7D%3D6)
Transpose 5 from the left side to the right. It is division on the left, then it would be multiplication on the right.
![\dfrac{2x}{5}=6\\\\2x=6\times 5\\\\2x=30](https://tex.z-dn.net/?f=%5Cdfrac%7B2x%7D%7B5%7D%3D6%5C%5C%5C%5C2x%3D6%5Ctimes%205%5C%5C%5C%5C2x%3D30)
Transpose 2 from the left side to the right. It is multiplication on the left, then it would be division on the right.
![2x=30\\\\x=\dfrac{30}{2}\\\\x=15](https://tex.z-dn.net/?f=2x%3D30%5C%5C%5C%5Cx%3D%5Cdfrac%7B30%7D%7B2%7D%5C%5C%5C%5Cx%3D15)
Let's move on with the rest now.
3.
![\dfrac{7x}{15}-1=22\\\\\dfrac{7x}{15}=22+1\\\\\dfrac{7x}{15}=23\\\\7x=23\times15\\\\7x=345\\\\x=\dfrac{345}{7}\\\\x=49.29](https://tex.z-dn.net/?f=%5Cdfrac%7B7x%7D%7B15%7D-1%3D22%5C%5C%5C%5C%5Cdfrac%7B7x%7D%7B15%7D%3D22%2B1%5C%5C%5C%5C%5Cdfrac%7B7x%7D%7B15%7D%3D23%5C%5C%5C%5C7x%3D23%5Ctimes15%5C%5C%5C%5C7x%3D345%5C%5C%5C%5Cx%3D%5Cdfrac%7B345%7D%7B7%7D%5C%5C%5C%5Cx%3D49.29)
4.
![\dfrac{5x}{8}+10=2\\\\\dfrac{5x}{8}=2-10\\\\\dfrac{5x}{8}=-8\\\\5x=-8\times8\\\\5x=-64\\\\x=\dfrac{-64}{5}\\\\x=-12.8](https://tex.z-dn.net/?f=%5Cdfrac%7B5x%7D%7B8%7D%2B10%3D2%5C%5C%5C%5C%5Cdfrac%7B5x%7D%7B8%7D%3D2-10%5C%5C%5C%5C%5Cdfrac%7B5x%7D%7B8%7D%3D-8%5C%5C%5C%5C5x%3D-8%5Ctimes8%5C%5C%5C%5C5x%3D-64%5C%5C%5C%5Cx%3D%5Cdfrac%7B-64%7D%7B5%7D%5C%5C%5C%5Cx%3D-12.8)
5.
![\dfrac{x}{6}+4=20\\\\\dfrac{x}{6}=20-4\\\\\dfrac{x}{6}=16\\\\x=16\times6\\\\x=96](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%7D%7B6%7D%2B4%3D20%5C%5C%5C%5C%5Cdfrac%7Bx%7D%7B6%7D%3D20-4%5C%5C%5C%5C%5Cdfrac%7Bx%7D%7B6%7D%3D16%5C%5C%5C%5Cx%3D16%5Ctimes6%5C%5C%5C%5Cx%3D96)
6.
![\dfrac{x}{3}-4=10\\\\\dfrac{x}{3}=10+4\\\\\dfrac{x}{3}=14\\\\x=3\times14\\\\x=42](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%7D%7B3%7D-4%3D10%5C%5C%5C%5C%5Cdfrac%7Bx%7D%7B3%7D%3D10%2B4%5C%5C%5C%5C%5Cdfrac%7Bx%7D%7B3%7D%3D14%5C%5C%5C%5Cx%3D3%5Ctimes14%5C%5C%5C%5Cx%3D42)
7.
![\dfrac{x}{6}+2=8\\\\\dfrac{x}{6}=8-2\\\\\dfrac{x}{6}=6\\\\x=6\times6\\\\x=36](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%7D%7B6%7D%2B2%3D8%5C%5C%5C%5C%5Cdfrac%7Bx%7D%7B6%7D%3D8-2%5C%5C%5C%5C%5Cdfrac%7Bx%7D%7B6%7D%3D6%5C%5C%5C%5Cx%3D6%5Ctimes6%5C%5C%5C%5Cx%3D36)
8.
![\dfrac{x}{9}+8=8\\\\\dfrac{x}{9}=8-8\\\\\dfrac{x}{9}=0\\\\x=0\times9\\\\x=0](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%7D%7B9%7D%2B8%3D8%5C%5C%5C%5C%5Cdfrac%7Bx%7D%7B9%7D%3D8-8%5C%5C%5C%5C%5Cdfrac%7Bx%7D%7B9%7D%3D0%5C%5C%5C%5Cx%3D0%5Ctimes9%5C%5C%5C%5Cx%3D0)
9.
![\dfrac{x}{6}+7=20\\\\\dfrac{x}{6}=20-7\\\\\dfrac{x}{6}=13\\\\x=13\times6\\\\x=78](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%7D%7B6%7D%2B7%3D20%5C%5C%5C%5C%5Cdfrac%7Bx%7D%7B6%7D%3D20-7%5C%5C%5C%5C%5Cdfrac%7Bx%7D%7B6%7D%3D13%5C%5C%5C%5Cx%3D13%5Ctimes6%5C%5C%5C%5Cx%3D78)