Answer:
g(5x)=0
Step-by-step explanation:
Given that g(x)=4
From the graph when x=-2 then g(x)=4
Hence 5x=-10
Now from the graph
g(-10)=0
Answer:
(a)Cat
(b)8 animals
(c)6 people
Step-by-step explanation:
From the attached diagram:
Let the
be x.
Half of
=x/2
From the pictogram, we then have:
![Cat = x+\frac{x}{4} \\Dog=x+\frac{3x}{4}\\Giraffe=2x+\frac{x}{2}\\Monkey =x+\frac{x}{2}\\Dolphin=3x](https://tex.z-dn.net/?f=Cat%20%3D%20x%2B%5Cfrac%7Bx%7D%7B4%7D%20%5C%5CDog%3Dx%2B%5Cfrac%7B3x%7D%7B4%7D%5C%5CGiraffe%3D2x%2B%5Cfrac%7Bx%7D%7B2%7D%5C%5CMonkey%20%3Dx%2B%5Cfrac%7Bx%7D%7B2%7D%5C%5CDolphin%3D3x)
Therefore:
![x+\frac{x}{4} +x+\frac{3x}{4}+2x+\frac{x}{2}+x+\frac{x}{2}+3x=80\\8x+\frac{x}{4}+\frac{3x}{4}+\frac{x}{2}+\frac{x}{2}=80\\10x=80\\x=8](https://tex.z-dn.net/?f=x%2B%5Cfrac%7Bx%7D%7B4%7D%20%2Bx%2B%5Cfrac%7B3x%7D%7B4%7D%2B2x%2B%5Cfrac%7Bx%7D%7B2%7D%2Bx%2B%5Cfrac%7Bx%7D%7B2%7D%2B3x%3D80%5C%5C8x%2B%5Cfrac%7Bx%7D%7B4%7D%2B%5Cfrac%7B3x%7D%7B4%7D%2B%5Cfrac%7Bx%7D%7B2%7D%2B%5Cfrac%7Bx%7D%7B2%7D%3D80%5C%5C10x%3D80%5C%5Cx%3D8)
So we have the following numbers
![Cat = x+\frac{x}{4} =8+\frac{8}{4}=10\\Dog=x+\frac{3x}{4}=8+\frac{3*8}{4}=14\\Giraffe=2x+\frac{x}{2}=2*8+\frac{8}{2}=20\\Monkey =x+\frac{x}{2}=8+\frac{8}{2}=12\\Dolphin=3x=3*8=24](https://tex.z-dn.net/?f=Cat%20%3D%20x%2B%5Cfrac%7Bx%7D%7B4%7D%20%3D8%2B%5Cfrac%7B8%7D%7B4%7D%3D10%5C%5CDog%3Dx%2B%5Cfrac%7B3x%7D%7B4%7D%3D8%2B%5Cfrac%7B3%2A8%7D%7B4%7D%3D14%5C%5CGiraffe%3D2x%2B%5Cfrac%7Bx%7D%7B2%7D%3D2%2A8%2B%5Cfrac%7B8%7D%7B2%7D%3D20%5C%5CMonkey%20%3Dx%2B%5Cfrac%7Bx%7D%7B2%7D%3D8%2B%5Cfrac%7B8%7D%7B2%7D%3D12%5C%5CDolphin%3D3x%3D3%2A8%3D24)
(a)Cat was the least popular
(b)
represents 8 animals
(c)
Number of People who preferred giraffe=20
Number of People who preferred dogs=14
Difference=20-14=6
Therefore, 6 more people preferred giraffes than dogs.
Answer:12 lunches
Step-by-step explanation:
If she only has 12 sandwiches and she wants to use the same amount of each item to make the most lunches... I believe it would be 12.
Answer:
Tangents of a circle from the same exterior point have equal distances from the external point to the points of tangency. Therefore, AB is 7 inches also.
If you draw this accurately, you can actually measure the distances to verify it. Try it!
Step-by-step explanation:
Answer:
Sacramento
Step-by-step explanation:
S 11+9+14+12+8=54
SF 11+8+8+9+12=48