Answer:
h=6
Step-by-step explanation:
a=b x h x 0.5
9=3 x h x 0.5
9/3=3/.5=6
h=6
value of x is: ![x=\frac{-31}{12}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-31%7D%7B12%7D)
Step-by-step explanation:
We need to solve the equation f(x)=g(x)
where ![f(x)=(\frac{1}{2})^2-3](https://tex.z-dn.net/?f=f%28x%29%3D%28%5Cfrac%7B1%7D%7B2%7D%29%5E2-3)
and ![g(x) = 3x + 5](https://tex.z-dn.net/?f=g%28x%29%20%3D%203x%20%2B%205)
Solving to find f(x)=g(x)
Putting values of f(x) and g(x)
![f(x)=g(x)\\(\frac{1}{2})^2-3=3x + 5\\\frac{1}{4}-3=3x + 5\\Subtarct\,\,5\,\,on\,\,both\,\,sides:\\\frac{1}{4}-3-5=3x + 5-5\\\frac{1}{4}-8=3x\\Taking\,\,LCm\,\,on\,\,left\,\,side\\\frac{1-8*4}{4}=3x\\\frac{-31}{4}=3x\\Divide\,\,both\,\,sides\,\,by\,\,3\\x=\frac{-31}{4*3}\\x=\frac{-31}{12}](https://tex.z-dn.net/?f=f%28x%29%3Dg%28x%29%5C%5C%28%5Cfrac%7B1%7D%7B2%7D%29%5E2-3%3D3x%20%2B%205%5C%5C%5Cfrac%7B1%7D%7B4%7D-3%3D3x%20%2B%205%5C%5CSubtarct%5C%2C%5C%2C5%5C%2C%5C%2Con%5C%2C%5C%2Cboth%5C%2C%5C%2Csides%3A%5C%5C%5Cfrac%7B1%7D%7B4%7D-3-5%3D3x%20%2B%205-5%5C%5C%5Cfrac%7B1%7D%7B4%7D-8%3D3x%5C%5CTaking%5C%2C%5C%2CLCm%5C%2C%5C%2Con%5C%2C%5C%2Cleft%5C%2C%5C%2Cside%5C%5C%5Cfrac%7B1-8%2A4%7D%7B4%7D%3D3x%5C%5C%5Cfrac%7B-31%7D%7B4%7D%3D3x%5C%5CDivide%5C%2C%5C%2Cboth%5C%2C%5C%2Csides%5C%2C%5C%2Cby%5C%2C%5C%2C3%5C%5Cx%3D%5Cfrac%7B-31%7D%7B4%2A3%7D%5C%5Cx%3D%5Cfrac%7B-31%7D%7B12%7D)
So, value of x is: ![x=\frac{-31}{12}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-31%7D%7B12%7D)
The graph will be a straight line x= -2.58 or x = -31/12
Keywords: Composition of Functions
Learn more about Composition of Functions at:
#learnwithBrainly
The predicted value of y when x =7 is -8.5
<h3>How to predict the y value?</h3>
Start by drawing the line of best fit through the points
See attachment for the graph.
From the attached graph, we have the following value
y = -8.5 when x = 7
Hence, the predicted value of y when x =7 is -8.5
Read more about scatter plots at:
brainly.com/question/2749543
#SPJ1
7, if it was plus. but the question says suntraction.