Answer:
Step-by-step explanation:
When we multiply a polynomial by a specific monomial, all terms in the polynomial get multiplied by the monomial.
So we can do this by term.
Multiplying x by x to the something power will just increase the exponent on the x term by one (since powers are just x multiplied by itself). This means the exponent here will increase by 1, so this becomes 
.
Same logic applies to the second term: 
, raise the exponent by one, 
.
For the third term, if there is no exponent on a term you can assume it's exponent is 1 (so 
in this case - as 
). Again, using the same logic, this turns into 
.
For the last term, when we multiply a constant by a variable, we get a term with a variable and a coefficient - the constant becomes the coefficient and the variable stays the variable. Therefore, 
.
Adding these terms all together gets us 
.
Hope this helped!
The little lines through the two sides of the triangle mean the sides are equal length.
Because the sides are equal, the two bottom angles are also the same.
Since angle B is given as 46 degrees, angle C is also 46 degrees.
The three inside angles of a triangle need to equal 180 degrees.
Angle A = 180 - 46 - 46 = 88 degrees.
Answer:
10(3)^x
Step-by-step explanation:
The function contains the points (2,90) and (4,810). Use the general form y=abx to write two equations:
90=ab^2 and 810=ab^4
Solve each equation for a:
a=90/b^2 and a=810/b^4
Since a=a, set the other sides of the equations equal and solve for b.
90/b2=810/b4
Cross multiply, then divide and simplify as follows:
90b^4=810b^2
b^4/b^2=810/90
b^2=90
b^3
Now, use the value of b and the point (2,90) to find the value of a.
90=a(3^2)
a=10
So, substitute answers in original equation for a final answer of f(x)=10(3)^x.
Answer:
5x+3=2x+21
Step-by-step explanation:
is that what you were looking for?
Answer:
I cannot give you a full answer because it's missing crucial information- the points on the graph. However, I can give you insight!
Suppose one point is (2,3), if you want to scale it by a factor of 3, you would simply multiply both variables by 3. So the new point would be (6,9).
If you want to scale (4,7) by factor of 2, you would multiply the 4 and the 7 with 2. The new point would be (8,14).
