Answer:
see below
Step-by-step explanation:
f(x) = 5x^2 + 2x − 3
(5x-3) ( x+1)
To find the x intercepts, set this equal to zero
0= (5x-3) ( x+1)
Using the zero product property
5x-3 =0 x+1 =0
5x=3 x =-1
x = 3/5 x = -1 are the zeros
End behavior
x = -infinity
5 ( -infinity )^2
5 (infinity) = infinity
as x goes to negative infinity, f(x) goes to infinity
x = infinity
5 ( infinity )^2
5 (infinity) = infinity
as x goes to infinity, f(x) goes to infinity
To plot the function, we need to plot the zeros ( or x intercepts) and the end behavior as well as the vertex to plot the graph
Answer:
y° = 110°
z° = 26°
Step-by-step explanation:
Looking at the above geometry, we have two parallel lines , m and m
We have been asked to solve for y° and z°
Step 1
We solve for y°
On line n , we have can see that 70° and y° are CONSECUTIVE INTERIOR ANGLES
It is important to note that THE SUM OF TWO CONSECUTIVE INTERIOR ANGLES = 180°
Hence,
70° + y° = 180°
y° = 180° - 70°
y° = 110°
Step 2
Solve for z°
Looking at the geometric diagram we can see that
y° and (6z - 46) ° are ALTERNATE INTERIOR ANGLES
This means
y° = (6z - 46) °
In step 1 , we have already solved for y°
y° = 110°
Hence,
110° = (6z - 46) °
110° = 6z° - 46°
collect like terms
110° + 46° = 6z°
156° = 6z°
Divide both sides by 6
156°/6 = z°
z° = 26°
Therefore, the value y = 110° and the value of z = 26°
Answer: Option 'B' is correct.
Step-by-step explanation:
since we have given that
Time taken to build a cabinet by Genna = 4 hours.
Time taken to build a cabinet by Claude = 3 hours
Now, time taken by both Genna and Claude to build a cabinet together is to be find.
Work done by Genna is given by
Work done by Claude is given by
According to question,
Hence, Option 'B' is correct.
Answer:
The real answer is 6
Step-by-step explanation:
Fairly simple. You know the length and the area, but you don't know the width. So your equation looks like this: 30 x ? = 180. But to figure out the width, you change the position of the numbers in the equation like this:
180 ÷ 30 = ?. Then you solve. 180 ÷ 30 = 6. If you want to double check your answer, you can plug in your answer to your original equation, 30 x 6 = 180.
Hope this helps!
Answer:3
Step-by-step explanation:
3 ^x= 27
X=3
