Answer:
translation similar
Step-by-step explanation:
A. x-intercepts: (1,0), (7,0)
B. Vertex: (3,-16)
C.Vertex: (-3,20)
D. Vertex: (3, 20)
E. x-intercepts: (-1,0). (7.0)
F. x-intercepts: (1.0), (-7,0)
The vertex and intercepts of the graph of will be and , respectively.
A vertex in a quadratic equation is the minimum or maximum point of the equation and anintercept of a graph is the point at which the graph intersects the axis.
Vertex form,
We have,
Now,
Find the intercept and to find intercept put ;
i.e.
Now using Mid-term split method find value of ;
⇒
⇒
So, these are the intercept of the expression.
Now find the vertex using the above given formula;
Rewrite in vertex form
Add and subtract in given expression;
Now convert quadratic part of equation in ;
Now compare it with
We get,
So, these are the vertex of expression.
Hence, we can say that the vertex and intercepts of the graph of will be and , respectively.
To know more about vertex and intercepts of the graph click here
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eight less than the quotient of x and 3
A. x/3−8
B.3x−8
C. 8−x/3
D. x−8/3
question 2 . Taylor buys 6 bus tickets for $2.50 each. He pays for the tickets with a $20 bill.
How much change does Taylor receive?
A.$5.00
B.$9.50
C.$12.50
D.$15.00
Answer:
Number Two is 5.00$ in change,and The answer to number one is 8-x3
Step-by-step explanation:
3.) Explain what your solution means in the context of the problem.
Answer:
1)
Ola taxi charges a $8 flat rate in addition to $2 per mile. Paul has no more than $10 to spend on a ride.
2)
Let x be the number of miles.
Then, we have inequality:
Solve the inequality: .
Subtract 2 from both the sides:
Simplify:
Divide by 8 both sides we get;
as shown in figure 1.
4)
From the context of the problem :
we can say that Paul can travel 1 miles or less before reaching his limit of $10.
Answer:
A football team wants to by a football. The football costs $51. There are 11 members of the team. How much will each of the team members contribute to be able to purchase the football if they had $29 already.
Solution: Let the amount each team member contributes be x, then
11x + 29 ≥ 51
11x ≥ 51 - 29
11x ≥ 22
x ≥ 22/11
x ≥ 2
Step-by-step explanation:
The capacity of each bottle is .
Further explanation:
Given:
Julianbought 3.9liters of cranberry juice.
Jay bought 8.74 liters of Apple juice.
They mixed both the juice equally.
Procedure:
1. First find total capacity of both the juice.
2. Now, divide by 2 to find weight of juice in each bottle.
Calculation:
The total juice (in liters) can be obtained by adding both the juice brought by the Julian and Jay.
Therefore, the total juice (in liters) is 12.64 liters.
To obtain the number of liters in each bottle can be obtain by divide the total juice in liter by 2.
Therefore the capacity of each bottle of juice is 6.32 liters.
Thus, the capacity of each bottle is .
Method 2:
Simple Method:
The Average of two juices gives the value of number of liters in each bottle.
The average is defined as the sum of the items divide by the number of items.
Thus, the capacity of each bottle is .
Learn more:
1. Learn more about algebraic expression brainly.com/question/1600376
2. Learn more about averagebrainly.com/question/3959122
Answer details:
Grade: Middle school
Subject: Mathematics
Chapter: Algebraic expression
Keywords:
Julian, Jay, apple juice, juice, cranberry juice, 3.9 liters, 8.74 liters, mixed, equally, bottles, two juice, poured, 6.32 liters, liters.