the answer is true i think
Answer:
it is true
Step-by-step explanation:
The solution to the equation r + 11 + 8r = 29 is r = 2.
Given the equation in the question:
r + 11 + 8r = 29
To solve the equation r + 11 + 8r = 29, first, collect and combine the x terms on one side of the equation and the constant terms on the other side:
r + 11 + 8r = 29
Collect and add like terms:
r + 8r + 11 = 29
9r + 11 = 29
Subtract 11 from both sides of the equation:
9r + 11 - 11 = 29 - 11
9r = 29 - 11
9r = 18
Isolate r by dividing both sides by 9:
r = 18/9
r = 2
Therefore, the value of r is 2.
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B. 2/5
C. 42/48
D. 245/1152
Answer: the answer to this problem is 13!
Step-by-step explanation: To solve this problem, we must work backward. So the last step we did in this problem was adding five to the number, so to work backward we must subtract 5 from 96 to get 91. Now then the last step was to multiply by seven and since we are working backward, we must divide by seven to get our original number 13.
This is the equation: (13*7)+5
Hope this helped :)
Answer:
6.40
Step-by-step explanation:
Given:
The net value of the bakery (in thousands of dollars) t months after its creation is modeled by
Paul wants to know what his bakery's lowest net value will be.
To find:
The function in a different form (factored or vertex) where the answer appears as a number in the equation.
Solution:
Factor form is used to find the x-intercepts and vertex form is used to find the extreme values (maximum or minimum). So, here we need to find the vertex form.
We have,
Adding and subtract square of half of 6 in the parenthesis, we get
Vertex form:
where, (h,k) is vertex.
On comparing this equation with vertex form, we get the of the function is (3,-32).
Therefore, the vertex form is and the function has minimum value at (3,-32). It means, minimum net value of the bakery is -32 after 3 months.
The vertex form is v(t) = 2(t - 3)² - 32 and the function has a minimum value at (3,-32). It means the minimum net value of the bakery is -32 after 3 months.
Given that,
Paul opened a bakery.
The net value of the bakery (in thousands of dollars) t months after its creation is modelled by the equation v(t) = 2t²- 12t - 14.
Paul wants to determine the bakery's lowest net value.
To rewrite the function in a different form,
Find the vertex of the quadratic equation.
The vertex form of a quadratic equation is given by,
v(t) = a(t-h)² + k,
Where (h, k) represents the coordinates of the vertex.
Proceed, v(t) = 2t² - 12t - 14,
v(t) = 2(t² - 6t) - 14,
v(t) = 2(t² - 6t + 3² - 3²) - 14
v(t) = 2(t - 3)² - 32
Vertex form:
v(t) = a(t-h)² + k,
where, (h,k) is vertex.
On comparing this equation with vertex form, we get the function is (3,-32).
Therefore,
The vertex form is v(t) = 2(t - 3)² - 32 and the function has a minimum value at (3,-32). It means minimum net value of the bakery is -32 after 3 months.
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