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7nadin3 [17]
1 year ago
6

Which equation represents a graph with a vertex at (1,-6)?

Mathematics
1 answer:
aivan3 [116]1 year ago
3 0

Answer:

B.y = 3x2 - 6x - 3 is the second option of the options provided as the solution.

Write y+6=3(x2-1)2=> y+6=3x2-6x+3=> y=3x2-6x-3 as the justification.

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The height of a triangle is 4 m less than its base. The area of the triangle is 48 m^2.
masya89 [10]

Answer:

Step-by-step explanation:

Let x = base measurement; then height = (x-4).

 

A = ½•base•height 48 = ½x(x-4

4 0
3 years ago
Solve the following system of equations by substitution. Show all steps.
Alinara [238K]

Answer:

Given system of equations:

\begin{cases}f(x)=-x^2+2x+3\\g(x)=-2x+3\end{cases}

To solve by substitution, equate the equations and solve for x:

\begin{aligned}f(x) & = g(x)\\\implies -x^2+2x+3 & = -2x+3\\-x^2+4x & = 0\\x^2-4x & = 0\\x(x-4) & = 0\\\implies x & = 0\\\implies x-4 & = 0 \implies x=4\end{aligned}

Therefore, the x-values of the solution are x = 0 and x = 4.

To find the y-values of the solution, substitute the found values of x into the functions:

f(0)=-(0)^2+2(0)+3=3

g(0)=-2(0)+3=3

f(4)=-(4)^2+2(4)+3=-5

g(4)=-2(4)+3=-5

Therefore, the solutions to the given system of equations are:

(0, 3) and (4, -5)

4 0
2 years ago
The answer to – 7x + y = -10
Nataliya [291]

Step-by-step explanation:

y=7x-10

3 0
3 years ago
Read 2 more answers
A calculator screen shows a number in scientific notation as 4.18E‒8. Write this number in standard form.
Citrus2011 [14]

Answer:

.0000000418

Step-by-step explanation:

So you will start from the decimal and move 8 places to the left.

E-8 is the same as 10^-8 so you will move to the left

If it was E8 you would move to the right 8 places.

6 0
3 years ago
How to do the problem ​
charle [14.2K]

Answer:

the answer is 10n-13

Step-by-step explanation:

this is a one step problem, all you need to do is add all the like terms together such as n and 9n and since they are both positives they add up to 10n and then with -10 and -3 they would add together to make -13. thats all there is to it, the answer is 10n-13

7 0
2 years ago
Read 2 more answers
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