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kodGreya [7K]
3 years ago
10

1 Micah paints birdhouses to sell at a fair. The table shows

Mathematics
1 answer:
seropon [69]3 years ago
5 0
Result is that b=12p

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What are the vertex and x-intercepts of the graph of the function given below?
Travka [436]
In order to determine the vertex of this, you can complete the square.  To do that, first set the equation equal to 0, then move the -35 over to the other side by adding.  That gives us x^{2} -2x=35.  Now we can complete the square.  Do this by taking half of the linear term, squaring it, and adding it in to both sides.  Our linear term is 2x.  Half of 2 is 1, and 1 squared is 1.  So we add 1 to both sides, creating something that looks like this: x^{2} -2x+1=35+1.  We will do the math on the right and get 36, and the left will be expressed as the perfect square binomial we created by doing this whole process.  (x-1)^2=36.  Now move the 36 over by subtraction and set it back to equal y and your vertex is apparent.  It is (1, -36).  You find the x-intercepts when y = 0.  That means you need to set your original equation equal to zero and factor it.  The easiest, surest way to do this is to use the quadratic formula.  Doing that gives us x values of 7 and -5.  And you're done!
7 0
2 years ago
Read 2 more answers
Student Produced Response - Calculator
faltersainse [42]

Answer:

\dfrac{a}{b}=0.75.

Step-by-step explanation:

If two equations a_1x+b_1y+c_1=0 and a_2x+b_2y+c_2=0 has infinitely many solutions, then

\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}

The given equations are

ax+by=10

3x+4y=20

It is given that the above system of equations has infinitely many solutions. So,

\dfrac{a}{3}=\dfrac{b}{4}=\dfrac{10}{20}

\dfrac{a}{3}=\dfrac{b}{4}=\dfrac{1}{2}

Now,

\dfrac{a}{3}=\dfrac{1}{2} and \dfrac{b}{4}=\dfrac{1}{2}

a=\dfrac{3}{2} and b=\dfrac{4}{2}

a=1.5 and b=2

So, a=1.5 and b=2.

Now,

\dfrac{a}{b}=\dfrac{1.5}{2}=0.75

Therefore, \dfrac{a}{b}=0.75.

5 0
3 years ago
Use special right triangles to solve for the exact value of x
Savatey [412]
Pythagorean theorem, a^2 + b^2 = c^2
5 squared is 25, 8 squared is 64, square root of 89 is 9.43 thus the hypotenuse is 9.43, correct me if I'm wrong but that is what I got
6 0
2 years ago
Read 2 more answers
What is the answer for -5x-4=?
slamgirl [31]
If you want to solve for x
-5x-4=?
add 4 to both sides
-5x=4+?
divide both sides by -5
x=(4+?)/-5
x=-(4+?)/5
3 0
2 years ago
Read 2 more answers
You have a triangle with one side length of 5 and side B
Anna [14]

Answer:

13.9283882772

Step-by-step explanation:

Pythagorean Theroem, so 5^2+13^2=194

Under square root 194=13.9283882772

Hope I helped!

6 0
3 years ago
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