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2 years ago

2. Use factoring to determine the x-intercepts and vertex of the quadratic function

Mathematics

1 answer:

liberstina [14]2 years ago

5 0

Step-by-step explanation:

I solved for the x hope it's correct

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What expression using gcf 14xy+8yz

salantis [7]

Answer:

2y(7x + 4z)

Step-by-step explanation:

Consider the common factors of both terms

The gcf of 14 and 8 is 2

The gcf of xy and yz is y

Thus the gcf of both terms is 2y, thus

14xy + 8yz

= 2y(7x + 4z)

6 0

2 years ago

Read 2 more answers

ALL of the Students at Beach Middle School voted for a trip to the zoo or the aquarium.

QveST [7]

Answer:

160

Step-by-step explanation:

If there were only 2 options, all the people who didn't pick one chose the other one.

So if 25% of the people voted for the aquarium the remaing 75% voted for the zoo.

Since three times as many people voted for the zoo, we can see that 120/3=40, so 40 people chose the aquarium.

To find the total number of students, we add 120 and 40 to get <u>160</u>

3 0

2 years ago

Which equation is y = 9x2 + 9x – 1 rewritten in vertex form?

Anastasy [175]

Answer:

$y = 9(x +\frac{1}{2}) ^ 2 -\frac{13}{4}$

Step-by-step explanation:

An equation in the vertex form is written as

$y = a (x-h) + k$

Where the point (h, k) is the vertex of the equation.

For an equation in the form $ax ^ 2 + bx + c$ the x coordinate of the vertex is defined as

$x = -\frac{b}{2a}$

In this case we have the equation $y = 9x^2 + 9x - 1$ .

Where

$a = 9\\\\b = 9\\\\c = -1$

Then the x coordinate of the vertex is:

$x = -\frac{9}{2(9)}\\\\x = -\frac{9}{18}\\\\x = -\frac{1}{2}$

The y coordinate of the vertex is replacing the value of $x = -\frac{1}{2}$ in the function

$y = 9 (-0.5) ^ 2 + 9 (-0.5) -1\\\\y = -\frac{13}{4}$

Then the vertex is:

$(-\frac{1}{2}, -\frac{13}{4})$

Therefore The encuacion excrita in the form of vertice is:

$y = a(x +\frac{1}{2}) ^ 2 -\frac{13}{4}$

To find the coefficient a we substitute a point that belongs to the function $y = 9x^2 + 9x - 1$

The point (0, -1) belongs to the function. Thus.

$-1 = a(0 + \frac{1}{2}) ^ 2 -\frac{13}{4}$

$-1 = a(\frac{1}{4}) -\frac{13}{4}\\\\a = \frac{-1 +\frac{13}{4}}{\frac{1}{4}}\\\\a = 9$

<em>Then the written function in the form of vertice is</em>

$y = 9(x +\frac{1}{2}) ^ 2 -\frac{13}{4}$

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3 years ago

Please help me with this page.

Triss [41]

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3 0

3 years ago

Is 22 miles per hour a rate or a unit rate?

Pavlova-9 [17]

Answer: yes it is

Step-by-step explanation:

3 0

3 years ago