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Maurinko [17]
3 years ago
15

Rewrite as a logarithmic equation. e^9=y

Mathematics
1 answer:
kolbaska11 [484]3 years ago
4 0
Log y=9.
e


Drop first and make it logs base.
Y sits beside it
And 9 becomes answer
Therefore e = certain #
And to the power (which is Y) will give you answer of 9

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1. Find the vertex of the following: y = (x - 4)(x - 10) *
horsena [70]

Answer:

1. (7,-9)

2. (4,0) and (10,0)

3. (3,0) and (-3,0)

4. (0,-9)

5. (-1,-32)

Step-by-step explanation:

To find the vertex use the formula

\frac{-b}{2a}

First make the equation into a quadratic equation.

(x-4)(x-10)\\x^{2} -10x-4x+40\\x^{2} -14x+40

Now it is in the form

ax^{2} +bx+c=0

Now we can substitute the values

\frac{-(-14)}{2(1)} \\\frac{14}{2} \\7

Now we have 7 as our x value for the vertex we can substitute for y,

x^{2} -14x+40=y\\(7)^{2} -14(7)+40=y\\49-98+4=y\\y=-9

So the vertex for 1 is (7,-9)

To find the intercepts for 2 & 3, they basically already give it to you. You just need to find a value for x for x-4 that will equal it to 0 and another for x for x-10 that will equal it to 0.

x-4=0\\x=4\\\\x-10=0\\x=10

4 is slightly different but start the same,

(x-3)(x+3)\\x^{2}+3x-3x-9\\x^{2}-9

Here, c (9) just shows the graph move down 9, so the y intercept = 9.

5 is the same process as 1,

2(x-3)(x+5)\\2(x^{2}+5x-3x-15)\\2(x^{2}+2x-15)\\2x^{2}+4x-30

Vertex,

\frac{-(4)}{2(2)} \\\frac{-4}{4} \\-1

Substitute,

2x^{2}+4x-30\\2(-1)^{2}+4(-1)-30\\2-4-30\\-32

So the vertex is (-1,-32)

8 0
3 years ago
Given a polynomial f(x), if (x + 7) is a factor, what else must be true? Help plzzz im running out of time
solong [7]
Answer: f(-7) = 0
For the factored form of f(x), if x = -7, then one of the factors will be equal to 0, since (-7 + 7) = 0. This will cause the entire y-value to be 0, because anything multiplied by 0 = 0.
4 0
3 years ago
Two times the smaller of two consecutive integers is equal to 2 more than the larger. What is the LARGER integer?
LenaWriter [7]

Answer:

The larger integer is 4.

Step-by-step explanation:

Given: Two times the smaller of two consecutive integers is equal to 2 more than the larger.

To find: The larger integer.

Solution:

Let the two consecutive integers be x and x+1,  where the smaller integer is x and larger integer is x+1.

Now, according to question.

Two times the smaller integer = 2 more than the larger integer.

\implies 2x=x+1+2

\implies 2x-x=3

\implies x=3

So, the smaller integer is 3, and the larger integer is 3+1=4.

Hence, the larger integer is 4.

8 0
3 years ago
The histogram displays how many students are in each classroom during homeroom. What percentage of classrooms have 25 students o
Lelechka [254]

Answer:

its 40% but since it's not there it could be 45%

Step-by-step explanation:

hope this helps

3 0
3 years ago
Read 2 more answers
Using 2 step equations <br> 4 ( 2y - 3 ) = 28
koban [17]

Answer:

y=5

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
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