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Licemer1 [7]
3 years ago
14

Will give BRAINLIEST if right!

Mathematics
1 answer:
sattari [20]3 years ago
8 0

Answer:

Vertex is (-1, -9)

Step-by-step explanation:

To find the x-value of the vertex, we use the formula

x

=

−

b

2

a

(This is considered the axis of symmetry).

a

=

1

and

b

=

2

with

c

=

−

8

(These are the numbers in order)

By substituting we get

x

=

−

(

2

)

2

⋅

1

, which simplifies to

x

=

−

1

.

Once you find x, substitute back into the equation to find y.

y

=

(

−

1

)

2

+

2

(

−

1

)

−

8

y

=

1

−

2

−

8

y

=

−

9

Putting the two numbers together you get the coordinates

(

−

1

,

−

9

)

.

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Setler [38]
£1.00= 100 cents, 100- 64 = 36.

36
6 0
3 years ago
Read 2 more answers
Solve with elimination.
wlad13 [49]

Answer:y=6.61,x=-6.46

Step-by-step explanation:

3x+7y=-26(×5)

         -

5x+3y=-14(×3)

=15x+35y=-130

           -

 15x+9y=-42

subtracting the 2 equations =15x-15x+35y-9y=-130-(-42)

=26y=172

y=172÷26

y=6.61

substitute y in the first equation=3x+6.61=-26

3x=-26+6.61=-19.39

x=-19.39÷3

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7 0
3 years ago
What are the potential solutions of log4x+log4(x+6)=2?
lions [1.4K]

The potential solutions of log_4x+log_4(x+6)=2 are 2 and -8.

<h3>Properties of Logarithms</h3>

From the properties of logarithms, you can rewrite logarithmic expressions.

The main properties are:

  • Product Rule for Logarithms - log_{b}(a*c)=log_{b}a+log_{b}c
  • Quotient Rule for Logarithms - log_{b}(\frac{a}{c} )=log_{b}a-log_{b}c
  • Power Rule for Logarithms - log_{b}(a^c)=c*log_{b}a

The exercise asks the potential solutions for  log_4x+log_4(x+6)=2. In this expression you can apply the Product Rule for Logarithms.

                                  log_4x+log_4(x+6)=2\\ \\ x*(x+6)=4^2\\ \\ x^2+6x=16\\ \\ x^2+6x-16=0

Now you should solve the quadratic equation.

 

 Δ=b^2-4ac=36-4*1*(-16)=36+64=100. Thus, x will be x_{1,\:2}=\frac{-6\pm \:\sqrt{100} }{2\cdot \:1}=\frac{-6\pm \:10}{2}. Then:

x_1=\frac{-6+10}{2}=\frac{4}{2} =2\\ \\ \:x_2=\frac{-6-10}{2}=\frac{-16}{2} =-8

The potential solutions  are 2 and -8.

Read more about the properties of logarithms here:

brainly.com/question/14868849

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How many fluid ounces are in a bottle of soda that has 337 ml of fluid
VLD [36.1K]
11.3953 fluid ounces in 337 milliliters.

One milliliter is equal to 0.0388 fluid ounces.
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What does (x^3)-1 equal
s2008m [1.1K]
-x^3 I think is the answer
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