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k0ka [10]
3 years ago
12

Nslate the sentence into an equation. The sum of 6 times a number and 2 is 9.

Mathematics
1 answer:
anzhelika [568]3 years ago
5 0

Answer:

6x+2=9

Step-by-step explanation:

Let the unknown number be x

Six times of the unknown means 6x

Addition of 2 to the 6x gives 9

It can be written

6x+2=9

It can be solved further as

6x+2=9

Substrate 2 from both sides

6x=7

Divide both sides by 6

x=7/6

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OleMash [197]
58.8 miles per hour
6 0
3 years ago
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Give the properties for the equation -2x 2 - y + 10x - 7 = 0.
Sladkaya [172]

Given:

The quadratic equation is

-2x^2-y+10x-7=0

To find:

The vertex of the given quadratic equation.

Solution:

If a quadratic function is f(x)=ax^2+bx+c, then

Vertex=\left(\dfrac{-b}{2a},f(\dfrac{-b}{2a})\right)

We have,

-2x^2-y+10x-7=0

It can be written as

-2x^2+10x-7=y

y=-2x^2+10x-7           ...(i)

Here, a=-2,b=10,c=-7.

\dfrac{-b}{2a}=\dfrac{-10}{2(-2)}

\dfrac{-b}{2a}=\dfrac{-10}{-4}

\dfrac{-b}{2a}=\dfrac{5}{2}

Putting x=\dfrac{5}{2} in (i), we get

y=-2(\dfrac{5}{2})^2+10(\dfrac{5}{2})-7

y=-2(\dfrac{25}{4})+\dfrac{50}{2}-7

y=\dfrac{-50}{4}+25-7

y=\dfrac{-25}{2}+18

On further simplification, we get

y=\dfrac{-25+36}{2}

y=\dfrac{11}{2}

So, the vertex of the given quadratic equation is \left(\dfrac{5}{2},\dfrac{11}{2}\right).

Therefore, the correct option is A.

3 0
3 years ago
Suppose f is a function with exponential growth and f(0)=1. Explain why f can be represented by a formula of the form
galben [10]

We are supposed to explain why the given function can be expressed in form f(x)=b^{x}, when f(0)=1.

Since the given function is an exponential function we can express it as  f(x)=a(b)^{x}.

Now let us substitute x=0 in the given function,  

f(x)=b^{x}

f(0)=b^{0}  

f(0)=1  

Let us substitute x=0 in our function.    

f(0) = a(b)^{0}    

f(0) = a\cdot 1                    

f(0)=a  

Upon substituting a=1 in our function we will get,

f(x) = 1(b)^{x}

f(x) =(b)^{x}

Therefore, our function f can be represented by the formula of the form f(x)=b^{x}.

7 0
3 years ago
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What is the value of 9905482
Vladimir79 [104]
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3 0
3 years ago
Write this ratio as a fraction in simplest form without any units. 21 feet to 10 yards
Delvig [45]

Answer: 2 1/10

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7 0
3 years ago
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