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olga_2 [115]
3 years ago
10

If 3 + 0.7 is equal to 0.7 plus a number, what do you know about the number?

Mathematics
1 answer:
Delicious77 [7]3 years ago
5 0

Answer:

I'm not sure of the answer choices but your answer would be 3.

Step-by-step explanation:

We know that 3 + 0.7 = 3.7, you can take this information and reverse it. 3.7 - 0.7 = 3.

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6. Choose the step to take to solve this equation for x.
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add 7 to the right!

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Micheal took his brother to the movies. Micheal paid regular price, but it cost $2 less for his brother at the child price. It c
iren [92.7K]

It cost $5 for his brother's ticket.

Step-by-step explanation:

Let,

Micheal's ticket price= x

His brother ticket price = y

According to given statement;

x+y=12    Eqn 1

y = x-2    Eqn 2

Putting value of y from Eqn 2 in Eqn 1

x+(x-2)=12\\x+x-2=12\\2x=12+2\\2x=14\\

Dividing both sides by 2;

\frac{2x}{2}=\frac{14}{2}\\x=7

Putting x=7 in Eqn 2

y=7-2\\y=5

It cost $5 for his brother's ticket.

Keywords: linear equation, substitution method

Learn more about linear equations at:

  • brainly.com/question/2747595
  • brainly.com/question/2750627

#LearnwithBrainly

8 0
3 years ago
Find the equation, (f(x) = a(x - h)2 + k), for a parabola containing point (2, -1) and having (4, -3) as a vertex. What is the s
Nataliya [291]

Answer:

f(x)=\frac{1}{2}x^2-4x+5

Step-by-step explanation:

A parabola is written in the form

f(x)=a((x-h)^2+k) (1)

where:

h is the x-coordinate of the vertex of the parabola

ak is the y-coordinate of the vertex of the parabola

a is a scale factor

For the parabola in the problem, we know that the vertex has  coordinates (4,-3), so we have:

h=4 (2)

ak=-3

From this last equation, we get that a=\frac{-3}{k} (3)

Substituting (2) and (3) into (1) we get the new expression:

f(x)=-\frac{3}{k}((x-4)^2+k) = -\frac{3}{k}(x-4)^2 -3 (4)

We also know that the parabola  contains the point (2,-1), so we can substitute

x = 2

f(x) = -1

Into eq.(4) and find the value of k:

-1=-\frac{3}{k}(2-4)^2-3\\-1=-\frac{3}{k}\cdot 4 -3\\2=-\frac{12}{k}\\k=-\frac{12}{2}=-6

So we also get:

a=-\frac{3}{k}=-\frac{3}{-6}=\frac{1}{2}

So the equation of the parabola is:

f(x)=\frac{1}{2}((x-4)^2 -6) (5)

Now we want to rewrite it in the standard form, i.e. in the form

f(x)=ax^2+bx+c

To do that, we simply rewrite (5) expliciting the various terms, we find:

f(x)=\frac{1}{2}((x^2-8x+16)-6)=\frac{1}{2}(x^2-8x+10)=\frac{1}{2}x^2-4x+5

6 0
3 years ago
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