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IrinaK [193]
3 years ago
13

Translate the sentence into an equation.

Mathematics
1 answer:
Andreas93 [3]3 years ago
3 0

Question:

Twice the difference of a number and 5 is equal to 9 .

Answer:

2x - 5 = 9

Step-by-step explanation:

Required

Translate

Let the number be x

Twice the number, x is 2x

The difference between (above) and 5 is 2x - 5

This equals to 9.

So, the expression becomes

2x - 5 = 9

Solving further:

2x = 5 + 9

2x = 14

Divide through by 2

x = 7

<em>Hence, the number is 7</em>

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Which is a quadratic function having a leading coefficient of 3 and a constant term of –12? f(x) = –12x2 3x 1 f(x) = 3x2 11x – 1
eimsori [14]

The correct option is b.

<h2>Quadratic Equation</h2>

A quadratic equation is an equation that can be written in the form of

ax²+bx+c.

Where a is the leading coefficient, and

c is the constant.

<h2>Leading coefficient </h2>

The leading coefficient of an equation is a coefficient of the term having the highest power in the equation.

Given options:

a.)  f(x) = -12x^2+3x+1 \\

b.)  f(x) = 3x^2+11x-12 \\

c.)  f(x) = 12x^2+3x+3\\

d.)  f(x) = 3x -12.

<h3 /><h3>Solution</h3>

As it is given that the leading coefficient of the equation is 3. therefore, the value of the 'a' in the general quadratic equation is 3,

3x²+bx+c,

Also, the value of the constant is -12, therefore, the value of c is -12,

3x²+bx-12

From all the given options the only feasible option is b only.

Hence, the correct option is b.

Learn more about Quadratic Equation:

brainly.com/question/2263981

8 0
2 years ago
What’s the <br> hundreds in a<br> the number<br> 44,813?
Aliun [14]
8 because it goes from 1s 10s 100s so 8 is the answer
5 0
2 years ago
Harsh is part of a school cricket team, and this year he has scored and average of 46 runs. He has played 5 innings so far and h
Nataly [62]

Answer: 45

Step-by-step explanation:

Harsh is part of a school cricket team, and he has scored an average of 46 runs in 5 innings. His scores in 4 of them are 46,45, 39, and 55. His fifth score is calculated as follows:

Since he made 5 innings and has an average of 46, the total scores will be:

= 46 × 5

= 230

Total of his first 4 scores will be:

= 46 + 45 + 39 + 55

= 185

5th score = 230 - 185

= 45

7 0
2 years ago
Read 2 more answers
4n-6 in as a undistributed expression
lord [1]

Answer:

2( 2n-3)

Step-by-step explanation:

4n-6

2*2 n - 2*3

Factor out the greatest common factor

2( 2n-3)

3 0
3 years ago
How do you solve this problem?
Yuri [45]
-m-4=-13
-m=-13+4=-9
m=9
☺☺☺☺
8 0
3 years ago
Read 2 more answers
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