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Masja [62]
3 years ago
11

Find the equation of the linear function represented by the table below in slope-

Mathematics
1 answer:
mylen [45]3 years ago
7 0

Answer:

1y157

Step-by-step explanation:

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Malcolm is trying a very low-carbohydrate diet. He would like to keep the amount of carbs consumed in grams between the levels s
Ostrovityanka [42]

Answer:

The correct option is 2.

Step-by-step explanation:

The given inequalities are

50             .... (1)

2x+10            .... (2)

Solve each inequality.

Subtract 10 from each side of inequality (1).

50-10

40

Divide both the sides by 2.

20

The value of x is more than 20.

Subtract 10 from each side of inequality (2).

2x+10-10

2x

Divide both the sides by 2.

x

The value of x is less than 50.

Since x > 20 and x < 50, therefore Malcolm needs to consume more than 20 grams of carbohydrates, but less than 50 grams of carbohydrates.

Hence the correct option is 2.

4 0
3 years ago
Find the value of a/b when a = 2/3 and b= 7/9
Usimov [2.4K]

Answer:

6/7

Step-by-step explanation:

2/3X9/7

simplify 9 by 3

which equals:

2/1X3/7

=6/7

7 0
3 years ago
Write 3x^2-18x-6 in vertex form
Vedmedyk [2.9K]
The standard form of a quadratic equation is \displaystyle{ y=ax^2+bx+c, while the vertex form is:

                      y=a(x-h)^2+k, where (h, k) is the vertex of the parabola.

What we want is to write \displaystyle{ y=3x^2-18x-6 as y=a(x-h)^2+k

First, we note that all the three terms have a factor of 3, so we factorize it and write:

\displaystyle{ y=3(x^2-6x-2).


Second, we notice that x^2-6x are the terms produced by (x-3)^2=x^2-6x+9, without the 9. So we can write:

x^2-6x=(x-3)^2-9, and substituting in \displaystyle{ y=3(x^2-6x-2) we have:

\displaystyle{ y=3(x^2-6x-2)=3[(x-3)^2-9-2]=3[(x-3)^2-11].

Finally, distributing 3 over the two terms in the brackets we have:

y=3[x-3]^2-33.


Answer: y=3(x-3)^2-33
6 0
3 years ago
A line passes through the given points. Write an equation for the line in point-slope form. Then rewrite the equation in slope-i
Andre45 [30]

Answer:

The answer to your question is  a)      y - 2 = -5(x - 3)  

                                                      b)     y = -5x + 17  

Step-by-step explanation:

Data

A (1, 12)

B (3, 2)

Process

1.- Find the slope

Formula

m = \frac{y2 - y1}{x2 - x1}

Substitution

m = \frac{2 - 12}{3 - 1} = \frac{-10}{2} = - 5

2.- Find the equation in point slope form

Equation

                             y - y1 = m(x - x1)

Substitution and equation

                           y - 2 = -5(x - 3)

3.- Find the slope-intercept form

Expand the point slope form

                           y - 2 = -5x + 15

Simplify

                           y = -5x + 15 + 2

Equation

                          y = -5x + 17                                            

6 0
3 years ago
Read 2 more answers
12 points<br> Add 1.5 x 10^7 to 2.7 x 10^9.
Alina [70]

Answer

259000000

Step-by-step explanation:

6 0
3 years ago
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