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3 years ago

Which equation matches the sentence? Column A Column B

1 answer:

ioda3 years ago

5 0

I will put an equation to the corresponding number.

1) Seven more than 2 times a number is 23 => 2n + 7 = 23
2) The difference of 2 times a number and 7 is 23 => 2n - 7 = 23
3) The sum of 7 times a number and 2 is 23 => 7n + 2 = 23
4) Seven less than 2 times a number is 23 => 2n - 7 = 23

Based on the choices. The equation that matches sentences 2 & 4 is letter b. 2n - 7 = 23

Though both sentences are structured differently and used different terms, they both refer to subtraction of 7 from the product of 2 and n to get the difference of 23.

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What is the equation of this graphed line?

barxatty [35]

Answer:

$y=-\frac{1}{3}x-5$

Step-by-step explanation:

Given:

The two points on the line are:

$(x_1,y_1)=(-6,-3)\\(x_2,y_2)=(6,-7)$

Now, for a line with two points on it, the slope of the line is given as:

$m=\frac{y_2-y_1}{x_2-x_1}$

For the points $(x_1,y_1)=(-6,-3)\ and\ (x_2,y_2)=(6,-7)$ , slope is:

$m=\frac{-7-(-3)}{6-(-6)}\\m=\frac{-7+3}{6+6}\\m=\frac{-4}{12}=-\frac{1}{3}$

Now, for a line with slope 'm' and a point $(x_1,y_1)$ on it is given as:

$y-y_1=m(x-x_1)$

Plug in all the values and determine the equation of the line. This gives,

$y-(-3)=-\frac{1}{3}(x-(-6))\\\\y+3=-\frac{1}{3}(x+6)\\\\y+3=-\frac{1}{3}x-\frac{1}{3}\times 6\\\\y+3=-\frac{1}{3}x-2\\\\y=-\frac{1}{3}x-2-3\\\\y=-\frac{1}{3}x-5$

Therefore, the equation of the line is:

$y=-\frac{1}{3}x-5$

4 0

3 years ago

Which expression is equivalent to 15x – 2(3x + 6)?

lakkis [162]

Answer:

35x+12

Step-by-step explanation:

1. You combine like terms. (15x *3x=35x)

2.You Multiply other terms (2*6= 12)

3. Answer: 35x+12

5 0

3 years ago

Round 24/43 to the nearest thousandth

WARRIOR [948]

.558 is rounded to the nearest thousandth

3 0

2 years ago

Read 2 more answers

What is a proportion

jeka57 [31]

A proportion is two ratios equivalent to each other

7 0

2 years ago

The quotient of (x⁴+ 5x³ 3x - 15) and (x³ - 3) is a polynomial. What is the quotient?

lesya [120]

Answer:

x+5 (under assumption you meant to do -3x

Step-by-step explanation:

you can use long division.

Take the leading coefficient x^4 and divide it by x^3. This results in x which is going to be the first part of you quotient. Now take that x and multiply it by the divisor (x^3 - 3). This gives you x(x^3 - 3) = x^4 - 3x. Now subtract that x^4 - 3x from the original polynomial and repeat this until you can't divide anymore

$x^4+5x^3-3x-15 - (x^4-3x) = 5x^3-15\\x^3/5x^3=5\\5(x^3-3) = 5x^3-15\\5x^3-15-(5x^3-15) = 0\\\\x+5$

6 0

1 year ago