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Pie
2 years ago
8

Find the value of the following expression using a number line. 3+(−2)

Mathematics
2 answers:
m_a_m_a [10]2 years ago
7 0

Answer: 3 + (-2) = 1

Step-by-step explanation:

If you were to evaluate this using a number line you would start at positive 3. Since the two is negative you would move to the left two spaces, leaving you at positive 1. That is your answer.

daser333 [38]2 years ago
3 0
The answer to this problem would be 1
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18x-10-6x=50<br> This is another question on my quiz I really need help
prohojiy [21]
The answer is got is X=5 :)
7 0
2 years ago
If f(x) is a linear function, f(−2)=4, and f(1)=−1, find an equation for f(x)
juin [17]

Answer:

y = -\frac{5}{3}x+\frac{2}{3}

Step-by-step explanation:

Given

f(-2) = 4

f(1) = -1

Required

The equation of the function

The given parameters means that:

(x_1,y_1) = (-2,4)

(x_2,y_2) = (1,-1)

Calculate the slope (m)

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

m = \frac{-1-4}{1--2}

m = \frac{-5}{3}

The equation is then calculated using:

y = m(x - x_1) + y_1

This gives:

y =\frac{-5}{3}(x--2)+4

y =\frac{-5}{3}(x+2)+4

Open bracket

y = -\frac{5}{3}x-\frac{10}{3}+4

Take LCM

y = -\frac{5}{3}x+\frac{-10+12}{3}

y = -\frac{5}{3}x+\frac{2}{3}

6 0
3 years ago
Find the ratio a:b, if 2a−b/6 = b/3
Tom [10]

Answer:

a:b = 2

Step-by-step explanation:

Here we need to operate with terms in order to arrive to a ratio a:b (or a/b).

We have:

2a−b/6 = b/3

Lets sum b/6 in both sides:

2a−b/6 + b/6 = b/3 + b/6

2a = b/3 + b/6

Now, we can multiply and divide b/3 by 2 to make a 6 appear on the denominator and sum it with b/6, this is, use common denominator:

2a = b/3*(2/2) + b/6

2a = 2b/6 + b/6

2a = 3b/6

2a = b/2, as 3/6 = 1/2

Now lets divide both sides by b to make an a/b appear:

2a/b = (b/2)/b

2a/b = 1/2

Finally, multiply both sides by (1/2) or divide by 2:

(2a/b)/2 = 2

a/b = 2

This is, a is twice as b. If b is 1 so a is 2; if b is 45 so a is 90, and so on.

7 0
3 years ago
PLEASE HELP The volume of a cube is defined by the function, V(x), where the volume is measured in cubic meters. Find a polynomi
olya-2409 [2.1K]

we have

V(x)=x^3-12x^2+48x-64

we know that

The volume of a cube is equal to

V=b^{3}

where

b is the length side of a cube

Using a graph tool------> find the roots of the polynomial

see the attached figure

x=4

so

x^3-12x^2+48x-64=(x-4)^{3}

therefore

<u>The answer is</u>

the length side of a cube is equal to (x-4)

5 0
3 years ago
What are the intercepts of the line 3x – 15y = 60?   A. x-intercept: –4; y-intercept: 20   B. x-intercept: –3; y-intercept: 15  
AnnZ [28]
X intercept is when y = 0
3x -15(0) = 60
3x = 60
x = 20

y intercept is when x=0
3(0) -15y = 60
-15y = 60
y = -4

Answer is C
8 0
2 years ago
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