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3 years ago

Find three consecutive integers that have a sum of -39.

Mathematics

1 answer:

Natasha_Volkova [10]3 years ago

7 0

Answer: -14, -13, and -12

Step-by-step explanation: When thinking about consecutive numbers we think about numbers that are right next to each other. We also know that the word "sum"means adding by our signal words.

Since the sum of our three consecutive integers is -39, we can set up an equation to represent this.

X + X + 1 + X + 2 = -39

3x + 3 = -39

-3 -3

3x = -42

÷3 ÷3

X = -14

X ⇒ -14

X + 1 ⇒ -13

X + 2 ⇒ -12

Therefore, our three concussive integers are -14, -13, and -12.

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A line passes through the points (7, 10) and (3, 2). What is its equation in slope- intercept form?

lapo4ka [179]

In order to get an equation is slope intercept form, we need to find the slope.

The formula is:
y2 - y1
———-
x2 - x1

In this case:
10 - 2
———
7 - 3
=
8/4
2

Now that we know the slope, we can plug it into y = mx + b with x and y being x1 and y1.

y = 2x + b
10 = 2(7) + b
10 = 14 + b
-4 = b

Now, we can construct our equation.

y = 2x - 4

Hope this helped!

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4 years ago

Factor completely x2 − 36

Hoochie [10]

X² - 36 = x² - 6² = (x-6)(x+6)

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3 years ago

Which is the graph of f (x) = 4 (1/2) Superscript x?

miss Akunina [59]

Answer:

Option (2) is correct graph.

Step-by-step explanation:

Given:

The function to graph is given as:

$f(x)=4(\frac{1}{2})^x$

Now, the above function is an exponential function of the form $f(x)=ka^x$

Where, 'k' and 'a' are constants.

The range of an exponential function is always greater than 0.

The domain is all real numbers.

Now, for graphing it, we need to find some points on it and its end behaviour.

Now, for x = 0, the function value is given as:

$f(0)=4(\frac{1}{2})^0=4$

So, (0, 4) is a point on the graph.

Now, for x = 1, the function value is given as:

$f(1)=4(\frac{1}{2})^1=4\times\frac{1}{2}=2$

So, (1, 2) is another point on the graph.

Now, for x = 2, the function value is given as:

$f(2)=4(\frac{1}{2})^2=4\times\frac{1}{4}=1$

So, (2, 1) is another point on the graph.

Now, as 'x' tends to ∞, the function value tends to:

$f(x\to\infty)=4\cdot\frac{1}{2}^{\infty}=\frac{4}{\infty}=0$

So, as

$x\to\infty,f(x)\to0\\\\x\to-\infty,f(x)\to\infty$

Now, from among all the options, only option (2) fulfills all the conditions given above.

So, option (2) is correct graph.

5 0

4 years ago

Please help me not understanding

serg [7]

ASK YOUR TEACHER! They are there to help you!!! To find the greatest common multiple you have to find the biggest number that goes into both numbers given, so the first answer would be 4, and the second would be 11.

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4 years ago

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vladimir2022 [97]

I’m just trying to earn points but I’m not sure sorry!

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3 years ago

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