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user100 [1]
2 years ago
5

To describe a specific arith-

Mathematics
1 answer:
Bezzdna [24]2 years ago
4 0

Answer:

f(x) = 7x + 30

Step-by-step explanation:

We need at least two points to write the equation of a straight line.

The recursive formula that Elijah wrote is:

f(0) = 30

f(n + 1) = f(n) + 7

When we substitute n=0, we get:

f(0 + 1) = f(0) + 7

f(1) = 30 + 7

f(1) = 37

The points (0,30) and (1,37) lies on this line.

The equation of this line is of the form:

f(x) = mx + b

where b =30 is the y-intercept and m=7 is the slope.

We plug in these values to get:

f(x) = 7x + 30

Note that the slope of the line is equal to the common difference of the Arithmetic Sequence.

You could also use the two points to find the slope:

m =  \frac{37 - 30}{1 - 0}  = 7

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(4). Simplifying polynomials, help pls:) brainliest involved
Roman55 [17]

Answer:

Explanation:

To simplify a polynomial, we have to do two things: 1) combine like terms, and 2) rearrange the terms so that they're written in descending order of exponent.

First, we combine like terms, which requires us to identify the terms that can be added or subtracted from each other. Like terms always have the same variable (with the same exponent) attached to them. For example, you can add 1 "x-squared" to 2 "x-squareds" and get 3 "x-squareds", but 1 "x-squared" plus an "x" can't be combined because they're not like terms.

Let's identify some like terms below.

f(x)=−4x+3x2−7+9x−12x2−5x4

Here you can see that -4x and 9x are like terms. When we combine (add) -4x and 9x, we get 5x. So let's write 5x instead:

f(x)=5x+3x2−7−12x2−5x4

Let's do the same thing with the x-squared terms:

f(x)=5x+3x2−7−12x2−5x4

f(x)=5x−9x2−7−5x4

Now there are no like terms left. Our last step is to organize the terms so that x is written in descending power:

f(x)=−5x4−9x2+5x−7

Step-by-step explanation:

5 0
3 years ago
4x-5=7+4y<br> How do you solve?
solong [7]
 solve for x.

4x−5=7+4y

Add 5 to both sides.

4x−5+5=4y+7+5

4x=4y+12

Divide both sides by 4.

4x/4=4y+12/4

x=y+3

-----------------------------------------------------
Have a nice day! :)

5 0
3 years ago
SHORT RESPONSE Two angles of a triangle have measures of 35° and 80°. Find the values of the exterior angle measures of the tria
Oduvanchick [21]

Answer:

Step-by-step explanation:

Before giving the exterior angles, find the third angle. A triangle (all triangles) measure 180 degrees.

35 + 80 + x = 180

115 + x = 180

x = 180 - 115

x = 65

Exterior angles are supplements of the interior angles.

So the exterior angle to 65 degrees is 180 - 65 = 115

And the exterior angle to 35 degrees is 180-35 = 145

The exterior angle to 80 degrees is 180 - 100 = 80

5 0
2 years ago
What is the measure of DOA
mixas84 [53]
Hi there!

The answer would be 120 so D.

Add all the measurements: 20 + 60 + 40 and you get 120.

Hope this helps ;)
7 0
3 years ago
20 POINTS BRAINLIEST
docker41 [41]

Answer:

D

Step-by-step explanation:

Using the rule of logarithms

log x - log y = log(\frac{x}{y})

Given

log_{7}(\frac{n}{2})

= log_{7} n - log_{7} 2 → D

8 0
3 years ago
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