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Anon25 [30]
3 years ago
12

How many terms are in this expression 5b+26t-72

Mathematics
1 answer:
ss7ja [257]3 years ago
4 0

Answer:

3 terms

Step-by-step explanation:

5b+26t-72

Since none of the terms are like terms, we cannot combine them

There are 3 separate terms, 5b, 26t, 72

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What is the nth term rule of the quadratic sequence below?<br> 8,14,22,32 ,44, 58, 74...
DanielleElmas [232]

Answer:

y=n^2+3n+4

Step-by-step explanation:

Sequence,S: 8,14,22,32 ,44, 58, 74...

First differences of S: 6,8,10,12,14,16,...

Second differences of S: 2,2,2,2,2,2,....

It is indeed a quadratic since the 1st differences that are the same are the second differences.

So the 1st term is 8. If the 0th term was listes it would be 4 since 8-4=4 and 6-4=2.

This means our quadratic it is in the form

y=an^2+bn+c where c=4.

So we have y=an^2+bn+4.

Now we can find a and b using two points from our sequence to form a system of equations to solve.

(1,8) gives us 8=a(1)^2+b(1)+4

Simplifying gives 8=a+b+4

Subtracting 4 on both sides gives: 4=a+b

(2,14) gives us 14=a(2)^2+b(2)+4

Simplifying gives 14=4a+2b+4

Subtracting 4 on both sides gives 10=4a+2b

So we have the following system to solve:

4=a+b

10=4a+2b

I'm going to solve using elimination/linear combination style.

Dividing second equation by 2 gives the system as:

4=a+b

5=2a+b

Subtract the 2nd equation from the first gives:

-1=-1a

This implies a=1 since -1=-1(1) is true.

If a+b=4 and a=1, then b=3. Because 3+1=4.

So the equation is y=1n^2+3n+4 or y=n^2+3n+4.

8 0
2 years ago
Linda has two cats. The difference in weight of her Maine Coon and Siderian is at least 6 pounds. Linda's Siberian has a height
Simora [160]

Answer:

c

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Point A(7,3) is translated to A' (16.-9). Which rule describes the translation? IO (X)(-9.7-12) O (x,y)-&gt; (x-9.y+12) 0 (x,y)
Ray Of Light [21]

Answer:

(x+9,y-12)

Step-by-step explanation:

sorry if this didnt help

3 0
3 years ago
Given that LM and LN are tangent to the circle and that the measure of angle MLN = 75.86, find the measure of arc MN.
siniylev [52]

we know that

The measure of the external angle is the semidifference of the arcs that it covers

so

∠MLN=(1/2)*(mayor arc MN-minor arc MN)

Let

x------> minor arc MN

major arc MN=360-x

substitute in the formula above

∠MLN=(1/2)*(mayor arc MN-minor arc MN)

75.86=(1/2)*(360-x-x)------> 151.72=(360-2x)------>360-151.72=2x

x=104.14°

therefore

the answer is

the measure of arc MN (minor arc) is 104.14°

7 0
3 years ago
Write which numbers,if any,are solutions of the inequality. <br><br> N+9&lt;15 N=? 3,5,6,7,9
mash [69]
The answer is
n=6
n<15-9
n<6
8 0
2 years ago
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