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valkas [14]
3 years ago
11

Find the greatest commons factor of the numbers 40x 16x^2 and 12x^5

Mathematics
1 answer:
nydimaria [60]3 years ago
4 0
40*16x^{2} and 12x^{5}
4x^{2} is the greatest common factor.
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Find a1 and d for an arithmetic sequence with these terms. a3=-8 and a7=32
Arte-miy333 [17]
We know that
the formula for the <span>arithmetic sequence is
</span><span>an = a1 + (n - 1)*d
where
a1  is the first term
n is the numbers of terms

for n=3   a3=-8
-8=a1+(3-1)*d-----> -8=a1+2*d-----> equation 1

for n=7   a7=32
-32=a1+(7-1)*d----> -32=a1+6*d----> equation 2

multiply equation 2 by -1-----> 32=-a1-6*d------> equation 3

add equation 1 and equation 3
</span>-8=a1+2*d
32=-a1-6*d
----------------
24=-4*d------> d=-6
-8=a1+2*(-6)    (substitute the value of d in equation 1)
-8=a1-12-----> a1=-8+12-----> a1=4

the answer is
a1=4
d=-6

<span>

</span>
4 0
3 years ago
Can someone help me on this problem? I will make some brainlist! is only the answer is right!
steposvetlana [31]

Answer: its b

Step-by-step explanation:

4 0
3 years ago
Dan Stocked up on batteries. He Brought 10 packages of AA and AAA batteries for a total of 72 batteries. The AA batteries are so
LuckyWell [14K]

Answer:

The system of equations that make the definition are;

x + y = 10 •••••••••(i)

6x + 8y = 72 ••••••••(ii)

Where x refer to the number of packages of AA battery bought and y refers to the number of packages of AAA batteries bought

Step-by-step explanation:

Here, we are to write system of equations that can be solved which will help give the number of packages of each type of battery bought.

Let the number of AA batteries bought be x while the number of AAA batteries bought be y;

Since he bought a total of 10 packages,

What this means is that;

x + y = 10 •••••••••(i)

We are also told that the AA batteries are sold in packages of 6, so the total number of AA batteries bought is; 6 * x = 6x

Also, we know that the AAA batteries are sold in packages of 8, so the total number of AAA batteries bought is 8 * y = 8y

We add both to give the total number of packages.

Mathematically, that would be;

6x + 8y = 72 •••••••••(ii)

By solving both equation set, we shall have the number of each types of batteries bought

5 0
3 years ago
The sum of 38 and twice a number is 124. Find the number
rjkz [21]
You can write this as 38+2x=124 and solve for x. You then get that x=43
7 0
3 years ago
The table of values represents a linear function g(x), where x is the number of days that have passed and g(x) is the balance in
adoni [48]

Answer:

A. 15

B. Point-slope: y - 325 = 15(x-0)

Slope-intercept: y = 15x + 325

Standard: y - 15x = 325

C. g(x) = 15x + 325

D. 505

Step-by-step explanation:

Part A. m = (y2-y1)/(x2-x1)

m = (400-325)/(5-0)

m = (75)/(5)

m = 15

Part B

Point-slope: y - 325 = 15(x-0)

Slope-intercept: y = 15x + 325

Standard: y - 15x = 325

Part C: g(x) = 15x + 325

Part D:

g(x) = 15(12) + 325

g(x) = 180 + 325

g(x) = 505

7 0
2 years ago
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