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Temka [501]
3 years ago
13

5) Solve 9x = 7x + 12

Mathematics
2 answers:
Nikolay [14]3 years ago
6 0

Answer:

X=6

Step-by-step explanation:

Move the variable to get 9x-7x=12

collect like terms to get 2x=12

divide to get 6

dusya [7]3 years ago
4 0

Fist, write the equation as you see it:

7x + 12 = 9x

Next you have to put all the x’s on one side, whenever you move a number from one side to another it changes its sign (if it’s + it becomes - and if it’s - it becomes +)

7x - 9x = -12

Next add the x’s together:

-2x = -12

Then you must divide the two negive number which leave you with:

x = 6

The answer is x = 6.

Hope this helps!:)

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Express <br> X^2 + 4X - 3 <br> in the form <br> (X+P)^2 + q
alukav5142 [94]

Answer:

Answer is (x + 2)² - 7

Step-by-step explanation:

• We gonna achieve this through completing squares:

{ \tt{ {x}^{2}  + 4x - 3}}

• Find the square of the half of the sum.

  • sum is 4

{ \boxed{ \rm{square \: of \: sums \: half =  {( \frac{4}{2} )}^{2}  =  {2}^{2} = 4 }}}

• Add 4 to the sum and subtract it from the product.

  • product is -3

\hookrightarrow \: { \rm{ ({x}^{2}  + 4x + 4) + ( - 3 - 4)}} \\ { \rm{(x + 2) {}^{2}  - 7}}

• Answer is proven

{ \boxed{ \mathfrak{answer \dashrightarrow \: { \rm{ {(x + 2)}^{2} - 7 }}}}}

  • P is 2
  • q is -7
7 0
2 years ago
Find the equation of the line that passes through (5, -1) and<br> (-10, -10)
SashulF [63]

Answer:

y = 0.6x – 4  

or

y =   3/5x -4

Step-by-step explanation:

3 0
3 years ago
An automotive insurance company has 25,000 policyholders. The accident rate is 0.07.
DiKsa [7]

An automotive insurance company has 25,000 policyholders. The accident rate is 0.07. The number of accidents the company will have to pay out for is (1)____.

25,000*.07

1750

Answer: C. 1750

 

If the payout for each claim (after deductibles) is $8,000, the company’s total payouts will amount to $ (2)_____.

8000*1750

Answer: 14,000,000

Not included in the choices

 

If the company wants to keep a profit margin of 8%, the premium it must charge is $(3)_____.

Answer: D. 604.8 

Let X=premium

25,000(X)-14,000,000=net profit

(25,000X-14,000,000)/25,000X=.08

X=608.7

Nearest answer is D. 604.8 

The company can set aside a maximum amount of $(4)_____ for this year’s investments.

<span>Answer: D. 1,120,000
25,000*604.8-14,000,000</span>

15120000-14,000,000

1,120,000<span>

</span>

3 0
4 years ago
Given the function h(x) = 4^x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.
Gennadij [26K]
Ooh, fun

the average rate of change is the slope

easy, so for section A, it would be the slope from (0,h(0)) to (1,h(1)) or from (0,1) to (1,4)
slope=(y2-y1)/(x2-x1)=(4-1)/(1-0)=3/1=3


section B, would be slope from (2,h(2)) to (3,h(3)) or from
(2,16) to (3,64)
slope=(y2-y1)/(x2-x1)=(64-16)/(3-2)=48/1=48


1. section A has an average rate of change of 3
section B has an average rate of change of 48



2. 48 is how many times greater than 3
48/3=16
16 times greater

it is because it is an exponential function and the slope grows bigger
4 0
4 years ago
Read 2 more answers
How many sloths were spotted altogether?
erastovalidia [21]

Their frequencies are 1, 3, 2, 10, 2, and 1.

Add them together and you have 19 sloth sightings.

8 0
3 years ago
Read 2 more answers
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