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Soloha48 [4]
3 years ago
8

F(x)+x^2+3x+2 is shifted 2 units left. the result is g(x). what is g(x)?

Mathematics
2 answers:
uysha [10]3 years ago
8 0
Adding 2 to all the x's shifts the function left.

g(x) = (x+2)² + 3(x+2) + 2

simplify it a bit ...

g(x) = (x+2)² + 3x + 6 + 2

g(x) = (x+2)² + 3x + 8

g(x) = x² + 4x + 4 + 3x + 8

g(x) = x² + 7x +12
8_murik_8 [283]3 years ago
8 0

Answer:

g(x) = x² + 7x + 12

Step-by-step explanation:

f(x) = x² + 3x + 2 is shifted 2 units left.

We have to find new function formed g(x)

Shifting of 2 units left means

g(x) = [x-(-2)]² + 3[x-(-2)] +2

      = (x+2)² + 3 (x+2) + 2

      = x² + 4x + 4 + 3x + 6 + 2

      = (x² + 7x + 12)

Therefore, the new function will be g(x) = x² + 7x + 12

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the side length of the state flag of Colorado are in the ratio of 2:3 if the flag is 12 ft long what is the height?​
yanalaym [24]

Answer:

The height is 8

Step-by-step explanation:

Ratios are just fractions. That being said, you also have part of a fraction. You know that the colorado flag is in 2:3, and 12 feet long is according to that ratio; it equals each other.

Make the equation.

\frac{2}{3}  = \frac{x}{12}

Now isolate x (in order to solve for it)

12 * \frac{2}{3}  = \frac{x}{12}*12\\8 = x

x= 8

The height is 8.

8/12 = 2/3 ✅

6 0
3 years ago
Length of a rectangle is 4 inches less than twice it’s width of the perimeter is 70 inches what’s the dimensions?
Vedmedyk [2.9K]
W= width
L= length= 2W-4
Perimeter= 70

FIND WIDTH:
P= 2(L + W)
P= 2L + 2W
substitute 2W-4 for L
70= 2(2W-4) + 2W
multiply 2 by all in parentheses
70= (2*2W) + (2*-4) + 2W
70= 4W - 8 + 2W
combine like terms
70= 6W - 8
add 8 to both sides
78= 6W
divide both sides by 6
13= W

FIND LENGTH:
substitute w=13 to find width
L= 2W-4
L= 2(13)-4
L= 26-4
L= 22

CHECK:
P= 2(L + W)
70= 2(22 + 13)
70= (2*22) + 2(13)
70= 44 + 26
70= 70

ANSWER:
length= 22 inches
width= 13 inches

Hope this helps! :)
3 0
3 years ago
Sallie Woo worked these hours last week: Monday, 10; Tuesday, 8 1/4; Wednesday, 9 1/2; Thursday, 6; Friday, 8; Saturday, 5. Sall
almond37 [142]

Answer:

Her pay for the week= $ 611.325

Step-by-step explanation:

Sallie is paid $ 11.40 per hour for regular hours.

The total regular hours worked during the week are

Monday + Tuesday + Wednesday + Thursday+ friday = 8 + 8+ 8+6+8= 38 hours

She works overtime during the week

Monday + Tuesday + Wednesday = 2+ 1/4+  1 1/2=  2+ 1/4 + 3/2

= 8 +1+ 6/4=15/4 = 3 3/4 hours

Over the weekend she works five hours .

So the total pay would be

$ 11.40( 38 ) + $ 11.40( 1.5) (  15/4) + $ 11.40 ( 2) ( 5)

= 433.2 + 64.125 + 114.0

= $ 611.325

3 0
3 years ago
Gorillas are called king of the jungle for a reason they are good fighters and protect their family so their family will not get
MAXImum [283]

Answer:

Thank you kind sir

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Which of the following lists is in order from smallest to largest?
IRINA_888 [86]

1/2 , 5/8, 7/11, 2/3

7 0
3 years ago
Read 2 more answers
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