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iris [78.8K]
2 years ago
8

3^x-3^(x-2)=A*3^x solve for A

Mathematics
1 answer:
ale4655 [162]2 years ago
3 0

Answer:

a=\frac{8}{9}

Step-by-step explanation:

3^x-3x^{x-2} =a3^x

Divide both sides by 3^x:

3^{x-x}-3^{x-x-2}=a

Simplify:

3^0-3^{-2}=a\\a=1-\frac{1}{9} \\a=\frac{8}{9}

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Clare has 5 yards of ribbon. It takes 1/2 yard to make a bow. How many bows can Clare make with the ribbon? Write a multiplicati
KonstantinChe [14]

Answer:

10 yards (Add label!!)

Step-by-step explanation:

5x1/2=10

8 0
2 years ago
A submarine was 20 feet below sea level. If it ascends (goes up) 30 feet,
pshichka [43]

Answer:

10 ft above sea level

Step-by-step explanation:

20 below goes up by 30 then it would be -20 -10 0 10

6 0
2 years ago
Write the equation of a circle given the center (-4, 4) and raduis r = 5.
Len [333]

Answer:

A) (x+4)^2+(y-4)^2=25

Step-by-step explanation:

The equation of a circle is (x-h)^2+(y-k)^2=r^2 where (h,k) is the center and r is the radius. If (h,k)\rightarrow(-4,4) and r=5, then:

(x-h)^2+(y-k)^2=r^2\\\\(x-(-4))^2+(y-4)^2=5^2\\\\(x+4)^2+(y-4)^2=25

Therefore, the equation of the circle is (x+4)^2+(y-4)^2=25

6 0
2 years ago
∠EFG and ∠LMN are supplementary angles, m∠EFG=(3x+17)º, and m∠LMN=(12x−5)º.
Ira Lisetskai [31]

Answer:

EFG = 50.6, LMN = 129.4

Step-by-step explanation:

ok so s supplementary angles mean, their angles will always add upto 180. for example if one angle is 100° then the other will be 80°.

to find the angles first we need to solve for x.

we know EFG + LMN = 180 because its supplementary.

that's is (3x+17) + (12x-5) = 180.

we now solve for x;

15x+12 = 180

15x = 168, x= 168/15 = 11.2

now that we know x we can put this value in the corresponding equation of EFG and LMN to find the angles.

EFG = 3x11.2 + 17 = 50.6

LMN = 12x11.2 - 5 = 129.4

7 0
2 years ago
Evaluate the expression.
Katarina [22]

Answer:

11

Step-by-step explanation:

The lines on the outside simply means "absolute value". This just takes any negative number and makes it positive. In this case, 15-4 is already positive so the answer is just positive 11.

4 0
2 years ago
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