HELP ME PLEASE !!!!!!!

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Explanation:

Recall that quadratic form is ax^2+bx+c.

So we need an x^2 term followed by an x term, then a constant at the end.

It may not look it, but the given equation is nearly in quadratic form.

Rewrite 9^(2x) as (9^x)^2

We get this equivalent equation (9^x)^2 - 2*(9^x) - 3 = 0

From here, let's make w = 9^x. Replace every copy of '9^x' with 'w' and we end up with this new simpler equation: w^2 - 2w - 3 = 0

From here we can use the quadratic formula or factor. I'll factor.

w^2 - 2w - 3 = 0

(w - 3)(w + 1) = 0

w-3 = 0 or w+1 = 0

w = 3 or w = -1

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Now we use these values of w to find x

If w = 3, then,

w = 9^x

3 = 9^x

log(3) = log(9^x)

log(3) = x*log(9)

x = log(3)/log(9)

x = log(3)/log(3^2)

x = log(3)/(2*log(3))

x = 1/2

At the last step, we have the log(3) terms cancel.

Repeat for w = -1

w = 9^x

-1 = 9^x

log(-1) = log(9^x)

We run into a problem. The log of any negative number is not a real number output. In other words, 9^x is never negative. Raising any positive number to a real number output leads the result to be positive. Take a look at the graph of y = 9^x to confirm this.

In short, w = -1 is extraneous so it doesn't lead to any x value solution.

So only w = 3 is useful.

Ultimately, the only solution is x = 1/2.

Answer:

10.91

Step-by-step explanation:

40.54-29.63= 10.91

BRAINLIEST ARE ALWAYS APPRECIATED :)

Answer:

10.91

Step-by-step explanation:

40.54

-  29.63

_______________

10.91

Answer:

Step-by-step explanation:

X=-x^2+x-5

Answer:

1/4

Step-by-step explanation:

5 plus 7 equals to 12

3 football games

3/12=1/4

Answer:

f(6) = g(3)

Step-by-step explanation:

Which statement is true regarding the functions on the graph?

f(6) = g(3)

f(3) = g(3)

f(3) = g(6)

f(6) = g(6)

Solution:

g(x) passes through the points (-3, 0) and the y-axis at (0, 3). The equation of g(x) is given as:

g(x) = y

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]

[tex]y-0=\frac{3-0}{0-(-3)}(x-(-3))\\\\y=x+3\\\\g(x)=y= x+3\\\\g(x)=x+3[/tex]

f(x) passes through the points (0, -3) and the y-axis at (1, 0). The equation of f(x) is given as:

f(x) = y

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]

[tex]y-(-3)=\frac{0-(-3)}{1-0}(x-0))\\\\y+3=x\\\\f(x)=y= x-3\\\\f(x)=x-3[/tex]

f(6) = x-3 = 6 - 3 = 3

g(3) = x + 3 = 3 + 3 = 3

f(6) = g(3)

Step-by-step explanation:

42.4

-

7.32

----

move the decimal

42.40

07.32

-------

35.08

Answer:

[tex]x-200+y[/tex]

Step-by-step explanation:

We can determine the algebraic expression that represents her current available credit by first finding her new balance using the formula:

Previous balance - Payments + Total Purchases = New balance

where, previous balance = $1000; payments = $800; total Purchases = y

New balance = [tex]1000-800+y[/tex]

Next, to find her Credit balance or current available; we use the formula; Credit line - New balance

where credit balance = x; new balance =  [tex]1000-800+y[/tex]

Current available credit = [tex]x-200+y[/tex]

Answer:

33.33% increase. 55.56% increase.

Step-by-step explanation:

Answer:

C. 121cm2

Step-by-step explanation:

The area of a circle is pir^2.

Let pi be rounded to 3.14 and r = 6.2cm

6.2^2*3.14 = 120.76, which rounds to 121cm2

Answer:

Step-by-step explanation:

area of a circle = π r²

                         = π (6.2)²

                         ≈ 21 cm²

Answe

22 is your answers ....

Answer:

b

Step-by-step explanation:

Answer: $11.45

Step-by-step explanation:

Arriving 15minutes late simply means 15/60 = 1/4 of the wages has been lost. We then multiply 1/4 by each person's wage. This will be:

Derek = 1/4 × $10.00

= $2.50

Sam = 1/4 × $11.80

= $2.95

Penny = 1/4 × $11.00

= $2.75

Zachary = 1/4 × $13.00

= $3.25

The amount lost will be:

= $2.50 + $2.95 + $2.75 + $3.25

= $11.45

Answer:

f(x)^-1 = 3x-3/x

Step-by-step explanation:

f(x) =-3/x-3

y= -3/x-3

x=-3/y-3

-3= (y-3)x

-3= xy-3x

-xy=-3x + 3

y= -3x +3/x

y= 3x-3/x

f(x)^-1 = 3x-3/x

Answer:

it is a

Step-by-step explanation:

Answer:

a

Step-by-step explalan

Answer:

y=-3x+6

Step-by-step explanation:

(y-y1)=m(x-x1)

m=(y2-y1)/(x2-x1)

m=(-3-6)/(3-0)

m=(-9)/(3)

m=-3

(choose whichever point for the first formula, i will be using(0,6))

(y-6)=-3(x-0)

y-6=-3x

y=-3x+6

Answer:

I agree with both.

Step-by-step explanation:

If it's $3 per dozen that would be $0.25 per muffin because

3÷ 12 = 0.25

And if Andre has $2 than he can only afford 8 muffins because

0.25 x 8 = 2

And if Elena wants 16 muffins

16 x 0.25 = 4

So she will have to pay $4.

Hope this makes sense and helps!

Answer:

12+(x-13)

Step-by-step explanation:

the difference of x and 13 is subtraction and then added to 12 is addition.

Answer:

5j-25

Step-by-step explanation:

Answer:

5j - 25

Step-by-step explanation:

Distribute #5 among j and -5

Answer:

its (-5 -5.9)

Step-by-step explanation:

i got id right on edg

Answer:she worked 17 hours

Step-by-step explanation: 10×17=170+42=212

Answer:

She worked 16.4 hours

Step-by-step explanation:

Answer:

B, C, D, F, H, J, K

Step-by-step explanation:

all those that I put are right I promise

hope this helped

Answer:

ABC = DEF

CBA = FED

B = E

C = F

A = D

AB = ED (actually, AB = DE ;w;)

AC = DF

CB = FE

Step-by-step explanation:

Answer:

x = 30 is the answer

Step-by-step explanation:

proportions

Answer: all i can say is this for an edu guess

2 6 and 4 would be 40 or 30

3 5 and 7 would be 110 or 120

8 would be 20 or 10

also this was the first answer

Answer:

0

Step-by-step explanation: Angle 1 and 3 would be equal to 110 degrees because they are vertical

Angle 2 would be 70 degrees because a straight line is 180 degrees so you do 180 - 110 to get 70 degrees for angle 2

Angle 4 would be the same as angle 2 since they are vertical so angle 4 is 70 degrees

Angle 5 is corresponding to 1 so they will have the same angle

Angle 6 is corresponding to 2 so they will have the same angle

Angle 7 is vertical to 5 so they will have the same angle

Angle 8 is vertical to 6 so they will have the same angle

Angle 1 - 110

Angle 2 - 70

Angle 3 - 110

Angle 4 - 70

Angle 5 - 110

Angle 6 - 70

Angle 7 -110

Angle 8 -70

Lol sorry this took long to type hope this helps dude ! ^-^

Answer:

169.65

Step-by-step explanation:

43.95x4= 175.80 175.80x3.5=6.15 175.80-6.15=169.65

Answer:

5765/574

Step-by-step explanation:

there u go lol

Answer:

250ml understand the concept please

The jug can hold 250 ml more liquid.

Let the jug can hold x ml liquid.

Given Rita filled 2/5 of a jug with fruit juice.

So, the amount of fruit juice is = 2/5 of x = 2x/5.

Then she added 200 ml milk.

Given the ratio of the fruit juice to milk is 3:2.

So,

[tex]\frac{2x}{5}:200=3:2\\\frac{\frac{2x}{5} }{200}=\frac{3}{2}\\2( \frac{2x}{5})=600\\\frac{4x}{5}=600\\ x=\frac{600*5}{4}\\x=750[/tex]

So the amount of fruit juice = [tex]\frac{2}{5}*750=300[/tex] ml.

Total amount of fruit juice and milk = 300+200=500 ml.

So the jug will hold = 750 - 500 =250 ml more.

Learn more: https://brainly.com/question/3796978

Answer:

$32.41

Step-by-step explanation:

Given that:

[tex]\begin{center}\begin{tabular}{ c c }Type of Meat & Cost per pound \\Beef & \$5.99 \\Chicken & \$4.79\\Pork & \$3.64\\\end{tabular}\end{center}[/tex]

Amount of pork bought by Jeff = 1.5 pounds

Amount of beef bought by Jeff = 2.5 pounds

Amount of chicken bought by Jeff = 2.5 pounds

Cost of number of pounds of each type of meat bought by Jeff can be calculated by multiplying the number of pounds by the cost of each type per pound.

Cost of pork for 1.5 pounds = 1.5 [tex]\times[/tex] 3.64 = $5.46

Cost of beef for 2.5 pounds = 2.5 [tex]\times[/tex] 5.99 = $14.975

Cost of chicken for 2.5 pounds = 2.5 [tex]\times[/tex] 4.79 = $11.975

Total cost = Cost of pork + Cost of beef + Cost of chicken = 5.46 + 14.975 + 11.975 = $32.41