Let f(x) = 2x and g(x)=2^x. Graph the functions on the same coordinate plane. What are the solutions to the equation f(x) = g(x)? x = □ or x = □. ( I posted a picture of the whole problem also.) Will Mark Brainliest. Need ASAP. ​

Answer:

For the rectangular area, we will have a length L, and a width W, such that the two sides with measure L and one with measure W will be made with the material of $4 per ft, and the other side with measure W will be made with the material that costs $13 per ft.

Then the total cost will be:

C = (L + L + W)*$4 + W*$13.

And we know that the area is equal to 240 ft^2, then:

240ft^2 = L*W

To solve this, the first step is to isolate one of the variables in the second equation. I will isolate L:

L = (240ft^2)/W

Now we can replace this in the first equation to get:

C =  ( 2*(240ft^2)/W + W)*$4 + W*$13.

C = $4*480ft^2/W + W*$17

Now we want to find the minimum of this function, then we need to look at the zero of the first derivative of C:

C' = - ($4*480 ft^2)/W + W*$17 = 0

- ($4*480 ft^2) + $17*W^2 = 0

Let's solve this for W:

$17*W^2 =  ($4*480 ft^2)

W^2 = ($4*480 ft^2)/$17 = 112.94ft^2

W = √(112.94 ft^2) = 10.63 ft.

Then the width must be 10.64 ft, and the length can be obtained with the equation:

L*W = 240 ft^2

L*10.64 ft = 240 ft^2

L = (240 ft^2)/10.64ft = 22.56 ft

The width is 10.64 ft, and the length is 22.56 ft

Answer:

Let x = the number of pounds of oranges in the packet.

The equation: 11.20 = 1.25x + 4.95

11.20 = 1.25x+4.95

6.25 = 1.25x

x = 5

There are 5 pounds of oranges in the packet.

Let me know if this helps!

Answer:

75% and .75

Step-by-step explanation:

Answer:

i think its a but im not sure

Answer:

A.) [tex]2x^2 + 13x - 7[/tex]

B.) [tex]3x^2 - 11x - 20[/tex]

C.) [tex]y^2 + 13y + 36[/tex]

D.) [tex]b^2 - 15b + 36[/tex]

Step-by-step explanation:

For all of these you want to multiply the first thingy (Ex. x) in the first parenthesis by the first in the second parenthesis (Ex. 2x) plus the first one in the first (Ex. x) times the second one in the second (Ex. -1) plus the second one in the first one (Ex. 7) times the first one in the second parenthesis (Ex. 2x)  plus the second one in the first parenthesis (Ex. 7) times the second one in the second (Ex. -1)

A.) (x + 7)(2x - 1) = (2x * x) + (-1 * x) + (7 * 2x) + (7 * -1) = 2x^2 -x + 14x - 7 = 2x^2 + 13x - 7

B.) (3x + 4)(x - 5) = (3x * x) + (3x * -5) + (4 * x) + (4 * -5) = 3x^2 - 15x + 4x - 20 = 3x^2 - 11x - 20

C.) (y + 9) (y + 4) = (y * y) + (4 * y) + (9 * y) + (9 * 4) = y^2 + 4y + 9y + 36 = y^2 + 13y + 36

D.) (b - 12)(b - 3) = (b * b) + (b * -3) + (-12 * b) + (-12 * -3) = b^2 - 3b - 12b + 36 = b^2 - 15b + 36

Answer:

45

Step-by-step explanation:

add 15 on both sides

Answer:

4,400

Step-by-step explanation:

Answer:

ecb and acb

Step-by-step explanation:

Answer:

The company will pay $43 project fee and $24 an hour.

Step-by-step explanation:

25 + 10h +18 + 14h

= 25+ 18 + 10h + 14h

=43 + 24h

Answer:

17.9140127389 FT²

Step-by-step explanation:

Circumference is found using the formula 2πr.

15=2πr

r=15/(2*3.14)

r=2.38853503185

Area is found using the formula πr²

A= πr²

=3.14( 2.38853503185²)

=17.9140127389

Answer:

hello your question is incomplete attached below is the complete question

answer: attached below

Step-by-step explanation:

1)  attached below

2)

a) wine bottle ( without labels ) :

Linear structure with no center of inversion its point group is c ∞ v

b) A tennis racquet ( without labels )

1 C2 axis , 2 бv planes , point group ---- C2v

c) A tennis ball with the seams

3 perpendicular c2 axis , one through the narrow portions of each segment, others through the seams

d)

Answer:

0.19 = 19/100

19/100 = 19%

Step-by-step explanation:

take 0.19 x 100 = 19

that's where u get 19% and 19 over 100 from.

Answer:

0.19 = 19/100 = 19%

Step-by-step explanation:

1. Start with 0.19 (the given)

2. Read it out loud "19 hundredths"

3. Write down 19 out of 100 because that's what you said in the last step (if it were "0.3" you would write "3/10" because you read it as "three tenths"

4. Check if you can simplify. In this case you cannont

5. If the fraction is out of 100 (which in this case it is) simply write the numerator as the percent "19" is the numerator and it IS out of 100. You would write 19%

Answer: 400

Step-by-step explanation:

Area required by each couple = 72 inch by 72 inch

= 6 feet by 6 feet   [ 1 feet = 12 inches and [tex]72\text{ inches}=\dfrac{72}{12}\text{ feet}=6 \text{ feet}[/tex]]

= 36 square feet

Area in each studio = 30 ft by 30 ft = 900 square feet

Then, Area of 8 studios in Houstan = 8 x (900 feet) = 7200feet

Total couple the dance company can accommodate in the city of Houston for all of it's locations = [tex]\dfrac{7200}{36}=200[/tex]

Total people = 2 x (Total couples)= 2 x 200=400

Hence, a reasonable estimate for the total number of people the dance company can accommodate in the city of Houston for all of it's locations = 400

Answer:

x = (3, 4)

(I'm assuming the missing sign in the picture is a negative (-))

Answer:

x={3, 4}

Step-by-step explanation:

that may answer po

Answer:

35 OR 35.1666666667

Step-by-step explanation:

Answer:

the answer rounded to the nearest hundredth is 35.17

Step-by-step explanation:

Answer:

See solutions below

Step-by-step explanation:

1) Total amount of gallons = 14 gallons

If she uses up 0.75 gallons of gas each hour then;

1 hour = 0.75gallons

after driving 6 hours, amount of gallons used will be;

6 hours = x

Divide both expressions

1/6 = 0.75/x

x = 6 * 0.75

x = 4.5gallons

Amount of gas left = 14 - 4.5 = 9.5 gallons of gas

Hence 9.5 gallons of gas will be left after 6 hrs

Similarly;

1 hour = 0.75gallons

after driving t hours, amount of gallons used will be;

t hours = x

x = 0.75t

Amount of gas left after t hours = (14 - 0.75t) gallons of gas

2) We are to find the sum of -8x^2+3 and -9x^2+3x-3

-8x^2+3 + (-9x^2+3x-3)

= 8x^2+3 -9x^2+3x-3

Collect like terms

=  8x^2 -9x^2+3x + 3-3

= -x^2 + 3x

Hence the sum is -x²+3x

3) Expressing in standard form;

(-3x-5)(-x^2+x-5)

Expand

= 3x³-3x²+15x+5x²-5x+25

Collect like terms

= 3x³-3x²+5x²+15x-5x+25

= 3x³+2x² + 10x + 25

Hence the product in polynomial form is 3x³+2x² + 10x + 25

Answer:

4.75 per T-shirt

Step-by-step explanation:

Divide 14.25 by 3

Answer:

Leena walked 5/7 miles with her friend

Step-by-step explanation:

7/7 = 1

7 +4 =11

Answer:

5/7

Step-by-step explanation:

Answer:

It is actually -1.

Step-by-step explanation:

((-3) / 5) + ((-2) / 5) her problem should be set up like this. She just plain out did -3/5+-2/5 and that is not what your supposed to do.

pls mark me brainliest

Answer:

-5/5= -1

Step-by-step explanation:

-3/5 + -2/5 = -5/5

when u have to add 2 minus values it shuld not be subtracted by each other but added instead and put the (-) sign infront of the final value as given above.

Answer:

x = 21

Step-by-step explanation:

Add all the angles to get 138 + 2x = 180. Subtract 138 to get 2x = 42. x = 21

Answer:

x = 21

Step-by-step explanation:

Can I have brainliest?

Answer:

278

Step-by-step explanation:

139x2=278

Answer:

Step-by-step explanation:

x=2

a=1.25

m=3.75

tell me if u need any steps

Answer:

FV= $2,041.29

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $1,500

Number of periods (n)= 7 years

Interest rate (i)= 4.5% = 0.045

To calculate the future value, we need to use the following formula:

FV= PV*(1+i)^n

FV= 1,500*(1.045^7)

FV= $2,041.29