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3 years ago

Please help with the second question thank you

Mathematics

2 answers:

boyakko [2]3 years ago

5 0

Answer:

The correct answer is C.

Step-by-step explanation:

In order to solve this problem, you need to simplify the equation by using a natural log (ln). This will cancel out the e and make it easy to solve.

e^(2x + 5) = 4 ----> Take the ln

lne^(2x + 5) = ln(4) ------> Simplify

2x + 5 = ln(4) ------> Subtract 5

2x = ln(4) - 5 -----> Divide by 2

x = [ln(4) - 5]/2

LiRa [457]3 years ago

5 0

Answer:

Answer: The bottom or last answer.

Step-by-step explanation:

e^(2x + 5) = 4 Take the ln of both sides.

ln(e^(2x + 5)) = ln(4) Modify the left side. When e^z is logged you get z

2x + 5 = ln(4) Subtract 5

2x + 5-5 = ln(4) - 5 Simplify

2x = ln(4) - 5 Divide by 2

x = [ ln(4) - 5]/2 Answer

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PLEASE HELP ASAP!!!!! Which function could be shown in the graph below?

Leokris [45]

Answer:

The answer is A

Step-by-step explanation:

I draw a graph

5 0

3 years ago

PLEASEEE HELP MEEEE NO LINKSSS

Artemon [7]

Answer:

$\huge\boxed{(2,\ 3);\ (-1,\ 6)}$

Step-by-step explanation:

$f(x)=x^2-2x+3\to y=x^2-2x+3\\f(x)=-x+5\to y=-x+5\\\\\left\{\begin{array}{ccc}y=x^2-2x+3&(1)\\y=-x+5&(2)\end{array}\right$

substitute (1) to (2):

$x^2-2x+3=-x+5$ add x to both sides

$x^2-2x+x+3=-x+x+5$

$x^2-x+3=5$ subtract 5 from both sides

$x^2-x+3-5=5-5$

$x^2-x-2=0\\\\x^2+x-2x-2=0\\\\x(x+1)-2(x+1)=0\\\\(x+1)(x-2)=0\iff x+1=0\ \vee\ x-2=0\\\\\boxed{x=-1\ \vee\ x=2}$

substitute the values of x to (2):

$x=-1\\\\y=-(-1)+5=1+5=6\\\\\huge\boxed{(-1,\ 6)}\\\\x=2\\\\y=-2+5=3\\\\\huge\boxed{(2,\ 3)}$

3 0

2 years ago

ou decide to bake some cakes. You need 150 g of flour for 12 cakes. How much flour do you need for 30 cakes? g

Brilliant_brown [7]

Short answer: 375 grams

Remark
You only need to set up a direct proportion

Givens
flour for 12 cakes = 150 grams
Number of cakes initially = 12
Amount of flouer for 30 cakes = x
Number of cakes = 30

Proportion
amount flour for 12 cakes / 12 cakes = x / 30

Sub and solve
150 grams / 12 cakes = x / 30 cakes Cross multiply
150 * 30 = 12 *x Multiply the left side.
4500 = 12 x Divide both sides by 12
4500/12 = x
375 grams for 30 cakes. <<<<< Answer

5 0

3 years ago

What is an equation of a circle with center (2,7) and radius 4?

goblinko [34]

Equation of a circle:

(x - h)^2 + (y - k)^2 = r^2

In this case:

center (2,7) and radius 4 so h = 2, k = 7 and r = 4

Equation:

(x - 2)^2 + (y - 7)^2 = 4^2

(x - 2)^2 + (y - 7)^2 = 16

Hope it helps.

8 0

3 years ago

Tyler wants to buy a new tub and that cost $312. He has already saved the plan to save $24 per week over the next few weeks whic

laila [671]

Answer:

13 weeks

Step-by-step explanation:

Given that :

Cost of new tub = $312

Planned saving per week = $24

The number of weeks he'll have to save in other to be able to afford the tub can be obtained using the relation :

Number of weeks = cost of new tub / weekly saving

Number of weeks = $312 / $24

Number of weeks = 13 weeks

5 0

2 years ago