A shirt is on sale for 30% off the regular price. The regular price is $27.00.
What is the sale price?
$8.10
$18.20
$18.90
$18.80

Answer:

[tex](\ln(5), 19-5\ln(5))[/tex]

Step-by-step explanation:

The line can be represented as y=5x-8, so the slope of the line is 5.

The derivative of the curve is:

[tex]\frac{d}{dx} [9+2e^x-5x]\\=\frac{d}{dx} [9]+\frac{d}{dx} [2e^x]-\frac{d}{dx} [5x]\\=2e^x-5\\[/tex]

We need to set that equal to 5 to find the x coordinate of our desired point

[tex]2e^x-5=5\\2e^x=10\\e^x=5\\x=\ln(5)[/tex]

Now, just plug in x in the curve to solve for y:

[tex]9+2e^{\ln(5) } -5\ln(5) = y\\9+10-5\ln(5)=y\\19-5\ln(5)=y[/tex]

Line 5x y = 8 has a slope of 5. This means that the tangent line that runs parallel to this line must also have a slope of 5.

To solve this equation

dy/dx = 2ex 5 is the derivative of the function y = 9 + 2ex 5x. Consequently, 2ex 5 is equal to the slope of the tangent line at any location.

When we set the slope of the tangent line to 5, we obtain:

2ex − 5 = 5

2ex = 10

e^x = 5

Taking the natural logarithm of both sides, we get:

ln(e^x) = ln(5)

x = ln(5)

Therefore, ln(5) is the x-coordinate of the crossing point.

We can enter this value of x into the original function to determine the y-coordinate:

y = 9 + 2e^(ln(5)) − 5(ln(5))

y = 9 + 10 − 5ln(5)

y = 15 − 5ln(5)

As a result, the intersection is at (ln(5), 15 5ln(5)).

To sum up, (ln(5), 15 5ln(5)) is the point on the curve y = 9 + 2ex 5x where the tangent line is parallel to the line 5x y = 8.

Learn more about tangent line here

https://brainly.com/question/33610482

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Answer:

The equation would be y = 5x - 3

Answer:

1 d

2 b

3 g

4 a

5 e

6 f

7 c

8 h

Please mark as Brainliest

Answer:

A. <LKM = <LJN

Step-by-step explanation:

A. <JKM = <LJN is not congruent = will NOT prove

B. KM/JN = KL/ML is a valid proportion = will prove

C. JN || KM is congruent = will prove

D. KL/JL = ML/NL is a valid proportion = will prove

Answer:

B) 8

Step-by-step explanation:

Triangles MNC and RSC are similar because all 3 angles are the same, so the the ratio between each side should be the same.

If NC=12 and SC=6 then triangle MNC is scaled up by 2 from triangle RSC. This means each side of MNC is 2 times bigger than on RSC. So, sense RS=4, we can multiply that by 2 to get MN=8.

Answer:22 hopes this helps

Step-by-step explanation:

so here the problem look at the numbers -8 and 14

8 is no long a a negative it’s positive

So now you got 8 + 14 = 22

Answer:

22 blocks

Step-by-step explanation:

just simply add 8 and 14 to get your answer :)

1/8; 0.2; 13/26; 3/5; 7/8; 1.09; 1.19; 1.5; 1.9

Answer:

45

Step-by-step explanation:

The equation for area of a triangle is:

[tex]A=\frac{1}{2}*b*h[/tex]

Using the figure, we can determine the base is 15 since it is perpendicular to the height.

We can plug 6 (height) and 15 (base) into the equation to solve for the area...

[tex]A=\frac{1}{2}*6*15=\frac{1}{2}*90=\frac{80}{2}=45[/tex]

Answer:

$352

Step-by-step explanation:

One ticket costs $22, so 16 tickets would be 22 times 16.

Final Answer: $352

Answer:

[tex]7( - 7 + 6m) + 9[/tex]

Answer:

x=4 y=-3

Step-by-step explanation:

I will solve your system by substitution.

(You can also solve this system by elimination.)

x−2y=10 ; 6x+3y=15

Step: Solve x −2y= 10for x:

x − 2y + 2y = 10 + 2y (Add 2y to both sides)

x=2y+10

Step: Substitute 2y+10 forx in 6x+3y=15:

6x+3y=15

6x+3y=156(2y+10)+3y=15

15y+60=15 (Simplify both sides of the equation)

15y+60+−60=15+−60 (Add -60 to both sides)

15y=−45

15y/15=−45/15(Divide both sides by 15)

y=−3

Step: Substitute −3 for y inx=2y+10:

x=2y+10

x=(2)(−3)+10

x=4(Simplify both sides of the equation)

Answer:

x=4 and y=−3

Answer:

Order is    1/2  < 5/6 < 5/4

Step-by-step explanation:

  1/2  = 0.5

  5/6 = 0.83

  5/4 = 1.25

      0.5 < 0.83 < 1.25

Just convert 'em to decimals....

½ = 0.5

⅚ = 0.83

5/4 = 1.25

# 1/2 < 5/6 < 5/4

Answer:

75 onces 15 eggs and I dont know for the brown sugar

Step-by-step explanation:

Answer:

12.9 or 12 9/10

Answer:

$23

Step by step explanation

Answer:

0.21% of 8,095.23=17

Step-by-step explanation:

17÷0.21%

17÷(0.21÷100)

(100×17)÷0.21

1700÷0.21

8,095.238095

ans is 8095.23

hope it helps

Answer:

-6 = negative 6

negative is on the left side of the number lines

6 left from the middle

If this helped, please consider picking this answer as the Brainliest Answer. Thank you!

Answer:

AV of -15 is 15.

AV of 16 is 16.

Step-by-step explanation:

It turns the number positive.

Answer:

x = 6/5

y = 2/5

Step-by-step explanation:

this is the answer i got please mark brainliest i really need it cuz i need 2 more

Answer:

(i) 88°

(ii) 23°

Step-by-step explanation:

See the picture below.

The numbers added in red are the angle measures. The numbers added in black are the order in which each angle measure was written.

ABCD is a rhombus, so all sides are congruent.

Triangle BCD is isosceles with sides DC and BC congruent, so <DBC is congruent to <BDC. From the sum of the measures of the angles of a triangle, we get m<DCB. Opposite angles of a rhombus are congruent, so m<A = m<DCB. From the sum of the measures of the angles of a triangle and from isosceles triangle ADB we get m<ADB and m<ABD. From m<DBC and supplementary angles, we get m<CBE. From isosceles triangle BCE, we get m<BCE.

Answer:

x=30°

y=15°

z=150°

Step-by-step explanation:

2x+90+x=180°

2x=180°-90°

x=90/3

x=30

2y=x

y= 30/2

y=15°

2y°+z°=180°

2(15°)+z°=180°

z=180°-30°

z=150°

Hope it helps! :)

Answer:

y=2x-10

2y=x-8

since the second equation equals 2y and the first is y that means the first equation times 2 equals the other one

4x-20=x-8

-x

3x-20=-8

+20

3x=12

x=4

then lets just plug it in

2y=4-8

simplefy

2y=-4

y=-2

(4,-2)

Hope This Helps!!!

Answer:

x=242

Step-by-step explanation:

-152=90

+152  +152

=242

Answer:

y = total amount of money in Maria’s savings account.

x= number of days.

you are given the y-intercept (12) and the slope of the equation ( $2/ 1day ).

thus, c = 12

m = 2

substitute these values into slope–intercept form,

y = mx + c

y = 2x + 12

hope this helps you!

-s.

Answer:

5+4+1=10

20000/10=2000

5x2000:4x2000:1x2000

10000:8000:2000