solve the function h(x)= 1/2-3 and j(x)= 2x+6, for x.

Answer:

B) L(x) = -x + 2

Step-by-step explanation:

To find the tangent at (1,1), we differentiate x² - ln(x/y) = 1 with resect to x.

So, x² - ln(x/y) = 1  

x² - (lnx - lny) = 1

x² - lnx + lny = 1

differentiating both sides with respect to x, we have

d{x² - lnx + lny]/dx = d1/dx

dx²/dx - dlnx/dx + dlny]/dx = d1/dx

2x - 1/x + 1/y(dy/dx) = 0

1/y(dy/dx) = 1/x - 2x

dy/dx = y(1/x - 2x)

dy/dx evaluated at (1,1) is

dy/dx = y(1/x - 2x)

= (1)(1/1 - 2(1))

= 1 - 2

= -1

This is the gradient of the tangent line.

To find the equation of the tangent line, we use (y - y')/(x - x') = m where y' = 1, x' = 1 and m = gradient of line = dy/dx = - 1

(y - y')/(x - x') = m

(y - y')/(x - x') = dy/dx

(y - 1)/(x - 1) = -1

cross-multiplying,

y - 1 = -1(x - 1)

expanding the bracket, we have

y - 1 = -x + 1

adding + 1 to both sides, we have

y -1 + 1 = -x + 1 + 1

y = -x + 2

So, L(x) = -x + 2

Answer:

x=(3/2)  OR  1.5

Step-by-step explanation:

2x+3=6

2x=6-3

2x=3

x=(3/2)  OR  1.5

Answer:

x=1.5

i hope this help :3 mark brainliest please!

thank you! <3

Answer:

2x+ 5

Step-by-step explanation:

Answer:

x+(x-2)=12

2x-2=12

2x=12+2

2x=14

x=14/2

x=7

x+y=12

7+y=12

y=12-7

y=5

Answer:

$5.75

Step-by-step explanation:

50.24 - 38.74 is 11.5

Then, to find how much each potato bag is you need to divide by 2.

11.5 divided by 2 is 5.75.

Each bag of potatoes was 5.75$

Answer:

10. 3 musicians

11. a) 10 feet

   b) can't read all of it

Step-by-step explanation:

Answer:

#10 should be 3

Step-by-step explanation:

Answer:

1/16

Step-by-step explanation:

Since he has a fourth of a pie and he is splitting it into 4 that would make 16 pieces of the whole pie and they are each getting 1/16

Answer:

x + (12x16) = 274

Step-by-step explanation:

each package = 12

16 packages

16x12= 192

x + 192 = 274

274-192=82

x =  82

The function to model the size of Sabrina’s collection is x + (12× 16) = 274.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

Total cards =  cards

Each package = 12

let the size of Sabrina collection be x

Then, x + (12× 16) = 274

x + 192 = 274

x =  274- 192

x= 82

Hence, the function to model the size of Sabrina’s collection is x + (12× 16) = 274.

Learn more about equation here:

https://brainly.com/question/10413253

#SPJ2

Answer:

29.35x+17.45y

Step-by-step explanation:

the adult tickets are 29.35 dollars and are represented as x. then multiply them. the child tickets are 17.45 dollars and are represented as y. multiply them too. then add them but don't put an equal sign. now that's an expression.

Answer:

Both of them are functions...

Step-by-step explanation:

Both of them are functions because neither A nor B has a repeated X value in their sets.

Answer:

C

Step-by-step explanation:

They both have different input and output

Answer:

f(1) = 1

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

f(1) is x = 1. The question is asking for the y-value, or f(x) value, when x = 1.

According to the graph, when x = 1, y = 1.

Therefore, f(1) = 1.

Answer:

y = 4 - 2x

y = -2 + 2x

y = -2 + 2x

x = 11

pease tell me if I got them wrong

Answer:

slope equals 3

Answer:

b

Step-by-step explanation:

i took the test

Answer:

(x,y) =(3/14,3/14)

Step-by-step explanation:

8x+ 4y=-2x+3           WRITE AS SYSTEM OFEQUATIONS

12y=-2x=3                  simplify expressions

10x +4y =3

2x+12y=3 .......multiply both sides of the equation by -5

10x +4y=3

-10x -60= -15        sum both equations to eliminate a variable  (10x cancels

                                                                                                      and 3+-5 +-12

-56y= -12          divide both side by -56                                                                                

y=3/14

2x+12x3/14=3    substitute the given value of y into the equation

x=3/14

Answer:

The answers are in the screenshot. There wasn't much information to go by, so if the domain and range (and graph) look a little weird, that's why

Answer:

B

Step-by-step explanation:

Very easy its B!

Answer:

it's b

Step-by-step explanation:

hope that it helped you

Answer:

Step-by-step explanation:

3(8)+2(4)÷2(4)+8 PEDMAS

24+8÷8+8

24+1+8

25+8

33

Answer:

6 makes the most sense

Step-by-step explanation:

UwU

c₁₆ - a₁₆ = 12 - 10 = 2₁₆

7 < c = 12 in base 16, so borrow 1 from the next place value:

17₁₆ - c₁₆ = 23 - 12 = 11 = b₁₆

In the next place, we replace 5 with 4, but 4 < 6, so borrow 1 from the next place value again:

14₁₆ - 6₁₆ = 20 - 6 = 14 = e₁₆

Replace d with c, so that

c₁₆ - 7₁₆ = 12 - 7 = 5₁₆

and this gives

d57c₁₆ - 76ca₁₆ = 5eb2₁₆

Answer:

H is the reflection of itself in the horizontal line

Answer:

A is a reflection across the vertical

Answer:

hi! so we have 2 points right? you will need to use something called the slope formula  y2-y1/x2-x1 we're subtracting our y values of both points and x values of both points while dividing them this gives us a slope of a line

now I want you to label before you do this in your head! it can get confusing to think about it so label label (x1-1,y1 4) (x2 14,y2 -2) now you have them labeled this parts easy! use the formula -2-4/14--1 okay now use your calculator you get -2/5 and now you have your m or slope!

memorize y2-y1/x2-x1  now! it will save you!

Step-by-step explanation:

Answer:

-2/5 is the answer

Answer:

3/2

Step-by-step explanation:

I know this answer is correct, because I did it on edge.

x 2 + 9  has no (Real) factors (Unlike  x 2 − 9 )

Explanation:

The most you could do with this is use the quadratic formula on

XXXX x 2 + 0 ⋅ x + 9

to get

XXXX ± 3 i

So you could factor using Complex values:

XXXX x 2 + 9 = ( x + 3 i ) ( x − 3 i )

Answer:

Step-by-step explanation:

From the given information:

The null and the alternative hypothesis can be well written as:

[tex]H_o:P=0.6[/tex]

[tex]H_1:P>0.6[/tex]

Given that:

n = 200

x = 135

Alpha ∝ = 0.05 level of significance

Then;

⇒ [tex]n \times p\times (1-P)[/tex]

= 200 × 0.6 × (1 -0.6)

= 200 × 0.6 × 0.4

= 48 ≥ 10

The sample proportion [tex]\hat P = \dfrac{x}{n}[/tex]

[tex]= \dfrac{135}{200}[/tex]

= 0.675

The test statistics [tex]Z = \dfrac{\hat P - P}{\sqrt{ \dfrac{P(1-P)}{n} }}[/tex]

[tex]Z = \dfrac{0.675 - 0.6}{\sqrt{ \dfrac{0.6 \times 0.4}{200} }}[/tex]

[tex]Z = \dfrac{0.075}{\sqrt{ \dfrac{0.24}{200} }}[/tex]

Z = 2.165

The P-value = P(Z > 2.165)

= 1 - P(Z < 2.165)

From the z tables

= 1 - 0.9848

= 0.0152

Reject the null hypothesis since P-Value is lesser than alpha. ( i.e. 0.0152 < 0.05).

Thus, there is enough evidence to conclude that the value of the population proportion is greater than 0.6

9514 1404 393

Answer:

  10 square units

Step-by-step explanation:

The triangle appears to have a base length (JL) of 4 units, and a height (JL to K) of 5 units. The area formula can be used:

  A = (1/2)bh

  A = (1/2)(4)(5) = 10

The area of the triangle is 10 square units.

The answer is ::::::;0

Answer:

IRR = 31.93%

Step-by-step explanation:

Depreciation = 570,000/5 = 114,000

Calculation of Operating cash flow

Operating income = 270000 - 114000 = 156,000

Tax = 156,000 * 35% = 54,600

Operating cash flow = Operating income + Depreciation - Tax = 156,000 + 114,000 - 54,600 = 215,400

Calculation of initial investment

CF0 = Initial investment - Working capital = 570,000 - 73,000 = 497,000

Calculation of the last year cash flow

CF5 = OCF + After tax salvage - Net working capital = 215,400 + 37,000 - 73,000 = 180,100

Calculation of IRR

IRR for the project = IRR(Cashflow from year0, 1, 2,3,4,5) "as attached below picture below"

IRR for the project = 31.93%