Write an equation in slope-intercept form for the line shown.
The equation in slope-intercept form is _______ .

Answer:

Step-by-step explanation:

Factorize the expression.

Sum = 7

Product = 12

Factors = 4 , 3

4 + 3= 7 & 4*3 = 12

x² + 7x + 12 = x² + 4x + 3x + 4*3

                 = x(x + 4) + 3(x + 4)

                 = (x + 4)(x + 3)

Sum = -1

Product = -12

Factors = (-4) , 3

(-4) + 3 = (-1)   & (-4)*3 = -12

x² - x - 12 = x² - 4x + 3x - 4*3

               = x(x - 4) +3(x - 4)

               = (x -4)(x +3)

[tex]\sf \dfrac{x^{2}+7x+12}{x^{2}-x-12}=\dfrac{(x+4)(x + 3)}{(x -4 )(x + 3)}\\\\\bf \text{(x +3) in the numerator and denominator will get cancelled}[/tex]

                   [tex]=\dfrac{x+4}{x-4}[/tex]

Answer:

B

Step-by-step explanation:

Answer:

  (D)

Step-by-step explanation:

The area of a rectangle is the product of length and width. We can solve this formula to find the width:

  A = LW

  W = A÷L . . . . . . divide both sides of the equation by L

__

For the given area and length, this looks like ...

  [tex]W=\boxed{\dfrac{1}{2}\div\dfrac{2}{3}}[/tex]

Answer:

3

Step-by-step explanation:

10 = 3

? 1 cross product

10/3=3.33

Answer:

-36 is the sum of the numbers all you have to do is try to find the answer to get to -36

Answer:

(3,0)

Step-by-step explanation:

I hope this helps. I think this is right.

base = 4 units

height = 2 units

(1/2).base.height = (1/2).4.2 = 4

area = 4 sq. units

hope it helps...!!!

Answer:

Give two equivalent ratios of 6 : 4. 6 : 4 = 6/4 So, equivalent ratios are 6/4 × 2/2 = 12/8 = 12:8 6/4 × 3/3 = 18/12 = 18:12 So, 6 : 4 = 12 : 8 = 18 : 12

Step-by-step explanation:

Answer:

4,000

Step-by-step explanation:

The individual places of the number are listed below:

Ten Thousands - 30,000
Thousands - 4000
Hundreds - 700
Tens - 10
Ones - 2

From this, we can see that the total value of 4 is 4000.

hope this helps! have a good day.

Answer:

First, if we look at these angles, we can see that they are vertical.

Vertical angles are congruent(meaning they measure the same degrees).

So let's set up an equation where -2x - 6 is equal to 40°, because they are vertical angles.

-2x - 6 = 40°

Solve for x!

Get rid of constants by performing the inverse operation of subtraction which is addition(because 6 is negative).

Make sure to apply this to both sides!!

(Add 6 to both sides)

+6           +6

-2x = 46

Now, we isolate x by getting of x's co-efficient.

To do that, we also perform the inverse operations.

The inverse operation of multiplication is division (since -2 is being multiplied by x).

(Divide -2 from both sides)

÷ -2 ÷ -2

x = -23

Therefore, x measures -23°.

Answer:

x = -23

Step-by-step explanation:

Vertical Angle Theorem

A pair of opposite angles formed by intersecting lines.

Vertical angles are congruent.

⇒ -2x - 6 = 40

Add 6 to both sides:

⇒ -2x = 46

Divide both sides by -2

⇒ x = -23

Answer:

43.96

Step-by-step explanation:

2 x 7 x 3.14 = 43.96

Answer:

44 rounded to nearest whole.

[tex]C = 2\pi r = 2 * \pi * r(7) = 44~in[/tex]

The accounting rate of return is 7.6%, the payback period is 5.755 years, the Net present value is $58,072, and the net present value(11%) is $3611.

The Net Present Value (NPV) is a corporate finance technique for analyzing the viability of an investment or a firm. It's the disparity between the anticipated cash flows and the initial investment. Let's look more closely at NPV.

We can calculate the accounting rate of return as follows:

Accounting rate of return = (Annual net Income/ Average Investment)×100

=(30,324/399,000)×100

= 7.6%

For Payback period:

Payback = Initial investment/ Annul cash flow

Annual cash flow = Annual net income + Depreciation

Deprecition = cost - salvage value/useful life

= (399,000-48,000)/9

= $39,000

Annual cash flow = 30,324 + 39,000 = 69324

Payback= 399,000/69324

= 5.755 years

For NPV:

NPV = Total present value of investment - initial investment

= 69324×PVIFA(8%, 9 years)+48,000×PV(8%, 9 years) - 399,000

= 69324×6.2469+24,011.95 - 399,000

= $58,072

For Net value recalculate if the cost of capital is 11%

NPV = Total present value of investment - initial investment

= 69324×PVIFA(11%, 9 years)+48,000×PV(11%, 9 years) - 399,000

= 69324×5.5370+18,764.39 - 399,000

= 3610.988

= $3611

Thus, the accounting rate of return is 7.6%, the payback period is 5.755 years, the Net present value is $58,072, and the net present value(11%) is $3611.

Learn more about the NPV here:

https://brainly.com/question/14476381

#SPJ1

Answer:

130.488

Step-by-step explanation:

if the extra numbers aren't there don't worry they just don't count them its 130.

HOPE THIS HELPED!!!!!

PLEASE LEAVE A LIKE AND 5 STARS'':)

Answer:

Step-by-step explanation:

Total paycheck before taking out taxes and insurance :

38×15 = 570

Left Amount of money after applying taxes :

570 - 570×(p/100)

= 570×[1 - (p/100)]

= 570×[(100-p)/100]

= (570/100) × [100 - p]

= 5.7 × [100 - p]

After taking out  the insurance amounts we can write this equation:

.,7 × [100 - p] - (35+4) = 462.6

⇔ 5.7 × [100 - p] - 39 = 462.6

⇔ 5,7 × [100 - p] = 462.6 + 39

⇔ 5,7 × [100 - p] = 501.6

⇔ 100 - p = 501.6/5.7

⇔ 100 - p = 88

⇔ p = 100 - 88

⇔ p = 12

Answer:

Expert's answer

let x denote the number of tires.

x~N(36500,50002)

z=\frac{x-\mu}{\sigma}

σ

x−μ

a) P(x>40000)

z=\frac {40000-36500}{5000}

5000

40000−36500

=0.7

we check the value of p(z>0.7) from the z tables.

=0.24196

24.2% of the tires can be expected to last more than 40000 miles.

b) P(z<0.1)

the value of \phi ^{-1}(0.1)ϕ

−1

(0.1) =-1.28

z=\frac{x-\mu}{\sigma}z=

σ

x−μ

-1.28=\frac{x-36500}{5000}−1.28=

5000

x−36500

=30100 miles

BRAIN LESS ANSWER IS CORRECT

Answer:

[tex]9a^3[/tex]

Step-by-step explanation:

Step 1:  Determine the simplified form

[tex](3a)^{3}[/tex]

[tex](3^{3}a^{3})[/tex]

[tex]9a^3[/tex]

Answer:  [tex]9a^3[/tex]

Answer:

6x<-39+¾

Step-by-step explanation:

let the number be represented by x.

Answer: The third option is correct.

Step-by-step explanation: 6x means "six times a number", which the unknown number is x. The less-than sign shows the "less than" part of the equation, and -39 3/4 represents the "negative thirty-nine and three-quarters". Hope this helps, also i got it right on edge.

Answer:

[tex] c^{-1}d^7 [/tex]

Step-by-step explanation:

You are multiplying factors with the same base, so add the exponents of the same base.

c^0d^7 × c^-1d^0 = c^0c^-1 × d^7d^0 = c^(0-1)d(7+0) = c^-1d^7

Answer: (dc)⁶

Step-by-step explanation:

Apply exponent rule: a⁰=1

This means c⁰=1 and d⁰=1 leaving the equation d⁷·c⁻¹

This then becomes d⁷/c though since they don't want a denominator we will have to change it.

Apply quotient rule of exponents: aᵇ÷aⁿ=aᵇ⁻ⁿ

This leaves us with (dc)⁶

Answer:

I think 9

Step-by-step explanation:

5+5+5+5+5+6+21+5+5 = 61

Answer:

[tex]x = \frac{2}{21} [/tex]

Step-by-step explanation:

That's the correct answer

Step-by-step explanation:

What did u want

Rewriting in standard form:

[tex]2x - 6y = - 21[/tex]

X - intercept:

[tex]x = - \frac{21}{2} [/tex]

y intercept:

[tex]y = \frac{7}{2} [/tex]

y = 1/3x + 7/2

so the slope is 1/3

Answer:

3s=19s=-6

We move all terms to the left:

3s-(19s)=0

We add all the numbers together, and all the variables

-16s=0

s=0/-16

s=0

Answer:

13.9 inches

Step-by-step explanation:

To find the height on this question i multiplied 12.8 by 4 and got 51.2 then divided 711.68 by 51.2 and got 13.9.

Answer:

a: 3/2, -2 b: 1/5, -1/2 c: 3/2, -4

Step-by-step explanation:

a: 2x^2+x=6

Subtract 6 from both sides.

2x^2+x−6=6−6

2x^2+x−6=0

Factor left side of equation.

(2x−3)(x+2)=0

Set factors equal to 0.

2x−3=0 or x+2=0

b: 10a^2+3a=1

Subtract 1 from both sides.

10a^2+3a−1=1−1

10a^2+3a−1=0

Factor left side of equation.

(5a−1)(2a+1)=0

Set factors equal to 0.

5a−1=0 or 2a+1=0

c: 2c^2+5c=12

Subtract 12 from both sides.

2c^2+5c−12=12−12

2c^2+5c−12=0

Factor left side of equation.

(2c−3)(c+4)=0

Set factors equal to 0.

2c−3=0 or c+4=0

#1

#2

#3

Answer:

Step-by-step explanation:

Finding the center.

The general formula for a circle is

(x - a)^2 + (y - b)^2 = r^2

The center is a and b. The center is marked as (6,5)

So the equation becomes

(x - 6)^2 + (y - 5)^2 = r^2

Finding the radius

The radius is found by calculating the distance between the center and any point on the circumference.

The point given on the circumference is (8,8)

x1 = 8

x2 = 6

y1 = 8

y2 = 5

r^2 = (8 - 6)^2 + (8 - 5)^2

r^2 = 2^2 + 3^2

r^2 = 4 + 9

r^2 = 13                            

Answer

(x - 6)^2 + (y - 5)^2 = 13

Answer:

4

Step-by-step explanation:

t + s - r

where,

r=13

s=10

t=7

u=15

substituting

7+10-13 =17-13 =4

Hey there!

t + s - r

= 7 + 10 - 13

= 17 - 13

= 4

Therefore, your answer might be:

Option B. 4

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

  $7045.82

Step-by-step explanation:

The formula for the balance of an account earning interest at rate r compounded continuously for t years is ...

  A = Pe^(rt)

We want to find P, given the other parameters in this formula.

__

  38956.06 = P(e^(0.09×19)) = P(5.52896148)

  P = 38956.06/5.52896148 ≈ 7045.82

The amount of the initial investment was about $7045.82.

hope this helps...