Solve 48=4b-4(4b-3) and show work.

Answers

Answer 1

Answer:

Step-by-step explanation:

4b - 16b + 12 = 48

-12b + 12 = 48

-12b = 36

b = -3


Related Questions

Area of square = 135 mm²
Perimeter of square=

Answers

Answer:

About 11.62 by 11.62

A square had equal sides so you find the square root of 135 and that is rounded to 11.62.

So the perimeter would be about 46. But 46.48 exactly.

Answer:

P≈46.48

A= Area

135

Step-by-step explanation:

2x - 4y=28+6y=10
Write equation in slope-intercept form

Answers

Answer:

Step-by-step explanation:

Y=1/2x - 5/2

Please someone help me. It's about proving related to transformation of trigonometric ratios. Thank you!!​

Answers

Answer:

see explanation

Step-by-step explanation:

Using sum to product identities

cos x - cos y = - 2sin([tex]\frac{x+y}{2}[/tex] )sin([tex]\frac{x-y}{2}[/tex] ) = 2sin([tex]\frac{x+y}{2}[/tex] )sin([tex]\frac{y-x}{2}[/tex] )

cos x + cos y = 2cos([tex]\frac{x+y}{2}[/tex] )cos([tex]\frac{x-y}{2}[/tex] )

Note that

sin10° = sin(90 - 10)° = cos80°

Thus

[tex]\frac{2sin(\frac{10+80}{2})sin(\frac{80-10}{2}) }{2cos(\frac{10+80}{2})cos(\frac{80-10}{2}) }[/tex] ← cancel 2 from numerator/ denominator

= [tex]\frac{sin45}{cos45}[/tex] × [tex]\frac{sin35}{cos35}[/tex]

= tan45° × tan35° { tan45° = 1 ]

= 1 × tan35°

= tan35° ← as required

Answer:    see proof below

Step-by-step explanation:

* Use the following Co-function Identity: sin A = cos(90 - A)

* Use the following Sum to Product Identities:

 cos x - cos y = 2 sin [(x + y)/2] · sin [(x - y)/2]

 cos x + cos y = 2 cos [(x + y)/2] · cos [(x - y)/2]

* Use the Unit Circle to evaluate cos 45 = sin 45 = √2/2

Proof LHS → RHS

[tex]\text{LHS:}\qquad \qquad \qquad \qquad \quad \dfrac{\cos 10-\sin 10}{\cos 10+\sin 10}\\\\\\\text{Co-function Identity:}\qquad \dfrac{\cos 10 -\cos (90-10)}{\cos 10+\cos (90-10)}\\\\\\\text{Product to Sum Identity:}\quad \dfrac{2\sin (\frac{10+80}{2})\sin (\frac{80-10}{2})}{2\cos (\frac{10+80}{2})\cos (\frac{80-10}{2})}\\\\\\\text{Simplify:}\qquad \qquad \qquad \qquad \dfrac{2\sin (45)\sin (35)}{2 \cos (45)\cos (35)}[/tex]

[tex].\qquad \qquad \qquad \qquad \qquad = \dfrac{2(\frac{\sqrt2}{2}) \sin (35)}{2(\frac{\sqrt2}{2}) \cos(35)}\\\\\\.\qquad \qquad \qquad \qquad \qquad = \tan (35)[/tex]

LHS = RHS:   tan 35 = tan 35   [tex]\checkmark[/tex]

If f(x) = 5x + 40, what is f(x) when x = -5? 0 g -8 O 7 O 15 ​

Answers

answer is 15

[tex]f(x)=5x+40\\f(-5)=5(-5)+40\\f(-5)=-25+40\\f(-5)=15[/tex]

If f(x) = 5x + 40, then the value of f(x) when x = -5 is: 15.

option D is correct.

Here, we have,

given that,

f(x) = 5x + 40

now, we have to find the value of f(x) when x = -5.

To find the value of f(x) when x = -5,

we substitute -5 into the function f(x) = 5x + 40:

we get,

f(-5) = 5(-5) + 40

= -25 + 40

= 15

Therefore, f(x) when x = -5 is 15.

Hence, If f(x) = 5x + 40, then the value of f(x) when x = -5 is: 15.

option D is correct.

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A 16-cup bottle of fabric softener costs $16.80. What is the price per pint?

Answers

Answer: 2.10 dollars per pint

===============================================

Work Shown:

1 pint = 2 cups

8 pints = 16 cups (multiply both sides by 8)

We have an 8 pint bottle costing $16.80, so we can say

8 pints = 16.80 dollars

1 pint = 2.10 dollars (divide both sides by 8)

Answer:

$2.10

Step-by-step explanation:

2 cups in 1 pint

16 cups= 8 pints

16 cups = 16.80

16.80 divided by 8 = 2.1

What is the equation of the polynomial function?

Answers

Answer:

f(x) = (1/2)(x-2)^2(x+1)(x+2)

Step-by-step explanation:

You can determine this by looking at the zeroes of the graph. For any zero that goes through the x-axis, the power of that zero is odd. For any zero that that "bounces" from the x-axis, the power of that zero is even.

Starting from left to right, we can see that the first zero, -2, goes through the x-axis. That means (x+2) is raised to an odd power. The second zero, -1, also goes through, so (x+1) is raised to an odd power. The last zero, 2, bounces off the x-axis, so (x-2) is raised to an even power. The only functions that satisfy this criteria are function 1 and 2.

However, we are not done yet. We need to figure out which multiplier value (1/2, 1/4) is correct. To do this, we plug in 0 for x, since we know that the y-intercept is 4. When we plug in 0, we see that f(0) = 4 for the first function. Therefore, the first function is the answer.

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Express y in terms of x, given 2x+3y =4. Check whether the point (2,1) lies on the given line.

Answers

Answer:

see explanation

Step-by-step explanation:

Given

2x + 3y = 4 ( subtract 2x from both sides )

3y = - 2x + 4 ( divide all terms by 3 )

y = - [tex]\frac{2}{3}[/tex] x + [tex]\frac{4}{3}[/tex]

To determine if the point (2, 1) lies on the line, substitute x = 2 into the right side of the equation and if the value obtained equals the y- coordinate of the point then it lies on the line.

y = - [tex]\frac{4}{3}[/tex] + [tex]\frac{4}{3}[/tex] = 0 ≠ 1

Ths (2, 1) does not lie on the line

4t – 3 – (3t +1) = 5t – 4 can i get some help?

Answers

0t

Step-by-step explanation:

4t-3-(3t+1)=5t-4

4t-3-3t-1=5t-4

t-3-1=5t-4

t-4=5t-4

t=5t

0=6t

0=t

(Im not 100% sure about this but i think this is the answer)

PLEASE HELP! (this isn’t math but I really need this in the next few mins) An assignment my gaming and animations teacher gave me said to explain (insert game)’s objectives, operation, obstacles, and outcomes. I don’t know what an operation means here. Please help

Answers

Answer:

Gaming Functions

Step-by-step explanation:

I think your teacher is implying for you to explain the function and the "works" behind the game. Maybe talk about the game's programming or the way it's overall structured?

Mark just landed a great job as an engineer where he will make $65,000 a year. The company he will work for guarantees a 2% pay increase each year so it's employees' salaries keep up with inflation. At the end of the first year Mark will have made $65,000. What is the explicit function that represents Mark's salary?

Answers

Answer:

65000(1.02)^n.

Step-by-step explanation:

Salary = 65000(1.02)^n   where n is the number of years he has worked for the company.

So after one year he earns $6500* 1.02 and after 2 years $65000 * 1.02^2.

The exponential function represents Mark's salary is [tex]65000(1.02)^n.[/tex]

What is an exponential function?

The mathematical expression f(x)=exp or e^x denotes the exponential function.

The word, unless specifically stated differently, normally refers to the positive-valued function of a real variable, though it can be extended to complex numbers or adapted to other mathematical objects like matrices or Lie algebras.

Given that Mark just landed a great job as an engineer where he will make $65,000 a year. The company he will work for guarantees a 2% pay increase each year so its employees' salaries keep up with inflation. At the end of the first year, Mark will have made $65,000.

The exponential function for the salary will be written as:-

[tex]Salary = 65000(1.02)^n[/tex]  

where n is the number of years he has worked for the company.

So after one year, he earns $6500 x 1.02, and after 2 years $65000 x 1.02².

Therefore, the exponential function represents Mark's salary is [tex]65000(1.02)^n.[/tex]

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Help needed ASAP will give brainliest to the person that answers this

Answers

Ans option 3? it can be converted to a fraction!

Answer:

it depends on the number of decimals

Step-by-step explanation:

What is the first step in solving the equation 4.2 y minus 5.2 = 18.5?

Answers

The first step is to add 5.2 to both sides.

Answer:

add 5.2

Step-by-step explanation:

A graph where the horizontal axis shows time (t), numbered 1 to 4, and the vertical axis shows height (h) numbered 10 to 60. Solid circles appear at point (0, 48), point (1, 64), point (3, 0). A solid curved line connects all 3 points.
Leon throws a ball off a cliff. The graph represents a relation that models the ball’s height, h, in feet over time, t, in seconds.

What is the domain?

Answers

Answer:

the answer is A

Step-by-step explanation:

just did it

Answer:

a

Step-by-step explanation:

Have to FOIL: (3x + y) (2x - y)

Answers

Hi there! :)

Answer:

6x² -xy - y²

---- --- --- --- --- --- --- --- --- --- --- ---

(3x + y) ( 2x - y)

FOIL: (First, Outer, Inner, Last)

3x(2x) + 3x(-y) + y(2x) + y(-y)

Simplify:

6x² -3xy + 2xy - y²

6x² -xy - y²

Identify 21, 46, and 57 as prime or composite.
HELP!!

Answers

21 is composite because its factors are 1, 3, 7 and 21. If a number has 3 or more factors, then it's composite.

46: 1, 23, 46.

57: 1, 3, 19, 57.

Hope this helps!

#HaveAnAmazingDay

[tex]GraceRosalia[/tex]

The numbers 21, 46, and 57 are composite numbers.

Given,

21, 46 and 57

We need to identify which are prime or composite numbers.

What are prime numbers and composite numbers?

Prime number - The numbers whose factor is only 1 and itself.

Example: 2, 5, 7

2 x 1 = 2

5 x 1 = 5

7 x 1 = 7

Composite number - The numbers which have factors other than itself and 1.

Example: 4, 6, 8

4 = 2 x 2

6 = 2 x 3

8 = 2 x 4

Find the factors

21 - 7 x 3

46 - 2 x 23

57 - 3 x 19

We see that each number has factors other than 1 and itself.

So,

21, 46, and 57 are composite numbers.

Thus 21, 46, and 57 are composite numbers.

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The difference between a number and 20 is 45...

Answers

Answer:

Step-by-step explanation:

25

the area of a square with a width of 2√5 in simplest form

Answers

Answer:

20

Step-by-step explanation:

(2√5)²=

4*5=20

solve for the variable.
r
—— + 4 = 5
10
help quick!

Answers

i think its 1!! hope this helped

The area of a square garden is 9 yd*2..
How long is each side of the garden?

Answers

Answer:

18 yards i think

Step-by-step explanation:

-n if n = -16 I need help
(It says high school at the top but it's supposed to be middle school)

Answers

Answer: 16 is the correct answer.

Step-by-step explanation: -n if n=-16 --16 two negatives equal positive and makes it +16.

An investor has an account with stock from two different companies. Last year, her stock in Company A was worth $2690 and her stock in Company B was worth $2980. The stock in Company A has decreased 20% since last year and the stock in Company B has decreased 10%. What was the total percentage decrease in the investor's stock account? Round your answer to the nearest tenth (if necessary).

Answers

Answer:

14.7 %

Step-by-step explanation:

let us total the amount in her portfolio

Company A was worth $2690

Company B was worth $2980.

Total = $5670

when The stock in Company A decreases by 20%  she will have

$2690 *0.8=  $2152

Company A will worth $2152

when The stock in Company B decreases by 10%  she will have

$2980 *0.9=  $2682

Company A will worth  $2682

In all after the decline in are portfolio is $2152+$2682= $4834

the difference for the original amount in her investment is = $5670-$4834

= $836

The total percentage decrease in the investor's stock account

= (836/5670)*100= 0.147*100= 14.7 %

Answer:

14.7%

Step-by-step explanation:

It’s 14.7%

Pls make me brainliest

4x - 4y = 1 Solve the equation for y. 10 points!

Answers

Answer:

infinite solutions

y = x - 1/4

Step-by-step explanation:

4x - 4y = 1

4y = 4x - 1

y = x - 1/4

substitute

4x - 4(x - 1/4) = 1

4x - 4x + 1 = 1

0 = 0

infinite solutions

Please I need help please hurry I will mark brainliest

Answers

Step-by-step explanation:

Remember: the formula for solving for volumes:

l • w • h

An easy way to do this is to convert all the numbers to decimals.

3 1/2 = 3.5

5 1/4 = 5.25

4 = 4

Now, we can multiply.

3.5 • 5.25 • 4 = 73.5

Convert 0.5 to a fraction: 1/2

Our final answer: D: [tex]73 \frac{1}{2}[/tex]

The answer is d hope it helps

What change would you get from £10 if you spent £9.17? Give your
answer in pence

Answers

83 pence hhhhjejejejejsnsjsnsjsnsnanananana

Answer:

£0.83

Step-by-step explanation:

This is a simple subtraction problem.

You have 10 pence. You buy something with 9.17 pence.

10 - 9.17

0.83

Label your answer in pence.

£0.83

Good luck mate :)

4) Let A = {7, 8, 9, 10, 11, 12), B = {9, 11, 13), C = {7, 8, 10, 12), D = {7, 12), and U = {7, 8, 9, 10, 11, 12, 13). 4) Вас A) True B) False​

Answers

It is true as A consist {7,8,9,10,11,12} and B consists of{9,11,13} and C consist of {7,8,10,12} and D has{7,12} there are the set of numbers from 7 to 13 only so the answer is true that U={7,8,9,10,11,12,13}.

4. 6t -5+5t = 105 (t = 4; t = 7;t = 10)

Answers

Answer:

t = 10.

Step-by-step explanation:

We can combine like terms, getting 11t - 5 = 105.

Add both sides by 5, getting 11t = 105 + 5 = 110.

We can then divide both sides by 11, getting t = 10.

A cell phone manufacturer designed the new packaging shown below that will hold a cell phone, accessories, and an owner's manual. Which is the volume of the new packaging? A small rectangular prism sitting on top of a larger rectangular prism. The top prism measures 5 inches by 1 inch by 2 inches. The bottom prism measures 5 inches by 4 inches by 1 plus 3 inches. 130 in.3 120 in.3 110 in.3 90 in.3

Answers

Answer:

90 inches³

Step-by-step explanation:

Given that:

A small rectangular prism sitting on top of a larger rectangular prism. The top prism measures 5 inches by 1 inch by 2 inches.

The bottom prism measures 5 inches by 4 inches by 1 plus 3 inches

Volume of rectangular prism = (width * length * height)

Volume of smaller prism: ( 5 * 1 * 2) inches = 10inch³

Volume of larger prism : (5 * 4 * (1 +3)) inches

(5 * 4 * (1 +3)) inches = (5 * 4 * 4) inches = 80 inches³

Total volume of the new packaging:

Volume of smaller + volume of larger prism

10 inches³ + 80 inches³ = 90 inches³

Consider the partial construction of a line parallel to liner through point Q.
What would be the final step in the construction?
Draw a line through P and S.
Draw a line through W and S.
Draw a line through Q and S.
Draw a line through T and S.

Answers

Answer:

Option (3)

Step-by-step explanation:

To construct a line parallel to the line through point Q we will follow the following steps,

1). We join two points P (on the line) and point Q above the line PT with the help of a straightedge.

2). Now we will copy the angle QPT at point P with the help of a compass (Arcs as shown in the figure)

3). Finally we will join points Q and S to construct a line QS parallel to the line PT.

Therefore, Option (3) will be the answer.

Convert 50 m/s to miles/hr

Answers

Answer is: 111.847

Method:
1 m/s = 2.23693629 mi/hr

Therefore ->
50 (m/s) * 2.23693629 (mi/hr) = 111.847 mi/hr

(Thanks to google)

Micheal has saved 22.40 cents Kevin saved 3/4 of the amount that micheal saved. Jack saved 5 times as much as kevin. What is the total amount of all three

Answers

Answer:

$151.20

Step-by-step explanation:

(22.40x0.75)+(22.40x5)+22.40=151.20

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