6a^3b-1 . 2a^4b^2 I need help with my math​

Answers

Answer 1

Answer:

this might help

Step-by-step explanation:

Simplifying

2a + 4b + 6a + -3b = 0

Reorder the terms:

2a + 6a + 4b + -3b = 0

Combine like terms: 2a + 6a = 8a

8a + 4b + -3b = 0

Combine like terms: 4b + -3b = 1b

8a + 1b = 0

Solving

8a + 1b = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-1b' to each side of the equation.

8a + 1b + -1b = 0 + -1b

Combine like terms: 1b + -1b = 0

8a + 0 = 0 + -1b

8a = 0 + -1b

Remove the zero:

8a = -1b

Divide each side by '8'.

a = -0.125b

Simplifying

a = -0.125b


Related Questions

The cost of Ms. Clark's restaurant meal is $25. 50. As a tip, Ms. Clark gives the waiter 20% of the meal's cost. What is the total amount Ms. Clark pays, including tip? $26. 01 $30. 60 $32. 64 $33. 5.

Answers

Percent is count of number per 100 numbers. The total amount Ms Clark pays including the tip is given by: Option B: $36.60

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

It is given that:

Cost of Ms. Clark's restaurant meal = $25.50Tip amount = 20% of cost of meal

Total cost that Ms Clark pays = Cost of meal + tip amount

Now, tip amount is 20% of $25.50

It is calculated as:

[tex]Tip = \dfrac{25.50}{100} \times 20 = 5.1\text{\:(In dollars)}[/tex]

Thus, tip amount = $5.1

And thus, Total cost that Ms Clark pays = $25.5 + $5.1 = $30.6

Thus,

The total amount Ms Clark pays including the tip is given by: Option B: $36.60

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What the rate of change for f(t)=70(5/2)^t
help

Answers

5/2
70 is the constant number that doesn’t change, but anytime you increase t you are raising it above 5/2. So every time you grow 5/2.

Angles A and B are complementary. If cos A = 7x − 9 and sin B = 4x + 15, what is the value of x?

Group of answer choices

47

21

8

2

Answers

The value of x according to the described angles is; 8

Complementary angles

If two angles A and B are complementary, it follows that A + B = 90 and Cos A = Sin B.

From the statement above, it follows that;

4x + 15 = 7x -9

Collect like terms;

15 +9 = 7x - 4x

3x = 24

Divide both sides by 3;

x = 24/3 = 8.

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Please help with this question !! Which methods will determine 60% of 56?

Choose all correct answers.


A. Determine 1% of 56, and multiply the result by 6.

B. Determine 1% of 56, and multiply the result by 60.

C. Determine 10% of 56, and multiply the result by 6.

D. Determine 10% of 56, and multiply the result by 60.

Answers

Answer:

A. Determine 1% of 56, both of them

Step-by-step explanation:

Please Expand This
2p(7p=7)

Answers

Answer:

[tex]2p(7p = 7) \\ 14 {p}^{2} = 14p \\ 14 {p}^{2} - 14p = 0[/tex]

stop and shop is having a sale on paper towels: 5 rolls for 3$. how much will 12rolls(s) cost?

Answers

Answer:

$7.20 for 12 rolls

Step-by-step explanation:

let x = the price of one roll

5x = $3

x = $3/5

12 • x = total cost

12 • $3/5 = total cost

$36/5 = total cost

$7.20 = total cost

Please Help Me !!!! Its A Math Question!! The path of a ball being thrown off a building can be modeled by the equation y= -16t^2+64t+80

How long does it take to get to its maximum height?

What is its maximum height?

How long does it take to hit the ground?

What is an appropriate domain and range for this function?

What does the 80 in the equation represent?

Answers

Answer: Also can i have brainliest?

The ball will hit the ground 5 seconds after being thrown.

Step-by-step explanation:

The correct function is: h(t)= -16t^2+64t+80

You can rewrite the Quadratic function given in the exercise with making h(t)=0. Then this is:

0= -16t^2+64t+80

Now you can simplify the equation dividing both sides by -16. So you get:

0= t^2-4t-5

To find the solution of the Quadratic equation, you can factor it. In order to do this, it is necessary to find two numbers whose sum is -4 and whose product is -5. These number would be -5 and 1.

Therefore, you get this result:

0= (t-5) (t+1)

t1=5

t2=-1

Since the time cannot be negative, you can conclude that the ball will hit the ground 5 seconds after being thrown.

For the path of a ball being thrown maximum height is 144 units, time taken to reach maximum height is 2 units and time, it take to hit the ground is 5 units.

What is projectile motion?

Projectile motion is the motion of the body, when it is thrown in the air taking the action of gravity on it.

The path of a ball being thrown off a building can be modeled by the equation

[tex]y= -16t^2+64t+80[/tex]

Time taken to reach maximum height-

Comparing this equation, with standard form of quadratic equation, we get,  a=-16, b=64 and c=80.

Thus, the maximum height time can be given as,

[tex]t=-\dfrac{b}{2a}\\t=-\dfrac{64}{2(-16)}\\t=2\rm sec[/tex]

Thus, the time taken to reach maximum height is 2 seconds.

The maximum height-

Again by the equation,

[tex]y= -16t^2+64t+80[/tex]
As it reaches maximum height after the 2 seconds. Therefore,

[tex]y_{max}= -16(2)^2+64(2)+80\\y_{max}= 144\rm[/tex]

Time, it take to hit the ground-

This can be find out with the following formula,

[tex]t=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\t=\dfrac{-64\pm\sqrt{64^2-4(-16)(80)}}{2(-16)}\\t=\dfrac{-64\pm96}{-32}\\[/tex]

Taking negative sign,

[tex]t=\dfrac{-64-96}{-32}=5\\[/tex]

Taking positive sign,

[tex]t=\dfrac{-64+96}{-32}=-1\\[/tex]

Thus the time, it take to hit the ground is 5 units.

The 80 in the equation represent-

80 is the constant coefficient of the equation, which represent the height in the feet.

Hence, for the path of a ball being thrown maximum height is 144 units, time taken to reach maximum height is 2 units and time, it take to hit the ground is 5 units.

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3 and 0.75x = 10 and 0.25x what is x

Answers

Answer:

14

Step-by-step explanation:

with "and" you mean "+" ?

if so, then

3 + 0.75x = 10 + 0.25x

you know that it is perfectly OK to add or subtract the same number to/from both sides of the equation ?

the same for multiplication and division.

the important thing is to do always the same thing to both sides.

1. subtracting 3 from both sides

0.75x = 7 + 0.25x

2. subtracting 0.25x from both sides

0.5x = 7

3. dividing both sides by 0.5

x = 7/0.5 = 7 / 1/2 = 7 × 2/1 = 14

Need help with these two questions.​

Answers

Answer:

Answer is below :)

Step-by-step explanation:

Hope this helps you!

You borrowed $95 for 1 year at 5.2% interest that is compounded semi annually. What will you pay back in full?

Answers

Answer:

$100.00

Step-by-step explanation:

Compound interest is calculated by multiplying the initial loan amount, or principal, by the one plus the annual interest rate raised to the number of compound periods minus one. This will leave you with the total sum of the loan including compound interest.

The amount I have to pay back in full is approximately 100 dollars.

What is compound interest?

Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.

We know the formula for compound interest is,

A = P(1 + r/100)ⁿ.

Where, A = amount, P = principle, r = rate, and n = time in years.

The formula for compound interest compounded semi-annually is,

A = P(1 + (r/2)/100)²ⁿ. (two semi-annuals in one year)

Therefore, A = 95(1 + (5.2/2)/100)²ˣ¹.

A = 95(1 + 0.026)².

A = 95(1.026)².

A = 95×1.052676.

A = $100 approximately.

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How do you use bodams

Answers

Answer:

Step-by-step explanation:

The BODMAS rule states we should calculate the Brackets first (2 + 4 = 6), then the Orders (52 = 25), then any Division or Multiplication (3 x 6 (the answer to the brackets) = 18), and finally any Addition or Subtraction (18 + 25 = 43). Children can get the wrong answer of 35 by working from left to right.

what is f(g(x)) when f(x)=3x+1 and g(x)=4x^2-4

Answers

Answer:

f(x)=3x+1 = (-1/3, 0)

g(x)=4x^2-4 = (1, 0), (-1, 0)

Step-by-step explanation:

Hope this helped!

Answer:

f(g(x)) = 12x² - 11

Step-by-step explanation:

Given:

f(x) = 3x + 1g(x) = 4x² - 4

Find f(g(x)):

f(g(x)) = f(4x² - 4) = 3(4x² - 4) + 1 = 12x² - 12 + 1 = 12x² - 11

A 19 foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground if 18 foot from the base of the building.

Answers

Answer:

The answer would be 342

Step-by-step explanation:

Multiply 19 by 18 and you get 342

Answer:

Square root of 37, about 6.08

Step-by-step explanation:

Pythagorean Theorem: a^2 + b^2 = c^2

18^2 + b^2 = 19^2

324 + b^2 = 361

b^2 = 37

b= sqrt37

b about equal to 6.08

To make a specific hair dye, a hair stylist uses a ratio of 1 oz of red tone, oz of gray
tone, andoz of brown tone.
1. If the stylist needs to make 100 oz of dye, how much of each dye color is needed?
2. If the stylist needs to make 100 oz of dye, how much of each dye color is needed?

Answers

Answer:

5.9 oz red tone,

1.7 oz gray tone,

2.9 OZ of brown tone

Determine whether the following graph is a direct variation. Explain how you came to your conclusion. I know it's a directly proportional
but i dont know how to explain it

Answers

Graphs that represent direct variation are proportional functions

The graph represents a direct variation

How to determine the type of graph

From the graph, we have the following ordered pairs

(x,y) = (0,0), (2,4) and (3,9)

Rewrite as:

(x,x^2) = (0,0^2), (2,2^2) and (3,3^2)

The above means that, the equation of the graph is:

[tex]y = x^2\\[/tex]

i.e. y varies directly to the square of x

Where the proportionality constant is 1

Hence, the graph represents a direct variation

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At a sale this week, a sofa is being sold for $731. This is a 15% discount from the original price.
What is the original price?

Answers

840.65$

731(1.15)=840.65
we would do the given price
731 x 0.15 and then we get 109.65 this is the amount added to our original number

We take 109.65 + 731 and then we get 840.65 this is how much the couch originally costed.

Find the slope of this line

Answers

Answer:

the slope is undefined

Step-by-step explanation:

x=-2 is a horizontal line, if the line you're looking for is perpendicular to a straight line then its a vertical line, making the slope undefined

What is the equation of a line parallel to:

PLEASE EXPLAIN. STEP BY STEP

Answers

Answer:

y= ⅗x +1

Step-by-step explanation:

Given line: y= ⅗x +4

Gradient= ⅗

The gradient of the line can be found from the coefficient of x. This applies only when the equation is in the slope-intercept form (y= mx +c).

In the slope-intercept form, the coefficient of y is 1 and all the other terms and constant is on the right-hand side of the equation while the y term is on the left-hand side.

Parallel lines have the same gradient. Thus the line parallel to y= ⅗x +4 would have the equation of y= ⅗x +c, where c is the y-intercept.

To find the value of c, substitute a pair of coordinates into the equation.

Given that the line passes through (-5, -2), we can substitute this coordinates into y= ⅗x +c.

When x= -5, y= -2,

-2= ⅗(-5) +c

-2= -3 +c

c= -2 +3

c= 1

Thus, the equation of the line is y= ⅗x +1.

In one week a shop buys 15 bottles of soy sauce at a price of Rp. 127,500. If on
the following week the shop owner ordered 24 bottles of soy sauce, how much money to pay
the shop owner?

Answers

Answer: 204000

Since the shop buys 15 bottles of soy sauce at a price of Rp. 127,500, the cost of one bottle will be:
= 127500/15
= 8500.

Therefore, the cost of 24 bottles will be:
= 24 × 8500.
= 204000

What is the positive solution to the equation 0 = 1/8 x2 - 8

Answers

Answer:

x=64

Step-by-step explanation:

0=1/8x-8

8=1/8x

8/1/8=1/8x/1/8

x=64

Find the coordinates of point D in each diagram:

Answers

Answer:

Thank you for these points

Step-by-step explanation:

Answer:

Step-by-step explanation:

Yeah thanks.

Have a great day!

Warren bought cupcakes for his sister's birthday party. 40% of the 35 cupcakes had sprinkles on top. How many cupcakes had sprinkles?

Answers

Answer:

14 cupcakes

Step-by-step explanation:

40 percent of 35 is 14

Answer:

14 cupcakes had sprinkles.

Step-by-step explanation:

Write 40% as 40/100. Since finding the fraction of a number is the same as multiplying the fraction with the number, we have 40/100 of 35 = 40/100 × 35.

PQRS is a Quadrilateral such that pq=8cm , QR = 4cm and SR=5cm If PQ and SR are Produced to meet at x such that Qx = 8cm. and RX=10cm Calculate Ps to a suitable degree of accuracy ​

Answers

Answer:

  PS ≈ 6.08

Step-by-step explanation:

All of the side lengths are given except PS. It can be found using the Law of Cosines, twice.

The first use of the Law of Cosines will be to find the cosine of the angle at X.

  QR² = QX² +RX² -2(QX)(RX)cos(X)

  cos(X) = (QX² +RX² -QR²)/(2·QX·RX) = (8² +10² -4²)/(2·8·10) = 37/40

__

Now, the Law of Cosines can be used to find PS:

  PS² = PX² +SX² -2(PX)(SX)cos(X)

  PS² = 16² +15² -2(16)(15)(37/40) = 37

  PS = √37 ≈ 6.083

The length of PS is about 6.08 units.

_____

As the attachment shows, the problem can also be solved using a geometry app to draw the figure and make the measurement.

This is End behavior. I’m not sure how to do it. 50 Points

Answers

Answer:

The 2nd option

Step-by-step explanation:

As x approaches postive and negative infinity, y approches negavite infinity

50 POINTS!!!!!What is the correlation of the data?
A. strong, positive
B. weak, negative
C. weak, positive
D. strong, negative

Answers

Answer:

D- Strong Negative

Step-by-step explanation:

The points have correlation because they form a line. The slope of the line is negative, so the correlation is strong negative. The points would be all over the place if the correlation was weak.

The correlation of the given data is Strong and negative.

What is the correlation of data?

A statistical measure known as correlation expresses how closely two variables are related linearly (meaning they change together at a constant rate). It's a typical technique for describing straightforward connections without explicitly stating cause and consequence.

Given, points in a cartesian plane Where all points are on a Straight line that indicates the correlation is strong. Since,

To evaluate the degree of relationships between data variables, correlation coefficients are utilized. The most popular gauge of the strength and direction of a linear link between two variables is known as a Pearson correlation coefficient.

And the given line is decreasing from left to right indicating the slope of the given Data is negative. Thus the correlation of the given points is negative.

Due to the fact that the points form a line, they are correlated. The correlation is strongly negative because the line's slope is negative. If the link was poor, the points would be scattered all over the place.

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Who ever gets it right I will give Brainly and 20 points

Answers

Answer:

2 stars, 2 question marks, or two blank spaces

Step-by-step explanation:

The ATT Building (IE Batman Building) in Nashville is 614 feet tall. A model of 1 point
the building is 60 inches tall. What is the ratio of the height of the model to
the height of the actual ATT Building?*
Your answer

Answers

The ratio of the height of the model to the height of the actual ATT Building is 0.00814

Equation

An equation is an expression used to show the relationship between two or more variables and numbers.

12 inches = 1 ft.

Height of model = 60 inches = 60 inches * 1 ft per 12 in = 5 ft.

Height of  ATT Building = 614 ft.

Ratio of the height of the model to the height of the actual ATT Building = 5 ft / 614 ft = 0.00814

The ratio of the height of the model to the height of the actual ATT Building is 0.00814

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In rectangle ABCD, the diagonals AC and BD intersect at E. If AE = 2x+4 and BD = 8x - 32, then the length of AC is​

Answers

The length of the diagonal AC is equal to the length of the diagonal BD,

which is 8×10 - 32 = 48.

Response:

The length of AC is 48

Which properties of a rectangle is used to find the length the diagonal AC?

The given parameters are;

The diagonals of the rectangle are AC and BD

The point of intersection of the rectangle = Point E

AE = 2·x + 4

BD = 8·x - 32

Required:

The length of AC

Solution:

The diagonals of a rectangle bisect each other and have equal length.

Therefore;

AE = [tex]\mathbf{\frac{1}{2}}[/tex] × BD

Which gives;

[tex]2 \cdot x + 4 = \mathbf{\dfrac{1}{2} \times \left(8 \cdot x - 32\right)}[/tex]

2·x + 4 = 4·x - 16

4·x - 2·x = 4 + 16 = 20

2·x = 20

[tex]x = \dfrac{20}{2} = 10[/tex]

x = 10

AC = 2 × AE

Which gives;

AC = 2 × (2·x + 4) = 4·x + 8

The length of AC = 4 × 10 + 8 = 48

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Please solve question 6 with steps i’m having so much trouble

Answers

If you still need help just respond, I'll type it out

Maysoun drove 1116 kilometers in 12 hours. At the same rate, how long would it take her to drive 651 kilometers?

Answers

Answer:

7

Step-by-step explanation:

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