Factor the greatest common factor (GCF) from each polynomial. 81ab-90a ​

Based on the inflation rate in the United States in 1949, the cost of the car at the end of the year would be $1,470.

The cost can be found by the formula:

= Cost x (1 + inflation rate)

The inflation rate is negative so solving gives:

= 1,500 x (1 - 2%)

= $1,470

Find out more on inflation at https://brainly.com/question/777738.

Answer:

3

Step-by-step explanation:

1(8)+2(16)+3(24)+4(32) ÷ 8+16+24+32

8+32+72+128÷ 8+16+24+32 = 240÷80 = 3

Step-by-step explanation:

Using that fact that,

[tex] \cos(u) = \frac{x}{r} [/tex]

and

[tex] {r}^{2} = {x}^{2} + {y}^{2} [/tex]

We need to find sin which that formua is

[tex] \sin(u) = \frac{y}{r} [/tex]

We know what r and x is so we need to find y.

[tex] {8}^{2} = { - 3}^{2} + {y}^{2} [/tex]

[tex]64 = 9 + {y}^{2} [/tex]

[tex]55 = {y}^{2} [/tex]

[tex] \sqrt{55} = y[/tex]

Sin is positve on the interval pi/2 to pi. so we get

[tex] \sin(u) = \frac{ \sqrt{55} }{8} [/tex]

b.

[tex] \tan(u) = \frac{y}{x} [/tex]

so

[tex] \tan(u) = - \frac{ \sqrt{55} }{3} [/tex]

c.

[tex] \sec(u) = \frac{r}{ x} [/tex]

[tex] \sec(u) = - \frac{8}{3} [/tex]

d.

[tex] \sin(2u) = 2 \sin(u) \cos(u) [/tex]

[tex]2 ( \frac{ \sqrt{55} }{8} )( - \frac{3}{8} ) = \frac{ - 6 \sqrt{55} }{64} = \frac{ - 3 \sqrt{55} }{32} [/tex]

e.

[tex] \cos {}^{} (2u) = \cos {}^{2} (u) - \sin {}^{2} (u) [/tex]

[tex]( \frac{ - 3}{8} ) {}^{2} - ( \frac{ \sqrt{55} }{8} ) {}^{2} = \frac{ - 46}{64} = - \frac{23}{32} [/tex]

Answer:

The answer is 234

Step-by-step explanation:

Hope it helps

Answer:

[tex]2(3) {}^{x} [/tex]

Step-by-step explanation:

[tex]y = ab {}^{x} [/tex]

We know that when x=1, y=6

[tex]6 = a {b}^{1} [/tex]

x=2, y=18

[tex]18 = a {b}^{2} [/tex]

Notice that if we divide

[tex] \frac{ {ab}^{2} }{ab} = b[/tex]

So if we divide 18 and 6, that will give us our common ratio.

[tex] \frac{18}{6} = 3[/tex]

So our common ratio is 3.

So know we have

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

Plug in one of the points to find a.

[tex]6 = a(3)[/tex]

[tex]a = 2[/tex]

So the equation. we have

[tex]2 \times ({3}^{x} )[/tex]

Solution:

Note that:

Simplify the equation to find x.

Add 10 both sides.

Subtract 3x both sides.

Divide 3 both sides.

Answer:

Step-by-step explanation:

opposite angles = equal angles

we solve with a proportion

3x + 50 = 6x - 10

50 + 10 = 6x - 3x

60 = 3x

x = 60 : 3

x = 20

Answer:

m∠R = 60°

explanation:

Let the angle be x,

x + x + 60° = 180°

2x = 180° - 60°

2x = 120°

x = 60°

Answer:

Step-by-step explanation:

Sum of interior angles in a triangle = 180degree

PQ=QR so triangle PQR is an isosceles triangle

The two base angles of an isosceles triangle are equal

So <R = <P

m<R + m<P + 60degree = 180degree

m<R = (180-60)/2 = 60degree

Answer:

Photography is when you take photo's with style or just take photo's.

Step-by-step explanation:

Answer:

$ 3.75

Step-by-step explanation:

divide 10.50 by 2.8 which gives us 3.75

Answer:

B $ 3.75

Step-by-step explanation:

hope it helps you

The ratio of the number of bottles of coke sfiso buys to cupcakes is 3 :5.

Ratio expresses the relationship between two or more numbers. It shows the number of times that one value is contained within another value. The sign used to represent ratios are :.

Ratio of coke bottles to cupcakes = 36 : 60

= 3 : 5

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Answer:

37.68 yards

Step-by-step explanation:

Circumference = π x diameter

So if you pull in the numbers to the formula...

circumference = 12 x 3.14

37.68 = 12 x 3.14

The fact family like equations are 2 × 9 = 18 and 18 ÷ 9 = 2.

A fact family is a group of math equations that shows the relationship between the numbers involved. There are addition and subtraction fact family as well as division and multiplication fact family.

Hence:

2 × 9 = 18 and 18 ÷ 9 = 2 shows a fact family.

Find out more on fact family at: https://brainly.com/question/1250189

Answer:

[tex]u\cdot v=32[/tex]

Step-by-step explanation:

Assuming [tex]u[/tex] and [tex]v[/tex] are vectors, their dot product is [tex]u\cdot v[/tex] where [tex]u_1v_1 + u_2v_2[/tex]:

[tex]u\cdot v=u_1v_1+u_2v_2=(2)(8)+(-8)(-2)=16+16=32[/tex]

Therefore, [tex]u\cdot v=32[/tex]

Given :

[tex]{\qquad \sf \dashrightarrow y= 4x + 1 \: –––– \sf \: (i)}[/tex]

[tex]{\qquad \sf \dashrightarrow 3x + 2y = 13 \: –––– \sf \: (ii)}[/tex]

Now, Substituing the value of y in equation (ii) :

[tex]{\qquad \sf \dashrightarrow \: 3x + 2y = 13 }[/tex]

[tex]{\qquad \sf \dashrightarrow \: 3x + 2(4x + 1) = 13 }[/tex]

[tex]{\qquad \sf \dashrightarrow \: 3x + 8x + 2 = 13 }[/tex]

[tex]{\qquad \sf \dashrightarrow \: 11x + 2 = 13 }[/tex]

[tex]{\qquad \sf \dashrightarrow \: 11x = 13 - 2 }[/tex]

[tex]{\qquad \sf \dashrightarrow \: 11x = 11 }[/tex]

[tex]{\qquad \sf \dashrightarrow \: x = \dfrac{11}{11} }[/tex]

[tex]{\qquad \sf \dashrightarrow \bf \: x = 1 }[/tex]

Now, substituting the value of x in equation (i) :

[tex]{\qquad \sf \dashrightarrow y= 4x + 1}[/tex]

[tex]{\qquad \sf \dashrightarrow y= 4(1) + 1}[/tex]

[tex]{\qquad \sf \dashrightarrow y= 4 + 1}[/tex]

[tex]{\qquad \bf \dashrightarrow y= 5}[/tex]

Answer:

3 packs of sodas would need to be bought.

Step-by-step explanation:

6  x 2 = 12 which isn't enough

6 x 3 = 18 which is more than enough

Answer:

Step-by-step explanation:

4x + y = - 1 -------------(I)

-5x - 2y = -4 -----------(II)

Multiply the equation (I) by 2 and then add the equations.

(I)*2        8x + 2y = -2

(II)          -5x - 2y = -4  {Now add and y will be eliminated}

             3x         = -6

                       x = -6/3

x = -2

Substitute x = -2 in equation (I)

4*(-2) + y = -1

-8     + y = -1

          y  = - 1 + 8

           y = 7

Answer:

(-2, 7)

Step-by-step explanation:

4x + y = -1

-5x - 2y = -4

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

2(4x + y = -1) = 8x + 2y = -2

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

8x + 2y = -2

-5x - 2y = -4

3x = -6

÷3   ÷3

x = -2

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

4(-2) + y = -1

-8 + y = -1

+8          +8

y = 7

I hope this helps!

Answer:

C. 27

Step-by-step explanation:

Arc length = fraction of the circle * circumference

Arc length = fraction of the circle * 2 * pi *r

3/4 pi  = fraction of the circle * 2 * pi *5

3/4 pi  = fraction of the circle *10 pi

Divide each side by 10pi

3/4 pi

-------- = fraction of a circle

10 pi

3/40 = fraction of a circle

A circle is 360 degrees

3/40 = x/360

Multiply by 360

3/40 *360 = x

27 = x

Move everything to one side and factorize by grouping.

x⁴ - 4 = x³ + 2x

x⁴ - x³ - 2x - 4 = 0

(x⁴ - 4) - (x³ + 2x) = 0

(x² - 2) (x² + 2) - x (x² + 2) = 0

(x² - x - 2) (x² + 2) = 0

(x - 2) (x + 1) (x² + 2) = 0

Then

x - 2 = 0   or   x + 1 = 0   or   x² + 2 = 0

x = 2   or   x = -1   or   x² = -2

If x is real, then the third case has no solution. Then x = 2 or x = -1. Otherwise, we can solve over the complexes and include x = ± √2 i where i = √(-1).

Answer:

10

Step-by-step explanation:

g(f(x)) = g(3x² - 4) = 2(3x² - 4) - 6

so

g(f(2) = 2(3*2² - 4) - 6 = 2*8 - 6 = 16 - 6 = 10

Answer:

8

Step-by-step explanation:

I simplified the fraction into a decimal (2.5) then proceeded to multiply it by 8 to compensate for each bag of chips.

Answer:

B

Step-by-step explanation:

because 4 plates multiplied by 9 equals 56 and 5x9=45. Therefore you need to multiply both 6 and 7 by 9 to get your answer. I hope I'm right. :)

Answer:

Please read below.

Step-by-step explanation:

P(event)= favorable outcomes / total outcomes

0.84 * 100 = 84

100 - 84 = 16

84 favorable outcomes

16 unfavorable outcomes

100 total outcomes

Therefore there is a 84% chance of it happening.

Therefore there is a 16% chance of it not happening.

P(event) = 84/100

8.4 out of 10

Describe it how ever you want. 8.4 out of 10 is a pretty good bet to me. I would put my money on it. There isn't a lot of context to the question. But, I hope this helps!

It means 840 times out of 1000 times, an event is likely to happen or in other words, there is an 84% chance of happening an event.

Probability is to measure the occurrence of an event.

It is given that

probability of an event = 84% or 0.84

This means, P(E) = 0.84

Number of favorable outcomes/ Total outcomes =84

Let us say Total outcomes are 1000

So favorable outcomes = 1000*0.84

Favorable outcomes = 840

Therefore, It means 840 times out of 1000 times, an event is likely to happen or in other words, there is an 84% chance of happening an event.

To get more about probability visit:

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Answer:

25%

Step-by-step explanation:

25% of the dolls are made with curly hair.

Answer:

4%

Step-by-step explanation:

12 / 3= 4

Answer:

-7

Step-by-step explanation:

Leading coefficient:  the number written in front of the variable with the largest degree.

If a term has two or more variables, its degree is the sum of the exponents of its variables

For  [tex]2x^2y - 7x^2y^3 + 6xy^2[/tex]

Therefore, the leading coefficient is -7 since the greatest sum of the exponents is of the second term.

[tex]\mathbb{FINAL\;ANSWER:}[/tex]

[tex]\huge\boxed{\sf{The\;coefficient\;is\;-7}}[/tex]

[tex]\mathbb{SOLUTION\;WITH\;STEPS:}[/tex]

Hi! Hope you are having a nice day!

The leading coefficient of the given polynomial is -7.

Why? Because the leading coefficient is the number written before the variable with the largest exponent.

In this case, it's -7, because it's written next to a term that's cubed, and that's the largest exponent in the polynomial.

Also, if a term has two variables (or more) then we add the exponents in that term in order to get the degree of the term.

In this case, it's 5.

Hope you could understand everything.

#CarryOnLearning

Answer:

D. (2, -1)

Step-by-step explanation:

Step-by-step explanation:

74-25 is not equal to 59 the correct answer is 74-25=49