what is (x+3)(x-1) equal to

Answer:

5a²+22a+8

Step-by-step explanation:

(5a+2)(a+4)

5a² + 20a + 2a + 8

5a² + 22a + 8

Answer:

if minus is part of the question:

-(5a^2+22a+8)=-5a^2-22a-8

if not then:5a^2+22a+8____ a tip: make the question clear next time...good luck!

Answer:

Angle Rome to Paris = 44.68°

Angle Paris to Berlin = 71.26°

Angle Berlin to Rome = 64.06

Step-by-step explanation:

See attachment for diagram illustration for this.

Let represent distance from Rome to Paris as a, distance from Paris to Berlin as b, and distance from Berlin to Rome as c.

Therefore we say

a = 697miles, b = 545miles, c = 734miles

To find the respectively angle formed from, Berlin to Paris to Rome, we will apply the cosine rule, which states that:

c² = a² + b² - 2abCosC

734² = 697² + 545² - 2(697*545)cosC

2(697*545)cosC = 697² + 545² - 734²

759739 cosC = 244078

cosC = 244078/759739

cosC = 0.3212

C = cos-¹0.3212

C = 71.26°

To get angle B, we will apply the sine rule, which states that:

a/sineA = b/sineB = c/sineC

Therefore we have

545/sineB = 734/sine71.26

= 545/sineB = 734/0.947

= 545/sineB = 734/0.947

= 545/sineB = 775.08

SineB = 545/775.08

B = sine-¹0.7032

B = 44.68°

Angle A = 180 - (B+C) angle in a triangle

A = 180 - (44.68 + 71.26)

A = 180 - 115.94

A = 64.06°

A = 64.06°

B = 44.68°

C = 71.26°

Angle Rome to Paris = 44.68°

Angle Paris to Berlin = 71.26°

Angle Berlin to Rome = 64.06°

Answer:

Step-by-step explanation:

The movement of the airplane can be represented using a triangle. In Triangle PRB, we are required to find Angles P, R and B.

Using Law of Cosines

[tex]cos R=\frac{p^2+b^2-r^2}{2pb} \\cos R=\frac{734^2+697^2-545^2}{2*734*697}\\R=arcCos\left(\frac{734^2+697^2-545^2}{2*734*697}\right)\\R=44.68^0[/tex]

Using law of Sines

[tex]\frac{r}{sin R}=\frac{p}{SIn P} \\\frac{545}{sin 44.68}=\frac{734}{Sin P} \\\text{Cross Multiply}\\545 X Sin P=734 X sin 44.68\\Sin P=\frac{734 X sin 44.68}{545} \\P=arcSin\left(\frac{734 X sin 44.68}{545}\right)\\P=71.26^0[/tex]

Now,

P+R+B=180 degrees (Sum of Angles in a Triangle)

[tex]71.26^0+44.68^0+B=180^0\\B=180^0-[71.26^0+44.68^0]\\B=64.06^0[/tex]

Answer: C

Step-by-step explanation:

Took the test

Answer:

an=0.8x0.9n-1

Step-by-step explanation:

Answer:

2000,400,80,16, = missing answer is 3.2

This is because everything on the linear

declines by dividing y by 5 for x = 3.2 * 5

so for rate of change = 5/3.2 = 1.56

An expression for y = y- 64 = 2 2 8 X - 63. (0,12)

or y = y-5 = - 3x -1  

which = 3.2 -5 = -2.8 x 5  = -14

Step-by-step explanation:

Answer:

39°

sum of triangle's interior angles: 180°

180°-90°-51°=39°

Answer:

The second one

Step-by-step explanation:

Answer:

25.

Step-by-step explanation:

If an expression is  

[tex]x^2+bx[/tex]

then we have to add [tex](\frac{b}{2})^2[/tex], to make it perfect quare.

The given expression is

[tex]x^2+10x[/tex]

Here, b=10.

[tex](\frac{b}{2})^2=(\frac{10}{2})^2=5^2=25[/tex]

Now,

[tex]x^2+10x+25=x^2+2x(5)+5^2=(x+5)^2[/tex]

Therefore, we need to add 25 to make it perfect square.

Answer:

4

Step-by-step explanation:

4 because 11x4=44

Flippin Middle School can buy at most 4 workbooks if it has $44 to spend.

To determine the maximum number of workbooks that Flippin Middle School can buy with $44, we need to divide the total amount of money available by the cost of each workbook.

Let's denote the number of workbooks that can be bought as [tex]\( W \)[/tex], and we know that each workbook costs $11. Therefore, the total cost for [tex]\( W \)[/tex] workbooks would be [tex]\( 11W \)[/tex].

Given that the school has $44 to spend, we can set up the following inequality to find the maximum number of workbooks that can be purchased:

[tex]\[ 11W \leq 44 \][/tex]

Now, we divide both sides of the inequality by 11 to solve for [tex]\( W \)[/tex]:

[tex]\[ W \leq \frac{44}{11} \][/tex]

[tex]\[ W \leq 4 \][/tex]

Since [tex]\( W \)[/tex] must be a whole number because one cannot buy a fraction of a workbook, the maximum number of workbooks that Flippin Middle School can buy is 4.

Answer:

5,6,11

Step-by-step explanation:

Answer:

A 5, 6, 11

Step-by-step explanation:

1/5, 7/10, 4/5 you need to change the denomenator

The seats are arranged in 5040 ways, if 7 people sit in seats labeled A, B, C, D, E, F, G.

Step-by-step explanation:

The given is,

                 7 people sit in seats labeled A, B, C, D, E, F, G.

Step: 1

               No.of people = 7

               No. of seats labeled = 7

               Formula to calculate the number of ways to arrange,

                                      [tex]P_{n} = n![/tex]...................................(1)

               Where, n - Positive integer

Step: 2

               From given, n = 7

               Equation (1) becomes,

                                      [tex]P_{7} = 7![/tex]

                                            = 7 × 6 × 5 × 4 × 3 × 2 × 1

                                            = 5040

                                            = 5040 ways

Result:

         The seats are arranged in 5040 ways, if 7 people sit in seats labeled A, B, C, D, E, F, G.    

Answer:

4 + 3x

Step-by-step explanation:

Answer:

It will become narrower/steeper

Step-by-step explanation:

To find out how the new parabola will behave, just substitute in numerous values for a and x.

Then compare this to the original graph and you will clearly be able to distinguish the differences between the two graphs.

The equation of the new parabola is y = ( 2a )x² and the parabola will become narrower or steeper

What is a Parabola?

A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line

The equation of the parabola is given by

( x - h )² = 4p ( y - k )

where ( h , k ) is the vertex and ( h , k + p ) is the focus

y is the directrix and y = k – p

The equation of the parabola is also given by the equation

y = ax² + bx + c

where a , b , and c are the three coefficients and the parabola is uniquely identified

Given data ,

Let the equation of the first parabola be

y = ax²   be equation (1)

The parabola is graphed in green below

Now , a is positive integer when multiplied by 2 , we get

y₁ = ( 2a )x²   be equation (2)

The equation (2) represents the equation of the new parabola

The parabola is graphed in red below

So , from the graph , we can see that the parabola has become narrower

Hence , the equation of the parabola is y₁ =  ( 2a )x²

To learn more about equation of parabola click :

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Answer:

All real numbers greater than 0

Step-by-step explanation:

A function assigns values. The range of the function will be all real numbers greater than 0.

A function assigns the value of each element of one set to the other specific element of another set.

As we can see in the function x can take up any value from -∞ to +∞. Although the value of eˣ will still be positive for any value of x.

Thus, the range of the function will be all real numbers greater than 0.

Learn more about Function:

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Answer:

No

Step-by-step explanation:

The ratio 19:15 is equivalent to 19/15

19/15=1.26666

The ratio 4:3 is equivalent to 4/3

4/3=1.33333

1.26666 is not equal to 1.3333, so the ratios are not equivalent

Hope this helps! :)

Answer:

no

Step-by-step explanation:

cross multiply to check

19/15 and 4/3

multiply 19 x 3=57

multiply 4 x 15=60

since 57 and 60 aren't equal to each other then the ratios aren't equivalent

Answer:

Nick needs to buy 3 packs.

Step-by-step explanation:

If Nick buys 3 packs he will have 18 cards. If he uses 15 of them he will have 3 left over. If he only bought 2 packs he would be 3 cards short of the amount he really needed.

Answer:

Nick needs to buy 3 packs because if he buys 2 packs he'll have 12 cards which won't be enough. He will have an extra 3 cards remaining.

Answer:

See below

Step-by-step explanation:

Given: y-5≥8

Add 5 to both sides: y≥13

So any real number that is equal to 13 or above will be a solution for y.

Answer:

y>=13

Step-by-step explanation:

Let's solve the given question

y-5>=8

Add 5 to both sides

y>=8+5

y>=13

Note the >= will change only if that other side is negative

But since it is positive,it still remains

y>=13

Answer:

do u need help? where is the image?

Step-by-step explanation:

when typing a question, below is a circle with a plus button, this allows to add an article, picture or a document of your work that you need anything help with. hope this helps!

The price of cable TV has increased by approximately 252.94% from 1990 to 2010.

The approximate percent increase from 1990 to 2010 can be calculated using the formula:

Percent increase = (Final value - Initial value) / Initial value * 100

To apply this formula, we first need to find the initial and final values. In this case, the initial value is the cost of cable TV in 1990, which is $17.00, and the final value is the cost in 2010, which is $60.00.

Now, let's calculate the percent increase:

Percent increase = ($60.00 - $17.00) / $17.00 * 100

= $43.00 / $17.00 * 100

≈ 252.94%

Therefore, the approximate percent increase from 1990 to 2010 is approximately 252.94%.

Answer:

[tex]a_{n}[/tex] = - 3[tex](6)^{n-1}[/tex]

Step-by-step explanation:

Note the common ratio r between consecutive terms, that is

r = - 18 ÷ - 3 = - 108 ÷ - 18 = 6

This indicates the sequence is geometric with n th term ( explicit formula )

[tex]a_{n}[/tex] = a[tex](r)^{n-1}[/tex]

where a is the first term and r the common ratio

Here a = - 3 and r = 6, thus

[tex]a_{n}[/tex] = - 3[tex](6)^{n-1}[/tex]

Answer:

9 boxes

Step-by-step explanation:

If the diameter is 12 ft then the radius is 6 ft

6ft=72 inches,Area of circle=pi*72^2,5184*pi square inches

Area covered by a box of tiles=9^2*25

number of boxes needed:5184*pi/81*25=8.0425 boxes

9 boxes.

Answer:

A 24

Step-by-step explanation:

Assuming this is a right triangle, we can use the Pythagorean theorem

a^2+ b^2 = c^2

a^2 + 7^2 = 25^2

a^2 +49= 625

Subtract 49 from each side

a^2 +49-49 = 625-29

a^2 = 576

Take the square root of each side

sqrt(a^2) = sqrt(576)

a = 24

Answer:

A

Step-by-step explanation:

C - B < A < C + B

25 - 7 < A < 25 + 7

18 < A < 32

A can have any length between 10 and 32.

In case it's a right angle triangle,

A² = 25² - 7²

A² = 576

A = 24

Answer:

10

30%

Step-by-step explanation:

In this case it would be the combination of 2 taken from 5.

That is, when n = 5 and r = 2

nCr = n! / r! * (n-r)!

replacing

5C2 = 5! / (2! * 3!)

5C2 = 10

Which means that the sample space is 10 possible combinations.

the probability that the card you draw is even is 3/5, since there are 3 even cards that exist and 5 is the total number of cards.

Now, so that both are for it would be the multiplication of the previous probability and 2/4 because an even card and a card in general have already been drawn:

(3/5) * (2/4) = 0.3

So the probability that both are even is 30%

Answer:

$265.00

Step-by-step explanation:

300*.80=240

25*1=25

240+25=265.

Answer:

The answer is $265

Step-by-step explanation:

I took this test

Answer:

What dotted line. There is no dotted line on here my friend

Step-by-step explanation:

Answer:

(22, 9)

Step-by-step explanation:

The positive difference of two integers is 13. The sum of the larger number and the square of the smaller is 103. Give your solution(s) as ordered pair (larger, smaller).    I'll call the two integers a and b.

a - b  =  13        a + b² = 103

  +b     +b

a   =  13 + b    plug this into the second equation

a + b² = 103

(13+b) + b²  = 103    subtract 103 from both sides to get one side equal to zero

-103              -103

b² + b - 90 = 0      what factors (two numbers multiply) to -90 that also add up

                             to 1? The only two that work are -9 and 10.  

(b-9)(b+10) = 0      so  b-9 = 0     or    b+10 = 0

                                     +9  +9    or       -10   -10

                                     b = 9      or    b = -10 but both numbers must be positive

b = 9  and a = 13 + b so   a = 13 + 9 = 22

(22, 9)

Answer:

Less than or equal to $80

Step-by-step explanation:

If she get $320 a month and shops 4 times a month, you have to find the unit rate. This is so that you know the maximum amount of money she can spend.

320÷4=80

She can't go above $80, but she can spend any amount under $80. Than means the amount she can spend is less than or equal to $80.

The inequality that can be used to find the possible values of x is x≤80.

Maximum budget per month =$320

Number of times Ms Sung goes to a shop a month = 4

Amount spent on each shopping trip = x

Inequality is a statement that equates to two expressions.

So, the amount spent on 4 shopping trips = 4x

The maximum amount she can spend on all trips=$320

This means, [tex]4x\leq 320[/tex]

So, [tex]x\leq 80[/tex]

Hence, the inequality that can be used to find the possible values of x is x≤80.

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