maggie’s brother is 3 years younger than twice her age. The sum of their age is 24. How old is Maggie

Answer:

a = 15/2, b = 2/5

Step-by-step explanation:

For a system of two linear equations to have infinitely many solutions, the equations must be equivalent to one another.  

Assuming a and b to be constants, and since b is absent from equations, there must be a typo where b was mistaken for a 6.

Modified equations:

2a - 15x + 3y - 5 = 0 ...................(1)

3x + (b - 1)y - 2 = 0 .....................(2)

rearrange equations to standard form:

-15x + 3y + 2a-5 = 0  .................(1a)

3x + (b-1)y -2 = 0 ........................(2)

To equalize the coefficient of x, multiply (2) by -5

-15x - 5(b-1) y +10 = 0  ................(2a)

Subtract (2a) from (1a)

3y + 5(b-1)y + 2a-5 -10 = 0  ..............(3)

For the two equations (1a) and (2a) to be identical, coeffients of y and constant term of (3) must equal zero.

3+5(b-1) = 0   .................(4)

3+5b-5 = 0

5b = 2

b = 2/5

2a-5-10 = 0 .....................(5)

a = 15/2

Answer:

B

Step-by-step explanation:

Given f(x) then f(x + k) represents a horizontal translation of f(x)

• If k > 0 then shift left by k units

• If k < 0 then shift right by k units

Here g( x) is f(x) moved 5 units right, thus

g(x) = (x - 5)² → B

Answer:

5/w -7

Step-by-step explanation:

quotient means division

5/w

less than means it comes after

5/w -7

Answer:

5/w-7

Step-by-step explanation:

First, let's write out "the quotient of a number 5 and w"

The quotient is the result from dividing two numbers. Therefore, we must divide 5 and w.

5/w

Now, let's add on "7 less than". Since it is "less than" it will come after the division. "Less" means subtract. So, subtract 7 from 5/w.

5/w-7

7 less than the quotient of a number 5 and w as an expression is: 5/w-7

Answer:

x = 2

Step-by-step explanation:

6x-1=11

Add 1 to each side

6x-1+1=11+1

6x = 12

Divide by 6

6x/6 = 12/6

x = 2

Answer:

Step-by-step explanation:

[tex]6x-1=11 \\\\Collect \: like \:terms\\\\6x = 11+1\\\\Simplify\\\\6x =12\\\\Divide\:both\:sides\:by\:6\\\\\frac{6x}{6} = \frac{12}{6}\\ x = 2[/tex]

Answer:

well i cant answr it if i oont have more inforomartion

Step-by-step explanation:

Answer:

Step-by-step explanation:

if we add 11,36,61,... to the bottom we get bottom as a multiple of numerator.

its 4

x=4

[tex]4^{2}[/tex]-2x4

16-8

=8

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                Hi my lil bunny!

    ❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

Let's solve your equation step-by-step.

[tex]x^2 - 2x = 8[/tex]

Step 1: Subtract 8 from both sides.

[tex]x^2 - 2x - 8 = 8 - 8\\x^2 - 2x - 8 = 0[/tex]

Step 2: Factor left side of equation.

[tex]( x+2) ( x - 4) = 0[/tex]

Step 3: Set factors equal to 0.

[tex]x + 2 = 0[/tex] or [tex]x - 4 = 0[/tex]

[tex]x = -2[/tex] or [tex]x = 4[/tex]

Answer : -2 , 4

     ❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

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         Have a great day/night!

                    ❀*May*❀

Answer:

12y-14

Step-by-step explanation:

we expand first and doing that we get

5y+15+7y-35+6

12y-14

2(6y-7)

Step-by-step explanation:

5(y+3) + 7(y-5) +6

5y+15+7y-35+6

5y+7y+15-35+6

12y-14

y= -14-12

y= +26

Answer:

EAT THIS ANDAD Which polynomial has (3x + 2) as a binomial factor?

6x3 + 3x2 + 4x + 2

12x2 + 15x + 8x + 10

18x3 – 12x2 + 9x – 6

21x4 + 7x3 + 6x + 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

a) 144x³y² = 2 *2*2*2* 3* 3* x³ * y² = 2⁴ * 3² * x³ * y²

 81xy⁴      = 3 * 3 * 3 * 3 * x * y⁴      =         3⁴ * x * y³

GCD is  that are in both term

Greatest common divisor = 3² * x * y² = 9xy²

b) 144x³y² - 81xy⁴ = 9xy² * 16x²y  - 9xy²*9y²

                             = 9xy²(16x²y - 9y²)

Answer:

No, the points are in a linear pattern.

Step-by-step explanation:

Residual plot is a graph that shows the residuals on the vertices. The y-axis has residual values and x-axis has independent variables. The horizontal axis shows the independent variables to determine the best fit for a set. The graph given is in a linear pattern. The random pattern shows that linear model is good fit.

Answer:

C: No, the points are in a linear pattern

Step-by-step explanation:

edg2021

I have been seeing this question with multiple different answers, and no one is sure about anything! All I can say for sure is that IT IS NOT A! So C makes the most sense. B is simply not true, and neither is D, its not curved or evenly distribute.

The first mistake is that she didn't use parenthesis to indicate we're dividing all of one thing (numerator) over all of another expression (denominator)

slope = rise/run = numerator/denominator

So she should write (17-4)/(1-8) to indicate all of "17-4" is divided over all of "1-8"

However, there's another error that your teacher is probably more focused on. Note how 17-4 represents subtracting the y coordinates from left to right. We start with the left point y coordinate 17 and subtract off the right point y coordinate 4

left y - right y = 17 - 4

But then the student swaps the order when they wrote 1-8. Instead it should be 8-1

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

Here's what they should have written (17-4)/(8-1)

This is the same as (4-17)/(1-8)

We can subtract in any order as long as it stays consistent between the numerator and denominator

Answer:

(-3 ÷ 4)x^2 + 6x

Step-by-step explanation:

Data mentioned in the question

Maximum height = 12m

Number of seconds = 8

Height = 3m

Depend on the above information, the quadratic equation is shown below:

As it took 8 seconds to hit the maximum altitude and it reverted to the ground floor, this graph also reflects the motion in parabola after 4 seconds, so that the a must be negative

Now it is given that

a × x ^ 2 + bx + c =0

We can considered that

x = 0

x = 8

As {0.8} are intercepts of x

When x = 0, then it is

a × 0 ^ 2 + b(0)  + c = 0 .................... (i)

Hence 0 = 0

Now x = 8, it is

a × 8 ^ 2 + b(8)  + c = 0

Hence a(8)^2 + b(8) + c =  0 ..................(ii)

As it can be seen that in the first equation c must be zero

Whereas the second equation is

64a + 8b = 0

i.e.

8a = -b or a = -b ÷ 8

Now according to the quadratic function, it presented

(-b ÷8)x^2 + bx + 0

So, the parabola vertex is (4, 12)

Now place this in the place of a

(-b ÷ 8)(4)^2 + b(4) = 12

And for calculating this b, all terms must be multiplied by 8

That appears

-b(16) + 32b = 96

16b = 96

So, b = 6.  

As a = -b ÷8

a = -6 ÷ 8

a = -3 ÷4

So, the equation is

= (-3 ÷ 4)x^2 + 6x

Hence, this is the equation

Answer:

Jonathan's Unit rate = 4 hr (reading/homework)/(1 hour for video games)

Lucas' Unit rate = 3 hr (reading/homework)/(1 hour for video games)

Step-by-step explanation:

The unit rate is the rate per unit of a quantity, that is the rate at which the denominator has been made a unit or one

The given parameters are;

The number of hours of homework or reading Jonathan needs to do for his parents to allow him to play video games for 30 minutes = 2 hours

The number of hours of homework or reading Lucas needs to do for his parents to allow him to play video games for 30 minutes = 1.5 hours

We note that 30 minutes = 0.5 hours

For Jonathan we have

Unit rate = (Number of hours of reading or homework)/(Number of hours playing video games)

Unit rate = (2 hours)/(0.5 hours) = 4 hours of reading or homework per hour of paying video games

Jonathan's Unit rate = 4 hr (reading/homework)/(1 hour for video games)

For Lucas we have

Unit rate = (Number of hours of reading or homework)/(Number of hours playing video games)

Unit rate = (1.5 hours)/(0.5 hours) = 3 hours of reading or homework per hour of paying video games

Lucas' Unit rate = 3 hr (reading/homework)/(1 hour for video games).

Answer:

142 cm^2

Step-by-step explanation:

Okay, we can first break this down into 3 different rectangles.

3 x 5 rectangle

16 x 7 rectangle

3 x 5 rectangle.

From here, we just multiply these out and add them. 15 + 15 + 112 = 142. So our answer is 142 cm^2  

Answer:

142 cm²

Explanation:

to find the surface area, you need to find the area of all of the boxes within the image above add them all together.

Starting in the middle row and working from left to right it is,

7×3+7×5+7×3+7×5

21+35+21+35=112

Than the bottom and top box is

3×5+5×3

15+15=30

Than you add both of them together,

112+30=142

Answer:

A. Regular pyramid

Step-by-step explanation:

If it has a vertex over the centre of the base, it has to be a pyramid.

Also, since the base is a regular polygon, the solid is a regular pyramid.

Answer:

The correct answer is

Step-by-step explanation:

Regular pyramid: A regular pyramid has a regular polygon base and a vertex over the center of the base.

Hope this helps....

Have a nice day!!!!

Answer:

[tex]\huge\boxed{9}[/tex]

Step-by-step explanation:

[tex]\sf (2^8 * 3^{-5} * 6^0)^{-2 } (\frac{3^{-2}}{2^3} )^4*2^{28}[/tex]

Rule of exponents [tex]a^0 = 1[/tex] , [tex]1/a^m = a^{-m}[/tex]

=> [tex]\sf 2^{8*-2} * 3 ^{-5*-2} * 3 ^{-2}* 2^{-3*4} * 2^{28}[/tex]

=> [tex]\sf 2 ^ {-16} * 3^{10} * 3^{-8} * 2 ^{-12}* 2^{28}[/tex]

Combining same bases

=> [tex]\sf 2 ^ {-16} * 2 ^{-12}* 2^{28}* 3^{10} * 3^{-8}[/tex]

When bases are same , powers are to be added

=> [tex]\sf 2 ^{-16-12+28} * 3^{10-8}[/tex]

=> [tex]\sf 2^{-28+28} * 3^2[/tex]

=> [tex]\sf 2^0 * 3^2[/tex]

=> [tex]\sf 3^2[/tex]

=> 9

Answer:

The amount (revenue) she makes in the third month to break even is $97

Step-by-step explanation:

The given parameters are;

The cost of the app = Initial cost + fees for producing the app

The amount she loss in the first month = Cost of the app - revenue = $324

The amount she loss in the second month = Loss from first month - revenue in second month = $324 - revenue in second month = $97

The amount Whitney has to make in the third month to break even  is therefore;

The amount she makes in the third month to break even is given by the equation;

Revenue from third month - Loss from second month = 0

Which gives;

The amount she makes in the third month to break even is given by Revenue from third month - $97 = 0

∴ Revenue from third month = $97

The amount (revenue) she makes in the third month to break even = $97

Answer:

  10x

Step-by-step explanation:

The height on the left is the same as the height on the right:

  (2x -y) +(y) = (2x)

  2x = 2x . . . . . not particularly helpful

The width across the top is the same as the width across the bottom:

  3x = (y) +(4x -2y)

  y = x . . . . . . . . add y-3x to both sides

The perimeter is the sum of side lengths. Working clockwise from the top, that is ...

  P = 3x +2x +(4x-2y) +y +y +(2x -y) = 11x -y = 10x

The perimeter is 10x. (or 10y, if you like)

Answer:

1. u = 2, v = -1.5

2. y = -7, x = -3

Step-by-step explanation:

1) For the following simultaneous equation, we have;

5·u + 2·v = 7....................(1)

2·u - 2·v = 7......................(2)

Adding equation (1) to equation (2), gives;

5·u + 2·v + 2·u - 2·v = 14

5·u + 2·u + 2·v- 2·v   = 14

7·u = 14

u = 14/7 = 2u = 2

u = 2

From equation (1), we have;

5·u + 2·v = 7 substituting u = 2 gives;

5×2 + 2·v = 7

2·v = 7  - 5×2 = 7 - 10 = -3

v = -3/2 = -1.5

v = -1.5

2.

3·x - 4·y = 19....................(1)

4·x - 5·y = 23.......................(2)

Multiplying  equation (1) by 4 and equation (2) by 3 gives;

For equation (1)

4 × (3·x - 4·y) = 4 ×19

12·x - 16·y = 76...........................(3)

For equation (2)

3 × (4·x - 5·y) = 3 × 23

12·x - 15·y = 69...........................(4)

Subtracting equation (3) from equation (4) gives;

12·x - 15·y - (12·x - 16·y) = 69 - 76 = -7

12·x - 15·y - 12·x + 16·y = 69 - 76 = -7

12·x - 12·x - 15·y + 16·y = -7

y = -7

Substituting the value of y = -7 in equation (1), we have;

3·x - 4·y = 19 = 3·x - 4×(-7) = 19

3·x - 4×(-7) = 19

3·x + 28 = 19

3·x = 19- 28  = -9

x = -9/3 = -3

x = -3.

Steps to find MAD:

Step 1. Calculate mean([tex]\overline{x}[/tex]) of the data using formula: [tex]\overline{x}=\dfrac{\sum x}{n}[/tex] ,  where x denotes data points and n is the number of data points.

Step 2. Calculate distance of each data point from mean :

Distance = [tex]|x-\overline{x}|[/tex]

Step 3. Divide  distance of each data point from mean by n:

MAD = [tex]\dfrac{\sum |x-\overline{x}|}{n}[/tex] , which is the final computation to find MAD.

Answer:

Step-by-step explanation:

(1/3)*(3/5)*(5/7)*.......*(93/95) * (95/97) * (97/99)

The denominator of each fraction will cancel out the numerator of the next fraction.

Take a close look

Therefore the result is 1/99

HOPE IT HELPS!!

The product of the geometric series  is 1/99.

The product is a geometric series with first term 1/3 and common ratio 2/3. The number of terms is 49. The sum of the series is 1/99.

Here's the explanation:

A geometric series is a series where each term is multiplied by a constant value to get the next term. The constant value is called the common ratio.

In this case, the first term is 1/3 and the common ratio is 2/3. This means that each term is multiplied by 2/3 to get the next term.

The number of terms in the series is 49. This means that there are 49 terms in the series, starting with 1/3 and ending with 97/99.

The sum of the series is 1/99. This can be found using the formula for the sum of a geometric series:

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

where a is the first term, r is the common ratio, and n is the number of terms.

In this case, a = 1/3, r = 2/3, and n = 49. Substituting these values into the formula, we get:

S = (1/3) × (1 - (2/3)49) / 1 - (2/3) = 1/99

Therefore, the product is 1/99.

Learn more about geometric series  here: brainly.com/question/30264021

#SPJ2

Answer:

1/16   2/16  3/16  4/16  5/16  6/16  7/16  8/16 9/16 10/16  11/16 12/16

Step-by-step explanation:

Para la identificación de las brocas tenemos dos consideraciones:

1.- Fracciones de igual denominador son mas grandes en orden creciente según vayan creciendo los numeradores, de tal forma que entre

9/16   3/16    7/16     5/16   11/16    el orden es como sigue ( de menor a mayor)

3/16     5/16     7/16     9/16     11/16

2.- Las fracciones con denominadores distintos pueden llevarse a denominador común /16  amplificando la fracción es decir por ejemplo

1/4   =  1*4/4*4   =  4/16

Con ese procedimiento las convertimos todas al caso señalado en el punto anterior y ordenamos

1/4   = 4/16

3/8  = 6/16

1/2  = 8/16

5/8 =  10/16

1/8  =  2/16

Entonces hay diez brocas la primera será 1/16 y la número 12   12/16

Y finalmente el orden es:

1/16   2/16  3/16  4/16  5/16  6/16  7/16  8/16 9/16 10/16  11/16 12/16

Answer:

  −3x^8 + 9x^2 + 10x

Step-by-step explanation:

A polynomial is in standard form when the exponents of the variable decrease left to right. The only given expression in that form is ...

  −3x^8 + 9x^2 + 10x

Step-by-step explanation:

csc(4x) − 2 = 0

csc(4x) = 2

sin(4x) = 1/2

In radians:

4x = π/6 + 2kπ, 5π/6 + 2kπ

x = π/24 + kπ/2, 5π/24 + kπ/2

In degrees:

4x = 30° + 360°k, 150° + 360°k

x = 7.5° + 90°k, 37.5° + 90°k

Answer:

Quaterly

Step-by-step explanation:

Answer:

Speed of train A is 44 miles/hr.

Step-by-step explanation:

Let the speed of train A = [tex]u\ miles/hr[/tex]

Let the speed of train one = [tex]v\ miles/hr[/tex]

Train A travels at [tex]\frac{4}{5}^{th}[/tex] the speed of train one.

i.e.

[tex]u = \dfrac{4}{5}v \\\Rightarrow v =\dfrac{5}{4}u.... (1)[/tex]

Distance traveled = 693 miles

Time taken = 7 hours

They are travelling in opposite directions so the resultant speed will appear to be faster.

Relative speed = [tex]u+v\ miles/hr[/tex]

The trains are 693 miles apart in 7 hours that means they have traveled a total distance of 693 miles in 7 hours with a speed of ([tex]u+v[/tex]) miles/hr.

Using the formula:

[tex]Speed = \dfrac{Distance}{Time}[/tex]

[tex]u+v = \dfrac{693}{7}\\\Rightarrow u+v=99 ...... (2)[/tex]

Putting the value of v using equation (1):

[tex]\dfrac{5}4u+u=99\\\Rightarrow 5u+4u = 99 \times 4\\\Rightarrow 9 u = 99 \times 4\\\Rightarrow u = 11 \times 4 = \bold{44\ miles/hr}[/tex]

Speed of train A is 44 miles/hr.

Answer: There are 17 quarters.

Step-by-step explanation:

Let x = Number of quarters and  Number of nickels =x+16

∵ 1 nickel = $0.05, 1 quarter = $0.25

value of x quarters = 0.25 x

value of x+16  nickels = 0.05(x+16)

Then, as per given,

[tex]0.05(x+16)+0.25 x= 5.90 \\\\\Rightarrow\ 0.05x+0.8+0.25x=5.90\\\\\Rightarrow\ 0.30x=5.9-0.8\\\\\Rightarrow\ 0.30x=5.1\\\\\Rightarrow\ x=\dfrac{5.1}{0.30}=\dfrac{51}{3}\\\\\Rightarrow\ x=17[/tex]

Hence, there are 17 quarters.

Answer:

y = -3/4x-5/2 and y = 2/3x-1/3

Step-by-step explanation:

y+1 = -3/4(x+2)

y+1 = -3/4x-3/2

y = -3/4x-3/2-1

y = -3/4x-5/2

-----

y-3 = 2/3(x-4)

y-3 = 2/3x-8/3

y = 2/3x-8/3+3

y = 2/3x-1/3

Answer:

y =  4  or y = 6

Step-by-step explanation:

2log4y - log4 (5y - 12) = 1/2

​2log_4(y) - log_4(5y-12) = log_4(2)           apply law of logarithms

log_4(y^2) + log_4(1/(5y-12)) = log_4(/2)    apply law of logarithms

log_4(y^2/(5y-12)) = log_4(2)                     remove logarithm

y^2/(5y-12) = 2                                            cross multiply

y^2 = 10y-24                                                  rearrange and factor

y^2 - 10y + 24 = 0

(y-4)(y-6) = 0

y= 4 or y=6

Answer:

False

Step-by-step explanation:

False - one has nothing to do with the other. None of the data points can lie on the regression line,

and you can have the coeff. of determination be 0.5.