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lukranit [14]
3 years ago
10

The quotient of two numbers is 4, and the difference is 3. What are the two numbers

Mathematics
1 answer:
Pie3 years ago
6 0

Answer:

The numbers are 4 and 1

Step-by-step explanation:

Let x and y be the numbers

Quotient is division

x/y = 4

x-y =3

Taking the first equation and multiplying each side by y

x = 4y

Replacing into the second equation

4y -y = 3

3y = 3

Divide by 3

3y/3 = 3/3

y=1

Now we can find x

x -y =3

x-1 =3

Add 1 to each side

x= 4

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Use Pascal’s Triangle to determine the second term of the expansion of (x + 2)^4.
denis23 [38]

Answer: 10x³

<u>Step-by-step explanation:</u>

n=0                                  1

n=1                                1  2 1

n=2                             1  3  3  1

n=3                           1  4  6  4  1

n=4                         1  5 10 10 5  1

The second term of the expansion is: 5(a)³(b)

= 5(x)³(2)

= 10x³

5 0
3 years ago
Write the coordinates of the vertices after a reflection over the x-axis. 1072
Liula [17]

The reflection about x-axis results in same x coodinate with oppositive of y coordinate. It can be expressed as,

(x,y)\rightarrow(x,-y)

Determine the coordinates of the vertices after reflection over the x-axis.

Q(6,-8)\rightarrow Q^{\prime}(6,8)R(7,-8)\rightarrow R^{\prime}(7,8)S(7,-5)\rightarrow Q^{\prime}(7,5)T(6,-5)\rightarrow T^{\prime}(6,5)

6 0
1 year ago
A small farm field is a square measuring 320 ft on a side. What is the perimeter of the field? If you double the length of each
Marina CMI [18]

Answer:

old per: 1280

new per:2560

Step-by-step explanation:

first perimeter u get it by adding all the sides and since its a square  then all the sides are equal so u can just do

320*4 which is equal to 1280

and by doubling the sides u can just double it in the old equation meaning

(320*2)*4

which is equal to 2560

6 0
3 years ago
Read 2 more answers
Which of the following numbers are greater than or equal to 4/7? Is it 2/5, 0.57, or 2/3. Use explanation why.
Sergeeva-Olga [200]

Answer:

2/3

Step-by-step explanation:

2/5=0.4 and 4/7=0.571428

0.57<0.571428

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

2/3=0.6667

which is greater than or equal to 4/7

5 0
3 years ago
Which equation shows how (-10,8) can be used to write the equation of this line in point-slope from?
NeTakaya

Options :

y – 8 = –0.15(x – 10)

y + 8 = –0.15(x – 10)

y – 8 = –0.2(x + 10)

y + 8 = –0.2(x – 10)

Answer:

y – 8 = –0.2(x + 10)

Step-by-step explanation:

(-10, 8)

General equation in point - slope form:

y - y1 = m(x - x1)

m = slope

Given the points : ( - 10, 8)

x1= - 10 ; y1 = 8

y - y1 = m(x - x1)

Substitute the values of x and y into the equation :

y - 8 = m(x - - 10)

y - 8 = m(x + 10)

The best option which fits is :

y – 8 = –0.2(x + 10)

6 0
3 years ago
Read 2 more answers
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