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3 years ago

Their sum is −7 and their difference is 14 what are my numbers

Mathematics

1 answer:

Mashcka [7]3 years ago

8 0

Answer:

Answer: 3 1/2 and -10 1/2 are the two numbers.

Step-by-step explanation:

Let x and y be the two unknown numbers.

x+y=-7 [Given]

x-y=14 [Given]

x=y+14 [Add y to both sides]

x+y=-7 [Given]

(y+14)+y=-7 [Subtitution]

2y+14=-7 [Combine like terms]

2y=-21 [Subtract 14 from both sides]

y=-21/2 [Divide both sides by 2]

y=-10 1/2 [Division]

x-y=14 [Given]

x=y+14 [Add y to both sides]

x=-10 1/2 + 14 [Substitution]

x= 3 1/2 [Addition]

Check:

x+y=-7 [Given]

3 1/2 + -10 1/2?=-7 [Substition]

-7=-7 [Addition]

QED

x-y=14 [Given]

3 1/2 - -10 1/2?=14 [Substitution]

3 1/2 + 10 1/2?=14 [Change the sign of the subtrahend and add]

14=14 [Addition]

QED

Answer: 3 1/2 and -10 1/2 are the two numbers.

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4 years ago

Let f(x) = 3x + x², find f(4).

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4 years ago

Read 2 more answers

Jenna knits scarves and then sells them on Etsy, an online marketplace. Let C(x) = 4x + 20 represent the cost C in

Alex Ar [27]

Answer:

Step-by-step explanation:

We are given that Jenna knits scarves and sells them on Etsy an online market place.

$C(x)=4x+20$

Where C=Represents the cost in dollars

x=Number of scarves

We have to create a table to show the relationship between the number of scarves x and the cost C

Substitute x=1

$C(1)=4(1)+20=$ $24

Substitute x=2

$C(2)=4(2)+20=$ $28

$C(3)=4(3)+20=$ $32

$C(4)=4(4)+20=$ $36

$C(5)=4(5)+20=$ $40

$C(6)=4(6)+20=$ $44

3 0

3 years ago

The number of boxes of food that six volunteers collected for the food drive is given in the table below.

shutvik [7]

Answer:

The mean absolute value is 7.7, when rounded to the nearest tenth.

Step-by-step explanation:

1.) To get the mean absolute deviation you have to find the mean first:

32 + 35 + 20 + 16 + 28 + 13 = 144 ÷ 6 = 24

2.) Then, you have to find the difference of each element in your data set that is away from the mean. Then, you have to find the absolute values of the answers:

32 - 24 = | 8 | → 8
35 - 24 = | 11 | → 11
20 - 24 = | -4 | → 4
16 - 24 = | -8 | → 8
28 - 24 = | 4 | → 4
13 - 24 = | -11 | → 11

3.) Then, you have to find the mean of the absolute values:

8 + 11 + 4 + 8 + 4 + 11 = 46 ÷ 6 = 7.6666666666666666666666666666667‬ = 7.7

3 0

4 years ago

4x squared + 29x + 30=0

saveliy_v [14]

So for this equation we're going to complete the square.

Firstly, what two terms have a product of 120x^2 and a sum of 29x? 24x and 5x. Replace 29x with 24x + 5x: $4x^2+24x+5x+30=0$

Next, factor 4x^2 + 24x and 5x + 30 separately. Make sure that they have the same quantity inside the parentheses: $4x(x+6)+5(x+6)=0$

Now you can rewrite the equation as: $(4x+5)(x+6)=0$

Now using zero product property, solve for x:

$4x+5=0\\ 4x=-5\\ x=-1.25\\ \\ x+6=0\\ x=-6$

In short, x = -1.25 and -6

8 0

4 years ago