The sum of two numbers is10 . The difference is2 .
​
​Find the two numbers by creating a system of equations for the situation.
​Then, graph each linear equation.
​
​Finally, indicate the solution by marking the point of intersection.


show your answer in a graph​

Answer:

Step-by-step explanation:

After some trial and error, we can find that x = 2 is one solution to this problem. We know that then (x-2) is a solution. We can then do polynomial division to get a quadratic equation. We can then solve the quadratic equation to get the other two factors which are -1/3 and -3/2. You can also graph it and find the roots as well. There isn't a really good method to do this and it is more like trial and error.

Answer:

3rd graph

Step-by-step explanation:

Edge 2021

Answer:

3rd graph

Step-by-step explanation:

Answer:

The answer would be -16a⁴+8a³-1

The -4a² and 4a² cancel each other out so you put 1 in its place

Step-by-step explanation:

This problem is incorrect

the square root of 9 is two of the same numbers that are multiplied together to get 9 so [tex]\sqrt{9}[/tex]=3

9+1/2=9.5

Hope that helps :)

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{Your\ equation: \sqrt{9} = 9\dfrac{1}{2}}[/tex]

[tex]\mathsf{\sqrt{9} = 3^2 = 3\times \bf 3}\\\\\mathsf{\sqrt{9}= \bf 3}[/tex]

[tex]\mathsf{9\dfrac{1}{2}}\\\\\mathsf{9\times2+ 1}\\\\\mathsf{9\times2=\bf 18}\\\\\mathsf{\bold{18} + 1 = \bf 19}\\\\\mathsf{\dfrac{19}{2}=\bf 9.5}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: }\mathsf{\bf 3\neq 9.5}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

u = 23 and t = 6

Step-by-step explanation:

Given

u = 4v - 3t

(a)

u = 4(5) - 3(- 1) = 20 + 3 = 23

(b)

- 10 = 4(2) - 3t

- 10 = 8 - 3t ( subtract 8 from both sides )

- 18 = - 3t ( divide both sides by - 3 )

6 = t

Answer:

A. start absolute value negative 4 commas negative 1 end absolute value

Step-by-step explanation:

Expression could be used to find the distance between point A and point B.

Answer:

FV= $669.11

Step-by-step explanation:

Giving the following information:

Purchase price (PV)= $800

Decrease value (d)= 1.5% per year

Number of periods (n)= 12 years

To calculate the value of the card after 12 years, we need to use the following formula:

FV= PV / (1 + d)^n

FV= 800 / (1.015^12)

FV= $669.11

Answer:

12

Step-by-step explanation:

So, the 24cm, is the diameter, a little circle autonomy here, the diameter is the length across the circle, and the radius is to the mid point, or half-way point, which means that the radius is half the diameter, so, 24 ÷ 2 = 12

hope this helps:)

Answer:

Step-by-step explanation:

4) Angles opposite to equal sides are equal

45 + 45 + x = 180     {Angle sum property}

        90 +x = 180       {Subtract 90 from both sides}

               x = 180 - 90  

               x = 90

120 +y + y = 180        {Angle sum property}

      120 +2y = 180       {Subtract 120 from both sides

              2y =180 - 120

               2y = 60      {Divide both sides by 2}

                 y = 60/2

y = 30

5)All sides are equal. so this is a equilateral triangle.

So each angle of equilateral triangle = 60

4x = 60

x = 60/4

x = 15

y = 60 +60   {Exterior of triangle equal sum of opposite interior angles}

y = 120

6) All sides are equal. so this is a equilateral triangle.

So each angle of equilateral triangle = 60

y - 10 = 60    {add 10 to both side}

y = 60 + 10

y = 70

x + 5 = 60    {Subtract 5 from both sides}

x = 60 - 5

x = 55

Answer:

obtuse equilateral

Step-by-step explanation:

shapes are easy :)

Answer:

obtuse scalene      give crdit to the answer above

Answer:

9

Step-by-step explanation:

To solve this, you need to find the proportion.

p is a leg of the large triangle, and the leg to the small triangle is 6.

8 is another leg of the small triangle, and 8+4 is the leg of the large triangle.

So [tex]\frac{small triangle}{big triangle} = \frac{small triangle}{big triangle\\}[/tex]

[tex]\frac{8}{12} =\frac{6}{p}[/tex]

[tex]\frac{2}{3} =\frac{6}{p}[/tex]

cross multiply to get 2p=18

divide both sides by 2

p=9.

Answer:

[tex] \frac{1}{3} [/tex]

is your answers

hope so it is helpful to u

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use the quadratic formula to find the solutions.

−

b

±

√

b

2

−

4

(

a

c

)

2

a

-

b

±

b

2

-

4

(

a

c

)

2

a

Substitute the values

a

=

2

a

=

2

,

b

=

−

6

b

=

-

6

, and

c

=

5

c

=

5

into the quadratic formula and solve for

x

x

.

6

±

√

(

−

6

)

2

−

4

⋅

(

2

⋅

5

)

2

⋅

2

6

±

(

-

6

)

2

-

4

⋅

(

2

⋅

5

)

2

⋅

2

Simplify.

Tap for fewer steps...

Simplify the numerator.

Tap for fewer steps...

Raise

−

6

-

6

to the power of

2

2

.

x

=

6

±

√

36

−

4

⋅

2

⋅

5

2

⋅

2

x

=

6

±

36

-

4

⋅

2

⋅

5

2

⋅

2

Multiply

−

4

-

4

by

2

2

.

x

=

6

±

√

36

−

8

⋅

5

2

⋅

2

x

=

6

±

36

-

8

⋅

5

2

⋅

2

Multiply

−

8

-

8

by

5

5

.

x

=

6

±

√

36

−

40

2

⋅

2

x

=

6

±

36

-

40

2

⋅

2

Subtract

40

40

from

36

36

.

x

=

6

±

√

−

4

2

⋅

2

x

=

6

±

-

4

2

⋅

2

Rewrite

−

4

-

4

as

−

1

(

4

)

-

1

(

4

)

.

x

=

6

±

√

−

1

⋅

4

2

⋅

2

x

=

6

±

-

1

⋅

4

2

⋅

2

Rewrite

√

−

1

(

4

)

-

1

(

4

)

as

√

−

1

⋅

√

4

-

1

⋅

4

.

x

=

6

±

√

−

1

⋅

√

4

2

⋅

2

x

=

6

±

-

1

⋅

4

2

⋅

2

Rewrite

√

−

1

-

1

as

i

i

.

x

=

6

±

i

⋅

√

4

2

⋅

2

x

=

6

±

i

⋅

4

2

⋅

2

Rewrite

4

4

as

2

2

2

2

.

x

=

6

±

i

⋅

√

2

2

2

⋅

2

x

=

6

±

i

⋅

2

2

2

⋅

2

Pull terms out from under the radical, assuming positive real numbers.

x

=

6

±

i

⋅

2

2

⋅

2

x

=

6

±

i

⋅

2

2

⋅

2

Move

2

2

to the left of

i

i

.

x

=

6

±

2

i

2

⋅

2

x

=

6

±

2

i

2

⋅

2

Multiply

2

2

by

2

2

.

x

=

6

±

2

i

4

x

=

6

±

2

i

4

Simplify

6

±

2

i

4

6

±

2

i

4

.

x

=

3

±

i

2

x

=

3

±

i

2

The final answer is the combination of both solutions.

x

=

3

2

+

i

2

,

3

2

−

i

2

x

=

3

2

+

i

2

,

3

2

-

i

2

Problem 5

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

Explanation:

When we increase some value by 7%, we are effectively multiplying by 1.07

Note how 100% + 7% = 107% = 1.07

The 1.07 multiplier is then handy to use algebra to find the cost before tax is added

x = cost before tax

1.07x = cost after tax

1.07x = 524.30

x = 524.30/1.07

x = 490

Before tax, the water heater cost $490.

If we apply a 7% tax, then we pay 7% of 490 = 0.07*490 = 34.30 dollars on top of the $490 to get 490+34.30 = 524.30 which matches with the instructions. So our answer is verified.

Or you could use the 1.07 multiplier shortcut to see that 1.07*490 = 524.30

======================================================

Problem 6

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

Explanation:

His gross pay is $1750. This is the amount he earned before any taxes are applied. The items of Medicare, Social Security, and Federal Withholding Income Tax, are all various taxes that Ian has to pay. So his gross pay will be reduced to some smaller value to get the net pay.

To find the total amount of taxes deducted from his paycheck, we add up the tax percentage values to get: 1.45+6.2+18 = 25.65

This means Ian is taxed at a total rate of 25.65% of his gross pay, and he has to pay 0.2565*1750 = 448.875 = 448.88 dollars to the government. This leaves 1750-448.88 = 1301.12 dollars left over for his net pay.

A slightly alternative way is to note how if Ian pays 25.65% of his gross pay, then he's left with 100% - 25.65% = 74.35% of his paycheck, and 0.7435*1750 = 1,301.125 which would round down to 1301.12

I'm rounding up when it comes to determining the amount of tax to pay, while rounding down any amount Ian has left over for his net pay. This ensures that we consider the worst-case scenario.

Answer:

[tex]\frac{11}{6}[/tex] units

Step-by-step explanation:

To find the x- intercepts let y = 0 , that is

6x² - 7x - 3 = 0 ← in standard form

(3x + 1)(2x - 3) = 0 ← in factored form

Equate each factor to zero and solve for x

3x + 1 = 0 ⇒ 3x = - 1 ⇒ x = - [tex]\frac{1}{3}[/tex]

2x - 3 = 0 ⇒ 2x = 3 ⇒ x = [tex]\frac{3}{2}[/tex]

Find the difference of the 2 x- intercepts using absolute value

distance = | [tex]\frac{3}{2}[/tex] - (- [tex]\frac{1}{3}[/tex] ) | = | [tex]\frac{3}{2}[/tex] + [tex]\frac{1}{3}[/tex] | = | [tex]\frac{11}{6}[/tex] | = [tex]\frac{11}{6}[/tex]

Answer:

$7.16

Step-by-step explanation:

Jessica total purchas: $1.29 + $1.55 = $2.84

Jessica paid for her purchase with a $10 bill

Jessica cash received after purchase: $10.00 - $2.84 = $7.16

Answer:

owo rawr pie jkjk

i never had pie but if i would try some i would go for cherry

Step-by-step explanation:

Answer:

I like nut pie

Step-by-step explanation:

it taste's good

Answer:

x = -9

Step-by-step explanation:

-3x + 8 =35

-3x = 27

x = -9

Answer:

x=-9. Success to the homework.

Answer:

B

Step-by-step explanation:

The coordinates of H will be (3,5)

The formula for this is

(x,y) —> (x-3, y+7)

This is because the x value is what moves left and right and the y value moves up and down

Answer:

see explanation

Step-by-step explanation:

The function has a maximum value when sinx = 1 , then

y = 3(1) + 5 = 3 + 5 = 8

The function has a minimum value when sinx = - 1, then

y = 3(- 1) + 5 = - 3 + 5 = 2

Thus

range is 2 < y < 8

Answer: 41 more games.

Step-by-step explanation:

4030-2595 to find out how many points he needs to score.

1435

If he averages 35 per game lets divide 1435 by 35 to get the answer of 41.

Answer:

Step-by-step explanation:

4.75%

we know that a whole circle is found using π[tex]r^{2}[/tex].

So π[tex]10^{2}[/tex] = 314

so now we know that the whole circle is 314 squared units, we need to find the specific portion.

Oh wait, i learned this lol,

formula for area of sector

As (areas of sector) = π[tex]r^{2}[/tex]([tex]\frac{θ}{360}[/tex])

As (areas of sector) = π[tex]10^{2}[/tex]([tex]\frac{θ}{360}[/tex])

100 times 3.14

314 (43/360)

314(0.12)

As (areas of sector) = 37.68

I hope this finds you well, and have a great day.

Answer:

what is the question, it is unclear

Answer:

i would say its b

Step-by-step explanation:

Answer: 147

Step-by-step explanation:

never is 42% of 350 people

so, 42/100 * 350= 147

UWU