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3 years ago

Please help I got the answer wrong-

Mathematics

1 answer:

puteri [66]3 years ago

8 0

Answer:

$x {}^{2} = 150$

Step-by-step explanation:

What I did was

$5 \times 5 = 25$

then I did

$5 \times 5 = 25 \times 5 = 150$

and I'm hoping 150 is the answer. HOPE THIS HELPED

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Bethany needs to solve the equation -x^2 + 4x = x - 4.

notsponge [240]

Answer:

The system of equations she could write is:

y = -x² + 4x

y = x - 4

The solutions are (-1 , -5) and (4 , 0)

Step-by-step explanation:

-x² + 4x = x - 4

That means two equations one quadratic which is in the left hand side and the other is linear which is in the right hand side.

They represented graphically by a parabola and a line, the solution of it will be the points of intersection of the two graphs

To find the system of equations take each side and equate it by y

∵ y = -x² + 4x

∵ y = x - 4

∴ The system of equations is:

y = -x² + 4x

y = x - 4

Let us solve this system using -x² + 4x = x - 4

∵ -x² + 4x = x - 4

- Subtract x from both sides

∴ -x² + 3x = -4

- Add 4 to both sides

∴ -x² + 3x + 4 = 0

- Multiply both sides by -1

∴ x² - 3x - 4 = 0

Let us use the factorization to solve it

∵ x² = (x)(x)

∵ -4 = (1)(-4)

∵ (x)(1) = x

∵ (x)(-4) = -4x

∵ x + -4x = - 3x ⇒ middle term

∴ The factors of x² - 3x - 4 are (x + 1)(x - 4)

- Substitute x² - 3x - 4 by its factors

∴ (x + 1)(x - 4) = 0

Equate each factor by 0 to find the values of x

∵ x + 1 = 0

- Subtract 1 from both sides

∴ x = -1

∵ x - 4 = 0

- Add 4 to both sides

∴ x = 4

Substitute the values of x in the equation y = x - 4 to find y

∵ y = -1 - 4

∴ y = -5

∵ y = 4 - 4

∴ y = 0

The solutions are (-1 , -5) and (4 , 0)

5 0

3 years ago

What is 8 minus 2.5 and explain how u got your answer.

Bess [88]

8-2.5 is 5.5 because when you subtract 2 from 6 you get 6b and when you subtract .5 from 6 you get 5.5

8 0

3 years ago

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Kathy distributes jelly beans among her friends. Alia gets 4² fewer beans than kelly who gets 3³ jelly beans. how many jelly bea

grin007 [14]

4^2= 16
3^3= 27
27-16=11 so Alia has 11 jelly beans

3 0

3 years ago

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Wei has $150.00 to make a garland using 60-cent balloons. He wants to purchase 100 blue balloons and some number of white balloo

DaniilM [7]

$149.60 that's what he will have left

6 0

3 years ago

Three brothers Charlie Robert and Nicholas have 21 video games Charlie has twice as many games as Robert. Robert has 5 fewer gam

AVprozaik [17]

Answer:

The equation would be $4x-15=21$ .

Step-by-step explanation:

Given;

Total Number of Video games = 21

Let the number of video game Nicholas has be 'x'.

Now Given:

Robert has 5 fewer games than Nicholas.

so we can say that;

number of video game Robert has = $x-5$

Also Given:

Charlie has twice as many games as Robert.

so we can say that;

number of video game Charlie has = $2(x-5)=2x-10$

we need to write the equation.

Solution:

Now we can say that;

Total Number of Video games is equal to sum of number of video game Nicholas has, number of video game Robert has and number of video game Charlie has.

framing the equation we get;

$x+x-5+2x-10=21\\\\4x-15=21$

Hence The equation would be $4x-15=21$ .

On Solving we get;

Adding both side by 15 we get;

$4x-15+15=21+15\\\\4x=36$

Dividing both side by 4 we get;

$\frac{3x}{4}=\frac{36}{4}\\\\x=9$

Hence Nicholas has = 9 video games

Robert has = $x-5= 9-5=4$ video games

Charlie has = $2x-10 = 2\times9-10=18-10=8$ video games

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3 years ago

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