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3 years ago

Someone please help solve this!! I’ll give brainlist

Mathematics

1 answer:

dem82 [27]3 years ago

7 0

Answer:

Inital height is 20

Step-by-step explanation:

h= (-5x-5)(x-4)

h= -5x^2+15x+20

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What statement is valid….

Nataly_w [17]

Discuss the relevance of fairy tales in society today and the aspects that it teaches us about our world. Why do we enjoy fairy tales and repeat these stories over time? How do fairy tales open our eyes to other cultures? What does it mean to live happily ever after? Discuss why tricksters often highlight flaws in the gods. If tricksters threaten order, authority, and hierarchy, then why do you think they appear in various stories? What are the similarities and differences in intelligence between the gods and tricksters? Discuss the ways in which tricksters mediate between the gods and men. Why do you think tricksters take the side of humans? What do the trickster stories say about cunning? Can intelligence be both evil and good?

3 0

2 years ago

We want to factor the following expression: (x 3)^2 14(x 3) 49(x 3) 2 14(x 3) 49(, x, plus, 3, ), squared, plus, 14, (, x, plus,

Nesterboy [21]

Answer:

$U = x$

$V=10$

Step-by-step explanation:

Given

$(x +3)^2 + 14(x + 3) + 49 = (U + V)^2$

Required

Find U and V

We have:

$(x +3)^2 + 14(x + 3) + 49 = (U + V)^2$

Expand

$x^2 + 6x + 9 + 14x + 42 + 49 = (U + V)^2$

Collect like terms

$x^2 + 6x + 14x + 9 + 42 + 49 = (U + V)^2$

$x^2 + 20x + 100 = (U + V)^2$

Expand

$x^2 + 10x + 10x + 100 = (U + V)^2$

Group

$[x^2 + 10x] + [10x + 100] = (U + V)^2$

Factorize each group

$x[x + 10] + 10[x + 10] = (U + V)^2$

Factor out x + 10

$[x + 10][x + 10] = (U + V)^2$

So, we have:

$[x + 10]^2 = (U + V)^2$

By comparison

$U = x$

$V=10$

7 0

3 years ago

A container in the shape of this cuboid holds 2 litres of water.

zysi [14]

Given:

Volume of cuboid container = 2 litres

The container has a square base.

Its height is double the length of each edge on its base.

To find:

The height of the container.

Solution:

We know that,

1 litre = 1000 cubic cm

2 litre = 2000 cubic cm

Let x be the length of each edge on its base. Then the height of the container is:

$h=2x$

The volume of a cuboid is:

$V=l\times w\times h$

Where, l is length, w is width and h is height.

Putting $V=2000,\ l=x,\ w=x,\ h=2x$ , we get

$2000=x\times x\times 2x$

$2000=2x^3$

Divide both sides by 2.

$1000=x^3$

Taking cube root on both sides.

$\sqrt[3]{1000}=x$

$10=x$

Now, the height of the container is:

$h=2x$

$h=2(10)$

$h=20$

Therefore, the height of the container is 20 cm.

8 0

3 years ago

Will multiplying two binomials always create a trinomial?

vovikov84 [41]

The answer is no ... Thats the correct answer

5 0

3 years ago

Write a polynomial function in factored form with double roots at -2 and 5 and the constant term of the polynomial in standard f

Amanda [17]

Answer:

$f(x)=-0.4x^4+2.4x^3+8.4x^2-24x-40$

Step-by-step explanation:

If -2 and 5 are double roots of the polynomial function, then the function expression is

$f(x)=a(x-(-2))^2(x-5)^2\\ \\f(x)=a(x+2)^2(x-5)^2$

Rewrite this function in standard form:

$f(x)=a(x^2+4x+4)(x^2-10x+25)\\ \\f(x)=a(x^4-10x^3+15x^2+4x^3-40x^2+100x+4x^2-40x+100)\\ \\f(x)=a(x^4-6x^3-21x^2+60x+100)\\ \\f(x)=ax^4-6ax^3-21ax^2+60ax+100a$

The constant term of the polynomial in standard form is -40, so

$100a=-40\\ \\a=-\dfrac{40}{100}=-0.4$

Therefore, the function expression is

$f(x)=-0.4x^4-6\cdot (-0.4)x^3-21\cdot (-0.4)x^2+60\cdot (-0.4)x+100\cdot (-0.4)\\ \\f(x)=-0.4x^4+2.4x^3+8.4x^2-24x-40$

7 0

4 years ago