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2 years ago

It is given that;

Mathematics

1 answer:

Anvisha [2.4K]2 years ago

3 0

Step-by-step explanation:

(i) T = { 4, 8, 12}

U = {1,2,3,4,6,8,12,24}

(iii) TUU = {1,2,3,4,6,8,12,24}

(iv) yes, because all the elements in T are also the elements in U.

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In a fruit cocktail, for every 15 ml of orange juice you need 25 ml of apple juice and 10 ml of coconut milk. What proportion of

frosja888 [35]

Answer:

3/10 is orange juice.

Step-by-step explanation:

Step 1: Find the total mL in the concoction

15 + 25 + 10 = 50 mL in a fruit cocktail

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15/50 = 3/10

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3 years ago

Jillian is trying to save water, so she reduces the size of her square grass lawn by 8 feet on each side the area of the smaller

horsena [70]

Answer: 20 feet by 20 feet.

Step-by-step explanation:

1. You know that $x$ is the original measure of one side. Since it is a square, all its sides are equal.

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- You have that:

$(a-b)^{2}=a^{2}-2ab+b^{2}$

- Then, you obtain the following quadratic equation:

$(x-8)^{2} =144\\x^{2}-2(x)(8)+8^{2}=144\\x^{2}-16x-80=0$

- Apply the Quadratic formula to solve it:

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- Then, you obtain:

$x_1=20\\x_2=-4$

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3 years ago

Read 2 more answers

Use the distributive property to expand -4 (-2/5 + 3 x). Which is an equivalent expression?

Brrunno [24]

Answer:

8/5-12x.

Step-by-step explanation:

To distribute, you simply need to multiply each of the terms inside of the parenthesis by -4. This will give you:

=-4( $\frac{-2}{5}$ )-4(3x)

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2 years ago

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Answer:

Second option: (-2,-3) and (1,0)

Step-by-step explanation:

Given the system of equations $\left \{ {{y = x^2 + 2x-3} \atop {y = x - 1}} \right.$ , you can rewrite them in this form:

$x^2 + 2x-3= x - 1$

Simplify:

$x^2 + 2x-3-x+1=0\\\\x^2+x-2=0$

Factor the quadratic equation. Choose two number whose sum be 1 and whose product be -2. These are: 2 and -1, then:

$(x+2)(x-1)=0\\\\x_1=-2\\\\x_2=1$

Substitute each value of "x" into any of the original equation to find the values of "y":

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Then, the solutions are:

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3 years ago

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shutvik [7]

Answer:

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Step-by-step explanation:

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3 years ago