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lord [1]
3 years ago
5

Multiply and simplify the following expression -4√15 x(-√3)

Mathematics
1 answer:
larisa [96]3 years ago
6 0

Answer:

\large\boxed{12\sqrt5}

Step-by-step explanation:

\text{Use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\-----------------\\\\-4\sqrt{15}\cdot\left(-\sqrt3\right)=4\sqrt{(15)(3)}=4\sqrt{5\cdot3\cdot3}=4\sqrt5\cdot\sqrt9\\\\=4\sqrt5\cdot3=12\sqrt5

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Use factoring to solve the quadratic equation. Check by substitution or by using a graphing utility and identifying x-intercepts
MaRussiya [10]

9514 1404 393

Answer:

  x = -7, x = 9

Step-by-step explanation:

We presume your equation is ...

  x² -2x -63 = 0

Factors of -63 that have a sum of -2 are -9 and +7. Then the factored equation is ...

  (x -9)(x +7) = 0

Solutions make the factors zero.

  x -9 = 0   ⇒   x = 9

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The solutions to the quadratic equation are x = -7 and x = 9.

7 0
3 years ago
What is the inverse of f(x)=4x+3 ?
GaryK [48]
<h2>Steps:</h2>

Here are the steps to convert an equation to its inverse:

  1. Change f(x) to y
  2. Switch the positions of x and y
  3. Solve for y
  4. Change y to f^-1(x)

Firstly, do the first two steps:

x=4y+3

Next, let's solve for y. Subtract 3 on both sides:

x-3=4y

Next, divide both sides by 4:

\frac{1}{4}x-\frac{3}{4}=y

<h2>Answer:</h2>

Finally, change y to f^-1(x) and your final answer will be:

f^{-1}(x)=\frac{1}{4}x-\frac{3}{4} , or <u>the second option.</u>

7 0
3 years ago
How does the calculator get 48.8? mean (45, 80, 15, 10, 94)
jok3333 [9.3K]

Answer:

mean= sum of all observations /no.of observation

mean=45+80+15+10+94/5

mean=244/5

mean=48.8

this is how the calculator gets 48.8

5 0
3 years ago
Maria's kitchen sink holds up to 103.468 liters of water. round this amount to the nearest liters
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104 litres of water.
3 0
3 years ago
Read 2 more answers
BEST GETS BRAINLEST.
sashaice [31]
We know that <span>the given side lengths are x and the height is x. 

Therefore, the area of the base = </span> A = x * x 

Formula =\ \textgreater \  volume = length*width*height&#10;

To \ find \ the \ volume \ of \ 1  \ slab, \ multiply \ by \ the \ height x -3 

= x*x*(x-3) 

Volume \ of \ 25 \ slabs = 25*x^2*(x-3)=350000 

350,000/25 = 14,000<span>
</span>
x^3 - 3x^2 - 14000<span>
</span>
= 25.14
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</span>&#10;Rounded => x=25


8 0
3 years ago
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