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aniked [119]
3 years ago
9

Find the sum −12(7z+4)+15(5z−15) can someone help me please?

Mathematics
2 answers:
irga5000 [103]3 years ago
7 0
-3(3z+91) is the answer
alexgriva [62]3 years ago
3 0

−12(7z+4)+15(5z−15)=-84z-48+75z-225=-9z-273

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The graphs of f(x) and g(x) are shown below:
rosijanka [135]
<h2>Answer:</h2>

Option: C is the correct answer.

            C.)   x = −3.8, 3

<h2>Step-by-step explanation:</h2>

The function f(x) is given by:

           f(x)=x^2-x-12

and the function g(x) is given by:

            g(x)=-1.8x-0.6

Now, we are asked to find the solution of the equation:

        f(x)=g(x)

i.e. we have to find the value of x such that both the functions are equal i.e.

x^2-x-12=-1.8x-0.6\\\\i.e.\\\\x^2-x+1.8x-12+0.6=0\\\\i.e.\\\\x^2+0.8x-11.4=0\\\\i.e.\\\\10x^2+8x-114=0\\\\i.e.\\\\5x^2+4x-57=0

Now, on solving the equation using the quadratic formula i.e. the solution of the equation:

ax^2+bx+c=0

is given by:

x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}

Here we have:

a=5,\ b=4\ and\ c=-57

Hence, the solution is given by:

x=\dfrac{-4\pm \sqrt{4^2-4\times 5\times (-57)}}{2\times 5}\\\\i.e.\\\\x=\dfrac{-4\pm \sqrt{16+1140}}{10}\\\\i.e.\\\\x=-3.8\ and\ x=3

6 0
3 years ago
A baker divides 21.4 pounds of flour equally between five recipes. How much flour did the bakery use for each recipe?
worty [1.4K]

Answer:

4.28 per recipe

Step-by-step explanation:

21.4 divided by 5 = 4.28 per recipe

4 0
3 years ago
Read 2 more answers
Kim decides to give her old toys to her younger cousins. She gives her cousin Sarah 2/3. Then, she gives her cousin Ryan 2/5 of
KatRina [158]

Answer:

30

Step-by-step explanation:

Work backwards:

  • 6 is 3/5 of a number, and that number is 10
  • 10 is 1/3 of a number, and that number is 30

Check your work:

  • 2/3 of 30=20 toy to Sarah
  • 30-20=10 toys left
  • 2/5 of 10=4 toys to Ryan
  • 10-4=6 toys left
3 0
2 years ago
Help with word problem!
creativ13 [48]
2 1/6 divided by 7/10

13/6 / 7/10 =

13/6 * 10/7 =

130/42 =

3 4/42. or 3 2/21 hours... three and two twenty-firsts
7 0
3 years ago
For an irrational number x = 3 + 2√2 , find out what will be the nature of the number x + 1 /
Wittaler [7]

It will be irrational. The sum of any irrational and rational number will ALWAYS result in a irrational answer. Khan Academy has a video on this if you want to watch it.
3 0
3 years ago
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