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77julia77 [94]
3 years ago
13

PLz help with these questions. For questions 1 and 2 , write each expression using a single exponent. 1)   x^9/x^2 2) h^14/h^5 F

or questions 3 and 4, simplify each expression. 3) 4^4/4^6 4) 5^0 For questions 6-8, multiply the following polynomial. 6) -2r( 8r + 5 ) 7) 4a( a^2 + 7a + 4 ) 8) ( 2y - 3 )( 3y - 2 )
Mathematics
1 answer:
Zepler [3.9K]3 years ago
4 0
For questions 1 and 2 , write each expression using a single exponent.

1) \ x^9:x^2=x^7\\
\\
2) \ h^{14}:h^{5}=h^9

<span>For questions 3 and 4, simplify each expression.
</span>
3) \ 4^4:4^6=4^{-2}=\frac{1}{4^2}=\frac{1}{16}\\&#10;\\&#10;4) \ 5^0=1

<span>For questions 6-8, multiply the following polynomial.
</span>
6) \ -2r(8r+5)=-16r^2-10r\\&#10;\\&#10;7) \ 4a(a^2+7a+4)=4a^3+28a^2+16a\\&#10;\\&#10;8) \ (2y-3)(3y-2)=6y^2-4y-9y+6=6y^2-13y+6




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Consider the function f(x) = x2 + 2x – 35. If one of the zeros of the
Whitepunk [10]

If one zeros is x= -7 then the other zero is x=5

Step-by-step explanation:

We are given the function: f(x) = x^2 + 2x-35

If one zeros of the function is x=-7 we need to find other zero of the function.

We can find zeros of the quadratic equation by factorizing the equation

f(x) = x^2 + 2x-35

Factorizing the quadratic equation:

x^2 + 2x-35=0\\x^2-5x+7x-35=0\\x(x-5)+7(x-5)=0\\(x+7)(x-5)=0\\x+7=0\,\,and\,\,x-5=0\\x=-7\,\,and\,\,x=5

So, if one zeros is x= -7 then the other zero is x=5

Keywords: Solving Quadratic Equation

Learn more about Solving Quadratic Equation at:

  • brainly.com/question/10771256
  • brainly.com/question/2568692
  • brainly.com/question/1332667

#learnwithBrainly

8 0
3 years ago
Number 7 please! I need help badly
melamori03 [73]

Answer:

A computer costs $225 and a printer $150.

Step-by-step explanation:

Let c be the cost of a computer and p the cost of a printer, then:

3c + p   = 825

4c + 2p = 1200

Multiply the first equation by -2:

-6c - 2p = -1650

Add this to the second equation:

-2c = -450

c = 225.

Now substitute  c = 225 in the first equation:

3*225 + p = 825

p = 825 - 675 =  150.

7 0
3 years ago
The product of 12 and k is 84.
Vesnalui [34]

Answer:

to solve this we do the oppisite of multiplication which is division

so 84 divided by 12 = 7 so that means that our mysterious k = 7

so reprhase  the sentence so  '' The product of 12 and 7 is 84

hope this helps:)

Step-by-step explanation

8 0
3 years ago
Read 2 more answers
Write an equation for a line perpendicular to y= -4x +2 and passing through the point (12,6)
gtnhenbr [62]

Answer:

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

Step-by-step explanation:

5 0
3 years ago
A diver dives from the board at a local swimming pool. Her height, y, in metres, above the water in terms of her horizontal dist
Aneli [31]

Answer:

4 meters

Step-by-step explanation:

Given a quadratic equation in which the coefficient of x^2 is negative, the parabola opens up and has a maximum point. This maximum point occurs at the line of symmetry.

Since the divers height, y is modeled by the equation

y= -x^2 + 2x + 3

Step 1: Determine the equation of symmetry

In the equation above, a=-1, b=2, c=3

Equation of symmetry, x=-\dfrac{b}{2a}

x=-\dfrac{2}{2*-1}\\x=1

Step 2: Find the value of y at the point of symmetry

That is, we substitute x obtained above into the y and solve.

y(1)= -1^2 + 2(1) + 3=-1+2+3=4m

The maximum height of the diver is therefore 4 meters.

8 0
3 years ago
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