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Akimi4 [234]
3 years ago
8

Solve by factorisation 2x2 + 3x - 20 = 0

Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
7 0
(2x - 5) (x + 4).................
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For each problem, identify any important quantities. If it's a known quantity, write the
Tema [17]

Answer:

We have the problem:

"Clare is in charge of getting snacks for a road trip with her friends and her dog. She has

$35 to go to the store to get some supplies. The snacks for herself and her friends cost

$3.25 each, and her dog's snacks costs $9 each."

In this situation we have two variables:

X =  number of snacks for herself and her friends that she buys. Each one of these costs $3.50

Y = number of snacks for her dog that she buys. Each one of these costs $9.

The total cost, in this case, can be written as:

X*$3.50 + Y*$9

And we know that she has $35 to spend, so she can spend $35 or less in the store, then we have the inequality:

X*$3.50 + Y*$9  ≤ $35

Where we defined all the quantities in the inequality.

4 0
3 years ago
The height of water shooting from a fountain is modeled by the function f(x) = −0.2x2 − 2.8x − 5.4 where x is the distance from
balandron [24]
Start by setting the function equal to 0 and then moving the -5.4 over to the other side of the equals sign.  -.2 x^{2} -2.8x=5.4.  The first rule for completing the square is that the leading coefficient be a +1.  Ours is a -.2.  So we need to factor it out. -.2( x^{2} +14x)=5.4.  Now we will take half the linear term, square it, and add it to both sides.  Our linear term is 14.  Half of 14 is 7, and 7 squared is 49.  So we add 49 in to the left side just fine, but we cannot forget about that -.2 hanging around out front as a multiplier.  What we have actually "added" in is -.2*49 which is -9.8.  Now here's what we have after all that: -.2( x^{2} +14x+49)=5.4-9.8.  In that process, we have created a perfect square binomial on the left.  Along with expressing that binomial we will do the math on the right: -.2(x+7) ^{2} =-4.4.  Now we will move the -4.4 back over by addition, and it will then be apparent as to what our vertex is.  The y coordinate of the vertex will give us the max height of the water.  -.2(x+7) +4.4=y.  As you can see, our work matches choice C from above.
4 0
3 years ago
Kent has paid a total of $589 For internet service. Each month of service cost $19. How many months, m, of internet service has
max2010maxim [7]

Answer:

31 months

Step-by-step explanation:

8 0
2 years ago
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Alisha has sixty-seven dollars and thirty one cents in her checking account. She wrote a check for ninety-one dollars and fifty-
grin007 [14]
-24.22 will be overdrawn in Alisha checking account
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3 years ago
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The caplan family was going to New York City to ring in the New Year. 16 family members each paid $341 for their plane ticket to
Usimov [2.4K]
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