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algol13
3 years ago
11

Solve the quadratic equation graphically using at least two different approaches. When necessary, give your solutions to the nea

rest hundredth.
Mathematics
1 answer:
Misha Larkins [42]3 years ago
8 0
We don’t see a problem. Try using the equation y=ax^2
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The difference between two numbers is 15. If 8 is added to twice the greater number, the result is 4 less than 3 times the lesse
yuradex [85]

Answer:


Step-by-step explanation:

Let x be the greater number and y be the smaller number. We know that their difference is 15, so we have

x-y=15

Then, we have the following information: if we add twice the greater (2x) and 8 (2x+8), the result is 3 times the lesser (3y) minus four (3y-4). So, we have

2x+8 = 3y-4 \iff 2x-3y = -12

So, we have the follwing system:

\begin{cases} x-y=15\\2x-3y = -12\end{cases}

From the first equation, we can derive x = y+15, and substitute this expression in the second equation to get

2(y+15)-3y = -12 \iff 2y + 30 -3y = -12 \iff -y = -42 \iff y = 42

Substitute this value for y in the first equation to get

x-42=15 \iff x=15+42 \iff x = 57

8 0
3 years ago
Zero is an element of the set of natural numbers.
zaharov [31]
In mathematics, a natural number<span> is either a positive integer (1, 2, 3, 4, ...) or a non-negative integer (0, 1, 2, 3, 4, ...). </span>
7 0
3 years ago
Read 2 more answers
24. Janet and Jack are walking in a two-day event to raise money for charity.
Serga [27]

Answer:

40 miles walk

Step-by-step explanation:

Let the miles walked by both of them be x at which money collected by same

for Janet

Fixed donation  asked = $7.50

money asked for walking 1 mile = $0.10

money made by Janet if he walks x miles = x*$0.10 = $0.10x

Total money collected by Janet = Fixed donation  asked + money made by Janet if he walks x miles

Total money collected by Janet =7.50 + 0.10x

For Jack

Fixed donation  asked = $5.50

money asked for walking 1 mile = $0.15

money made by Janet if he walks x miles = x*$0.15 = $0.15x

Total money collected by Jack = Fixed donation  asked + money made by Jack if he walks x miles

Total money collected by Jack =5.50 + 0.15x

we have to find miles at which money collected by both of them be same

and we have decided that it it as x mile walk then

Total money collected by Janet = Total money collected by Jack

7.50 + 0.10x = 5.50 + 0.15x

=> 7.50 - 5.50 = 0.15x - 0.10x

=> 2 = 0.05x

=> x = 2/0.05 = 40

Thus, at 40 miles walk money collected by both of them will be same

7 0
3 years ago
Find the value of x when the triangle has 9 and 3
DENIUS [597]

Answer:

H²=h²+b²

H²=9²+3²

H²=81+9

H²=90

H=

\sqrt{90}

5 0
3 years ago
Solve these:<br> 4x+5=29<br> 2(x-4)=40
Temka [501]
4x + 5 = 29

Subtract 5 on both sides

4x = 24

Divide by 4

X = 6

Now the second one:
2(x-4) = 40

Distribute the 2 into the parenthesis

2x - 8 = 40

Add 8 on both sides

2x = 48

Divide by 2

X = 24


I hope this Helps!
8 0
3 years ago
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