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3 years ago

Solve the system of equations graphically. Y= - (x-2)^2+1. Y= X-1

Mathematics

1 answer:

My name is Ann [436]3 years ago

7 0

Answer:

(1,0) & (2,1)

Step-by-step explanation:

substitute x-1 for y in the first equation then solve using the PEMDAS and traditional rules

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Nancy and Kevin collect coins. Nancy has x coins. Kevin has 9 coins fewer than five times the number of coins Nancy has. Write a

Alexus [3.1K]

Answer:

x + (5x-9)

Step-by-step explanation:

x stands for the number of coins Nancy has

Kevin has 9 less than 5 times what Nancy has, so his part of the expression is 5x-9

To find the total number of coins they have, you have to add Nancy's number of coins x plus Kevin's number of coins 5x-9

x + (5x-9)

But you have to put parentheses around Kevin's 5x-9 so that part of the expression is calculated first, as per order of operations

3 0

2 years ago

How do I factor x^4-5x^2+6?

Vilka [71]

Answer:

$=(x^2-3)(x^2-2)$

Step-by-step explanation:

So we have the expression:

$x^4-5x^2+6$

And we wish to factor it.

First, let's make a substitution. Let's let u be equal to x². Therefore, our expression is now:

$=u^2-5u+6$

This is a technique called quadratic u-substitution. Now, we can factor in this form.

We can use the numbers -3 and -2. So:

$=u^2-2u-3u+6$

For the first two terms, factor out a u.

For the last two terms, factor out a -3. So:

$=u(u-2)-3(u-2)$

Grouping:

$=(u-3)(u-2)$

Now, substitute back the x² for u:

$=(x^2-3)(x^2-2)$

And this is the simplest form.

And we're done!

3 0

2 years ago

At a sale at an electronics store, a plasma television originally priced at $500 is marked 15% off. What is its selling price.

Liula [17]

Answer:Selling price is 425

Step-by-step explanation:

4 0

2 years ago

5-2(a+3b)/2 When a=4 and b=1.

nirvana33 [79]

Hello macelynn190!

$\huge \boxed{\mathfrak{Question} \downarrow}$

$\huge \tt \frac{5 - 2(a + 3b)}{2}$

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

To solve this question we need to substitute the given values of 'a' & 'b' in the equation & then simplify it.

Given,

a = 4
b = 1

Now, substitute this in the place of 'a' & 'b'..

$\large \tt \frac{5 - 2(a + 3b)}{2} \\ = \large \underline{\underline{\tt \: \frac{5 - 2((4) + 3(1))}{2} }}$

Lastly, simplify it...

$\large \tt \: \frac{5 - 2((4) + 3(1))}{2} \\ = \large \tt\frac{5 - 2(4 + 3)}{2} \\ = \large \tt \: \frac{5 - 2(7)}{2} \\ = \large \tt \: \frac{5 - 14}{2} \\ = \large \tt\frac{-9}{2} \\ = \large \boxed{\boxed{ \bf \: -\frac{9}{2}=-4.5}}$

The answer is -9/2 or -4.5

__________________

Hope it'll help you!

ℓu¢αzz ッ

5 0

2 years ago

Read 2 more answers

I need help in my math homework

Anastaziya [24]

Q19.Sunday equals 351 so that plus a hundred equals 451 plus 50 equals 501 so now we round it to closest number wensday at 506

q20.so Thursday and friday added equal 774

q21.Anna's report is 830 Joe's is 670 it would equal 160 more than Joe's so problem is 830 minus 670 equals 160 that is how much more Anna is than joe

q22.ok so week on equals 486 rounded equals 490 next week she got 254 rounded 250 she wanted to earn 545 so if we take 490 and add 50 equals 540 then add 200 and then it's 740 so we now know are answer is near that so I'm going to add them both now 486 plus 254 equals 740 ironically the exact same amount.

q23.ok so 972 minus 468 equals 504 that is how many inches he is bigger than the other one

if you need anymore help just let me know mate

4 0

2 years ago