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worty [1.4K]
3 years ago
6

Add (7x^2-2x+19)+(2x^2-7x+4) and please show me the steps of how you got the answer

Mathematics
1 answer:
san4es73 [151]3 years ago
7 0

Simplify

7x^2 - 2x + 19 + 2x^2 - 7x + 4

Collect like terms;

(7x^2 + 2x^2) + (-2x - 7x) + (19 + 4)

Simplify

<u>9x^2 - 9x + 23</u>

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4x^2-400=0<br><br> square roots and solving quadratics
posledela

Answer:

x = ±10

Step-by-step explanation:

4x² - 400 = 0

Add 400 to both sides

4x² = 400

Divide both sides by 4

x² = 100

Take the square root of both sides

x = ±10

8 0
3 years ago
I need help with this tysm​
erica [24]

9514 1404 393

Answer:

  1. -51
  2. -30
  3. -60
  4. 2 or -2

Step-by-step explanation:

The function puts a minus sign on 3 times the magnitude of the input.

1. y = -|3×17| = -51

2. y = -|3×10| = -30

3. y = -|3×20| = -60

4. -6 = -|3x|

  2 = |x| . . . . divide by -3

  x = ±2 . . . . two possibilities

8 0
3 years ago
Benny made a scale drawing of his bedroom what is the area of his actual bedroom
Mama L [17]
40 inches srry if im wrong
7 0
3 years ago
Read 2 more answers
Kevin and Randy Muise have a jar containing 70 coins, all of which are either quarters or nickels. The total value of the coins
Nikitich [7]

Answer:

50 nickels, 20 quarters.

Step-by-step explanation:

System of equations (q = # of quarters, n = # of nickels):

<em>q + n = 70, 0.25q + 0.05n = 7.50</em>

the first equation can be changed to q = 70 - n, so we are able to <em>substitute q with 70 - n</em>.

So, it will look like <em>0.25*70 - 0.25n + 0.05n = 7.50</em>. This can be simplified to <em>0.2n = 10</em>, which means that n = 50.

Knowing that we can solve <em>q + 50 = 70</em>, which means that q = 20.

6 0
3 years ago
Find all real zeros of number 11
tensa zangetsu [6.8K]
The answer is, x = 4,  \frac{3}{2}, -7

I'm about to basically type up a report on explaining this answer so bear with me :P

<em>Step 1.)</em> Factor 2x^{3}+  3x^{2}  +65x+84 using Polynomial Division.

Just a basic rundown of what polynomial division is. When using polynomial division for this problem we find all the factors of our constant, 84, and then see which one, when substituted for x, makes the expression equal zero. After we find our variable that makes the problem equal zero, we divide it into our original expression. Here's how it's done:

These are our factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

strating from one and plugging in these numbers, the first one we come upon that works is 4. So, now we will divide. below is a picture of what it should look like.

After we divide, we get an answer of ( 2x^{2} +11x-21)(x-4)

<em>Step 2.)</em> split ( 2x^{2} +11x-21)(x-4) into two terms

To do that we multiply the coefficient of the first term (2) by the constant (-21)
So: 2*-21=-42

Now we ask "which two numbers add up to equal 11, but multiply to equal -42". Those two numbers are 14 and -3.

Now we basically split 11x as the sum of 14 and -3. So now our problem should look like this: (2x^{2}+14x-3x-21) (x-4)
<span><span>
</span></span><em>Step 3.)</em> Factor out the common terms in the first two terms, then the last two like this:

From this: (2x^{2}+14x-3x-21) (x-4)

To this: (2x(x+7)-3(x+7))(x-4)

<em>Step 4.)</em> Factor the term (x + 7) out of the parenthesis

After we do that, we are left with our problem looking like this:

(x+7)(2x-3)(x-4)

The last thing we do is set each parenthesis equal to zero and work it out to find our zeros.

(x+7) = 0
x = -7

(2x-3) =0
x =  \frac{3}{2}

(x-4)=0
x=4

That gives us our answer of our zeros being x = 4, \frac{3}{2}, -7

Thank you for our question! I hope this helped! Have an amazing day! :D

4 0
3 years ago
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