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-BARSIC- [3]
2 years ago
8

Evaluate the polynomial when x = 3 and y = - 8x2 + y2 + xy​

Mathematics
2 answers:
zalisa [80]2 years ago
8 0

Answer:

49

Step-by-step explanation:

We are given the polynomial:

x^2+y^2+xy

We want to evaluate when x=3 and y= -8. Therefore, we must substitute 3 for each x and -8 for each y.

(3)^2+(-8)^2+(3*-8)

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

Solve the parentheses first. Multiply 3 and -9.

3*-8=-24

(3)^2+(-8)^2 + -24

(3)^2+(-8)^2-24

Now, solve the exponents.

3^2= 3*3 =9

9+ (-8)^2 -24

-8^2= -8*-8= 64

9+64-24

Add 9 and 64

73-24

Subtract 24 from 73

49

The polynomial evaluated for x=3 and y= -8 is 49.

Ivahew [28]2 years ago
5 0
<h3>Answer: 49</h3>

Work Shown:

Replace x with 3, replace y with -8. Use order of operations PEMDAS to simplify.

x^2 + y^2 + x*y

3^2 + (-8)^2 + 3*(-8)

9 + 64 - 24

73 - 24

49

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Are these ratios equivalent? 12 friends : 15 strangers AND 6 friends : 14 strangers
meriva

Answer:

No

Step-by-step explanation:

12:15 can be simplified to 4:5

6:14 can be simplified to 3:7

These two are not equivalent to eachother

6 0
3 years ago
Please help me!!! :(
I am Lyosha [343]

Answer:

280

Step-by-step explanation:

7*5*4*2=280

4 0
3 years ago
Equation:<br><img src="https://tex.z-dn.net/?f=5%20%2B%205%20%3D%205x%20%2B%205%20-%202" id="TexFormula1" title="5 + 5 = 5x + 5
dem82 [27]

Answer:

x = \frac{7}{5}

Step-by-step explanation:

To solve for x, we need to isolate it [get it alone on one side]

We should start by simplifying (combining the like-terms of our equation):

5 + 5 = 5x + 5 - 2

10 = 5x + 3

- 3         - 3        (subtract 3 from both sides to isolate x)

7 = 5x

÷5  ÷5   (divide both sides by 5 to find "1"x)

\frac{7}{5}=x  

So, x = \frac{7}{5}

(x = 7/5)

hope this helps!!

7 0
1 year ago
Read 2 more answers
Salena, Justin, and Brandon were riding their bikes to the library after school. The library is 12 1/2 miles from school. Salena
faust18 [17]

Answer:

Salena's got to the library first

Step-by-step explanation:

12½ miles = 25/2 miles

2½ miles = 5/2 miles

5¾ miles = 23/4 miles

114 miles = 114 miles

Salena's time of arrival =

if 5/2 miles : 5 minutes

then 25/2 miles : ?

25/2 ÷ 5/2. × 5

25/2 × 2/5 × 5

25 minutes

Justin 's time of arrival=

if 23/4 miles : 12 minutes

25/2 miles : ?

25/2 ÷ 23/4 ×12

25/2 × 4/23 ×12

26 minutes approximately

Brandon 's time of arrival=

if 114 miles : 258 minutes

25/2 miles : ?

25/2 ÷114 ×258

25/2 × 1/114×258

25 × 1/57 × 258

113 minutes approximately

3 0
3 years ago
Solve for x.<br> Sqrt8 (Sqrt2 - x) = 11
Alexus [3.1K]

Answer:\frac{-7\sqrt{2} }{4}

Step-by-step explanation:

So first, let's get rid of the parentheses. We can multiply it out to get \sqrt{16}-x\sqrt{8} =11. We know that the square root of 16 is ±4, so now our equation is ±4 - x\sqrt{8}=11. I'm guessing since the problem only has one solution it's most likely only positive 4, so let's revise our equation to 4 - x\sqrt{8}=11. We can use inverse operations to make the a little easier to solve: -7= x\sqrt{8}. We divide both sides by \sqrt{8} to get \frac{-7}{\sqrt{8} } =x, which we can rationalize (remove the square root from the denominator so that it's a proper answer) by multiplying by \frac{\sqrt{8} }{\sqrt{8} } (which is equal to one so we can use it) which is equal to \frac{-7\sqrt{8} }{8}. Let's finish this by simplifying it. \sqrt{8} =2\sqrt{2} (2x2^{2}). We can simplify it further by simplifying the 2, making it \frac{-7\sqrt{2} }{4}.

Hope this wasn't too confusing! I'll answer any questions.

8 0
2 years ago
Read 2 more answers
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