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navik [9.2K]
4 years ago
13

What is the correct evaluation of 3x2 + 4x - 2y2 + 4y + 5, when x is equal to -1 and y is equal to 5?

Mathematics
1 answer:
Julli [10]4 years ago
8 0
3x2+4(-1)-2(5)2 +4(5)+5=
__________________
6+-4-10+25
_________
31-14=17
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A triangle has angle measurements of 390, 390, and 102°. What kind of triangle is it?
Pie

Answer:

a triangle cannot have these angles

Step-by-step explanation:

sum of all interior angles of a triangle must be 180. I think you might have made a mistake in the question.

4 0
2 years ago
The dimensions of a rectangle are √50a^3b^2 and √200a^3. What is the students error?
bearhunter [10]

Answer:

The student incorrectly simplified 30ab\sqrt{2a}+20a\sqrt{2a} .

Thus, option D is correct.

<u></u>

Step-by-step explanation:

The formula to determine the Perimeter of a rectangle of width w and length l is expressed as:

P = 2l + 2w

In other words, the perimeter can be determined by multiplying the length and width by 2 and adding the result.

In our case, the dimensions of a rectangle are \sqrt{50a^3b^2}  and  \sqrt{200a^3}\:\:.

Here is the student's solution:

2\sqrt{50a^3b^2}+2\sqrt{200a^3}=2\cdot 5ab\sqrt{2a}+2\cdot 10a\sqrt{2a}

                                 =10ab\sqrt{2a}+20a\sqrt{2a}

                                 =30ab\sqrt{2a}          

The student made an error in calculating 30ab\sqrt{2a}+20a\sqrt{2a} , because 30ab\sqrt{2a}+20a\sqrt{2a} are not like terms.

Hence, 30ab\sqrt{2a}+20a\sqrt{2a} can not be simplified to 30ab\sqrt{2a}

Therefore, the student incorrectly simplified 30ab\sqrt{2a}+20a\sqrt{2a} .

Thus, option D is correct.

<u></u>

<u></u>

<u>Here is the correct Solution:</u>

2\sqrt{50a^3b^2}+2\sqrt{200a^3}=2\cdot 5ab\sqrt{2a}+2\cdot 10a\sqrt{2a}

                                 =10ab\sqrt{2a}+20a\sqrt{2a}

7 0
3 years ago
Read 2 more answers
A trader bought m apples for $12.
Aleks [24]

Answer:

a) total cost of m apples= $12 = 1200 cents

($1= 100cents, so $12= 12×100 cents)

cost of each apple= 1200/m

b) Number of apples sold= m-3

selling price of each apple= (1200/m) +2

Total sum received from sales:

(\frac{1200}{m}  + 2)(m - 3) \\  =  \frac{1200}{m} (m) - 3( \frac{1200}{m}) + 2m   -  3(2)  \\  = 1200 -  \frac{3600}{m}  + 2m - 6 \\  = (2m + 1194 -  \frac{3600}{m} ) \: cents

c) profit= amount received- amount spent on buying apples

96= 2m +1194 -3600/m -1200

2m -6 -96 -3600/m =0 (simplify, bring 96 over)

2m- 102 -3600/m =0

2m^2 -102m -3600 =0 (multiply by m on both sides)

m^2 -51m -1800 =0 (divide by 2 on both sides)

(shown)

d) m^2 -51m -1800=0

x =   \frac{ -b± \sqrt{{b}^{2} - 4ac }   }{2a}

Hence, using the above formula,

m =  \frac{ - ( -51)± \sqrt{( - 51) {}^{2} - 4(1)( - 1800) } }{2(1) }  \\ m =  \frac{51± \sqrt{9801} }{2}  \\ m = 75 \:  \:  \:  \:  \: or \:  \:  \:  \:  \: m =  - 24

e) Thus, selling price of each apple

= 1200/75 +2

= 18 cents

This is found by substituting the value of m, which is 75, into the equation of the selling price of each apple which we found earlier in part b.

note: do not reject m= -24 in part d because you are simply solving the equation not finding out the number of apples the trader bought, m.

We ignore m= -24 in part e as it is not possible for the number of apples bought be a negative number

6 0
3 years ago
Guys PLEASE help me Asp <br><br> Give me 2 fraction mixed number word problems with answers
never [62]

Answer:

Ok

Um....Here.....Margina is baking a cake.They ate 2 2/3 of the cake and the rest was saved for when she went home.When she got home Margina at 5 4/6 of the cake.How much cake was eaten.

Step-by-step explanation:

Your answer is 8 1/3

6 0
3 years ago
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What is 8 divided by 8 x 6 plus 8 minece 5 =
pantera1 [17]
The answer is nine.
6 0
3 years ago
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