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Daniel [21]
3 years ago
10

Solve a system of equations using substitution: word problems

Mathematics
1 answer:
Black_prince [1.1K]3 years ago
4 0
Restaurant 1 : y = 7k + 39
restaurant 2 : y = 2k + 44

7k + 39 = 2k + 44
7k - 2k = 44 - 39
5k = 5
k = 5/5
k = 1

y = 2k + 44
y = 2(1) + 44
y = 2 + 44
y = 46

Dinner would cost $ 46 at either restaurant if Lina's lobster weighed 1 kilogram.
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Factor 3x^2y^2 − 2xy^2 − 8y^2. Show your work.
docker41 [41]
<span>3x^2y^2 − 2xy^2 − 8y^2 =
y^2 (3x^2 - 2x - 8) =

factoring with leading coefficient:

for ax2+bx+c find two numbers n,m, that m*n = a*c and m+n = b
</span><span><span>
3x^2 - 2x - 8
a=3, b=-2, c=-8
</span>a*c = 3*(-8) = -24
-24=(-6)*4 and -6+4=-2, so m=-6 and n=4

replace bx with mx + nx and factor by grouping
</span><span>
3x^2 - 2x - 8 = </span>3x^2 -6x + 4x -8 = 3x(x-2) + 4(x-2) = (3x+4)(x-2)

answer:
<span>3x^2y^2 − 2xy^2 − 8y^2 = y^2(3x+4)(x-2)</span>

7 0
3 years ago
Simplify: 7^6 ÷ 7^2<br><br> A.) 7^3<br> B.) 7^4<br> C.) 7^8<br> D.) 7^12
juin [17]
7^6/7^2
(7*7*7*7*7*7)/(7*7)
the answer is b. 7^4
6 0
3 years ago
Read 2 more answers
Anwser these questions
Sveta_85 [38]
Use photo math , it helps lol
6 0
3 years ago
Which description best compared the graph of the two functions below?
Alenkinab [10]

Answer:

The description that best compares the graph of the two function is:

         The line for function A is steeper.

Step-by-step explanation:

5 0
3 years ago
HELPPP PLEASEEEEEEEEE
Mashutka [201]
For synthetic division:
1) Write the coefficients of the polynomial under the division symbol, in order. Make sure you include coefficients that are 0, so they may not be written out in the polynomial! 
The coefficients are 7, 1, 0 (the coefficient of x), and -4 in that order

2) The divisor is in the form of x - a. The number "a" goes outside the bracket.
a = 5

Since 7, 1, 0, -4 are under the bracket and 5 is outside the bracket, the answer is C.

------

Answer: C
7 0
3 years ago
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