3 years ago

Simplify the following expression. Classify the resulting polynomial.

Mathematics

1 answer:

Nady [450]3 years ago

7 0

Answer:

C.Quadratic binomial

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If 3a-2b= 8 and a+3b=7 what is the value of 4a+b?

Fittoniya [83]

Step 1: Find the value of one variable in terms of the other.

$a+3b=7\\a=7-3b$

Step 2: Substitute the value you just found for this variable in the other equation.

$3a-2b=8\\3(7-3b)-2b=8\\21-9b-2b=8\\21-11b=8\\21=8+11b\\13=11b\\\frac{13}{11}=b\\ b=1\frac{2}{11}$

Step 3: Use your new value for the second variable to find the first.

$a+3b=7\\a+3(1\frac{2}{11})=7\\a+3\frac{6}{11}=7\\\\a=3\frac{5}{11}$

Now that we know the values for a and b we can find the value of 4a+b.

$4a+b\\4(3\frac{5}{11})+1\frac{2}{11}\\12+\frac{20}{11}+1\frac{2}{11}\\\\12+1\frac{9}{11}+1\frac{2}{11}\\\\\boxed{15}$

6 0

4 years ago

Kaylin buys a greeting card for $3.79. she then buys 4 postcards that all cost the same amount. the total cost is $5.11. how muc

Pie

Answer:

Step-by-step explanation:

Givens

Greeting Card = 3.79

Total Cost = 5.11

Post cards = x

Equation

Total Cost = Greeting Card + 4x

Solution

Substitute the gives into the equation

5.11 = 3.79 + 4x Subtract 3.79 from both sides

5.11 - 3.79 = 3.79 - 3.79 + 4x Combine

1.32 = 4x Divide by 4

1.32/4 = 4x/4

x = 33

Each post card costs 0.33 dollars

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2 years ago

wesley. is very particular about his salad He must have 10 leaves of lettuce for every 4 pieces of carrots If he has 50 leaves o

tatyana61 [14]

Answer:

20 carrots

Step-by-step explanation:

4/10

x/50

10 x 5 = 50

4 x 5 = x

x = 20

20/50

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3 years ago

The diagonals of a quadrilateral are congruent and perpendicular bisectors of each other. what must the parallelogram be

lukranit [14]

It would be a Square

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4 years ago

Work out the size of angle x<br> give reasons for your answer

pogonyaev

Answer:

80°

Step-by-step explanation:

because a straight parallel line is 180°

6 0

3 years ago

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