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Ksivusya [100]
3 years ago
7

Assume f(x) = ax^2+ bx + c Which one is true? f is a parabola that opens sideways to the right. f is a parabola that opens sidew

ays to the left. f is a parabola that opens downward. f is a parabola that opens upward.​
Mathematics
1 answer:
Viefleur [7K]3 years ago
5 0

Step-by-step explanation:

f is a parabola that opens upward.

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8/7 each side of the expression both go up by 1
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Divide the fractions and simplify the answer 60 / 2 2/3
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2 2/3 as a decimal is 2.66666667. 60 divided by 2.66666667 is 22.5.
As a fraction, the answer will be 22 5/10

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The average weight of 3 containers A,B and C is 3.2kg. Container A is twice as heavy as container B. Containers B is 400 g heavi
dlinn [17]

Answer:

The weight of container C is 2.1kg.

Step-by-step explanation:

This question is solved using a system of equations.

I am going to say that:

x is the weight of container A.

y is the weight of container B.

z is the weight of container C.

The average weight of 3 containers A,B and C is 3.2kg.

This means that the total weight is 3*3.2 = 9.6kg. So

x + y + z = 9.6

Container A is twice as heavy as container B.

This means that x = 2y.

Containers B is 400 g heavier than container C.

400g is 0.4kg. So

This means that y = z + 0.4, or z = y - 0.4

Replacing y and z as functions of x in the first equation:

x + y + z = 9.6

2y + y + y - 0.4 = 9.6

4y = 10

y = \frac{10}{4} = 2.5

Container C

z = y - 0.4 = 2.5 - 0.4 = 2.1

The weight of container C is 2.1kg.

4 0
3 years ago
The difference of two numbers, a and b, is 21. The difference of 5 times a and two times b is 18. What are the values of a and b
zheka24 [161]

Answer:

E.  -8, -29

Step-by-step explanation:

a-b=21

5a -2b =18

Take the first equation and solve for a by adding b to each side

a-b=21

a-b+b=21+b

a = 21+b

Now substitute a=21+b into the second equation

5a -2b =18

5(21+b) -2b =18

Distribute the 5

105 +5b-2b =18

Combine like terms

105 +3b =18

Subtract 105 from each side

105-105 +3b = 18-105

3b = -87

Divide each side by 3

3b/3 =-87/3

b = -29

if b = -29, we can substitute it into a =21+b

a = 21-29

a = -8

5 0
3 years ago
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