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Daniel [21]
2 years ago
14

Which value, when placed in the box, would result in a system of equations with infinitely many solutions?

Mathematics
2 answers:
liraira [26]2 years ago
5 0

Answer:12

Step-by-step explanation:

Oduvanchick [21]2 years ago
4 0

Answer:

The value is 12

Step-by-step explanation:

we have

y=-2x+4

Convert to standard form

2x+y=4 ----> equation A

Let

a ----> the missing value

6x+3y=a ----> equation B

we know that

If the system of equations A and B has infinitely solutions, then equation A and equation B are identical

Multiply equation A by 3 both sides

3(2x+y)=3(4)

6x+3y=12 ----> new equation A

Equate new equation A and equation B

a=12

therefore

The value is 12

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Which statement is true?
SVEN [57.7K]

Answer:

y=log_{1} x is not a logarithmic function because the base is equal to 1.

Step-by-step explanation:

A logarithmic function is of the form: y=log_{b}x

For a logarithmic function to exist, we must fulfill certain conditions. The conditions are

i. The base, b, is greater than 0. {b>0)

ii. The base, b, is not equal to 1. (b\ne 1)

iii. x must be greater than 0. (x>0)

Now, if we observe all the choices given, we conclude that the third choice is correct as the base there is 1. If base is equal to 1, then it violates the definition of logarithmic functions. So, the correct choice is:

y=log_{1} x is not a logarithmic function because the base is equal to 1.

6 0
3 years ago
Read 2 more answers
adam prepares a meal of shrimp and brown rice. it must contain exactly 6 g of fat and 10 mg of iron. each 5oz serving of shrimp
jasenka [17]

Answer:

Adam needs 9/8 of a 5oz serving of shrimps (which equals to 5.625 oz) and 5/8 of a cup of brown rice (which is around 10 tablespoons).


Explanation:

You are given:

every serving of shrimp contains 2g of fat and 5mg of iron;

every serving of rice contains 6g of fat and 7mg of iron;

each meal should have 6g of total fat and 10mg of total iron.


You need to set a system of equation: let's call

s = quantity of shrimps

r = quantity of rice

The equation for the total fat will be: the quantity of fat in the serving of shrimps plus the quantity of fat in the serving of rice must be equal to 6g

2s + 6r = 6    (1)

Similarily:

the quantity of iron in the serving of shrimps plus the quantity of iron in the serving of rice must be equal to 10g

5s + 7r = 10     (2)


In order to solve the system, solve for s in equation (1):

s = (6-6r)/2 = 3 - 3r        (3)

Substitute in equation (2):

5(3 - 3r) + 7r = 10

and solve for r:

15 - 15r + 7r = 10

8r = 5

r = 5/8

Substitute the value of r in equation (3):

s = 3 - 3×5/8 = 9/8


Therefore Adam would need 9/8 of a 5oz serving of shrimps and 5/8 of a 1 cup of brown rice for each meal.

6 0
2 years ago
I have a slope of -4 (m=-4), would that be negative four over positive one or would that be negative 4 over negative one?
katrin [286]
If you have a slope of -4 then it would be -4/1 because rise/run. If it were -4/-1 then the slope would be 4.
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3 years ago
Find f( 3y ) if f(x) = - 2x + 3. SHOW YOUR WORK
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What is the sum of 5/12 and 1/3. Write the answer in simplest form
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Answer:

Step-by-step explanation:\frac{5}{12}

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