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ioda
2 years ago
15

Rob is a high school student taking both algebra and geometry. Last night he had 27 homework problems combined from the two clas

ses, and he took a total of 90 minutes Which value of k would cause the system of linear equations 35 x + 14 y = 119 and 5 x + 2 y = k to have an infinite number of solutions?
3
7
17
21
Mathematics
1 answer:
Grace [21]2 years ago
5 0

A system of the equation to be Dependent Consistent System the system must have multiple solutions. The correct option is C.

<h3>What is a System of equation?</h3>

Inconsistent System

A system of equations to have no real solution, the lines of the equations must be parallel to each other.

Consistent System

1. Dependent Consistent System

A system of the equation to be Dependent Consistent System the system must have multiple solutions for which the lines of the equation must be coinciding.

2. Independent Consistent System

A system of the equation to be Independent Consistent System the system must have one unique solution for which the lines of the equation must intersect at a particular.

For the system of equations to have infinite number of solutions, the lines of the equations must coincide, therefore, the line must overlap on each other.

For the lines to overlap the equations must be in a ratio. Therefore, the ratio of the left sides of the equations must be equal to the right side,

\dfrac{35x+14y}{5x+2y} = \dfrac{119}{k}\\\\\\\dfrac{7(5x+2y)}{5x+2y} = \dfrac{119}{k}\\\\\\\dfrac71 = \dfrac{119}{k}\\\\k = 17

Hence, the value of k must be 17, therefore, the correct option is C.

Learn more about System of equation:

brainly.com/question/12895249

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malfutka [58]

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<u>Step-by-step explanation:</u>

If a coordinate is reflected across the y-axis, the y-coordinate stays the same but the x-coordinate changes signs.

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3 0
3 years ago
Angel bought a 4 cups of freshly squeezed lemon juice. Be used 1/3 of a cup while making homemade lemonade. How many cups of lem
Debora [2.8K]

Answer:

12

Step-by-step explanation:

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7 0
3 years ago
a bathtub is in the shape of a rectangular prism. its dimensions are 5 feet by 3 feet by 18 inches. the bathtub is three-fourths
crimeas [40]
The bathtub has dimensions 5 ft by 3 ft by 18 inches.
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The volume of the bathtub is
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6 0
3 years ago
Which is the factorization of 8x^2+13-6
QveST [7]
(8x+3)(x-2)


Explanation

8x^2-13x-6
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3 0
3 years ago
Which expression is equivalent to 64x^3-343
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Answer:

B:  (4x - 7)(16x^2 + 28x + 49)

Step-by-step explanation:

64x^3-343 can be rewritten as 4^3x^3 - 7^3 or (4x)^3 - 7^3.  This is the difference of two cubes.  The appropriate formula for factoring such is

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our (4x)^3 - 7^3 = (4x - 7)(16x^2 + 28x + 49).  This is Answer B.

4 0
3 years ago
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