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Ierofanga [76]
2 years ago
9

In the following system of equations, determine whether the system has a unique

Mathematics
1 answer:
Rina8888 [55]2 years ago
5 0

Answer:

the system has a unique solution

Step-by-step explanation:

Start with an equation of a line in standard form,

ax + by = c

Solve it for y to put it into the slope-intercept form:

by = -ax + c

y = -\dfrac{a}{b}x + \dfrac{c}{b}

The slope is -a/b.

Now look at your system of equations. The slope of the first equation is -a/b = -2/3. The slope of the second equation is -a/b = -6/5.

You have a system of two linear equations with two lines with different slopes, so the lines must intersect at a single point.

Answer: the system has a unique solution

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The scale of this map is 1 inch = 50 miles. The ruler measures the distance between Gary, Indiana, and Traverse City, Michigan,
levacccp [35]

Answer:

<em>150 miles</em>

Step-by-step explanation:

Given the scale on the map using the conversion factor

1 inch = 50 miles

We are to find the equivalent miles between the cities in miles if the distace is 3inches

3inches = x

Divide both expressions

1/3 = 50/x

Cross multiply

x = 3 * 50

x = 150

<em>Hence the actual distance between these two cities in miles is 150 miles </em>

6 0
2 years ago
if ( in one month ) I make a total of 15 calls at standard hours, what is the difference in cost between the two contracts ? ans
Olenka [21]

Answer:

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5 0
3 years ago
Use the distributive property to find the missing number.<br> __× (9 + 8) = (15 × 9) + (15 × 8)
BARSIC [14]

Answer:

The missing number is 15

5 0
2 years ago
If f(x) = -3x - 5 and g(x) = 4x - 2, find (f+ g)(x)
Sergeeva-Olga [200]

Answer:

(f+g)(x)=f(x)+g(x)

=(-3x-5)+(4x-2)

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8 0
2 years ago
40 employees increased by 15% use the percent of change to find new amohnt
Neko [114]
Answer=46 employees

40 employees
15% increase

100%+15%=115%

115%=1.15

40*1.15=46 employees



6 0
2 years ago
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