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3 years ago

How Many Solutions are there to the equation below

Mathematics

2 answers:

ExtremeBDS [4]3 years ago

7 0

No solutions would be correct so 0

tester [92]3 years ago

7 0

Answer:

b. 0

Step-by-step explanation:

We have been given an equation $5x-8(x+5)=6-3x$ . We are asked to find the number of solutions for our given equation.

Let us solve our given equation. Using distributive property $a(b+c)=ab+ac$ , we will get:

$5x-8*x-8*5=6-3x$

$5x-8x-40=6-3x$

$-3x-40=6-3x$

Adding 3x on both sides of our equation, we will get:

$-3x+3x-40=6-3x+3x$

$-40=6$

Since both sides of our given equation are not equal, therefore, our given equation has no solution and option 'b' is the correct choice.

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The following a function (6,3), (-1,2), (-1,-1), (4,3)

Akimi4 [234]

for an expression or relation to be a function, it must not have any x-coordinate values repeated, let's check this one

$\bf (6,3), (\stackrel{\stackrel{rep eated}{\downarrow }}{-1},2), (\stackrel{\stackrel{rep eated}{\downarrow }}{-1},-1), (4,3)\qquad \textit{not a function}$

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2 years ago

Which is equivalent to -√10 3/4^x?

Galina-37 [17]

3√10^4x is equivalent to -√10 3/4^x and -4√10^3x they are all equivalent

4 0

3 years ago

Read 2 more answers

Jim spent $46.16 on some mulch and one shovel. Each bag of mulch costs $3.49 and the shovel cost $14.75. How many bags of mulch

mezya [45]

To find the amount he spent on bags of mulch you must take the cost of the shovel away from the total, giving the equation:
46.16-14.75=3.49x
To covert this to whole numbers, multiply by 100
4616-1475=349x
3141=349x
x=9

4 0

3 years ago

Determine the most precise name for ABCD (parallelogram, rhombus, rectangle, or square). Explain how you determined your answer.

Sonja [21]

<h3>Answer: Rhombus</h3>

======================================================

Reason:

Let's find the distance from A to B. This is equivalent to finding the length of segment AB. I'll use the distance formula.

$A = (x_1,y_1) = (3,5) \text{ and } B = (x_2, y_2) = (7,6)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(3-7)^2 + (5-6)^2}\\\\d = \sqrt{(-4)^2 + (-1)^2}\\\\d = \sqrt{16 + 1}\\\\d = \sqrt{17}\\\\d \approx 4.1231\\\\$

Segment AB is exactly $\sqrt{17}$ units long, which is approximately 4.1231 units.

If you were to repeat similar steps for the other sides (BC, CD and AD) you should find that all four sides are the same length. Because of this fact, we have a rhombus.

-------------------------

Let's see if this rhombus is a square or not. We'll need to see if the adjacent sides are perpendicular. For that we'll need the slope.

Let's find the slope of AB.

$A = (x_1,y_1) = (3,5) \text{ and } B = (x_2,y_2) = (7,6)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{6 - 5}{7 - 3}\\\\m = \frac{1}{4}\\\\$

Segment AB has a slope of 1/4.

Do the same for BC

$B = (x_1,y_1) = (7,6) \text{ and } C = (x_2,y_2) = (6,2)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{2 - 6}{6 - 7}\\\\m = \frac{-4}{-1}\\\\m = 4\\\\$

Unfortunately the two slopes of 1/4 and 4 are not negative reciprocals of one another. One slope has to be negative while the other is positive, if we wanted perpendicular lines. Also recall that perpendicular slopes must multiply to -1.

We don't have perpendicular lines, so the interior angles are not 90 degrees each.

Therefore, this figure is not a rectangle and by extension it's not a square either.

The best description for this figure is a <u>rhombus</u>.

4 0

1 year ago

Read 2 more answers

Twenty people each had 36 carrots. How many carrots are there altogether?

elena-s [515]

You know that there are 25 people and each person had 36 carrots. To find how many carrots everyone has in total, you have to multiply 25 by 36.

25 times 36 is 900.

There are 900 carrots altogether.

7 0

2 years ago