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Likurg_2 [28]
2 years ago
15

What are the x- and y-intercepts of the line shown below?

Mathematics
2 answers:
natima [27]2 years ago
8 0

Answer:

B

Step-by-step explanation:

Rudiy272 years ago
5 0
Maybe D because both numbers are positive and use the process of rise and run . The run of this equation is the horizontal line which is the Y and the left vertical line which represents the Rise w which is the X is 4
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Mathematical Statement Justification
olya-2409 [2.1K]

Answer:

B

Step-by-step explanation:

1. Given mathematical statement

4x+3=x+5-2x

So,

\begin{array}{cc}4x+3=x+5-2x&\text{ Given}\end{array}

2. Rewrite it as

4x+3=x-2x+5

So,

\begin{array}{cc}4x+3=x-2x+5&\text{ Commutative property of addition}\end{array}

3. Combine like terms x and -2x:

4x+3=-x+5

So,

\begin{array}{cc}4x+3=-x+5&\text{ Combine like terms}\end{array}

4. Add x to both sides:

4x+3+x=-x+5+x\\ \\5x+3=5

So,

\begin{array}{cc}5x+3=5&\text{ Addition property of equality}\end{array}

5. Subtract 3 from both sides:

5x+3-3=5-3\\ \\5x=2

So,

\begin{array}{cc}5x=2&\text{ Subtraction property of equality}\end{array}

6. Divide both sides by 5:

x=\dfrac{2}{5}

So,

\begin{array}{cc}x=\dfrac{2}{5}&\text{ Division property of equality}\end{array}

6 0
3 years ago
Read 2 more answers
Solve for x 14 -2x = \frac{3 + x}{2}
Stels [109]
I think x = 2 is the answer
6 0
3 years ago
If Dorie devotes the same number of hours to studying for these three classes each week, what is the total number of hours Kathl
expeople1 [14]

Answer:

The answer is 17.2 hours

Step-by-step explanation: Because first you add all hours together (which is 86/15) then multiple it by 3 (week) which is 86/5 = 17.2 hours

4 0
2 years ago
A food packet is dropped from a helicopter and is modeled by the function f(x) = −15x2 + 6000. The graph below shows the height
melisa1 [442]

General Idea:

Domain of a function means the values of x which will give a DEFINED output for the function.

Applying the concept:

Given that the x represent the time in seconds, f(x) represent the height of food packet.

Time cannot be a negative value, so

x\geq 0

The height of the food packet cannot be a negative value, so

f(x)\geq 0

We need to replace -15x^2+6000 for f(x) in the above inequality to find the domain.

-15x^2+6000\geq 0 \; \;  [Divide \; by\; -15\; on\; both\; sides]\\ \\ \frac{-15x^2}{-15} +\frac{6000}{-15} \leq \frac{0}{-15} \\ \\ x^2-400\leq 0\;[Factoring\;on\;left\;side]\\ \\ (x+200)(x-200)\leq 0

The possible solutions of the above inequality are given by the intervals (-\infty , -2], [-2,2], [2,\infty ). We need to pick test point from each possible solution interval and check whether that test point make the inequality (x+200)(x-200)\leq 0 true. Only the test point from the solution interval [-200, 200] make the inequality true.

The values of x which will make the above inequality TRUE is -200\leq x\leq 200

But we already know x should be positive, because time cannot be negative.

Conclusion:

Domain of the given function is 0\leq x\leq 200

4 0
3 years ago
Read 2 more answers
You have a bag of chocolate candy. Ten of them are red, 7 are brown, 12 are green, and 9 are blue. What is the probability that
Brrunno [24]

It would be \frac{10}{38}, or, in simplest form, \frac{5}{19}.

You get this by adding all the marbles to find the total number of marbles. <em>10+7+12+9</em>, which equals <em>38</em>.

You have <u>10 red marbles out of 38 total</u>, so that is represented by \frac{10}{38}!

5 0
3 years ago
Read 2 more answers
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