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Lerok [7]
2 years ago
7

What is the value of x?

Mathematics
1 answer:
Anit [1.1K]2 years ago
7 0

Answer:

Step-by-step explanation:

Set this up according to the Triangle Proportionality Theorem:

\frac{3x}{4x}=\frac{3x+7}{5x-8}

Cross multiply to get

3x(5x-8)=4x(3x+7)

and simplify to get

15x^2-24x=12x^2+28x

Get everything on one side of the equals sign and solve for x:

3x^2-52x=0 and

x(3x-52)=0

By the Zero Product Property,

x = 0 or 3x - 52 = 0 so x = 17 1/3

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What is the y-intercept of the function, represented by the table of values
AleksandrR [38]

Answer:

9

Step-by-step explanation:

The table is given below

\left|\begin{array}{c|cc}x&y\\--&--\\-2&15\\1&6\\2&3\\4&-3\\7&-12\end{array}\right|

We can see that the table represents a linear function since by checking its slope.

Using:

  1. Points (-2,15) and (1,6)
  2. Points (1,6) and (2,3)

Slope =\dfrac{6-15}{1-(-2)} =\dfrac{3-6}{2-1}=-3

Therefore, the values represent a linear function.

A linear equation is of the form y=mx+b

Therefore:

y=-3x+b

Using the points (7,-12)

-12=-3(7)+b\\-12=-21+b\\b=-12+21\\b=9

Therefore, the y-intercept of the function, represented by the table of values is 9.

6 0
3 years ago
Help me please...I will mark brainliest
nekit [7.7K]

The answer is A because playing sport is not affected by playing sports (for more detail go to https://www.mathsisfun.com/data/probability-events-independent.html)

If it's not A then it's B

6 0
3 years ago
Please please answer
gizmo_the_mogwai [7]

Answer:

-5

Step-by-step explanation:

(f\circ g)(-1)=f(g(-1))=f(1-3)=f(-2)=-4-1=-5

7 0
3 years ago
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patriot [66]

Answer:if you need a question you can say “ how far did the toy car move? “

Step-by-step explanation:

6 0
3 years ago
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Which properties are present in a table that represents an exponential function in the form y-b* when b > 1?
erastovalidia [21]

Answer:

<u>Properties that are present are </u>

Property I

Property IV

Step-by-step explanation:

The function given is  y=b^x  where b > 1

Let's take a function, for example,  y=2^x

Let's check the conditions:

I. As the x-values increase, the y-values increase.

Let's put some values:

y = 2 ^ 1

y = 2

and

y = 2 ^ 2

y = 4

So this is TRUE.

II. The point (1,0) exists in the table.

Let's put 1 into x and see if it gives us 0

y = 2 ^ 1

y = 2

So this is FALSE.

III. As the x-value increase, the y-value decrease.

We have already seen that as x increase, y also increase in part I.

So this is FALSE.

IV. as the x value decrease the y values decrease approaching a singular value.

THe exponential function of this form NEVER goes to 0 and is NEVER negative. So as x decreases, y also decrease and approached a value (that is 0) but never becomes 0.

This is TRUE.

Option I and Option IV are true.

3 0
3 years ago
Read 2 more answers
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