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notsponge [240]
3 years ago
13

Find the value of x so that the function has the given value. j(x)=−4/5x+7; j(x)=−5

Mathematics
1 answer:
zavuch27 [327]3 years ago
4 0
Sub j(x)=-5 into the first eq.
-5=(4/5x)+7
Add 7 to both sides
2=4/5x
Muliply both sides times 5x
10x=4
Divide both sides by 10
X=4/10
Simplify
X=2/5
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Step-by-step explanation:

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2 years ago
The product of a number and negative three is twenty-seven. Which of the following could represent this statement?
Arturiano [62]

Answer:

<h2>-3n = 27</h2>

Step-by-step explanation:

The product of a number and negative three is twenty-seven.

<em>n - </em><em>a number</em>

the product of a number and negative three: <em>n · (-3) = -3n</em>

5 0
3 years ago
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Which statement best explains why the dilation of a triangle produces a similar triangle
Allushta [10]

Dilation always preserves angle measures, the given statement best explains why the dilation of a triangle produces a similar triangle

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

The dilation (similarity transformations) varies the size of the figure. This requires a midpoint and a scale factor k. The k value finds whether it is an increase or decrease.

  • If | k |> 1, the dilation is an extension.
  • If | k | <1 it is reduction.

The absolute value of k determines the size of the new image relative to the size of the original image. If the k is positive, the new and original image is on the same side of the center.

If k is negative, they are on both sides of the center. Its own image is always at the center of development. This support angle size, point equality, and collinearity. Does not maintain distance. In simple, dilation always give similar figures.

6 0
3 years ago
Does anyone know all the concepts/rules needed to learn math in college? I want to make sure I have things I need now in my seni
Mandarinka [93]

Answer:

Basic college math topics include whole numbers, fractions, numbers, decimals and integers. Problem solving, algebra, percents and geometry are also included in course content.

Step-by-step explanation:

5 0
2 years ago
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Write each of the following expressions without using absolute value: |z−6|−|z−5|, if z&lt;5
abruzzese [7]

Answer:

The answer is <em>1</em>.

Step-by-step explanation:

Given the expression:

|z-6|-|z-5|,\ if\ z

To find:

The expression without absolute value.

Solution:

First of all, let us learn about the absolute value function:

y = f(x) = |x| =\left \{ {{x\ if\ x>0} \atop {-x\ if\ x

i.e. value is x if x is positive

value is -x if x is negative

Here the given expression contains two absolute value functions:

|z-6| and |z-5|

Using the definition of absolute value function as per above definition.

|z-5| =\left \{ {{(z-5)\ if\ z>5} \atop {-(z-5)\ if\ z

|z-6| =\left \{ {{(z-6)\ if\ z>6} \atop {-(z-6)\ if\ z

Now, it is given that z < 5 that means z will also be lesser than 6 i.e. z < 6

So, given expression |z-6|-|z-5|,\ if\ z will be equivalent to :

-(z-6) - (-(z-5))\\\Rightarrow -z+6 +z-5 = \bold{1}

So, the expression is equivalent to <em>1</em>.

6 0
3 years ago
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