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3 years ago

What is the name for the distance a number is from zero

Mathematics

1 answer:

Mama L [17]3 years ago

4 0

Answer: Absolute value

Step-by-step explanation: Absolute value means <em>distance from zero</em> on a number line. We represent the absolute value of a number by using a vertical bar on either side of the number. Absolute value will always be positive except for 1 special case which I provided in the image attached.

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Solve 0 = (x – 4)2 – 1 by graphing the related function.

fomenos

Answer:

Therefore, the solutions of the quadratic equations are:

$x=5,\:x=3$

The graph is also attached.

Step-by-step explanation:

The solution of the graph could be obtained by finding the x-intercept.

$y=\left(x-\:4\right)^2-1$

Finding the x-intercept by substituting the value y = 0

$y=\left(x-\:4\right)^2-1$

$\:0\:=\:\left(x\:-\:4\right)^2\:-\:1$ ∵ y = 0

$\left(x-4\right)^2-1=0$

$\left(x-4\right)^2-1+1=0+1$

$\left(x-4\right)^2=1$

$\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}$

$\mathrm{Solve\:}\:x-4=\sqrt{1}$

$\mathrm{Apply\:rule}\:\sqrt{1}=1$

$x-4=1$

$x=5$

$\mathrm{Solve\:}\:x-4=-\sqrt{1}$

$\mathrm{Apply\:rule}\:\sqrt{1}=1$

$x-4=-1$

$x=3$

So, when y = 0, then x values are 3, and 5.

Therefore, the solutions of the quadratic equations are:

$x=5,\:x=3$

The graph is also attached. As the graph is a Parabola. It is visible from the graph that the values of y = 0 at x = 5 and x = 3. As the graph is a Parabola.

8 0

3 years ago

Use compatible numbers to estimate the quotient 2,545÷4

victus00 [196]

Answer:

600

Step-by-step explanation:

round 2,545 to 2,400 and keep 4 the same because 24 goes into 4 six times so 2400/4 equals 600

24/4 is 6 and you add the two zeros

3 0

2 years ago

I NEED HELP PLEASE !!!!

Vinvika [58]

Answer:

Step-by-step explanation:

7 0

2 years ago

Write the equation of the line that passes through the given points. (0,3) and (-17,1)

Zina [86]

Answer:

the equation: y=2/17x+3

the slope: 2/17

Step-by-step explanation:

4 0

2 years ago

A newsletter publisher believes that below 68% of their readers own a Rolls Royce. Step 1 of 1 :State the null and alternative h

Vanyuwa [196]

The null hypothesis is p = 0.68 while the alternative hypothesis will be that it's below that is p < 0.68.

First, let us understand the Null and Alternative hypotheses:

The null hypothesis is simply to predict that there is no effect of the relationship between the variables.

The alternative hypothesis is to state the research prediction of a relationship or effect. In this case, the newsletter publisher believes that below 68% of their readers own a Rolls Royce.

The null hypothesis is that the proportion of readers who own a Rolls Royce is equal to 0.68.

Null hypotheses = H₀: p = 0.68

The alternate hypothesis is that the proportion of readers who own a Rolls Royce is below 0.68.

Alternate hypotheses = H₁: p < 0.68.

Thus, the null hypothesis is p = 0.68 while the alternative hypothesis will be that it's below that is p < 0.68.

To learn more about the Null and Alternative hypotheses visit:

brainly.com/question/25263462

#SPJ9

4 0

10 months ago