true or false:
the following equation is in standard form.
(x - 4.2)^2 - 3 = 0

Answer:

{3, 5, 7}

Step-by-step explanation:

From our knowledge of mapping, the domain is mapped to a range as given in the diagram above, the first set given is the domain while the seet which the arrow points to is the range, therefore, in simple terms, the range of the diagram given is the set {3 5, 7}

Given:

The slope of the line is -3.

The line passes through the point (2,-2).

To find:

The point-slope form of the line.

Solution:

Point slope form: If a line passes through the point [tex](x_1,y_1)[/tex] with slope m, then the point-slope form of the line is:

[tex]y-y_1=m(x-x_1)[/tex]

The slope of the line is -3 and it passes through the point (2,-2). So, the point-slope form of the line is:

[tex]y-(-2)=-3(x-2)[/tex]

[tex]y+2=-3(x-2)[/tex]

Therefore, the required point slope form of the given line is [tex]y+2=-3(x-2)[/tex].

Answer:

x should be 9.

Step-by-step explanation:

y was multiplied by 3 (7 x 3 = 21), so multiply the value of x by 3 as well to get 9.

Step-by-step explanation:

the correct one is a = (-b)/2

Answer:

The absolute deviation at 19 is 3.

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

|19-16|=3

subtract mean from expected value

Answer:

0.0336 = 3.36% probability that a teenager spends less than 90 minutes watching videos on their phone per week.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

A study indicates that teenagers spend an average of 112 minutes watching videos on their smartphones per week. Assume the distribution is normal, with a standard deviation of 12 minutes.

This means that [tex]\mu = 112, \sigma = 12[/tex]

What is the probability that a teenager spends less than 90 minutes watching videos on their phone per week?

This is the p-value of Z when X = 90. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{90 - 112}{12}[/tex]

[tex]Z = -1.83[/tex]

[tex]Z = -1.83[/tex] has a p-value of 0.0336

0.0336 = 3.36% probability that a teenager spends less than 90 minutes watching videos on their phone per week.

Answer:

Step-by-step explanation:

y = A sin(B(x + C)) + D

amplitude is A = (5 - -1)/2 = 3

period is 2π/B = 4 ==> B = .5π

phase shift is C (positive is to the left) = 0

vertical shift is D = 2

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

y = 3sin(.5πx) + 2

Answer:

Step-by-step explanation:

In the image you can see the amplitude is 6/2=3

also you can see that the curve is shifted upwards 2 units

regarding to the frequency of the function, we can notice the it has a period of 4

[tex]w=\frac{2\pi}{\Gamma}=\frac{2\pi}{4}=\frac{\pi}{2}[/tex]

finally, the equation will be:

[tex]f(x)=2+3sin(\frac{\pi}{2}x)[/tex]

See the full equation on the attached image

Answer:

Change the value from negative to positive

Or

Change the value from positive to positive

Step-by-step explanation:

It is very simple

Any number's absolute value should be positive

Let's say absolute value of 3 - >answer is 3

But absolute value of - 3 - > is also 3

Hope you understood it.

Answer:

In math students think that the function just removes negative signs, and actually that is basically what happens...

BUT !!! the definition that you want is that absolute value is a measure of how far (distance) you are from ZERO.... and note that distances are not negative...

If you run out of gas one mile in front of behind a gas station, you have to travel "one mile" you don't walk "negative one mile"...

forward one mile or backward one mile are both "one mile" just in different directions

Step-by-step explanation:

Given:

The two points on the graph.

To find:

The distance between the two points in simplest radical form.

Solution:

From the given graph, it is clear that the two points on the graph are (-9,3) and (-3,-2).

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using the distance formula, the distance between two points (-9,3) and (-3,-2) is:

[tex]d=\sqrt{(-3-(-9))^2+(-2-3)^2}[/tex]

[tex]d=\sqrt{(-3+9)^2+(-5)^2}[/tex]

[tex]d=\sqrt{(6)^2+(-5)^2}[/tex]

On further simplification, we get

[tex]d=\sqrt{36+25}[/tex]

[tex]d=\sqrt{61}[/tex]

Therefore, the distance between the given points is [tex]\sqrt{61}[/tex] units.

Answer:

it gotta be d cause i went with my instinct.

Step-by-step explanation:

solve write it out.

-3

Step-by-step explanation:

it is -3 because the line touches -3 on the y-intercept

Answer:

View the graph for a visual

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]f(x)=xe^{\frac{x}{2} } \\f'(x)=x*\frac{1}{2} e^{\frac{x}{2} } +e^{\frac{x}{2} } =e^{\frac{x}{2} } (\frac{x}{2} +1)\\[/tex]

f'(x)=0, gives x=-2

we find f(x) at x=-3,-2,1

f(-3)=-3e^(-3/2)≈-0.67

f(-2)=-2e^(-2/2)=-2e^{-1}=-2/e≈-0.74

f(1)=1 e^(1/2)=√e≈1.65

Answer:

its 9 plus 9 and equals 19.0

Answer:

Diverges

Step-by-step explanation:

It will diverge due to my calculations

Answer:

10

Step-by-step explanation:

Answer: The median is 10

Step-by-step explanation:

Answer:

Plays no role in determining the feasible region of the problem.

Step-by-step explanation:

A Constraints

These are refered to as the restrictions that hinders or reduces the extent to which the/an objective can be worked on/pursued.

A redundant constraint

These are constraints that can be ignored from a system of linear constraints. It is often refered to as an Implied constraints. That is, they are implied by the constraints that surrounds (totality of) the problem.

This is a type of constraint that is not influenced or affected by the feasible region.

Its qualities includes

1. It does not hinders the optimal solution.

2. It also do not hinders the feasible region.

3. It is easily known with the use of graphical solution method

Answer:

92

Step-by-step explanation:

[tex]d = rt[/tex]

[tex]2r = 184[/tex]

[tex]r = \frac{184}{2} = 92[/tex]

Just to check the answer:

[tex]r = \frac{276}{3} = 92[/tex]

[tex]r = \frac{368}{4} = 92[/tex]

Answer:

The inequality that represents the graph is:

[tex]y\leq \frac{2}{3}x+2[/tex]

Step-by-step explanation:

First of all, we need to get the equation of the linear function. We need to choose two points using the graph.

The first point would be (-3,0)

The second point would be (6,1)

The equation of a line is:

[tex]y=mx+b[/tex]

m is the slope and can be calculated using the points chossen.

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex]m=\frac{1+3}{6-0}[/tex]

[tex]m=\frac{4}{6}[/tex]

[tex]m=\frac{2}{3}[/tex]

Now, using one point we will find the b value. Let's chose (-3,0)

[tex]0=m(-3)+b[/tex]

[tex]0=(\frac{2}{3})(-3)+b[/tex]

[tex]0=-2+b[/tex]

[tex]b=2[/tex]

Then, the linear equation is:

[tex]y=\frac{2}{3}x+2[/tex]

Now, all the allowed values are below the function, therefore the inequality will be:

[tex]y\leq \frac{2}{3}x+2[/tex]

I hope it helps you!

Answer:

German

Step-by-step explanation:

Given :

Number of people who spoke French as first language in 2000 = 7.7 * 10^7 ; in standard form ;

7.7 * 10^7 = 7.7 * (10 * 10* 10 * 10* 10* 10 * 10) = 77,000,000 = 77 million

Number of people who spoke German as first language in 2000 = 1 * 10^8 ; in standard form ;

1 * 10^8 = 1 * (10 * 10* 10 * 10* 10* 10 * 10 * 10) = 100,000,000 = 100 million

German had more speakers

Answer:

1/728

Step-by-step explanation:

333/242424 =

1/728

Answer:

x < 22

Step-by-step explanation:

12x < 264

Divide each side by 12

12x/12 < 264/12

x < 22

Given that,

12x < 264

Not we can divide each side by 12,

→ 12x/12 < 264/12

→ x < 22

So, option (B) is correct answer.

9514 1404 393

Answer:

  f(x) → ∞ as |x| → ∞

Step-by-step explanation:

The degree is even and the leading coefficient is positive. When the magnitude of x gets large (either positive or negative), the value of f(x) will be a large positive number.

  f(x) → ∞ as |x| → ∞

Answer:

Step-by-step explanation:

1. 52:39

Divide both sides by 13:

= 4:3.

2.  4/16 : 23

= 1/4 : 23

= 1 :92.

3. 8:56

= 1:7.

4. ?

5. 40 cm 5 m

= 40 : 500

= 4:50

= 2:25.

Answer:

one

[tex] \frac{1}{2} (x + 12) = 4x - 1 \\ x + 12 = 8x - 2 \\ 7x = 14 \\ x = 2[/tex]

Answer:

[tex]3\sqrt{10}[/tex]

Step-by-step explanation:

Answer:

1x1=1

9x6 =54

18×6=108

54×6=324

10x2=​20

Step-by-step explanation:

Answer:

4x+172

Step-by-step explanation:

x+54 +3x+28+90

Combine like terms

x+3x  + 54+28+90

4x   + 172

Answer:

[tex] \large \sf \fbox{4x - 172}[/tex]

Step-by-step explanation:

➛ x + 54 + 3 x + 28 + 90

combine like terms

➛ x + 3 x + 54 + 28 + 90

➛ 4 x + 172