Which statement best describes f(x)= -2 sqrt (x-7)+1

Answer:  [tex]y=\frac{1}{30}x+1[/tex]

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

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

Where "m" is the slope and "b" is the y-intercept.

You need to find slope of the line with the formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Pick to  points of the given line. You can choose the point (60,3) and the point (30,2).

Then, substituting into the formula:

 [tex]m=\frac{2-3}{30-60}=\frac{1}{30}[/tex]

You can observe in the graph that the line intercepts the y-axis at the point (0,1), therefore "b" is:

[tex]b=1[/tex]

Substituting the slope and the y-intercept found into  [tex]y=mx+b[/tex], you get the equation of this line:

 [tex]y=\frac{1}{30}x+1[/tex]

Where "y" represents the Height (1,000 ft) and "x" represents the Time in seconds.

Answer:

a line that might best estimate the data and be used for predicting values.

Choice B is correct

Step-by-step explanation:

A line of fit might be defined as;

a line that might best estimate the data and be used for predicting values.

This line connects most of the data points thus minimizing the squared residuals of the regression.

I hope this helps...

Answer:

A line of fit might be defined as:

b)  a line that might best estimate the data and be used for predicting values.

Step-by-step explanation:

Line of best fit refers to a line through a scatter plot of data points that best expresses the relationship between those points.

Line of best fit is actually a good approximation of data and is used to predict values on the graph.

[tex]|8x-4|\leq12\\4|2x-1|\leq12\\|2x-1|\leq3\\2x-1\leq3 \wedge 2x-1\geq-3\\2x\leq 4 \wedge 2x\geq-2\\x\leq 2 \wedge x\geq-1\\x\in \langle -1,2\rangle[/tex]

The solution set of the inequality |8x-4| ≤ 12 is [-1, 2]. The solution was found by breaking down the absolute value into two separate inequalities and solving them.

To solve the inequality |8x-4| ≤ 12, we use the property that |a| ≤ b is equivalent to -b ≤ a ≤ b. So, the inequality can be rewritten as -12 ≤ 8x-4 ≤ 12. We then solve these two inequalities separately.

For -12 ≤ 8x-4, first add 4 to both sides to get -8 ≤ 8x, then divide by 8 on both sides to get x ≥ -1.

For 8x-4 ≤ 12, add 4 to both sides to get 8x ≤ 16, and then divide by 8 on both sides to get x ≤ 2.

Since x has to satisfy both these inequalities, the solution set is x ≥ -1 and x ≤ 2. In interval notation, this is represented as [-1, 2].

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Answer:

[2x + 1\5] + ⅜

Step-by-step explanation:

Simply combine like-terms, then evaluate.

Answer:

Midpoint D (-a-b , c)

Third option

Step-by-step explanation:

Midpoint D

x = 1/2 (-2a - 2b) = -a - b

y = 1/2 (2c) = c

Midpoint D (-a-b , c)

Answer:  (-a-b, c)

Step-by-step explanation:

We know that the mid point of a line having endpoints [tex](x_1,y_1)[/tex] and  [tex](x_2,y_2)[/tex]  is given by :-

[tex]x=\dfrac{x_1+x_2}{2}\ , \ y=\dfrac{y_1+y_2}{2}[/tex]

In the given figure it can be seen that D is the midpoint of RT :

Since R(-2b , 2c)  and  T(-2a, 0)

Then , the midpoint D of a line having endpoints [tex](-2b,2c)[/tex] and  [tex](-2a,0)[/tex] is given by :-

[tex]x=\dfrac{-2b+(-2a)}{2}=\dfrac{2(-a-b)}{2}=-a-b\ , \ y=\dfrac{2c+0}{2}=c[/tex]

Hence , the coordinates of midpoint D = (-a-b, c)

Answer:

[tex]8(x+10)[/tex]

Step-by-step explanation:

we have the expression

[tex](8x+80)[/tex]

we know that

[tex](8x+80)=(8x+8(10))[/tex]

Factor the number 8

[tex](8x+8(10))=8(x+10)[/tex]

therefore

The expression factored is [tex]8(x+10)[/tex]

The factorization of the given expression is given as:

                                 [tex]8(x+10)[/tex]

To factor a algebraic equation means to represent it as the multiplication of the simple expressions.

( i.e. if the expression has a common multiple in each of the terms then we take  it out and represent the rest of the expression in brackets.

Also, we can express a algebraic equation by the multiplication of the factors of the expression )

We are given a expression as:

[tex]8x+80[/tex] which represents  the total amount in the account after 8 months.

and x represents the amount saved each month.

Since both the terms i.e. 8x and 80 have a common multiple as: 8

Hence, we take it out of the expression and write the resulting expression as follows:

[tex]8x+80=8(x+10)[/tex]

f(x) = 2^x

f(5) = 2^5

f(5) = 32

Answer:

No, the answer is actually a) 962

Step-by-step explanation:

Answer:

The solution of the equation is Ф = 0 or Ф = 3π/2

Step-by-step explanation:

* Lets revise some facts in trigonometry

- The identity sin² Ф + cos² Ф = 1

- By subtracting sin² Ф from both sides then cos² Ф = sin² Ф - 1

- In the rectangular plane the point (x , y) represents  (cos Ф , sin Ф)

 where x = cox Ф and y = sin Ф

- The point (1 , 0) lies on the positive part of x-axis means cos Ф = 1

 and sin Ф = 0, then Ф = 0 or 2π

- The point (-1 , 0) lies on the negative part of x-axis means cos Ф = -1

 and sin Ф = 0, then Ф = π

- The point (0 , 1) lies on the positive part of y-axis means cos Ф = 0

 and sin Ф = 1, then Ф = π/2

- The point (0 , -1) lies on the negative part of y-axis means cos Ф = 0

 and sin Ф = -1, then Ф = 3π/2

* Lets solve the problem

∵ sin Ф + 1 = cos² Ф

- To solve we must change cos² Ф to sin² Ф

∵ cos² Ф = sin² Ф - 1

- substitute cos² Ф in the equation by 1 - sin² Ф

∴ sin Ф + 1 = 1 - sin² Ф ⇒ add sin² Ф to both sides

∴ sin² Ф + sin Ф + 1 = 1 ⇒ subtract 1 from both sides

∴ sin² Ф + sin Ф = 0

- Take sin Ф as a common factor from both terms

∴ sin Ф (sin Ф + 1) = 0

- Equate each factor by 0

∴ sin Ф = 0 OR sin Ф + 1 = 0

- Remember 0 ≤ Ф < π

∵ sin Ф = 0 ⇒ from the information above

∴ Ф = 0

∵ sin Ф + 1 = 0 ⇒ subtract 1 from both sides

∴ sin Ф = -1

- From the information above

∴ Ф = 3π/2

* The solution of the equation is Ф = 0 or Ф = 3π/2

Answer:

$ 31050

Step-by-step explanation:

Step 1 : Write the formula for calculating simple interest.

Simple Interest = P x R x T

                                100

P: Principal Amount-The loan taken (30,000)

R: Interest rate at which the loan is give (6)

T: Time period of the loan in years-there are 12 months in 1 year. There are 7 months from May till June (7/12)

Step 2: Substitute values in the formula

Simple Interest = 30,000 x 6 x 7/12

                                       100

Simple Interest = $1050

Step 3: Calculate the amount due at maturity

At the maturity or the end of the time period given, the original or principal amount of the loan has to be repaid along with the simple interest.

Amount at maturity = Principal Amount + Simple Interet

Amount at maturity = 30,000 + 1050

Amount at maturity = $31050

!!

Answer:

Step-by-step explanation:

f(-2) = 3*abs(x - 2) + 1

f(-2) = 3*abs(-2-2) + 1

f(-2) = 3* abs(-4) + 1

f(-2) = 3 * 4 + 1

f(-2) = 13

===========

f(1) = 3*abs(1 - 2) + 1

f(1) = 3*abs(-1) + 1

f(1) = 3*1 + 1

f(1) = 4

Answer:

[tex]x=0[/tex]

[tex]y=-7[/tex]

Step-by-step explanation:

Let's use elimination.

We can multiply the second equation by -2 so that we can eliminate one variable from the system of equations.

[tex]-2(y=x-7)[/tex]

[tex]-2y=-2x+14[/tex]

Now we can use elimination and subtract.

[tex]y=2x-7[/tex]

[tex]-2y=-2x+14[/tex]

[tex]-y=7[/tex]

[tex]y=-7[/tex]

Now we can plug in the value of y into the first equation.

[tex]-7=2x-7[/tex]

[tex]2x=0[/tex]

[tex]x=0[/tex]

We can plug these values to check.

[tex]-7=0-7[/tex]

[tex]-7=0-7[/tex]

Answer:

1) If 3 is an odd number, then 3 times 3 is an even number.

False because multiplying odd number by an odd number also gives an odd number.

2) If 6 is less than 7, then 4 is greater than 7.

False because 4 is smaller than 6. As 6 is smaller than 7 then 4 must also be smaller.

3) Six is divisible by 3, and 10 is a multiple of 2.

True. 6/3 = 2 and 2 x 5 = 10. Both the conditions are true so it is also true.

4) The average of the data is greater than the largest value in the data, or it’s less than the largest value in the data.

True.

We have two conditions in this statement and an 'or' between them. One of the conditions is true that is "average is less than the largest value in the data". So the statement as a whole is true.

5) The slope of a linear graph is its rate of change, and the graph’s y-intercept is the initial value.

True.

6) If an equilateral triangle has equal angles, then all its angles will measure 45°.

False.

A triangle has 3 angles whose sum = 180 degrees.

For equilateral triangle each angle will measure 180/3= 60 degrees.

Answer:  2 following statements are true

The first true statement:

Six is divisible by 3, and 10 is a multiple of 2.

We know this because 6 is divisible by 3, and again proven by when we  divide 10 by 5 we get 2, so 10 is a multiple of 2.

The second true statement:

The slope of a linear graph is its rate of change, and the graph’s y-intercept is the initial value.

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

Using the rules of logarithms

• log x + log y ⇔ log(xy)

• log [tex]x^{n}[/tex] ⇔ n log x

• log x = log y ⇔ x = y

Given

3ln2 + ln8 = 2ln(4x)

ln 2³ + ln8 = ln(4x)²

ln8 + ln8 = ln 16x²

ln(8 × 8) = ln 16x²

ln 64 = 16x², hence

16x² = 64 ( divide both sides by 16 )

x² = 4 ( take the square root of both sides )

x = [tex]\sqrt{4}[/tex] = 2

Answer:

m = -2

Step-by-step explanation:

This equation is in point-slope form

The numbers added or subtracted by a variable are a coordinate point.

y + 2 --> (0,-2)

x - 3 --> (3,0)

(3,-2)

The slope is represented by the number outside of the parentheses.

Therefore, the slope of the line is -2

Answer:

-2

Step-by-step explanation:

This equation is written in point slope form

y-y1 = m(x-x1)

where (x1,y1) is a point on the line and m is the slope

y- -2 = -2(x -3)

A point on the line is (-3, -2) and the slope is -2

Answer:

The wide of river is [tex]50\ ft[/tex]

Step-by-step explanation:

In this problem we know that

Triangles DEG and DEF are congruent by ASA (Angle-Side-Angle) Congruence

therefore

EG=EF

[tex]EG=20*(2\frac{1}{2})=20*\frac{5}{2}=50\ ft[/tex]

Answer:

1/20

Step-by-step explanation:

To calculate how many potential combinations of genre and duration, we multiply the number of options in each category.

5 genres * 4 durations = 20 combinations

So for each film placed, there is a 1 in 20 chance that it will be a specific combination.

The probability that the next movie added is an action movie that is longer than 120 minutes is 1/20.

To calculate the probability that the next movie added is an action movie that is longer than 120 minutes, we need to make some assumptions, as the exact numbers of each category are not provided.

If we assume that movies are equally distributed among the different genres and durations, and there are 5 genres and 3 durations, we can conduct a probability calculation.

To calculate the probability that the next movie is an action movie longer than 120 minutes:

Calculate the probability of choosing an action movie, with 5 genres,

the probability is 1/5.

Calculate the probability of the movie being longer than 120 minutes, with 4 durations,

the probability is 1/4.

Multiply these two probabilities to get the combined probability

1/5 × 1/4 = 1/20 or 5%

Answer:

Limitation

Step-by-step explanation:

Answer:

[tex]\large\boxed{y=-(2)^x+3}[/tex]

Step-by-step explanation:

[tex]\text{A function y = a(b)}^x\ \text{has a range:}\\\\y<0\ \text{for}\ a<0\\\\y>0\ \text{for}\ a>0\\\\f(x)+n-\text{shift a graph}\ n\ \text{units up}\\f(x)-n-\text{shift a graph}\ n\ \text{units down}\\f(x+n)-\text{shift a graph}\ n\ \text{units to the left}\\f(x-n)-\text{shift a graph}\ n\ \text{units to the right}\\\\\text{We have the range}\ y<3.\ \text{Therefore}\ a<0\ \text{and}\ n=3.[/tex]

The function with a range of y < 3 among the given options is y=-(2)x +3, because it decreases by 2 for each increase in x, starting from y=3.

The function which has a range of y < 3 is y=-(2)x +3. This is an example of a linear function where the slope is negative and the y-intercept is 3. This means that the y-values (the range) will always be less than 3. This is because the value of y will decrease by 2 for every increase in x, starting from y=3. For the other functions, the range of y-values is not consistently less than 3.

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Answer:

The number is 25

Step-by-step explanation:

we have

[tex]x^{2} -10x=7[/tex]

we know that

[tex]10/2=5[/tex]

so

Adds [tex]5^{2}[/tex] both sides

[tex]x^{2} -10x+5^{2}=7+5^{2}[/tex]

[tex]x^{2} -10x+25=7+25[/tex]

[tex]x^{2} -10x+25=32[/tex]

Rewrite as perfect squares

[tex](x-5)^{2}=32[/tex]

Remember:

SOH-CAH-TOA

(Sine = [tex]\frac{opposite}{hypotenuse}[/tex] - Cos = [tex]\frac{adjacent}{hypotenuse}[/tex] - tan = [tex]\frac{opposite}{adjacent}[/tex])

For angle H the sin ratio is...

side FG (5) is opposite angle H

side HF (13) is the hypotenuse

so...

sinH = [tex]\frac{5}{13}[/tex]

For angle F the sin ratio is...

side HG (12) is opposite angle F

side HF (13) is the hypotenuse

so...

sinF = [tex]\frac{12}{13}[/tex]

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

y-7=-(5/3)(x+3)

Step-by-step explanation:

step 1

Find the slope of the line that is perpendicular to 3x-5y=80

we have

3x-5y=80

5y=3x-80

y=(3/5)x-16

The slope of the given line is m1=3/5

Remember that

If two lines are perpendicular, then the product of their slopes is equal to -1

so

m1*m2=-1

Find m2

(3/5)*m2=-1

m2=-5/3

step 2

Find the equation of the line into point slope form

y-y1=m(x-x1)

we have

m=-5/3

point (-3,7)

substitute

y-7=-(5/3)(x+3) ----> equation of the line into point slope form

Answer:

126.

Step-by-step explanation:

Using long division:

        1 2 6

       ---------

36 ) 4536

       36

       ---

         93

          72

          ---

          216

          216

           ----

Answer:

126

Step-by-step explanation:

you divide 4536 and 36 and you get 126 as your quotient

Step-by-step explanation:

7(x + 6) = 42

distributive property:  a(b + c) = ab + ac

(7)(x) + (7)(6) = 42

7x + 42 = 42

subtraction property of equality  (subtract 42 from both sides)

7x + 42 - 42 = 42 - 42

7x = 0

division property of equality   (divide both sides by 7)

7x : 7 = 0 : 7

x = 0

Answer:

1. Distributive property: a(b + c) = a.b + a.c

2. Property of subtraction of equality

3. Property of division of equality

Step-by-step explanation:

The given equation is 7x + 42 = 42

7(x+6)=42    [Distributive property: a(b + c) = a.b + a.c]

7x+42=42   [Property of subtraction of equality]

Subtract 42 from both sides.

7x + 42 - 42 = 42 - 42

7x=0  

Property of division of equality

Divide both sides by 7.

x=0

Answer:

9

Step-by-step explanation:

Answer:

b=12 , a=6[tex]6 \sqrt{3}[/tex] , c=6[tex]\sqrt{2}[/tex]

Step-by-step explanation:

based on the graph you are showing, you can use  "SOH CAH TOA"

for right triangles, then you use "CAH" for get b:

[tex]Cos(60)=\frac{6}{b}\\b*Cos(60)=6\\b*\frac{1}{2}=6\\ b=6*2\\b=12\\\\[/tex]

you do the same for a, but in this case you use sin, not cos:

[tex]sin(60)=\frac{a}{b} \\b*sin(60)=a\\\\12*\sqrt{3}/2=a\\ 6\sqrt{3}=a\\[/tex]

and with your b value, you can get c, but now you use Cos with the 45 angle:

[tex]b*cos(45)=c\\12*\sqrt{2}/2=c\\ 6\sqrt{2}=c[/tex]

remember SOH CAH TOA means, Sin(x)=opposite/Hypotenuse, Cos(x)=adjacent/hypotenuse, and tan(x)=Opposite/adjacent.

Answer:

Option (C): 8x^4yz^4√2yz

Step-by-step explanation:

Math. Give me Brainliest please?

Answer:

B) symmetric

Step-by-step explanation:

We will find the sample space for rolling two dices first

Here first value in ordered pair represents yellow die and second represents blue die

(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)

The subtraction gives us:

0 , -1 , -2, -3, -4, -5, 1, 0, -1, -2, -3, -4, 2, 1, 0, -1, -2, -3, 3, 2, 1, 0, -1, -2, 4, 3, 2, 1, 0, -2, 5, 4, 3, 2, 1, 0

So the distribution will be as follows:

X      5       4       3       2        1        0        -1       -2      -3       -4      -5

P(X)  1/36  2/36  3/36 4/36  5/36  6/36  5/36  4/36  3/36  2/36  1/36

By observing the probabilities, we can conclude that the distribution will be symmetric

Hence, Option B is correct ..

Answer:

its B symmetric

Step-by-step explanation:

got it right on ed

[tex]\bf 9x^2+2=10x\implies 9x^2-10x+2=0 \\\\[-0.35em] ~\dotfill\\\\ \qquad \qquad \qquad \textit{discriminant of a quadratic} \\\\\\ \stackrel{\stackrel{a}{\downarrow }}{9}x^2\stackrel{\stackrel{b}{\downarrow }}{-10}x\stackrel{\stackrel{c}{\downarrow }}{+2}=0 ~~~~~~~~ \stackrel{discriminant}{b^2-4ac}= \begin{cases} 0&\textit{one solution}\\ positive&\textit{two solutions}~~\checkmark\\ negative&\textit{no solution} \end{cases} \\\\\\ (-10)^2-4(9)(2)\implies 100-72\implies 28[/tex]

Answer:

Step-by-step explanation:

A double-blind study is a study where neither participants nor experimenters know which subjects are receiving the treatment.

This method is really useful to minimize possible biased conclusions about the experiment.

Therefore, the right answer is C, the situation described refers to a double-blind study.

A double-blind study is an experimental design in which both the subjects and experimenters are unaware of the treatment or control group assignments, thereby reducing bias and increasing the reliability of the study's findings.Therefore, the correct answer is option C.

An experiment where neither the subjects nor the experimenters know which subjects are in the treatment or control group is best described as a double-blind study.

This type of research design is crucial to prevent biases from affecting the outcome of clinical trials or other medical studies. In a double-blind study, both the participants and researchers are 'blind' to the assignments, thereby reducing the risk of placebo effects or experimenter bias influencing the results.

Experiments in the field of medicine often use this design to test the efficacy of new drugs, treatments, or interventions in the most unbiased way possible.

A control group that receives a placebo is essential in these experiments to compare the actual efficacy of the experimental treatment against no treatment or a standard treatment.