A function is a rule thats assigns each value of the independent variable to exactly ____ value of he dependent variable.

Free response:

Answer:

X intercepts (41/2, 0), Y  intercepts (0, -41)

Step-by-step explanation:

I hope this helps, if it doesn't then just message me, and ill be more than happy to help :)

The domain and range of function f(x) = 2x - 41 is domain (-∞,∞) and range is (0,∞).

A relation is a function if it has only One y-value for each x-value.

The domain of a function is the set of values that we are allowed to plug into our function.

This set is the x values in a function such as f(x).

The range of a function is the set of values that the function assumes.

The function f(x) = 2x - 41 is a linear function.

As a linear function, the domain is all real numbers, and the range is also all real numbers.

So the domain is (-∞,∞) and range is (0,∞)

Hence,  the domain and range of function f(x) = 2x - 41 is domain (-∞,∞) and range is (0,∞).

To learn more on Functions click:

https://brainly.com/question/30721594

#SPJ5

DE is the segment parallel to the side BC. The triangles have sides AB, BC, and CA. D, E, and F are the three sides' midpoints.

A triangle is a three-sided polygon. It is one of the most fundamental geometric forms.

The sides of the triangles are AB, BC, and CA.The mid points of the three sides are D, E, and F.

The new triangle sides are DE, EF, and FD. We can visualize the triangle as DEF given in the attachment.

Hence, DE is the segment parallel to side B.

To learn more about the triangle, refer to:

https://brainly.com/question/2773823

#SPJ1

No. Because the x is raised to the 2nd power the equation is not linear.

Answer:

d.

Step-by-step explanation:

The parent graph is shifted right 2 and down 2

The volume of the cylinder shown below is 252πcm³

The formula for calculating the volume of a cylinder is expressed as:

V = πr²h

where:

r is the radius

h is the height

Given the following

radius = 6 units

height = 7 units

Substitute

V = πr²h

V = π(6)²(7)

V = 252πcm³

Hence the volume of the cylinder shown below is 252πcm³

Learn more on volume of a cylinder here: https://brainly.com/question/9554871

#SPJ1

Answer: 1.44

Step-by-step explanation:

(original price) - (1/6 of the original price) = 1.20

If you let x = original price, then the equation is:

x - 1/6 x = 1.20

5/6 x = 1.20

x = 1.44

the original price is £1.44.

Credits to the person who also answered :)

I hope this helps!

Answer:

£1.44

Step-by-step explanation:

Since the original price was reduced by 1/6, that means the new price is 5/6 of the original price.

Let x = original price.

Write an equation and solve it.

5/6 x = £1.20

x = £1.20 × 6/5

x = £1.44

Answer: -1+3=2 and -1×3=-3

Step-by-step explanation:

This is the best answer I could give. I hope this helps!! :)

In the ΔIJH, the value of the cosec (I) is [tex]1\frac{9}{56}[/tex].

Given ΔIJH the length of the hypotenuse is 65,  the length of the base is 33, and the length of the opposite side is 56.

We have to find the value of the cosec (I).

A function of an arc or angle that is most easily represented in terms of the ratios of pairs of sides of a right-angled triangle, such as the sine, cosine, tangent, cotangent, secant, or cosecant.

We know cosec (I) = hypotenuse / opposite side

Substitute the values

cosec (I) = 65/56

              = [tex]1\frac{9}{56}[/tex]

Hence the value of cosec (I) is [tex]1\frac{9}{56}[/tex].

Learn more about  trigonometric function here: https://brainly.com/question/24349828

#SPJ10

As the sample size grows, the distribution of the sampled means becomes normally distributed option (C) is correct.

With simple random sampling, each component of the population has an equal chance of being selected for the sample.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

Suppose a simple random sample of size n is obtained from a population whose distribution is skewed right.

As we know, the distribution of sample means will be normally distributed even if the individual samples do not, according to the Central Limit Theorem, if the mean values for increasing sample sizes are determined.

Thus, as the sample size grows, the distribution of the sampled means becomes normally distributed.

Learn more about the simple random sampling here:

brainly.com/question/13219833

#SPJ1

The equation can be used to solve for x, the time in hours that Yi spent walking before meeting her friend would be D; 4x + 5(0.7 – x) = 3.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Total distance covered = 3 miles.

The first part walked at the rate of 4 miles per hour.

Let us consider x hours was walked in the first part.

Total distance covered in x hours at the rate of 4 miles per hour will be 4x.

Now, the Second walk rate with meeting with friend will be 5 miles per hour.

The Total time is taken = 0.7 hours.

Therefore, time is taken in the second walk only = (0.7 - x) hours.

Distance covered in second walk = 5 (0.7 - x).

Total distance covered = distance covered in the first part + distance covered in the second part.

4x + 5 (0.7 - x) = 3 miles.

Hence, correct option is D; 4x + 5(0.7 – x) = 3.

Learn more about equations here;

https://brainly.com/question/10413253

#SPJ1

Answer:

its d

Step-by-step explanation:

Answer:

-5.5°C > -17.5°C

Step-by-step explanation:

Since -5.5 is larger than -17.5

The correct inequality symbol to complete the inequality statement is ">" (greater than). [tex]-5.5^{\circ}C > -17.5^{\circ}C[/tex].

To understand why this symbol is used, let's compare the two temperatures.

The temperature in Moscow is -5.5C, while the temperature in Cold Lake is [tex]-17.5^{\circ}C[/tex].

Since -5.5 is greater (warmer) than -17.5,  use the ">" symbol to indicate that [tex]-5.5^{\circ}C[/tex] is greater than [tex]-17.5^{\circ}C[/tex].

Here's a step-by-step explanation:

In summary, when comparing the temperatures of Moscow and Cold Lake, the correct inequality statement is [tex]-5.5^{\circ}C > -17.5^{\circ}C[/tex], indicating that Moscow's temperature is higher (warmer) than Cold Lake's temperature.

Learn more about inequality here:

https://brainly.com/question/30427155

#SPJ4

Answer:

1.3 < x < 6.7

Explanation:

Given two sides of a triangle: 2.7 and 4.0

If 'x' will be the largest side:

If 'x' will be smallest side:

Hence range of possible size: 1.3 < x < 6.7

Answer:

l×b×h

50×10×20

10000cm^3

Step-by-step explanation:

please mark me as brainlest

Answer:

10000 cm³

Step-by-step explanation:

Volume of rectangular box:

         To find the volume of box,  multiply the length, width and height of the box and its unit is cubic units

         [tex]\sf \boxed{\bf Volume \ of rectangular \ box = l *w*h}[/tex]

                                                         = 50 * 1 0 * 20

                                                          = 10000 cm³

Answer:

54x + 36

Step-by-step explanation:

Simplify:

First open the brackets by multiplying  each term by 7.

 5x - 6 + 7(7x + 6) = 5x - 6 + 7*7x + 7*6

                              = 5x - 6 + 49x + 42

                              = 5x + 49x - 6 + 42

Combine like terms. Like terms have same variable with same power. Here 5x and 49x are like terms & (-6) and 42 are like terms (Constants)

                              =  54x + 36

Answer:

54x +36

Step-by-step explanation:

5x - 6 + 7(7x+6)       multiply                

5x -6 +49x+42         add like terms

54x + 36                   that's the answer

The domain of the given graph is the set of all real numbers from 0 to 8.

The graph showing the water depth on the y-axis in inches against the time in minutes on the x-axis has been attached.

Now, domain is the set of all possible input values and from the graph we see that the set of all possible input values are between 0 and 8.

Thus, we can conclude that the domain of the given graph is the set of all real numbers from 0 to 8.

Read more about Domain at; https://brainly.com/question/2264373

#SPJ1

The option fourth "There is a strong negative relationship between x and y" is correct.

It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.

[tex]\rm r = \dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{{[n\sum x^2- (\sum x)^2]}}\sqrt{[n\sum y^2- (\sum y)^2]}}[/tex]

The options are:

We have data:

x 7 8 9 10 11 12 13

y 13 10 7 6 5 3 0

The value of correlation r = -0.9847

As we know the value of r between -1 to +1

If r = 1 (perfect and positive correlation)

if r = -1 (perfect and negative correlation)

We have r = -0.9847

The value is near to -1 which means there is a strong negative relationship between x and y.

Thus, the option fourth "There is a strong negative relationship between x and y" is correct.

Learn more about the correlation here:

brainly.com/question/11705632

#SPJ1

Step-by-step explanation:

you don't know the meaning of

[tex]y = {h}^{ - 1} (x)[/tex]

it means it is the inverse function to h(x).

the regular function assigns an y value to every x value.

the inverse function now turns this around and finds for a given y value the original x value.

so, the inverse function is easier understood, if we would write it

[tex]x = {h}^{ - 1} (y)[/tex]

but just for formal reasons, we don't define functions this way but do it like above (x is the input, y the output value).

just, the understanding of an inverse function is a I just described it.

that means for the points, simply x and y values trade places.

the point (1, 9) turns into (9, 1) (it means 1 was the original x value when the original function delivered 9 a result).

and the point (3, 2) turns into (2, 3).

so, move the 2 green dots to these coordinates.

Answer:

This assumes that the question was meant to read:

"A triangle has side lengths of (7x−4) centimeters, (x+3) centimeters, and (3x+2) centimeters."  And not "A triangle has side lengths of (7x-4)(7x−4) centimeters, (x+3)(x+3) centimeters, and (3y+2)(3y+2) centimeters."

If the revision is correct, the perimeter is 11x + 1 cm

=============================================

If the question was correctly written, then answer is:

50x^2 - 50x + 9y^2  + 12 y  + 29

===============

Step-by-step explanation:

  (7x-4) cm

+ (x+3)  cm

+ (3x+2) cm

11x + 1 cm

If the question was correctly written as is, then:

(7x-4)(7x−4) = 49x^2 - 56x + 16

+(x+3)(x+3)    =     + x^2   + 6x   + 9

+(3y+2)(3y+2) = +9y^2  + 12 y  + 4

                         50x^2 - 50x + 9y^2  + 12 y  + 29 cm

The perimeter of triangle 8x+ 3y + 1.

The complete length of a triangle's boundary is referred to as its perimeter. A triangle is a polygon with three sides, and there are various varieties of triangles depending on how big the sides and angles are.

The basic formula used to calculate the perimeter of a triangle is:

Perimeter = sum of the three sides

Given:

sides of triangle  (7x-4) centimeters, (x+3) centimeters, and (3y+2).

Now, perimeter of triangle

= 7x-4 + x+ 3 + 3y+ 2

=8x + 3y + 5-4

=8x+ 3y + 1

Hence, the perimeter of triangle 8x+ 3y + 1.

Learn more about Perimeter of triangle here:

https://brainly.com/question/23935199

#SPJ5

Answer:

2

[tex]3 \times 3[/tex]

The general form and the standard form of the graph equation are 13x - 8y = 17 and 13x - 8y - 17 = 0 respectively

From the graph, we have the following points

(x,y) = (5,6) and (-3,-7)

Start by calculating the slope:

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

This gives

[tex]m = \frac{-7 - 6}{-3 - 5}[/tex]

Evaluate the differences

[tex]m = \frac{-13}{-8}[/tex]

Evaluate the quotient

[tex]m = \frac{13}{8}[/tex]

The equation is then calculated as:

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

This gives

[tex]y = \frac{13}8(x - 5) + 6[/tex]

Multiply through by 8

8y = 13(x - 5) + 48

Open the bracket

8y = 13x - 65 + 48

Evaluate the like terms

8y = 13x - 17

Subtract 13x from both sides

-13x + 8y = -17

Multiply through by -1

13x - 8y = 17 ---- this represents the standard form

Subtract 17 from both sides

13x - 8y - 17 = 0 --- this represents the general form

Hence, the general form and the standard form of the graph equation are 13x - 8y = 17 and 13x - 8y - 17 = 0 respectively

Read more about linear equations at:

https://brainly.com/question/14323743

#SPJ1

The number of peanuts ( x ) he could plant on 8,500 square meters of land = 95.6 kg

"It is a method of finding the value of a single unit, and based on that value we can find the required value."

For given question,

A farmer can plant 45 kg of peanuts on 4,000 square meters of land.

Using unitary method,

[tex]\frac{4000}{45}\\\\=88.8888 \\\\\approx 88.89[/tex]

This means, a farmer can plant 1 kg of peanuts on 88.89 square meters of land.

We need to find the number of peanuts ( x ) he could plant on 8,500 square meters of land.

Here, 1 kg = 88.89 square meters

          x kg = 8500 square meters

[tex]\Rightarrow x=\frac{8500}{88.89}\\\\ \Rightarrow x = 95.6~kg[/tex]

Therefore, the number of peanuts ( x ) he could plant on 8,500 square meters of land = 95.6 kg

Learn more about the unitary method here:

https://brainly.com/question/22056199

#SPJ3

Answer:

4500 sec

Step-by-step explanation:

1hr 15min= 75 min

75 x 60=4500

Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. Mike's account balance after 21 years is $69,131.44.

Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. It's the outcome of reinvesting interest rather than paying it out so that interest is received on the principal plus previously collected interest in the next quarter.,

[tex]A = P(1+ \dfrac{r}{n})^{nt}[/tex]

where A is the final amount

P is the principal amount

r is the rate of interest

n is the number of times interest is charged in a year

t is the number of years

The principal amount that Mike invested is $29,000. The rate of interest is 7.24% compounded daily, for 21 years. Therefore, the account balance after 21 years is

[tex]\text{Account Balance after 21 years} = 29,000(1+\dfrac{0.0724}{365})^{(365 \times 21)}[/tex]

                                                     = $69,131.44

Hence, Mike's account balance after 21 years is $69,131.44.

Learn more about Compound Interest:

https://brainly.com/question/25857212

#SPJ1

Answer:

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\sf BC = 19.4 \ cm}[/tex]

Step-by-step explanation:

θ = 71°

Adjacent = AB = 6.3 cm

Hypotenuse = BC = ?

We will use the trigonometric ratio of cos.

[tex]\displaystyle cos \theta = \frac{Adjacent}{Hypotenuse} \\\\cos \ 71 = \frac{6.3}{BC} \\\\0.33 = \frac{6.3}{BC} \\\\BC =\frac{6.3}{0.33} \\\\\boxed{BC = 19.4 \ cm}\\\\\rule[225]{225}{2}[/tex]

Answer:

∠ABC =   52°

∠BCA =  48°

∠CAB = 80°

Step-by-step explanation:

Angle sum property of triangle: Sum of all the angles of a triangle is 180.

13x² + 12x² + 20x² = 180

Combine like terms,

                 45x²  = 180

                     x² = 180 ÷ 45

                     x² = 4

                     x = √4

                     x = ± 2

x = 2 ; -2

∠ABC = 13x² = 13*4 = 52°

∠BCA = 12x² = 12 *4 = 48°

∠CAB = 20x² = 20 *4 = 80°

The value of x is +2 and -2 and the angles will be given as ∠ABC = 52 ∠ACB = 48 and ∠CAB = 80.

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

Given that:-

∠ABC = 13x² ∠ACB = 12x² and ∠CAB = 20x²

The angles will be calculated as follows:-

13x² + 12x² + 20x² = 180

45x²  =  180

x²  =  4

x   =  ±2

The angles will be:-

∠ABC = 13x²  = 13 x ( 2² ) = 52

∠ACB = 12x²  = 12 ( 2² )    = 48

∠CAB = 20x²  = 20 ( 2² )  = 80

Therefore value of x is +2 and -2 the angles will be given as ∠ABC = 52 ∠ACB = 48 and ∠CAB = 80.

To know more about Trigonometry follow

https://brainly. com/question/24349828

#SPJ1

Answer:

4158cm cubed. Hope this helped!

Answer:

Step-by-step explanation: