PLS HELP ASAP! 20 PT+Brainliest

Equations f(x) = g(x) is proved with x be (C) 4.

So, to get f(x) = g(x):

Solve for 'x' as follows:

Now, but 'x = 4' in both equations to check that LHS = RHS:

The sketch of equations "f(x) = 2x + 1" and "g(x) = 3x -3" is attached below with the value of coordinate x = 4.

So, value of x = 4.

Therefore, equations f(x) = g(x) is proved with x be (C) 4.

Know more about equations here:

https://brainly.com/question/2972832

#SPJ13

A) Hence,  proven that 3y²– 24y – 47 = 0

B) After solving the simultaneous equations y1 = −1.627314 or −1.6 and y2 = 9.627314  or 9.6.

Equations that are simultaneously solved and have two or more common variables are known as simultaneous equations (that is, simultaneously). Since the unknown variables in both equations, x and y, are the same, they can be solved simultaneously to find the values of the variables.

As an illustration, equations x + y = 5 and x - y = 6 are examples of simultaneous equations. Simultaneous equations can be resolved in a variety of ways, including graphically, by substitution, and by elimination.

a) Given that

x - 6y = 10

Lets solve for x

x = 10 + 6y

And 3y² = 4x + 7

Lets solve for x

x = (3y² - 7)/4

As x is equal lets cross multiply and we get

10 + 6y = (3y² - 7)/4

40 + 24y =  3y² - 7

47 + 24y = 3y²

0 = 3y² - 24y - 47

3y²– 24y – 47 = 0

B) To solve the simultaneous equations

Lets convert them to standard format

x - 6y = 10 already in standard format

3y² = 4x + 7

4x - 3y² = -7 in standard format

Now solve

⇒                 x - 6y = 10      (x4)

                   4x - 3y² = -7    (x1)

⇒                  4x - 24y = 40

                -   4x - 3y² = -7

                     0 + 3y²– 24y = 47

⇒ 3y²– 24y = 47

⇒ Putting the value in quadratic formula

⇒ y1 = −1.627314 or −1.6

⇒ y2 = 9.627314  or 9.6

A) Hence,  proven that 3y²– 24y – 47 = 0

B) After solving the simultaneous equations y1 = −1.627314 or −1.6 and y2 = 9.627314  or 9.6.

Learn more about simultaneous equations

https://brainly.com/question/15165519

#SPJ9

Answer:

Step-by-step explanation:

1) Find the table

To find the numbers on the table, just substitute the number for x

If x = 0

y=-4x+3

y=-4(0) + 3

y= 0 + 3

y= 3

If x = 1

y=-4x+3

y=-4(1)+3

y= -4 + 3

y= -1

You can see a pattern, each x makes it go down by 4.

So the following will be...

if x = 2 -> -5

if x = 3 -> -9

2) Now fill in the table with the points

(0, 3) (Taken from the table, the x and y)

(1, -1)

(2, -5)

(3, -9)

3) Afterward draw a line through it. You will get your graph.

a) The center of expansion is at point P.

b) Triangle B is the reduction of A with a scale factor of about 3.

c) Triangle A is a reduction of B with a scale factor of about 13.

d) Triangle B is a miniature of C with a scale factor of approximately 23.

The scale factor is the ratio of change that occurs due to a change in the size of the shape.

Scale factor = Measurement of a new object ÷ Measurement of an old object

The dilation in scale factor from triangle A to triangle B could be assumed as (6 ÷ 2) + 10 = 13 from the point of dilation that is P.

Similarly, the dilation of triangle B to triangle C is lesser compared to triangle A to triangle B which could be assumed as 23.

When using the dilation approximation, the length of the side starting at the nearest point A is 2 cm. The corresponding segment length of B is approximately 6 cm. The scale factor is approximately 6 ÷ 2 = 3.

Similarly, triangles B and C can be considered equal to 13 and 23, respectively.

Learn more about dilation approximation at

https://brainly.com/question/25635083?referrer=searchResults

#SPJ1

The measure of the unknow angle is as follows;

When parallel lines are cut by a transversal lines, angle relationships are formed such as corresponding angles, alternate angles, linear angles, vertically opposite angles etc.

Therefore, line m and n are the parallel lines while the transversal line is line t.

Therefore, ∠7 is an alternate exterior angle to the angle 47 degrees.

Alternate exterior angles are congruent.

Therefore,

∠7 = 47 degrees.  

learn more on angles here: https://brainly.com/question/18166236

#SPJ1

The total number of ways in which different telephone numbers are possible in city  is  6561.

Permutation -

It relates to a mathematical process that determines the number of possible arrangements of a given set.

Now, according to the question:

The first three digits are fixed, we have to select the next four digits.

A total number of available telephone numbers is increased by selecting

Thus,

= 9×9×9×9

= 6561

Total number of ways in which different telephone numbers are possible in city are 6561.

To know more about permutation

https://brainly.com/question/7952710

#SPJ1

There are 7040 yards in 4 miles.

A ratio indicates the number of times one number contains another.

Given, 5 miles = 8800 yards.

5 miles = 8800 yards

1 miles = 8800/5 yards

4 miles = (8800/5) × 4 yards

4 miles = 7040 yards.

Hence, there are 7040 yards in 4 miles.

To learn more about ratios, click here:

https://brainly.com/question/13419413

#SPJ1

Question: Simplify the expression 1 + 0.25 (8 + 12) - 0.3 × 2​

Solution:

Distributing 0.25 in the sum we obtain:

Performing each of the operations we obtain:

So the correct answer is

Answer:

-3

Step-by-step explanation:

N/A

Answer:

see explanation

Step-by-step explanation:

assuming you require the measure of the numbered angles.

∠ 5 and 148° are vertically opposite angles and are congruent , so

∠ 5 = 148°

∠ 6 and 148° are a linear pair and sum to 180° , that is

∠ 6 + 148° = 180° ( subtract 148° from both sides )

∠ 6 = 32°

∠ 6 and ∠ 7 are vertically opposite angles and are congruent , then

∠ 7 = 32°

∠ 3 and ∠ 6 are same- side interior angles and sum to 180° , that is

∠ 3 + 32° = 180° ( subtract 32° from both sides )

∠ 3 = 148°

∠ 1 and ∠ 3 are vertically opposite angles and are congruent , then

∠ 1 = 148°

∠ 1 and ∠ 2 are a linear pair and sum to 180° , so

∠ 2 + 148° = 180° ( subtract 148° from both sides )

∠ 2 = 32°

∠ 2 and ∠ 4 are vertically opposite angles and are congruent , then

∠ 4 = 32°

In summary

∠ 1 = 148° , ∠ 2 = 32° , ∠ 3 = 148° , ∠ 4 = 32° , ∠ 5 = 148° , ∠ 6 = 32° , ∠ 7 = 32°

The volume V of the described solid S is 3.48 π and this can be described by performing the integration and using the given data.

Given: The base of S is the region enclosed by the parabola [tex]$y=2-3 \mathrm{x}^2$[/tex] and the x-axis.

Cross-sections perpendicular to the y-axis are squares.

To determine the x-intercept by substituting (y = 0) in the given function.

[tex]$&0=2-3 \mathrm{x}^2 \\[/tex]

[tex]$&x^2=\frac{2}{3} \\[/tex]

[tex]$&x=\pm \sqrt{\frac{2}{3}}[/tex]

The volume of solid S is given by: [tex]$\mathrm{V}=\pi \mathrm{r}^2 \mathrm{~h}$[/tex]

where [tex]$\mathbf{r}=\mathbf{y}\sqrt{x}[/tex] and h = dx.

[tex]$&\mathrm{dV}=\pi\left(2-3 \mathrm{x}^2\right)^2 \mathrm{dx} \\[/tex]

[tex]$&\mathrm{dV}=\pi\left(9 \mathrm{x}^4-12 \mathrm{x}^2+4\right) \mathrm{dx}[/tex]

Now, integrate the above expression.

[tex]$&\int \mathrm{dV}=\int_0^{\sqrt{2 / 3}} \pi\left(9 \mathrm{x}^4-12 \mathrm{x}^2+4\right) \mathrm{dx} \\[/tex]

[tex]$&\mathrm{V}=\pi\left[\left(9 \frac{\mathrm{x}^5}{5}-\frac{12 \mathrm{x}^3}{3}+4 \mathrm{x}\right)\right]_0^{\sqrt{2 / 3}}[/tex]

Simplify the above expression, we get

[tex]$&\int \mathrm{dV}=\int_0^{\sqrt{2 / 3}} \pi\left(9 \mathrm{x}^4-12 \mathrm{x}^2+4\right) \mathrm{dx} \\[/tex]

[tex]$&\mathrm{V}=\pi\left[\left(9 \frac{\mathrm{x}^5}{5}-\frac{12 \mathrm{x}^3}{3}+4 \mathrm{x}\right)\right]_0^{\sqrt{2 / 3}}[/tex]

Simplify the above expression.

[tex]$$\mathrm{V}=\pi\left[\left(9 \frac{\left(\sqrt{\frac{2}{3}}\right)^5}{5}-\frac{\left(\sqrt{\frac{2}{3}}\right)^3}{3}+4\left(\sqrt{\frac{2}{3}}\right)\right]\right.$$\alpha[/tex]

Now, simplify the above expression by using the arithmetic operations.

V ≈ 3.48 π

To learn more about arithmetic operations refer to:

https://brainly.com/question/13181427

#SPJ13

There is strong positive association between the variables.

The strength of the linear link between two variables is assessed using correlation coefficients. A correlation coefficient with a value over zero denotes a positive link, whereas one with a value below zero denotes a negative relationship. A statistical indicator of how strongly two variables are linearly related is the correlation coefficient. From -1 to 1, its values are possible. A correlation coefficient of -1 indicates a perfect negative, or inverse, correlation, in which the values in one series rise as the values in the other fall, and the other way around. A value of 1 indicates a direct link that is 100 percent positive. There is no linear link when the correlation coefficient is zero.

To know more about correlation coefficient between two variables ,visit:

brainly.com/question/14721961

#SPJ13

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

Explanation:

sigma = 120 = population standard deviation

n = 25 = sample size

sigma/sqrt(n) = standard deviation of the xbar distribution

sigma/sqrt(n) = 120/sqrt(25) = 24

The standard deviation of the sampling distribution of the mean for this sample is 24. Rephrased, the standard deviation of the xbar distribution is 24.

To get the variance, we square the standard deviation

variance = (standard deviation)^2

variance = 24^2

variance = 576

Keep in mind this is the variance of the xbar distribution, and not the original underlying distribution it came from.

Given -

-4x + 5y = -2

To Find -

Value of x and y

Step-by-Step Explanation -

At x = 0

-4(o) + 5y = -2

y = -2/5

At y = 0

-4(x) + 5(0) = -2

-4x = -2

x = 1/2

Final Answer -

Graph:

Answer:

  see attached

Step-by-step explanation:

You want a graph of the relationship shown in the table ...

The attached graph shows a plot of the points in the table, and a line through them. The equation of the line is ...

   y = 3x

where x is the inches of ribbon, and y is the inches of string.

He doesn't have enough storage space remaining to add a rock playlist that uses that uses 0.4 gigabytes

From the information, Morgan's phone can hold 4 gigabytes of music. He also already has three oldies playlists that take up 1.2 gigabytes each.

A rock playlist is 0.8 gigabytes. Therefore, the space remaining will be:

= Total gigabytes - Space used

= 4 gb - (1.2 × 3)

= 4gb - 3.6gb

= 0.4gb

Since the Rock music is 0.8 gigabytes, there no enough space.

Learn more about gigabytes on:

brainly.com/question/289615

#SPJ1

The order of the color of the 39th skittle is: yellow

By adding numbers to the given sequence and examining the repetition, order-based issues in mathematics can be addressed. Once the proper order number has been determined, numbering the other objects will be a breeze.

The answer is a bag of Skittles in the following color order: red, orange, brown, yellow, green, and blue.

The hue of the 39th skittle that they consumed is:

There are six hues in all.

Red is repeated once again after number 6. The order for the red is as follows:

[1, 6,12,18,24,30,36]

39 is yellow, 38 is brown, and 37 is orange.

Consequently, the 39th skittle is colored in the following order: yellow

To learn more about the order from the given link:

https://brainly.com/question/27864906

SPJ13

Answer: 84.

Step-by-step explanation: If you add the width 5cm and 2cm, it gives you 7cm, then length x width so 12x7= 84(cm).

If I am wrong, I am truly sorry, I haven't done area in a long time.

Answer:4.5

Step-by-step explanation:4.5

Answer:

Yes she did!

Step-by-step explanation:

1000g = 1kg
meaning
1100 / 1000 = 1.1kg

Answer:

Manny.

Step-by-step explanation:

Because they split cleaning on Thursday and Manny finished first, then on Friday Manny will clean more stalls because they are faster.

perpendicular gradients are egual to -1 when multiplying them which means

Step-by-step explanation:

.Ma×Mb=-1

Ma=-1/Mb

(3x+2)(x+2)

Step-by-step explanation:

How to solve your problem

3x² + 8x + 4

1. Grouping

Use the sum-product pattern

3x² + 8x + 4

3x² + 6x + 2x + 4

2. Common factor from the two pairs

3x² + 6x + 2x + 4

3x(x+2)+2(x+2)

3. Rewrite in factored form

3x(x+2)+2(x+2)

(3x+2)(x+2)

Solution

(3x+2)(x+2)

Answer:

(x+2) x (3x+2)

The remainder when the polynomial f(x) is divided by the x - 5 is 0.

A polynomial is an equation made up of coefficients and indeterminates that uses only the addition, subtraction, multiplication, and powers of positive-integer variables.

A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor in mathematics.

Consider the polynomial,

f(x) = x³ - x² - 17x - 15

The factor of the polynomial is x - 5.

So,

x - 5 = 0

x = 5

Substituting the value of x in the polynomial,

f(x) = x³ - x² - 17x - 15

f( 5 ) = 5³ - 5² - 17(5) - 15

f(5) = 125 - 25 - 85 - 15

f(5) = 125 - 125

f(5) = 0

Hence, the remainder is 0 when polynomial f(x) is divided by x - 5.

Learn more about polynomial here:

brainly.com/question/497625

#SPJ1

Answer:

21 over 40 times t plus negative 22​

Step-by-step explanation:

3/4t - 5+ 2/5t - (5/8t + 17)

= 3/4t + 2/5t - 5 /8t - 5 - 17

= 21/40 t - 22

Based on the number of hours that the group of students gave as their responses, the median 10 hours can be found to be and the mean is 9.1 hours.

To find the median, you have to first order the responses from lowest to greatest and then pick the middle number.

The responses given were:

5, 10, 12, 10, 12, 6

When ordered we get:

5, 6, 10, 10, 12, 12

The middle number is found by the formula:

= (Middle number₁ + Middle number₂) / 2

= (10 + 10) / 2

= 10 hours

To find the mean, simple add up all the responses and then divide by the number of students:

= (5 + 6 + 10 + 10 + 12 + 12) / 6 student

= 55 / 6

= 9. 2 hours

The question is:

find median and the mean number of hours for these students

Find out more on mean at https://brainly.com/question/20118982

#SPJ1