Given the equation square root of quantity 2x minus 1 end quantity equals 7, solve for x and identify if it is an extraneous solution.
one half; solution is extraneous
one half; solution is not extraneous
25; solution is extraneous
25; solution is not extraneous

Answer:

Step-by-step explanation:

Has the form  y = kx :  

y = -0.05x

y =50x

Can be put in the form of y = kx:

y/7 = x

y/x = 6.5

other:

y = 1/5x - 1/5

2x + 1/2 = y

The equation y=kx is a form of a linear equation where there is a direct proportionality between the variables 'y' and 'x'. This equation reflects a direct variation scenario, where 'y' increases or decreases as 'x' does.

The question pertains to the understanding and categorization of linear equations, which are frequently used in Mathematics and Physics. You mention the equation y=kx, where 'k' is a number. It's a simplified version of the standard linear equation, y = mx + b, where 'm' is the slope (rate of change) and 'b' is the y-intercept (the value of 'y' when 'x' is zero). When 'b' is zero, we have the equation y=mx or in your context, y=kx, a direct proportionality.

For instance, if we see the equation y = 6x, it fits the category of y=kx where the 'k' value is 6. Such equations show a direct variation 'y' with 'x', meaning when 'x' increases or decreases, 'y' will also increase or decrease respectively.

Other forms of equations such as quadratic relationships or inverse relationships occur when the variables have a different kind of interaction, such as being squared or inversely proportional to each other.

https://brainly.com/question/32634451

#SPJ3

Answer:

Full charge will be done in 360 minutes.

Step-by-step explanation:

A tablet takes 120 mins to charge.

So, in one minute the tablet is charged by [tex]\frac{1}{120} = 0.00833[/tex] parts.

Again, the fully charged tablet gives 180 mins of game time.

So, the tablet discharges fully in 180 mins gaming.

Then, in 1 minute of game playing the tablet is discharged by [tex]\frac{1}{180} = 0.00556[/tex] parts. (Appx.)

If charging and discharging by playing games both continue from the zero charge in the tablet, then in one minute it will be charged by (0.00833 - 0.00556) = 0.00277 parts. (Appx.)

Then full charge will be done in [tex]\frac{1}{0.00277} = 360[/tex] minutes. (Answer)

Answer:

3.125

Step-by-step explanation:

Ben is 19 years old now

Solution:

Let the age of Ishaan be "x"

Given that ben is 12 years older than Ishaan

Therefore, age of ben = x + 12

Therefore, before three years,

Age of Ishaan before three years = x - 3

Age of Ben before three years = x + 12 - 3 = x + 9

From question,Three  years  ago, ben  was  4  times  as  old  as  ishaan

Age of Ben before three years = 4(Age of Ishaan before three years)

x + 9 = 4(x - 3)

x + 9 = 4x - 12

4x - x = 9 + 12

3x = 21

x = 7

Therefore age of ben now = x + 12 = 7 + 12 = 19

Thus Ben is 19 years old now

Answer:

See the attached figure.

Step by step solution:

Part (1):

When ΔABC is an isosceles triangle with AB = AC

The summing of the three of the triangle = 180°

∴ m∠ABC + m∠BAC + m∠ACB = 180°

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

Part (2):

When ΔABC is an isosceles triangle with AB = AC

So, m∠ABC = m∠ACB = x

if m∠BAC = 70

∵ m∠ABC  + m∠ACB + m∠BAC= 180°

∴ x + x + 70 = 180 ⇒ x = 55°

∴ m∠ABC = 55°

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

Part (3):

When m∠QRP = 30°, and ΔPQR is an isosceles triangle with PQ = QR

So, m∠QPR = m∠QRP = 30°

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

Part (4):

When m∠BAC = 45° and points D and E are the midpoints of AB and BC in ΔABC

∵ Points D and E are the midpoints of AB and BC in ΔABC

∴ DE // AC

∴ m∠BDE = m∠BAC ⇒ the corresponding angles are congruent

∴ m∠BDE = 45°

Answer:

$7.17

Step-by-step explanation:

(1 year) 4.45 x .01= .45    $4.45 + .45=$4.90

(2 year)4.90 x .01= .49 $4.90+.49=$5.39

(3 year)$5.39 x .01=.54 $5.39+.54=$5.93

(4 year) $5.93 x .01=.59 $5.93+.59=$6.52

(5 year) $6.52 x .01=.65 $6.52+.65=$7.17

Answer:

$7.17

Explination: $6.52 x .01=.65 $6.52+.65=$7.17

Answer:

So here is the answer.

We represent h = hardwood and p = pine bark

Here is the equation: h + p = 176

2.75p + 3.50h = 520

Next, p = 176 -h (substitute)

2.75 (176-h) + 3.5h = 520

484 -2.75h + 3.5h = 520

3.5h-2.75h = 520 -484

0.75h = 36 (divide both by 0.75)

h = 48

Therefore, the number of hardwood sold is 48.

h + p = 176

p = 176-48

p= 128

The number of pine bark sold is 128.

Hope this helps :)

Step-by-step explanation:

The problem revolves around solving a system of linear equations to find out how many bags of hardwood and pine bark mulch were sold by the boys club, given the total number of bags and the total revenue generated from the sales.

The student is asking for help with solving a system of linear equations using the information provided about the sale of mulch bags. We'll define two variables: let x represent the number of hardwood mulch bags and y represent the number of pine bark mulch bags sold. To solve for x and y, we need to set up two equations based on the given information:

We solve this system of equations, possibly using the substitution or elimination method, to find the values of x and y that satisfy both equations, which will give us the number of bags of each type of mulch sold.

Answer:

[tex]\displaystyle y - 3 = -1\frac{1}{5}x\:OR\:y + 3 = -1\frac{1}{5}x - 5[/tex]

Step-by-step explanation:

First, find the rate of change [slope]:

[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \frac{3 + 3}{-5 ± 0} = -\frac{6}{5} = -\frac{1}{5}[/tex]

Then plug these coordinates into the Point-Slope Formula Remember, in this formula, all the negative symbols give the OPPOSITE terms of what they really, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT SIGNS. It does not matter which ordered pair you choose:

[tex]\displaystyle y - y_1 = m[x - x_1] \\ \\ y - 3 = -1\frac{1}{5}x\:OR\:y + 3 = -1\frac{1}{5}x - 5[/tex]

I am joyous to assist you anytime.

Answer:

the sum of two numbers is multplication and its opposite is a negative version of it

Step-by-step explanation:

Answer:

  h(x) ≤ 5

Step-by-step explanation:

The function is continuous and has a maximum value of 5. Its range is ...

  h(x) ≤ 5

Answer:

b

Step-by-step explanation:

edge 2020

Answer:

the seventh graders

Step-by-step explanation:

Answer:

The Seventh Graders

Step-by-step explanation

Answer:

the answer is

129

Step-by-step explanation:

cyclic

Answer:

0.53, 0.35, 0.05, 0.03, and 3.5

Step-by-step explanation:

Order Least to greatest

Answer:

0.5 miles per hour

Step-by-step explanation:

Answer:

Step-by-step explanation:

9.5+0.5c=t

Answer:

8.5C + 9.5

Step-by-step explanation:

Im pretty sure u meant to put 8.5

Answer:

y = (7/2)x - 2

Step-by-step explanation:

Use slope-intercept formula for linear equations y = mx + b

x and y show what points are on the line. We know (4, 12). x= 4 and y = 12

b is the y-intercept, which b = -2.

m is the slope.

To write the equation, you need the slope and y-intercept. Find the slope by putting x, y and b into the formula.

y = mx + b

12 = 4m - 2

14 = 4m

14/4 = m

m = 7/2

Put "m" into the formula with "b"

y = (7/2)x - 2

Sid will pay $76.26 in total including ta and tip.

Step-by-step explanation:

Given,

Cost of Sid's bill = $62.00

Tax rate = 8%

Tip = 15%

Tax amount = 15% of bill

[tex]Tax\ amount=\frac{8}{100}*62.00\\Tax\ amount=0.08*62.00\\Tax\ amount=\$4.96[/tex]

As the tip will be on Pre-tax amount, therefore,

Tip amount = 15% of bill

[tex]Tip\ amount=\frac{15}{100}*62.00\\Tip\ amount=0.15*62.00\\Tip\ amount=\$9.30[/tex]

Total amount = Bill + Tax amount + Tip amount

Total amount = 62.00 + 4.96 + 9.30 = $76.26

Sid will pay $76.26 in total including ta and tip.

Keywords: addition, percent

Learn more about addition at:

#LearnwithBrainly

Answer:

76.26

Step-by-step explanation:

Answer:

1. (x, y) → (x + 3, y - 2)

Vertices of the image

a) (-2, - 3)

b) (-2, 3)

c) (2, 2)

2. (x, y) → (x - 3, y + 5)

Vertices of the image

a) (-3, 2)

b) (0, 2)

c) (0, 4)

d) (2, 4)

3. (x, y) → (x + 4, y)

Vertices of the image

a) (-1, -2)

b) (1, -2)

c) (3, -2)

4. (x, y) → (x + 6, y + 1)

Vertices of the image

a) (1, -1)

b) (1, -2)

c) (2, -2)

d) (2, -4)

e) (3, -1)

f) (3, -3)

g) (4, -3)

h) (1, -4)

5. (x, y) → (x, y - 4)

Vertices of the image

a) (0, -2)

b) (0, -3)

c) (2, -2)

d) (2, -4)

6. (x, y) → (x - 1, y + 4)

Vertices of the image

a) (-5, 3)

b) (-5, -1)

c) (-3, 0)

d) (-3, -1)

Explanation:

To identify each IMAGE you should perform the following steps:

1. (x, y) → (x + 3, y - 2)

The rule means that every point of the preimage is translated three units to the right and 2 units down.

Vertices of the preimage      Vertices of the image

a) (-5,2)                                   (-5 + 3, -1 - 2) = (-2, - 3)

b) (-5, 5)                                  (-5 + 3, 5 - 2) = (-2, 3)

c) (-1, 4)                                   (-1 + 3, 4 - 2) = (2, 2)

2. (x,y) → (x - 3, y + 5)

The rule means that every point of the preimage is translated three units to the left and five units down.

Vertices of the preimage      Vertices of the image

a) (0, -3)                                   (0 - 3, -3 + 5) = (-3, 2)

b) (3, -3)                                   (3 - 3, -3  + 5) = (0, 2)

c) (3, -1)                                    (3 - 3, -1 + 5) = (0, 4)

d) (5, -1)                                    (5 - 3, -1 + 5) = (2, 4)

3. (x, y) → (x + 4, y)

The rule represents a translation 4 units to the right.

Vertices of the preimage   Vertices of the image

a) (-5, -2)                               (-5 + 4, -2) = (-1, -2)

b) (-3, -5)                               (-3 + 4, -2) = (1, -2)

c) (-1, -2)                                (-1 + 4, -2) = (3, -2)

4. (x, y) → (x + 6, y + 1)

Vertices of the preimage      Vertices of the image

a) (-5, -2)                                  (-5 + 6, -2 + 1) = (1, -1)

b) (-5, -3)                                  (-5 + 6, -3 + 1) = (1, -2)

c) (-4, -3)                                   (-4 + 6, -3 + 1) = (2, -2)

d) (-4, -5)                                  (-4 + 6, -5 + 1) = (2, -4)

e) (-3, -2)                                  (-3 + 6, -2 + 1) = (3, -1)

f) (-3, -4)                                   (-3 + 6, -4 + 1) = (3, -3)

g) (-2, -4)                                  (-2 + 6, -4 + 1) = (4, -3)

h) (-2, -5)                                  (-2 + 3, -5 + 1) = (1, -4)

5. (x, y) → (x, y - 4)

This is a translation four units down

Vertices of the preimage      Vertices of the image

a) (0, 2)                                    (0, 2 - 4) = (0, -2)

b) (0,1)                                      (0, 1 - 4) = (0, -3)

c) (2, 2)                                     (2, 2 - 4) = (2, -2)

d) (2,0)                                     (2, 0 - 4) = (2, -4)

6. (x, y) → (x - 1, y + 4)

This is a translation one unit to the left and four units up.

Vertices of the pre-image     Vertices of the image

a) (-4, -1)                                   (-4 - 1, -1 + 4) = (-5, 3)

b) (-4 - 5)                                  (-4 - 1, -5 + 4) = (-5, -1)

c) (-2, -4)                                  (- 2 - 1, -4 + 4) = (-3, 0)

d) (-2, -5)                                 (-2 - 1, -5 + 4) = (-3, -1)

Answer:

Below.

Step-by-step explanation:

I'll do number 20, 21, 22 for you.

20.  It is ±1, ±2, ±4, ±8.

21.   Reflected over the x-axis and down 4.

22. Common ratio = 25/5 = 5.

23.  Imaginary roots occur in pairs so there is also a root -5i.

The answer is c.

19. Option (a).

This is a translation of 4 to the left ( due to the (x + 4).

Answer:

540 seconds

Step-by-step explanation:

1 minute is equal to 60 second

so 90 min is equal to 90 multiplied by 60 which is equal to 540 seconds.

Answer:5400 seconds

Step-by-step explanation:

Answer:

The expression that comes after solving the two linear equation is independent of variables So , The system of equations has no solutions

Step-by-step explanation:

Given two linear equations as :

2 y - 4 x = 6               .......1

y - 2 x = 7      

Or, y = 2 x + 7            .......2

Now, Solving these two equations

Put the value of y from eq 2 into eq1

So, 2 y - 4 x = 6

∴ 2 × (2 x + 7) - 4 x = 6

Or, 4 x + 14 - 4 x = 6

or, (4 x - 4 x) = 6 - 14

i.e 0 = - 8

∵ The expression that comes after solving the two linear equation is independent of variables So , The system of equations has no solutions Answer

Answer: Yes, you put cm for the units of the missing side

Step-by-step explanation:

Answer: 2/5

Step-by-step explanation:

14:7=2

35:7=5

14/35= 2/5

Answer:

The lowest form of [tex]\frac{14}{35}[/tex] is [tex]\frac{2}{5}[/tex].

Step-by-step explanation:

The given rational number is [tex]\frac{14}{35}[/tex].

At first, we will find the HCF of 14 and 35 and then divide the numerator and denominator by the HCF of 14 and 35 to evaluate the lowest form of [tex]\frac{14}{35}[/tex].

The prime factorisation of 14 and 35 is,

14 = 2 × 7

35 = 5 × 7

Since, prime factor '7' is common in the prime factorisation of 14 and 35, so the HCF of 14 and 35 is 7.

[tex]\frac{14}{35}=\frac{\frac{14}{7} }{\frac{35}{7}}=\frac{2}{5}[/tex]

So, the lowest form of [tex]\frac{14}{35}[/tex] is [tex]\frac{2}{5}[/tex].

~ Simplifying

-2(7x + -5) = -14x + 10

~ Reorder the terms:

-2(-5 + 7x) = -14x + 10

(-5 * -2 + 7x * -2) = -14x + 10

(10 + -14x) = -14x + 10

~ Reorder the terms:

10 + -14x = 10 + -14x

~ Add '-10' to each side of the equation.

10 + -10 + -14x = 10 + -10 + -14x

~ Combine like terms: 10 + -10 = 0

0 + -14x = 10 + -10 + -14x

-14x = 10 + -10 + -14x

~ Combine like terms: 10 + -10 = 0

-14x = 0 + -14x

-14x = -14x

~ Add '14x' to each side of the equation.

-14x + 14x = -14x + 14x

~ Combine like terms: -14x + 14x = 0

0 = -14x + 14x

~ Combine like terms: -14x + 14x = 0

0 = 0

~ Solving

0 = 0

~ This equation is an identity, all real numbers are solutions.

Answer:

C.

Step-by-step explanation:

https://tex.z-dn.net/?f=24x%5E%7B5%7Dy%5E%7B4%7D%5Csqrt%7B7x%5E%7B2%7Dy%7D

this is correct

the simplified expression is [tex]\(24x^7 y^4 \sqrt{7y}\)[/tex], which corresponds to option A.

To simplify the expression [tex]\(8\sqrt{63x^{14}14y^9}\),[/tex] we can break down the radicand into its prime factors and then simplify:

[tex]\(8\sqrt{63x^{14}14y^9} = 8\sqrt{7 \cdot 9 \cdot 7 \cdot 2 \cdot (x^7)^2 \cdot (y^4)^2 \cdot (y^1)}\)[/tex]

Now, we can take the square root of perfect squares and pull them out of the square root:

[tex]\(8 \cdot 3 \cdot 7 \cdot x^7 \cdot y^4 \cdot \sqrt{y}\)[/tex]

Simplifying further:

[tex]\(24x^7 y^4 \sqrt{7y}\)[/tex]

To know more about expression:

https://brainly.com/question/36917962

#SPJ3

Answer:

Step-by-step explanation:

3+3+4+5+6+6+7+7+7+8+8=64

64÷11=5.81818181818

simplify to......5.82

Answer: 5.81818181818

Step-by-step explanation: The mean of a data set is equal to the sum of the set of numbers divided by how many numbers are in the set.

So to find the mean of the data set shown here, let's begin by adding the numbers.

So we have [tex]\frac{3 +3+4+5+6+6+7+7+7+8+8}{11}[/tex] and notice that I put an 11 on the bottom since there are 11 numbers.

Adding the numbers, we get 64. This will be divide by how many numbers are in the set or 11.

[tex]\frac{64}{11} = 5.81818181818[/tex]

Therefore, the mean of the data set is 5.81818181818.

The factors for given equation f(x)=[tex]x^{3} +3x^{2} -25x-75[/tex].

Step-by-step explanation:

The given equation is f(x)=[tex]x^{3} +3x^{2} -25x-75[/tex] .

Add 0 at the end of the equation.

[tex]x^{3} +3x^{2} -25x-75[/tex] = 0.

Let us group the given equation,

[tex](x^{3} +3x^{2}) -(25x-75)[/tex] =0.

⇒ Group 1: [tex]x^{3} +3x^{2}[/tex] .

Group 2: [tex]- 25x +75[/tex] .

Pull out factor from each group,

⇒ Group 1: [tex](x+3)(x^{2})[/tex].

Group 2: (x+3) (-25).

Join the two group since both (x+3) is common in both groups.

[tex](x+3)(x^{2} -25)[/tex] =0.

One of the factor is (x+3).

Other factors are solved by the formula, [tex]a^{2}-b^{2} = (a+b) (a-b)[/tex] .

[tex](x+3)(x^{2} -25)[/tex] = (x+5) (x-5) .

The other factors are (x+5) and (x-5).

Answer:

domain: {x | x is a real number}

range: {y l y> -8}

Step-by-step explanation:

f(x) = 4x² – 8 is a parabola, a U shape.

Since the stretch factor, 4, is positive, it opens up, there it will have a minimum value, the lowest point in the parabola.

y > -8  because the minimum is -8.

Parabolas do not have restricted "x" values. "4" does not restrict x because it is the stretch factor, which determines how wide the parabola is.

Quadratic standard form:

f(x) = ax² + bx + c

"a" represents how wide the graph is. If it's negative it opens down, if it's positive it opens up.

"b", if written, tells you it is not centred on the y-axis. It is not written, so the vertex is on the y-axis.

"c" is the y-intercept. In this case, since b = 0, it is also the minimum value.

The domain of f(x) = 4x - 8 is all real numbers, as x can take any value without restriction. The range is all values greater than or equal -8 because this is the function's minimum value (occurs when x=0).

In mathematics, the domain and range of a function represent the set of input values (x-values) and output values (y-values) respectively. For the function f(x) = 4x - 8, the domain is all real numbers, represented as {x | x is a real number} because there's no restriction on the values that x can take. On the other hand, the range is all values greater than or equal to -8, which is represented as {y | y > -8}, since the function's minimum value occurs at y=-8 (when x=0).

https://brainly.com/question/36903938

#SPJ2

Answer:

88 feet

Step-by-step explanation:

perimeter (P)=2πr

P= 2*22/7*14

P=88 feet

Answer:

2. B, 25.12 feet.

3. B, 88 feet.

P=2πr, r = radius or 1/2 diameter, replace [tex]\pi[/tex] with given value for each question and then simplify.