The solution for x of log, 22 = 3 is between what two integers?

The domain of the logarithm function is (0, ∞) and the range of the logarithm function will be (-∞, ∞)

The domain means all the possible values of the x and the range means all the possible values of the y.

The table is shown below.

Let the logarithm function with the variables x and y. Then we have

y = logₐ x

At x = 25, the value of y will be 2. Then the value of a will be

2 = logₐ 25

2 = 2 logₐ 5

1 = logₐ 5

Then 1 can be written as

1 = log₅ 5

Then on comparing, the value of a will be

a = 5

Then the logarithm function will be

y = log₅ x

Then the domain of the logarithm function is (0, ∞) and the range of the logarithm function will be (-∞, ∞)

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Answer:

adjacent exterior angles

x equals 80

Answer:

2x+4

Step-by-step explanation:

Trust me

The solution set of the inequality is represented as [911,∞)

let

x be the number of cans collected by Shane.

Therefore,

Since,  Abha collected 178 more cans than Shane did.

Therefore,

Abha  = 178 + x

Hence,

Also, Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling.

Therefore,

x + 178 + x ≥ 2000

2x + 178 ≥ 2000

2x ≥ 2000 - 178

2x ≥ 1822

x ≥ 1822 / 2

x ≥ 911

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Inequality are expressions that are not separated by an equal sign. The solution to the given system of equation is x > 4

Inequality are expressions that are not separated by an equal sign.

Given the inequality

8x+2 > 34

Subtract 2 from both sides

8x + 2 - 2 > 34 - 2

8x > 32

Divide both sides by 8

8x/8 = 32/8
x > 4

Hence the solution to the given system of equation is x > 4

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Answer:

The bottom graph on the right, check the image below:

Explanation:

Substitute the x value with 1,

f(1)=1(1+2)=3

f(2)=2(2+2)=8

f(-1)=-1(-1+2)=-1

f(-2)=-2(-2+2)=0

The equation in slope-intercept form is y = (5/4)x + 7.

We have,

The slope-intercept form of a linear equation is given by y = mx + b, where "m" is the slope and "b" is the y-intercept.

To write the equation 12y - 15x = 84 in slope-intercept form, simplify the fractions and solve for y:

12y = 15x + 84

y = (15x + 84) / 12

y = (5x + 28) / 4

y = (5/4)x + 28/4

y = (5/4)x + 7

Thus,

The equation in slope-intercept form is y = (5/4)x + 7.

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A factor of the polynomial f(x) = 6x⁴ - 21x³ - 4x² + 24x - 35 is 2x - 7

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the polynomial:

f(x) = 6x⁴ - 21x³ - 4x² + 24x - 35

The polynomial can be further simplified to:

f(x) = (2x - 7)(3x³ - 2x + 5)

A factor of the polynomial f(x) = 6x⁴ - 21x³ - 4x² + 24x - 35 is 2x - 7

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Answer:

2x-7

Step-by-step explanation:

TLDR verified answer, correct on edge 2023

Answer:

the half liter

Step-by-step explanation:

200 mL :

4,000 mL in 4 liters.

4,000/200=20

20x1.19=23.8

half liter :

4x2=8

8x2.86=22.88

Answer:

Step-by-step explanation:

Givens

Length = a

Width = a + 3

Formulas

P = 2L + 2w

Area = L * w

Solution

Perimeter

P = 2L +  2w

P = 2*a + 2(a + 3)             Remove the Brackets

p = 2a + 2a + 6                Combine

P = 4a + 6

Area

Area = L * w

Area = a (a + 3)

Area = a^2 + 3a

Answer:

No, because the given values do not produce a correct equation when plugged into the Pythagorean Theorem.

Step-by-step explanation:

To solve this question, we can use the Pythagorean Theorem. (Also called Pythagoras Theorem)

The Pythagorean Theorem is true for ALL right triangles, meaning that if the side lengths don't work for it, the given triangle can not be a right triangle.

The theorem simply states that the sum of the squares of the two legs must add up to the square of the hypotenuse.

Note that the hypotenuse of a triangle is the side opposite to the right angle.

The Pythagorean Theorem can be easily written as the following expression:

a^2+b^2=c^2

This is where a and b are the legs and c is the hypotenuse.

We can plug our given values in to see if it's correct.

If it is a right triangle, the longest side will always be the hypotenuse, so we can safely set c as 13.

4^2+10^2=13^2

Simplify to see if it's true

16+100=169

116≠169

Therefore, a right triangle can not have these given side lengths.

Hope that helps, please let me know if you have any further questions!

Answer:

Where is the quadrilateral? You haven't inserted a picture.

Answer:

D

Step-by-step explanation:

114 hundredths

Answer:

42 hundredths

Step-by-step explanation

Normally do 34+8 then add the hundredths since 34 hundredths is the bigger value

Answer:

5/8

Step-by-step explanation:

1/5 x 5

1

1/8 x 5

5/8

63 cm2

hope it helps

you

63 CM answer

Answer:

y = 4, x = 0

y = 1, x = -1

Step-by-step explanation:

[tex]y = 3 {x}^{2} + 6x + 4[/tex]

[tex]y = - 3 {x}^{2} + 4[/tex]

[tex] \: [/tex]

Since both of them are equal to y, we can just equate them and solve.

[tex] \: [/tex]

[tex]3 {x}^{2} + 6x + 4 = - 3 {x}^{2} + 4[/tex]

[tex]3 {x}^{2} + 6x + 4 + 3 {x}^{2} - 4 = 0[/tex]

[tex]6 {x}^{2} + 6x = 0[/tex]

[tex]6x(x + 1) = 0[/tex]

[tex]6x = 0[/tex]

[tex]x = 0[/tex]

[tex] \: [/tex]

[tex]x + 1 = 0[/tex]

[tex]x = - 1[/tex]

[tex] \: [/tex]

[tex]for \: x = 0[/tex]

[tex]y = 3( {0})^{2} + 6(0) + 4[/tex]

[tex]y = 4[/tex]

[tex] \: [/tex]

[tex]for \: x = - 1[/tex]

[tex]y = 3( { - 1})^{2} + 6( - 1) + 4[/tex]

[tex]y = 1[/tex]

[tex] \: [/tex]

[tex]values \: of \: x \: and \: y \: for \: the \: system \: of \: equations \: are[/tex]

y = 4, x = 0

y = 1, x = -1

The system of equations has been solved and the solution set of the equation are (-1,1) and (0,4).

A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.

The first equation given as,

y = 3x² + 6x + 4

The second equation given as,

y = -3x² + 4

Equate the value of y from both equation as,

3x² + 6x + 4=-3x²+4

3x²+3x²+6x+4-4=0

6x²+6x=0

6x(x+1)=0

x=0:x=-1

Put these values of x, in first equation,

y = 3(-1)^2 + 6(-1) + 4

y = 3 - 6 + 4

y=1

Put 0 on the place of x,

y = 3(0)^2 + 6(0) + 4

y = 0 +0+ 4

y=4

Thus, the system of equations has been solved and the solution set of the equation are (-1,1) and (0,4).

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Answer:

y = 4"x +2

Step-by-step explanation:

We choose negative 4 because the graph lies below the asymptote and we chose positive 2 because the horizontal asymptote is on the positive section of the y axis

Answer:

From inspection of the diagram, the pattern is:

Step 1:      1² + 1

Step 2:    2² + 2

Step 3:    3² + 3

Let x = step number

Let y = total number of squares

Therefore, the equation that represents the relationship is:  

y = x² + x

x² relates to the large square made up of small squares (top part of the image of each step)

x relates to the rectangle of small squares (bottom part of the image of each step)

y is the total number of small squares in the image of each step.

The pattern is

More simply

So for an integer n

#b

n² is pair of boxes at top side

n is boxes underneath

Answer:

65 times in 75 seconds

Step-by-step explanation:

52 × 75 = 3,900

3,900 ÷ 60 = 65

Answer:

e

Step-by-step explanation:

the sum of 24 and 7 is 24 + 7 and multiplying this by 5 gives

5 × (24 + 7)

Answer:

e.

Step-by-step explanation:

24 + 7 = 31

5 * 31 = 155.

Answer:

196 in^3

Step-by-step explanation:

Volume of pyramid = 1/3 base * height

                = 1/3  (7x7) (12) = 196  in^3