3x+8y=15
2x−8y=10
Solve for x

Answer: y = 1/2x + 1/2

Answer:

domain: x > 1; range: all real numbers

Step-by-step explanation:

Given function:    [tex]f(x)=\log(x-1)+2[/tex]

Logarithms are not defined for zero or negative numbers.

[tex]\implies (x-1) > 0 \implies x > 1[/tex]

Therefore:

Answer:

B on edge

Step-by-step explanation:

Just took the test :)

Answer:

See below ~

Step-by-step explanation:

Question 3 : (x, y - 5)

Question 4 : (x + 4, y + 1)

Answer:

24 and 16.

Step-by-step explanation:

They both are in between the sum of the two numbers.

Answer:

F = 53.1°

Step-by-step explanation:

When you consider F as your angle

cos F = adjacent / hypotaneous

or, cos F = EF/DF

We do not have DF right now,

so DF² = DE² + EF²

DF = √ (12² + 9²)

DF = 15

cos F = adjacent / hypotaneous

or, cos F = EF/DF

cos F = 9 / 15

F = cos ⁻¹ (9/15)

F = 53.1°

Answer:

11 h

Step-by-step explanation:

1/2 h

11h 1/2 will be need for a bike

y=3x+3

Step-by-step explanation:

The m is 3 because it is rise over run. For every 3 up it goes one over (3/1) or just 3. The b is 3 because b is where x equals 0 and it is at 3.

Answer:

the inequality, b ≤ 0 has interval Notation of -∞,0

Step-by-step explanation:

the inequality, b ≤ 0 has interval Notation of -∞,0

Answer:

8 Answer is a) R

9 Answer is b) -4

Step-by-step explanation:

Answer of your Question bro and good evening and please mark me as brainliest and thank u

Dexter is thinking of a number, x. Two more than three times his number is the same value as thirteen less than five times his number. The number which he is thinking is 7.5.

Two or more expressions with an equal sign is called as Equation.

Given that Dexter is thinking of a number, x. Two more than three times his number is the same value as thirteen less than five times his number.

Let the number which Dexter is thinking be x.

Two more than three times his number.

It means value two is added to the product of 3 and the number which he is thinking x.

3x+2

thirteen less than five times his number

It means value thirteen is subtracted from  the product of 5 and the number which he is thinking x.

5x-13.

It is given Two more than three times his number is the same value as thirteen less than five times his number

3x+2=5x-13

Take the like terms to one side

13+2=5x-3x

15=2x

Divide both sides by 2.

x=7.5

Hence the value of x is 7.5.

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Answer:

22x-4

Step-by-step explanation:

2x(3+8)−4

Simplify  3+8 to 11.

2x×11−4

Simplify  2x times 11 to 22x.

22x−4

The segment area of the circle that's given in the envision geometry is 2.568.

It should be noted that the segment area is given as:

= (a/360)π × R² - Area of triangle

= (90/360)π × 3² - (1/2 × 3²)

= 9π/4 - 9/2

= 2.568

In conclusion, the segment area of the circle that's given in the envision geometry is 2.568.

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Answer:

Approximately 0.3.

Step-by-step explanation:

I can only estimate the value of the function when x = 2. it looks like it's about 2.4.

Average rate of change = [(f4) - f(2)] /  (4 - 2)

= (3 - 2.4) / 2

= 0.6/2

= 0.3.

Answer:

The prime numbers from 1 to 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

Step-by-step explanation:

also it goes on and on so i dont think you meant but i hope this helps if it dosnt m very sorry

Plotting the inequalities y ≤ 3x − 1 and y ≥ -x − 1 using the geogebra graphing tool, a possible solution to the system is (3, 1)

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

Given the inequalities y ≤ 3x − 1 and y ≥ -x − 1

Plotting the inequalities y ≤ 3x − 1 and y ≥ -x − 1 using the geogebra graphing tool, a possible solution to the system is (3, 1)

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If cos90 is equivalent to zero, hence the cos inverse of 0 is 90 degrees which is equivalent to pi/2 in radians

Inverse of a function are the opposite of the function. Given the inverse of cosine function as shown:

[tex]cos^{-1}x[/tex]

If x = 0, hence;

[tex]cos^{-1}{0[/tex]

If cos90 is equivalent to zero, hence the cos inverse of 0 is 90 degrees which is equivalent to pi/2 in radians

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                - - - - - - - - - - - - - - - - - - - - - - - - -- - - - - - - - - -

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Given question:-}}}}[/tex]

             ❖ A number y increased by 5 is at least -21.

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]

          ❖ First, if you come across the word "increased" it means we

    "increase" a number, or add something to that number, like

y increased by 5 [tex]\longmapsto[/tex] [tex]\sf{y+5}[/tex]

Now, we are also given that this expression is at least -21, which means it can't be -21; it can be -21 or it can be greater than -21.

So we have

[tex]\longmapsto\sf{y+5\geq -21}}[/tex]

Solving for y

[tex]\longmapsto\sf{y\geq -21-5}[/tex]

[tex]\longmapsto\sf{y\geq -26}[/tex]

So the values of y greater than or equal to -26 will make this inequality true.

 [tex]\rule{300}{1}[/tex]

Answer:

y >= - 26

Step-by-step explanation:

your equation at first looks like this

y + 5 >= -21

then you subtract 5 to both sides

y >= -26

Answer:

70%

Step-by-step explanation:

Answer:

(5,2) and (6,5)

length of side = sqrt10 ~= 3.16 units

Area = 12 sq units

Step-by-step explanation:

It really helps to graph the given information. See image. The sides have the same slope bc they are parallel. If you go UP3 & OVER1 to get from the first point to the second point, then do that again on the right side. See image. Use distance formula or pythagorean thm to find the length:

c^2 = 3^2 + 1^2

c^2 = 9+1

c^2 = 10

c = root10 ~= 3.16

Area of a parallelogram is b•h

A = 4•3

= 12

see image.

Answer:

x = 14

Step-by-step explanation:

Answer:

21.6 units² (nearest tenth)

Step-by-step explanation:

[tex]\textsf{Area of a trapezoid}=\dfrac{1}{2}(a+b)h \quad \textsf{(where a and b are the bases and h is the height)}[/tex][tex]\textsf{Area of a semicircle}=\dfrac12 \pi r^2 \quad \textsf{(where r is the radius)}[/tex]

Given:

[tex]\begin{aligned}\textsf{Area of figure} & =\textsf{area of trapezoid + area of semicircle}\\& = \dfrac{1}{2}(a+b)h+\dfrac{1}{2} \pi r^2\\& = \dfrac{1}{2}(2+8)(4)+\dfrac{1}{2} \pi (1)^2\\& = 20+\dfrac{1}{2} \pi\\& = 21.6\: \sf units^2 \:(nearest\:tenth)\end{aligned}[/tex]

Area of the trapezium

Area of semicircle

Total area

The inside of a baking pan is to be lined with tinfoil. Then the amount of tinfoil needed will be 171 square inches.

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.

The inside of a baking pan is to be lined with tinfoil. the pan is 12 inches long, 9 inches wide, and 1.5 inches tall.

Then the amount of the tinfoil will be

The surface area of the rectangle with an open lid is given as

Surface area = 2(LH + WH) + LW

Then the surface area of the tinfoil will be

Surface area = 2(12 x 1.5 + 9 x 1.5) + 12 x 9

Surface area = 2 (18 + 13.5) + 108

Surface area = 2 x 31.5 + 108

Surface area = 63 + 108

Surface area = 171 square inches

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Answer:

Step-by-step explanation:

Answer:

-32

Step-by-step explanation:

-2^2 is 4

-2^3 is -8

So 4•-8

=-32

Hope this helps. Brainliest would be appreciated.

Solving as exponents

[tex]\\ \rm\Rrightarrow 9^{(x-8)}=3^{(4x-12)}[/tex]

[tex]\\ \rm\Rrightarrow 3^{2(x-8)}=3^{2(x-6)}[/tex]

[tex]\\ \rm\Rrightarrow 2(x-8)=2(x-6)[/tex]

[tex]\\ \rm\Rrightarrow 2x-16=4x-12[/tex]

[tex]\\ \rm\Rrightarrow -2x=4[/tex]

[tex]\\ \rm\Rrightarrow x=-2[/tex]

Answer:

[tex]x=-2[/tex]

Step-by-step explanation:

Given equation:

[tex]9^{x-8}=3^{4x-12}[/tex]

Rewrite 9 as 3²:

[tex]\implies (3^2)^{x-8}=3^{4x-12}[/tex]

[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:[/tex]

[tex]\implies 3^{2(x-8)}=3^{4x-12}[/tex]

[tex]\implies 3^{2x-16}=3^{4x-12}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^{f(x)}=a^{g(x)} \implies f(x)=g(x):[/tex]

[tex]\implies 2x-16=4x-12[/tex]

Subtract 2x from both sides:

[tex]\implies 2x-16-2x=4x-12-2x[/tex]

[tex]\implies -16=2x-12[/tex]

Add 12 to both sides:

[tex]\implies -16+12=2x-12+12[/tex]

[tex]\implies -4=2x[/tex]

Divide both sides by 2:

[tex]\implies \dfrac{-4}{2}=\dfrac{2x}{2}[/tex]

[tex]\implies x=-2[/tex]

He will reach the dance before time if he leaves at 16:40.

The formula for speed is speed = distance ÷ time.

To work out what the units are for speed, you need to know the units for distance and time. In this example, distance is in metres (m) and time is in seconds (s), so the units will be in metres per second (m/s).

Given distance= 120 Km, speed= 100 km/h

For this speed,

time= distance/ speed

       = 120/100

        = 1.2 hours

If the guest leave at 4:40 p.m. then by the speed of 100 km/h he will reach the venue at 06:00 p.m.

Hence, he will reach before the time at wedding.

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Answer:

$54.6

Step-by-step explanation:

To solve the question, we need to find how much 5% of 52 is

For questions where we need to calculate the percentage, we will multiply the number by given percentage and then divide it by the whole, 100%

52*5/100 = 2.6

Now the price before the tax was 52 and the tax is 2.6

the total price:

2.6 + 52 = 54.6

Answer:

371/999

Step-by-step explanation:

all repeating numbers like that just go over nines. Two repeating? Over 99. Four repeating? Over 9,999