Which graph shows the solution to the system of linear inequalities below?

Answer:2

Step-by-step explanation:

-5.4+8.2=14/5 and then opposite of -2 3/4 is 2.

Answer:

Step-by-step explanation:

hello

[tex]2x+2=6<=> 2x+2-2=6-2 \ \ \ substract \ \ 2\\<=> 2x = 4 <=> \dfrac{2x}{2}=x=\dfrac{4}{2}=2 \ \ \ divide \ \ by \ \ 2\\[/tex]

so the solution is 2

[tex]5x+4=8<=> 5x+4-4=8-4 \ \ \ substract \ \ 4\\<=> 5x = 4 <=> \dfrac{5x}{5}=x =\dfrac{4}{5} \ \ \ divide \ \ by \ \ 5[/tex]

so the solution is 4/5

hope this helps

Let's see how to solve this equations:

[tex]2x + 2 = 6\\2x = 6 - 2\\2x = 4\\x = \frac{4}{2} \\x=2[/tex]

[tex]5x + 4 =8\\5x = 8 - 4\\5x = 4\\x = \frac{4}{5}[/tex]

Answer:

B is P(x)=(x-3)^2 +2

C is P(x)=(x-1)^2 -5

Step-by-step explanation:

i think i am right

Step-by-step explanation:

Places A and B are 100 km apart on a highway. One car starts from A and another from B at the same time. If the car travel in the same direction at different speeds, they meet in 5 hours. If they travel towards each other, they meet in 1 hour. What are the speeds of the two cars?

Solution :

Let “x km/hr” be the speed of 1st car

Let “y km/hr” be the speed of the 2nd car

Time = Distance/Speed

Speed of both cars while they are traveling in the same direction = (x – y)

Speed of both cars while they are traveling in the opposite direction = (x + y)

5 = 100/(x -y)

x – y = 100/5

x - y = 20

x - y - 20 = 0 ---(1)

1 = 100/(x + y)

x + y = 100

x + y - 100 = 0--b----(2)

x/(100 + 20) = y/(-20 + 100) = 1/(1 + 1)

x/120 = y/80 = 1/2

x/120 = 1/2 y/80 = 1/2

x = 120/2 y = 80/2

x = 60 y = 40

So, the speed of first car = 60 km/hr

Speed of second car = 40 km/hr

Answer:

144 cm²

Step-by-step explanation:

The figure given above is a prism with triangular bases.

The surface area of a prism = 2 × area of the base (B) + perimeter of the base (P) × height of the prism (h)

Area of the base = ½ × 4 × 3 = 6 cm²

Perimeter of base = 4 + 3 + 5 = 12 cm

Height = 11 cm

Surface area of prism = 2(6) + 12 × 11

= 12 + 132 = 144 cm².

Surface area of the prism = 144 cm²

Answer:

104 inches

Step-by-step explanation:

To solve this, we use a circle theorem. The circle theorem to use is that a line from the center of a circle is perpendicular to a chord and it divides the chord into exactly two equal parts.

So therefore, we shall be having a right angled triangle if we join the edge of the chord to the center of the circle.

So in this circle, we have the distance from the center of the circle to the chord, the radius of the circle and half the length of the chord.

The length of the radius serves as the hypotenuse.

Let’s call the radius r.

The other two sides measure; 40 and 96 respectively.

Mathematically, using Pythagoras’ theorem which states that the square of the hypotenuse equals the sum of the squares of the two other sides;

r^2 = 40^2 + 96^2

r^2 = 10,816

r = √(10,816)

r = 104 inches

Answer:

210°

Step-by-step explanation:

By inscribed angle theorem:

[tex] m\angle DFG = \frac{1}{2} \times m\widehat{(EDG)} \\\\

105\degree = \frac{1}{2} \times m\widehat{(EDG)} \\\\

105\degree\times 2= m\widehat{(EDG)} \\\\

\huge \red {\boxed {\therefore m\widehat{(EDG)} = 210\degree}} [/tex]

Answer:

Yes

Step-by-step explanation:

When you do divide the 2 expressions, you should get 15x².

Answer:

Yes

Step-by-step explanation:

The answer is yes because you can divide them together the asnwer would be 15x²

Answer:

13 pages

Step-by-step explanation:

Eleanor has to read a book in 2 weeks which equal to 14 days : 2 weeks *7=14 days.

if Eleanor read the same number of pages daily : 182/14= 13

Eleanor has to read 13 pages each day to finish the book in two weeks.

Answer:

bearing of A from C is - 65.24°

the distance |BC| is 187.84 m

Step-by-step explanation:

given data

girl walks AB = 285 m (side c)

bearing angle B = 78°

girl walks AC = 307 m (side a)

solution

we use here the Cosine Law for getting side b that is

ac² = ab² + bc² - 2 × ab × cos(B)     ...............1

307² = 285² + x²  - 2 × 285 cos(78)

x = 187.84 m

and

now we get here angle θ , the bearing from A to C get by law of sines

sin (θ) = [tex]\frac{187.84}{307} \times sin(78)[/tex]

sin (θ) =  0.5985  

θ = 36.76°

and as we get here angle BAC that is

angle BCA = 180 - ( 36.76° + 78° )

angle BCA = 65.24°

and here  negative bearing of A from C so - 65.24°

Answer:

[tex]\displaystyle y = \frac{1}{5}x+1[/tex]

Or:

[tex]x + 5 = 5y[/tex]

Step-by-step explanation:

We have the function:

[tex]y=5x-5[/tex]

And we want to find its inverse.

To find the inverse of a function, we:

Hence:

[tex]x=5y-5[/tex]

Solve for y. Add:

[tex]\displaystyle x + 5 = 5y[/tex]

Divide:

[tex]\displaystyle y = \frac{x+5}{5}[/tex]

Simplify. Hence:

[tex]\displaystyle y = \frac{1}{5}x+1[/tex]

In conclusion, the inverse function is:

[tex]\displaystyle y = \frac{1}{5}x+1[/tex]

Answer:

√−100 = 10i

Step-by-step explanation:

The square root of negative 100 can be dissected step by step. The square root of 100 is 10 however there is no such thing as square root of something negative, thus the imaginary notion is applied. square root of -1 is equal to i .Hence the answer to this problem is 10 i.

Answer: 12 friends.

Step-by-step explanation:

the data we have is:

Mei Su had 80 coins.

She gave the coins to her friends, in such a way that every friend got a different number of coins, then we have that:

The maximum number of friends that could have coins is when:

friend 1 got 1 coin

friend 2 got 2 coins

friend 3 got 3 coins

friend N got N coins

in such a way that:

(1 + 2 + 3 + ... + N) ≥ 79

I use 79 because "she gave most of the coins", not all.

We want to find the maximum possible N.

Then let's calculate:

1 + 2 + 3 + 4 + 5 = 15

15 + 6 + 7 + 8 + 9 + 10 = 55

now we are close, lets add by one number:

55 + 11 = 66

66 + 12 = 78

now, we can not add more because we will have a number larger than 80.

Then we have N = 12

This means that the maximum number of friends is 12.

Answer:

12

Step-by-step explanation:

my

Answer:

3, 6, and 15

Step-by-step explanation:

Notice that if 60 is a multiple, the numbers in question could have the same factors as 60.

So let's look at 60's prime factors:

60 = 2 * 2 * 3 * 5

we also know that 3 is a factor, so the factor 3 must be included in all three options, we also know that 4 is NOT a factor, so both factors 2 cannot be included (but only one of them could).

So, in order to build the lowest possible numbers that verify such conditions, we can use:

3

3 * 2 = 6

since 3 or 2 cannot be repeated, the next smaller would be:

3 * 5 = 15

Answer:

5x4^10

Step-by-step explanation:

Hope this helps have a nice day :)

Answer:

5. [tex]4^{9}[/tex]

Step-by-step explanation:

There is a common ratio r between consecutive terms, that is

r = 20 ÷ 5 = 80 ÷ 20 = 320 ÷ 80 = 4

This indicates the sequence is geometric with n th term

[tex]a_{n}[/tex] = a . [tex]r^{n-1}[/tex]

Here a = 5 and r = 4 , thus

[tex]a_{10}[/tex] = 5. [tex]4^{9}[/tex]

Answer:

C

Step-by-step explanation:

In this question, we are interested in calculating the z-score of a company employee.

Mathematically;

z-score = (x- mean)/SD

where in this case;

x is the value given which turns out to be the annual salary of the employee = 28,000

Mean = 34,000

standard deviation = 4,000

Plugging these values into the equation above, we have;

z-score = (28000-34000)/4000 = -6000/4000 = -1.5

Answer:

c/ -1.5

Step-by-step explanation:

edge 2020

Answer:

second option

Step-by-step explanation:

Given

[tex]x^{4}[/tex] + 6x² + 5 = 0

let u = x², then

u² + 6u + 5 = 0 ← in standard form

(u + 1)(u + 5) = 0 ← in factored form

Equate each factor to zero and solve for u

u + 1 = 0 ⇒ u = - 1

u + 5 = 0 ⇒ u = - 5

Change u back into terms of x, that is

x² = - 1 ( take the square root of both sides )

x = ± [tex]\sqrt{-1}[/tex] = ± i ( noting that [tex]\sqrt{-1}[/tex] = i ), and

x² = - 5 ( take the square root of both sides )

x = ± [tex]\sqrt{-5}[/tex] = ± [tex]\sqrt{5(-1)}[/tex] = ± [tex]\sqrt{5}[/tex] × [tex]\sqrt{-1}[/tex] = ± i[tex]\sqrt{5}[/tex]

Solutions are x = ± i and x = ± i[tex]\sqrt{5}[/tex]

Answer:

Stratified sampling

Step-by-step explanation:

The is a type of sampling in which the population of interest is divided into subpopulations and then each subpopulation is randomly sampled.

In this case study, instead of just doing a random sampling of all students, the research divided the population of all students into subpopulations which includes freshmen, sophomores, juniors and seniors and then she makes a random sampling of each of these subpopulations.

Answer:

2+2=4

Step-by-step explanation:

2+2=4

good question like if you have two chocolates and your mom gives you two more than there will be 4 and they will be too delicious

i hope this will help you :)

have a great day

Answer:

2+2=4

Step-by-step explanation:

So you take the 2 numbers 2+2 and you use your finger counting to get to 4. It’s really hard mathematics but you’ll get there. Have a great day!

Answer:

6.552×10³×10

6.552×10^3+1

6.552×10^4 is the standard form

i hope this will help you :)

Answer:

Calories are transferred to flea beetle = 150 Calories

Calories are transferred to the sparrow = 15 Calories

Step-by-step explanation:

Given:

Calories in grass = 1,500 Calories

Find:

Calories are transferred to flea beetle

Calories are transferred to the sparrow

Computation:

According to food chain level only 10 % of Calorie transferred to the next level.

So,

Calories are transferred to flea beetle = 10% (Calories in grass)

Calories are transferred to flea beetle = 10% (1,500)

Calories are transferred to flea beetle = 150 Calories

Calories are transferred to the sparrow = 10% (Calories are transferred to flea beetle)

Calories are transferred to the sparrow = 10% (150)

Calories are transferred to the sparrow = 15 Calories

Answer:

6

Step-by-step explanation:

If 2 of the friends wants to stand beside each other, we can take these 2 friends like 1 option and calculated the number of ways, using the rule of multiplication as:

__ 3_____ * ____2_____ *____1____  =  6

1st place        2nd place        3rd place

Because we have 3 options (2 friends and the friends that are beside each other) for the first place of the picture, 2 options for the second and 1 option for the third.

Answer:

x ≈ 11.72 m

Step-by-step explanation:

When we draw out a picture of the triangle, we see that we need to use tan∅ to find our answer:

tan76° = 47/x

xtan76° = 47

x = 47/tan76°

x = 11.7184 m

Answer:

A:C = 9:20

Step-by-step explanation:

The computation of the ratio is shown below:

We can say that

Surface area ratio = Ratio square

i.e

[tex](\frac{A}{B})^2 = \frac{9}{16}[/tex]

Now squaring both sides

[tex]\frac{A}{B} = \sqrt{\frac{9}{16} } \\\\ \frac{A}{B} =\frac{3}{4}[/tex]

The ratio is 3: 4

Now in the other case

Volume ratio = Cube ratio

i.e

[tex](\frac{B}{C})^3 = \frac{27}{125}[/tex]

Now cubing root both sides

So,

[tex]\frac{B}{C} = \frac{3}{5}[/tex]

Therefore  

B : C = 3:5

Now for making the equivalent ratios

A:B:C = 9:12:20

So,

A:C = 9:20

Answer:

53

Step-by-step explanation:

Explicit Formula: an = a1 + d(n - 1)

Simply plug in your known variables:

an = 8 + 3(n - 1)

Then plug in 16 for n:

a(16) = 8 + 3(16 - 1)

a(16) = 8 + 3(15)

a(16) = 8 + 45

a(16) = 53

Answer:

53

Step-by-step explanation:

an = dn + (a - d)

an = 3n + 8  - 3

an = 3n + 5

Put n as 16 and solve.

3(16) + 5

48 + 5

= 53

Answer:

There are no restrictions on x, so the domain is (-∞,∞)

When x = 2, 5|x - 2| = 0, so the range is [4,∞)

Step-by-step explanation:

The domain and range of the function ƒ(x) = 5|x - 2| + 4 is (-∝, ∝) and [4, ∝) respectively. So, the 4th option is correct.

A function's domain is the set of all values for which the function is defined, and its range is the set of all values that the function takes.

The given function is ƒ(x) = 5|x - 2| + 4.

This function is not undefined for any x-values. So, the domain of this function is (-∝,∝).

We know that

|x - 2| ≥ 0

i.e. 5|x - 2| ≥ 0

i.e. 5|x - 2| + 4 ≥ 4

i.e. f(x) ≥ 4

So, the range of this function is [4,∝).

Therefore, the domain and range of the function ƒ(x) = 5|x - 2| + 4 is (-∝, ∝) and [4, ∝) respectively. So, the 4th option is correct.

Learn more about domain and range of a function here -

https://brainly.com/question/4334924

#SPJ2

Answer:

TRUE

Step-by-step explanation:

Notice that point P is at the center of the circle. Notice also that it is being crossed by two diameters (segments RT and SQ). Then, the central angles RPS and TPQ must be equal because they are opposed by their vertex (center point P). Notice as well that the two triangles formed (triangle SRP, and triangle TPQ) are both isosceles triangles since they have the two sides that are adjacent  to the central angles mentioned above, equal to the circle's radius. Therefore, the sides opposite to the central angles (RS in one triangle, and QT in the other) must be equal among themselves.

Answer:

8

Step-by-step explanation:

subtract 9from 17 I think

Step-by-step explanation:

solving for y is y=-9x+17

solbing for x is -y/9 + 17/9

Answer:

The area of the shaded region = (36·π - 72) cm²

The perimeter of the shaded region = (6·π  + 12·√2) cm

Step-by-step explanation:

The given figure is a sector of a circle and a segment of the circle is shaded

We have that since the arc AC subtends an angle 90° at the center of the circle, the sector is a quarter of a circle, which gives;

Area of sector = 1/4×π×r²

As seen the radius, r = AB = 12 cm

∴ Area of sector = 1/4×π×12² = 36·π cm²

The area of the segment AB = Area of sector ABC - Area of ΔABC

Area of ΔABC = 1/2×Base ×Height =

Since the base and the height = The radius of the circle = 12 cm, we have;

Area of ΔABC = 1/2×12×12 = 72 cm²

The area of the segment AB = 36·π cm² - 72 cm² = (36·π - 72) cm²

The area of the shaded region = The area of the segment AB = (36·π - 72) cm²

The perimeter of the shaded region = 1/4 perimeter of the circle with radius r + Line Segment AC

The perimeter of the shaded region =  1/4 × π × 2 × r + √(12² + 12²) = 1/4 × π × 2 × 12 + 12·√2 = (6·π  + 12·√2) cm