f(x) = x2 What is g(x)?

Answer:

(0, -2)

(-3, 1)

(3, -4)

Step-by-step explanation:

The constraints given as;

x + y ≥ -2

3x - y ≤ 2

x - y ≥ -4

Since we want to find vertices of the feasible region, we will ignore the less than or greater than sign and use the equal to sign to some simultaneously.

Let's add first and third constraint together to get;

2x = -6

x = -6/2

x = - 3

Put - 3 for x in equation 1 to get;

-3 + y = -2

y = 3 - 2

y = 1

Thus, vertex here is; (-3, 1)

Lets add first and third equations to get;

4x + 0 = 0

Thus, x = 0

Putting this for x in eq 1;

0 + y = -2

y = -2

vertex here is; (0, -2)

Lets subtract eq 3 from eq 2 to get;

2x = 6

x = 6/2

x = 3

Put 3 for x in eq 3;

x - y = -4

vertex here is; (3, -4)

[tex]\\ \rm\Rrightarrow \dfrac{x}{2}=3[/tex]

[tex]\\ \rm\Rrightarrow x=2(3)[/tex]

[tex]\\ \rm\Rrightarrow x=6[/tex]

And

[tex]\\ \rm\Rrightarrow \dfrac{y}{2}+1=3[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{y}{2}=3-1=2[/tex]

[tex]\\ \rm\Rrightarrow y=2(2)[/tex]

[tex]\\ \rm\Rrightarrow y=4[/tex]

Answer:

x=6 y=4

Step-by-step explanation:

Equating corresponding terms , we get

x/2=3

or, x=6

Also,

y/2+1=3

or, (y+2/2)=3

or, y+2=6

or, y=6-2

y=4

Therefore, x=6 and y=4.

Answer:

Step-by-step explanation:

Answer:

300

Step-by-step explanation:

5/15,20,25

3,4,5

5*4*3*5

300

Answer:

Unimodal-Skewed

Step-by-step explanation:

A distribution is called unimodal if it has only one hump in the histogram.

A symmetric distribution is equally divided on both sides of the highest hump.

The given histogram has only one hump at 4 and as it is not symmetrically distributed, it is skewed.

So the correct answer is:

Unimodal-Skewed ..

Answer:

42.1

Step-by-step explanation:

The height of the main triangle is,

h = 47√3/2 (since it's an 30-60-90 triangle)

so to find x,

tan(44) = h/x

x = h/tan(44)

x = 42.1 (rounded to the nearest tenth)

Answered by GAUTHMATH

[tex]\\ \sf\longmapsto 3x-4=x-8[/tex]

[tex]\\ \sf\longmapsto 3x-x=8+4[/tex]

[tex]\\ \sf\longmapsto 2x=12[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{12}{2}[/tex]

[tex]\\ \sf\longmapsto x=6[/tex]

Answer:

Step-by-step explanation:

This question is asking us to find where sin(2x + 30) has a sin of 1. If you look at the unit circle, 90 degrees has a sin of 1. Mathematically, it will be solved like this (begin by taking the inverse sin of both sides):

[tex]sin^{-1}[sin(2x+30)]=sin^{-1}(1)[/tex]

On the left, the inverse sin "undoes" or cancels the sin, leaving us with

2x + 30 = sin⁻¹(1)

The right side is asking us what angle has a sin of 1, which is 90. Sub that into the right side:

2x + 30 = 90 and

2x = 60 so

x = 30

You're welcome!

Answer:

15

Step-by-step explanation:

Use the distance formula

d = distance

[tex]d=\sqrt{(10-1)^2 + (-4 - (8))^2\\[/tex]

Solve the equation to get the following:

[tex]d=\sqrt{9^2 + (-12)^2}[/tex]

[tex]d = \sqrt{81+144[/tex]

[tex]d=\sqrt{225[/tex]

[tex]d = \sqrt{15[/tex]

Answer:

-15,-5,0,10,25

Step-by-step explanation:

Answer:

7.9 L

Step-by-step explanation:

Juice dispensed in 1 second=0.1 L

Juice dispensed in 36 seconds=3.6 L

Juice left=11.5-3.6=7.9 L

Answer:

b. The science students

Step-by-step explanation:

If you count the dots, they are the same for both class (9 people) but the range of the science students' scores are higher than the range for the math students, which means that the sum of their scores will be larger than the math students' and since they have the same number of people, the number being divided for the average would be the same, so the science students' average would be greater than the math's.

I hope this helped! ;D

Answer:

Step-by-step explanation:

Let

x = cost per mile

y = Total cost

Plan 1:

y = 59 + 0.15x

Plan 2:

y = 50 + 0.20x

Equate the total cost of the two plans

59 + 0.15x = 50 + 0.20x

59 - 50 = 0.20x - 0.15x

9 = 0.05x

x = 9/0.05

= 180

x = 180 miles

y = 50 + 0.20x

= 50 + 0.20(180)

= 50 + 36

= 86

y = 86

Answer:

(13.5,-46.5)

Step-by-step explanation:

Since equation 2 is missing y, then x is a constant

-2x + 61 = 34

-2x = 34 - 61

-2x = -27

x = 13.5

Then plug x into the 1st

5x + y = 21

5 * (13.5) + y = 21

67.5 + Y = 21

y = 21 - 67.5

y = -46.5

So the point satisfying both equations is (13.5,-46.5)

Answer:

Step-by-step explanation:

a1=-8

a2=3

D=11

n=-8+11(n-1)

Answer:

The best option would be the second one.

Step-by-step explanation:

This is the only option that shows that x can only be greater than -8. The circled dot means x cannot be the number the dot is sitting on, in this case, -8.

Answer:

209/50 is the improper fraction of 4.18

mixed no. is 4 9/50

If [tex]P(x) = p_nx^n + p_{n-1}x^{n-1}+\ldots+p_0[/tex] is divided by [tex](x-a)[/tex], then [tex]P(x) = (x-a) \cdot Q(x) + R(x)[/tex] for some polynomials [tex]Q,R[/tex]. Moreover, [tex]\deg R < 1[/tex] (because [tex]\deg (x-a) = 1[/tex]), so there exists  [tex]\alpha \in \mathbb{R}[/tex] such that [tex]R(x) = \alpha[/tex] for all [tex]x \in \mathbb{R}[/tex]. But if we calculate [tex]P(a)[/tex], it turns out that [tex]P(a) = (a-a)\cdot Q(a) + \alpha[/tex], so [tex]R(x) = \alpha = P(a)[/tex]. [tex]\blacksquare[/tex]

Answer:

x=12

Step-by-step explanation:

Since the polygons are similar, we can write a ratio to solve

red side / yellow side

4      2

--- = ---

x       6

Using cross products

4*6 = 2x

24 = 2x

Divide by 2

24/2 =2x/2

12=x

Answer:

12

Step-by-step explanation:

When two shapes are similar, you need to find the scale factor of two existing corresponding sides.

For example, you can do 6 and 2.

Divide:

6/2 = 3

The scale factor: 3

Now multiply 4 and the scale factor (3):

4 × 3 = 12

So, x = 12.

Hope this helped.

The square root of 100 is 10.

To check, solve 10 x 10.

Hope this helps! Please mark me as brainliest!

Have a great day!

Answer:

prime factors are factors of a number that are prime numbers, (meaning they can only be divided by 1 and itself), while odd numbers are numbers that are odd..

all odd numbers have prime factors but not all prime factors are odd numbers

Answer:

(2,5)

Step-by-step explanation:

4x - 2y = -2

6x + 3y = 27

Divide the first equation by 2 and the second equation by 3

2x - y = -1

2x + y = 9

Add the equations together

2x - y = -1

2x + y = 9

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

4x = 8

Divide by 4

4x/4 = 8/2

x =2

2x+y = 9

2(2) +y = 9

4+u = 9

y = 9-4

y=5

(2,5)

Answer:

Greatest number is 65432

Lowest number is 23456

Step-by-step explanation:

[tex]65432+23456=88888[/tex]

Answer:

C

Step-by-step explanation:

The cylinder would show an ellipse when cut diagonally. Please Brainliest PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS.

Answer:

-7 = y

Step-by-step explanation:

3x=y-5

Let x = -4

3(-4) = y-5

-12 = y-5

Add 5 to each side

-12 +5 = y-5+5

-7 = y

Answer:

not enough information

Answer:

x = 126

Step-by-step explanation:

The angles are complementary which means they sum to 180

x+54 =180

x = 180-54

x = 126