Which represents where f(x) = g(x)?
f(2) = 9(2) and f(0) = g(0)
f(2) = g(0) and f(0) = g(4)
f(2) = g(0) and f(4) = g(2)
of(2) = g(4) and f(1) = g(1)

Answer:

What does the graph look like

Step-by-step explanation:

The inequality given is y> fx+5, if we plot the graph of the two inequalities, the graph of the inequalities will never meet at any point.

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal symbol ()" to indicate that two values aren't equal. But several inequalities are utilised to compare the numbers, whether they're less than or higher than.

The different inequality representations, properties, and methods for resolving linear inequalities throughout one variable or two variables will all be covered in this article along with examples. The inequality given is y> fx+5, if we plot the graph of the two inequalities, the graph of the inequalities will never meet at any point.

Therefore, the inequalities have no solution since their graph does not intersect or overlap.

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Answer:

Step-by-step explanation:

Q1) 15+15+15+15+15+15=90

Answer : 1 over 90 as a fraction

Q2) 2 over 2

Q6) 13 over 52

Answer:

81 yards

Step-by-step explanation:

Answer:

1 mile is 1.6 km

Step-by-step explanation:

I don't know how to explain

Answer:

C would be irrational.

Step-by-step explanation:

Irrational means that you cannot make a distinct ratio with the number. One of the more famous irrational numbers are π. You cannot make π into a fraction with whole numbers for a numerator and denominator.

Other examples of irrational numbers are square roots that are not perfect square roots. C is not a perfect square so it is irrational.

Answer:

Area = 88 square units

Step-by-step explanation:

The length of the blue rectangle can be found by subtracting 15 and 4, which equals 11. The width of the blue rectangle can be found by subtracting 6 from 14, which equals 8.

area = length x width

area = 11 x 8

area = 88 square units

Answer:

x = -6

Step-by-step explanation:

-13x=78

Divide each side by -13

-13x/-13 = 78/-13

x =-6

Answer:

x = -6

Step-by-step explanation:

-13x = 78

x = 78/-13

x = -6

Hey!!!

It is a right angle.

The answer is yes; 4^2+3^2=5^2 [option D]

please see the attached picture for full solution

Hope it helps

Answer:

D.

Step-by-step explanation:

The two types of angle measurements are:

1) Degrees ( ° )

2) Radians ( r)

Answer: Complete the statement: 0.6L =______mL.

A. 600

Answer: The length of point A(-3,1) and B(2,6) is [tex]5\sqrt{2}\text{ units}[/tex] .

Step-by-step explanation:

We know that the distance between the two points (a,b) and (c,d) is given by :-

[tex]d=\sqrt{(a-c)^2+(b-d)^2}[/tex]

Given points = A(-3,1) and B(2,6)

Therefore the distance between the points A(-3,1) and B(2,6) is given by :-

[tex]d=\sqrt{(-3-2)^2+(1-6)^2}\\\\\Rightarrow\ d=\sqrt{(-5)^2+(-5)^2}\\\\\Rightarrow\ d=\sqrt{25+25}\\\\\Rightarrow\ d=\sqrt{50}\\\\\Rightarrow\ d=\sqrt{25\times2}\\\\\Rightarrow\ d=\sqrt{5^2\times2}\\\\\Rightarrow\ d=5\sqrt{2}\text{ units}[/tex]

Hence, the length of point A(-3,1) and B(2,6) is [tex]5\sqrt{2}\text{ units}[/tex] .

Answer:

B is the correct answer

Step-by-step explanation:

Dimensional Analysis

Answer:

384 3/4

341 1/4

box A

Step-by-step explanation:

The volume of the box is given by the formula:

Volume = length * width * height

The volume of the box A is:

Volume_A = 9.5 * 3 * 13.5 = 384.75 cm3 = 384 3/4 cm3

The volume of the box B is:

Volume_B = 10 * 3.25 * 10.5 = 341.25 cm3 = 341 1/4 cm3

The volume of the box A is greater than the volume of the box B, so Megan should use the box A

Answer:

1209

Step-by-step explanation:

v= pi* r^2* h         r= d/2

soda:

d = 2    r = 1

h = 5

grabage:

d = 24   r = 12

h = 42

volume G: 19000.35

volume S: 15.71

volume G/ Volume S = # of soda cans

Answer: -20

Step-by-step explanation:

We can set up an equations with the conditions we are given. Let's use x for the missing number.

2(x-4)=3(x+4)

2x-8=3x+12

-20=x

Answer:

see below

Step-by-step explanation:

2(x-4) =3(x+4)

sum is addition

difference is subtraction

2 is multiply by2

solve 2(x-4) =3(x+4) distribute on both sides

2x - 8 = 3x + 12 add 8 on both sides

2x = 3x + 20 subtract 3x on both sides

-x = 20 multiply by -1

x = -20

Answer:

3+2c

Step-by-step explanation:

To translate the phrase into an algebraic expression, you have to analyze the information provided. Three dollars more than twice the cost of a bowl of soups means that given that c is the costs of a bowl of soup, you have to multiply c for 2 as the phrase says twice the cost. Also, it says three dollars more which means that you have to add 3. According to this, the expression is: 3+2c.

Answers:

1. 90in^2       2. 238cm^2

Step-by-step explanation:

For the first one:

6•3=18

6•3=18

3•3=9

3•3=9

6•3=18

6•3=18

Now we add them all up:

18+18+9+9+18+18=90in^2

For the second one:

7•5=35

7•5=35

7•7=49

7•7=49

7•5=35

7•5=35

Now we add them all up:

35+35+49+49+35+35=238cm^2

Answer:

Option B; False

Step-by-step explanation:

Consider a Triangle Inequality to prove that these segments could form a triangle;

[tex]| a - b | < c < a + b,\\| c - a | < b < a + c,\\| c - b | < a < b + c, Considering - a - segment AC ( 8 units ) - b - BC ( 7 units ), - c - BC ( 15 units )\\\\| 8 - 7 | < 15 < 8 + 7,\\1 < 15 < 15, Now 15 is not < 15, it is =, thus ;\\Solution ; False[/tex]

These segments could not form a triangle

Answer:

B

Step-by-step explanation:

The red line is y = 2x + 3 and the blue line is y = -2x - 4. The solution will be shaded on the left side of the red line and below the blue line which is Graph B.

Answer:

B

Step-by-step explanation:

Check the inequalities

Answer:

The number line should have a filled in dot at -3 and should extend to the left where it is negative.

Step-by-step explanation:

If -3 is greater than or equal to c, then c has to be equal to -3 or smaller. So, the number line should include -3 with a filled in dot and should extend to the left of -3 where the more negative numbers are.

Answer:---> or o---> i think

Step-by-step explanation:

Answer:

answer is 5 my explanation is I took the quiz a.d bit but right

Answer:

Step-by-step explanation:

1. not equivalent

2. not equivalent

3. fully simplified

4.not fully simplified

5. not fully simplified

6. not fully simplified

Answer:

970.2

28x11x6.3

1,940.4/2

970.2

Answer:

(8x-9)(8x+9)

Step-by-step explanation:

64x^2 - 81

Rewriting

(8x)^2 - 9^2

We recognize that this is the difference of squares

a^2 - b^2 = (a-b)(a+b)

(8x-9)(8x+9)

Answer:

(8x+9)(8x-9)

Step-by-step explanation:

64x^2= 8x*8x

-81= 9*-9

First, let's square all the given measures, so we have 25, 27, 4, and 49. For three measures to form the sides of a right triangle, two of these squares have to add up to the third.

By inspection, we see that the measures of [tex]\boxed{5,\sqrt{27},7}[/tex] form a right triangle, since [tex]25+27=49.[/tex]

Answer:

a) see the attached file

b) Coordinates of vertex = (0, 4)

Step-by-step explanation:

Given:

Focus of parabola is [tex](0,7)[/tex] and the directrix is [tex]y=1[/tex]

To sketch: the parabola

To find: coordinates of the vertex

Solution:

As the focus lies on the y-axis and y-coordinate of the focus is positive,

equation of parabola is [tex](x-h)^2=4p(y-k)[/tex]

Here, [tex](h,k)[/tex] denotes the vertex of parabola, focus is [tex](h,k+p)[/tex] and the directrix is [tex]y=k-p[/tex]

According to question,

[tex](h,k+p)=(0,7)[/tex]

[tex]k-p=1[/tex]

So, [tex]h=0[/tex]

[tex]k+p=7\,,\,k-p=1[/tex]

On adding these equations,

[tex]k+p+k-p=7+1\\2k=8\\k=4[/tex]

Put [tex]k=4[/tex] in [tex]k+p=7[/tex]

[tex]4+p=7\\p=7-4\\p=3[/tex]

So, equation of parabola is [tex](x-0)^2=4(3)(y-4)\Rightarrow x^2=12(y-4)[/tex]

For part a), see the attached file.

b)

Coordinates of vertex = [tex](h,k)=(0,4)[/tex]

Answer:

yes you are correct

Step-by-step explanation:

The answers are a)  y is the dependent variable, x is the independent value. b) 33 weeks and c) $2950

The independent variable is the cause. Its value is independent of other variables in your study. The dependent variable is the effect. Its value depends on changes in the independent variable.

Given that, The amount of money in Alexander’s account is, y = 4000 − 70x, where y is the amount in dollars and x is the time in weeks.

a) Here, y is the dependent variable as it depends on the value of x, and x is the independent value.

b) We have, total amount = $1701

Therefore, put y = $1701

$1701 = 4000 − 70x

70x = 2999

x = 32.84 ≈ 33 weeks

c) In 15 weeks the amount will be =

y = 4000 - 70(15)

= $2950

Hence, the answers are a)  y is the dependent variable, x is the independent value. b) 33 weeks and c) $2950

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Answer:

D. 2:1

Step-by-step explanation:

Imagine a line that is parallel to the top of the square that passes thru point O

that would make two more triangles. The two in the top would be equal and the two in the bottom would be equal.

Therefore, the area of square KLMN is two times the area of triangle LOK

Answer:

D. 2:1

Step-by-step explanation:

ratio of areas:

Answer: 2:1 option D