Name
On the class field trip, there were
4 teachers and 35 students. Which of the
following is the ratio of students to teachers

Answer:

1/2m - 4

Step-by-step explanation:

Answer:

so you answered your own question?

Answer:

y = 7, x ≈ 9.9

Step-by-step explanation:

The remaining angle has to also be 45° which tells us we're working with an isosceles right triangle, or that y also has to be 7 (the same length).

Use the Pythagorean theorem for x.

a^2 + b^2 = x^2

7^2 + 7^2 = x^2

49 + 49 = x^2

x^2 = 98

x ≈ 9.9

Answer:

You were correct.

Step-by-step explanation:

If the input to the function y = 4x - 3 is 2 Then

y = 4 * 2 - 3

= 8 - 3

= 5

Hope it helps :)

Answer:

100°

Step-by-step explanation:

Since x and the 100 degree angle which is highlighted in blue are vertical to each other, they are parallel to each other as it is vertically opposite angles.

If they are parallel, it means

Angle highlighted in blue = 100°

x = 100°

Answer: The second one, 10 rolls for $12. 1.29 (Rounded)

Step-by-step explanation:

14/18 is 1.29 (Rounded)

10/12 is 1.20.

The unit rate is cheaper, therefore making it the better buy

Answer:

247.728

Step-by-step explanation:

(3.97)(62.4)

=247.728

Answer:

Step-by-step explanation:

Asymptote is the x axis for both functions. the y intercept is translated up to 125

A relation is a function if it has only One y-value for each x-value.

The asymptote and intercept of the given function compare to the asymptote and intercept of the function f(x) = 5ˣ

To find x- or y-intercepts, set the other variable equal to zero and solve in turn.

To find y-intercept: set x = 0 and solve for y. The point will be (0, y). To find x-intercept: set y = 0 and solve for x. The point will be (x, 0).

The asymptote is the x axis for both functions. the y intercept is translated up to 125.

Hence, asymptote is the x axis for both functions. the y intercept is translated up to 125.

To learn more on Functions click:

https://brainly.com/question/21145944

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Answer:

I think it is 73

Step-by-step explanation:

Because i tryed all of the other numbers and they didnt work

HOPE THIS HELP !!!!!!!!!!!!!!!! :)

Answer:

Part A

The equation of the parabola in standard form is f(x) = 0.5·x² + x - 7.5

Part B

The equation of the parabola in factored form is f(x) = 0.5·(x + 5)·(x - 3)

Step-by-step explanation:

The coordinates of the vertex of the parabola, (h, k) = (-1, -8)

The zeros of the parabola = -5, 3

Part A

The quadratic equation representing the parabola can be written as follows;

y = a·(x - h)² + k

The standard form of the equation is f(x) = a·x² + b·x + c

k = c - b²/(4·a)

h = -b/(2·a)

c = k + a·h² = -8 + a

From the zeros of the parabola, we have;

f(-5) = a × (-5)² + b×(-5) + c = 25·a - 5·b + c = 0

f(3) = a × (3)² + b×(3) + c = 9·a + 3·b + c = 0

Therefore, we have;

25·a - 5·b + c = 0...(1)

9·a + 3·b + c = 0...(2)

From which we have;

25·a - 5·b + c = 25·a - 5·b - 8 + a = 26·a - 5·b - 8 = 0

9·a + 3·b + c = 9·a + 3·b - 8 + a = 10·a + 3·b - 8 = 0

We then have;

26·a - 5·b = 8...(3)

10·a + 3·b = 8...(4)

Making 'b', the subject of both equations (3) and (4), equating the values, we find the value of 'a' as follows;

From equation (3), we have;

26·a - 5·b = 8

∴ b = (26·a - 8)/5

From equation (4), we have;

10·a + 3·b = 8

∴ b = (8 - 10·a)/3

From b = b, by transitive property, we have;

(26·a - 8)/5 = (8 - 10·a)/3

3 × (26·a - 8) = 5 × (8 - 10·a)

78·a - 24 = 40 - 50·a

∴ 128·a = 64

a = 64/128 = 1/2 = 0.5

a = 0.5

∴ b = (26·a - 8)/5 = (26 × 0.5  - 8)/5 = (13 - 8)/5 = 1

b = 1

c = -8 + a

∴ c = -8 + 0.5 = -7.5

c = -7.5

The equation of the parabola in standard form is therefore presented as follows;

f(x) = 0.5·x² + x - 7.5

Part B

The equation of the parabola in factored form is given as follows;

With the aid of a graphing calculator, we have;

f(x) = 0.5·x² + x - 7.5 = 0.5×(x² + 2·x - 15) = 0.5·(x + 5)·(x - 3)

The equation of the parabola in factored form is f(x) = 0.5·(x + 5)·(x - 3)

Answer:

48/5

Step-by-step explanation:

Step 1

Multiply the denominator by the whole number

5 × 9 = 45

Step 2

Add the answer from Step 1 to the numerator

45 + 3 = 48

Step 3

Write answer from Step 2 over the denominator

48/5

Answer:

12.96c

Step-by-step explanation:

Given the total cost of an item  written as c+0.08c. To get the total cost of an item that sells for 12, we will write;

1 item = c+0.08c

1 item = 1.08c

For 12items;

12 = x

Divide both expressions

1/12 = 1.08c/x

1 * x = 12 * 1.08c

x= 12.96c

Hence the total cost of 212 items is 12.96c

Answer:

its B

Step-by-step explanation:

Answer:

2/4=4/8

Step-by-step explanation:

you do 2×2=4 and 4×2=8. You multiply both denominators by 2.

Answer:

1296

Step-by-step explanation:

Answer:

what i dont understand the word

Answer:

do you need an equation? if so it would be 2x+40

Step-by-step explanation:

Answer:

130°

130-67=

63÷3=

21

x=21

Answer:

32km

Step-by-step explanation:

An octagon has 8 sides. 8 * 4 = 32

Answer:

32km

Step-by-step explanation:

To calculate the perimeter of a polygon, just add all of the sides together.

In this case, take 4 and multiply it by 8 (since there are 8 sides)

4km x 8 = 32km

Answer:

growth

Step-by-step explanation:

1.034 < 1 means the number will get larger

Answer:

Step-by-step explanation:

Since the ratio or rate is greater than one this is an exponential growth function

Answer:

I thinks its D.

Step-by-step explanation:

Answer:

320 i think lol

Step-by-step explanation:

Answer:

3.56

Step-by-step explanation:

Answer:

Step-by-step explanation:

Increase by 23%

1.23 is the answer

Answer:

[tex]x = 64 + 45 \\ x = 109[/tex]

Answer:

first option

Step-by-step explanation:

Using the rule of exponents

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex] then

[tex]5^4)^{3}[/tex] = [tex]5^{4(3)}[/tex] = [tex]5^{12}[/tex]

Answer:

Look at the graph bellow

Step-by-step explanation:

use the slope and y-intercept to graph.

Answer:

d is correct i think

Step-by-step explanation:

My brain aint working