the school environment science club has $500 of funds. each time they go on a field trip. it costs them $80. Write an algebraic expression that represents the money the club has after going on x field trips

Answer:

Wdym

Step-by-step explanation:

wdym

Answer:

the answer is -1 3/4

Step-by-step explanation:

Answer:

there are 5 letters in all and 2 c's.. 2/5 2 out of every 5 times

That's increased level of warming

Answer:

The correct option is;

[tex]The \ domain \ restriction \ x \geq \dfrac{17}{2} \ results \ in \ m^{-1}(x) = \dfrac{17}{2} \pm \sqrt{x + \dfrac{289}{4} }}[/tex]

Step-by-step explanation:

The given information is that m(x) = x² - 17·x

The above equation can be written in the form;

y = x² - 17·x

Therefore;

0 = x² - 17·x - y

From the general solution of a quadratic equation, 0 = a·x² + b·x + c we have;

[tex]x = \dfrac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}[/tex]

By comparison to the equation,0 = x² - 17·x - y, we have;

a = 1, b = -17, and c = -y

Substituting the values of a, b and c into the formula for the general solution of a quadratic equation, we have;

[tex]x = \dfrac{-(-17)\pm \sqrt{(-17)^{2}-4\times (1) \times (-y)}}{2\times (1)} = \dfrac{17\pm \sqrt{289+4\cdot y}}{2}[/tex]

Which can be simplified as follows;

[tex]x = \dfrac{17\pm \sqrt{289+4\cdot y}}{2}= \dfrac{17}{2} \pm \dfrac{1}{2} \times \sqrt{289+4\cdot y}} = \dfrac{17}{2} \pm \sqrt{\dfrac{289}{4} +\dfrac{4\cdot y}{4} }}[/tex]

And further simplified as follows;

[tex]x = \dfrac{17}{2} \pm \sqrt{\dfrac{289}{4} +y }} = \dfrac{17}{2} \pm \sqrt{y + \dfrac{289}{4} }}[/tex]

Interchanging x and y in the function of the inverse, m⁻¹(x), we have;

[tex]m^{-1}(x) = \dfrac{17}{2} \pm \sqrt{x + \dfrac{289}{4} }}[/tex]

We note that the maximum or minimum point of the function, m(x) = x² - 17·x found by differentiating the function and equating the result to zero, gives;

m'(x) = 2·x - 17 = 0

x = 17/2

Similarly, the second derivative is taken to determine if the given point is a maximum or minimum point as follows;

m''(x) = 2 > 0, therefore, the point is a minimum point on the graph

Therefore, as x increases past the minimum point of 17/2, m⁻¹(x) increases to give;

[tex]The \ domain \ restriction \ x \geq \dfrac{17}{2} \ results \ in \ m^{-1}(x) = \dfrac{17}{2} \pm \sqrt{x + \dfrac{289}{4} }}[/tex] to increase m⁻¹(x) above the minimum.

Answer:

b

Step-by-step explanation:

edge 2021

Step-by-step explanation:

It A because Acute is smaller then Obtuse that what I look at

Answer:

It A

Step-by-step explanation:

Can I please get brainliest?

Answer:

a = 31°

b = 66°

Step-by-step explanation:

Reason for the answer to a:

It is an alternate angle. So, a = 31°.

Reason for the answer to b:

It is also an alternate angle. So, b = 35° + 31° = 66°.

Answer:10,2

Step-by-step explanation:

Answer:

the answer you are looking for is A

Step-by-step explanation:

Answer:

Step-by-step explanation:

3z + 9 + 142 = 4z + 5

3z + 151 = 4z + 5

-z + 151 = 5

-z = -146

z = 146

answer is B

exactly one solution

Answer:

0.03213586

Step-by-step explanation:

Answer:

y +43⁰ +123⁰ =180⁰

=) y +160⁰ =180⁰

=) y = 20⁰

Answer:

Y = 34

Step-by-step explanation:

y + 43 + 123 = 180

y + 146 = 180

180 - 146. = y = 34

Y = 34

Answer:

yes

Step-by-step explanation:

all numbers are integers

Answer:  (x - 3)² + (y + 0.5)² = 3.25    →    [tex](x-3)^2+\bigg(y+\dfrac{1}{2}\bigg)^2=\dfrac{13}{4}[/tex]

Step-by-step explanation:

Concentric means they have the same center but different radii.

The equation of a circle is:  (x - h)² + (y - k)² = r²    where

Complete the square to find the center of the circle

x² - 6x + _____  + y² + y + _____ = 1 + ____ + ____

    ↓                              ↓

-6/2 = -3                    1/2 = 1/2

Equation: (x - 3)² + (y + 1/2)² = r²

Since the circle passes through point (x, y) = (4, -2), input that into the equation to find r².

(x - 3)² +  (y + 1/2)² = r²

(4 - 3)² + (-2 + 1/2)² = r²

  (1)²    +  (-3/2)²    = r²

   1      +     9/4      = r²

                 13/4     = r²

Equation: (x - 3)² + (y + 1/2)² = 13/4    →   [tex](x-3)^2+\bigg(y-\dfrac{1}{2}\bigg)^2=\dfrac{13}{4}[/tex]

In decimal form: (x - 3)² + (y + 0.5)² = 3.25

Answer:

height: 9 units

width: 9 units

Step-by-step explanation:

Answer:

$9.86

Step-by-step explanation:

First, write both numbers in the same form. Convert 8

1

2

to a decimal.

8

1

2

= 8+

1

2

= 8+

1×5

2×5

= 8+

5

10

= 8+0.5

= 8.5

Multiply.

11.6

× 8.5

580

+ 9280

98.60

Kendra earned $98.60 last week.

Now multiply to find how much money Kendra donated to the charity last week. She earned $98.60, and she donates  

1

10

of her earnings each week.

First, write both numbers in the same form. Convert  

1

10

to a decimal.

1

10

=0.1

Multiply.

98.6

× 0.1

9.86

Kendra donated $9.86 to the charity last week.

Answer:

first check the smallest number that divide 784

i.e 2

784/2 = 392/2= 196/2 =98/2 =49/7=7

we get

748= 2*2*2*2*7*7

for square root take one out of 2 same number

square root of 784= 2*2*7 = 28

Answer:

28

Step-by-step explanation:

784=2×2​×2×2​×7×7​⇒784 ​=2×2×7=28

Answer:

The ratio is 7:13

Step-by-step explanation:

Answer:

The answer is -2.066 rounded up from the thousandths

Step-by-step explanation:

It is a bit difficult to divide by such an exact value, but I hope this helps!

Steps to solve:

-4x = 12

~Divide -4 to both sides

x = -3

Best of Luck!

Answer:

x=-3

Step-by-step explanation:

-x=12/4

-x=3

×=-3

Answer:

[tex] \boxed{ \bold{ \boxed {\huge{ \sf{ {x}^{2} + 7x}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{x(x + 7)}[/tex]

Distribute x through the parentheses

[tex] \dashrightarrow{ \sf{x \times x + x \times 7}}[/tex]

[tex] \dashrightarrow{ \boxed{ \sf{ {x}^{2} + 7x}}}[/tex]

Hope I helped!

Best regards! :D

Answer:

6cm

Step-by-step explanation:

a2 + b2 = c

(1.4)2 + (2)2 = c

1.96 + 4 = 5.96

=5.96cm (round it)

final answer = 6cm

Answer:

CB = 1.4 cm

Step-by-step explanation:

Given is a right angled triangle.

[tex] {x}^{2} + {1.4}^{2} = {2}^{2} \\ {x}^{2} + 1.96= 4 \\ {x}^{2} = 4 - 1.96 \\ {x}^{2} = 2.04 \\ x = \sqrt{2.04} \\ x = 1.42828569 \\ x \approx 1.4[/tex]

CB = 1.4 cm

Answer

I think first 3

Step-by-step explanation:

A slope is also known as the gradient of a line. The points that would be on lines that represent a unit rate greater than the one represented in the table are the first three points.

A slope also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.

slope = (y₂-y₁)/(x₂-x₁)

The slope of the function that the table represents is 2.2.

Also, the slope of the different points and the origin will be shown on the points that would be on lines that represent a unit rate greater than the one represented in the table are the first three points.

Hence, the points that would be on lines that represent a unit rate greater than the one represented in the table are the first three points.

Learn more about Slope of Line:

https://brainly.com/question/14511992

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Answer:

7=8/5 (3x+5)

or (7*5)= 24x + 40

or 24x = -5

x = -5/24

Step-by-step explanation:

Answer:

0 m/s

Step-by-step explanation:

The line is flat so there is no movement

Answer:

b

Step-by-step explanation:

on this graph a horizantal line means no speed because there is no change in distance