Louises saving change by -9 dollars each time she goes bowling in all a change by -$99 during the summer how many times did she go bowling in the summer

The evaluation of  f(-1) given the quadratic equation f(x)=(x-2)^2 + 3 gives 12

Given the quadratic equation f(x)=(x-2)^2 + 3. To evaluate to f(-1), we will substitute x = -1 into the equation:

Since f(x)=(x-2)^2 + 3

Therefore  f(-1) = (-1 - 2)^2 + 3

                       = (-3)^2 + 3

                       = 9 + 3 = 12

Therefore, the value of c is 12. This shows the concept of functions and equations.

Learn more about  quadratic equation on:

https://brainly.com/question/15738885

#SPJ1

–π/2 is the exact value of arcsine (-1).

The six main inverse trigonometric functions include arcsin. It is the sine function's inverse trigonometric function. The mathematical symbol for arcsin, commonly known as inverse sine, is arcsin x or sin-1x (read as sine inverse x). Sin-1x is not the same as (sin x)-1; that is, sin-1x is not the reciprocal function of sin x. This is an important distinction to make. We may use the six inverse trigonometric functions arccos, arcsin, arctan, arcsec, arccsc, and arccot to calculate angles. Arcsin x calculates the angle that corresponds to the right-angled triangle's perpendicular to hypotenuse ratio. We shall examine the idea of arcsin in this article and determine its formula. We'll also talk about the domain and range.

To know more about arcsine ,visit:

brainly.com/question/28553677

#SPJ13

The length of trail is each member responsible for cleaning is 0.3.

Given,

In the real world the local preservation group is cleaning up a 3 3/5 km hiking trail twelve members sign up to help.

To find the length of trail is each member responsible for cleaning.

(Division of fractions)

Now, According to the question:

Based on the given condition

= [tex]3\frac{3}{5}[/tex] ÷ 12

= 18/5 ÷ 12

Convert into decimal

= 3.6 x 1/12

= 0.3

Hence, The length of trail is each member responsible for cleaning is 0.3.

Learn more about Fractions at:

https://brainly.com/question/10354322

#SPJ1

The function is given to be:

The object hits the ground when the function is equal to zero:

Solving the equation by factorization, we have:

Since the time cannot be negative, then the time will be 3 seconds.

Therefore, it will take 3 seconds for the object to hit the ground.

Answer:

u = -7

Step-by-step explanation:

26 = -12u - 9 + 7u

combine u terms on right side:

26 = -5u - 9

add 9 to both sides:

26 + 9 = -5u - 9 + 9

35 = -5u

divide both sides by -5:

35/-5 = -5u/-5

u = -7

Answer:

Second Choice: 8.73b + 171.48 > 381

Step-by-step explanation:

This is a tricky question because the first two choices both represent an inequality that satisfy the conditions

First, let's eliminate obvious wrong choices.

If b represents the number of bags of dog food and one bag costs $8.73, there should be term 8.73b somewhere in the inequality since 8.73b represents the total $ cost of b bags of dog food.

This means we can eliminate the last two choices

Let's deal with the knowns and compute the dollar amounts of each of the products being donated

30 cans of cat food at $0.57 per can = 0.57 x 30 = $17.10

34 cans of dog food at $0.84 per can = 0.84 x 34 = $28.56

18 bags of cat food at $$6.99 per bag = 6.99 x 18 = $125.82

The sum of these is $171.48

She is also donating b bags of dog food at $8.73 per bag = 8.73 x b = $8.73b

So the total cost of the donation =
8,73b + 171.48 which has to exceed 381

So the inequality is
8.73b + 171.48 > 381

Which is the choice you have selected and I believe it is correct

Now, the tricky part comes because if you subtract 171.84 from both sides of the inequality we get

8.73b > 318 - 171.48

Both inequalities are equivalent but we would not write an inequality of the type where the RHS is a mathematical expression. We would instead simplify the right hand side and write it as

8.73b > 209.52    (381-171.48 = 209.52)

I believe the way the question is worded is the LHS should be the $sum of all the donations and the RHS the minimum value.

So the best choice is choice 2: 8.73b + 171.48 > 381

i hope that helps.

HG is the answer.

hope this helps

The first one is GH Segment.

Both shapes are similar. The figure on the right is a scaled version of the figure on the left. The VU edge in the left figure corresponds to the GH edge in the right figure.

The second one is %[tex]150[/tex].

As can be seen, the VU edge is [tex]2[/tex] units long while the GH edge is [tex]3[/tex] units long. By proportioning these edges and multiplying by [tex]100[/tex], we find the scaling factor. It is [tex]\frac{3}{2}[/tex].

Answer: x=3

Step-by-step explanation: Multiply both sides of the equation by 3 to get 4x+2x=x+15. Combine like terms. (underlined) 6x=x+15. Move variable to left side and change its sign. 6x-x=15. Combine like terms again. 5x=15. Divide both sides of the equation by 5 to get x=3.

So, if we apply the power's rule, we notice that if the base is the same, the exponents can be substracted. Like this

So the answer is 1 / x to the 9th power

Answer:

y=3/2x+3

Step-by-step explanation:

gradient is dy/dx

so up 3 and across 2

3/2

crosses at 3

Answer:

y=-3/2x+3

Step-by-step explanation:touches y axis at 3 and negative 3/2 slope

Based on mathematical operations, the number of people that 10 gallons of punch can serve is 192 persons.

The number of people can be determined using mathematical operations of multiplication based on converting the gallons to ounces and division.

The number of gallons of punch to serve at the first meeting = 10 gallons

The quantity of punch per serving = 8 ounces

1 gallon = 153.722 ounces

10 gallons = 1537.22 ounces

The persons that can be served 8 ounces from the 10 gallons = 192 (1,537.22/8).

Thus, mathematically, from the 10 gallons of punch, the PTA can serve 192 persons.

Learn more about mathematical operations at https://brainly.com/question/20628271

#SPJ1

P(X < 8.4)

= P(Z < (8.4 - 8.5) / (0.22 / sqrt(37)))

= P(Z < -2.76 ) = 0.0029

So the probability  is 0.0029

Learn more about Probability :

https://brainly.com/question/13604758

#SPJ4

The expression has a value of -1400 when evaluated

From the question, the expression is represented as

-5 x 14 ÷ 3/4 x 15

Start by evaluating the product of -5 and 14

So, we have the following equation represented as

-5 x 14 ÷ 3/4 x 15 = -70 ÷ 3/4 x 15

Next, we rewrite the quotient as products

So, we have the following equation represented as

-5 x 14 ÷ 3/4 x 15 = -70 x 4/3 x 15

Divide 15 by 3

So, we have

-5 x 14 ÷ 3/4 x 15 = -70 x 4 x 5

Continue by evaluating the product of -70 and 4

So, we have the following equation

-5 x 14 ÷ 3/4 x 15 = -280 x 5

Lastly, we have

-5 x 14 ÷ 3/4 x 15 = -1400

Hence, the value of the expression is -1400

Read more about expressions at

https://brainly.com/question/20662459

#SPJ1

We were informed that the net income will be $725,000, since that value represents 30% of the total annual sales we can apply a rule of three to solve the problem. We do that by making 30% represent $725,000 in the same proportion that 100% represents the total anual sales, x. We have:

We can cross multiply to find the value of "x".

The total annual sale on this year will be approximately $2,416,666.667.

The larger number is 49 and the smaller number is 16.

The first step is to form a linear expression that represents the larger number.

Let the smaller number be represented with y

The larger number is represented with this linear expression : 1 + 3y

The sum of the two numbers : 1 + 3y + y = 65

Take the following steps to determine the value of the smaller number:

Combine similar terms: 65 - 1 = 3y + y

Add similar terms together: 64 = 4y

Divide both sides by 4: y = 64 / 4

y = 16

Larger number = 1 + 3(16)

1 + 48 = 49

To learn more about word problems, please check: https://brainly.com/question/17339824

#SPJ1

Answer:

1.  R

2.  IR

3.  R

4.  IR

5.  IR

6.  R

7.  R

8.  IR

9.  R

10. R

Step-by-step explanation:

Note on #5: purchasing something on sale that you were already going to buy would be responsible, but not simply BECAUSE the item is on sale and you were not already needing to purchase it.

Answer:

5x2 + 24x + 20

Step-by-step explanation:

If the Vistaprint offers the first 500 business card for free and each additional set of 500 card cost $9.99

Part A

The equation that gives the total cost (in dollars) of card  C, in terms of the number(in group of 500) of business cards b ordered is C = 9.99×b -9.99

Part B

The cost of buying 3500 business cards is $59.94

The Vistaprint offers the first 500 business cards for free

The cost of each additional set of 500 cards = $9.99

Part A

Consider the total cost of the card = C

Number of business card in group of 500 = b

Then the equation of the total cost of cards

C = 9.99×b -9.99

Part B

Total number of cards = 3500

Number of cards in group of 500 = 3500/500

= 7

The cost of buying 3500 business card = 9.99×7-9.99

= 69.93-9.99

= $59.94

Hence, If the Vistaprint offers the first 500 business card for free and each additional set of 500 card cost $9.99

Part A

The equation that gives the total cost (in dollars) of card  C, in terms of the number(in group of 500) of business cards b ordered is C = 9.99×b -9.99

Part B

The cost of buying 3500 business cards is $59.94

Learn more about equation here

brainly.com/question/14603452

#SPJ1

The expression of (x-9)(x+6) as a trinomial is x²  -3x - 54

A trinomial is an algebraic expression that has three non-zero terms.

In a simpler terms, the definition of a trinomial is a math equation that has three terms which are connected by plus or minus notations.

Therefore, let's express  (x-9)(x+6) as a trinomial.

Hence,

(x-9) (x+6) = x²  + 6x - 9x - 54

Finally,

x²  + 6x - 9x - 54 = x²  -3x - 54

Therefore, the trinomial form of (x-9)(x+6)  is  x²  -3x - 54

learn more on trinomial here: https://brainly.com/question/20259268

#SPJ1

Answer:

The square root of 3 is an irrational number if that's what you were asking

Answer:

4 hours

Step-by-step explanation:

he was gone for 5 hours, he spent an hour driving.

5 - = 4 hours at work.

Answer:

4 hours

Step-by-step explanation:

says he was gone 4 hours, he was at work

Answer: x=560 miles per hour

Step-by-step explanation:

[tex]\displaystyle\\2.25=\\\\2\frac{1}{4}= \\\\\frac{2*4+1}{4}=\\\\\frac{8+1}{4}=\\\\\frac{9}{4}\ hours[/tex]

The second plane left at 10:00 a.m. so, him fly was 1.25 hours:

[tex]\displaystyle\\1.25=\\\\1\frac{1}{4}=\\\\\frac{1*4+1}{4}=\\\\\frac{4+1}{4} =\\\\\frac{5}{4} \ hours[/tex]

Let x represent the first plane's average rate

Hence, (x-108) represent the second plane's average rate

So,

[tex]\displaystyle\\\frac{9}{4}x+\frac{5}{4} (x-108)=1825\ \ \ \ (1)\\[/tex]

Multiply both parts of the equation by 4:

[tex]9x+5(x-108)=7300\\\\9x+5x-540=7300\\\\14x-540+540=7300+540\\\\14x=7840[/tex]

Divide both parts of the equation by 14:

[tex]x=560\ miles/hour[/tex]

The dimensions yielding the greatest area (125*250).

What is a dimensions?
The minimal number of coordinates required to specify any point within a dimensional vector space (or object) is known as the dimension in physics and mathematics. Because only one coordinate is required to specify a point on a line, such as the point at 5 on the a number line, a line is said to have one dimension (1D). Because two coordinates are required to specify a point on a surface, such as the perimeter of a sphere or cylinder, it is referred to as having a dimension of two (2D). For instance, a point on the a sphere's surface requires both a latitude and a longitude to be located. A two-dimensional space just on plane is referred to as a Euclidean space.

The perimeter is 2a+b = 500

                             b= 500-2a

Max are is A = ab

A= a(500-2a)

 = 500a - 2[tex]a^{2}[/tex]

for max value

a = -y/2x

  = -500/2(-2)

= 125 feet

and b = 250 feet

Greatest area (125*250) = 31250 feet²

Hence dimensions yielding the greatest area (125*250).

Learn more about dimensions by following the link below.
https://brainly.com/question/26740257
#SPJ4

Answer:

b = ca

c = ba

Step-by-step explanation:

Average rate of change = 2

How to find the average rate of change?

Given:

Input(x) = 1, 2, 3, 4, 5

Output(y)= 11,13,15,17,19

We know,

Average rate of change = change in output/change in input

                                          [tex]=\frac{y_1-y_2}{x_1-x_2}\\\\=\frac{11-13}{1-2} \\\\ =\frac{-2}{-1} \\\\=2[/tex]

What is average rate of change?

To learn more about average rate of change, refer:

https://brainly.com/question/24313700

#SPJ13

If x=lyl with inputs x = 1, x = 2, and x = 3 then y = ±1, y = ±2, and y = ±3.

To solve this problem we have to learn about the modulus operator and absolute value.

What is absolute value?

Absolute value is the distance of a number from zero.

Example: for -12, the distance from 0 is 12. Therefore 12 is the absolute value of -12.

What is the mod operator?

A Mod operator is a mathematical device that converts all types of integers into a positive integer or it finds the absolute value.

Now, we have to find values.

To know more about absolute values visit,

https://brainly.com/question/1301718?referrer=searchResults

#SPJ9

By using the fact that ∠4 and ∠5 add up to 180° and ∠5 = ∠7, we conclude that the measures of the angles are:

∠5 = ∠7 = 56°.

For angles formed by the interception between lines meet the following property.

If the angles are one next to the other, the measures add up to 180°.

If not, then the two angles have the same measure.

This means that:

∠5 = ∠7

∠8 = ∠6

And so on.

If the two horizontal lines are parallel, then:

∠5 = ∠1

And we know that:

∠4 + ∠1 = 180°

124° + ∠1 = 180°

∠1 = 180° - 124° = 56°

Then we get that:

∠5 = ∠7 = 56°.

Learn more about angles:

https://brainly.com/question/25716982

#SPJ1

Answer: 4x + 11 = 4(8)  

Step-by-step explanation: