The Choir Booster Club had a budget of $1,500 at the start of the school year. They spend $225.30 on t-shirts, $482.25 on lost uniforms, and $135.68 on a holiday party. How much does the booster club have left in their budget?

Answer:

A quadratic equation for the large cables is [tex]f(x) = \dfrac{87 }{512072} \cdot x^2 + 1.5[/tex]

Step-by-step explanation:

The shape of the quadratic equation representing the large cables is a parabola

Taking the point of the smallest vertical cables as the vertex, (h, k) with coordinates, (0, 1.5), we have;

h = -b/(2·a)

∴ 0 = -b/(2·a), from which we have, b = 2·a × 0 = 0

k = 1.5 = c - (b²/(4·a) = c - (0/(4·a)) = c

∴ c = 1.5

The standard form of the quadratic equation, a·(x - h)² + k is therefore, given as follows;

f(x) = a·(x - 0)² + 1.5 = a·x² + 1.5

At the towers which are on either side of the bridge, when x = 1012/2 = 506, f(x) = y = 45

Therefore, we have;

45 = a·506² + 1.5

a = (45 - 1.5)/506² = 87/512072 ≈ 1.699 × 10⁻⁴

The quadratic equation for the large cables, f(x), can therefore be presented as follows;

[tex]f(x) = \dfrac{87 }{512072} \cdot x^2 + 1.5[/tex]

Step-by-step answer:

0.5(x+0.8)=1.4

0.5x+0.4=1.4

0.5x+0.4-0.4=1.4-0.4

0.5x=1

0.5x/0.5=1/0.5

x=2

Plzzzzz give me Brainliest!!!!!  

Answer:

Step-by-step explanation:

9/7

Hope it helped you.

Please mark me brainliest.

Answer:

equation- 4x + 50 = 130

Step-by-step explanation:

once solved you will know the number of bags Emily purchased (x).

Answer:

8.5%

Step-by-step explanation:

8.50% of 52= 4.42

Answer:

do I solve it or what am I supposed to do

Answer:

y=6

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Hi there!

for an expression to be algebraic, there needs to be a variable.

The only option with a variable is c, with a variable of n.

I hope this helped!

Answer:

Step-by-step explanation:

[tex]\log_2x +\log_2(x-7) = 3\\\\\log_2[x\cdot(x-7)]= 3\log_22\\\\\log_2(x^2-7x)= \log_22^3\\\\x^2-7x=2^3\\\\x^2-7x-8=0\quad\implies \quad a=1\,,\ \ b=-7\,,\ \ c=-8 \\\\x=\dfrac{-(-7)\pm\sqrt{(-7)^2-4\cdot1\cdot(-8)}}{2\cdot1}= \dfrac{7\pm\sqrt{49+32}}{2} =\dfrac{7\pm\sqrt{81}}{2}\\\\x=\dfrac{7+9}2=8\qquad\vee\qquad x=\dfrac{7-9}2=-1[/tex]

Answer:

(x + 5) B. (x - 5) C. (x + 3) D. (x - 3) = = 0

Step-by-step explanation:

The calculator performs basic and advanced operations with fractions, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation procedure. Solve problems with two, three, or more fractions and numbers in one expression.

Rules for expressions with fractions:

Fractions - use the slash “/” between the numerator and denominator, i.e., for five-hundredths, enter 5/100. If you are using mixed numbers, be sure to leave a single space between the whole and fraction part.

The slash separates the numerator (number above a fraction line) and denominator (number below).

Mixed numerals (mixed fractions or mixed numbers) write as non-zero integer separated by one space and fraction i.e., 1 2/3 (having the same sign). An example of a negative mixed fraction: -5 1/2.

Because slash is both signs for fraction line and division, we recommended use colon (:) as the operator of division fractions i.e., 1/2 : 3.

Decimals (decimal numbers) enter with a decimal point . and they are automatically converted to fractions - i.e. 1.45.

The colon : and slash / is the symbol of division. Can be used to divide mixed numbers 1 2/3 : 4 3/8 or can be used for write complex fractions i.e. 1/2 : 1/3.

An asterisk * or × is the symbol for multiplication.

Plus + is addition, minus sign - is subtraction and ()[] is mathematical parentheses.

The exponentiation/power symbol is ^ - for example: (7/8-4/5)^2 = (7/8-4/5)2

Answer:

After paying her suppliers, she made $4,575.

Step-by-step explanation:

First, you have to multiply the number of pounds purchased for the price:

$1.29*1250=$1,612.5

$1.50*1500=$2,250

Now, you can add both amounts to find the total cost:

$1,612.5+$2,250=$3,862.5

Now, you have to find the total amount of lb purchased and determine the kg they represent given that 1 kg is equal to 2.20 lb:

1250+1500=2750

2.20 lb  →  1 kg

2750 lb →    x

x=(2750*1)/2.20= 1250 kg

Now, you can find the total amount sold by multiplying the price per kilogram for the amount of kg:

$6.75*1250=$8,437.5

Finally, you have to subtract the total cost from the total amount sold:

$8,437.5-$3,862.5=$4,575

According to this, the answer is that after paying her suppliers, she made $4,575.

Answer:

3 x ^3  −  4 x ^2  −  23 x  +  10

Step-by-step explanation:

hope this helps!

Answer:

B for sure

Step-by-step explanation:

The amount of energy used decreases by a different amount each year.

Option B is the correct answer.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

From the table,

Amount of energy used.

First-year: 1,000,000

Second-year: 900,000

Third year: 810,000

Fourth-year: 792,000

The difference between the amount of energy between consecutive years.

1,000,000 - 900,000 = 100,000

900,000 - 810,000 = 90,000

810,000 - 792,000 = 18,000

We see that,

There is a different amount of energy decreasing each year.

Thus,

The amount of energy used decreases by a different amount each year.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ7

Answer:

0.32 is the answer. to this question

Answer:

86

Step-by-step explanation:

36 + 4 = 40 x 2 =80  

36 x 2 = 82 = 4 - 86

Hope it helps!

The special number was supposed to be; 76

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

For age 'a', the special number was

 2a +4

Tammi's mother actually calculated it as;

 2(a +4) = 2a +8

Now a value that is (2a+8) -(2a+4) = 4 more than it was supposed to be.

The special number was supposed to be;

80 -4 = 76.

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ2

Answer:

-759

Step-by-step explanation:

Any number powered by 0 equals to 1, so the equation then becomes 1 × 5x - 789, but then x is 6, so it's 30 - 789, which is -759.

Answer:

the value of this is-217÷4 = -54.25

Answer:

2x + 7= 4x + 17

x=−5

Answer:

Steps

12+6>42

simplify

18>42

There for the solution us FALSE

Answer:

[tex]y=5x-20[/tex]

Step-by-step explanation:

Point-slope form.

[tex]\frac{y-(-5)}{x-3} = 5\\y+5 = 5x-15\\y=5x-20[/tex]

Answer: The answer is 8

Step-by-step explanation: 8 x 25 =200

Answer:

In the same manner, the third integer can be represented as n + 2 {n + 2} n+2 and the fourth integer as n + 3 {n + 3} n+3. We can then translate “the sum of four consecutive integers is 238” into an equation.

Step-by-step explanation:

Ah! It's me! I lost my password-

I'm kAtSuKiBaKuGo02 qmp

Answer: f(4)=-1280

Step-by-step explanation:

Answer:

x=13

Step-by-step explanation:

Move all terms that don't contain  x to the right side and solve.

Brainly plss

Answer:

x=13

Step-by-step explanation:

Answer:

what do you need help on?

Answer:

The y intercept is zero

Step-by-step explanation:

Answer:

1st ? -> -6x

2nd ? -> 4x

3rd ? from left -> 4x

4th ? -> 24

5th ? -> 6