All in picture. math
all in picture. math - 1

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Answer 1
Answer: Attempt 2
Improvement in this question means less time taken.
The biggest drop is from 1 to 2

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Simplify the expressionx^2 + 3x - 28/ x^2 - 7x + 12Show your work.
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What two numbers add to 9 but multiply to -42

Answers

The factors of 42 are 1,42,2,21,3,14,6,7. Non of these add together to get 9. One would have to be positive and the other negative but it still doesn't work.
Hi,

x+y = 9 ⇒ x = 9-y
x·y = -42 

(9-y)·y = -42
9y-y² = -42
y²-9y-42 = 0 for a = 1, b = -9 e c = -42

Δ = b²-4ac
Δ = (-9)²-4(1)(-42)
Δ = 81+168
Δ = 249

y₁ = (-b+√Δ)/2a = (-(-9)+√249)/2(1) = (9+√249)/2 = 9/2 + √249/2
y₂ = (-b-√Δ)/2a = (-(-9)-√249)/2(1) = (9-√249)/2 = 9/2 - √249/2

For y = 9/2 + √249/2 

x+y = 9
x = 9-y
x = 9-(9/2 + √249/2)
x = 9/2 - √249/2

For y = 9/2 - √249/2

x+y = 9
x = 9-y
x = 9-(9/2 - √249/2)
x = 9/2 + √249/2

Answer:

Numbers: 9/2 + √249/2 and 9/2 - √249/2

During a clothing store’s Bargain Days, the regular price for T-shirts is discounted by $5. There is a state sales tax of 5%, and the $5 discount is applied before the sales tax is calculated.a. Write an expression that shows the regular price r of a T-shirt minus the $5 discount.

b. Write a rule for the function p(r) that expresses the final price p of a T-shirt with the discount applied and sales tax added.

c. How much would you pay during Bargain Days for a shirt regularly priced at $15.50?

Answers

Answer:

A:

Let the regular price of the t shirt be = r

Let the total cost of the t shirt be = t

So, we can say : t=r-5

B:

p(r)=1.05(r-5)

C:

p(r)=1.05(r-5)

Substituting r = 15.50

p(r)=1.05(15.50-5)

=> p(r)=1.05(10.50)

= $11.025

a) d = r - 5 where t is the full price 
b) p = ( r - 5 ) * 1.05 
c) p = (15.5-5)*1.05 = 10.5 * 1.05 = $ 11.02

The steps in writing f(x) = 18x + 3x2 in vertex form are shown, but a value is missing in the last step. Write the function in standard form. f(x) = 3x2 + 18x Factor a out of the first two terms. f(x) = 3(x2 + 6x) Form a perfect square trinomial. f(x) = 3(x2 + 6x + 9) – 3(9) Write the trinomial as a binomial squared. f(x) = 3(x + ______)2 – 27

Answers

To find the vertex form of parabolay=a(x-x_0)^2+y_0 given in almost standard formy=ax^2+bx+c, were written following steps:

1.  Write the function in standard form:

y=3x^2+18x.

2. Factor a out of the first two terms:

y=3(x^2+6x).

3. Form a perfect square trinomial:

y=3(x^2+6x+9-9)=3(x^2+6x+9)-3\cdot 9.

4. Write the trinomial as a binomial squared:

y=3(x+3)^2-27.

The vertex is (-3,-27).

Answer: missing value is 3

The function  in vertex form is y = 3( x+3)² -9

What is a Function ?

A function is a mathematical statement formed for relating a dependent and in independent variable.

It is given that

f(x) = 18x +3x²

To write it into vertex form

The standard vertex form is given by

y =a(x- h)² +k

y = 18x +3x²

y = 3(x² +6x)

y = 3 (x² + 2.3 x + 9) -9

y = 3( x+3)² -9

Therefore in vertex form the function is y = 3( x+3)² -9

To know more about Function

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What is the value of x?
-question in picture

Answers

Answer:

i have no clue at all what x

Sam's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Sam $5.70 per pound, and type B coffee costs $4.15 per pound. This month, Sam made 142 pounds of the blend, for a total cost of $688.50. How many pounds of type B coffee did he use?

Answers

Answer:

165.90 pounds

Step-by-step explanation:

Answer:

165.90

Step-by-step explanation:

Evaluate each expression for the given values of the variables. SHOW ALL WORK. -5(x+2y)+15(x+2y)

x=7

y=-7

Answers

Here you go if that helps.