Ok hey guys 11 its and explain so convert this into vertex form y=-2x^2 +16x-37

Answers

Answer 1

Answer: vertex form is y=a(x-h)^2+k

basically complete the square

isolate the x^2 and x term, then undistribute the -2
y=-2(x^2-8x)-37
take 1/2 of -8 and square it and add 0 to inside
y=-2(x^2-8+16-16)-37
complete the squaer
y=-2((x-4)^2-16)-37)
distribute the -16 to the -2
y=-2(x-4)^2+32-37
y=-2(x-4)^2-5

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Seven pounds of grapes cost 10.43. How much would 3 pounds cost?

Answers

To answer this we will find the unit rate by dividing. Lets do it:-

10.43 ÷ 7 = 1.49
1 pound of grapes = $1.49

CHECK OUR WORK:-

1.49 × 7 = 10.43
we were RIGHT!!!

Now lets multiply to see how much 3 pounds would cost.

1.49 × 3 = 4.47

CHECK OUR WORK:-

4.47 ÷ 3 = 1.49
We were RIGHT!!

So, 3 pounds of grapes cost $4.47.

Hope i helped ya!!

3 pounds of grapes will cost $4.47.

Sam is determining the area of a triangle. In this triangle, the value for the height is a terminating decimal, and the value for thebase is a repeating decimal. What can be concluded about the area of this triangle?

Answers

Answer:

The area is rational because the numbers in the formula are rational.

Step-by-step explanation:

All repeating decimals are still rational because they can be expressed as fractions. For example,

$$(1)/(7)=0.\overline{142857}$\end{document}$

So every recurring decimal must be a fraction.

Also every terminating decimal can be represented as a fraction.

0.25 = $(1)/(4)$

So the area is rational because the numbers are rational.

Area = $(1)/(2)$ X Base X Height

Base is Rational and Height is Rational. Hence Area=Rational.

When these rational numbers are substituted into the formula,the area must be rational.

Answer:

bro just say its C

Step-by-step explanation:

A teacher offers her students 5 fake dollars to spend in the class store, when they get a perfect score on their math tests. If one of her students gets a perfect score on 4 of the math tests and already has 25 fake dollars, how many fake dollars, in total, does this student have to spend in the class store?

Answers

Answer:

45 fake dollar.

Step-by-step explanation:

Given: teacher offer 5 fake dollar for each perfect score in Math test.

One of Student get perfect score on 4 maths test.

Student already have 25 fake dollor.

Now, solving to find total number of fake dollar teacher offered to student.

As given teacher offer 5 dollar for each perfect score in maths test and student got perfect score on 4 maths test.

Number of fake dollar offer to the student= $Fake\ dollar\ offered\ for\ each\ perfect\ score\ *\ number\ of\ maths\ test\ with\ perfect\ score$ ∴ Number of fake dollar offered to the student= $5* 4= 20\ fake\ dollar$

We know, student already have 25 fake dollar.

Next, finding total number of fake dollar student have.

Total fake dollar student have= $fake\ dollar\ offered\ by\ teacher + fake\ dollar\ student\ already\ have$ .

Total fake dollar student have= $20+25= 45\ fake\ dollar$

Hence, student have total 45 fake dollar to spend in the class store.

What is x+y+4x-3x+2y+ 3y

Answers

4x+x+y-3x+2y+3y
=2x+6y

$x+y+4x-3x+2y+ 3y=x+x+y+5y=2x+6y$

How does using an inverse operation help you solve an equation?
*Please help*

Answers

An inverse set of operations is a pair of operations that do the opposite of each other, such as multiplication and division. When solving an algebraic equation, you can use inverse functions to isolate the variable you are trying to find.
For example:
5x=25
The expression 5x was arrived at by multiplying 5 times x. To reverse that multiplication, you would divide 5x by 5 and get x. However, since this is an equation, you would need to divide both sides of the equation by 5, or else it wouldn't still be equal. The result of dividing both sides is x=5.
As you can see, by taking the inverse operation, you were able to isolate your variable (x) on one side of the equation and therefore solve for its value.

it helps you check the equation to see if you did it right hopefully i helped :}

Line CD passes through points C(3, –5) and D(6, 0). What is the equation of line CD in standard form?

Answers

To answer the problem above, we can start with the formation of the point-slope form of a line. The slope is solved through,

m = (y2 - y1)/(x2 - x1)
m = (0 - -5)/ (6 - 3) = 5/3

The point - slope form of the equation of the line is,

y - y2 = m(x - x2)

Substituting the known data,

y - 0 = (5/3)(x - 6)
This simplifies into,

y = 5x/3 - 10

Thus, the standard form of the equation is,

5x - 3y = 30

Answer: $5x-3y=30$

Step-by-step explanation:

We know that the equation a line in point-slope form passing through points (a,b) and (c,d) is given by :-

$(y-b)=(d-b)/(c-a)(x-a)$

Then , the equation a line in point-slope form passing through points C(3, –5) and D(6, 0) is given by :-

$(y-(0))=(0-(-5))/(6-3)(x-6)\n\n\Righarrow\ y=(5)/(3)(x-6)\n\n\Rightarrow\ 3y=5x-30\n\n\Rightarrow\ 5x-3y=30$

Hence, the equation of line CD in standard form : $5x-3y=30$

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