MATHEMATICS HIGH SCHOOL

I need confirmation to this. I did it already. I just want to know if I’m right. Please work it out for me to see.

Answers

Answer 1

Answer:

(a)

4x + 3y = 23

5x + 2y = 20

(b)

4x + 3y = 23 ⇒ -2(4x + 3y = 23) ⇒ -8x - 6y = -46

5x + 2y = 20 ⇒ 3(5x + 2y = 20) ⇒ 15x + 6y = 60

7x = 14

x = 2

5x + 2y = 20

5(2) + 2y = 20

10 + 2y = 20

2y = 10

y = 5

Answer: biscuit = $2, ice cream = $5

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An antilipidemic agent contains 5 mg of the medication per tablet. How many tablets would be necessary to supply 35 mg per dose?
An equation is shown below:3(4x − 2) = 1 Which of the following correctly shows the first two steps to solve this equation? Step 1: 12x − 2 = 1; Step 2: 12x = 3 Step 1: 12x − 6 = 1; Step 2: 12x = 7 Step 1: 7x + 1 = 1; Step 2: 7x = 0 Step 1: 7x − 5 = 1; Step 2: 7x = 6
Ericka and her friends are at the fair. She has $50 to spend. If admission to the fair is $15 and each ride costs $2 to ride.
A1 + a2 + a3 + a4 + a5
Which of the following is the least? A.0.105B.0.501C.0.015D.0.15 I don't need an answer i need an explanation

What is the 10th term of the geometric sequence 400, 200, 100...?

Answers

ANSWER

$a_ {10} = (25)/(32)$

EXPLANATION

The given geometric sequence is

400, 200, 100...

The first term is

$a_1=400$

The common ratio is

$r = (200)/(400) = (1)/(2)$

The nth term is

$a_n=a_1( {r}^(n - 1) )$

We substitute the known values to get;

$a_n=400( (1)/(2) )^(n - 1)$

$a_ {10} =400( (1)/(2) )^(10 - 1)$

$a_ {10} =400( (1)/(2) )^(9)$

$a_ {10} = (25)/(32)$

Please help will give medal!!!!When given all three side lengths of a triangle but none of the angle measures, you can solve for all angle measures using __________.

Answers

If you are given with all the tree sides of the triangle, you may solve for all the angles through the Law of Cosines,
c² = a² + b² - 2ab(cos C)
where angle C is the angle opposite the side c. You may use the same equation to get the values of the remaining angle. Additionally, if you already have one known angle, you can solve for the rest of the angles by Law of Sines,
a / sin A = b / sin B = c / sin C

Ryker is given the graph of the function y= 1/2x^2 - 4 . He wants to find the zeros of the function but is unable to read them exactly from the graph. Find the zeros give answer to nearest tenth

Answers

Answer:

x= 2.8 and x= -2.8

Step-by-step explanation:

$y=(1)/(2)x^2-4$

To find out the zeros, we replace x y with 0 and solve for x

$0=(1)/(2)x^2-4$

Add 4 on both sides

$4=(1)/(2)x^2$

Multiply by 2 on both sides

8= x^2

Now we take square root on both sides

x= +- $√(8)$

x=2.82843 and x=-2.82843

x= 2.8 and x= -2.8

$y=(1)/(2)x^2-4\n\nzeros\ when\ y=0\n\n(1)/(2)x^2-4=0\n\n(1)/(2)x^2=4\ \ \ \ /\cdot2\n\nx^2=8\n\nx=-\sqrt8\ and\ x=\sqrt8\n\n\underline{\underline{x\approx-2.8\ and\ x\approx2.8}}$

7. John's seafood restaurant is trying to estimate its profits. John has found that on average, each meal served costs the restaurant $14.56 and takes in $17.12. John has also found that on average, each beverage served costs the restaurant $1.20 and takes in $5.40. If c customers order a meal, and half of those customers order a beverage, which of the following functions models the restaurant's total profit?f(c) =17.12c -14.56c + 5.40(.5c) - 1.20(.5c)
f(c) = 17.12c - 14.56c + 5.4c - 1.20c
f(c)=14.56c - 17.12c + 1.20c - 5.40c14.56c - 17.12c + 12(.5c) - 5.40(.5c)

Answers

Answer:

f(c) =17.12c -14.56c + 5.40(.5c) - 1.20(.5c)

Step-by-step explanation:

Profit is the difference between revenue (17.12c +5.40(.5c)) and cost(14.56c+1.20(0.5c)). That difference is expressed by the function shown above.

Answer:

f(c) =17.12c -14.56c + 5.40(.5c) - 1.20(.5c)

Step-by-step explanation:

Let's build the f(c) function by steps.

There are c customers.

John has found that on average, each meal served costs the restaurant $14.56 and takes in $17.12.

So, the costs for the restaurant are negative, and what takes positive.

f(c) =17.12c -14.56c

Now the final part

John has also found that on average, each beverage served costs the restaurant $1.20 and takes in $5.40.

Half of these customers order a beverage, and this is why we multiply by 0.5.

f(c) =17.12c -14.56c + 5.40(.5c) - 1.20(.5c)

Gcf of 6w square - 14w

Answers

GCF of them is 2w.

Hope this helps :)

Line JK contains points J (4, 3) and K (1, 5). Line LM contains points L (2, 3) and M (−1, 5). Lines JK and LM are

Answers

lines JK an LM are parallel

Lines JK and LM are Parallel.
When you graph them they are pointing in the same direction without intersecting and have the same slope.

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