How do you do this.?

Answers

Answer 1

Answer: ok so
parabola standard form is
y=ax^2+bx+c

if you have the points
(-2,18)
(0,4)
(4,24)

sub points to find a,b and c

(-2,18)
sub -2 for x and sub 18 for y
18=a(-2)^2+b(-2)+c
18=4a-2b+c

(0,4)
sub 0 for x, nice a, an b cancel
4=a(0)^2+b(0)+c
4=0+0+c
4=c
we can sub that back later

(4,24)
24=a(4)^2+b(4)+c
24=16a+4b+c

we have

18=4a-2b+c
c=4
24=16a+4b+c
sub 4 for c

18=4a-2b+4
24=16a+4b+4
minus 4 from both sides

14=4a-2b
20=16a+4b
simlify all equations
7=2a-b
5=4a+b
add to solve for 6a
12=6a+0b
12=6a
divide both sides by 6
2=a

sub back
7=2a-b
7=2(2)-b
7=4-b
-3=b

equation is
y=2x^2-3x+4

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Tony had 1 1/2 gallons of orange juice. He drank 2/7 of the orange juice he had. How mucj orange juice did Tony drink?

PLEASE ITS DUE TONIGHT!!!! Sally rides her bike to run errands. It takes her 18 minutes at 10 mph to get to her first stop. She spends 20 minutes riding at 12 mph to get to her second stop. It then takes her 15 minutes riding at 15 mph to get home. a. Draw a speed vs. time graph for the time that Sally spent riding her bike. b. How far did she travel?

Answers

Answer:

The equation that relates distance, rate, and time is

d = rt

Step-by-step explanation:

Consider the following set of equations: Equation A: y = 2x + 4
Equation B: y = 3x + 1

Which of the following is a step that can be used to find the solution to the set of equations?

2x + 4 = 3x + 1

2x = 3x + 4

2x + 4 = 3x

2x + 1 = 3x + 4

Answers

The first one. y is equal to both equations so then you can set them equal to each other and solve for x if the questions requires it.

What is the equation of a line, in general form, that passes through point (1, -2) and has a slope of 1/3. 3x - y - 7 = 0
x - 3y + 7 = 0
x - 3y - 7 = 0

Answers

Hello,

y+2=1/3*(x-1) ==>3y+6=x-1==>x-3y-7=0

Answer C

A carpenter installed 10 windows in 4 hours.another carpenter installed 50 windows in 20 hours. Are the two carpenters working at the same rate?explain

Answers

Yes they are working at the same rate because 4x5=20 and 10 windows every four hours and 5x10= 50 so they are both working at the same rate. Or here is another answer, They are working at the same rate because one was doing 10 windows every four hours and one did 50 windows in 20 hours, so 4 x 5= 20 which is the amount of hours the other carpenter was doing so 5x10 for every four hours, and that equals 50 so they were both working at the same rate. Hope I helped :)

10/4=2.5
50/20=2.5

both carpenters are working at the same speed rate as 2.5=2.5

while still in the hospital, the doctor writes an order for an antibiotic at 400mg / kg / day. You are nervous now because the nurse was wrong before. Assuming that you weigh 132 lb, determine how many milligrams should you be given. What is the equivalent number of grams? ( Hint: 1000mg = 1 g and mg / kg / day = mg/ kg × day)

Answers

Answer:

Patient will require 23950 mg or 23.95 gm of the antibiotic per day.

Step-by-step explanation:

The doctor has written an antibiotic at 400 mg per Kg body weight per day (400 mg/Kg/day).

Weight of patient is 132 lb.

So we will convert it into kilograms.

Since 1 lb = 0.4536 Kg

Therefore, 132 lb = 132 × 0.4536

= 59.875 kg

Weight of the patient is 59.875 kg

Now we can calculate the dose of the antibiotic by this weight of the patient.

∵ 1 Kg patient requires dose of antibiotic = 400 mg

∴ 59.875 Kg patient will require the dose = 400 × 59.875

= 23950 mg

We know 1 mg = $(1)/(1000)$ gms

So 23950 mg = $(23950)/(1000)$ gms

= 23.95 gm per day

Therefore, patient will require 23950 mg or 23.95 gm of the antibiotic per day.

123 lb * (0.4536 kg/lb) * 300mg/(kg · day) = (123 * 0.4536 * 300) mg/day = 16737.84 mg/day 16737.84 mg/day * 1g/(1000mg) = 16.73784 g/day

Verify csc^4 - cot^4= 2cot^2 +1

Answers

you can factor the left side of the equation to

(csc^2 + cot^2)(csc^2 - cot^2)

then, since cot^2 + 1 = csc^2, you can replace the csc^2 in the left parentheses with cot^2 + 1, and the cot^2 in the right parentheses with csc^2 - 1 (which equals cot^2)

then, youll end up with

(cot^2 + 1 - cot^2)(csc^2 + csc^2 - 1)

combine like terms, and the left parentheses becomes 1 (cot^2 - cot^2 = 0), and the right parentheses becomes 2csc^2 - 1.

1(2csc^2 - 1) = 2csc^2 - 1

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