All categories

3 years ago

Which adjustment would turn the equation y = -3x^2+4 into a linear function?

Mathematics

2 answers:

monitta3 years ago

7 0

Answer:

Step-by-step explanation:

Sveta_85 [38]3 years ago

3 0

A is the answer. Take 4 out of the equation

You might be interested in

A kayaker can paddle 12 mi in 2 h moving with the river current. Paddling at the same pace, the trip back against takes 4 h. Ass

Firdavs [7]

Downstream DATA:
distance = 12 miles
time = 2 hours
rate = 12/2 = 6 mph
----------------
Upstream DATA:
distance = 12 miles
time = 4 hrs
rate = 12/4 = 3 mph
----
Equations:
Downstream: b + c = 6
Upstream::: b - c = 3
------
Add to get:
2b = 9
b = 4.5 mph (speed of the boat in still water.)
-----
Solve for "c":
b + c = 6
4.5 + c = 6
c = 1.5 mph (speed of the current)
The answer is 1.5 mph

7 0

3 years ago

Please help!!! 10 points!

BigorU [14]

Answer:

I'd say about 45 degrees :)

Step-by-step explanation:

3 0

3 years ago

A cereal company makes a cereal from two ingredients: wheat and oats. Each ingredient provides two essential nutrients: vitamin

Nikitich [7]

Answer:

z (min ) = 0.4167 $

x = 8,33 oz

y = 0

Step-by-step explanation:

Table:

Vitamin A Vitamin B Cost $/oz

Wheat (x) 10.5 2.4 0.05

Oats (y) 6 1.8 0.10

Requirements 48 (mg) 20 (mg)

Requirements 1,693 (oz) 0,7054 (oz)

The problem is minimized z subject to two constraint

z = 0.05*x + 0.1*y to minimize

Subject to:

Requirement of Vitamin A

10.5*x + 6 * y ≥ 48

Requirement of Vitamin B

2.4*x + 1.8*y ≥ 20

x≥0 y≥0

Using the on-line solver AtomZmaths and after 3 iterations the solution is:

z (min ) = 0.4167 $

x = 8,33 oz

y = 0

8 0

3 years ago

Kristen invests $ 5745 in a bank. The bank 6.5% interest compounded monthly. How long must she leave the money in the bank for i

podryga [215]

Answer:

1. 10.7 years

2. 17.0 years

3. 2nd option

Step-by-step explanation:

Use formula for compounded interest

$A=P\cdot \left(1+\dfrac{r}{n}\right)^{nt},$

where

A is final value, P is initial value, r is interest rate (as decimal), n is number of periods and t is number of years.

In your case,

1. P=$5745, A=2P=$11490, n=12 (compounded monthly), r=0.065 (6.5%) and t is unknown. Then

$11490=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12t},\\ \\2=(1.0054)^{12t},\\ \\12t=\log_{1.0054}2,\\ \\t=\dfrac{1}{12}\log_ {1.0054}2\approx 10.7\ years.$

2. P=$5745, A=3P=$17235, n=12 (compounded monthly), r=0.065 (6.5%) and t is unknown. Then

$17235=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12t},$

$3=(1.0054)^{12t},$

$12t=\log_{1.0054}3,$

$t=\dfrac{1}{12}\log_{1.0054}3\approx 17.0\ years.$

3. <u>1 choice:</u> P=$5745, n=12 (compounded monthly), r=0.065 (6.5%), t=5 years and A is unknown. Then

$A=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12\cdot 5},\\ \\A=5745\cdot (1.0054)^{60}\approx \$7936.39.$

<u>2 choice:</u> P=$5745, n=4 (compounded monthly), r=0.0675 (6.75%), t=5 years and A is unknown. Then

$A=5745\cdot \left(1+\dfrac{0.0675}{4}\right)^{4\cdot 5},\\ \\A=5745\cdot (1.0169)^{20}\approx \$8032.58.$

The best will be 2nd option, because $8032.58>$7936.39

5 0

3 years ago

Read 2 more answers

I need help with math work

vichka [17]

1. 3/1

2. Will be positive. Aka always rational.

3. 3/1 + 3/1 = 6/2 = 3/1

6 0

3 years ago