MATHEMATICS HIGH SCHOOL

What is the domain of the following parabola? u-shaped graph that opens down with a vertex of 2, 3


x ≥ 2
x ≤ −1
y ≤ 3

Answers

Answer 1
Answer:

First we have to understand what the domain is. In a nutshell the domain is the set of all x values that are represented in any given graph. In this case we do not have a graph but we have the vertex. The x value is 2, therefore: x ≥ 2.


I hope this helps, Regards.

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What’s the exact radius of a circle with the circumference of 42 meters

Answers

Answer:

Do you want the answer in the form of pi? Or just the decimal itself?

Step-by-step explanation:

Find the next three terms of the sequence –8, 24, –72, 216, . . .A 648, –1944, 5832
B 248, –616, 248
C 216, –648, 1944
D –648, 1944, –5832

Answers

Answer: D –648, 1944, –5832


Step-by-step explanation:

Given sequence: –8, 24, –72, 216, . . .

Here we can see that the next term is -3 times the previous term.

Such that a_n=-3a_(n-1)

therefore, the term after 216= a_5=-3a_4=-3*216=-648

Then term after -648 =a_6=-3*-648=1944

Term after 1944=  a_7=-3*1944=-5832

Thus, D is the right answer. The next three terms of the sequence are –648, 1944, –5832
D –648, 1944, –5832
throught one, multiply by 9

A right triangular prism has a height of 26 cm and base edges of 10 cm, 24 cm, and 26 cm. What is the lateral area of the prism? A.1560 cm2
B.1680 cm2
C.800 cm2
D.3120 cm2

Answers

The lateral area is 1560 cm².

The lateral area is the area of the lateral faces (the faces that are not bases).  The dimensions of these are:
24 by 26
10 by 26
26 by 26

These are all rectangles.  The area of each rectangle is given by length * width:
24*26 = 624
10*26 = 260
26*26 =676

624+260+676=1560

Simplify 3(x-4)+8(x+2)

Answers

3(x - 4) + 8(x + 2)

3*x - 3*4 + 8*x + 8*2

3x - 12 + 8x + 16

3x + 8x - 12 + 16

11x + 16 - 12

11x + 4
The answer is this 11x+4

Ashley invests $9,720 in a one-month money market account paying 3.16% simple annual interest and $8,140 in a two-year CD yielding 3.23% simple annual interest. Assuming Ashley does not reinvest or renew these investments, how much money will she have when both investments reach maturity, to the nearest dollar?a.
$550
b.
$1,080
c.
$17,310
d.
$18,411

Answers

Answer:

Total Amount ≈ $18,411.59

D.

Step-by-step explanation:

In order to determine the total amount that Ashley will possess when both investments reach maturity, one may utilize the formula for simple interest:

Simple Interest (I) = P * r * t

Where:

I = Interest earned

P = Principal amount (initial investment)

r = Annual interest rate (expressed as a decimal)

t = Time (in years)

The interest for each investment may be calculated as follows:

For the one-month money market account:

P1 = $9,720

r1 = 3.16% or 0.0316 (as a decimal)

t1 = 1/12 year (one month is 1/12 of a year)

I1 = 9,720 * 0.0316 * (1/12) = $25.63 (rounded to the nearest cent)

For the two-year CD:

P2 = $8,140

r2 = 3.23% or 0.0323 (as a decimal)

t2 = 2 years

I2 = 8,140 * 0.0323 * 2 = $524.96

The total amount that Ashley will possess when both investments reach maturity may now be calculated as follows:

Total Amount = P1 + I1 + P2 + I2

Total Amount = $9,720 + $25.63 + $8,140 + $524.96

Total Amount ≈ $18,411.59

Rounded to the nearest dollar, Ashley will possess approximately $18,412 when both investments reach maturity.

95g + 1.4kg + 3.5kg + 0.6kg + 8580g

Answers

the answer equals 14,175 Grams
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