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omeli [17]
3 years ago
6

(6x² + 0x² - 8x+5) \ (2x - 4)

Mathematics
1 answer:
Bad White [126]3 years ago
5 0

Answer:

Step-by-step explanation:

=

12

x

3

−

40

x

2

+

42

x

−

20 Is your answer

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Find the measure of ZDCF. C F mDF = 49 G E MEG = 127 Find the measure of angle DCF​
AleksandrR [38]

Answer:

Step-by-step explanation:

Comment

If two secants intersect outside a circle (as these two do) then the angle at which they meet is 1/2 the difference between the intersected arcs. Put much simpler <DCF = 1/2 (arc EG - arc DF)

Givens

Arc EG = 127

Arc DF = 49

Solution

<DCF = 1/2(127 - 49)

<DCF = 1/2(78)

<DCF = 39

8 0
2 years ago
A class of 24 students is planning a field trip to a science museum. A nonrefundable deposit of $50 is required for the day-long
GaryK [48]
Can I see the graphs ?
3 0
3 years ago
Read 2 more answers
The Johnson twins were born nine years after their older sister. This year, the product of the three siblings ages is exactly 18
KATRIN_1 [288]

Answer: The age of the twins is 10 years.

Step-by-step explanation:

Suppose the age of older sister be x

Let the age of twins sister be x-9, as they are born after 9 years.

Product of their ages be

x(x-9)(x-9)\\\\=x(x^2-18x+81)\\\\=x^3-18x^2+81x

Sum of their ages will be

x+x-9+x-9\\\\=3x-18

According to question,

1861+3x-18=x^3-18x^2+81x\\\\x^3-18x^2+81x-3x+18-1861=0\\\\x^3-18x^2+78x-1843=0\\\\x=19

So, Age of older sister will be 19 years.

Age of the twins will be

19-9=10\ years

Hence, the age of the twins is 10 years.

3 0
3 years ago
Questions are in the picture
gtnhenbr [62]

The closest point is (3.5, 1.9) and the distance is 1.96 units

<h3>How to determine the point and the distance?</h3>

The coordinate is given as:

(4, 0)

The equation of the function is

y = √x

The distance between two points is calculated using

d = √(x2 - x1)^2 + (y2 - y1)^2

So, we have the following points

(x1, y1) = (4, 0) and (x2, y2) = (x, 0)

This gives

d = √(x - 4)^2 + (√x - 0)^2

Evaluate the difference

d = √(x - 4)^2 + (√x)^2

Evaluate the exponent

d = √x^2 - 8x + 16 + x

Evaluate the like terms

d = √x^2 - 7x + 16

Next, we differentiate using a graphing calculator

d' = (2x - 7)/[2√(x^2 - 7x + 16)]

Set to 0

(2x - 7)/[2√(x^2 - 7x + 16)] = 0

Cross multiply

2x - 7 = 0

Add 7 to both sides

2x = 7

Divide by 2

x = 3.5

So, we have:

Substitute x = 3.5 in y = √x

y = √3.5

Evaluate

y = 1.9

So, the point is (3.5, 1.9)

The distance is then calculated as:

d = √(x2 - x1)^2 + (y2 - y1)^2

This gives

d = √(3.5 - 4)^2 + (1.9 - 0)^2

Evaluate

d = 1.96

Hence, the closest point is (3.5, 1.9) and the distance is 1.96 units

Read more about distance at:

brainly.com/question/23848540

#SPJ1

3 0
2 years ago
You have a goal of saving to build up a nest egg of $625,357.24, and you are going to make regular deposits to an account that p
Delvig [45]

The monthly deposit required to save up to $625,357.24 (future value) in 40 years at a 7.2% APR is <u>$225.20</u>.

<h3>What is the monthly deposit?</h3>

The monthly deposits are the periodic savings that the investor must make to achieve future value.

The monthly deposit is compounded at the monthly annual percentage rate (APR).

We can compute the required monthly deposits using an online finance calculator as follows:

N (# of periods) = 480 months (40 years x 12)

I/Y (Interest per year) = 7.2%

PV (Present Value) = $0

FV (Future Value) = $625,357.24

<u>Results</u>:

Monthly Deposits (PMT) = $225.20

Sum of all periodic payments = $108,096 ($225.20 x 480)

Total Interest = $517,261.24

Thus, to save $625,357.24 in 40 years, you need to deposit <u>$225.20</u> monthly.

Learn more about periodic deposits (payments) at brainly.com/question/13031679

#SPJ1

6 0
1 year ago
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