Graph the inequality
y < -x^2 +4x -6

Answer:

55cd

Step-by-step explanation:

Step-by-step explanation:

Given

x = 3 , y = 4

= 3 * 4 - 2 * 3

= 12 - 6

= 6

Hope it will help :)

Step-by-step explanation:

Here's the answer. Hope it will help you

Answer:

(2v + 1)(t - 5)

Step-by-step explanation:

The first two terms of 2tv+t-10v-5 factor into t(2v + 1); the last two terms factor into -5(2v + 1).  Thus, (2v + 1) is a factor of 2tv+t-10v-5:

2tv+t-10v-5  = (2v + 1)(t - 5)

The required factors of 2tv+t-10v-5 to make k are (2v + 1) and (t -5).

Given that,
To factorize 2tv+t-10v-5 and make the k the subject.

Factors can be defined by splitting the value into multipliable values.

The process in mathematics to operate and interpret the function or expression to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here, according to the question to make k we have to factorize the  2tv+t-10v-5. So,

k = 2tv + t - 10v - 5
k = t( 2v + 1 ) - 5( 2v + 1 )
k = ( 2v + 1 ) ( t - 5 )

Thus, the required factors of 2tv+t-10v-5 to make k are (2v + 1) and (t -5).

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Answer:

15/4 or 3.75

Step-by-step explanation:

Answer:

15/4

Step-by-step explanation:

4x3=12

12+3=15

Answer:

Step-by-step explanation:

9 = 3 × 3

12n = 2 × 2 ×3 × n

Greatest common factor = 3

9+12n = 3×3 +3×4n = 3(3+4n)

Answer:

6/35 is the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

ΔABC

ΔDBC

∠BDC ≅ ∠DBC ⇒ y = 45°

-------------------------------------------

ΔMPN is right isosceles triangle ⇒ MN = PN√2 = 14√2

ΔMKP is right isosceles triangle ⇒ MK = KP

Answer:

To obtain $ 100 in simple interest with a rate of 1.5%, Katie must deposit $ 6,666.66.

Step-by-step explanation:

Given that Katie wants to know how much she needs to deposit into a two year CD account in order to earn $ 100 in simple interest, knowing that the account currently has a 1.5% interest rate, the following calculation must be performed:

X x 0.015 = 100

X = 100 / 0.015

X = 6,666.66

6,666.66 x 1.015 = 6,766.66

Thus, to obtain $ 100 in simple interest with a rate of 1.5%, Katie must deposit $ 6,666.66.

Answer:

Total proportion of samples that break during shipment [tex]1.42[/tex] %

Step-by-step explanation:

Let the total number of glasses shipped is equal to [tex]100[/tex]

[tex]58[/tex] % of the glasses are shipped in large packets [tex]\frac{58}{100}*100 = 58[/tex]

[tex]42[/tex] % of the glasses are shipped in small packets [tex]\frac{42}{100}*100 = 42[/tex]

Number of broken glasses in small package [tex]= \frac{2}{100} * 42 = 0.84[/tex]

Number of broken glasses in large package [tex]= \frac{1}{100} * 58 = 0.58[/tex]

Total proportion of samples that break during shipment

[tex]\frac{0.84 + 0.58}{100} *100 = 1.42[/tex] %

Answer: the answer is c

Step-by-step explanation:

Answer:

c (The number of visits to a website doubles every 24 hours.)

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

Answer:

756

Step-by-step explanation:

21% of 1200 is 252

252 x 3 = 756

Well since 27% in decimal form is .27, that mean .48 is greater.

27% < 0.48

Answer:

y = -3

Step-by-step explanation:

Parallel to the x axis means that it is a horizontal line

Horizontal lines are in the form

y =

We know the y coordinate of the point is -3

y = -3

Answer:

The circumference of the circle is 176cm

Step-by-step explanation:

Step 1.

Figure out how many of those segments would fit in a whole circle

360/45=8

Step 2.

We know that the length of AB is 22cm so we multiply that by the number of segments in a whole circle

22×8=176

Answer:

Step-by-step explanation:

Start with h(t) = -16t^2 + initial height, which here is h(t) = -16t^2 + 1296.  Set this = to zero, which corresponds to the object hitting the ground (h = 0):

0 = -16t^2 + 1296.  Dividing all terms by -16, we get t^2 = 81, whose positive square root is 9.  It takes 9 seconds for the object to hit the ground.

Answer:

Step-by-step explanation:

The required expression represents the number of the small marbles, medium marbles, and large marbles are m = 4s  and l = 3 + 5m.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
Let the number of small marbles be s, medium marbles are m and large marble is l.
According to the question,
He has four times as many small marbles as medium marbles. The number of large marbles is three more than five times the number of medium marbles.
m = 4s
and
l = 3 + 5m

Thus, the required expression represents the number of the small marbles, medium marbles, and large marbles are m = 4s  and l = 3 + 5m.

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Answer:

B. y = x + 6

Step-by-step explanation:

Graph.

Answer:

b is the correct answer

Answer:

The amount of 12% note is $90,000

The amount of 9% note is $80,000

Step-by-step explanation:

Missing word "The amount of the 12% note is $ and the amount of the 9% note is $"

Selling price = $170,000

Let x be the amount of money paid short term, therefore the amount of money paid long term is (170000 - x)

Given total annual interest = $18,000

Total annual interest = Interest due to short term (x) + interest due to long term (170000 - x)

18,000 = 0.12x + 0.09*(170000 - x)

18,000 = 0.12x + 15,300 - 0.09x

18,000 = 0.03x + 15,300

0.03x = 18,000 - 15,300

0.03x = 2,700

x = 2,700/0.03

x = 90,000

So, the amount of 12% note is $90,000

So long term paid money = $170,000 - $90,000 = $80,000

So, the amount of 9% note is $80,000

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Step-by-step explanation:

Answer:

I think the correct answer is 112.5

Step-by-step explanation:

Answer:

5250.96

Step-by-step explanation:

The 4.4% interest rate compounded quarterly means that you get 4.4%/4 four times a year.  Over 8 years, that is 32 times.  Since we use decimals, not percentages, we get

[tex]3700(1+0.044/4)^(4*8)=5250.96[/tex]

Answer:

(8, -1)

Step-by-step explanation:

the solution is where they intersect. (x, y) and x is 8 while y is -1

Answer:

3/4             5/7             5/4

32/33        20/21          27/13

1/2             16/25          9/14

16/49         3/2             13/15

should be the answers

Step-by-step explanation:

About 68%

Given : The mean speed of a sample of vehicles along a stretch of highway is 66 miles per​ hour, with a standard deviation of 4 miles per hour.

i.e.  

We assume the data set has a​ bell-shaped distribution (i.e. Normal distribution).

To find :  The percent of vehicles whose speeds are between 62 miles per hour and 70 miles per hour.

i.e . The percent of vehicles whose speeds are between  miles per hour and  miles per hour.

i.e . The percent of vehicles whose speeds are between  miles per hour and  miles per hour.

i.e. i.e . The percent of vehicles whose speeds are within one standard deviation from the mean.

According to the Empirical rule , about 68% of the population lies within one standard deviation of the mean.

It means , about 68% of vehicles lies within one standard deviation of the mean.

i.e . About 68% of vehicles whose speeds are between  miles per hour and  miles per hour.

i.e .  About 68% of vehicles whose speeds are between  miles per hour and  miles per hour.

⇒ About 68% of vehicles whose speeds are between 62 miles per hour and 70 miles per hour.