Evaluate the given expression at x= -4
-3x + 2x^2 + 2

Answer:

18= 4+ x

Step-by-step explanation:

Answer:

35&37

Step-by-step explanation:

Well 18% of 200 is 36 so...

Answer:

7

Step-by-step explanation:

11 members and we have to pick three without replacement.

[tex]_{11} C_{3}[/tex] = 165

There are 165 possible sets of officers

Answer:

If so then this table is linear

Step-by-step explanation:

when looking at a table, to check if it is linear, simply look at the x values and if there are any duplicates then ur answer would not be linear. but for this table their are no duplicate x values so it is linear

Answer:

A and C if this was ABCDE

Step-by-step explanation:

150 times 3 plus 22 would equal 450 plus 22 which is 472,

265 times three is 795 plus 22 is 817,

for the BDE, 175 times 3 is 525 plus 22 is 547, 300 times 3 is 900 plus 22 is 922, and 345 times 3 is 1035 plus 22 is 1057

9514 1404 393

Answer:

  (k -6)

Step-by-step explanation:

The given quadratic is a perfect square, so has one repeated binomial factor:

  k^2 -12k +36 = (k -6)^2

Answer:

120 cubic feet

Step-by-step explanation:

The formula for volume = length x width x height. Therefore, in order to get the volume you multiply 5 , 8 and 3, and when you multiply all three you get 120 inches cubic feet.

Answer:

(a) The unit circle is centered at (0,0) with a radius of 1.

(b) The equation of a circle of radius r, with a center located at (0,0):

x²+ y² = r².

(c) (i) P(1,0)

    (ii) P(0,1)

    (iii) P(-1,0)

    (iv) P(0,-1)

Step-by-step explanation:

Part (a)

The unit circle is centered at (0,0). This point is the origin.

The radius of the unit circle is 1

The term "unit" means "one", which describes the radius length.

=========================================================

Part (b)

The equation of the unit circle is x^2+y^2 = 1

The general equation of any circle is (x-h)^2+(y-k)^2 = r^2

In this case, the unit circle has center (h,k) = (0,0) and radius r = 1.

=========================================================

Part (c)

The following four points are on the unit circle

As shown below in the diagram. The idea is to plug each given coordinate into the equation from part (b), and solve for the missing variable.

For example, if we know x = 1, then...

x^2+y^2 = 1

1^2+y^2 = 1

1+y^2 = 1

y^2 = 1-1

y^2 = 0

y = sqrt(0)

y = 0

Meaning x = 1 leads to y = 0. So (x,y) = (1,0) is one point on the circle. The other parts are handled in a similar fashion.

Answer:

54

Step-by-step explanation:

multiply 9 and 7 which is 63. then multiply 63 by 150 which is 9,450. then multiply 25 and 7 which is 175. then divide 175 and 9,450. and the answer is 54. Yw!!

We need to write and solve an algebraic equation to find the final company's balance.

The answer is: The final balance is -$275.

Let's see how to get that.

First, we know that the company earns $150 per week for 9 weeks, then the total amount of money that the company earns in these 9 weeks is:

$150*9 = $1,350

Then the company losses $65 per week for 25 weeks, then the amount that the company losses is:

$65*25 = $1,625

The final balance will be the difference between what the company earned and what the company lost, then the final balance is:

balance = $1,350 - $1,625 = -$275

This means that the company's final balance is -$275.

If you want to learn more, you can read:

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Answer:

A 0.83

Step-by-step explanation:

2 Hrs = 120 Minutes

100 : 120 = 0.83 minutes per questions

Kenya must complete 0.83 questions per minute in order to finish the test in two hours.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, Kenya has 2 hours to work on a 100 problem math test.

We know, 2 hours is equal to 120 minutes.

Therefore, The rate per minute at which she must complete one question in order to complete it in two hours is,

= (100/120).

= 0.83.

learn more about the unitary method here :

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Answer:

See below

Step-by-step explanation:

Solving inequality:

3 of provided answers are correct:

If given correct, any combination of two can be shown as answer:

Answer:

-12 and -9

Step-by-step explanation:

I just answered the problem on a quiz

Answer:

0.0038

Step-by-step explanation:

The thousands spot is four away from the decimal so you would put the eight right there, the three in front of it, and fill in the other spots with zeros.

Answer:

646.0 and 0.1 but you might have to keep the second one the same .125

Step-by-step explanation:

The nearest tenth is the number behind the decimal, and the number in the hundredths place is what you use to see if where to round it. If it is 4 or less keep it the same it it is 4-9 change is up by one.

EX: 1.58  you would round it to 1.6 because the number in the hundredths place is bigger than 4 so you up the number in the tenths place one.

The product of 645.99 and 0.125 would be 80.7 which is rounded to the nearest tenth.

The decimal point is followed by the number that is closest to the tenth, and the hundredth place number is used to determine whether or not to round the number. If it is four or fewer, leave it alone; if it is four to nine, move it up one.

We have to determine the product of 645.99 and 0.125

⇒ 645.99 × 0.125

⇒ 80.74875

Rounded to the nearest tenth, we get

⇒ 80.7

You would diminish the number in the tenth place by one because the number in the hundredth place is less than 5, thus you would round it to 80.7.

Therefore, the product of 645.99 and 0.125 would be 80.7 which is rounded to the nearest tenth.

Learn more about the round to the nearest tenth of a number here:

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Answer:

yeah i understand that

Step-by-step explanation:

holiiiiiiiiiiii

Step-by-step explanation:

Answer: 14,000

...............................

Answer:

Step-by-step explanation:

round 13,899 to the nearest thousands which would be

14,000

Answer:

length of the rectangle=27"

Step-by-step explanation:

length be = l; width be = b

2b-15= l

perimeter= 2(l+b)

=2(2b-15+b)=96

=2(3b-15)  =96

3b-15 .=48

3b=48+15=63

b=21. Therefore l = (2 x 21)  - 15=42-15  =27"

Answer:

a

The  student does have enough evidence to refute the college claim

b

The null hypothesis is [tex]H_o : \mu \le 32[/tex]

The alternative hypothesis is [tex]H_a : \mu > 32[/tex]

Step-by-step explanation:

From the question we are told that

The average class size is [tex]\mu = 32[/tex]

The sample size is [tex]n = 40[/tex]

The sample mean is [tex]\= x = 34.8[/tex]

The standard deviation is [tex]\siigma = 99[/tex]

The significance level is [tex]\alpha = 0.10[/tex]

The null hypothesis is [tex]H_o : \mu \le 32[/tex]

The alternative hypothesis is [tex]H_a : \mu > 32[/tex]

Generally the test statistics is mathematically represented as

[tex]z =\frac{\= x - \mu}{ \frac{\sigma }{\sqrt{n} } }[/tex]

=> [tex]z = \frac{34.8 - 32}{ \frac{99 }{\sqrt{99} } }[/tex]

=> [tex]z = 0.1789 [/tex]

Generally the p-value is mathematically represented as

[tex]p- value = P (Z > 0.1789)[/tex]

From the z- table

[tex] P (Z > 0.1789) =0.42901 [/tex]

So

[tex]p- value = 0.42901 [/tex]

So from the calculation we can see that [tex]p- value > \alpha[/tex] so we fail to reject the null hypothesis

This means that the student does not have enough evidence to refute the college claim

Answer:

The simultaneous inequation representing the recomended storage temperature is:

[tex]50\,^{\circ}F \leq T \leq 55.4\,^{\circ}F[/tex]

Step-by-step explanation:

In this case, the statement must be represented mathematically by a simultaneous inequation, in which temperature must be equal to or greater than 10 ºC, expressed in Fahreheit degrees, and equal or less than 13 ºC, expressed in Fahrenheit degrees.

Bounds can be converted into Fahrenheit degrees from Celsius degrees:

[tex]T_{F} = \frac{9}{5} \cdot T_{C}+32\,^{\circ}F[/tex] (Eq. 1)

Where:

[tex]T_{C}[/tex] - Temperature, measured in Celsius degrees.

[tex]T_{F}[/tex] - Temperature, measured in Fahrenheit degrees.

Lower bound ([tex]T_{C} = 10\,^{\circ}C[/tex])

[tex]T_{F} = \frac{9}{5}\cdot (10\,^{\circ}C) + 32\,^{\circ}F[/tex]

[tex]T_{F} = 50\,^{\circ}F[/tex]

Upper bound ([tex]T_{C} = 13\,^{\circ}C[/tex])

[tex]T_{F} = \frac{9}{5}\cdot (13\,^{\circ}C) + 32\,^{\circ}F[/tex]

[tex]T_{F} = 55.4\,^{\circ}F[/tex]

The simultaneous inequation representing the recomended storage temperature is:

[tex]50\,^{\circ}F \leq T \leq 55.4\,^{\circ}F[/tex]

Answer:

so I am not sure what fiction you are talking about but in order to solve you would substitute 0 in for x in the function. this would represent the y intercept.

Answer:

- 8

Step-by-step explanation:

Step 1:

12x ÷ 4y         Equation

Step 2:

12 ( - 8 ) ÷ 4 ( 3 )     Input x and y

Step 3:

- 96 ÷ 12      Multiply

Answer:

- 8      Divide

Hope This Helps :)

Answer:

−s2+2st−t2−s+t

Step-by-step explanation:

−(s−t)−(s−t)2  

distributed would be

−s+t+−s2+2st+−t2

Answer:

Below in bold.

Step-by-step explanation:

-(s - t) - (s - t)^2       Take out  (s - t):

= (s - t)( -1 - (s - t)

= (s - t)(t - s - 1). <----  Factored form.

Or, if you want to  expand the expression:

-(s - t) - (s - t)^2

= - s + t - (s^2 - 2st + t^2)

= -s^2 + 2st - t^2 - s + t.

Answer:

I would assume {0, 2, 3, 5}

Step-by-step explanation:

I would assume that answer because all three are given in the range of the given data set.

Answer:

The answer is [0] (D)

Step-by-step explanation:

Given the fact that the Range is Y value, we see 0,0,0,0

So its 0

$128

Step-by-step explanation:

you can literally just look it up ya know?

Answer:

1,5,25,125,

all can be added or multiplied to equal 125