Simplify (x+2) (x+10) - (x-5) (x+4).find the numerical value of this expression when x=-3.​

Answer:

5

Step-by-step explanation:

1/2÷1/10=

1/2x10/1=

10/2=5

Answer:

the answer is 5

Step-by-step explanation:

keep change flip

1/2 x 10 =5

Answer:

-35.2

Step-by-step explanation:

-68.4-(-15.6)= (-52.8)

-52.8÷3=(-17.6)

-52.8-(-17.6)=-35.2

Answer:-35.2

Step-by-step explanation:

Answer:

  1a: f(x) = x³ -6x² +9x -4

  1b: no breaks; the function is defined everywhere

  2a: (-∞, 5]

  2b: y = -3; y = -1

  2c: x → -∞, y → -3; x → ∞, y → -1

Step-by-step explanation:

The factored form of f(x) is ...

  f(x) = (x -4)(x -1)²

  f(x) = (x -4)(x² -2x +1) = x³ -2x² +x -4x² +8x -4

  f(x) = x³ -6x² +9x -4

__

The function h(x) is defined for all values of x to be either f(x) or g(x). The function f(x) is a polynomial function, so has no breaks in its domain. The function g(x) is defined for all values of x, so has no breaks in its domain.

There are no breaks in the domain of h(x).

__

See the attachment for a graph.

  -∞ < y ≤ 5 . . . . range of f(x)

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The asymptote as x → -∞ is the asymptote of the exponential function. The exponential term has an asymptote of y=0, but shifting it down 3 units means the asymptote is 0 -3:

  x → -∞, y → -3 . . . . asymptote is y = -3

The asymptote as x → ∞ is the asymptote of the rational expression. That is the ratio of the leading terms: -x²/x² = -1.

  x → ∞, y → -1 . . . . asymptote is y = -1

__

See part B.

Answer:

9 minutes

Step-by-step explanation:

60=15+5t

45=5t : subtract 15 from both sides

9=t : divide by 5 for both side

Answer:

three hundred twenty one and fifty one hundredths

The rate of change of temperature with time at a point in time is given by

the derivative of the function for the temperature of the soup.

The correct responses are;

Reasons:

a) From the data in the table, we have;

The approximate value of H'(5) is given by the average value of the rate of

change of the temperature with time between points, t = 3, and t = 8

Therefore;

[tex]\displaystyle H'(5) = \mathbf{\frac{H(8) - H(3)}{8 - 3}}[/tex]

Which gives;

[tex]\displaystyle H'(5) = \frac{80 - 67}{8 - 3} = \mathbf{2.6}[/tex]

Therefore, H'(5) = -2.6°C per minute

b) Given that the function is twice differentiable over the interval, 0 ≤ t ≤ 12, the function for the change in temperature is continuous in the interval 0 ≤ t ≤ 12

At t = 0, H(0) = 90 °C

At t = 12, H(12) = 58 °C

Therefore, there exist a temperature, of 60 °C between 90° C and 58 °C

c) The given derivative of C is, [tex]C'(t) = \mathbf{-3.6 \cdot e^{-0.05 \cdot t}}[/tex]

At t = 3, we have;

[tex]The \ slope \ at \ t = 3 \ is \ C'(3) = -3.6 \cdot e^{-0.05 \times 3} \approx -3.1[/tex]

Therefore, we have;

y - 80 ≈ -3.1 × (x - 3)

The equation for the tangent is; y = -3.6 × (x - 3) + 80

y = -3.6·x + 10.8 + 80 = -3.6·x + 90.8

The  value of C(5) is approximately, C(5) ≈ -3.6 × 5 + 90.8 = 72.8

d) Based on the the model above, the rate at which the temperature of the

soup is changing at t = 3 minutes is -3.6 degrees per minute.

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Answer:

There are 132,600 ways are there.

We note that there 52 ways to choose the first card, 51 ways to choose the second card, and 50 ways to choose the third card, for a total of 52*51*50=132,600 ways

Answer:

your grade will be an 76

Step-by-step explanation:

Area = length x width

Area of square = 8 x 8 = 64 square inches

Area of rectangle = 24 x 20 = 480 square inches

Area of rectangle surrounding the square = 480 - 64 = 416 square inches

Answer: 416 square inches

Answer:

I don't know

Step-by-step explanation:

plus all of them = Answer

Answer:

Step-by-step explanation:

False    Line of symmetry is x = -1

False   The maximum of f(x) = 3  

we can find the maximum of f(x) by putting it in vertex form (y - 3) = - 1(x + 7)² which tells us that the vertex is at (-7, 3)

True     -7 < -1

Answer:

71.02

Step-by-step explanation:

x is the number of days

1 week = 7 days

-3.64 (7) + 96.5 = 71.02

Answer:

if you can only pick one it's e

Step-by-step explanation:

Im 90% sure a and c are both true answers while 70% sure that b and d are both true answers so unless someone says otherwise e is your best bet

Answer: x= [tex]-\frac {109}{15}[/tex]

Answer:

Value of x = 3

m∠HEB=27°

Step-by-step explanation:

1) CEH and HEB are complementary angles, therefore both of their angles added together will be 90 degrees

2) Set the two equations added together equal to 90 and solve for x

19x+6+9x=90

28x=84

x=3

3) Plug in x into 9x to get HEB

9(3)=27

Answer:

D

Step-by-step explanation:

5m^3 n^5 (25m^6 n)

-->5m^3*25n^6m^6

-->125m^9 n^6

Answer:3hrs 16min

Step-by-step explanation:

392/120 = 49/15 hours = 3 hours + 4/15 hours = 3 hours + 4/15 x 60 min = 3 hours + 16 min

Answer:

2

Step-by-step explanation:

Leah uses 1/4 cup of chocolate chips for 2/3 cups of batter, so if Leah uses 3/4 cup of chocolate chips, she should use 2 cups of batter.

Answer:

The answer is 63 2/5

Step-by-step explanation:

Converting to mixed numbers divide 317 by 5.

5 goes into 31 at most 6 times and 5 goes into 17 at most 3 times.

The quotient of 317/5 is 63 with remainder of 2, so answer is 63 2/5.

To multiply a fraction, imagine it this way. Start with 1/4. Then if you multiply 1/4 by 2 it would be 1/2.

If you have a quarter, and you times that quarter by 2, you have half a dollar.

It only needs to be simplified if you can simplify the fraction.

Answer:

Ok say your doing 1/4 * 2/4 you move the /4 over to the side and multiply 1 and 2 that would be 2 so then you put the the 2 on top of the /4 and you have 2/4… Now if you have odd numbers like 1/4 * 1/6 you would simplied the 6 and 4 what can go into (divide by the same number) 6 AND 4 both… 2 because so you change the 1/4 and 1/6 to a 1/2 * 1/2 those multiplied together equal 1/2

Step-by-step explanation: pls give brainleist and dont for get to leave a rating and heart

Answer:

Angle 4 also has a measurement of 34 degrees because opposite angles of intersecting lines are congruent. In other words, angles 2 and 4 are congruent, so are angles 1 and 3.

Answer:a

Step-by-step explanation:

Reduced fractions with denominators that are factors of 2 or 5. Therefore, the correct answer is option B.

Terminating decimals are integers with a definite or finite number of digits following the decimal point. Like fractions, decimal numbers are used to represent a portion of a whole. This course will concentrate on the type of decimal numbers known as terminating decimal numbers. The word 'terminate' means to put a stop to something. In decimal terms, it is a number that comes to an end.

Here are a few tips to assist you identify a terminating decimal number.

Therefore, the correct answer is option B.

Learn more about the terminating fraction here:

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Answer:

I'd swap with one on the table (the left one) but with my luck it would be a sword made of rubber

I'll help.

The answer to your question is True!!

Answer:

  10,4%

Step-by-step explanation:

The percentage change is found from ...

  (amount of change)/(original amount) × 100%

  (17,90 -16,22)/(16,22) × 100% = 1,68/16,22 × 100% ≈ 10,358% ≈ 10,4%

The accurate line represented by line b because during such experiment ( osmosis or mass transfer) there would be a time where the system be in equilibrium meaning that that the net movement will be zero. In line B at time starting 15 min equilibrium is reached no further movement is attained beyond it.

Answer:

[tex]x=k\frac\pi2; k\in \mathbb{Z}[/tex]

Step-by-step explanation:

Let's use the formulas that change a sum of two sines into a product:

[tex]sin\ p + sin\ q =2 sin{\frac{p+q}2}cos{\frac{p-q}2}[/tex]

[tex]sin 3x+sinx =2sin \frac{3x+x}2 cos \frac{3x-x}2 = 2(sin2x)(cosx)=0[/tex]

At this point it's either [tex]sin 2x =0 \implies 2x= k\pi \rightarrow x = k\frac{\pi}2[/tex]

or [tex]cosx=0 \rightarrow x=\frac\pi2+ k\pi = (2k+1)\frac\pi2[/tex]

with the usual condition of [tex]k\in \mathbb{Z}[/tex].

Now if you look at both sets of solutions, first one considers all multiples of [tex]\frac\pi2[/tex], while the second only the odd multiples. it means that the first includes the second.

Answer:

Step-by-step explanation:

(x + 200)20 = 200(10) + x(40)

20x + 4000 = 2000 + 40x

2000 = 20x

X = 100 mL