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3 years ago

What is the answer to this how to work it

Mathematics

1 answer:

Anna007 [38]3 years ago

7 0

9514 1404 393

Answer:

(A) -7

Step-by-step explanation:

The function is continuous if you can draw its graph without lifting your pencil. In this case, that means each of the piecewise function definitions must have the same value at x=3.

x^2 +2 = 6x +k . . . . . must be true at x=3

3^2 +2 = 6(3) +k . . . . substitute 3 for x

9 +2 -18 = k . . . . . . . . subtract 18

k = -7 . . . . . . . simplify

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How can you find discount and markup

melamori03 [73]

By using different math operations

5 0

3 years ago

Write the slope-intercept form of the equation of each line given the slope and y-intercept.

saul85 [17]

Answer:

4b. −6x + y = −4

4a. 7x + 4y = −12

3b. y = ½x + 3

3a. y = −6x + 5

2b. y + 2 = −⅔(x + 3)

2a. y - 3 = ⅘(x - 5)

1b. y = -x + 5

1a. y = 5x - 3

Step-by-step explanation:

Plug the coordinates into the Slope-Intercept Formula first, then convert to Standard Form [Ax + By = C]:

2 = 6[1] + b

−4 = b

y = 6x - 4

-6x - 6x

_________

−6x + y = −4 >> Standard Equation

4 = −7⁄4[-4] + b

−3 = b

y = −7⁄4x - 3

+7⁄4x +7⁄4x

____________

7⁄4x + y = −3 [We do not want fractions in our Standard Equation, so multiply by the denominator to get rid of it.]

4[7⁄4x + y = −3]

7x + 4y = −12 >> Standard Equation

__________________________________________________________

Plug both coordinates into the Slope-Intercept Formula:

5 = ½[4] + b

3 = b

y = ½x + 3 >> EXACT SAME EQUATION

−1 = −6[1] + b

−6

5 = b

y = −6x + 5

* Parallel lines have SIMILAR RATE OF CHANGES [SLOPES].

__________________________________________________________

b. y + 2 = −⅔(x + 3)

a. y - 3 = ⅘(x - 5)

According to the Point-Slope Formula, y - y₁ = m(x - x₁), all the negative symbols give the OPPOSITE TERMS OF WHAT THEY REALLY ARE, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT SIGNS.

__________________________________________________________

b. y = -x + 5

a. y = 5x - 3

Just write out the Slope-Intercept Formula as it is given to you.

I am joyous to assist you anytime.

3 0

3 years ago

The population in thousands of people of a city is approximated by the function P(t) = 1200(2)0.1038twhere t is the number of ye

asambeis [7]

The population of the group in 2019 is 2,134,000 people

Let P represent the population in thousands of people in the year t after 2011

Given the equation:

$P=1200(2)^{0.1038t}$

a) The population of the group in 2019, that is t = 8(2019 - 2011):

$P=1200(2)^{0.1038*8}=2134$

b) The population of the group in 2029, that is t = 18(2029 - 2011):

$P=1200(2)^{0.1038*18}=4382$

The population of the group in 2019 is 2,134,000 people

Find out more on equation at: brainly.com/question/2972832

7 0

3 years ago

Eddie is going to flip a coin and spin a spinner. The coin has a heads and a tails. The spinner has three equal parts that are y

navik [9.2K]

Answer:

C. 1/5

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Standard deviation 12,16,22,23,34,44,46,47,48,64,67,73,83,89, round to nearest tenth

RideAnS [48]

Answer: 23.9

Step-by-step explanation:

1. First, you must calculate the mean, as following:

$\frac{12+16+22+23+34+44+46+47+48+64+67+73+83+89}{14}=47.71$

2. Now, you should substract the means obtained to every single number of the set and then square it. Add all of them:

$(12-47.71)^{2}+(16-47.71)^{2}+(22-47.71)^{2}+(23-47.71)^{2}+(34-47.71)^{2}+(44-47.71)^{2}+(46-47.71)^{2}+(47-47.71)^{2}+(48-47.71)^{2}+(64-47.71)^{2}+(67-47.71)^{2}+(73-47.71)^{2}+(83-47.71)^{2}+(89-47.71)^{2}=7984.86$

3. The mean of this is:

$\frac{7984.8574}{14}=570.35$

4. The square root of this result is:

$\sqrt{2.52}=23.88$

5. To the nearest tenth, the result is: 23.9

5 0

3 years ago