An angle measures 157.2° more than the measure of its supplementary angle. What is the measure of each angle?

First, look for the zeroes of the integrand in the interval [0, 6] :

x² - 6x + 8 = (x - 4) (x - 2) = 0   ⇒   x = 2   and   x = 4

Next, split up [0, 6] into sub-intervals starting at the zeroes we found. Then check the sign of x² - 6x + 8 for some test points in each sub-interval.

• For x in (0, 2), take x = 1. Then

x² - 6x + 8 = 1² - 6•1 + 8 = 3 > 0

so x² - 6x + 8 > 0 over this sub-interval.

• For x in (2, 4), take x = 3. Then

x² - 6x + 8 = 3² - 6•3 + 8 = -1 < 0

so x² - 6x + 8 < 0 over this sub-interval.

• For x in (4, 6), take x = 5. Then

x² - 6x + 8 = 5² - 6•5 + 8 = 3 > 0

so x² - 6x + 8 > 0 over this sub-interval.

Next, recall the definition of absolute value:

[tex]|x| = \begin{cases}x & \text{for }x \ge0 \\ -x & \text{for }x < 0\end{cases}[/tex]

Then from our previous analysis, this definition tells us that

[tex]|x^2 - 6x + 8| = \begin{cases}x^2 - 6x + 8 & \text{for }0<x<2 \text{ or } 4<x<6 \\ - (x^2-6x+8) & \text{for }2<x<4\end{cases}[/tex]

So, in the integral, we have

[tex]\displaystyle \int_0^6 |x^2-6x+8| \, dx = \left\{\int_0^2 - \int_2^4 + \int_4^6\right\} (x^2 - 6x + 8) \, dx[/tex]

Then

[tex]\displaystyle \int_0^2 (x^2 - 6x + 8) \, dx = \left(\frac13 x^3 - 3x^2 + 8x\right) \bigg|_0^2 = \frac{20}3 - 0 = \frac{20}3[/tex]

[tex]\displaystyle \int_2^4 (x^2 - 6x + 8) \, dx = \left(\frac13 x^3 - 3x^2 + 8x\right) \bigg|_2^4 = \frac{16}3 - \frac{20}3 = -\frac43[/tex]

[tex]\displaystyle \int_4^6 (x^2 - 6x + 8) \, dx = \left(\frac13 x^3 - 3x^2 + 8x\right) \bigg|_4^6 = 12 - \frac{16}3 = \frac{20}3[/tex]

and the overall integral would be

20/3 - (-4/3) + 20/3 = 44/3

Step-by-step explanation:

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

Answer:

x-intercept: 4

y-intercept: -4

Step-by-step explanation:

Hope this helps. Plz give brainliest! Also, plz sub to kgirl633 on yt!

a) Evaluate the given function at each value of x. We have f(x) = 2x + 3.

• If x = -2, then

f(-2) = 2 (-2) + 3 = -4 + 3 = -1

• If x = -1, then

f(-1) = 2 (-1) + 3 = -2 + 3 = 1

• If x = 0, then

f(0) = 2 (0) + 3 = 0 + 3 = 3

and so on.

b) Kind of a silly question. Of course f(x) is a function, the instructions for part (a) say so!

But the real reason f(x) is indeed a function is that no single value of x returns more than one value of f(x).

Answer:

Solve what?

Step-by-step explanation:

You didn't put the question.

Answer:

Negative

Step-by-step explanation:

Lets assume that B is 0.8 and C is -1.8.

0.8/-1.8 is approx. -0.44 which is a negative

The missing reason for step 2 is the application of the slope formula option (C) application of the slope formula is correct.

It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.

The distance formula can be given as:

[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

As we know,

Lines that intersect at a right angle are named perpendicular lines. Lines that are always the same distance apart from each other are known as parallel lines.

From the graph of two parallel lines:

r ║ s

The slope is the ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Thus, the missing reason for step 2 is the application of the slope formula option (C) application of the slope formula is correct.

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Answer:

product one; it has a higher success rate

Step-by-step explanation:

to find out which has a higher rate of success we can find out their percentage of success

we can divide their success amounts by test amounts

950 / 1000 = 95/100 = 95%

150/200 = 75/100 = 75%

product 1 has a higher success rate

The product is more likely to last is mathematically given as

Product 1

Question Parameter(s):

Product 1 had 950 out of 1,000 test

Product 2 had 150 out of 200 test

Generally, the equation for the  percentage success  is mathematically given as

Product 1  950 / 1000 = 95/100 x 100 = 95%

Product 2  150/200 = 75/100 x 100 = 75%

In conclusion, the product is more likely to last is

Product 1

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Answer:

1675

Step-by-step explanation:

do people not have calculators?

Answer:

if its before bed time I think it is A

Step-by-step explanation:

Answer:

300kms

Step-by-step explanation:

900÷300 is 300. so then i think it would be 300kms

Step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3

Answer:

what the

Step-by-step explanation:

Answer:

It would be 1 whole

Step-by-step explanation:

1/2 - 1/2 is 0 the only thing left is one whole

Answer:

y € R i guess

Step-by-step explanation:

I hope it correct

Answer:

  (c)  y^2/16 -(x -7)^2/9 = 1

Step-by-step explanation:

The center, focus, and vertex are on a vertical line, so the hyperbola opens in the direction of the y-axis. The y-term will have the positive coefficient.

The vertex-center distance in the y-direction is 4, so the denominator of the y-term is 4^2 = 16. The denominator of the x-term is 5^2 -16 = 9, where 5 is the center-focus distance.

The equation is ...

  y^2/16 -(x -7)^2/9 = 1

Answer:

I'm not 100% sure but I believe the answer is A

The total hours of work done by Laura is 39 hours.

A collection of numbers and operations is an expression in mathematics. The following are the parts of a math expression that do a math operation:

Operands: Operands are the numbers that an operator uses. The terms that are given to the operands vary according to the kind of operation.

Given the hourly income Laura = $14.50

total hours she works in a week = 40

increase in rate after working after 10 hours is 1.5 times

the hourly rate after 10 hours = 14.50 x 1.5 = $21.75

amount earned in 10 hours = 10 x 14.5 = $145

total earning = $775.75

the amount left after reducing the amount of 10 hours = 775.75 - 145 = $630.75

$630.75 is earned in = 630.75/21.75 hours = 29 hours

total hours Laura worked = 10 + 29 = 39 hours.

Hence Laura worked 39 hours in a week.

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Answer:

-1

Step-by-step explanation:

Answer:

Profit of $110

Step-by-step explanation:

$710-$600=$110

Answer:

19 dollars.

Step-by-step explanation:

0.20 x $95.00=$19.00.

Similar triangles may or may not have congruent sides, but the ratio of the corresponding sides will always be congruent.

(3) Corresponding sides of △MNP and △RST

Given that △MNP ∼△RST.

This means that, the corresponding sides are:

(4) The equal measures

Given that △ABC ∼△TUV

This means that, the corresponding angles are equal, but corresponding sides are not.

So, the equal measures are:

The unequal measure is:

(c) Scale mapping

The scale mapping is given as:

[tex]Ratio = 1\ in : 100\ mi[/tex]

The above scale means that 1 inches on the scale represents 100 miles of the actual distance.

Take for instance, 5 inches would represent 500 miles.

500 is 5 times 100

Hence, the actual distance between two towns 100 times the map distance between the two towns

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[tex]\dfrac 25(d-10) - \dfrac 23(d+6)\\\\\\=2 \left(\dfrac{d-10}5 - \dfrac{d+6}3 \right)\\\\\\=2\left[\dfrac{3(d-10) - 5(d+6)}{15}\right]\\\\\\=2 \left( \dfrac{3d-30-5d-30}{15} \right)\\\\\\=2\left(\dfrac{-2d-60}{15} \right)\\\\\\=2(-2) \left(\dfrac{d+30}{15} \right)\\\\\\=-4 \left(\dfrac{d+30}{15} \right)\\\\\\=-4\left(\dfrac d{15} +2 \right)\\\\\\=-\dfrac{4d}{15}-8[/tex]

Answer:

$7.56

Step-by-step explanation:

7% = 0.07

108.00 x 7% = $7.56

Answer:

E= 0 Good luck answering the other questions :)

Step-by-step explanation:

Answer:

(-2, 2).

Step-by-step explanation:

  x - y = -4

-5x + 6y = 22    Multiply the first equation by 5:

5x - 5y = -20    Now  Add the last 2 equations:

y = 2.

Substitute y = 2 in the first equation:

x - 2 = -4

x = -4 + 2

x = -2.

Answer:

x=1/2, y=9/2. (1/2, 9/2).

Step-by-step explanation:

x-y=-4

-5+6y=22

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

y=x-(-4)

y=x+4

-5+6(x+4)=22

-5+6x+24=22

6x+24-5=22

6x+19=22

6x=22-19

6x=3

x=3/6

x=1/2

y=1/2+4=1/2+8/2=9/2.

Answer:

See attached files.

The answers are there.

Answer: Here I hope this helps!

Step-by-step explanation:

For example lets work with this fraction

 [tex]\frac{6}{5} -\frac{3}{7}[/tex]

First you need to find a common denominator. (The number at the bottom of the fraction always.)

Multiply until you get a number both denominators go into.

For this it would be 35.

[tex]\frac{6}{5} -\frac{3}{7}[/tex]

5x7=35  7x5=35

You then have to do the same to the top as you did the bottom.

So multiply your numerators (number at the top) the same number as you did to the denominator below it.

[tex]\frac{6}{5} -\frac{3}{7}[/tex]

So 6x7=42.    

And 3x5=15

You then subtract the numerators.

42-15=27

So now you have [tex]\frac{27}{35}[/tex]

[tex]\frac{6}{5} -\frac{3}{7}[/tex] =[tex]\frac{27}{35}[/tex]

Hope this helps! Have a great day!!

Answer : 12 games

Step - by - step explanation :

In - order to find out how many games it will take Erika to get 45 points we need to find out how many points she normally gets in 1 game . . .

What is 30 divided by 8 ? 3.75 ( So Erika gets 3.75 points per game ! )

What is 45 divided by 3.75 ? 12 ( So Erika had to play 12 games in - order to get 45 points ! )

Answer:

thanks for the points again

Step-by-step explanation:

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