Find the angle measure of MP

Answer:

Step-by-step explanation:

The Rational Root Theorem tells you that potential rational roots are ...

  ±(divisor of constant term)/(divisor of leading coefficient)

Ignoring the fact that all of the coefficients can be reduced by a factor of 2, straightforward application of this theorem suggests possible rational roots might be ...

  ±{1, 2, 4}/{1, 2} = {±1/2, ±1, ±2, ±4} . . . potential roots

Examination of the graph of the function shows the actual roots are ...

  x = -2, -1 (multiplicity 2)

_____

Additional comment

Descartes' rule of signs eliminates positive real roots from the list. (There are no coefficient sign changes, hence no positive real roots.)

Division of the polynomial by 2 gives x³ +4x² +5x +2 = 0, which only suggests rational roots of -2 or -1. The answer to the question of potential roots depends on the extent to which you refine the list above.

The error made by Kaitlyn when solving the system of equations is in step 2. Her solution will be incorrect.

The right option will be: No, she made an error in step 2. She should have found y = 0. 5.

Given the system of linear equations:

-3x + 2y = 8 ---> eqn. 1

3x + 2y = -6 ---> eqn. 1

First add both equations together:

Step 1: 4y = 2

Next, divide both sides by 4:

Step 2: y = 2/4

y = 0.5

Therefore, the error made by Kaitlyn when solving the system of equations is in step 2. Her solution will be incorrect.

The right option will be: No, she made an error in step 2. She should have found y = 0. 5.

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Answer:

0.325

Step-by-step explanation:

$63 divide by 24 you'll get 2.625

then $2.95 minus 2.625 you'll get 0.325

Answer:

Hope I explain it well!

Step-by-step explanation:

k + a/6 = 3k

well, I am not sure if we need to find the a, or the k, so lets find both!

--

First the a:

k + a/6 = 3k (subtract k)

a/6 = 2k (Multiply by 6)

a = 12k

--

Last, the k:

k + a/6 = 3k (Subtract k)

a/6 = 2k (Divide by 2)

a/12 = k

--

There you go, I hope you figure it out <3

Answer:

y = - 3, x = 6

Step-by-step explanation:

15x + 31y = - 3

x = - y + 3

15(- y + 3) + 31y = - 3

-15y + 45 + 31y = - 3

16y + 45 = - 3

16y = - 48

y = - 3

x = - (- 3) + 3

x = 3 + 3

x = 6

Answer:

x = 6, y = -3.

Step-by-step explanation:

15x + 31y = -3

x = -y + 3

Substitute x = -y + 3 in the first equation:

15(-y + 3) + 31y = -3

-15y + 45 + 31y = -3

16y = -3 - 45 =-48

y = -3.

So x = -(-3) + 3 = 6.

Answer:

585

Step-by-step explanation:

Since there are 8 tanks and 5 barrels, you must add the two together,

[tex]8+5=13\\[/tex]

Then since there are 45 liters of oil in each containe, you have to multiply,

[tex]13x45=585[/tex]

There are 585 liters of oil

Answer:

Step-by-step explanation:

ur mom

Answer:

3 units

Step-by-step explanation:

I hope it helps you!

Answer:

97

Step-by-step explanation:

Step-by-step explanation:

a. 5 2/5 can be converted to 27/5

Multiply the numerators and denominators of 7/9 and 27/5

You will get: 189/45

This can be simplified to 21/5

b. 1 3/4 can be converted to 7/4 and 4 1/6 can be converted to 25/6

Using the same process as before, you get: 175/24

Answer:

4x²+ 4x +4

Step-by-step explanation:

g(f(x)) = (2x + 1)² + 3

= 4x² + 4x + 1 + 3

= 4x²+ 4x +4

Answer:

(4x^2) + (4x) + 4

Step-by-step explanation:

Let a = f(x) = 2x+1

g(a) = a^2 + 3 = (2x+1)^2 + 3 = 4x^2 + 4x + 4

Answer:

No Solution

Step-by-step explanation:

This is impossible. x+1 is not x+2

Variables are always the same: x=x

Answer:

No their isn't

Step-by-step explanation:

Answer:

a) 8x + 5x = 13x

b) 9f + 10f - 12f = 7f

Step-by-step explanation:

For part b, just solve from left to right normally, since adding and subtracting are inverse operations. (Inverse operation; meaning they are opposites of each other.)

So 9 + 10 = 19, and 19 - 12 = 7.

Hope this helps you :)

Step-by-step explanation:

(a) 8x + 5x = 13x....simplified

(b) 9f + 10f - 12f = 7f.....simplified

Answer:

20 gallons of water.

Step-by-step explanation:

4 water bottles = 8 gallons

1 water bottle = 2 gallons

X = Number of Water bottles

N = Gallons Per Water Bottle

X * N

10 * 2

20

Answer:

2/5

Step-by-step explanation:

Subtract 2x from both sides

-5y = -2x + 10

Divide both sides by -5

y = 2/5 x -2

The slope is 2/5.

Answer:

It's 47 because it's an isosceles triangle.

Step-by-step explanation:

Answer:

F is equal to 47

Step-by-step explanation:

G is equal to F

Answer:

0.8 or 0.08 i believe

Step-by-step explanation:

hope this helps!

Answer:

So there is an answer button, and there is a + sign. Once you click on it, you will be able to answer questions.

Step-by-step explanation:

1. Ask a teacher if you don't know answer to a certain subject you are studing

2.  Practice makes perfect

3 . Discuss and work with partner

Following the proportions given in the table, it is found that in the 7th arrangement, there will be:

From the table, it can be seen that for the nth arrangement, the number of daisies and tulips follows a proportional relationship, that is:

Hence, in the 7th arrangement, there will be:

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Answer:

This problem has been solved! See the answer. Suppose f and g are differentiable functions with the values shown in the table below. For each of the following functions h, find h ' (6). x. f ( x) g ( x) f ' ( x) g ' ( x)v

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

25 - 20 = 5

20/4 = 5

100 / 4 = 25

Answer:

20+25%=25% Ali Has increased 25%

[tex]\huge \bf༆ Answer ༄[/tex]

Let's Solve for t ~

➢ [tex] \sf q = \dfrac{2 - 4t}{t + 3} \\[/tex]

➢ [tex] \sf{q(t + 3) =2 - 4t }\\[/tex]

➢ [tex] \sf{qt + 3q} = 2 - 4t\\[/tex]

➢ [tex] \sf{qt + 4t = 2 - 3q }\\[/tex]

➢ [tex] \sf{t(q + 4) = 2 - 3q}\\[/tex]

➢ [tex] \sf{t = \dfrac{2 - 3q}{q + 4} }[/tex]

Answer:

t = (2 - 3q)/(q + 4).

Step-by-step explanation:

We cross multiply:

q(t + 3) = 2 - 4t

qt + 3q = 2 - 4t

qt + 4t = 2 - 3q

t(q + 4) = 2 - 3q

t = (2 - 3q)/(q + 4).

Answer:

160

Step-by-step explanation:

23.4456 x 6.66=156.147696 respectively.

156.147696 to the nearest ten is 160.

The length of x is 3√10 units.

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry. According to this rule, the areas of the squares on the other two sides add up to the area of the square whose side is the hypotenuse, or the side across from the right angle. This theorem can be expressed as the Pythagorean equation, which is an equation connecting the lengths of the sides a, b, and the hypotenuse c. Pythagoras, a Greek philosopher who was born around 570 BC, is remembered by the theorem's name. The theorem has likely been proved the most times of any mathematical theorem using a variety of techniques.

As per the given data:

Perpendicular = 9 units

Base = 3 units

Using Pythagoras theorem to find x (hypotenuse):

[tex]x^2 = 9^2 + 3^2\\x^2 = 81 + 9\\x^2 = 90\\x = \sqrt{90}\\x = \sqrt{9\times10}\\x = 3\sqrt{10}[/tex]units

Hence, the length of x is 3√10 units.

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Answer:

Well we’ll just substitute

So 5z-4

And z is 5

5*5-4

25-4=21

The value is 21

Answer: Minimum for $150: 2 Hours

Step-by-step explanation: First, Tiffany charges $30 per additional child. If she babysits for 4 children, you do 30 x 4, which is equal to 120. That would be the cost for the children. Now, if she charges $15 PER HOUR, then you just add up $15 + $15, which is $30, and you add that $30 to the $120. Which is $150. There you have it. If this is wrong, correct me please!