Work out 97.974436÷14and give your answer to 2 decimal places.​

Step-by-step explanation:

We have xy = 28, x² + y² = 65 and x³ + y³ = 407.

Since (x + y)(x² - xy + y²) = x³ + y³,

x + y = (x³ + y³)/(x² + y² - xy)

= (407) / [(65) - (28)]

= 407 / 37

= 11.

Hence the sum of the numbers is 11.

Answer:

The sum is 11

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

19.5

Step-by-step explanation:

60 - 40.5 = 19.5.

Answer:

isosceles right triangle

Answer:

2(2x+3)(6x-5)

Step-by-step explanation:

2(12x²+8x²-15)

2(12x²+18x-10x-15)

2(6x(2x+3)-5(2x+3))

2(2x+3)(6x-5)

Answer:

[tex]-2 \frac{1}{4}<-1 \frac{1}{4} < \frac{3}{4}< |1 \frac{1}{4}|< |-1 \frac{3}{4}| < |-2 \frac{1}{4}|[/tex]

Step-by-step explanation:

Given the numbers:

[tex]-1 \frac{1}{4} , |-1 \frac{3}{4}| , \frac{3}{4} , -2 \frac{1}{4} , |1 \frac{1}{4}| , and |-2 \frac{1}{4}|[/tex]

To find:

The ascending order of the given numbers.

Solution:

First of all, let us have a look at the definition of absolute value function i.e. Modulus function.

[tex]|y|=\left \{ {-{y}\ if\ y<0 \atop {y}\ if\ y>0} \right.[/tex]

i.e. if the numbers is negative, then a negative sign is added to make the number positive.

Now, let us have a look at the given numbers with modulus one by one.

[tex]|-1 \frac{3}{4}| = -(-1 \frac{3}{4})=1 \frac{3}{4}\\ |1 \frac{1}{4}| = 1 \frac{1}{4}\\|-2 \frac{1}{4}| = -(-2 \frac{1}{4})=2 \frac{1}{4}[/tex]

Smallest numbers are with negative signs.

And negative numbers with larger magnitude are smaller.

Therefore, the ascending order will be:

[tex]-2 \frac{1}{4}<-1 \frac{1}{4} < \frac{3}{4}< |1 \frac{1}{4}|< |-1 \frac{3}{4}| < |-2 \frac{1}{4}|[/tex]

Answer:

Step-by-step explanation:

- 2 1/4 - 1 1/4 3/4 | 1 1/4| | - 1 3/4 | - 2 1/4 |

Answer:

c=3.14d

c=3.14*8

c=25.12

25.12 cm

Answer:

x = 1

Step-by-step explanation:

3(x + 6) -5 = 16

You want to first add the 5 (*flipping the sign)  over to the 16

making your equation ...

3(x +6) = 21

Then you want to distribute the 3 to x and 6

making you equation

3x + 18 = 21

Then you want to subtract the 18 (*flipping the sign) to the right side

making the equation....

3x = 3

Lastly, divide the 3 on the left to the 3 on the right making the answer 1

x = 1

Step-by-step explanation:

(f o g)(x)

= f(3x² - 5)

= (3x² - 5) + 2

= 3x² - 3.

(f.g)(x) = 3x^2 - 3

f(x) = x + 2
g(x) = 3x^2 - 5

equation is the relationship between variable and represented as     is example of polynomial equation.

f(x) = x + 2
g(x) = 3x^2 - 5
now putting the x = g(x)
in f(x) = x + 2
Thus,
f(g(x)) = 3x^2 - 5 + 2
f(g(x)) = 3x^2 - 3

Thus, (f.g)(x) = 3x^2 - 3

Learn more about equation here:

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Answer:

41/10

Step-by-step explanation:

Answer:

Based on what you asked i think the answer would be 4 1/10

Step-by-step explanation:

Answer: B.Side side side similarity theorem

Step-by-step explanation:

Hope this helps <3

^^^^ B.Side side side similarity theorem is correct

i just took the test and it was right!

Answer:

125°

Step-by-step explanation:

x + 24 is equal to 1.

6 is equal to 4x + 1

1 and 4x + 1 = 180°

x + 24 + 4x + 1 = 180

4x + x + 24 + 1 = 180

5x + 25 = 180

5x = 180 - 25

5x = 155

5x/5 = 155/5

x = 31

(angle) 6 = 4x + 1

(angle) 6 = 4(31) + 1

(angle) 6 = 124 + 1

(angle) 6 = 125°

Answer: All of the ones with a positive and negative. If it’s positive and positive or negative with a negative put in the equation, it’ll always equal a positive. Hope that helps!

Answer:

-6 * 7

-8 * 8

11 * (-2)

Step-by-step explanation:

Hope this helps :D

Step-by-step explanation:

Let x be the money made in sales. Let y be the money made in commissions.

First, convert 2.5% to a decimal.

2.5% = 0.025

Equation:

0.025x = y

Robert:

0.025(8850) = y

y = $221.25

Francisca:

0.025x = 279

x = 279/0.025

x = $11,160

Answer:

90 minutes

Step-by-step explanation:

0.80x=72

divide 72 by 0.80 = 90

check work... 80% of 90 = 72

Answer:

90 minutes

Step-by-step explanation:

For ΔKXD, x = 21

"The triangles that have corresponding sides in proportion to each other and corresponding angles are equal."

For given question,

ΔAGM is similar to ΔKXD

This means,

[tex]\frac{AG}{KX} = \frac{GM}{XD} = \frac{AM}{KD}[/tex]

Consider,

⇒ [tex]\frac{AG}{KX} = \frac{GM}{XD}[/tex]

⇒ [tex]\frac{32}{x+3} = \frac{36}{x+6}[/tex]

⇒ [tex]32\times (x+6) = 36\times (x+3)[/tex]

⇒ [tex]32x+192=36x+108[/tex]

⇒ [tex]4x = 84[/tex]

⇒ x = 21

Learn more about similar triangles here:

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Answer:

.6

Step-by-step explanation:

Answer:

18/5, 3 3/5

Step-by-step explanation:

Answer:

The third graph(left to right)

Step-by-step explanation:

the vertex would be (-1,-3) from the formula.

Answer:

6

Step-by-step explanation:

30/90 is 1/3.   1/3 is equal to 6/18

Hope that helpsssss :DD

Answer:

6

Step-by-step explanation:

30/90 = 1/3

If you multiply 6 by 3, you get 18

Answer:

y int is 20

slope = 2

equation: y = 2x + 20

Answer:

I dont know what does the long question requires.If is the question of 17 problem then i have explained and solved .If not then I dont know what to do.

Answer:

A

Step-by-step explanation:

Unit rates means is a rate that compares something to "1" :)

Answer:

dx/dt = 5√5/2

Step-by-step explanation:

Given:

dx/dt = 25 feet per second

According to Pythagoras theorem:

x² + 90² = y²

We know that x = 30 ft

So,

x² + 90² = y²

30² + 90² = y²

y = 30√10

So,

x² + 90² = y²

By taking differentiate:

2x dx/dt = 2y dy/dt

[x/y][dx/dt] = dy/dt

dx/dt = 5√5/2

Answer:

bc+ad=b

or,ad=b-bc

or,a=(b-bc)/d

Answer & Step-by-step explanation:

Ok, so to solve for a in this equation means that we need to write the equation from the point of view of a, instead of b, which is the way it is currently written.

bc + ad = b

The first thing to do is isolate a, we do this by dividing every term in this by a.

a = bc/a + ad/a + b/a

a = d(bc + b)

Now, we need to divide d from the equation.

Answer:

-4a+48

Step-by-step explanation:

Using the distributive property, you would multiply -4 with the values inside the brackets, which are a and -12.

-4*a + (-4*(-12))

= -4a+(48)

= -4a+48

Hope this helps!

Answer:

-4a+48

Step-by-step explanation:

Multiply -4 to a and -12

-4a+48

Answer:

b= 2 10/31

Step-by-step explanation:

You need to divide 62b by 62 so you can find the value of b.

When you do anything to one side, you have to do it to the other.

62b=144

/62    /62

b= 2 10/31

Answer:

The answer is C.

explanation:

The reason for answer (C) is because when looking for a function the (X) value cant repeat, but the (Y) can. In answer (C) the x-value 19 repeats.

sorry if its wrong, but pretty sure im right.

Answer:

The smallest angle is 80 and the largest angle is 180.

Step-by-step explanation:

Hope this helps! :D

Plz mark me as brainliest!