Which numbers are the extremes of the proportion shown below?
3-604
=
8
A. 3 and 8
B. 3 and 6
C. 4 and 6
D. 4 and 8

The value of a2+b2 = 0.05

The value of a3+b3 = 41.73

Concept: (a+b)2 = a2+b2+2ab

(a-b)2 = a2+b2-2ab

(a+b)3 = a3+b3+3a2b+3ab2

(a-b)3 = a3-b3-3a2b+3ab2

(I) a²+b²=(1/7-4✓3)²+(1/7+4✓3)²

⇒ ( 1/49 - 48) +(1/49 + 48)=(1-2352/49) + (1+2353/49)

⇒ -47.97 +48.02= 0.05

(ii) a³+b³=(1/7-4✓3)³+(1/7+4✓3)³

⇒(-6.78)³ +(7.07)³

⇒-311.66 +353.39= 41.73

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Answer:

x-intercept: (-5, 0)

y-intercept: (0, -4)

Step-by-step explanation:

The x-intercept is as the name implies when the line intersects the x-axis (the horizontal axis) or when y is equal to 0. If you look at the graph it intersects the x-axis at (-5, 0). The y-intercept follows the same concept except it's when it intersects the y-intercept (vertical axis) or when x is equal to 0. If you look at the graph it, it intersects the y-axis at (-4, 0).

Answer:

3.2

The value of C when B is 5 is 3.2

Step-by-step explanation:

Answer:

x=64

y=54

Step-by-step explanation:

3x+4y=24 4(24-4y\3)+3y=22

x=24-4y/3 96-12y\3+3y=22

x=24-4(54)/3

x=-64 96/3-22=3y/3

y=54

Answer:

They are being multiplied by 2 each time.

Step-by-step explanation:

The X values are going up by 1 and every time X goes up by 1, Y doubles. So (1,2) goes to (2,4) and then (3,8) etc.

Its actually pretty simple, all you do is graph both inequalities and wherever both of the shaded areas overlap is where all of the solutions will be. Hope this helps

Answer:

1.A - B

1.B - D

1.C - [unsure]

Step-by-step explanation:

Answer:

x = -5

Step-by-step explanation:

9x - 7 = -52

we want to single out x,

add 7 to both sides to be one step closer to getting x alone

9x - 7 + 7 = -52 + 7

9x = -45

divided both sides by 9 to get x alone

9x / 9 = -45 / 9

x = -5

Let me know if you need any clarification!

[tex] 9x - 7 = - 52[/tex]

Firstly rearrange the variable on the left side of the equation...

[tex]9x = - 52 + 7[/tex]

Calculate the sum or differences

[tex]9x = - 45[/tex]

[tex]x = - \frac{45}{9} \\ [/tex]

[tex]x = - 5[/tex]

:)

..

Answer:

[tex]ME =\frac{z*s}{\sqrt{n}}[/tex]

Step-by-step explanation:

In a random survey sample, a margin of error is a statistical measurement that takes into account the discrepancy between actual and anticipated findings

To find margin of error, you need

        n = sample size

        z = z-score

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If [tex]x=p+2[/tex] and [tex]y=p-3[/tex], then

[tex]x+y = (p+2) + (p-3) = 2p - 1 \implies x+y+1=2p[/tex]

and

[tex]x-y = (p+2)-(p-3) = 5 \implies x-y-5=0[/tex]

as required.

Answer:

Abbly non of them your question is wrwon

The number of rounds of bingo when the two costs would be the same is 3.

The equation that represents the total cost for adults is : 13 +2r

The equation that represents the total cost for children: 10 + 3r

where r is the number of rounds

When the two costs are the same, the two above equations would be equal: 13 + 2r = 10 + 3r

13 - 10 = 3r - 2r

r = 3

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The values of x and y are 7 and 12 respectively

From the question, we are to determine the values of x and y

From the given information,

Line AB and Line CD bisect each other at point E

Then, we can conclude that

AE = BE

and

CE = DE

From the given information,

AE = 3x - 10y + 123

BE = -2x - 7y + 122

CE = 9x + 10y - 171

DE = 3x + 20y - 249

Then, we can write that

3x - 10y + 123 = -2x - 7y + 122

Simplifying

3x +2x -10y + 7y = 122 -123

5x -3y = -1 ----------- (1)

Also,

9x + 10y - 171 = 3x + 20y - 249

Simplifying

9x -3x +10y -20y = -249 + 171

6x -10y = -78 --------- (2)

Now, solve equations (1) and (2) simultaneously

5x -3y = -1 ----------- (1)

6x -10y = -78 --------- (2)

Multiply equation (1) by 10 and equation (2) by 3

10 × ( 5x -3y = -1

3 × ( 6x -10y = -78

50x -30y = -10 ----------- (3)

18x -30y = -234--------- (4)

Then, subtracting equation (4) from equation (3), we get

50x -18x -30y-(-30y) = -10-(-234)

32x -30y + 30y = -10 + 234

32x = 224

∴ x = 224/32

x = 7

Put the value of x into equation (1), to find y

5x -3y = -1

5(7) -3y = -1

35 -3y = -1

35 + 1 = 3y

36 = 3y

∴ y = 36/3

y = 12

Hence, the values of x and y are 7 and 12 respectively

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Answer:The end of immigration quotas in the 1960s led to

a significant decrease in safe places for refugee immigrants.

a significant increase in discrimination against immigrants.

a significant increase in the number of Asian immigrants.

a significant decrease in the number of Asian immigrants.

Step-by-step explanation:

The area of the region common to both circles is -6.67 square units

Since r = -2sinθ and r = 1, we find their points of intersection.

So, r = r

-2sinθ = 1

sinθ = -1/2

θ = sin⁻¹(-1/2)

θ = 7π/6

So, the circles intersect at (1,  7π/6)

To find the area of the region common to both circles, we integrate from r = 0 to r = 1 and θ = 0 to θ = 7π/6

[tex]A = \int\limits^1 _0 \int\limits^\frac{7\pi }{6} _0( {r - r}) \, dr \,d\alpha \\A = \int\limits^1 _0 \int\limits^\frac{7\pi }{6} _0( {-2sin\alpha - 1}) \, dr \,d\alpha \\A = -\int\limits^1 _0 \int\limits^\frac{7\pi }{6} _0 {2sin\alpha \, dr \,d\alpha - \int\limits^1 _0 \int\limits^\frac{7\pi }{6} _01} \, dr \,d\alpha \\A = 2[cos\alpha]_{0} ^{\frac{7\pi }{6} } [r]_{0} ^{1} r - [r]_{0} ^{1}} [\alpha ]_{0} ^{\frac{7\pi }{6}}} \\[/tex]

[tex]A = 2[cos{\frac{7\pi }{6} - cos0] [1 - 0] - ([1 - 0][\frac{7\pi }{6} - 0]\\[/tex]

A = 2(-¹/₂ - 1) - (1 × 7π/6)

A = 2(-3/2) - 7π/6

A = -3 - 7π/6

A = (-18 - 7π)/6

A = (-18 - 21.99)/6

A = -39.99/6

A = -6.67 square units

So, the area of the region common to both circles is -6.67 square units

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Answer:

See attached file for answers and explanation.

Step-by-step explanation:

See attached image.

it is 3 numbers all together and they are 25, 36 and 49.

Answer:

3

Step-by-step explanation:

11(3)+2 = 6

also,

33-29 =

and

29 - 23 = 6

I take a guss, but I think its 3

Answer:

all the options are incorrect

Given - 20 teachers

- 705 students

To find - ratio of teachers to students

20/705

20 : 705 .

Answer:

x= -7, y= -5 and

x= 2, y= 13

This may also be written as (-7, -5) and (2, 13).

Step-by-step explanation:

Start by labelling the two given equations:

y= x² +7x -5 -----(1)

2x -y= -9 -----(2)

Let's solve by substitution!

Making y the subject of formula in equation (2):

From (2): y= 2x +9 -----(3)

Substitute (3) into (1):

2x +9= x² +7x -5

x² +7x -5 -2x -9= 0

x² +5x -14= 0

Factorise:

(x +7)(x -2)= 0

x +7= 0 or x -2= 0

x= -7 or x= 2

Find the respective values of y.

Substitute into (1):

y= (-7)² +7(-7) -5 or y= (2)² +7(2) -5

y= 49 -49 -5 or y= 4 +14 -5

y= -5 or y= 13

Thus, the solutions are (-7, -5) and (2, 13).

Answer:

⇒ π and √ 78

Rational number:

A number that can be expressed exactly by a ratio of two integers. Integer is usually defined as one of the positive or negative numbers 1, 2, 3, etc., or zero. An example of a rational number is a repeating decimal. A repeating decimal is a decimal numeral that, after a certain point, consists of a group of one or more digits repeated as infimum, as 2.33333.... or 23.0218181818...

Irrational number:

A number that cannot be exactly expressed as a ratio of two integers. An example is a infinite decimal which is a nonterminating decimal, a decimal numeral that does not end in an infinite sequence of zeros (contrasted with terminating decimal). Example: 2.3459810212901....

_________________________

Rational numbers.

The number 9/15 is equal to 0.6 which is a terminating decimal and is therefore, rational.

18 is a whole number and integer making it rational.

9 is a integer and a whole number = rational.

169 is a integer and whole number = rational.

_____________________________________

Irrational numbers.

√78 ≈ 8.831760866

This decimal is a nonterminating decimal that does not terminate nor repeat making it irrational.

Now onto Pi/π which is the 16th letter of the Greek alphabet and is a known-irrational number. The ratio itself: 3.141592+. The letter is used as the symbol for the ratio of the circumference of a circle to its diameter.

It relates to how pi is computed. Pi is equal to the circumference of a circle, which may be calculated by placing an n-gon within a circle. However, when the sides of the n-gon are raised, the value of pi varies every time you divide it by the diameter of the circle, therefore it is impossible to get the exact value of pi. Additionally, irrational numbers never finish or repeat their decimal expansion, therefore they cannot be tallied as 2, 3, and so on.

_____________________________________

Therefore, the number that are irrational is π and √78.

Answer:

in this form the first one next to the x is the slope and the added value is the y intercept

if something is parrell that means the same slop so

3/4

Hope This Helps!!!

Answer:

The correct answer would be 20.92

Answer:

Option 2 which is r^6

Step-by-step explanation:

You need to apply the exponent rules.

Since the r's are the same, you can subtract the exponents.

r^9 - r^3 = r^6

Notice that the bases ("r") stayed the same.

Answer: Choice [B] -r^6 ✅

Step-by-step explanation:

Hii!

Do you need to know the answer to your question? No problem!

We can use the Exponents' Property of division to work out the answer to this particular problem. (:

This property says that if you divide two numbers with the same base, you subtract their exponents.

Do we have the same base here? Yea', sure! The same variable can't stand for two different numbers in the same expression.

Let's work out the answer!

[tex]\LARGE\boldsymbol{r^9/r^3=r^{9-3}=r^6}[/tex]

Voila! There's our answer, cheers!

--

Hope that this helped! Best wishes.

--

Answer:

x = 114

Step-by-step explanation:

since the triangles are congruent, then corresponding angles are congruent, that is

∠ C = ∠ D

x + 18 = 132 ( subtract 18 from both sides )

x = 114

Answer:

Like radicals are those terms that are similar, just like like terms. From this concept we find that option A is correct. 4[∛(7x)] and ∛(7x) are like radicals.

Step-by-step explanation:

Mathematically, like radicals are just like like terms. For example,

x, 2x, -10x, , 7.3x are like terms because the power of x in each case is 1.

xy², -9xy², 13y²x are like terms because the total power of each expression is 3.

Similarly, like radicals are:

√2, -5√2, 1.1√2, etc.

Hence, from the given options, like radical to ∛(7x) is: 4[(7x)].

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The true statement about the function f(x) = -x² - 4x + 5 is that:

The domain of a function is the set of given values of input for which the function is valid and true.

The range is the dependent variable of a given set of values for which the function is defined.

For a parabola ax² + bx + c  with the vertex [tex]\mathbf{(x_v,y_v)}[/tex]

The vertex for an up-down facing parabola for a function y = ax² + bx + c is:

[tex]\mathbf{x_v = -\dfrac{b}{2a}}[/tex]

Thus,

Range: f(x) ≤ 9

Therefore, we can conclude that the range of the function is all real numbers less than or equal to 9.

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