Find the value of a.

Answer:

(0,1,3,5)

Step-by-step explanation:

Set g(x) equal to each respective range and solve for x

[tex]3x + 2 = 2[/tex]

[tex]3x + 2 = 5[/tex]

[tex]3x + 2 = 11[/tex]

[tex]3x + 2 = 17[/tex]

If we solve for each, we get

[tex]x = 0[/tex]

[tex]x = 1[/tex]

[tex]x = 3[/tex]

[tex]x = 5[/tex]

So our domain is

(0,1,3,5)

Answer:

4.5

Step-by-step explanation:

The triangles are similar

QT       QS

------ = ______

QR       QP

3                 5

-----------  = ---------

(4x-3)+3     25 +5

3                 5

-----------  = ---------

4x             30

Using cross products

3*30 = 5*4x

90 = 20x

90 /20 = 20x/20

4.5 =x

C. Because C right now

Option C is correct, the equivalent expression of √8x⁷y⁸ is 2x³y⁴√2x

An expression is combination of variables, numbers and operators.

The given expression is √8x⁷y⁸

Square root of eight times x power seven y power eight.

Now we have to find the equivalent expression.

Equivalent expressions are expressions that work the same even though they look different.

We have to simplify the given expression

√4×2x⁶.xy⁸

We get 2x³y⁴√2x

Hence, Option C is correct, the equivalent expression of √8x⁷y⁸ is 2x³y⁴√2x

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Answer:

a) 128°

b) Opposite angles of a cyclic quadrilateral add up 180°

Step-by-step explanation:

→ Work out ABD

180 - 116 = 64°

→ Use the theorem 'The angle at the centre is twice the angle at the centre'

2 × 64 = 128°

→ Use the cyclic quadrilateral theorem

Opposite angles of a cyclic quadrilateral add up 180°

The value of x is 128 degree when the angle CBD is of 116 degree.

It is a four sided polygon having four angles and four corners.

Firstly we find angle ABD which is 180-116=64 Degrees because the angle at the center is twice the angle on the any point of circle.

So the value of x becomes 2*64=128 degrees.

By using the cyclic quadrilateral theorem opposite angles of a cyclic quadrilateral has a sum of 180 degrees.

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Answer:

Mean

Step-by-step explanation:

Finding the mean, or the average, of the different weights that were measured, would best estimate the true mass of the solid.

This would find the average mass, which would be the most accurate estimate of the solid's actual mass.

Using the minimum, maximum, and mode will not take into account the other weights that were measured. This makes it much more inaccurate.

So, the correct answer is Mean.

Answer:4

Step-by-step explanation:

but they said it would have toend

=======================================================

Work Shown:

x = length of PQ

3x-20 = length of QS, since its 20 less than 3 times PQ

The triangles are similar (we can prove this through the AA similarity theorem), so we can set up a proportion like shown below to solve for x.

PT/RS = PQ/QS

6/8 = x/(3x-20)

6(3x-20) = 8x ..... cross multiplying

18x-120 = 8x

18x-8x = 120

10x = 120

x = 120/10

x = 12

So PQ is 12 units long.

This then means QS = 3x-20 = 3*12-20 = 36-20 = 16

Answer:

Step-by-step explanation:

Answer:

3[tex]\sqrt{11}[/tex] + 2[tex]\sqrt{11}[/tex] = 5[tex]\sqrt{11}[/tex]

Step-by-step explanation:

[tex]\sqrt{99}[/tex] = [tex]\sqrt{(9)(11) }[/tex] = 3 [tex]\sqrt{11}[/tex]    (separate perfect squares using factoring)

[tex]\sqrt{44}[/tex] = [tex]\sqrt{(4)(11)}[/tex] = 2 [tex]\sqrt{11}[/tex]

3 [tex]\sqrt{11}[/tex] + 2 [tex]\sqrt{11}[/tex] = 5 [tex]\sqrt{11}[/tex]   (add like terms. Think of the [tex]\sqrt{11}[/tex] like x's.)

                                        (Just add the coefficients)  

Answer:

5[tex]\sqrt{11}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b[/tex] = [tex]\sqrt{ab}[/tex]

Simplifying the radicals

[tex]\sqrt{99}[/tex]

= [tex]\sqrt{9(11)}[/tex]

= [tex]\sqrt{9}[/tex] × [tex]\sqrt{11}[/tex]

= 3[tex]\sqrt{11}[/tex]

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

[tex]\sqrt{44}[/tex]

= [tex]\sqrt{4(11)}[/tex]

= [tex]\sqrt{4}[/tex] × [tex]\sqrt{11}[/tex]

= 2[tex]\sqrt{11}[/tex]

Then

[tex]\sqrt{99}[/tex] + [tex]\sqrt{44}[/tex]

= 3[tex]\sqrt{11}[/tex] + 2[tex]\sqrt{11}[/tex]

= 5[tex]\sqrt{11}[/tex]

with a = 5 and b = 11

Answer:

[tex]6(\frac{1}{3} \times\frac{7}{5} )=(6\times\frac{1}{3} )\frac{7}{5}[/tex]

[tex]Answer: B[/tex]

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

Hope it helps...

Have a great day!!

Answer:

Step-by-step explanation:

a) 8 * 3 = 24 cm^2

b) 5.2 * 7.7 = 40.04 cm^2

Expression given:-

Substaract 7 from sum of 9 and 8

Convert it to algebraic term

[tex]\\ \sf\longmapsto (9+8)-7[/tex]

[tex]\\ \sf\longmapsto 17-7[/tex]

[tex]\\ \sf\longmapsto 10[/tex]

Answer:

5.5%

Step-by-step explanation:

Firstly, we find the difference between the fixed cost and the price above the fixed cost

We have this as;

1, 671,120 - 1,584,000 = 87,120

now, we have to divide this value by the fixed cost and express as a percentage

we have this as;

87,120/1,584,000 * 100% = 5.5%

Answer: [tex]26,400\ ft[/tex]

Step-by-step explanation:

Given

Each side of the pentagon measures [tex]1760\ ft[/tex]

A complete trip is equivalent to the perimeter of the perimeter

[tex]\Rightarrow \text{Perimeter of the Pentagon P=}5\times 1760\\\Rightarrow P=8800\ ft[/tex]

For Three rounds, he completed a distance of  

[tex]\Rightarrow P=3\times 8800\\\Rightarrow P=26,400\ ft[/tex]

The solution of the given quadratic equation is x = -2.

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.

Given is a quadratic equation x²+4x+4 = 0, we need to solve it using the Quadratic Formula:

The formula for the same is given by -

x = -b ± √b²-4ac / 2a

Here,

a = 1, b = 4 and c = 4

Put in the formula,

x = -4 ± √4²-4(1)(4) / 2

x = -4 ± √16-16 / 2

x = -4 ± √0 / 2

x = -4/2

x = -2

Hence, the solution of the given quadratic equation is x = -2.

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Answer: $15927.183

Step-by-step explanation:

Price of good= $29,000

Trade discount = 40½ 20¼/5

The first discount will be:

= 40½ × $29000

= $11745

Then, the price after the first discount will be:

= $29000 - $11475

= $17255

Then, the second discount will be:

= $17255 × 20¼%

= $3494.14

Then, the price after the second discount will be:

= $17255 - $3494.14

= $13760.86

The third discount will be:

= $13760.86 × 5%

= $688.043

Then, the total discount will be:

= $11745 + $3494.14 + $688.043

= $15927.183

Therefore, the trade discount is $15927.183.

Answer:

These figures are not similar

Step-by-step explanation:

The two sides are proportional, but the angle between them are not congruent.

One angle is marked with one arc.

The other is marked with two arcs.

They must have the same number or arcs to be considered congruent.

Tricky

y = 42°

Because the angle at the side of right angle will also be right angle or 90°

Sum of all angles of a triangle = 180°.

So, 48° + 90° + y = 180°

=> 138° + y = 180°

=> y = 180° - 138°

=> y = 42°

Angles on a straight line are 180. Therefore, 180 - 90 (right angle) = 90

Angles in a triange add to 180.

90 + 48 = 138

180 - 138 = 42

—————— (not sure if you need this, but:)

To work out x, you would do:

Angles on a straight line add to 180.

180 - 48 = 132

132/2 = 66

To work out z:

Angles in a triangle add to 180. You know x is 66, so

66 + 90 (right angle) = 156

180 - 156 = 24

Answer:

0.2210

Step-by-step explanation:

If p = 0.04

then 1-p = 1 - 0.04 = 0.96

So we have the probability distribution value

as;

n C r * p^r * (1-p)^(n-r)

Thus;

64 C 3 * p^3 * (1-p)^(64-3)

= 64 C3 * 0.04^3 * 0.96^61

where 64 C 3 is 64 combination 3

= 41,664 * 0.04^3 * 0.96^61

= 0.2210

Answer:

(a) 25

(b) $4816

Step-by-step explanation:

Let's say the starting amount of ducks is d, and the starting amount of chickens is c. Since there are only ducks and chickens, we can say that d + c= 455.

Next, the farmer sells 2/5 of the ducks, so we subtract 2/5 of the ducks so that the ending duck amount is d - (2/5)d = (3/5) d

After that, the farmer buys another 104 chickens, so we add 104 chickens to the current amount of chickens to get the ending chicken number as 104+c

Given the ending duck and chicken count, we can say that the ending farm animal count (we can represent this as a) is (3/5)d + 104 + c = a

The number of ducks is 2/3 the total number of animals at the end, so (3/5)d = (2/3)a

Let's list our equations out so it is easier to solve:

d+c = 455

(3/5)d + 104 + c = a

(3/5)d = (2/3)a

We have three equations and need to solve for three variables. One common variable in all three equations is d, so it might help if we put everything in terms of d.

Starting with d+c=455, if we subtract d from both sides, we get c=455-d. We can substitute this in the second equation to get

(3/5)d + 104 + 455 - d = a

-(2/5)d + 559 = a

(3/5)d = (2/3)a

Next, we can substitute for a. If we multiply both sides by 3 and then divide by 2 in (3/5)d = (2/3)a , we get

(9/10)d = a

Substitute that in to the second equation to get

-(2/5)d + 559 = (9/10) d

-(4/10)d + 559 = (9/10) d

add (4/10)d to both sides to isolate the variable and its coefficient

(13/10)d = 559

multiply both sides by (10/13) to isolate the coefficient

d = 430

Therefore, the starting number of ducks is 430 and the starting amount of chickens is 455-430 = 25

For (b), 2/5ths of the ducks are sold, so this is (430) * (2/5) = 172. Each duck is sold for 28 dollars, so this is 172*28=$4816 as the total price

Answer:

Let the MP of 1 article = Rs 1

MP of 15 article = Rs 15

SP of (15+1) articles = 15 x 96/100

= Rs 14.40

CP of 16 article = 14.40/135 x 100

= Rs 32/3

CP of 1 article = 32/3x16

= Rs 2/3

Required % = 1/3 x 3/2 x 100

= 50

Answer:

1/7

Step-by-step explanation:

negative reciprocal

Answer:

The correct answer, pertaining to the proposed interrogate, is acknowledged as x = 3.

Step-by-step explanation:

To evaluate for such, a comprehension of linear data must be obtained:

Slope = rise/run, defined as the agglomerate distance between two differentiated points.

X-intercept: The peculiar point in which linear data is observed to intersect the x-axis.

Y-intercept: The peculiar point in which linear data is observed to intersect the y-axis.

If there is a vertical line intersecting the x-axis, the particular point (x, y) is identified as what x is equated to.

Likewise, if there is a horizontal line intersecting the y-axis, the particular point (x, y) is identified as what y is equated to.

Thus, the following must be applied to the interrogate:

- Vertical line, thus determine the point in which the data intersects the x-axis.

- Such is identified as (3,0).

Thus, since that is the only linear figure intersecting at such peculiar axis, 3 is the equated value of x.

Hence, x = 3.

*I hope this helps.

Answer:

D

Step-by-step explanation:

Step-by-step explanation:

Answer:f(x)=-5x^(2)-3x+9 this is the standard form

Answer:

y=58°

x=122°

Step-by-step explanation:

y=58°[°•°being corresponding angles]

Now,

x+y=180[°•°co-interior angles]

or, x=180-58

•°•x=122

Answer:

4

Step-by-step explanation: