Find the x-intercept and y-intercept of the line.

6x - 3y = 6

x intercept:

y intercept:

Answer:

[tex]651*10^{-8[/tex]

Step-by-step explanation:

Sure hope this helps you

Answer:

23 m

Step-by-step explanation:

the median is calculated as

half the sum of the parallel bases , then

median = [tex]\frac{19+27}{2}[/tex] = [tex]\frac{46}{2}[/tex] = 23

Answer:

Represent the thickness of the frame by x.

Framing the mirror will increase both its length and width by 2x. The area of the mirror with the frame is the product of the length and width which can mathematically be expressed as,

A = (3+2x)(2+2x) = 8

The equation above can be simplified into 4x^2 + 10x -2=0.

This equation can still be further simplified by dividing it by 2. However, it will give an answer which is not found on the choices. Thus, the answer is the third choice.

Answer:

The correct option would be C

Step-by-step explanation:

I hope this helps, if it doesn't then just message me and ill be more than happy to help :)

Answer:

[tex]20000 \times 0.15 \times 5 = 15000 \\ 20000+15000=35000

Step-by-step explanation:

20000 times (0.15 is rate) times years (5)

Answer you get is 15000 , then you have to take 20000+15000=35000

The ratio of the length of candle A to the length of candle B at first will be 3 / 5.

A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A proportional is a mathematical expression in which two things are equal.

Candle A and candle B were lit at the same time. candle a could last 3 hours and candle b could last 5 hours. after 1 hour, both candles were equal in length.

Then the ratio of the length of the candle A to the length of candle B at first will be

Let the length of candle A is x and the length of candle B be y.

The common speed will be S.

Then we have

Time = length / speed

For candle A, we have

Candle A = x / S = 3 ...1

For candle B, we have

Candle B = y / S = 5 ...2

From equations 1 and 2, we have

x / 3 = y / 5

x / y = 3 / 5

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At the end of one year Jasmine will have the sum of $763

The principal amount (P)= $700

The interest rate(R) = 9%

The period of investment (T) = 1 year

Therefore simple interest

= P×T×R/100

= 700×1×9/100

= 6300/100

= $63

Therefore, the total amount she will receive at the end of a year = 700 + 63

= $763

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Answer:

Step-by-step explanation:

So first you add them together which gives you infinity and then you divide infinity by (139+285) then keep doing it until you realise this is a scam

Answer:

see the attachment!

i hope this can help you!

Answer:

c

Step-by-step explanation:

y = 5x² - 17x - 12

to find the roots let y = 0 , that is

5x² - 17x - 12 = 0

Factorising the quadratic

consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 5 × - 12 = - 60 and sum = - 17

the factors are - 20 and + 3

use these factors to split the x- term

5x² - 20x + 3x - 12 = 0 ( factor first/second and third/fourth terms )

5x(x - 4) + 3(x - 4) = 0 ← factor out (x - 4) from each term

(x - 4)(5x + 3) = 0

equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

5x + 3 = 0 ⇒ 5x = - 3 ⇒ x = - [tex]\frac{3}{5}[/tex] = - 0.6

roots are (4, 0 ) and (- 0.6, 0 )

Answer:

1st option

Step-by-step explanation:

given 2 sides of a triangle then the third side s is in the range

difference of 2 sides < s < sum of 2 sides , that is

10 - 8 < s < 10 + 8

2 < s < 18

Answer:

Thhe simplified form of the expression is 9

Indices are expressed as power or exponent which is raised to a number or a variable.

According to the law of indices

\begin{gathered}a^n \times a^m = a^{n+m}\\a^n \div a^m = a^{n-m}\end{gathered}

a

n

×a

m

=a

n+m

a

n

÷a

m

=a

n−m

Given the expression

3^{-6} \times (\dfrac{3^4}{3^0} )^23

−6

×(

3

0

3

4

)

2

This can also be expressed as:

\begin{gathered}=\dfrac{1}{3^6} \times (\frac{3^4}{1})^2 \ (3^0 =1)\\= \dfrac{1}{3^6} \times 3^8\\=\dfrac{3^8}{3^6}\\=3^{8-6}\\=3^2\\=9\\\end{gathered}

=

3

6

1

×(

1

3

4

)

2

(3

0

=1)

=

3

6

1

×3

8

=

3

6

3

8

=3

8−6

=3

2

=9

This shows that the simplified form of the expression is 9

Answer:

A. Makes the most sense. If you are using multiplication you'd get 18 1/16

Step-by-step explanation:

Step-by-step explanation:

Asuming object is a rectangle. We know that to find the perimeter of a rectangle we must add all the sides.

Therefore the formula wound be "b + b + l + l". To simplify this equation we can goup the similar sides as "2b + 2l".

Since we know the perimeter of the rectangle lets equate this simplified formula to 400:

2b + 2l = 400

Now because we know the breath lets replace it with the b position in tge formula.

2(50) + 2l = 400

Now lets use simple algebra to solve.

100 + 2l = 400

2l = 400 - 100

2l = 300

l = 150

Therefore, the lenght is 150cm

Answer:

  114°

Step-by-step explanation:

Non-adjacent angles where two lines cross are called "vertical angles." They are congruent.

  x = 114°

The density of an object is the ratio of the mass of the object to its volume. The height of the block of sugar maple is 6cm

The density of an object is the ratio of the mass of the object to its volume. Mathematically;

Density = mass/volume

Given the following

Mass of block = 82.8grams

Density = 0.69g/cm^3

volume = lwh
Volume = 20h

Substitute

0.69 = 82.8/20h
20h = 82.8/0.69
20h = 120

h = 6cm

Hence the height of the block of sugar maple is 6cm

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6cm

Step-by-step explanation i can confirm that the answer is 6 ;}

Using the z-distribution, it is found that the 99% confidence interval to estimate Q is (74.4, 96.6). The interpretation is that we are 99% sure that the true mean for all cars rented in the city is between these two values.

The confidence interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

In this problem, we have a 99% confidence level, hence[tex]\alpha = 0.99[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so the critical value is z = 2.575.

The other parameters of the interval are given as follows:

[tex]\overline{x} = 85.5, \sigma = 19.3, n = 20[/tex].

Hence the bounds of the interval are given as follows:

[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 85.5 - 2.575\frac{19.3}{\sqrt{20}} = 74.4[/tex]

[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 85.5 + 2.575\frac{19.3}{\sqrt{20}} = 96.6[/tex]

The interpretation is that we are 99% sure that the true mean for all cars rented in the city is between these two values.

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#20

#21

Find LCD of 2,7x,x

So

Answer:

20.  (4)  x > 6

21.  (3)  14x

Step-by-step explanation:

Question 20

[tex]\begin{aligned}\dfrac{1}{2}x+3 & < 2x-6\\\dfrac{1}{2}x+3-3 & < 2x-6-3\\\dfrac{1}{2}x & < 2x-9\\\dfrac{1}{2}x-2x & < 2x-9-2x\\-\dfrac{3}{2}x & < -9\\-\dfrac{3}{2}x \cdot 2 & < -9 \cdot 2\\-3x & < -18\\-\dfrac{3x}{3} & < -\dfrac{18}{3}\\-x & < -6\\\dfrac{-x}{-1} & < \dfrac{-6}{-1}\\x & > 6\end{aligned}[/tex]

Rewrite all three fractions so that their denominators are the same:

[tex]\dfrac{1}{2}=\dfrac{1 \times 7x}{2 \times 7x}=\dfrac{7x}{14x}[/tex]

[tex]\dfrac{2}{7x}=\dfrac{2 \times 2}{7x \times 2}=\dfrac{4}{14x}[/tex]

[tex]\dfrac{5}{x}=\dfrac{5 \times 14}{x \times 14}=\dfrac{70}{14x}[/tex]

Therefore, the least common denominator is [tex]14x[/tex]

Answer:

D) He has a 67% chance of getting a 1, 3, 5, or 6.

Answer:

The answer is 19.8cm to the nearest tenth

Answer:

[tex]22[/tex]

Step-by-step explanation:

Because:

[tex]a \times b = 2a - 3b + ab[/tex]

Then:

[tex]3 \times 5 + 5 \times 3[/tex]

[tex]6 - 15 + 15 + 10 - 9 + 15 \\ = 22[/tex]

Answer:

B. 22

Step-by-step explanation:

Given

3 x 5

5 x 3

⇒ 3 x 5 + 5 x 3

⇒ 6 + 16

⇒ 22 (Option B)

Answer:

(5,2)

Step-by-step explanation:

if it’s (x,y) and 4 to the y to get 2

Answer:

If the sum is 6, the vacation destination will be London.

If the sum is 7, the vacation destination will be Alaska.

If the sum is 9, the vacation destination will be New Mexico.

If the sum is 8, 10 or 12, the vacation destination will be Puerto Rico.

Step-by-step explanation:

Create a sample space for the 2 spins (see attached).

From the sample space, the probabilities are:

Therefore, to make a fair decision:

As the sum of 6, 7 and 9 each have equal probabilities (4/16), they should each be attritbuted to one destination.

As the sum of 8, 10 and 12 combined equal the same probability as the sum of 6, 7, and 9 individually, the sum of 8, 10 and 12 should be assigned to one destination combined.

Solution

If the sum is 6, the vacation destination will be London.

If the sum is 7, the vacation destination will be Alaska.

If the sum is 9, the vacation destination will be New Mexico.

If the sum is 8, 10 or 12, the vacation destination will be Puerto Rico.

The equation for the function g(x) = log₃(x+4) after applying the transformation x → (x+4).

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have equation of the graph:

[tex]\rm f(x) = log_3x[/tex]

Apply transformation in the parent function:

Replace x → (x+4)

The parent function will shift 4 units to the left.

And function becomes:

[tex]\rm g(x) = log_3(x+4)[/tex]

Thus, the equation for the function g(x) = log₃(x+4) after applying the transformation x → (x+4).

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Answer:

infinite number of solutions

Step-by-step explanation:

Given equations:

Rearrange the second equation to make y the subject:

⇒ -12x - 2y = -4

⇒ -12x - 2y + 2y = -4 + 2y

⇒ -12x = -4 + 2y

⇒ -12x + 4 = -4 + 2y + 4

⇒ -12x + 4 = 2y

⇒ (-12x + 4) ÷ 2 = 2y ÷ 2

⇒ y = -6x + 2

Comparing the rearranged equation with the first equation, we can see that both equations are the same.  

Therefore, as there is only one line, there are an infinite number of solutions.

Answer:

$ 142100

Step-by-step explanation:

Profit is the difference between the revenue and the cost

        P(x) = R(x) - C(x)

                = 820x - x² - (2300 + 60x)

                = 820x - x² - 2300 - 60x

                = -x² + 820x - 60x - 2300

         P(x) = -x² + 760x - 2300

a =  -1   ; b = 760  and c = -2300

       [tex]\sf \boxed{P_{max} = c - \dfrac{b^2}{4a}}[/tex]

                  [tex]\sf = -2300 - \dfrac{760^{2}}{4*(-1)}[/tex]

                  [tex]\sf = -2300 +\dfrac{577600}{4}\\\\ = -2300 + 144400\\= 142100[/tex]

[tex]\sf \boxed{P_{max}= \$ 142100}[/tex]