What are the x intercepts and y intercept

Answer:

Mean = 14.33333333

Median = 11

Mode= 9 and 11

Range  = 42

Step-by-step explanation:

To find the mean, add all the numbers

(5+1+15+43+9+9+11+11+14+12+36+6) = 172

Divide by the number of numbers

172/12 = 14.33333333

Median is the middle number when listed from smallest to largest

1,5,6,9,9,11,11,12,14,15,36,43

Split into 2 even groups

1,5,6,9,9,11,    11,12,14,15,36,43

The middle is between 11 and 11

(11+11)/2 = 11

Mode is the number that appears mode often

This has 2 modes, 9 and 11

Range is largest number minus smallest number

43-1 = 42

Answer:

x= 15

Step-by-step explanation:

Since this is an isosceles triangle, the other angle is also 5x-6

The sum of the angles of a triangle is 180

42+ 5x-6 + 5x-6 = 180

Combine like terms

10x+30 =180

Subtract 30 from each side

10x+30-30 = 180-30

10x = 150

Divide by 10

10x/10 = 150/10

x= 15

Answer:

B

Step-by-step explanation:

One good way to look at this is to graph both polynomials, as shown in the picture. A tip to help graph is to factor it out and work from there. For example, in x²+14x+48, we can gather that (x+6)(x+8) is the same thing, and it is easier to then graph it. Similarly, for x²+12x+36, we can factor it out as (x+6)² .

When x²+12x+36 approaches 6, it is getting really close to 0, but it stays positive. When x²+14x+48 approaches 6 from the negative side, it is also getting close to 0, but it's negative. When x²+14x+48 approaches 6 from the positive side, it is positive.

Therefore, on the negative side, there is one positive and one negative (dividing a negative by a positive is negative, and a positive by a negative is also negative) , and on the positive side, there are two positives, forming one answer.The answer is therefore B

Answer:

a) f(3) =6

b) g(-4) =16

Step-by-step explanation:

answer to a, substitute X with 3. which will be f(3)=9-3

=6

answer to b, substitute X with -4, which will be g(-4)=(-4)^2

=16

Answer:

There are no solutions

Steps :

First we expand it

[tex]-3+6b=6b+5[/tex]

Then we add 3 to both sides

[tex]-3+6b+3=6b+5+3[/tex]

Then we simplify

[tex]6b=6b+8[/tex]

Then we subtract 6b from both sides

[tex]6b-6b=6b+8-6b[/tex]

Simplify

[tex]0=8[/tex]

No solutions !

The correct representation of the law of cosines is A. c² = a² + b² - 2ab cos C.

Let there is triangle ABC such that |AB| = a unit, |AC| = b units, and |BC| = c units and the internal angle A is of θ degrees, then we have:

[tex]a^2 + b^2 -2ab\cos(\theta) = c^2[/tex]

(c is the opposite side to angle A)

We have been Given any triangle ABC with corresponding side lengths a, b, and c.

In the given triangle ABC, the sides are;

BC = a, AB = b and AC = c

Now we know as per the law of cosines for all three sides of the triangle;

c² = a² + b² - 2ab cosC

a² = b² + c² - 2bc cosA

b² = a² + c² - 2ac cosC

Therefore the correct representation of the law of cosines is A. c² = a² + b² - 2ab cos C.

Learn more about the law of cosines here:

https://brainly.com/question/17289163

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Answer: The longest possible length of the shelves =  18 inches

Step-by-step explanation:

Given: Lengths of two boards are  72-inches and 54 inches.

To make as many shelves as he can while using up all the wood we will find the longest possible length of the shelves = HCF ( 72, 54)

72 = 2 x 2 x 2 x 3 x 3

54 = 2 x 3 x 3 x 3

HCF(72,54) = 2 x 3 x 3 = 18

Hence, the longest possible length of the shelves =  18 inches

Answer:

An arithmetic sequence is defined by:

[tex]a_n = a_{n-1} + d[/tex]

Here, we know that:

[tex]a_3 = 14\\a_{10} = 98[/tex]

Using the recursive relation, we can write:

[tex]a_{10} = 98 = a_9 + d[/tex]

And can keep applying the recursive relation, so we will have:

[tex]98 = a_9 + d = (a_8 + d) + d = a_8 + 2*d[/tex]

And so on, until we get to a known term:

[tex]98 = a_8 + 2*d = a_7 + 3*d = a_6 + 4*d = a_5 + 5*d = a_4 + 6*d = a_3 + 7*d[/tex]

[tex]98 = a_3 + 7*d = 14 + 7*d[/tex]

Then we can solve:

98 = 14 + 7*d

for d:

98 - 14 = 7*d

84 = 7*d

84/7 = d = 12

Now we know the value of d, we can keep using the recursive relation to find the first 3 terms:

Here, we can rewrite the recursive relation as:

[tex]a_{n-1} = a_n - d[/tex]

Then:

[tex]a_2 = a_3 - d = 14 - 12 = 2\\a_2 = 2[/tex]

[tex]a_1 = a_2 - d = 2 - 12 = -10\\a_1 = -10[/tex]

[tex]a_0 = a_1 - d = -10 - 12 = -22\\a_0 = -22[/tex]

Then the first 3 terms are:

-22, -10, 2

Answer:

D

Step-by-step explanation:

In a function with x as the independent variable and y as the dependent variable, the f(x) notation replaces y in the equation.

Answer:

y=-7x-3

Step-by-step explanation:

y=-7x+b

32=-7(-5)+b

32=35+b

-3=b

y=-7x-3

Answer:

x = 50

Step-by-step explanation:

The unknown arc is

360 -30-100-100 =

130

We can find the value of x

Angle Formed by Two Secants= 1/2(difference of Intercepted Arcs)

x = 1/2 ( 130 -30)

x = 1/2 (100)

x = 50

Answer:

y / z^3

Step-by-step explanation:

x^0 is 1 because anything to the zero power is 1

1 *y z^-3

We know a^-b = 1/a^b

y / z^3

Answer:

[tex] \small \sf \frac{y}{z {}^{ 3}} [/tex]

Step-by-step explanation:

x⁰yz-³

[tex] \small \sf \: 1yz {}^{ - 3} [/tex]

1y +[tex] \small \sf \frac{1}{ z {}^{ 3}} [/tex]

[tex] \small \sf \frac{y}{z {}^{ 3} }[/tex]

Answer:

47 pencil

Step-by-step explanation:

Let x represent the number of pencils that were bought. Since equal number of erasers where also purchased, hence x erasers were purchased.

Cost of pencils = Rs 20 per pencil * x pencils = 20x

Cost of erasers = Rs 4 per eraser * x eraser = 4x

40% profit was made on pencils, hence:

Profit on pencils = 40% of cost price = 0.4 * 20x = 8x

50% profit was made on erasers, hence:

Profit on eraser = 50% of cost price = 0.5 * 4x = 2x

Since the total profit from pencil and eraser was Rs 470, hence:

8x + 2x = 470

10x = 470

x = 47

Therefore he purchased 47 pencil

Answer:

Step-by-step explanation:

here x1=9  y1=8  x2=3  y2=5

midpoint=(x2+x1/2   ,   y2+y1/2)

=(3+9/2  ,    5+8/2)

=(12/2    ,     13/2)

=(6   ,    13/2)            

Answer:

smaller number = 15

Step-by-step explanation:

Let the two numbers be 5x and 3x respectively.

According to the question —

5x — 3x = 10

2x = 10

x = 5

Thus the smaller number is 3 × 5 = 15

Answer:

15?

Step-by-step explanation:

Sorry I'm not entirely sure that is correct but I hope it helped!

Answer:

y = (x - 2)² - 9    Vertex form

y = x² - 4x - 5   Standard form

Step-by-step explanation:

vertex = (h, k) = (2, -9)

Vertex form

y = a(x - h)² + k

y = a(x - 2)² - 9

find "a" using point (5, 0)

0 = a(5 - 2)² - 9

0 = a(3)² - 9

0 = 9a - 9

9 = 9a

a = 1

y = (x - 2)² - 9

Standard form

y = (x² - 4x + 4)  - 9

y = x² - 4x - 5

Answer:

12

Step-by-step explanation:

Answer:

12............................

Step-by-step explanation:

Answer:

The answer that is C

Step-by-step explanation:

The equation would be y=1/2x + 8 because the line touches the y-intercept at +8. The others would be incorrect as the line does not increase by a slop of 8/1 and/or is the y-intercept at -8.

the noun press itself is already a noun. though the word can also be expressed as a verb, (for example: he pressed his face against the glass) it can also be a noun (for example: the incident was not reported to the press).

hope this helps. :)

have a great day! stay safe, happy, and healthy!

Answer:

4x -51

Step-by-step explanation:

m(x) = 4x - 11

n(x) = x - 10

m[n(x)] =  Replace n(x) for x in the function m(x)

             = 4 (x-10) - 11

              = 4x - 40 -11

              = 4x -51

Answer:

-2 5/9

Step-by-step explanation:

w + (-x) - 2/3

Let w = -5/9  and x = 4/3

-5/9  - 4/3 - 2/3

Get a common denominator

-5/9  -4/3*3/3  -2/3*3/3

-5/9  -12/9  -6/9

Add

-23/9

Change to a mixed number

-2 5/9

Answer:

35 yards

Step-by-step explanation:

The formula for an area of a trapezium or trapezoid is h(a+b)/2. H is the height, and a and b are the the two opposite sides. With substitution, we get 5(6+8)2 = 70/2 = 35

Answer:

35 yd²

Step-by-step explanation:

First, you need to find the remaining side:

You need to find the bottom side of the triangle: 8-6=2 yd

Let's calculate the area of the triangle:

[tex]\frac{5*2}{2} =5[/tex] yd²

Let's calculate the area of the rectangle:

6*5 = 30 yd²

Total area: 30+5 = 35 yd²

Answer:

$165

Step-by-step explanation:

10%=$15

Answer:

Gail going to pay $165 for his new camera.

Step-by-step explanation:

10% Sales tax+Camera Price=$165

Answers:

[tex]x = 5\sqrt{3}[/tex]

[tex]y = 10[/tex]

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

Explanation:

This is a 30-60-90 triangle. The short leg 5 is opposite the smallest angle 30 degrees.

The long leg is sqrt(3) times that of the short leg, which explains why x = 5*sqrt(3).

The hypotenuse is twice as long compared the short leg, so y = 2*5 = 10.

You could use trig ratios and the unit circle as another way to find x and y.

Answer:

20023002

Step-by-step explanation:

becease i nee d answers please ignore

Lines parallel to each others only occur when two slopes of equations are same. The definition of parallel lines is:

[tex] \large \boxed{m_1 = m_2}[/tex]

We are given the equation of a line which is x = -2. For x = a, the equation forms a verical line and has an undefined slope. These below are basic that you may need to learn when learning about the line graph:

Back to the question. We want to find the equation of a line that is parallel to the line x = -2 and passes through (5,4) point. Recall the definition of parallel line that both slopes of equations must equal. Since x = a for any a-values would give an undefined slope. That means our parallel would be x = b.

Because the line passes through (5,4) - for any a-values from x = a would give out the set of all real numbers for range. Therefore the equation of a line is x = 5.

Answer

I hope this helps! If you have any doubts or questions, don't hestitate to ask in comment! Good luck on your assignment and have a great day!