Use intercepts to graph the linear equation -2x+6y=18 .

Answer:

Step-by-step explanation:

Given:

Find (f + g)(x):

Correct choice is C

[tex]\\ \tt\longmapsto (f+g)(x)=f(x)+g(x)[/tex]

[tex]\\ \tt\longmapsto \dfrac{x-6}{2}+4x^2+x-4[/tex]

[tex]\\ \tt\longmapsto \dfrac{x-6+8x^2+2x-8}{2}[/tex]

[tex]\\ \tt\longmapsto \dfrac{8x^2+3x-14}{2}[/tex]

[tex]\\ \tt\longmapsto 4x^2+\dfrac{3}{2}x-7[/tex]

Answer:

Example 1) sin(42) ×25=16.73

Example 2) 12÷tan(75)=3.22

Example 3) 19÷cos(36)=23.49

Example 4) tan(53)×7=9.29

Answer:

B

Step-by-step explanation:

From inspection of the box plot:

The median is the middle number in a sorted (ascending or descending) list of numbers.  All the numbers in each data set. are sorted in ascending order.  Data sets C and D have medians of 30, so we can discount them.

The maximum value on the box plot is 34.  Therefore, we can discount option A, since its max value is 35.  

Therefore, the answer is option B.

Futher checking with quartiles:

The lower quartile is the value at the first quarter.  As there are 9 values per data set, the lower quartile will be the mean of the 2nd and 3rd values.

The upper quartile is the value which is three quarters of the way into the data set.  As there are 9 values per data set, the upper lower quartile will be the mean of the 7th and 8th values.

Option B

lower quartile = (25 + 29)/2 = 27

upper quartile = (32 + 34)/2 = 33

This confirms that Option B is the final solution.

Answer:

yup it is ...

x²-2x = -6+2x

=> x²-4x +6

By expanding the equation, we can see that it is quadratic.

A quadratic equation is any polynomial of degree 2.

Here we have:

x^2 - 2x = (-2)*(3 - x)

Expanding this we get:

x^2 - 2x = -6 + 2x

Moving all to the same side:

x^2 - 2x - 2x + 6 = 0

x^2 - 4x + 6 = 0

This is a polynomial of degree 2, so this is a quadratic equation.

If you want to learn more about quadratic equations, you can read:

https://brainly.com/question/1214333

Answer:

The sum of the three mixed numbers is 11 and 9.5/16.

Step-by-step explanation:

5 and 13/16

2 and 1/8 = 2 and 0.5/16

3 and 3/4 = 3 and 12/16

10 and 25.5/16

11 and 9.5/16

Answer:

[tex]11\frac{11}{16\\} \\[/tex]

Step-by-step explanation:

Separate fractions and whole numbers

5 2 3   13/16 1/8 3/4

Add whole numbers and fractions (where the denominator is 16)

5+2+3=1                    

13/16+1/8+3/4 =

13/16+2/16+12/6=

27/16 =

[tex]1\frac{11}{16\\} \\[/tex]

27/16+10 = [tex]11\frac{11}{16\\}[/tex]

Answer:

200

Step-by-step explanation:

Surface are of cube = 6a^2

Answer:

The x -intercept is (3, 0)

The y -intercept is (0, - 2)

Step-by-step explanation:

Given equation is: -6x + 9y = -18

To find x - intercept:

Plug y = 0 in the given equation.

-6x + 9(0) = - 18

-6x + 0 = -18

-6x = - 18

x = (-18)/(-6)

x = 3

The x -intercept is (3, 0)

To find y - intercept:

Plug x = 0 in the given equation.

-6(0) + 9y= - 18

0 + 9y = -18

9y = - 18

y = (-18)/(9)

y = - 2

The y -intercept is (0, - 2)

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

Explanation:

In a standard deck, there are 52 cards.

If this deck is missing the queen of hearts and 2 of clubs, then we really have 52-2 = 50 cards in the deck.

There are 4 aces and 13 spades. Those values add to 4+13 = 17, but we need to subtract off 1 to account for the ace of spades counted twice. We have 17-1 = 16 cards that are either an ace, a spade, or both.

Or you can think of it like saying 13 spades + 1 ace of hearts + 1 ace of diamonds + 1 ace of clubs = 16 cards total.

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

The event space has A = 16 cards in it, while the sample space has B = 50 cards.

The probability we're after is A/B = 16/50 = 8/25

Answer:

[tex]6 \frac{5}{12} \: {ft}^{2} [/tex]

Step-by-step explanation:

[tex]area \: of \: rectangle = length \times width \\ \\ = 1 \frac{1}{6} \times 5 \frac{1}{2} \\ \\ = \frac{7}{6} \times \frac{11}{2} \\ \\ = \frac{77}{12} \\ \\ = 6 \frac{5}{12} \: {ft}^{2} [/tex]

Answer:

ABCD is the quadrilateral

Answer:

Yes, it is a right triangle. The distance is 6,2.

Step-by-step explanation:

The square of 15 is 225, and the square of 12 is 144. The square of 9 is 81. 144 + 81 = 225, so it's a right triangle.

Answer:

See Below

Step-by-step explanation:

For each of these, you just replace x with what's in the parenthesis.

f(-2) = 4(-2)^2 - 2(-2) + 1

f(-2) = 16 + 4 + 1

f(-2) = 21

g(5) = [tex]\sqrt{4(5) - 16}[/tex]

g(5) = [tex]\sqrt{20-16}[/tex]

g(5) = [tex]\sqrt{4}[/tex]

g(5) = 2

f(3r) = 4(3r)^2 - 2(3r) + 1

f(3r) = 4(9r^2) - 6r + 1

f(3r) = 36r^2 - 6r + 1

f(a+b) = 4(a+b)^2 - 2(a+b) +1

f(a+b) = 4 (a^2 + 2ab + b^2) - 2a - 2b + 1

f(a+b) = 4a^2 + 8ab + 4b^2 - 2a - 2b + 1

Answer:

expression am I write please say yes omg am wrong

Answer:

She needs to cut the log 11 times

Step-by-step explanation:

hope that helps!!!

There are 11 cuts are necessary for equally spaced cuts.

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

Susan wants to cut a log into 12 pieces with equally spaced cuts.

Hence, To cut 12 pieces with equally spaced cuts, number of cuts are,

⇒ 12 - 1

⇒ 11

Thus, There are 11 cuts are necessary for equally spaced cuts.

Learn more about the subtraction visit:

brainly.com/question/17301989

#SPJ2

Answer:

[tex]x = \frac{1}{3} [/tex]

or x = 0.33

Step-by-step explanation:

[tex] {5}^{3x} - {5}^{3x - 1} = 4 \\ \\ \implies{5}^{3x} - {5}^{3x} . {5}^{ - 1} = 4 \\ \\ \implies{5}^{3x}(1 - {5}^{ - 1} )= 4 \\ \\ \implies{5}^{3x} \bigg(1 - \frac{1}{5} \bigg)= 4 \\ \\ \implies{5}^{3x} \bigg(\frac{5 - 1}{5} \bigg)= 4 \\ \\ \implies{5}^{3x} \times \frac{4}{5} = 4 \\ \\ \implies{5}^{3x} = 4 \times\frac{5}{4} \\ \\ \implies{5}^{3x} =5 \\ \\ \implies \: 3x = 1 \\ \\ \huge \implies \: x = \frac{1}{3} \\\\ \huge \implies \: x = 0.33[/tex]

Answer:

Step-by-step explanation:

10 cubes ÷2 stacks = 5, so in each stack 5.

one stack has 5

Second stack has 4 more cubes than the other. (5+4=9)

So the answer is 5 and 9

The number of cubes is 3 and 7 in two stacks consisting of 10 stacks total.

Suppose Ebony has 'x' cubes in one stack

So, the number of cubes in another stack =x+4

A cube is a solid having all three dimensions i.e. length, breadth, and height equal to each other.

According to the question,

Total number of cubes = 10

x+(x+4) = 10

2x+4 =10

2x=6

x=3

So, Ebony has 3 cubes in one stack

Number of cubes in another stack =3+4 =7cubes

Therefore, The number of cubes is 3 and 7 in two stacks consisting of 10 stacks total.

To get more about cubes visit:

https://brainly.com/question/1972490

Answer:

[tex]4x^{9} y^{8} \sqrt{5y}[/tex]

Step-by-step explanation:

Answer:

[tex]cos\theta=\frac{3}{5}[/tex]

Step-by-step explanation:

Since [tex]sin\theta=0.8[/tex] is the same as [tex]sin\theta=\frac{4}{5}[/tex] and [tex]sin\theta=\frac{opposite}{hypotenuse}[/tex], then we know that the side opposite to the angle [tex]\theta[/tex] is 4 units and the hypotenuse is 5 units.

Because [tex]cos\theta=\frac{adjacent}{hypotenuse}[/tex], then we have to find the adjacent side to the angle [tex]\theta[/tex] using the Pythagorean Theorem:

[tex]a^2+b^2=c^2\\\\(adjacent)^2+(opposite)^2=(hypotenuse)^2\\\\(adjacent)^2+4^2=5^2\\\\(adjacent)^2+16=25\\\\(adjacent)^2=9\\\\adjacent=3[/tex]

Therefore, since the adjacent side is 3 units, then [tex]cos\theta=\frac{3}{5}[/tex]

Answer:

8/10 > 5/8

Step-by-step explanation:

8/10 > 5/8

Hope this helps!

Answer:

125

Step-by-step explanation:

[tex] \huge \: {8}^{ log_{2}(5) } \\ \\ \huge \: = { {2}^{3} }^{ log_{2}(5) } \\ \\ \huge \: = { {2}}^{ log_{2}(5)^{3} } \\ \\\huge \: ={ {2}}^{ log_{2}(125 )} \\ \\ \huge \: = 125 \: \: ( \because \: {a}^{ log_{a}(x)} =x)[/tex]

Answer:

[tex]f^-1 (x) = \sqrt[3]{x - 8}[/tex]

Step-by-step explanation:

Custom file created rather than math ML for neatness.