The ratio of sweaters to dresses that Susan has is 7:2. If Susan has 14 dresses then how many sweaters does she have?

Zeros of the given equation are {-2, 3, (-1±i√3)/2}

As the last term is -6 then, ± 2 , ±3 are possible zeroes.

Try 2:-

[tex]2^4-6*(2)^2-7*2-6=-28[/tex] so  2 is not a zero.

Try 3:-

[tex]3^4-6*(3)^2-7*3-6=0[/tex]  so 3 is a zero.

[tex](-2)^4-6*(-2)^2-7*(-2)-6=0[/tex]  so -2 is also a zero.

Divide the function by (x +2)(x - 3),  that is  [tex]x^2 - x - 6[/tex]

gives  [tex]x^2 + x + 1[/tex]

[tex]x^2 + x + 1[/tex]

So we have [tex]x^2 + x + 1 = 0[/tex]

[tex]x = [-1 +\sqrt{1^1 - 4*1*1}] / 2[/tex]

= -1 + √(-3) / 2 , - 1 - √(-3)  / 2.

= -0.5 + 0.866i, -0.5 - 0.866i

In mathematics, the number that results in the original number when multiplied by itself is called the root.

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Answer:

40%

Step-by-step explanation:

50/125×100%

=40%

Mr Smith has covered 40 percent of the journey

Answer:

40%

Step-by-step explanation:

50/125 ×100= 40%

Answer:

x = 45

Step-by-step explanation:

2x + 6 and 96 are vertically opposite angles and are congruent , then equation is

2x + 6 = 96 ( subtract 6 from both sides )

2x = 90 ( divide both sides by 2 )

x = 45

Answer:

(1, -4), (4, -1)

Step-by-step explanation:

A solution to a system of equations is when the two lines intersect. In this case, we have two intersections, which means two solutions.

From left to right, we first see an intersection at (1, -4).

Continuing to the right, we see another intersection at (4, -1)

These are our two solutions.

(1, -4), (4, -1)

Hope this helps!

Answer:

A

Step-by-step explanation:

If the dice are fair and 6 sided then you can roll a 4 in three ways

2    2

1     3

3    1

The total number of ways you can throw two 6 sided dice is 6 * 6 or 36

So P(4) = 3/36 = 1/12

Given:

The fractions are:

[tex]\dfrac{6}{5},\dfrac{11}{7},\dfrac{21}{4}[/tex]

To find:

The each fraction as the sum of a whole number and a fraction less than 1.

Solution:

The given fraction is [tex]\dfrac{6}{5}[/tex].

[tex]\dfrac{6}{5}=\dfrac{5+1}{5}[/tex]

[tex]\dfrac{6}{5}=\dfrac{5}{5}+\dfrac{1}{5}[/tex]

[tex]\dfrac{6}{5}=1+\dfrac{1}{5}[/tex]

Therefore, the given fraction [tex]\dfrac{6}{5}[/tex] can be written as [tex]1+\dfrac{1}{5}[/tex].

The given fraction is [tex]\dfrac{11}{7}[/tex].

[tex]\dfrac{11}{7}=\dfrac{7+4}{7}[/tex]

[tex]\dfrac{11}{7}=\dfrac{7}{7}+\dfrac{4}{7}[/tex]

[tex]\dfrac{11}{7}=1+\dfrac{4}{7}[/tex]

Therefore, the given fraction [tex]\dfrac{11}{7}[/tex] can be written as [tex]1+\dfrac{4}{7}[/tex].

The given fraction is [tex]\dfrac{21}{4}[/tex].

[tex]\dfrac{21}{4}=\dfrac{20+1}{4}[/tex]

[tex]\dfrac{21}{4}=\dfrac{20}{4}+\dfrac{1}{4}[/tex]

[tex]\dfrac{21}{4}=5+\dfrac{1}{4}[/tex]

Therefore, the given fraction [tex]\dfrac{21}{4}[/tex] can be written as [tex]5+\dfrac{1}{4}[/tex].

Answer: y=6x+8

Step-by-step explanation:

slope intercept form: y= mx+b

slope(m)= (y2-y1) / (x2-x1)

using the first two columns, we get:

(14-8)/(1-0) = 6/1= 6

to find b: find the y value where x=0

that gives us b=8

therefore, if we plug in m and b into the slope intercept form, we get

y = 6x + 8

Answer: y=6x+8

Step-by-step explanation:

the formula for volume of sphere is 4/3||r^3

diameter=2radius

in the formula we need to have radius but we have been given diameter so we convert diameter to radius

d=2r

r=d/2

9.5÷2

4.75

Answer:

y -7 = -4(x + 2)   (Answer D)

Step-by-step explanation:

The general point-slope equation is y - k = m(x - h)

If the slope, m, is -4, and the point is (h, k) with h = -2 and k = 7), then we have in this case

y -7 = -4(x + 2)   (Answer D)

Not necessary when solving this system of equations by graphing is

to determine the shaded area for each line. The correct option is C.

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

We graph both equations in the same coordinate system in order to visually solve a system of linear equations. The intersection of the two lines is where the system's answer will be found. The point where the two lines join is (-3, -4), which is where this equation system's solution lies.

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Answer:

a) about 39.5%

sorry if it wrong im not sure tho

Step-by-step explanation:

Answer:

40.5

I hope u get a good mark glll

Step-by-step explanation:

Answer:

24 patterns

Step-by-step explanation:

Given that four lettered patterns are to be formed using the three alphabets. Since letters may be repeated, then;

4[tex]P_{3}[/tex] = [tex]\frac{4!}{(4 - 3)!}[/tex]

      = [tex]\frac{4 x 3 x 2!}{1!}[/tex]

     = 4 x 3 x 2

     = 24

4[tex]P_{3}[/tex] = 24

Therefore, 24 four letter patterns can be formed when the given letters are repeated.

Answer:

about 75.36

Step-by-step explanation:

we know the radius of the base (circle) is 2 since 4/2 is 2.

Area of cylinder is height times area of base

6*4π=24π

You round π as 3.14

so 3.14*24= 75.36

Answer:

[tex] 75.4 \: {cm}^{3} [/tex]

Step-by-step explanation:

Height of the cylinder h = 6 cm

Diameter d = 4 cm

Radius r = 4/2 = 2 cm

[tex]V_{cylinder} = \pi {r}^{2} h \\ \\ = 3.14 \times {(2)}^{2} \times 6 \\ \\ = 3.14 \times 4 \times 6 \\ \\ = 3.14 \times 24 \\ \\ = 75.36 \\ \\ = 75.4 \: {cm}^{3} [/tex]

Answer:

Last option, 81.

Step-by-step explanation:

Evaluate, [tex]\frac{(-3)^{7}(-3)^{2} }{\ (-3)^{5} }[/tex]

[tex]\frac{(-3)^{7}(-3)^{2} }{\ (-3)^{5} }[/tex] => [tex]\frac{(-3)^{7+2} }{\ (-3)^{5} }[/tex] => [tex]\frac{(-3)^{9} }{\ (-3)^{5} }[/tex] => [tex](-3)^{9-5}[/tex] => [tex](-3)^{4}[/tex] => [tex](-3)(-3)(-3)(-3)[/tex] => [tex]81[/tex]

Answer:

  See attached

Step-by-step explanation:

You want various combinations of the functions g(a) = -3a+1 and h(a) = 3a³ +4a.

The functions have no common factors, so their ratio leaves the function expressions unchanged:

  [tex]\dfrac{g(a)}{h(a)}=\boxed{\dfrac{-3a+1}{3a^3+4a}}[/tex]

The like terms are combined when the functions are added.

  [tex]h(a)+g(a)=(3a^3+4a)+(-3a+1)=3a^3+(4-3)a+1\\\\=\boxed{3a^3+a+1}[/tex]

Similarly, the like terms are combined when the functions are subtracted.

  [tex]g(a)-h(a)=(-3a+1)-(3a^3+4a)=-3a^3+(-3-4)a+1\\\\=\boxed{-3a^3-7a+1}[/tex]

The product is found the way products are usually found. Each term of one of the factors is multiplied by each term of the other factor, and these products are summed. You can think of it as repeated application of the distributive property.

  [tex]g(a)\cdot h(a)=(-3a+1)(3a^3+4a)=-3a(3a^3+4a)+1(3a^3+4a)\\\\=-9a^4-12a^2+3a^3+4a\\\\=\boxed{-9a^4+3a^3-12a^2+4a}[/tex]

Answer:

The expression 56 with a variable of -1 is not well defined. The term 56 is a constant number, and the variable of -1 is also a constant. Therefore there is nothing to evaluate.

Step-by-step explanation:

If you want to evaluate the expression 56*(-1) it would give -56 as output because -1 is a scalar and multiplying with a scalar will change the sign of the constant 56 but it won't change its value.

In other words, to evaluate an expression, it needs to have a mathematical operation or function, operands, and/or variables that can be replaced with values or expressions. Without any operation, there's nothing to evaluate.

Answer:

J is the answer ............

Answer:

The answer is G.

Step-by-step explanation:

Answer:

The domain is the set of numbers that the x value can be.

In an equation like  the domain is all real numbers because x can be any number.

In the case of , any x value that is less than or equal to -4 will not work because you would be taking the square root of a negative number, which doesn't work unless you're graphing on a complex plane, which I assume you aren't.

Thus, the domain is

I hope that helps!

Step-by-step explanation:

Answer:

the value of x that will make A||B is 4

The blank spaces of the statement coefficient: The number in BLANK of the variable within the BLANK BLANK are, front, addition, subtraction.

A quantity or number that is combined with a variable is known as a coefficient. The variable is often multiplied by an integer, which is then printed next to it.

Terms that have the same variables raised to the same power are referred to as like terms. The only difference is in the numerical coefficients.

We know a coefficient is a constant value combined with a variable.

For example, In 7x the coefficient of x is 7.

Given, A fill-in-the-blank statement,

coefficient: The number in BLANK of the variable within the BLANK BLANK.

Therefore,

coefficient: The number in front of the variable within the addition subtraction.

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Complete question :

Birth Month Frequency

January-March 67

April-June 56

July-September 30

October-December 37

Answer:

Yes, There is significant evidence to conclude that hockey​ players' birthdates are not uniformly distributed throughout the​ year.

Step-by-step explanation:

Observed value, O

Mean value, E

The test statistic :

χ² = (O - E)² / E

E = Σx / n = (67+56+30+37)/4 = 47.5

χ² = ((67-47.5)^2 /47.5) + ((56-47.5)^2 /47.5) + ((30-47.5)^2/47.5) + ((37-47.5)^2/47.5) = 18.295

Degree of freedom = (Number of categories - 1) = 4 - 1 = 3

Using the Pvalue from Chisquare calculator :

χ² (18.295 ; df = 3) = 0.00038

Since the obtained Pvalue is so small ;

P < α ; We reject H0 and conclude that there is significant evidence to suggest that hockey​ players' birthdates are not uniformly distributed throughout the​ year.

Answer:

approx 506.52

Step-by-step explanation:

Rectangle: 21 x 12 =252

Half circle = 1/2 (3.14)(6^2) = 56.52

Trapezoid: 6 (33 +33) = 198

add all of them together

Answer:

Step-by-step explanation:

Semi-circle:

Trapezoid:

Rectangle:

Area of the shape:

Therefore , the solution of the given problem of area comes out to be

r = 8.

The term "area" describes the amount of space occupied by a 2D form or surface. We use cm2 or m2 as our units for measuring area. A shape's area is determined by dividing its length by its breadth.

Here,

A 90 degree sector occupies 1/4 of a circle, which has 360 degrees. Consequently, the area of the whole circle can be written as

Sector Size/Sector Area = Circle Area/360

16 ft2/90 = n/360

(360) (16 ft2)/90 = n

(4)(16 ft2) = n

The total size of the circle is n = 64 ft2.

Since Area of a Circle equals r2,

∏r2 = 64

r2 = 64/∏

r = √(64/∏)

We multiply by / to get by rationalizing the denominator.

r = √(64∏)/√(∏2) Then using the denominator's square root, we can obtain the solution of

r = √(64∏)/∏

r = 8

Therefore , the solution of the given problem of area comes out to be

r = 8.

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