y power of 2 +9y+ 18

Subtracting 10 from the original equation will shift the graph down 10 units

The answer is D.

The domain exists on all real numbers i.e {x∈R}∈

The range exists all on real numbers except at y = 0

Domains are all input values of a function for which the function exists while ranges are all the output values for which the function exists.

Since the x-intercept of a function exists at where y = 0, this means that the point where a function does not have any x-intercepts are all other points on the graph except at y = 0.

The following statements are therefore true;

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Answer:

-[tex]x^{2} + 3x -8 = 0[/tex]

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

If she's looking for the least number per box she wants the greatest common factor of both numbers.

The GCF of 30 and 48  is 6.

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Answer:

  C)  462

Step-by-step explanation:

The presenters can be chosen 11C6 = 462 different ways.

__

If the teacher were concerned about the order of the presentations, the number of possibilities goes up to 11P6 = 332,640 different ways.

Step-by-step explanation:

Substitute the values of a and b into [a-b]2

= [-5-(-2)]2

= [-5+2]2

= [-3]2

= -6

Answer:

Reflection

Step-by-step explanation:

It is the opposite of the first,...

Answer:

45/27=30/18=x/24

x = 30×24/18

or, x = 40

Answer:

? = 40

Step-by-step explanation:

Since the polygons are similar then the corresponding sides are in proportion, that is

[tex]\frac{?}{24}[/tex] = [tex]\frac{?}{24}[/tex] = [tex]\frac{30}{18}[/tex] ( cross- multiply )

18 ? = 720 ( divide both sides by 18 )

? = 40

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Answer:

  5.99%

Step-by-step explanation:

The relationship between the effective annual yield (e) and the nominal annual interest rate (r) compounded n times per year is ...

  e = (1 +r/n)^n -1

For r = 5.9% and n = 2, the effective rate is ...

  e = (1 +0.059/2)^2 -1 = 0.059870 ≈ 5.99%

Answer:

kkkkkkkllllll

Step-by-step explanation:

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Answer:

B. 7854.0 cm2

The area of a circle is given by A= π [tex]r^{2}[/tex] where r is the radius

So A= π[tex]50^{2}[/tex] = 7854.0 cm2

Answer:

296                                                    

We start by multiplying 6 times 46, since the first 4 terms are already listed. We then add the product, 276, to the last listed term, 20. This gives us our answer of 296.

There is no any image of rectangle

Answer:

Fraction form: 7/-13

Decimal form:-0.53846153846154

[tex]\\ \sf\longmapsto XY+YZ=XZ[/tex]

[tex]\\ \sf\longmapsto 7a+5a=6a+24[/tex]

[tex]\\ \sf\longmapsto 12a=6a+24[/tex]

[tex]\\ \sf\longmapsto 12a-6a=24[/tex]

[tex]\\ \sf\longmapsto 6a=24[/tex]

[tex]\\ \sf\longmapsto a=\dfrac{24}{6}[/tex]

[tex]\\ \sf\longmapsto a=5[/tex]

Value of a is 4 and value of YZ is 20 units

Step-by-step explanation:

Given:

Y is between point X and Z

Value of line XY = 7a

Value of line YZ = 5a

Value of line XZ = 6a + 24

Find:

Value of "a" and line YZ

Computation:

We know that

XY + YZ = XZ

So,

7a + 5a = 6a + 24

12a = 6a + 24

6a = 24

a = 4

Value of a = 4

So,

Value of line YZ = 5a

By putting value of a

Value of line YZ = 5(4)

Value of line YZ = 20 units

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Answer:

B. y = -2/3x + 12

Step-by-step explanation:

Formula to find the slope when given two points on a line:

y2 - y1

x2 - x1

Substitute the two given points (6, 8) (9, 6):

6 - 8

9 - 6

Slope = -2/3x

We found the slope! And the answer choices already gave us one y-intercept, which is 12. The last thing we do is we form an equation with the information we solved and that was given to us.

y = slope (x) + y-intercept

y = -2/3x + 12

The answer choice that matches this equation is B.

In conclusion, the equation that best estimates the line of best fit shown above is answer choice B.

An equation of a line with given coordinates is y= -2/3 x+12. Therefore, option B is the correct answer.

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

From the given graph, the coordinate points are (6, 8) and (9, 6).

We know that, the formula to find the slope of a line is slope = (y₂-y₁)/(x₂-x₁).

Here, slope = (6-8)/(9-6)

= -2/3

Substitute m=-2/3 and (x, y)=(6, 8) in y=mx+c, we get

8=-2/3 (6)+c

8=-4+c

c=12

So, equation of a line is y= -2/3 x+12

Therefore, option B is the correct answer.

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Answer:

  4 cm

Step-by-step explanation:

The area of the triangle is half the area of the rectangle. The base of the triangle is the diameter of the circle, 14 cm. So the height is found from ...

  A = 1/2bh

  (56 cm²)/2 = 1/2(14 cm)h

  h = (28 cm²)/(7 cm) = 4 cm

The height of triangle ADC is 4 cm.

Answer:

sin = opp/hyp

cos = adj/hyp

tan = opp/adj

Answer:

Since they are supplementary, they add up to 180 degrees. Since one is 38 degrees more than the other, you can use the equation x + (x+36) = 180 to find both angles

Step-by-step explanation:

Answer:

x = 1/2 or 0.5

Step-by-step explanation:

8(-2x + 1) = 0

Distribute the 8 by multiplying 8 by what's inside of the parenthesis (-2x and 1)

8 * -2x = -16x

8 * 1 = 8

We now have

-16x + 8 = 0

Subtract 8 from both sides

-16x + 8 - 8 = 0 - 8

-16x = -8

Divide both sides by -16

-16x/-16 = -8/-16

x = 1/2

8( -2x + 1 ) = 0

Simplify the left hand side

Transposing -16x to the other side

Cross multiplying we get

Hence the value of x is 0.5 or ½

Answer:

Step-by-step explanation:

The 15 cm by 15 cm piece of cardboard area = 225 cm².

A cube has six congruent faces. If each edge is 5 cm, the surface area is 6×5² = 150 cm². So there is enough cardboard to make a cube, but not by folding. You'd have to do some cutting and taping.

Answer:

0.03

Step-by-step explanation:

Answer:

Step-by-step explanation:

speed is calculated using formula v=d/t

m= 7.5m

t= 3 min

v=?

v= 7.5m/3min

v= 2.5m/min

Answer:

Step-by-step explanation:

rectangular prism=lwh

cylinder=πr²h

cone=1/3 πr²h

sphere=4/3 πr³

Step-by-step explanation:

distance of (1,0) from the origin is,

√{(1-0)²+(0-0)²}

= √1

= 1

So the radius of the circle is 1,

now for the point (2/5,y) distance from origin should be the same since it's the radius

so,

√{(2/5-0)²+(y-0)²} = 1

or, √(4/25+y²)=1

or, 4/25+y²=1

or, y² = 1-4/25

or, y²=21/25

or, y=√(21/25)

or, y=√21/5

so, the simplest form of y is,

[tex] \frac{ \sqrt{21} }{5} [/tex]

Let a be the first term and d the common difference between consecutive terms. Then the next few terms in the sequence are

a + d

a + 2d

a + 3d

and so on, up to the k-th term

a + (k - 1) d

The sum of the first n terms of this sequence is

[tex]\displaystyle S_n = \sum_{k=1}^n(a+(k-1)d) = 12n-2n^2[/tex]

Expanding the sum, we have

[tex]\displaystyle S_n = \sum_{k=1}^n (a+(k-1)d) \\\\ S_n = \sum_{k=1}^n(a-d+dk) \\\\ S_n = (a-d)\sum_{k=1}^n1+d\sum_{k=1}^nk \\\\ S_n = (a-d)n+\frac{d}2n(n+1) \\\\ S_n = (a-d)n+\frac{d}2(n^2+n) \\\\ S_n = \left(a-\frac{d}2\right)n+\frac{d}2n^2[/tex]

It follows that

a - d/2 = 12

d/2 = -2

Solve these equations for a and d.

d/2 = -2   ==>   d = -4

a - d/2 = a + 2 = 12   ==>   a = 10

So the sequence is

10, 6, 2, -2, -6, -10, -14, …

The unit rate will be "23.5 miles/gallon". In the below segment, a further solution to the given question is provided.

Given values in the question are:

Total distance,

= 188 miles

Total gas used,

= 8

Now,

⇒ The rate of gas consumption will be:

= [tex]\frac{Total \ distance}{Total \ gas \ used}[/tex]

By putting the given values in the above formula, we get

= [tex]\frac{188}{8}[/tex]

= [tex]23.5 \ miles/gallon[/tex]

Thus the above is the appropriate solution.

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Answer:

-4/5

Step-by-step explanation:

The slope of the line is m=(4-8)/(2-(-3))=-4/5