Which expression can be used to determine the slope of the linear function represented in the table?

0
5
4
9
a. StartFraction 9 minus 5 Over 4 minus 0 EndFraction
b. StartFraction 4 minus 0 Over 9 minus 5 EndFraction
c. StartFraction 5 minus 0 Over 9 minus 4 EndFraction
d. StartFraction 9 minus 4 Over 5 minus 0 EndFraction
Group of answer choices

d

c

a

b

Answer: 1

Step-by-step explanation:

4^(-1) / 4^(-1)=

1/4 / 1/4=

1/4 * 4/1=      ==> Dividing by a number is basically multiplying its reciprocal

1*4/(4*1)=

4/4=1

Answer:

∠ EBF = 16°

Step-by-step explanation:

note that EB is the angle bisector of ∠ ABF , then

∠ ABE = ∠ EBF = 2x and

∠ ABF = ∠ ABE + ∠ EBF , that is

7b - 24 = 2b + 2b

7b - 24 = 4b ( subtract 4b from both sides )

3b - 24 = 0 ( add 24 to both sides )

3b = 24 ( divide both sides by 3 )

b = 8

Then

∠ EBF = 2x = 2(8) = 16°

Answer:

7.6. Good luck

Answer:

slope = - [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 1) and (x₂, y₂ ) = (2, - 1)

m = [tex]\frac{-1-1}{2-(-2)}[/tex] = [tex]\frac{-2}{2+2}[/tex] = [tex]\frac{-2}{4}[/tex] = - [tex]\frac{1}{2}[/tex]

Answer: 4,500+50g=6,000

Step-by-step explanation:

Answer:

63%

Step-by-step explanation:

To write a decimal as a percentage, you simply multiply it by 100. 0.63 * 100 is 63, so your final answer would be 63%.

FINAL ANSWER: 63%

Step-by-step explanation:

6×6×6 can be written as 6^3...

Answer:

6^3

Step-by-step explanation:

6 x 6 x 6 is equal to 6^3

Answer:

Step-by-step explanation:

[tex]y=k/x^{2}[/tex]

when y=4, x=5. Therefore:

[tex]4=k/5^2[/tex]

[tex]k=100\\[/tex]

If  [tex]k=100, x=10 \\[/tex]

then [tex]y=100/10^2[/tex]

y=1

Answer:

The value of x when y = 9 is x = 2 or x = -2

Step-by-step explanation:

Given that value of y varies inversely as the square of x, and y=4, when x=3.

Therefore the initial statement is:

[tex]y x \frac{1}{x^{2} }[/tex]

Answer:

Step-by-step explanation:

The correct answer is “39916800”. Explanation: No. of mathematics books = 3 No. of Engineering books = 5 No. of history books = 3 Total number of books = 3 + 5 + 3 = 11 Hence, there are 11! ways in which all of these books can be arranged.

I think I may be wrong if someone wants to check this you can

The population mean of the data is 6.

The population has n = 16 scores.

The sum of all of the scores is equal to 96.

Therefore, the population mean can be found as follows:

The population mean is the mean or average of all values in the given population.

The population mean is represented mathematically as follows:

population mean = sum of terms / number of terms

Therefore,

sum of terms = 96

number of terms = 16

Hence,

population mean =  = 96 / 16

population mean =  6

Therefore, the population mean of the data is 6.

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Answer: E: Infinitely many solutions

Step-by-step explanation:

Starting with 5x - 7x + 6, let's combine like terms.

5x - 7x is -2x.

Thus, we have -2x + 6 = -2(x-3)

Using the distributive property for the right side, we multiply -2 * x, and get -2x, and -2 * -3 and get +6.

Now we have -2x + 6 = -2x + 6. We have the same equation here, and know that there is infinitely many solutions here off the bat.

For sake of computations, let's solve and show our work.

Subtracting 6 from both sides, we have -2x = -2x.

Adding 2x to both sides, we get 0 = 0.

Thus, we have infinitely many solutions.

Answer:

Yes

Step-by-step explanation:

If she writes 8 pages a day for 4 days a week, in the first week, she will have already written 32 pages which she would only need one more day.

4 x 8 = 32

32 + 8 = 40

That gives her time to edit and revise :)

Hope this makes sense

Answer:

$6.08

Step-by-step explanation:

16 ounces = 1 pound

4 pounds 12 ounces = 4 12/16 pounds OR 4 ¾ pounds

4¾ ≈ 4.75

4.75 pounds x $1.28 = $6.08

Answer:

4x[tex] \sf {}^{3} [/tex] +80x²+10x+2

Step-by-step explanation:

(x+20)4x²+10x+2

Let's simplify step-by-step.

(x+20)(4)x²+10x+2

Distribute:

=4x[tex] \sf {}^{3} [/tex] +80x²+10x+2

The water level increases by 2 inches each hour.

The points on the graph are given as

(1, 2), (2, 4), and (3, 6)

Next, we calculate the slope of the line, as follows:

Slope = [y2 - y1]/[x2 - x1]

So, we have

Slope = [4 - 2]/[2 - 1]

Evaluate the quotient

Slope = 2

The above means that, the water level increases by 2 inches each hour.

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The solution of the system of linear equations behind the geometric system is (x, z) = (29, 13). The measures of the angles RIG and ZIM are 59° and 140°, respectively.

In this problem we find a geometric system generated by lines GZ, AM and IR, in which two variables are shown (x, z) and whose values can be found by applying the concepts of complementary and supplementary angles.

A group of angles are complementary if the sum of their measures equals 90°, and supplementary if that sum equals 180°. This system can be represented by the following system of linear equations:

(3 · x - 56) + 90 + (4 · z + 7) = 180       (1)

(4 · z + 7) + (x + 2) = 90                        (2)

By (1):

(3 · x - 56) + (4 · z + 7) = 90

3 · x + 4 · z - 49 = 90

3 · x + 4 · z = 139                                  (1b)

By (2):

x + 4 · z = 81                                         (2b)

The solution of the system of linear equations behind the geometric system is (x, z) = (29, 13).

Then, the measures of the angles RIG and ZIM are, respectively:

m ∠ RIG = 4 · z + 7

m ∠ RIG = 4 · 13 + 7

m ∠ RIG = 59°

m ∠ ZIM = 360° - (3 · x - 56) - 90° - (4 · z + 7) + (x + 2)

m ∠ ZIM = 360 - 3 · 29 - 56 - 90 - 4 · 13 + 7 + 29 + 2

m ∠ ZIM = 140°

The measures of the angles RIG and ZIM are 59° and 140°, respectively.

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First, we'll have to find the radius.

[tex]\large\boxed{\bold{r= \frac{d}{2}}}[/tex]

[tex]r= \frac {6}{2}[/tex]

[tex]r= 3 \ cm[/tex]

Now, we can workout the volume.

Instead of π, we are asked to use 3.

[tex]\large\boxed{\bold{\red \pi \red = \ \red 3}}[/tex]

[tex]\large\boxed{\bold{V= \ \frac{4}{3} \pi {r}^{3}}}[/tex]

Now, substitute the values according to the formula.

[tex]V= \ \frac{4}{3} × 3 × {3}^{3}[/tex]

[tex]\large\boxed{\bold{V= \ 108 \ {cm}^{3}}}[/tex]

The answer is a whole number so you won't have to round off.

Therefore, the volume of the given sphere is 108 cubic centimeters.

Answer:

13

Step-by-step explanation:

The property represented by the expression is the property of zero.

We are given an expression:

(4 y + 1) × 0 = 0

We need to tell which property is this.

The property that is used is called the property of zero. In this, it states that whenever a number is multiplied by 0, the answer or the result will always be zero.

For example: 3 × 0 = 0, 4 × 0 = 0, M × 0 = 0 or P × 0 = 0.

It does not matter whether a constant or a variable is multiplied with it, the result of the multiplication will always be zero.

Therefore, the property represented by the expression is the property of zero.

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Hello,

[tex] \frac{1}{4} \times- \frac{1}{2} = \frac{1 \times (-1)}{4 \times 2} = - \frac{1}{8} [/tex]

Answer:

0.375

Step-by-step explanation:

see above

3396 Tickets would be sold in one year. If 283 tickets are sold each month you need to do 283 (tickets) x 12 (months) and that will get you 3396 Tickets per every 12 months.

The measure of the angle 2 is 122°.

Given that angles 1 and 2 form a linear pair,

angle 1 + angle 2 = 180 degrees         —— (1)

We've also been notified that angle 2 is 6 times the size of angle 1.

That is to say: angle 2 = (2×angle 1) + 6      ———- (2)

Putting the angle 2 value in (1) from (2)

180 = angle 1 + 2×angle 1 + 6

3×angle 1 = 174

1st angle = 58 degrees  ———-(3)

(1) and (3) come from:

angle 2 + 58 = 180

2nd angle = 122 degrees

As a result, angle 2 has a measure of 122 degrees.

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Answer:

5,004,300

Step-by-step explanation:

just copy and paste the one on the bottom 5,004,300

The coordinates of S are (-4,2) .

The sails' center of rotation = Origin (0,0)

Coordinates of S on the top of one of the sails, = (2,4)

The action or process of rotating on or as if on an axis or center.

The center of rotation is a point about which a plane figure rotates. This point does not move during the rotation.

It is given that sails have rotated 270° clockwise.

So, When we rotate a figure of 270 degree clockwise, each point of the given figure has to be changed from (x, y) to (-y, x) and graph the rotated figure.

So, the point  turn (2, 4) into (-4, 2).

Thus, the coordinates of S are (-4,2).

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Answer:

<E

Step-by-step explanation:

The points need to be in order.  P is the second to the last on the list and so is E.

The shape of the distribution for the following set of data is: symmetrical.

When we study data, one of the major ways to understand it is to think about its general form, such as whether it is symmetrical, has more numbers on one side than the other, or fits a common probability distribution like the normal, binomial, or exponential.

Now,

Hence, The shape of the distribution for the following set of data is: symmetrical.

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The equation of parabola is [tex]y=1/4x^{2}+x/2-4\\\\[/tex].

A symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side. The path of a projectile under the influence of gravity follows a curve of this shape. A plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line.

Given:

The equation of parabola in vertex form is

[tex]y=a(x-h)^{2} +k[/tex]

Being vertex here

h=-2

k=-5

According to given question we have

∴

Equation of parabola in vertex form is

[tex]y=a(x+2)^{2} -5[/tex]

. The parabola passes through point  (4,4)  So the point (4,4)  will satisfy the equation .

[tex]4=a(4+2)^{2} -5\\\\4=a*36-5\\\\9=a*36\\\\a=9/36\\\\a=1/4[/tex]

Hence the equation of parabola is

[tex]y=1/4(x+2)^{2} -5\\\\y=1/4(x^{2} +4+2x)-5\\\\y=1/4x^{2} +1+x/2-5\\\\y=1/4x^{2}+x/2-4\\\\[/tex]

Therefore, the equation of parabola is [tex]y=1/4x^{2}+x/2-4\\\\[/tex].

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the equation of parabola is missing