Which function rule represents the data in the table below ?

y = 4 + 5 x
y = 3 + 6x
y= 5 + 4x
y = 6 + 3x

Answer:

The answer would be (1,4)

Step-by-step explanation:

Answer:

The solution of the given inequality    [tex]x < \frac{c+ b}{a}[/tex]

Step-by-step explanation:

Explanation:-

Given that the constants a, b, and c are positive

Given inequality     a x - b < c

Adding 'b' on both sides, we get

                             a x - b + b < c

                       ⇒  a x < c + b

Dividing 'a' on both sides, we get

                            [tex]x < \frac{c+ b}{a}[/tex]

Answer:

Graph D

Step-by-step explanation:

Graph D shows (0,4) because the x coordinate is 0, and then the y coordinate is 4 so you move up 4.

The graph D shows the point R(0, 4).

Given are four graphs we need to determine which graph shows the point R(0, 4),

A point R(0, 4) is represented in a Cartesian coordinate system as a point located at x = 0 and y = 4.

The graph that shows this point is a vertical line passing through the y-axis at 4. It is a line parallel to the x-axis, intersecting it at y = 4 and extending infinitely in both directions.

Visually, the graph of the point R(0, 4) would be a single point on the y-axis at y = 4.

Hence the graph D shows the point R(0, 4).

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Answer:

[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}*arctan(\frac{x^2}{4}) + c[/tex]

Step-by-step explanation:

Given

[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx[/tex]

Required

Solve

Let

[tex]u = \frac{x^2}{4}[/tex]

Differentiate

[tex]du = 2 * \frac{x^{2-1}}{4}\ dx[/tex]

[tex]du = 2 * \frac{x}{4}\ dx[/tex]

[tex]du = \frac{x}{2}\ dx[/tex]

Make dx the subject

[tex]dx = \frac{2}{x}\ du[/tex]

The given integral becomes:

[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{x}{x^4 + 16}} \, * \frac{2}{x}\ du[/tex]

[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{1}{x^4 + 16}} \, * \frac{2}{1}\ du[/tex]

[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{2}{x^4 + 16}} \,\ du[/tex]

Recall that: [tex]u = \frac{x^2}{4}[/tex]

Make [tex]x^2[/tex] the subject

[tex]x^2= 4u[/tex]

Square both sides

[tex]x^4= (4u)^2[/tex]

[tex]x^4= 16u^2[/tex]

Substitute [tex]16u^2[/tex] for [tex]x^4[/tex] in [tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{2}{x^4 + 16}} \,\ du[/tex]

[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{2}{16u^2 + 16}} \,\ du[/tex]

Simplify

[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{2}{16}* \frac{1}{8u^2 + 8}} \,\ du[/tex]

[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{2}{16}\int\limits {\frac{1}{u^2 + 1}} \,\ du[/tex]

[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}\int\limits {\frac{1}{u^2 + 1}} \,\ du[/tex]

In standard integration

[tex]\int\limits {\frac{1}{u^2 + 1}} \,\ du = arctan(u)[/tex]

So, the expression becomes:

[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}\int\limits {\frac{1}{u^2 + 1}} \,\ du[/tex]

[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}*arctan(u)[/tex]

Recall that: [tex]u = \frac{x^2}{4}[/tex]

[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}*arctan(\frac{x^2}{4}) + c[/tex]

Answer:

I believe that 15% of 34.95 would be 5.24

Step-by-step explanation:

Answer:

P(S on 2 S on 1) = 0.80000

P(S on 10 S on first 9) = 0.799996

P(S) = 0.8

Step-by-step explanation:

Given :

P(S on 2 S on 1)

= 399, 999/499, 999

= 0.80000

P(S on 10 S on first 9)

= 399, 991/499, 991

= 0.799996

P(S) = 0.8

Answer:

1. 44.3

2. 4.43

3. 0.443

Step-by-step explanation:

Answer:

the 2nt one is also 4.43, and the third one is 2.215 i think

Step-by-step explanation:

Answer:

Step-by-step explanation:

area of base = 22in×12in = 264 sq in

Height of tank = volume/(base area) = 3960/264 = 15 inches

Lateral area = 2(22 × 15) + 2(12 × 15) = 660+360=1020 sq in

Surface area = base area + lateral area= 264+1020=1284 sq in

Answer:

B. 73°

Step-by-step explanation:

The triangle is an isosceles triangle as it has 2 equal sides. This implies that the angles opposite to the two equal sides are of the same measure.

Therefore,

x = (180 - 34) ÷ 2

x = 146 ÷ 2

x = 73°

Answer:

y=3

B.Slope is -6 Y intercept is 0.5

Step-by-step explanation:

Answer:

4.66

Step-by-step explanation:

14 / 3 = x

4.66 = x

Answer:

So a whole number answer would be 3 per person with a remainder of 2.

or

It would be a mixed number and be 3 1/2 per person.

Step-by-step explanation:

Well you and your 3 friends are 4 people total.

4 is not a multiple of 14 so if you want to share equally youll have some leftover cause im assuming the answer must be a whole number and not a decimal.

But the most you and your friends can share equally is 3 per person. Since 4 people with 3 packs each (4 x 3) is 12 packs total with 2 packs leftover.

If you want to split these packs among the 4 of you, you can do 4/2 to get 1/2 a pack for each of you guys to share.

So a whole number answer would be 3 per person with a remainder of 2.

or

It would be a mixed number and be 3 1/2 per person.

Hope this helps!

If you need any further help or questions comment or message me!

Answer:

m<1 = 76°

m<2 = 76°

m<3 = 49°

Step-by-step explanation:

✔️m<1 = 180 - (47 + 57) (sum of triangle)

m<1 = 76°

✔️m<2 = m<1 (vertical angles are congruent)

m<2 = 76° (substitution)

✔️m<3 = 180 - (55 + m<2) (sum of triangle)

m<3 = 180 - (55 + 76) (substitution)

m<3 = 49°

Your answers are right because the x's can not repeat

so 1.it is a function

2.it is a function

3.it is not a function bc "d" and "m" both repeat 2 times

4.it is not a function bc 2 repeats 2 times

Hope this helps

Have a great day/night

Feel free to ask any questions  

The expression 5.3 x 5.3 x 5.3 x 5.3 can be written as 5.3 raised to the exponentiation and powers of 4, or [tex]{(5.3)}^4[/tex], which evaluates to 6241.03.which means

To express this expression as a power, we need to determine the exponent that represents the number of times 5.3 is multiplied by itself. In this case, 5.3 appears four times in the multiplication.

So, the expression can be rewritten as 5.3 raised to the power of 4, or [tex]{(5.3)}^4[/tex].

The formula for expressing a number multiplied by itself n times as a power is: [tex]a^n[/tex]

In this case, a is 5.3 and n is 4.

To evaluate the expression, we can simply multiply 5.3 by itself four times:

5.3 x 5.3 x 5.3 x 5.3 = 6241.03

Therefore, 5.3 x 5.3 x 5.3 x 5.3 can be expressed as [tex]{(5.3)}^4[/tex], which is equal to 6241.03.

In summary, the expression 5.3 x 5.3 x 5.3 x 5.3 can be written as 5.3 raised to the exponentiation and powers of 4, or [tex]{(5.3)}^4[/tex], which evaluates to 6241.03.

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9514 1404 393

Answer:

  -35

Step-by-step explanation:

Put the values where the corresponding variables are and do the arithmetic.

  1 + hk + j

  = 1 + (-5)(6) +(-6)

  = 1 -30 -6

  = -35

Answer:

= -1/2

Step-by-step explanation:

F=1/4(-2)

F=-1/4(2)

F=-1(2)/4

F=-2/4

F= -1/2

Answer:

That would be $120,000 at the end of the 5 years.

Step-by-step explanation:

$2,000 x 12 months = $24,000

$24,000 x 5 years = $120,000 total

Answer:

108 calories per cup

Step-by-step explanation:

Answer:

the answer should be 27.72

Answer:

hello some information related to your question is missing

answer : The pattern discovered supports the hypothesis that taller customers have larger shoe sizes but with some exceptions and this exceptions are ; at Height 5ft 10 inches two people are seen to have different shoe sizes i.e. Eduardo with shoe size : 10.25 inches and Susan with shoe size : 10inches. another exception from the pattern is Lily having a height of 5 ft and shoe length of 9 inches .

Step-by-step explanation:

From the data given the pattern discovered supports the hypothesis that taller customers have larger shoe sizes but with some exceptions and this exceptions are ; at Height 5ft 10 inches two people are seen to have different shoe sizes i.e. Eduardo with shoe size : 10.25 inches and Susan with shoe size : 10inches. another exception from the pattern is Lily having a height of 5 ft and shoe length of 9 inches .

32/p=10/440

10p=14080

p=1408

Answer:

[tex] \frac{\pi^{c} }{3} [/tex]

Step-by-step explanation:

Measure of the length of an arc of a circle is given as:

[tex]l = \frac{ \theta}{2\pi} \times 2\pi r \\ \\ \pi = \frac{ \theta}{2\pi} \times 2\pi \times 3 \\ \\ 3 \theta = \pi^{c} \\ \\ \theta = \frac{\pi^{c} }{3} \\ [/tex]

Answer:

Xy-3x

Putting the values of x and y into the expression,

We have 4(5)-3(4)

20-12

8

Answer:

c, a, d

Step-by-step explanation:

I think?

Answer:

5 1/3

Step-by-step explanation:

We make

4/1 divided by 4/3 = 5 1/3

Answer:

da answerr is six

if DF is 6 and all sides are equal in length the EF side is going to be 6 as well

Answer:

6.28 m^2  

Step-by-step explanation:

4^2 x Pi=area of full circle

45 degree segment =1/8 of a full circle

16x3.14159=50.27 m^2                  area of full circle

50.27/8=6.28 m^2             area of 1/8 circle

Answer:

90 square meters

Step-by-step explanation:

Formula for sector area--- SECTOR AREA=r^2 a/2

*Multiply the central angle by the radius squared- 45×4=180squred meter

*then, Divide by 2- 180÷2=90

Answer:

9 cans of soup and the 4 frozen dinners were purchased

Step-by-step explanation:

Let x represent the number of cans of soup purchased.

Let y represent the number of frozen dinners purchased.

Lincoln purchased a total of 13 cans of soup and frozen dinners. This means that

x + y = 13

Each can of soup has 250 mg of sodium and each frozen dinner has 550 mg of sodium. The 13 cans of soup and frozen dinners which he purchased collectively contain 4450 mg of sodium. This means that

250x + 550y = 4450 - - - - - - - - -1

Substituting x = 13 - y into equation 1, it becomes

250(13 - y) + 550y = 4450

3250 - 250y + 550y = 4450

- 250y + 550y = 4450 - 3250

300y = 1200

y = 1200/300

y = 4

Substituting y = 4 into x = 13 - y, it becomes

x = 13 - 4 = 9