For the linear function f (x) = mx + b, f (-3) = 23 and f (2) = -7.
Find m and b.

Answer:

Step-by-step explanation:

Answer to number 1 is a slope of -3 and the y=-3x-26 For number 2 the slope is 5 and y=5x+5 and for number 3 the slope is 2/3 and b is y=2/3x-20/3 for number 4 its 4 in the x section and 5 for the y section number 5 is --5 and for number 6 its -12. I found the slopes by using this formula y2-y1/x2-x1 and for the b I used y=mx+b and used one of the points to figure it out! I hope this helped out :3

Answer:

(1). 3   (2).1   (3) -2   (4). -6   (5). -5  (6). 3  (7). -13  (8). 1  (9). -2  (10). -8  (11). -13  (12) -49  (13). -32  (14) -27  (15). 64  (16). 36  (17). 81  (18). 21  (19). 48

Step-by-step explanation:

i do not know if you still need these answers but here they are

Answer: 8 and 9

Step-by-step explanation: 51768 ÷ 9 = 5752

51768 ÷ 8 = 6471

Answer:

9

Step-by-step explanation:

The digits of 51768 add up to a multiple of 9

Answer:

it equals 57,400

Step-by-step explanation:

your multiplying 820 into 70 hours

1.21948

2.5345

4.305

5.94

9.1

Answer

I disagree

she said that the square root of 100 and of 121 is 4 and 5

the square root of 100 is 10 and the square root of 121 is 11.

Answer:

628/1300

Step-by-step explanation:

Answer:

Mika worked for 25 hours.

Todd worked for 15 hours.

The answer is - 17

here, we have to apply BODMAS rule

given ,- 22 + (10) = 15

            = - 22 - 10 + 15

           = -32 + 15

           = - 17

BODMAS is an acronym for the sequence of operations to be performed while simplifying the mathematical expressions.

B=Brackets

O=Off

D=Division

M=Multiplication

A=Addition

S=Subtraction

The four basic Mathematical rules are addition, subtraction, multiplication, and division.

Basic math skills are those that involve making calculations of amounts, sizes or other measurements. Core concepts like addition, subtraction, multiplication and division provide a foundation for learning and using more advanced math concepts.

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Given the values of the volume and radius, the height of the cone is 15 inches.

A cone is simply a 3-dimensional geometric shape with a flat base and a curved surface pointed towards the top.

The volume of a cone is expressed as;

V = (1/3)πr²h

Given the data in the question;

Plug in the given values and solve for h.

V = (1/3)πr²h

h = 3V / πr²

h = ( 3 × 405π in³ )/( π × (9in)²

h = ( 3 × 405 in³ )/( 81 in² )

h = ( 1215 in³ )/( 81 in² )

h = 15 inches

Given the values of the volume and radius, the height of the cone is 15 inches.

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Type of rotation of Anticlockwise and clockwise .

A point in coordinate geometry can be rotated through 180 degrees around the origin by drawing an arc with a radius equal to the distance between the provided point's coordinates and the origin, and then extending an angle of 180 degrees at the origin.

The point must be rotated around the origin with regard to its location in the cartesian plane. It is nicely explained in the next part of the 180-degree rotation formula.

The formula for 180-degree rotation of a given value is as follows: if R(x, y) is a point that has to be rotated around the origin, then coordinates of R(x, y) .

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Step-by-step explanation:

The distance that the plane flies between the two cities is 2475 miles.

Velocity is the rate of distance covered per time. Velocity could be average or instantaneous.

For example, if a car drives 50 meters for 10 seconds and it is constant then 50/10 = 5 meters/second will be the velocity.

Time taken = distance covered / velocity

In the first case ;

Time taken = 5 hour.

Velocity = V(Let's say)

Distance covered = x

So,

5 = x/V

x = 5V

Now,

In the second case ;

Velocity = V - 99 (99 slower to first)

Time taken =  6 hours and 15 minutes = 6.25 hour

Distance covered = x

So,

6.25 = x/(V - 99)

x = 6.25V - 618.75

By equating

6.25V - 618.75 = 5V

1.25V = 618.75

V = 495 miles / hour

Now,

x = 5(495) = 2475 miles.

Hence "The distance that the plane flies between the two cities is 2475 miles".

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Based on the deck of cards containing blue cards and red cards, drawing Red 5 is an example of:

Red 5 is both a red number and an odd number. This means that if B or O are picked, Red 5 will be picked as it is an odd number.

If the event calls for R or E to be picked as well, Red 5 will also be picked as it is Red. If event O' is picked, then Red 5 will be picked again because it is odd.

In conclusion, Red 5 is an example of the events, "B or O," "R or E," and "O.'"

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Answer:

Step-by-step explanation: These two angles are congruent because most of the points are opposite of each other. For example Angle R is congruent to Angle V and Angle T is congruent to Angle U. Another thing about vertical angles is that they must always equal each other.

Answer:

57 Months

Step-by-step explanation:

Should take 57 months. Simple division, just divide 12,825 and 225 and you end up with 57 months.  4 years and 9 months simplified. Hope this helps.

Answer:

Step-by-step explanation:

well what even is the question all i see is graphs

On 50th day she needs to buy new bags of rice.

A sequence is defined as an arrangement of numbers in a particular order.

Sequence: 0.4, 0.8, 1.2, 1.6,......20

a=0.4, d=0.4, a_n= 20

Now,

we have to find in how many days 20 pounds rice will ends

So,

a_n= a + (n-1 )d

20 = 0.4 + (n-1) * 0.4

19.6 = (n-1)0.4

19.6/0.4= n-1

49 = n-1

n= 50

Hence, on 50th day she needs to buy new bags of rice.

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Answer:The answer would be 6a(4b4 +2b3 -3b2)

Step-by-step explanation:All you have to do is take 6a out of each number and put the 6a outside of parenthesis and put the rest of the equation in parenthesis.

7450.56 is the correct answer

Given the central angle and radius of the sector, the area of the shaded region is 28.26cm².

A sector is simply a part of the area of a circle bounded by the central angle and its intercepted arc. The area of a sector is expressed as;

A = (θ/360) × πr²

Given the data in the diagram;

To determine the area of the shaded region, plug the given values into the formula above and solve for A.

A = (θ/360) × πr²

A = (90/360) × 3.14 × (6cm)²

A = (1/4) × 3.14 × 36cm²

A = 3.14 × 9cm²

A = 28.26cm²

Given the central angle and radius of the sector, the area of the shaded region is 28.26cm².

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Thus the domain is 0 ≤ Domain ≤ 28 and the range is 0 ≤ range ≤ 150.

A function defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

The independent variable = domain

The dependent variable = Range

We are given a graph where the x-axis contains the radius value and the y-axis contains the circumference value.

We can write the function as:

f(x) where x can be 4, 8, 12, 16, 20, 24, 28, 32, 36

f(0) = 0

f(4) = 22.5

f(8) = 52.5

f(12) = 75

f(16) = 105

f(20) = 127.5

f(24) = 150

The domain is between 0 to 150 and the range is between 0 and 28.

Thus the domain is 0 ≤ Domain ≤ 28 and the range is 0 ≤ range ≤ 150.

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Answer:

x = −10

Step-by-step explanation:

8x−2(x+1)=7x+8

Step 1: Simplify both sides of the equation.

8x−2(x+1)=7x+8

8x+(−2)(x)+(−2)(1)=7x+8(Distribute)

8x+−2x+−2=7x+8

(8x+−2x)+(−2)=7x+8(Combine Like Terms)

6x+−2=7x+8

6x−2=7x+8

Step 2: Subtract 7x from both sides.

6x−2−7x=7x+8−7x

−x−2=8

Step 3: Add 2 to both sides.

−x−2+2=8+2

−x=10

Step 4: Divide both sides by -1.

−x/−1 = 10/−1

x=−10

The volume of the fiberglass shell is nearly = 508.2 in³

Volume is just a three-dimensional quantity used to determine a solid shape's capacity. It indicates that the volume of a closed figure decides how much of three-dimensional space it can occupy.

The capa.city of an object is measured by its volume. A cup's volume is 100 ml if it can carry 100 ml of water higher than or equal to the brim. A 3-dimensional object's volume can alternatively be described as the amount much space it takes up.

Cube side are 11 inches.

cube is covered with a coat of fiber glass 0.1 inch

need to find the volume of fiberglass.

area of cube = 6(11)²

                     = 6(121)

                     = 726 inch².

thickness of fiberglass = 0.7 inch.

dv ≅ ads

= 726(0.7)

= 508.2 in³

The volume of the fiberglass shell is nearly = 508.2 in³.

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Using proportions, it is found that:

a) 36 pages should be of advertising and 12 pages should be of news stories.

b) 20 pages should be of retail advertising, 12 pages should be of national advertising and 4 pages should be of classified advertising.

c) $450,000 was earned by retail advertising, $270,000 was earned by national advertising and $90,000 was earned by classified advertising.

d) You will receive a bonus of $14,400 for last year's sales.

A proportion is a fraction of a total amount, and equations can be built to find the measures using a rule of three, that can be either direct or inverse, deriving from proportional relationships.

One example of application is for ratio problems, as fractions of the total amount are built from the ratios, as given in this problem.

For item a, we have that three times as much advertising as news stories are needed, hence 3/4 of the 48 pages are advertising, hence:

3/4 x 48 = 0.75 x 48 = 36.

Hence:

The remaining 12 are of news stories.

For item b, from the ratio of 5 to 3 to 1, we have that:

Hence:

In item c, from the same ratio as above, the advertising values are found as follows:

For item d, the bonus is calculated as follows:

1/50(450,000 + 90,000) + 1/75(270,000) = $14,400.

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Answer:

(V - U) - 10

Step-by-step explanation:

In a picture we have a triangle with 3 sides. Sides are a,8 and 2. The side a=2[tex]\sqrt{15}[/tex].

Given that,

In a picture we have a triangle with 3 sides.

sides are a,8 and 2.

by using Pythagorean theorem

The Pythagorean Theorem, generally referred to as Pythagoras' Theorem, is a basic relationship between a right triangle's three sides. The Pythagorean theorem states that, given a right triangle, which is a triangle in which one of the angles is 90 degrees, the hypotenuse, the right triangle's longest side, forms a square whose area is equal to the sum of the areas of its other two sides.

In other words, given that the triangle's longest side, c, is also its hypotenuse and that sides a and b are its other two sides:

a² + b² = c²

a²+(2)²=8²

a²+4=64

a²=64-4

a²=60

Take root on both sides

[tex]\sqrt{a^{2} } =\sqrt{60}[/tex]

a=2[tex]\sqrt{15}[/tex]

Therefore, the side a=2[tex]\sqrt{15}[/tex].

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Answer:

42

Step-by-step explanation:

1473 - 1389 is 84

84/2 is 42