1) Functions A, B and C are all linear functions ofx. Rank the rates of change and the y-intercepts of all three from smallest to largest. Function A Function B y = .5x. 0.55 X 0 1 2 3 у -1.25 0.5 0.25 1 1.75 Function C Rates of change in order smallest to largest : 3- + Y-intercepts in order smallest to largest: -1 -3​

Answer:

Solution for 17=w-4 equation:

17=w-4

We simplify the equation to the form, which is simple to understand

17=w-4

We move all terms containing w to the left and all other terms to the right.

-1w=-4-17

We simplify the left and right sides of the equation.

-1w=-21

We divide both sides of the equation by -01 to get w.

w=21

Step-by-step explanation:

Answer:

68

Step-by-step explanation:

17/1 = w/4

w.1=17.4

w= 68

Answer:

18%

Step-by-step explanation:

540$ is 18% of what he put towards the loan :))

The age of the man is 40 years and that of his daughter is 8 years respectively.

A linear equation can be solved by equating the LHS and RHS of the equation following some basic rules such as by adding or subtracting the same numbers on both sides and similarly, doing division and multiplication with the same numbers.

Suppose the age of man be x.

Then, age of his daughter is x - 32.

As per the question the following equation can be formed for the product of ages as ,

x(x - 32) = 320

⇒ x² - 32x - 320 = 0

⇒ x = 40, -8

Since, age of a person cannot be a negative value, it is taken as positive.

Thus, the age of daughter is 40 - 32 = 8

Hence, the age of the man and his daughter is obtained as 40 and 8 years respectively.

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Answer:

The statements are in regular print, the reasons are bolded

Step-by-step explanation:

1st:AB is the diameter of circle o. Both 1 and 2 are Given

2nd: AC and BD are tangents.

3rd:Ab is perpendicular to AC , AB is perpendicular to BD. Radius is perpendicular to tangent

4th: AC is parallel to BD Lines parallel to same line are congruent.

Answer:

...... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Answer:

Step-by-step explanation:

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{m+n}[/tex]

[tex](a^{m})^{n}[/tex] = [tex]a^{mn}[/tex]

~~~~~~~~~~~~~

[tex]9^{2}[/tex] × [tex]3^{6}[/tex] = (3²)² × [tex]3^{6}[/tex] = [tex]3^{2*2+6}[/tex] = [tex]3^{10}[/tex]

Answer: Mr Smith bought 7 pepperoni pizza

Step-by-step explanation:

Step 1

cost of cheese pizza  =$11

pepperoni pizza cost =$12.50

let number cheese pizza be represented as c

and number of pepperoni pizza be represented as p

such that the total number of pizza  bought which equals 13 can be represented as

c+ p= 13

and total cost of both pizza  can be expressed as

11c+ 12.50p =153.50

Step 2 Solving

 c+ p= 13

11c+ 12.50p =153.50

By elimination method, Multiply equation 1 by 11 and subtract the new equation from equation 2

11c+ 12.50p =153.50

11c+ 11p=143.

1.5p =10.5

p= 10.5/ 1.5 =7

c+ p= 13

c= 13-p =13-7=6

Therefore Mr Smith bought 6 cheese pizza and 7 pepperoni pizza

Answer:

the answer is 85° because all angles in a triangle add up to 180

so u add them both up, subtract from 180 n u get 85

Answer:

C because a triangle angles must add up to 180

Answer:

b

Step-by-step explanation:b

Answer:

steps below

Step-by-step explanation:

3x² + 9x + 4x + 12 = 3x² + 13x +12 = (x+3)(3x+4)

if 3x² + 9x + 4x + 12 = 0    x = -3 or x = - 4/3

Answer:

2,1,0,-1,-2

Step-by-step explanation:

Just find the highest number and start going down.

Answer:

y=18-5x

Step-by-step explanation:

Correct equation is;

x³ - 7x² + 4x + 12 = 0

Answer:

All the real solutions are -1, 2 and 6

Step-by-step explanation:

The x-intercept of x³ - 7x² + 4x + 12 = 0 will occur where y is zero. This is where the curve crosses the x-axis on the graph of this function.

Now, I have plotted a graph of this function and attached it.

From the attached image, the curve crosses the x - axis at the points, x = -1, x = 2, x = 6.

Therefore all the real solutions are -1, 2 and 6

Answer:

10 lunches

Step-by-step explanation:

$47-$7=$40

40/4=10

Hello, 928747!

So we are trying to find how many boxed lunches Janie ordered.

Each box is $4.00 and the total cost is $47.00 + delivery fee of $7.00

So to find this, we will first subtract the delivery fee because that does not count towards the lunches.

47 - 7 = 40

So the boxed lunches cost $40.00

To find how many Janie ordered, we will divide 4 by 40

40 ÷ 4 = 10

So Janie bought 10 boxed lunches.

The equation would be (47 - 7) ÷ 4

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Answer:

Step-by-step explanation:

First, you can plot this using a table. One side can be 'Women' and the other 'Men'. One the vertical side of it, write '1980', '1981', '1982', etc., for maybe fifteen years to be on the safe side. Then, your starting value is 6 million and 5.4 million, respectively.

Finally, start adding up, It will be, 6.14 million, 6.28 million, etc., and 5.4 million, 5.48 million, etc.

Once you're done, you can circle the year both were the same, and you can even plot this on a graph

Answer:

What he said above me and he is correct

Step-by-step explanation:

Answer:

If you were solving for d it would be

Step-by-step explanation:

D=t*r

Answer:

No picture sorry

Answer:

3:2

3 to 2

3/2

Step-by-step explanation:

24/16 reduces to 3/2.

Answer:

3/2  5/3 12/8

Step-by-step explanation:

Answer:

the answer is center mark happy to help ya :)

Step-by-step explanation:

tuesday: -28.5

Wednesday: -5

Thursday: -11.8

Friday: -4.5

The value of  cos 45° in the given triangle is 1/√2, Option C is correct.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

In the given right triangle the hypotenuse is 8√2

In the given triangle the two legs are equal.

Let x be the length of the two legs

By Pythagoras theorem, let us find the length of a leg.

x²+x²=(8√2)²

2x²=64(2)

2x²=128

Divide both sides by 2

x²=64

Take square root on both sides

x=8

Now let us find the cosine function, the ratio of adjacent side and hypotenuse

cos45 = 8/8√2

=1/√2

Hence, the value of  cos 45° in the given triangle is 1/√2, Option C is correct.

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Answer:

The answer is below

Step-by-step explanation:

We are asked to create a box plot. To create a box plot, we need to determine the minimum point, maximum point, lower quartile, upper quartile, interquartile range, median.

First we have to arrange the data in ascending order. This gives:

85, 150, 180, 200, 210, 250, 450

The minimum point = 85

The maximum = 450

[tex]Median=\frac{2}{4}(n+1)^{th}term=\frac{2}{4}(7+1)=4^{th}\ term=200\\\\Median=200 \\\\Lower\ quartile(Q_1)=\frac{1}{4}(n+1)^{th}term=\frac{1}{4}(7+1)=2^{nd}\ term=150\\\\Lower\ quartile(Q_1)=200 \\\\Upper\ quartile(Q_3)=\frac{3}{4}(n+1)^{th}term=\frac{3}{4}(7+1)=6^{th}\ term=250\\\\Upper\ quartile(Q_3)=250 \\\\Interquartile\ range=Q_3-Q_1=250-150=100[/tex]

Answer:

a

Step-by-step explanation:

.35x.15=0.0525

Answer:

the vapor pressure of a solution at 25°C that contains 76.6 g of glucose (180.2 g/mole) in 250.0 mL of water. The vapor pressure of pure water at 25°C

Step-by-step explanation:

your answer is:  22.9 torr at 25°C

Explanation:

When a non volatile solute is added to a pure solvent, the vapour pressure of the mixture decrease regard to the pure solvent following the equation

Where vapour pressure of the pure solvent (Water) is 23.8torr at 25°C.

Mole fraction of water is the ratio between moles of water and total moles in solution. The solution has a mole fraction of water of:

Replacing in Raoult's law:

Vapor pressure of the solution is 22.9 torr at 25°C

hope this helps!

Answer:

15years

Step-by-step explanation:

Let the present age of sarita be x

Sarita father age = 49years

If  his father age is 4 years more than three times Sarita age, this is expressed as;

49  = 3x + 4

Sind x

3x = 49-4

3x = 45

x = 45/3

x = 15

hence present age of sarita is 15years

Answer:

its b as the variables have no values

Answer:

x=5

Step-by-step explanation:

x+7=10+2

x+7-7=12-7

x=5

Answer:

104 I think

Step-by-step explanation:

8 x 14 divided by 2 is 56 so 6 x 8 = 48 and 48 + 56 = 104

Answer:

The volume of this triangular prism is equal to 336 [tex]feet^{3}[/tex]

Step-by-step explanation:

In order to solve this question, we need to know that the volume of a triangular prisim is equal to the area of the triangular base time the distance between the two triangular bases. And so we get...

[tex]V = (\frac{bh}{2})(d) = (\frac{(8)(14)}{2})(6) = (56)(6) = 336[/tex]

Therefore the area of this triangular prism is equal to 336 [tex]feet^{3}[/tex]