what is the slandered form of equation y = -3/2 x + 5

The cost of the the phone and phone plan after 2, 12 and 24months is $290, $690 and $1170 respectively.

A linear equation is in the form:

y = mx + b

Where y,x are variables, m is the rate of change and b is the initial value of y.

Given the equation:

C = 40n + 210

Where C is the cost of a phone plan for n number of months.

After 2 months; C = 40(2) + 210 = 290

After 12 months; C = 40(12) + 210 = 690

After 24 months; C = 40(24) + 210 = 1170

The cost of the the phone and phone plan after 2, 12 and 24months is $290, $690 and $1170 respectively.

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A function assigns the values. The correct option is C.

A function assigns the value of each element of one set to the other specific element of another set.

The function rule that represents the best line of fit for the data in the plot is option C.

A) f(x)= x+8

Since the line has a positive slope this can not be the appropriate option.

B.) f(x) = -2x+14

Since the y-intercept of the equation is above all the data points, it would not be the best fit for the data in the plot.

D.) f(x) = 10

Since this is a straight horizontal line at y=1. This is not the appropriate option.

Hence, the correct option is C.

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Answer:

D.7

Step-by-step explanation:

30/5 =42/X

Criss cross and X=(42X5)/30=7

The value of x will be,

⇒ x = 7

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Triangles ABC and DEF are similar.

Now, By definition of proportionality we get;

⇒ AB / BC = DE / EF

⇒ 30 / 42 = 5 / x

⇒ 30x = 5 × 42

⇒ 30x = 210

⇒ x = 210 / 30

⇒ x = 7

Thus, The value of x will be,

⇒ x = 7

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Answer:

D

Step-by-step explanation:

D

The correct function of the graph is,

⇒ f (x) = (x - 1) / (x - 3) (x + 1)

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The graph of function is shown.

Here, The graph is not defined at x = 3, and x = - 1.

Hence, By option;

The correct function of the graph is,

⇒ f (x) = (x - 1) / (x - 3) (x + 1)

Thus, The correct function of the graph is,

⇒ f (x) = (x - 1) / (x - 3) (x + 1)

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Answer:

[tex]\dfrac{x}{2}=25.5[/tex]

Step-by-step explanation:

Let the number be x.

Peter halves the number and gets an answer of 25.5.

It means,

Half of x equals 25.5. So,

[tex]\dfrac{1}{2}x=25.5[/tex]

or

[tex]\dfrac{x}{2}=25.5[/tex]

Hence, the required equation is [tex]\dfrac{x}{2}=25.5[/tex].

Answer:

[tex]y=\frac{3}{2}x+(-14)[/tex]

Step-by-step explanation:

Equation of a line has been given as,

[tex]y=-\frac{2}{3}x[/tex] --------(1)

Slope of the line is,

[tex]m_1=-\frac{2}{3}[/tex]

By the property of perpendicular lines,

If the two lines having slopes [tex]m_1[/tex] and [tex]m_2[/tex] are perpendicular to each other, [tex]m_1\times m_2=-1[/tex]

Therefore, slope of the line perpendicular to the line (1) will be,

[tex]-\frac{2}{3}\times m_2=-1[/tex]

[tex]m_2=\frac{3}{2}[/tex]

If this line passes through a point (4, -8) equation of the line will be,

[tex]y-y'=m_2(x-x')[/tex]

[tex]y+8=\frac{3}{2}(x-4)[/tex]

[tex]y=\frac{3}{2}x-6-8[/tex]

[tex]y=\frac{3}{2}x-14[/tex]

Answer:

24 Miles

Step-by-step explanation:

We multiply:

40 * 0,6 = 24 miles

Answer:

1. x = -6, -8, -90

2. solutions for [tex]-2x\geq 10[/tex] include -5, while -5 is not a solution for [tex]-2x>10[/tex]

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

because your susy

Answer:

12 in the first blank

20 in the second one

Step-by-step explanation:

12 because it is 8+4

20 because it is 60/3

Answer:

1.) 8 ; (2.) 200 ; (3.) 5 ; (4.) 6

Step-by-step explanation:

1.)

Number of apple baskets = 11

Total number of apples = 88

Number of apples per basket = 88 / 11 = 8

2).

Number of words per minute = 40

Number of words that can be typed in 5 minutes :

40 * 5 = 200 words

3.)

Number of balloons = 20

Number of friends = 4

Number of balloons per friend = 20/4 = 5

4.)

Time required to make 1 greeting card = 5 minutes

Number of greeting cards that can be made in 30 minutes :

30 minutes / 5 minutes = 6 greeting cards

Answer:

tan (angle T) = 5/2

angle T = arctan (5/2)

Answer:

We can find the system equivalent to this one by replacing one of the equations with a multiply of itself, so:

Let’s multiply y = x-2 by 2

2y=2x-4

A system equivalent to this one is

y = -2x^2 (this remains the same)

2y= 2x-4

Answer:

[tex]the \: equation \: is \: equivalent \: to \\ 2 \: { \sin }^{2} (( \: \frac{\pi}{2}) \: {cos}^{2} x ) = \\ \: 2 \: {sin}^{2} (( \frac{\pi}{2} sin \: 2x \: ) \\ = {cos}^{2} x = sin \: 2x \\ = \: \cos \: x(cos \: x \: - \: 2 \: sin \: x) \: = \: 0 \\ = \: 1 - 2 \tan \: x = 0 \: as \: cos \: x \: ≠ 0 \\ x ≠ (2n + 1) \frac{\pi}{2} \\ = \tan(x) = \frac{1}{2} \\ = \cos(2x) = \frac{1 - {tan \: }^{2}x }{1 + {tan \: }^{2} \:x } = \frac{3}{5} [/tex]

Answer:

70

Step-by-step explanation:

too easy

Answer:

c = $30 + $0.75p

Step-by-step explanation:

total cost = total fixed cost + total variable cost

total fixed cost = $30

Fixed costs are costs that do not vary with output.

total variable cost = variable cost per unit x total unit

p x 0.75

Variable costs are costs that vary with production

Answer:

1.) 88cm

2.) 3

3.)104

Step-by-step explanation:

1) circumference= 2πr

2×22/7×14 = 88cm

Answer:

7x

Step-by-step explanation:

Answer:

answer

x - ( - 6x )

x + 6x

= 7x

Answer:

The answer is below

Step-by-step explanation:

Since 1000ml Of Dextrose 25% is needed to be produced from Dextrose 70%. Let us assume that x ml of Dextrose 70% is mixed with a Dextrose 5% to get 1000 ml of Dextrose 25%. Hence:

The amount of Dextrose 5% = 1000 ml - x ml = 1000 - x

25% of 1000 ml = 70% of x + 5% of (1000 - x)

25000 = 70x + 5000 - 5x

Simplifying gives:

65x = 25000 - 5000

65x = 20000

x = 308 ml

Therefore 308 ml of Dextrose 70% was mixed with 692 ml of Dextrose 5% to produce 1000 ml of Dextrose 25%.

Answer:

x-8

Step-by-step explanation:

since we dont know how much gas is in the tank, lets make that X.

and since we subtract 8 gallons from how much is in the tank, we make that X-8

Answer:

Inequality:

x < 8

The Graph Would be the Hallow Dot on the 8,  then it would go the left way.

Answer:

A   G(x) = (x - 5)²

Step-by-step explanation:

Plug in x = 5 into the given choices

only G(x) = (x - 5)² correctly returns G(5) = 0

Answer: 0.13 cents per minute.

Step-by-step explanation:

7.80 divided by 60(min per hour.)= .13 cents.

Answer:

Let's see each case.

a) 2

We know that a number is divisible by two if it ends in {0, 2, 4, 6, 8}

In our case, we have 240,720

We can see that it ends with a zero, so it is divisible by 2.

b) 3

A number is divisible by 3 only if the sum of its digits is a multiple of 3.

For our number, the sum of the digits gives:

2 + 4 + 0 + 7 + 2 + 0 = 2 + 4 + 7 + 2 = 6 + 9 = 15

15 is a multiple of 3, then 15 is divisible by 3.

then 240,720 is divisible by 3.

c) 4

A number is divisible by 4 if the last two digits form a number that is divisible by 4.

In this case, the last two digits are 2 and 0, so they form the number 20

and we know that 20 = 4*5 is a multiple of 4.

then 20 is divisible by 40

then 240,720 is divisible by 4

d) 5

A number is divisible by 5 if it ends in 0 or 5.

Our number ends in a 0, so it is divisible by 5.

e) 6

A number is divisible by 6 if it is divisible by 2 and 3.

We already know that our number is divisible by 2 and 3, so we can conclude that it is also divisible by 6.

f) 8

A number is divisible by 8 if, in the case where the hundreds digit is odd, the number obtained from the last two digits plus 4 must be divisible by 8.

in the case where the hundreds digit is even, the number formed by the last two digits must be divisible by 8.

In our case the hundreds digit is 7, so it is odd, so we will use the first criteria.

The last two digits form the number 20

if we add 4, we get:

20 + 4 = 24

And 24 is a multiple if 8:  8*3 = 24

Then 24 is divisible by 8, then 240,720 is divisible by 8.

g) 9

Similar for the case of the 3, a number is divisible by 9 if the sum of its digits is divisible by 3.

We know that the sum of the digits of our number is 15, which is not divisible by 9, then our number is not divisible by 9

h) 10

A number is divisible by 10 if the last digit is a zero.

In this case the last digit is a zero, so  240,720 is divisible by 10.

i) 11

A number is divisible by 11 if:

starting from the left, you need to add and subtract each subsequent digit, if this is divisible from 11, then the original number is divisible by 11.

Then for  240,720 we have:

2 - 4 + 0 - 7 + 2 - 0 = -2 - 5 = -7

-7 is not divisible by 11, so our number is not divisible by 11

She plays soccer and golf for a total of 125 minutes:

s + g = 125

She plays soccer 45 minutes more than she plays golf:

s = g + 45 this is for A

B= 40 minutes of golf everyday

C= Yes, because in fact, she plays 85 minutes of soccer everyday, and 85 is greater than 80, so yes she CAN play 80 minutes of soccer every day. Perhaps they meant possible to spend ONLY 80 minutes, then NO, that wouldn't be possible, because then by playing 45 minutes more soccer than golf, she wouldn't have played enough to have 125 total minutes of total play. Technically the way the question is worded, the answer is yes.

I hope this helps!