The point stope form of the equation of the line that passes through (-4,-3) and (12, 1) is y-1 = (x-12). What is
the standard form of the equation for this line?

d) 5x ≥ 15

Let's solve your inequality step-by-step.

5x≥15

Step 1: Divide both sides by 5.

[tex]\frac{5x}{5} \geq \frac{15}{5}[/tex]

[tex]x\geq 3[/tex]

(Attachment #1)

e) 3(2x + 1) ≤ 15

Let's solve your inequality step-by-step.

3(2x+1)≤15

Step 1: Simplify both sides of the inequality.

6x+3≤15

Step 2: Subtract 3 from both sides.

6x+3−3≤15−3

6x≤12

Step 3: Divide both sides by 6.

[tex]\frac{6x}{6} \leq \frac{12}{6}[/tex]

[tex]x\leq 2[/tex]

(Attachment #2)

Answer:

20 % discount

Step-by-step explanation:

Lilian got 4 dollars off of the original price    (20 - 16 = 4 )

4 / 20  * 100% = 20% off

The percentage of discount that Lillian gets because of sale is 20%.

Percentage is a measurement to find value of given number out of hundred.

Given that,

The price of phone on tag = $20.

Lillian paid for phone = $16.

To find the percent discount on phone,

First find amount of discount = 20 - 16 = $4.

The percentage of discount = (4 / 20) x 100 = 20 %

Lillian gets 20% discount on new mobile.

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Answer:

x- intercept = - 1 , y- intercept = 2

Step-by-step explanation:

the x- intercept is the value of the x- coordinate where the curve crosses the x- axis , that is

x- intercept = - 1

the y- intercept is the value of the y- coordinate where the curve crosses the y- axis , that is

y- intercept = 2

Answer:

36 feet

Step-by-step explanation:

1 yard 3 feet

Answer:

1) -
2) +

3) -
4) +

Step-by-step explanation:

сумма внутренних углов треугольника не должна превышать 180 градусов

When a plane intersects a pyramid, the cross-section of polygon created is

To answer the question whe need to know what polygons are.

Polygons are shapes with 3 or more sides.

A pyramid a four-sided solid with triangular sides and a square base.

So, when a plane intersects a pyramid, the cross-section of polygon created is

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Answer:

$40

Step-by-step explanation:

Ramon has $80 saved

half of it came from mowing yard

therefore 80/2 = 40

the rest from raking leaves

80-40=40

Answer:

Let's solve your inequality step-by-step.

−4x+7>x−13

Step 1: Subtract x from both sides.

−4x+7−x>x−13−x

−5x+7>−13

Step 2: Subtract 7 from both sides.

−5x+7−7>−13−7

−5x>−20

Step 3: Divide both sides by -5.

−5x/−5>−20/−5

x<4

Answer:

x<4

IMAGINE AN ARROW ABOVE THE NUMBERS

⇔

−7−6−5−4−3−2−1 0 1 2 3 4 5 6 7

4 is where the line is circled and the arrow is facing left

←Ф

like that

Answer:

x<4

Step-by-step explanation:

So you will put an open circle on positive 4 and a ray going to the left of the graph.

Answer:

x = $1 & y = $2.

Each doughnut cost $1 and hot chocolate cost $2.

Answer:

1:(1/6) where n = 1/6

Answer:

x=5 1/4 or 5.25

Step-by-step explanation:

11x2-4x=1

22-4x=1

22-1-4x=

21-4x=

21=4x

x=5 1/4 or 5.25

Answer:

Using the formula of quadratic equation, we find x = 0.534 and x = -0.17.

Step-by-step explanation:

It is a quadratic equation.

11x² - 4x - 1 = 0

Find the determinant of the quadratic equation.

D = b² - 4ac

D = 16 + 44

D = 60

One of the values of x will be

x = (-b+√D)/2a

x = (4+2√15)/22

x = 0.534

The second value will be

x = (-b-√D)/2a

x = (4-2√15)/22

x = -0.17

The two values of x, from the quadratic formula are 0.534 and -0.17.

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The number of people in the sample survey is 75.

Survey sampling, as used in statistics, is the process of choosing a sample of constituents from a target population to perform a survey. The word "survey" can be used to describe a wide range of observational methods or procedures. Most frequently, a questionnaire meant to assess people's traits and/or opinions is employed in survey sampling. The topic of survey data collecting involves various methods of contacting sample participants after they have been chosen. Sampling is done to cut down on the expense and/or labor required to survey the complete target population. A census is a survey that includes all members of the target population. A sample is a subset or segment of a population from which data will be drawn.

The sample survey has

5 people in 1-4 miles per week

10 people in 5-8 miles per week

15 people in 9-12 miles per week

20 people in 13-15 miles per week

25 people in 16-19 miles per week

The number of people in the sample survey is

5 + 10 + 15 + 20 + 25

=5(1 + 2 + 3 + 4 + 5)

=5(15)

=75

Hence, the number of people in the sample survey is 75.

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As the travelling distance to work increases, number of such people decreases. Therefore this distribution shape will be skewed right.

On each weekday, the number of sleeping hours generally remains the same. So the shape of the distribution will be uniform.

In general, most people will have their first heart attack at a higher age. So the shape of the distribution will be skewed left.

Scores of GRE will have a normal distribution in general. So the shape of the distribution will be symmetric.

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Answer:       B.     [–4, 0)  ∪  [2, ∞)

To find the range, find out what y-values are possible for the function in the graph.

We need to pay attention to what symbols to use.

Solid circle

Empty circle

Arrow

Square brackets: [ and ]

Curved brackets: ( and )

Union of sets: ∪

Let's start by looking for the lowest possible y-value at the bottom of the diagram. On the graph, the point (4, –4) marked with a solid circle.

The function touches the point and stops. Since the y-value is –4, the lowest possible y-value is:     [tex]-4[/tex]

If we follow the blue line upwards, we find an empty circle at (0, 0). The y-value in (0, 0) is 0. This means that the function gets close, but does not include:     [tex]0[/tex]

So, the first part of our range is:

The blue line on the top starts where y = 2 at a solid circle. So, the function includes the y-value:    [tex]2[/tex]

If we follow this blue line upwards, it ends with an arrow. This means it will keep going to infinity, which is the symbol:    [tex]\infty[/tex]

So, the second part of our range is:

Put the lower and upper blue lines together with the union of sets symbol. The range is expressed as:    [–4, 0)  ∪  [2, ∞)

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The multiplicative rate of change is 2/3

The complete question is in the image

The multiplicative rate of change is then calculated as:

r = y2/y1

This gives

r = 4/6

Simplify

r = 2/3

Hence, the multiplicative rate of change is 2/3

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Answer:

b.

Step-by-step explanation:

Answer:

226.19cm^2

Step-by-step explanation:

Total surface area of cylinder = 2πr(r + h).

Answer:

y = 25°

Step-by-step explanation:

115° and x are a linear pair and sum to 180° , so

x + 115° = 180° ( subtract 115° from both sides )

x = 65°

the sum of the 3 angles in the triangle = 180° , then

x + x + 2y = 180°

65° + 65° + 2y = 180°

130° + 2y = 180° ( subtract 150° from both sides )

2y = 50° ( divide both sides by 2 )

y = 25°

Option third "The original amount of the mortgage" is correct because every month that passes, the amount left to pay decreases.

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2}[/tex]

[tex]\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]

As we know the line of best is represented by:

y = mx + c

Here m is the slope and c is the y-intercept.

A scatter plot is made to model the amount of money left to pay on a mortgage.

Every month that passes, the amount left to pay decreases.

Plug x = 0 to get the y-intercept

y = c

The y-intercept representing the original amount of the mortgage.

Thus, option third "The original amount of the mortgage" is correct because every month that passes, the amount left to pay decreases.

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Answer:

3 days, 27

Step-by-step explanation:

After 3 days :

After 3 days, the number of belts and wallets sold will be the same, equal to 27.

After 3 days, the number of belts and wallets sold will be the same, equal to 27.

It is given that the number of belt sold s, x days after its online lunch  s=3^x

and s=4x+15.

To find correct answer in each box.

The branch of mathematics dealing with the properties and manipulation of numbers.

After 3 days :

3³ = 27 belts

4(3) + 15 = 12 + 15 = 27 belts

So, after 3 days, the number of belts and wallets sold will be the same, equal to 27.

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This is a polynomial of degree 4, for each value of x, we get only one value of y, so we conclude that this is a function.

A function is a relation that maps inputs (usually written as x) into outputs (usually written as y). Such that each input is mapped into only one output.

For example, if we had:

y = ±√x

Notice that for the same input x = 1, we would have two outputs:

y = 1 and y = -1.

So that is not a function.

Now, for the given one:

[tex]y = f(x) = 3x^4 - 5x^2[/tex]

This is a polynomial of degree 4, for each value of x, we get only one value of y, so we conclude that this is a function.

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The correct answer is option C which is x = y.

The angle formed by the line intersecting two parallel lines is called the alternate interior angle. This two angles are equal in magnitude.

In the given figure we can see that the angle x will be equal to the angle y because of the right opposite angles.

Since two parallel lines are cutting the upper part at x so the same lower part will be also x due to corresponding angles.

Now just right opposite to x there is an angle y so the angles x and y will be equal to each other.

Therefore the correct answer is option C which is x = y.

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Answer:

área is 15 perimeter is B

Answer: 63 and 17 differ by 46.

Step-by-step explanation:

63-17=46

Subtraction is what you do when trying to find the difference of something.

Answer: 1:2

Step-by-step explanation:

Well, if you're asking for the ratio, it is 1:2

For every 1 notebook bought, there would be 2 free pens.

Since she bought 8 notebooks, just multiply 2 by 8 which will result in 16.

Answer:

[tex]\sf P(A \cap B)=\dfrac{1}{4}[/tex]

Step-by-step explanation:

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

Event A - spinning violet or yellow

Assuming that the spinner has 4 different colors (red, orange, violet and yellow) - see attachment.

[tex]\implies \sf P(A) = \dfrac{2}{4}=\dfrac{1}{2}[/tex]

Event B - rolling an even number

Assuming the number cube has 6 sides numbered 1, 2, 3, 4, 5 and 6.  Therefore, the even numbers are 2, 4 and 6.

[tex]\implies \sf P(B)=\dfrac{3}{6}=\dfrac{1}{2}[/tex]

Events A and B are independent events as the outcome of one event does not affect the outcome of the other event.

For independent events A and B:

[tex]\implies \sf P(A \cap B)=P(A)P(B)[/tex]

To find P(A and B), substitute the found values of P(A) and P(B):

[tex]\implies \sf P(A \cap B)=\dfrac{1}{2} \times \dfrac{1}{2}=\dfrac{1}{4}[/tex]

P(A)

P(B)

3 even nos are 2,4,6

P(A[tex]\cap[/tex])

The solutions to the system of equation f(x) and g(x) are [tex]\frac{3+\sqrt{89}}{4} \ or \ \frac{3-\sqrt{89}}{4}[/tex] and

[tex]\frac{2\sqrt{15}}{3} \ or \ \frac{-2\sqrt{15}}{3}\\[/tex]

Quadratic equations are equations that has a leading degree of 2. Given the following functions:

f(x)=2x^(2)-3x-10

g(x)=-3x^(2)+20

To solve, we will use the quadratic formula as shown below;

[tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

For the quadratic equation f(x)=2x^(2)-3x-10

a = 2

b = -3

c = -10

Substitute

[tex]x=\frac{-(-3)\pm \sqrt{(-3)^2-4(2)(-10)}}{2(2)}\\x=\frac{3\pm\sqrt{89}}{4}\\x= \frac{3+\sqrt{89}}{4} \ or \ \frac{3-\sqrt{89}}{4}[/tex]

For the quadratic equation -3x² + 20

a =-3

b = 0

c = 20

[tex]x=\frac{0\pm \sqrt{(0)^2-4(-3)(20)}}{2(-3)}\\x=\frac{\pm4\sqrt{15}}{-6}\\x=\frac{2\sqrt{15}}{3} \ or \ \frac{-2\sqrt{15}}{3}\\[/tex]

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The amount of money earned by Kiki earned $614 in three days.

The amount paid by any company or industry to the employees after deductions of the several taxes is the salary.

Given that:

Per day salary of Kiki = $150

Commission = 8% of sales

Worth of sold items = $350+$500+$1200 = $2050

Amount of commission = 0.08 x 2050 = $164

Total amount earned in three days = Base salary per day * Number of days + Commission

Total amount earned = 150*3 + 164

Total amount earned = 450 + 164 = $614

Hence, Kiki earned $614 in three days.

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Answer:

no solutions

Step-by-step explanation:

[tex]4x + 2(-2x+1) = -3\\4x-4x+2 = -3\\2 = -3\\[/tex]

this means there are no solutions.

Answer:

in triangle ACD and BCE

AC = EC

angle ACD = angle ECB ( COMMON ANGLE).

CB = CD

BY side and side criteria

triangle ACD is congruent to triangle BCE

so angle a is congruent to angle E

hence, proved