Write the equation in slope intercept form of the line that is parallel to the group in each equation and passes through the given point 7. y=-2x + 5; (3,-7)

Answer:

60 percent

Step-by-step explanation:

just do 90/150, and yo get 60 percent

The graph to determine an equation of the circle in

(a) center radius form

(b) general form

 (x -3)² +(y -1)² = 4 . . . . center-radius form

 x² +y² -6x -2y +6 = 0 . . . . general form

The "center-radius" form is

 (x -h)² +(y -k)² = r² . . . . . . . circle with center (h, k) and radius r

The graphed circle has its center at (3,1) and a radius of 2. Putting these numbers into the above form gives the equation

 (x -3)² +(y -1)² = 4 . . . . center-radius form

Expanding the parentheses, we get

 x² -6x +9 +y² -2y +1 = 4

Subtracting 4, and putting in general form, the equation becomes ...

 x² +y² -6x -2y +6 = 0 . . . . general form

a graph (inclusive of a sequence of one or greater factors, strains, line segments, curves, or areas) that represents the variant of a variable in assessment with that of one or greater other variables. the gathering of all factors whose coordinates fulfill a given relation (inclusive of a function)

A graph of a function is a unique case of a relation. within the modern foundations of mathematics, and, generally, in set theory, a function is clearly same to its graph. however, it is regularly useful to look functions as mappings, which consist no longer best of the relation among enter and output, but additionally which set is the domain, and which set is the codomain. as an instance, to mention that a characteristic is onto (surjective) or not the codomain have to be taken under consideration

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The equation, in point-slope form, of the line that is parallel to the given line and passes through the point (−3, 1) is y - 1 = 3/2(x+3)

One of the most popular ways to represent a linear equation is in point-slope form, which has the following structure:

y - y1 = m(x - x1) (x - x1),

where (x1, y1) is a point on the line, m is the slope, and x and y are variables that denote further points along the line. When one point on the line and the slope are known, the point-slope form can be employed. Given that at least one point and the slope of the line are known, it is helpful for locating further points on a line.

According to the given values;

Equation of a line in point-slope form

The equation of a line in point-slope form is expressed as:

y-y0 = m(x-x0)

where:

m is the slope

(x0,y0) is the point on the line

The slope of the given line is as shown:

Slope = 2-(-4)/2-(-2)

Slope = 2+4/2+2

Slope = 6/4 = 3/2

Substitute the slope and the point

y - 1 = 3/2(x-(-3))

y - 1 = 3/2(x+3)

Hence the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (−3, 1) is y - 1 = 3/2(x+3)

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Answer:

2,835

Step-by-step explanation:

63 x 5 = 315

63 x 4 = 252

    315

+2520

2835

The probability of 0.21 and would not warrant a refund. Therefore,  option A is the correct answer.

Given that, mean depth =0.98 mm, standard deviation =0.35 mm.

In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range.

We are given that the distribution of tire tread is a bell-shaped distribution that is a normal distribution.

Formula: [tex]Z_{score}=\frac{x-\mu}{\sigma}[/tex]

Here, P(depth less than 0.70 mm)

P(x < 0.70)

Then, P(x < 0.70)=P(z<(0.70-0.98)/0.35)

=P(z<(-0.8)

Calculating from the normal z table, we get P(z<(-0.8)=0.212

≈0.21

Thus, the probability of 0.21 and would not warrant a refund. Therefore,  option A is the correct answer.

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the ratio of the amount of watermelon juice to the amount of apple juice to the amount of orange juice in its simplest form is 12 : 27 : 14.

The ratio of the amount of watermelon juice to the amount of apple juice = 4 : 9

This can also be written as:

4 × 3 : 9 × 3

12 : 27

The ratio of the amount of apple juice to the amount of orange juice = 27 : 14

Now, the ratio of the amount of watermelon juice to the amount of apple juice to the amount of orange juice will be:

Ratio = 12 : 27 : 14

Therefore, the ratio of the amount of watermelon juice to the amount of apple juice to the amount of orange juice in its simplest form is 12 : 27 : 14.

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The solution for the equation x² – 4x – 45 = 0 is (x – 9) (x + 5)

Given,

Quadratic equation = x² – 4x – 45

We can solve this by using quadratic formula.

Equations of the form ax² + bx + c = 0 can be solved using quadratic formula.

Here the equation is in the form of above mentioned:

x² – 4x – 45 = 0

Quadratic formula = [tex]\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}[/tex]

Substitute the values in the formula,

x = [tex]\frac{-(-4)(+-)\sqrt{(-4)^{2}-4(-45) } }{2}[/tex]

x = [tex]\frac{4(+-)\sqrt{16 -4(-45)} }{2}[/tex]

x = [tex]\frac{4(+-)\sqrt{16+180} }{2}[/tex]

x = [tex]\frac{4(+-)\sqrt{196} }{2}[/tex]

x = [tex]\frac{4(+-)14}{2}[/tex]

Now, solve the equation for:

x = [tex]\frac{4+14}{2}[/tex] = [tex]\frac{18}{2}[/tex] = 9

Next, solve the equation for:

x = [tex]\frac{4-14}{2}[/tex] = [tex]\frac{-10}{2}[/tex] = -5

According to ax² + bx + c = a(x - x₁) (x - x₂),

Here, x₁ is 9 and x₂ is -5

So,

x² - 4x - 45 = ( x - 9) (x - (-5))

That is,

x² - 4x - 45 = (x - 9) (x + 5)

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Answer:

fjfj dhfj dh. hfhc hfh hfh hfh hfh hcdh

9

Step-by-step explanation:

PEMDAS

inside parentheses we have 3*2 = 6

9-6 =3

3^2 = 9

The total price of the financed is $7,973

The total finance charges are $2,272.31

The monthly payment if the vehicle is financed for 3 years is $284.59

What is the impact of trade-in allowance on selling price?

The trade-in allowance on the car's selling price reduces the total amount the car dealer would charge a tax of 8% on.

selling price net of trade in allowance=$8850-$1500

selling price net of trade-in allowance=$7,350

the selling price plus sales tax=$7350*(1+8%)

the selling price plus sales tax=$7,938.00

total cost including title fee =$7,938+$35

total cost including title fee=$7,973

finance charges for 3 years=$7,973*9.5%*3

finance charges for 3 years=$2,272.31

monthly payment=($7,973+$2,272.31)/36

monthly payment=$284.59

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Answer: (-∞, -1] and (0, 2)

Step-by-step explanation:

Can't compare f(x) = x+1 when x<=0 with g(x)=x+1 when x>-1 since the functions are equal between -1<x<=0.

Compare f(x) = 3 when x>0 with g(x)=x+1 when x>-1

g(x) can't be greater than or equal to f(x):

g(x)<f(x)

x+1<3

x+1-1<3-1

x<2 and x>0 ==> 0<x<2

0<x<2 ==> (0, 2)  ==> x is between 0 and 2 not including 0 and 2.

Compare f(x) = x+1 when x<=0 with g(x)=2x when x<=-1. Both equations have common x-values at x<=-1.

g(x)<f(x)

2x<x+1

2x-x<x-x+1

x<1 and x<=-1 ==> x<=-1

x<=-1 ==> (-∞, -1] ==> x is between -∞ and -1 not including -∞ but including -1.

(-∞, -1] and (0, 2)

Answer:

y = 2x + 5

Step-by-step explanation:

The slope is

[tex]\frac{-1-7}{-3-1}=2[/tex]

Substituting into point-slope form, we get the equation to be

[tex]y-7=2(x-1)[/tex]

which rearranges into slope-intercept form as:

[tex]y-7=2x-2 \\ \\ y=2x+5[/tex]

Answer:

12x

Step-by-step explanation:

12(5-4x)=60-48x

=12x

Using linear functions and the given table, it is found that:

A linear function is modeled by:

y = mx + b

In which:

From the table, we have that:

For the supply equation, we have two points:

(9.8, 190), (10, 220).

Hence the slope is given by:

m = (220 - 190)/(10 - 9.8) = 150.

Hence:

y = 150x + b.

When x = 9.8, y = 190, hence:

190 = 150(9.8) + b

b = -1280.

Hence:

y = 150x - 1280.

We want to find x when y = 200, hence:

200 = 150x - 1280

x = 1480/150

x = $9.87.

The quantity supplied will be equal to 200,000 at a price of $9.87.

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Answer:

A) -1

Step-by-step explanation:

Answer:

256

Step-by-step explanation:

The number of subsets of a set with n elements is 2^n.

Answer:

$2.14 per pound

Step-by-step explanation:

To find this: do 6.42 divided by 3, will give you the unit price

Using proportions, the commissions are given as follows:

5. a. $200. b. $0. c. $0. d. $200.

6. a. $250. b. $200. c. $0. d. $490.

7. a. $250. b. $800. c. $300. d. $1350.

8. a. $250. b. $800. c. $1250. d. $2300.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

For item 5, the amount is less than $5,000, hence there is a single commission of 5%, as follows:

0.05 x 4000 = $200.

Hence the amounts are:

a. $200. b. $0. c. $0. d. $200.

For item 6, the commissions are divided as follows:

For a total of $490, as 250 + 240 = 490.

Hence the amounts are:

a. $250. b. $200. c. $0. d. $490.

For item 7, the commissions are divided as follows:

For a total of $1,350, as 250 + 800 + 300 = 1350.

Hence the amounts are:

a. $250. b. $800. c. $300. d. $1350.

For item 8, the commissions are divided as follows:

For a total of $2,300, as 250 + 800 + 1250 = 2300.

Hence the amounts are:

a. $250. b. $800. c. $1250. d. $2300.

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The order of numbers from least to greatest :

0.0099998 < 0.059 < 0.09 < 0.11 < 0.111 .

Given, numbers  0.059 , 0.11 , 0.09 , 0.0099998 , 0.111 .

Ascending order : When the set of numbers are to be arranged in least to greatest order.

Descending order : When the set of numbers are to be arranged in greatest to least order.

Now the numbers are to be arranged in ascending order.

Least number : 0.0099998

Second least number : 0.059

Third least number : 0.09

Fourth least number : 0.11

Greatest number : 0.111

Thus the order of numbers in ascending order will be least to greatest .

0.0099998 < 0.059 < 0.09 < 0.11 < 0.111

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The coordinates of the vertices of A'B'C'D' after a translation will be ( 2, -1 ), ( 5, 1), ( 6, -1), and ( 5, -3) respectively.

The translation is the action of moving the image's position relative to the coordinate system. The points are translated on a coordinate plane.

Given that quadrilateral, ABCD has coordinates A (0, 2), B (3, 4), C (4,2), and D (3,0).

The translation of the points will be done as below:-

A(0, 2)  ⇒  ( 2, -1 )

B (3, 4) ⇒   ( 5, 1)

C (4,2) ⇒   ( 6, -1)

D (3,0) ⇒   ( 5, -3)

Therefore, the coordinates of the vertices of A'B'C'D' after a translation will be ( 2, -1 ), ( 5, 1), ( 6, -1), and ( 5, -3) respectively.

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The range of the given function is B. {y | y = –7, –1, 0, 9}  

It should be noted that ee usually denote independent variable as x and dependent variable as y.

The range of a function is basically the set of all resulting y-values.

Given the first column is labeled x with entries - 5, 1, 4, 6. The second column is labeled y with entries 9, 0,-7, -1.

Then, the  range of the given function = values in second columns

i.e. Range={y | y = –7, –1, 0, 9}  [Arranged in order].

In conclusion, the correct option is B.

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a) reflection in the line x = -2 is P'Q'R' is shown.

b) The coordinates of image P'Q'R' are

(-12, 0), (-18, -9), R(-5,-5) respectively.

Part a) reflection in the line x = -2

When the triangle PQR with the coordinates P(-4, 0), Q(-6, -3), and R(-5,-5) made a reflection along the x = -2, the coordinates of the image are obtained as;

See the graph; image triangle P'Q'R';

P' = (0, 0)

Q' = (2, -3)

R' = (1, -5)

Part b) dilation with scale factor of 3 using (-1, -4) as the center.

Let the coordinates are;

(x, y) ---> (kx, ky); where k is the scale factor i.e, 3.

This can be written as; (3x, 3y).

For the point  P(-4, 0).

The image of P' = (-4×3, 0×3) = (-12, 0)

For the point  Q(-6, -3)

The image of Q' = (-6×3, -3×3) = (-18, -9)

For the point R(-5,-5)

The image of P' = (-5×3, -5×3) = (-15, -15)

Therefore, the image with the dilation of scale factor of 3 is P'Q'R' are

(-12, 0), (-18, -9), R(-5,-5) respectively.

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Answer:

$7

Step-by-step explanation:

If the total spending is $21, and he bought 3 items, we have to divide 21 by 3 and that makes 7

Hope it helped!

Answer:

7

Step-by-step explanation:

because each item is the same

let the item be 3x=21(given)

so x=21/3

therefore x = 7

come on this is easy

The digits for the missing number are 1, 2, 3, 4.

The difference between her vault score and her uneven bar score is 0.367

The floor score must be higher than 15.133 and lower than 15.500

The missing digit must be an integer.

Then all the possible scores are: 15.166 , 15.266 , 15.366 and 15.466

Because 15.166 > 15.133 and 15.466 < 15.500

Then all the possible digits are 1 , 2 , 3 , 4

The difference between her vault score and her uneven bar score is  

= 15.500 - 15.133

= 0.367

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Ana’s gymnastics scores were posted on the scoreboard in order from highest to lowest score. One digit in her floor score is not visible. List all the possible digits for the missing number.

Vault- 15.500

Floor- 15._66

Uneven Bars- 15.133

Beam- 14.200

What is the difference between her vault score and her uneven bar score?

The reason why multiplying a number by 10 moves the decimal to the right is because the number is increasing. When the decimal moves left when multiplied by 0.01, the number is decreasing.

When you multiply by powers of 10 which are positive, the number that is being multiplied will see its decimal move to the right. This is to show that the number is now increasing in value.

When you multiply by 0.01 however, the number will decrease and so the decimal will have to move left to show that the value of the number has decreased. For instance, 50 x 0.01 becomes 0.5.

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Answer: y = 2x - 3

Step-by-step explanation:

y = mx + b

y + 2x - 3

The polynomials that match with other equivalent expressions are :

(a) → (iii), (b) → (ii), (c) → (iv), (d) → (i)

Consider the polynomials,

(a) 4x² + 18x                                (i) 2x(2x + 1)

(b) 4x² + 2x + 18x +9                   (ii) (2x + 1)(2x +9)

(c) (2x + 3)(2x + 3)                       (iii) 2x(2x + 9)    

(d) 4x² + 2x                                   (iv) 4x² + 12x + 9

Now,

Consider the polynomial 2x(2x + 1),

2x(2x + 1) = 2x(2x) + 2x(1)

2x(2x + 1) = 4x² + 2

Therefore, (d) is equal to (i).

Consider the polynomial 2x(2x + 9),

2x(2x + 9) = 2x(2x) + 2x(9)

2x(2x + 9) = 4x² + 18x

Therefore, (a) is equal to (iii).

Consider the polynomial (2x + 1)(2x +9) ,

(2x + 1)(2x +9)  = (2x)(2x) + (2x)(9) + (2x)(1) + 9

(2x + 1)(2x +9) = 4x² + 18x + 2x + 9

Therefore, (b) is equal to (ii).

Consider the polynomial (2x + 3)(2x + 3),

(2x + 3)(2x + 3) = (2x)(2x) + (2x)(3) + (3)(2x) + 9

(2x + 3)(2x + 3) = 4x² + 12x + 9

Therefore, (c) is equal to (iv).

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The complete question is mentioned below:

Match the polynomial on the left with the appropriately factored expression on the right.

(a) 4x² + 18x                                (i) 2x(2x + 1)

(b) 4x² + 2x + 18x +9                   (ii) (2x + 1)(2x +9)

(c) (2x + 3)(2x + 3)                       (iii) 2x(2x + 9)    

(d) 4x² + 2x                                   (iv) 4x² + 12x + 9

Answer:12

Step-by-step explanation:

cuz yes