Given two points, (5, –8) (–2, 6), what is the equation of the line containing them both?

Answer:

16.5 lbs

Step-by-step explanation:

Answer:B. x+1

Step-by-step explanation:6x^3+6 = 6(x^3+1) = 6(x+1)(x^2-x+1)

Step-by-step explanation:

The ONE  solution to this system of two lines is the point where the two lines cross   at   (1,4)

In the given similar triangles below, we have to find the measure of Dwrite. Triangle 1, ABC, is similar to Triangle 2, DEF. The two triangles are similar because their corresponding angles are congruent and their sides are proportional.

In order to find the measure of Dwrite, we can use the concept of proportionality. The sides of similar triangles are proportional to each other.

This means that if we know the ratio of the sides of one triangle, we can use that ratio to find the corresponding sides of the other triangle. We can use this property to find the value of Dwrite.

To start, let's write down the ratio of the sides of Triangle 1 and Triangle 2. We can choose any two corresponding sides to do this, but we'll choose AB and DE because they are easiest to measure: AB/DE = 6/8.5We know that the measure of AB is 6, so we can solve for the measure of DE: DE = AB x (DE/AB)DE = 6 x (8.5/6)DE = 8.5Now we know that the measure of DE is 8.5.

We can use this to find the measure of Dwrite. We know that DE and Dwrite are corresponding sides of Triangle 2 and Triangle 1, respectively.

So we can write a proportion using the ratio of DE to Dwrite: DE/Dwrite = 8.5/xWe know that DE is 8.5, so we can substitute that in:8.5/Dwrite = 8.5/Now we can solve for x by cross-multiplying:8.5x = 8.5Dwrite = 1Therefore, the measure of Dwrite is 1.

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Answer:

Step-by-step explanation:

Since we are not given the value of P, |Q|, R and S, we can as well assume values for them for the sake of this question.

Let P = 5, |Q| = 6, R =7 |S| = 2

Note that since Q and S are in modulus sign, they can return both positive and negative values.

P+Q = 5 + 6 (note that the positive value of Q is used since we need the greatest value of P+Q)

P+Q = 11

Hence the greatest value of P+Q is 11

For the least value of P+Q, we will use the negative value of Q as shown

P+Q = 5+(-6)

P+Q = 5-6

P+Q = -1

Hence the least value of P+Q is -1

Similarly:

R+S = 7 + 2 (note that the positive value of S is used since we need the greatest value of R+S)

R+S = 9

Hence the greatest value of R+S is 9

For the least value of R+S, we will use the negative value of S as shown

R+S = 5+(-2)

R+S = 5-3

R+S = 2

Hence the least value of P+Q is 2

NOTE THAT THIS ARE ASSUMED VALUES. ALL YOU NEED IS TO PLUG IN THE VALUES OF P, Q and R THAT YOU HAVE IN CASE THE VALUES DIFFERS.

Answer: 8

a

−

12

b

Explanation:

4

(

2

a

−

3

b

)

=

4

×

(

2

a

−

3

b

)

=

4

×

2

a

−

4

×

3

b

=

8

a

−

12

b

Step-by-step explanation:

8

a

−

12

b

Explanation:

multiply each term in the parenthesis by the 4

⇒

4

(

2

a

−

3

b

)

=

(

4

×

2

a

)

+

(

4

×

−

3

b

)

=

8

a

+

(

−

12

b

)

=

8

a

−

12

b

The initial population size is 2800

The function represents growth

The percentage through which the population size changes is given as 7%.

The formula is given as

\(Po = 2800 (1.07)^t\)

From the formula that we have above, the initial population size is given as 2800.

We have p = P₀(1 + r)^t

where 1 + r = 1.07

We are to find the value of r

r = 1.07 - 1

r = 0.07

Given that the value of r is positive, this is the representation of a growth.

The percentage through which the change would occur = 0.07 x 100

= 7%

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Answer:

108.50

Step-by-step explanation:

First find the wages

11* 6 = 66 dollars

Then figure the commission

10% of 425

.10 * 425

42.5

Add the two amounts together

42.5+66

108.50

Answer:

\(\frac{-1}{4} x^{2}\)

\(\frac{-1}{4} g(x)\)

Step-by-step explanation:

Answer:

176.6 dm^2

Step-by-step explanation:

See attached image.

Answer:

I need help with this to!

Answer:

Step-by-step explanation:

Janelle is viewing an image of a sculpture. She enlarges it using a scale of 0.2 cm to 1/8 ft.

To Find :

How many centimetres in the image are used to show 1 foot of the sculpture.

Solution :

Ratio of enlargement is :

Let, enlarged size of 1 foot required x cm of image.

Therefore, 1.6 cm of image is required.

Hence, this is the required solution.

Answer:

i. daily charge = £13

ii. fixed charge = £6

Step-by-step explanation:

Number of days (x) | Cost in £ (y)

1 | 19

2 | 32

3 | 45

4 | 58

5 | 71

Using the given table, we can represent this situation with an equation in slope-intercept form, y = mx + b, where,

m = slope = daily charge

b = y-intercept = fixed charge

✔️Thus, using the coordinates of any two given pairs, say (1, 19) and (2, 32):

Slope (m) = ∆y/∆x = (32 - 19)/(2 - 1) = 13/1

Slope (m) = 13

Therefore daily charge = £13

✔️To find y-intercept (b), substitute (x, y) = (1, 19) and m = 13 into y = mx + b.

Thus:

19 = (13)(1) + b

19 = 13 + b

b = 19 - 13

b = 6

Therefore, fixed charge = £6

✔️Substitute m = 13 and b = 6 into y = mx + b to represent the function given for the situation:

y = 13x + 6

We want to determine the slope of the equation;

We need to express the equation in the slope-intercept form;

where m is the slope and c is the intercept.

Firstly, let's multiply the equation through by 3;

Then, let's subtract (3/2)x from both sides;

comparing the resulting equation to the slope-intercept form of straight line equation, then the slope is the coefficient of x;

The slope of the line is -3/2

Answer:

y=96

Step-by-step explanation:

Important information:

y=x^2(2+4)

x=4

Explanation/Solution:

y=x^2(2+4)

y=4^2(2+4)

y=16 (2+4)

y= 16 · 6 =

y=96

Key features for the graph given in the problem will be-:Vertex (-1, -5), Axis of symmetry=> (x = -1), y-intercept (0,-3), Minimum=> (y=-5), Domain=> (All Real), Range=>( y >= -5)

Refering to the graph given in the problem(refer image attached).The key features of the graph can be given as:

The graph has an upward-opening form, an axis of symmetry at x = -1, a y-intercept at (0, -3), a minimum point at y = -5 (which is also the vertex), and it spans all real numbers on the x-axis (domain) while being larger than or equal to -5 on the y-axis (range).

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Answer:

lily has a larger ratio

Step-by-step explanation:

Answer:

Step-by-step explanation: 6.140

Answer:

Multiples of 4= 28

Multiples of 7= 7,21,28,35,42

Step-by-step explanation:

I hope this helps, and have a great day! :)

Answer:

U can tell it b doing 5+7_1

Step-by-step explanation:

To find the common roots between two functions, we need to find the roots (or solutions) of each function individually and then identify the shared solutions.

For the function f(x) = x^2 + x - 6, we can find the roots by setting the function equal to zero and solving for x:

x^2 + x - 6 = 0

To factorize this quadratic equation, we need to find two numbers that multiply to -6 and add up to 1 (the coefficient of x). The numbers that satisfy these conditions are 3 and -2:

(x + 3)(x - 2) = 0

Setting each factor equal to zero:

x + 3 = 0 or x - 2 = 0

Solving for x in each equation:

x = -3 or x = 2

Therefore, the function f(x) = x^2 + x - 6 has two roots: x = -3 and x = 2.

To find the common roots between this function and another function, we would need to know the second function. If you provide the second function, I can help determine if there are any shared roots.

Onto but not one-to-one. is f(x)  which is obtained by removing the second bit from x and placing the bit at the end of the string.

The function f is said to be "onto" because it maps every element in its codomain (the set of possible output values) to at least one element in its domain (the set of possible input values). In this case, the codomain is the set of all binary strings of length 3, and the domain is the set of all binary strings of length 2. However, the function is not one-to-one, because there are multiple elements in the domain that are mapped to the same element in the codomain. For example, both "10" and "01" are mapped to "100". This means that the function f is not one-to-one, meaning that it doesn't map every element in its domain to a unique element in its codomain. A function is said to be one-to-one if every element in its domain (the set of possible input values) is mapped to a unique element in its codomain (the set of possible output values). In other words, no two elements in the domain have the same image (output) under the function. A function is said to be onto if every element in the codomain is mapped to by at least one element in the domain. In other words, every element in the codomain has at least one pre-image (input) under the function. In the case of the function f described in the previous question, it is onto because every binary string of length 3 can be obtained as the output of the function for some binary string of length 2. However, it is not one-to-one because there are multiple binary strings of length 2 that are mapped to the same binary string of length 3. For example, both "10" and "01" are mapped to "100".

So, the function f is described as "onto but not one-to-one".

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Answer:

72 = 19x

Step-by-step explanation:

We're told that one child attended, meaning we can subtract $6 from the total of $78. Then we just need to divide $72 by 19. These numbers leave you with an incomplete adult but it is the correct equation.

the x-intercepts are all the x coodinates in which the function will be equal to 0

to find the x intercepts equal the equation to 0

equal all factors involving the x to 0 because if there is any factor equal to 0 then the product between of al products will be 0 as well

solve both of the equations

the x-intercepts will be

(-4,0) & (6,0)

The term that  best describe this graph attached is

does not have an outlier

An outlier is a data point that significantly deviates from the general pattern or trend of a dataset. It is an observation that is noticeably different from other data points in terms of its magnitude or value.

Outliers can be either unusually high (positive outliers) or unusually low (negative outliers) compared to the rest of the data.

The graph is not exactly uniform even though it is not skewed

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Answer:

38

Step-by-step explanation:

f(x)=6x+2

6x6 (6 sqaured)

f(36)=36x+2

Now we add 36+2

        38

Answer:

14 and 50 :)

Step-by-step explanation:

147 square meters.

We can break it up into two rectangles, then add the values together.

\(a = b \times h\)

Rectangle #1 (verticle)

\(a = (6) \times (15 + 3)\)

\(a = (6) \times (18)\)

\(a = 108m^{2} \)

Rectangle #2 (horizontal)

\(a = (13) \times (3)\)

\(a = 39 {m}^{2} \)

Add them together:

\(39 {m}^{2} + 108 {m}^{2} = 147 {m}^{2} \)

Answer:

volume is 8 times larger and surface area is about 2.7 times larger

Step-by-step explanation:

a)24 in³ b) 76 in² c) volume is 8 times larger and surface area is about 2.7 times larger.