Find, in gradient-intercept form, the equation of a line which has:

a gradient of -4/5 and which passes through (4,-2)

The Solution in inequality form is 7 ≤ x ≤ 10.

The Solution in interval notation: [7,10].

Given the data in the question;

-x - 8 ≤ -15 and -18 ≤ -x - 8

To solve, simplify the first part of the inequality by solving for x.

-x - 8 ≤ -15

Add 8 to both sides

-x - 8 + 8 ≤ -15 + 8

-x ≤ -7

Divide both sides by -1

Note that when dividing both sides of an inequality by a negative value, the inequality sign flips direction.

-x/-1 ≥ -7/-1

x ≥ 7

Next, simplify the second part of the inequality by solving for x

-18 ≤ -x - 8

Rewrite as

-x - 8 ≥ -18

Add 8 to both side

-x - 8 + 8 ≥ -18 + 8

-x ≥ -10

Divide both sides by -1

Note that when dividing both sides of an inequality by a negative value, the inequality sign flips direction.

-x/-1 ≤ -10/-1

x ≤ 10

Now, the intersection consist of the elements that are contained in both intervals.

The Solution in inequality form is 7 ≤ x ≤ 10.

The Solution in interval notation: [7,10].

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Answer: 3.8

Step-by-step explanation:

25.0

-

21.2

--------------

3.8

Answer: 5.2

Step-by-step explanation:

If we put both points on a grid, Jordan's house would be 4 points above and 3 points to the left of Ca'Miyah's. We can plug these two amounts into the pythagorean theorem to find the distance between the houses: 4^2 + 3^2 = x^2. If we solve this equation, we get 5.196, which rounds to 5.2.

Hope this helps!

The value of 5x + 5y is 2500 by substitution method.

According to the given question.

We have two equations

2x + 3y = 1200

3x + 2y = 1300

Since, we have to find the value of 5x + 5y by substitution method.

From equation 2x + 3y = 1200

2x = 1200 - 3y

⇒ x = [1200 -3y]/2

Substitute the value of x in 3x + 2y = 1300.

⇒ 3[1200 - 3y]/2 + 2y  = 1300

⇒   3[600 -3y/2] + 2y = 1300

⇒ 1800 - 9y/2 + 2y  = 1300

⇒ 1800 + (4y - 9y)/2  = 1300

⇒ (4y - 9y)/2  = -500

⇒ -5y = -1000

⇒ y = 200

So,

x = [1200 - 600]/2  = 600/2 = 300

Thereofore, the value of 5x + 5y by substitution method is given by

5(300) + 5(200)

= 1500 + 1000

= 2500

Hence, the value of 5x + 5y is 2500 by substitution method.

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Answer: 19

Step-by-step explanation:

2+1+1+12+3=19

The probability of either A or B occurring will be 0.8.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

Being connected in a way that one excludes or prevents the other events from happening also: completely at odds despite the fact that their viewpoints did not conflict.

Suppose that A and B are mutually exclusive events for which P(A) = 0.3 and P(B) = 0.5.

Then the probability of either A or B occurring will be

P(AUB) = P(A) + P(B)

P(AUB) = 0.3 + 0.5

P(AUB) = 0.8

The probability of either A or B occurring will be 0.8.

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An expression is a set of terms combined using the operations +, -, x or ÷, for example 4 x − 3 or 5 x 2 − 3 x y + 17 . An equation is a statement with an equals sign, which states that two expressions are equal in value, for example 4 b − 2 = 6

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7.

50

6m-n

Let m = 9 and n = 4

when m = 5 and n = 38

N-6m6*9-4

Multiply first

54-4

Then subtract

50

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Answer:

84.42

Step-by-step explanation:

21 times 4.02

= 84.42

Answer: $84.42

Step-by-step explanation:21x 4.02

Answer:

A is least

Step-by-step explanation:

A= 560

B= 630

C= 568

D= 639

If you do 7 x 10 which equals 70 then do 70 by the power of 8 which is multiplying 70 8 times, you get 560 which is the least equation/answer out of all of them.

Answer:

A is the answer

Step-by-step explanation:

Since a and c are to the power of 8 while b and d are to the power of nine, it's between a and c

A.10*8=100000000×7= 700000000

C.10*8=100000000×7.1=710000000

Step-by-step explanation:

the line equation is in the slope-intercept form.

that looks like

y = ax + b

"a" is the slope (always the factor of x). "b" is the y-intercept (the y value when x = 0).

so, when it says "the same slope", we know we have to use the same factor of x.

and yes, the coordinates of a point are (x, y). so, you really need to use it in the places of x and y to get "b".

9.

y = -4x + b

2 = -4×0 + b = b

so, yes, the equation is

y = -4x + 2

but as you can see : b is NOT y in general.

10.

y = 2/3 x + b

-1 = 2/3 × 4 + b = 8/3 + b

now, let's multiply both sides by 3 to get rid of the fraction :

-3 = 8 + 3b

-11 = 3b

b = -11/3

so, the equation is

y = 2/3 x - 11/3

or

y = 1/3 × (2x - 11)

Answer:

x = 35° , y = 125°

Step-by-step explanation:

y and 55° lie on the straight line and sum to 180° , that is

y + 55° = 180° ( subtract 55° from both sides )

y = 55°

x and 55° form a right angle and sum to 90° , that is

x + 55° = 90° ( subtract 55° from both sides )

x = 35°

Answer:

13.2287566

Step-by-step explanation:

What Is the Square Root of 175? The square root of 175 is defined as the value obtained on the multiplication of an integer by itself which will give the final product as 175. As there is no such integer which on multiplication with itself will give 175 exactly, the square root of 175 is not a whole number.

The increase in the money supply that causes prices to rise and leads to inflation, loses purchasing power.

What is inflation?

Inflation refers to the persistent rise in the general prices of commodities in the economy over a period of time. If the prices of goods and services increase in an economy without an increase in income of people, it reduces the purchasing power of individuals.

This follows the law of demand which states that; the higher the price, the lower the quantity demanded; the lower the price, the higher the quantity demanded.

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Answer:

the volume increases by a factor of  27

Step-by-step explanation:

pretend that the volume V can be

V=l×w×h 'l' is length, 'w' is width, and 'h' is height. Let's increase all of those measures by a factor of 3.

The new volume will be V': V'=3l × 3w × 3h

we can rearrange:V'=3×3×3×l×w×h

we now have l×w×h by itself: V'=3^3 ×l×w×h=3^3×V

You can now see that if all the linear dimensions of the prism are tripled, we get an increase of 3^3 to the original volume:

V'=27V

It is appropriate to use a sample at

Options A, C, and D

This is further explained below.

Generally, Placement with respect to one's immediate environment; is the manner in which something is arranged. the whole physical, social, and psychocultural influences that operate upon a person to direct and control his or her conduct is referred to as an individual's environmental context.

In conclusion, It is OK to utilize a sample while answering the following question: What proportion of people who drive pick-up trucks want their next vehicle purchase to be another pick-up truck?

How many people do you think would utilize a walkway that was constructed over a major road? Alternatives A, C, and D

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Answer:

Step-by-step explanation:

Take 1325-35=1290. 1290/30= 43. She will be able to learn 43 Yoga for 43 months.

Answer:

Domain: [tex]x > -5[/tex] or [tex](-5,\infty)[/tex]

Range: [tex]y\geq -3[/tex] or [tex][-3,\infty)[/tex]

Step-by-step explanation:

The domain is essentially the set of x-values in a given graph. In this graph. we see that the lowest x-value is an unfilled dot when x=-5. The unfilled dot means that the function [tex]f(x)[/tex] doesn't include -5. We then see that the x-value goes to positive infinity. This means that [tex]x[/tex] must be greater than -5. It is not greater or equal to -5 because the dot is not filled.

Therefore, we have that [tex]x > -5[/tex]. To convert to interval notation we can take the lower value (-5) and put it on the left side and put the higher value ([tex]\infty[/tex]) and put it on the right side. Since the graph doesn't include -5, we can put parentheses around both values to get [tex](-5,\infty)[/tex].

Note: We always put parentheses around both [tex]\infty[/tex] and [tex]-\infty[/tex].

The range is basically the same as the domain but with the y-value. We can see that the lowest y-value is y=-3. This includes -3 since the line fills the point in. Then we see that the highest y-value is once again positive infinity. This means that [tex]y\geq-3[/tex].

Now when we convert to interval notation, we have -3 and [tex]\infty[/tex]. This time since y=-3 is included in the function, we put a hard bracket around -3. Thus, we get [tex][-3,\infty)[/tex].

Hope this helps!

The value of complex number 6 + 7i / 6-7i is -13 / 85 + 84i/85

Complex numbers are those that are represented as a+ib, where a and b are actual numbers and I is a fictitious number termed a "iota." I has the value (-1). As an illustration, the complex number 2+3i is made up of the real number 2 (Re) and the imaginary number 3i (Im).

Given the complex number is -

6 + 7i / 6-7i

⇒ 6 + 7i / 6 - 7i × 6 + 7i / 6 + 7i

⇒ (6+7i)² / 6² - 7²(i²)

Using (a+b)² = a² + b² + 2ab    

⇒ 6² + (7i)² +2(6)(7i) / 36 - 49(-1)

⇒ 36 - 49 + 84i / 36 + 49

⇒ -13 + 84i / 85

⇒ -13 / 85 + 84i/85

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Answer:

x=36

y=144

Step-by-step explanation:

ABD=2x

z rule

BDE=2X

therefore 2x+3x=180

5x=180

x=36

solving for y

180-y+2x+2x=180

y=4x

y=4(36)

y=144

The explicit formula, for the arithmetic sequence 3, 7, 11, 15,... is an = 4n - 1

An ordered group of integers with a shared difference between each succeeding word is known as an arithmetic sequence. For instance, the common difference in the arithmetic series 3, 9, 15, 21, and 27 is 6. An arithmetic progression is another name for an arithmetic sequence.

For the arithmetic sequence,

3, 7, 11, 15,...

a = 3,

d = 7 - 3 = 4

So, an = a + (n - 1)d

an = 3 + (n - 1)4

an = 4n - 1

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The cost of 18 Apples at the same rate is $2.25

cost for 8 apples = $1.00

cost of 1 apple = 1.00/8

$0.125 for one apple

cost of 18 apples = 18*0.125 =$ 2.2 5

Here in the given sum we have used simple unitary method concept like in the 1st line we noted the cost of 8 apples that is given in  the question that is equall to $1.00. In the next step we found the cost of 1 apple simply by dividing 1.00/8 that amouted to $0.125. In the last stage we have calculated the  amount for 18 apples that amouted to $2.25 . We have simply multiplied 18 apples with the cost of 1 apple that is $0.125 which amouted to $2.25

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The final length of Juanita recording after editing was completed was 7/6

To solve this exercise, we have to state the equation using the information of the problem:

Information about the problem:

Transforming the mixed number to fraction, we get:

1 1/2 =

[(2*1)  +1]  /2

(2+1)/2

3/2

Calculating the final length of the recording, we have:

Final length = Recorded - deleted

Final length = 3/2 - 1/3

Final length = (9-2) / 6

Final length = 7/6

They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

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Answer: 180 minutes

Step-by-step explanation:

300/60

5-2=3

3x60=180

Step-by-step explanation:

18.

[tex] = { ({x}^{2}) }^{ - 3} .2 {x}^{3} [/tex]

[tex] = {x}^{2 \times ( - 3)} .2 {x}^{3} [/tex]

[tex] = {x}^{ - 6} .2 {x}^{3} [/tex]

[tex] = 2 {x}^{ - 6 + 3} [/tex]

[tex] = 2 {x}^{3} [/tex]

[tex] = \frac{2}{ {x}^{3} } [/tex]

[tex] \: [/tex]

19.

[tex] = {(2m)}^{2} . {(3 {m}^{3} )}^{2} [/tex]

[tex] = {2}^{2} {m}^{2} . {3}^{2} {m}^{3 \times 2} [/tex]

[tex] = 4 {m}^{2} .9 {m}^{6} [/tex]

[tex] = (4 \times 9) {m}^{2 + 6} [/tex]

[tex] = 36 {m}^{8} [/tex]

The required two numbers are 6 and 8.

Let us denote the required numbers by c and d.

Given that the difference between two natural numbers is 2.

If we assume d > c, then d – c = 2

⇒ d = 2 + c → equation 1.

Also given that the sum of their squares is 100.

⇒ c² + d² = 100

⇒ c² + (2 + c)² = 100 (using the value of d from equation 1)

⇒ 2c² + 4c + 4 = 100

⇒ 2c² + 4c = 96

⇒ 2c(c+2) = 96

⇒ c(c+2) = 48

Using the factorization for 48, we get 6 × 8 = 48

⇒ c = 6

⇒ c+2 = 8

⇒ d = 8

Therefore, the required two numbers are 6 and 8.

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The value of f(0) is -1

A function can be defined as an expression, law or rule that explains the relationship between two variables; a dependent and an independent variable.

Given the function;

f(x)= -x - 1

To determine f(0), we substitute the value of x as 0 in the function

So, we have;

f(0) = -(0) - 1

f(0) = -0 - 1

f(0) = -1

Thus, the value of f(0) is -1

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Answer:

f(5) = 104

Step-by-step explanation:

To find the value of f(5), we have to plug in 5 into our equation f(x) = 20x + 4.

f(5) = 20(5) + 4

Following our order of operations, we multiply first, then add to get our answer.  

f(5) = 20(5) + 4

f(5) = 100 + 4

f(5) = 104

The cost of 5 nights of camping is $104.

Answer: 68

Step-by-step explanation: do 75+37 which equals 112 then subtract 180 by 112 which equals 68

hope this helps

Answer:

A

Step-by-step explanation:

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

x + 37° + 75° = 180° , that is

x + 112° = 180° ( subtract 112° from both sides )

x = 68°

Answer:

Step-by-step explanation:

Answer:

What is the question so I can answer