(-5,-7),(0,-5),(5,-3) Determine the intercepts of the line that passes through the following points.


x-intercept ( , )

y intercept ( , )

Answer:

1/8

Step-by-step explanation:

The relations can be written as ...

... blue = (3/5)×shirt

... sale = (5/8)×blue

... medium = (1/3)×sale

Substituting, we get

... medium = (1/3)×((5/8)×((3/5)×shirt)) = (1·5·3)/(3·8·5) × shirt = (1/8)×shirt

_____

1/8 of the shirts in the shop are medium blue T-shirts on sale.

Drop all the minus signs (change them to +) to get your answers:

37, 2.987, 54, 2/3, 45

In the attachment, the original parallelogram is shown in red. Its image is shown in blue. The purple parallelogram is the original reflected across the y-axis. You can see that it becomes the blue parallelogram if rotated 90° clockwise around the origin.

The appropriate choice is ...

... a reflection over the y-axis and then a 90 degree clockwise rotation about the origin

Answer:

B. a reflection over the y-axis and then a 90degree clockwise rotation about the origin

Step-by-step explanation:

I just did it, and all was well! :) :) :)

Answer:

(-2.5, ∞)

Step-by-step explanation:

You can add the opposite of the right side.

5.1(3 +2.2x) +14.25 +6(1.7x +4) > 0

15.3 +11.22x +14.25 + 10.2x +24 > 0 . . . eliminate parentheses

21.42x +53.55 > 0 . . . . . . . . . . . . . . . . . . collect terms

x + 2.5 > 0 . . . . . . . . . . . . . . . . . . . . . . . . .divide by the coefficient of x

x > -2.5 . . . . . . add the opposite of the constant

(- 2.5, ∞ )

distribute parenthesis on both sides of inequality and simplify

15.3 + 11.2x > - 14.25 - 10.2x - 24

15.3 + 11.2x > - 38.25 - 10.2x ( add 10.2x to both sides )

15.3 + 21.42x > - 38.25 ( subtract 15.3 from both sides )

21.42x > - 53.55 ( divide both sides by 21.42 )

x > - 2.5

solution x ∈ (- 2.5, ∞ )

Answer:

The answer will be 3.55

Step-by-step explanation:

Answer:

3.55

Step-by-step explanation:

26.30 - 22.75 = 3.55

So, you got it right.

[tex]Echy[/tex]

Short answer: you don't.

The linear term in the numerator of the integral means the form shown is not applicable. Rather, you perform the integration using partial fraction expansion.

[tex]\displaystyle\int{\frac{5x+1}{25x^2+60x-13}}\,dx=\int{\frac{5x+1}{(5x-1)(5x+13)}}\,dx\\\\=\frac{1}{35}\int{\frac{5}{5x-1}}\,dx+\frac{6}{35}\int{\frac{5}{5x+13}}\,dx[/tex]

The integral is ...

... (1/35)ln|5x-1| +(6/35)ln|5x+13| +C

_____

If the numerator of your integral were a constant, then the fractions multiplying the separate partial fraction integrals would have the same magnitude and opposite signs. You would end with the difference of logarithms, which could be expressed as the log of a ratio as shown in your problem statement.

Answer:

B. 120

Step-by-step explanation:

2cos x + 1 = 0

2 cos x = -1

cos x = -1/2

x = cos^1(-1/2)

(cos inverse (-1/2))

x = 120°

- a³m³

each term inside the parenthesis is raised to the power of 3

note that (- 1 )³ = - 1, thus

(-am)³ = - a³m³

- 3, - 9.6 and - 22.8

to generate the first, fourth and tenth term substitute n = 1, 4, 10 into the rule

a(1) = - 3 + 0 = - 3

a(4) = - 3 - 6.6 = - 9.6

a(10) = - 3 - 19.8 = - 22.8

y + 3 = [tex]\frac{2}{3}[/tex] (x - 5)

the equation of a line in point- slope form is

y - b = m ( x - a )

where m is the slope and (a, b) a point on the line

here m =[tex]\frac{2}{3}[/tex] and (a,b) = (5 , - 3 )

y + 3 = [tex]\frac{2}{3}[/tex] (x - 5 ) ← in point-slope form

The equation of the line that passes through the point (5, -3) and has a slope of 2/3 is y = 2/3x - 19/3, using the point-slope form for the equation of a line.

The line that you're looking for can be represented using the point-slope form of a linear equation. This form is written as y - y1 = m(x - x1), where (x1, y1) are the coordinates of a point on the line and 'm' is the slope of the line. For a line that passes through the point (5, -3) and has a slope of 2/3, you replace x1 with 5, y1 with -3, and m with 2/3. So, the equation of the line becomes y - (-3) = 2/3(x - 5), which simplifies to y + 3 = 2/3x - 10/3. Further simplifying, we get y = 2/3x - 10/3 - 3, or y = 2/3x - 19/3.

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co·ef·fi·cient

ˌkōəˈfiSHənt/Submit

noun

1.

MATHEMATICS

a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g., 4 in 4x y).

So your answer is 3

3 because the number 3 in 3x is a coefficient and the x is the variable.

hope that helps :)

We have a rectangular garden. The length of the garden is 7 feet longer than its width.

Lets say the width of the garden is 'x' feet. So, the length of the garden must be [tex](x+7)[/tex] feet.

Length [tex]=(x+7)[/tex] feet

Width [tex]=x[/tex] feet

We have been given that the perimeter of the garden is 186 feet.

Now as we know that the perimeter of the rectangle is:

[tex]2(length+width)[/tex]

Plugging the values of length and width in the equation, we get:

Perimeter [tex]= 2((x+7)+x)=2(2x+7)=4x+14[/tex]

We know that perimeter of the garden is equal to 186 feet,

So,

[tex]186=4x+14[/tex]

Solving for 'x' we get:

[tex]4x+14=186[/tex]

[tex]4x=186-14=172[/tex]

[tex]x=\frac{172}{4} =43[/tex]

We had assumed that the width of the garden is 'x' feet and now that we have the value of 'x'. We can say that:

The width of the rectangular garden is 43 feet.

The width of the garden is found by using the perimeter formula for a rectangle and the given information that the length is 7 feet longer than the width. Solving the resulting equation gives a width of 43 feet.

To find the width of the garden, we use the fact that the perimeter (P) of a rectangle is given by the formula P = 2l + 2w, where l is the length and w is the width. We are told that the length is 7 feet longer than the width, so we can express the length as w + 7. Substituting the given perimeter of 186 feet, we set up the equation as follows: 186 = 2(w + 7) + 2w. Simplifying further, we get 186 = 4w + 14. Subtracting 14 from both sides gives us 172 = 4w and dividing both sides by 4, we find w = 43. Therefore, the width of the garden is 43 feet.

The median is the middle number in order of the set of values:

2, 4, 8, 10, 12

8 is the median in the set of values!

Answer:

its 8

Step-by-step explanation:

No

Adam will be 14, and it is 8 more than 6.

We have given that,

Adam is three years younger than twice bobs age. in 5 years Adams's age will be 8 years more than bobs age.

We have to determine the what are their 2 ages.

The age of majority is the age when children legally become adults.

Adam is 9 years old and Bob is 6.

Twice Bob’s age is 12, and three years younger than that is 9.

If Adam is 9 now then in five years, Adam will be 14, which is 8 more than 6.

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Answer:

 So the water level of pond reduces by 8.16 centimeter over 25.5 days.

Explanation:

 Average change in pond's water level = -0.32 centimeter.

 Duration considered for taking the average of change in pond's water level = 25.5 days.

 Total change in the pond's water level = -0.32*25.5 = -8.16 centimeter

So the water level of pond reduces by 8.16 centimeter over 25.5 days.

c = 2b

a = [tex]2\sqrt{3}[/tex]

b = ?

Use Pythagorean equality:

[tex]c^2 = a^2 + b^2\\b^2 = c^2 - a^2\\b^2 = 4b^2 - 12\\b^2 = 4\\[/tex]

b can be only positive so the solution is b=2

The slope of y = -x is m = -1.  Thus, starting with the slope-intercept form y = mx + b, we substitute -1 for m, 8 for x and 2 for y, to determine the vaue of b:

2 = -1(8) + b, or 10 = b.  Then the equation of the line parallel to y = -x and passing thru (8,2) is:

y = -x + 10.

given a linear equation in slope- intercept form y = mx + c

where m is the slope and c the y -intercept

the slope of a line perpendicular to it is - [tex]\frac{1}{m}[/tex]

If equation is y = 2x + 3 ( with slope m = 2 )

then the perpendicular slope = - [tex]\frac{1}{2}[/tex]

For quadratics, these formulas are used mainly for factoring.

Your equation can be written as ...

... 2(x² +2x -3) = 0

You factor this by looking for factors of -3 (c=x1·x2) that add to give +2 (b=-(x1+x2)). These are {-1, +3}, so the factorization is ...

... 2(x -1)(x +3) = 0

The roots are then 1 and -3, which sum to -b = -2.

(You will note that the numbers used in the binomial factors are the opposites of the roots x1 and x2 in the Viete's Formulas. That is how we can look for them to sum to "b", rather than "-b".)

m∠3 + m<6 = 180

Given: m∠6 = 75°

so

m<3 + 75°= 180°

m<3 = 105°

Answer:

Here is the answer! Hope I helped! Have a nice day! Really helpful for k12 users! And sorry I am late!!!!

Step-by-step explanation:

Answer: The answer is 40

Step-by-step explanation:

The equation of a parallel line will have the same x-term, but a different constant (y-intercept). The required value can be found by putting the given point values in to the equation to see what it needs to be.

... y = 5x + ___

... 8 = 5·4 + ___

... 8 - 20 = -12 = ___

Your equation is ...

... y = 5x -12

The only factorial expression that is shown properly evaluated is that of selection A.

_____

If you number the terms starting from 0 on the left, you find that 20 is term #3 on the row that has 6 as term #1. In combination notation, this would be

... 6C3 or C(6, 3)

It is computed as

... 6!/(3!·(6-3)!) = 6·5·4/(3·2·1) = 20

The x-coordinate of the intersection point of two perpendicular lines, one with equation y = mx + b and the other with equation y = -x/m - b, is given by x = 2b/(m + 1/m).

Given two perpendicular lines, one has the equation y = mx + b. The y-intercept of this line is b, and the slope is m. The equation of the second line, which is perpendicular to the first, will have a negative reciprocal slope, -1/m, and for opposite y-intercepts, we'll assume its y-intercept to be -b. Thus the equation of the second line is y = -x/m - b.

For the intersection point, equal the y-values of the two equations: mx + b = -x/m - b. Simplify to obtain the x-coordinate of the intersection point:

mx + x/m = 2b or x(m + 1/m) = 2b. Therefore, the x-coordinate of the intersection point is x = 2b/(m + 1/m).

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To find the x-coordinate of the intersection point of two perpendicular lines with opposite y-intercepts, set the equations of the lines equal to each other and solve for x.

To find the x-coordinate of the intersection point of two perpendicular lines with opposite y-intercepts, we need to find the equations of both lines. Let's assume the equation of one line is y = mx + b. Since the lines are perpendicular, the slope of the other line will be the negative reciprocal of m. Let's call the slope of the other line n. Therefore, the equation of the other line will be y = -nx + c, where c is the y-intercept of the second line. To find the x-coordinate of the intersection point, we can set the two equations equal to each other and solve for x:

mx + b = -nx + c

x(m + n) = c - b

x = (c - b)/(m + n)

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Answer:

B. (2a +3b)(4a -c)

Step-by-step explanation:

Group the terms pairwise, then factor each pair.

... (8a² -2ac) +(12ab -3bc)

2a is a common factor in the first pair of terms; 3b is a common factor in the second pair of terms. We can factor those out.

... = 2a(4a -c) +3b(4a -c)

Then we see that (4a-c) is a common factor in the result. We can factor that out.

... = (2a +3b)(4a -c) . . . . matches selection B

As written, the inequality has a negative coefficient for the variable n. It can be convenient to add the opposite of the right side of the inequality to both sides, so the comparison is to zero:

... 25 +3(4n -3) > 0

... 25 + 12n -9 > 0 . . . . . . eliminate parentheses using the distributive property

... 12n + 16 > 0 . . . . . . . . . collect terms

... n + 4/3 > 0 . . . . . . . . . . divide by 12*

... n > -4/3 . . . . . . . . . . . . add the opposite of the constant (first of answer choices)

_____

6w -8 ≥ 22 . . . . . . . given

6w ≥ 30 . . . . . . . . . add 8

w ≥ 5 . . . . . . . . . . . .divide by 6* (second of answer choices)

_____

* When solving inequalities, solution can proceed in the same way it does for solving equations, with one exception. When multiplying or dividing by a negative number, the direction of the comparison changes. Consider the inequality

... 1 < 2

Now, see what happens when we multiply by -1:

... -1 > -2

You may note that we were always dividing by a positive number in the solutions above. That is intentional. In other words, we specifically chose the solution method for problem 3 so that we would avoid dividing by a negative number.

First you had to switch sides of equation form.

[tex]\frac{x}{100}= \frac{7}{10}[/tex]

Then you multiply by one-hundred from both sides of equation form.

[tex]\frac{x}{100}*100= \frac{7}{10}*100[/tex]

And finally, simplify by equation.

[tex]\frac{x}{100}*100=x[/tex]

[tex]\frac{7}{10}*100=70[/tex]

[tex]70*1=70[/tex]

[tex]x=70[/tex]

Final answer: [tex]\boxed{x=70}[/tex]

[tex]70/10=7[/tex]

[tex]70/7=10[/tex]

[tex]10*7=70[/tex]

[tex]7*10=70[/tex]

Hope this helps!

And thank you for posting your question at here on brainly, and have a great day.

-Charlie

x = 70

given [tex]\frac{7}{10}[/tex] = [tex]\frac{x}{100}[/tex] ( cross-multiply )

10x = 7 × 100 = 700 ( divide both sides by 10 )

x = [tex]\frac{700}{10}[/tex] = 70