help please...........


1. y = 3 x
y = -8x


2. y = - 7x
y =-4x - 12

Answers

Answer 1
1. -8x = 3x

-11x = 0

x= 0

y= 3(0)= 0

(0, 0)

2. -7x = -4x - 12

-3x = -12

x = 4

y = -7(4)= -28

(4, -28)
Answer 2

(1)

both equations express y in term of x, hence equate the right sides

- 8x = 3x ( subtract 3x from both sides )

- 11x = 0 ( divide both sides by - 11 )

x = 0

substitute x = 0 into y = 3x → y = 0

solution is : (x, y ) → (0, 0)

(2)

both equations express y in terms of x, hence equate the right sides

- 4x - 12 = - 7x ( add 7x to both sides )

3x - 12 = 0 ( add 12 to both sides )

3x = 12 ( divide both sides by 3 )

x = 4

substitute x = 4 into y = - 7x → y = - 28

solution is : (x, y ) = (4, - 28 )



Related Questions

Jacksons rectangular bedroom has an area of 90 ft.². The area of his bedroom is nine times that of his rectangular closet. If the closet is 2 feet wide, what is its links?

Answers

The closet area is 1/9 of the bedroom area, so is (1/9)·(90 ft²) = 10 ft².

The width of the closet multiplied by the length is the area.

... length×(2 ft) = 10 ft²

... length = (10 ft²)/(2 ft) = 5 ft

The length of Jackson's closet is 5 ft.

help asap! will mark brainlyst

Answers

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]

Jake and erica were solving a system of equations. They both noticed that the two lines had the same slope. Jake said that because each line in the system had the same slope, the two lines had to be the same, which meant there were infinitely as many solutions to the solutions to the system. Erica disagreed, and said they ahould also look at the y-intercepts before determining how many solutions there were. Who is correct?

Answers

Answer:

Erica

Step-by-step explanation:

Two lines with the same (defined) slope will only have infinite solutions if their y-intercepts are the same. Otherwise, the number of solutions (points on both lines) is zero.

Since the 2 lines have the same slope, then the lines are parallel and never intersect. Thus there is no solution to the system of equations

Neither Jake nor Erica are correct.



Which value for the number makes this statement true? The quotient of a number and five is eight

Answers

Answer: The answer is 40

Step-by-step explanation:

I need help with this problem, please help!!! 

Answers

Answer:

Yes. (See below for explanation.)

Step-by-step explanation:

The number of servings is found by dividing the quantity available by the size of a serving. The quantity of punch is the sum of the quantities of the juices that go into the punch. The serving size of 3/4 cup is the same as 6 ounces, since a cup is 8 ounces. (3/4 × 8 oz = 6 oz)

The quantity available is (64 oz + 28 oz + 76 oz). The serving size is 6 oz. Since the units of numerator and denominator are the same, they cancel, leaving ...

... number of servings = (quantity available)/(serving size)

... = (64 +28 +76)/6 . . . . as shown in the problem statement

_____

It might not be obvious that the above ratio gives the number of servings. However, if you look at the real units, you see how it happens.

[tex]\dfrac{oz}{(\frac{oz}{serving})}= oz\dfrac{serving}{oz}=\dfrac{oz}{oz}serving=serving[/tex]

adam is three years younger than twice bobs age. in 5 years adams age will be 8 years more than bobs age. what are their 2 ages

Answers

Adam is 9 years old and Bob is 6. Twice Bob’s age is 12, 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.

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.

What is the age?

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.

To learn more about the age visit:

https://brainly.com/question/26423521

#SPJ2

What is the median of the box-and-whisker plot?
A) 36
B) 38
C) 42
D) 43

Answers

The median on any box plot is the little dot in the middle of the box so the answer is C)42. So where the line is in the middle of the box it is always going to be the median. The median is in the middle. You can also remember it like this Hey Diddle diddle the medians the middle you add and divide for the mean and the mode is the most.

Answer:  

B) 38  

Step-by-step explanation:

38 is the first (lower) quartile of the box-and-whisker plot.

What describes a rational number? please be specific and show examples of the number ASAP!! XD

Answers

done! just press the pic

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

Answers

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, ∞ )


7/10=x/100 Show work please

Answers

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


Viete's Formulas - what are they used for?
If we have a quadratic equation 2X^2 + 4X -6 = 0, whose roots are x1=1 and x2=-3 and where a = 2 b=4 and c=-6 then according to Viete's formulas (x1 + x2) = (-b/a) and (x1 • x2) = (c/a).
I suppose these formulas could be used as a double check for calculating the roots but do they serve any other purpose? (I also know there are other Viete's formulas for cubic, quartic, etc. equations).

Answers

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".)

what is the equation of a line, in point-slope form, that passes through (5, -3) and has a slope of 2/3? please help me

Answers

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


Final answer:

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.

Explanation:

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.

Learn more about Point-Slope Form here:

https://brainly.com/question/29054476

#SPJ3

6th Grade Line Graph-will give brainliest

Answers

the answer is D Hope this helps

Which of the following is a solution to 2cos x + 1 = 0?

A.
60°

B.
120°

C.
210°

D.
300°

Answers

the answer is b
2cos x + 1 = 0
2 cos x = -1
cos x = -1/2
x = cos^1(-1/2)
(cos inverse (-1/2))
x = 120°

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°

I need help with this question

Answers

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

Given the graph of a line y=−x. Write an equation of a line which is parallel and goes through the point (8,2).

Answers

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.

What is the median of this set of values? 6, 8, 10, 8, 4, 2, 12

Answers

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

Please help. Question in photo

Answers

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.

In this figure, AB¯¯¯¯¯∥CD¯¯¯¯¯ and m∠6=75°.

What is m∠3?

Answers

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:

Which type of triangle is shown here?

Answers

Hi ArbogastMadyson,

Which type of triangle is shown here?

There are 6 types of triangle:

Right TriangleEquilateral TriangleIsosceles TriangleScalene TriangleObtuse TriangleAcute Triangle

Since your triangle contains length in inches not degrees we will not use the 1st, 5th, and 6th clssifications.

Scalene Triangle - 3 unequal sides

Isosceles Triangle - 2 equal sides, 1 unequal,

Equilateral Triangle - 3 Equal Sides

In your image all 3 lengths are different.

Answer - Scalene Triangle

It would of been easier to search the definition of the answers up.

Help please! 17 points!

Which expression shows the distance on the number line between −12 and 8?

A. | − 12 − 8 |
B. | 8 − 12 |
C. | − 12 + 8 |
D. | − 12 − (−8) |

Answers

The answer would be A because the distance from 8 to 0 is 8 and the distance from 0 to -12 is 12 so 8+12 is 20

Find absolute value of the following numbers -37, 2.987, 53, -2/3, -45

Answers

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

37, 2.987, 54, 2/3, 45

Find the first fourth and tenth terms of the arithmetic sequence described by the givin rule a (n) = -3 + (n -1) (-2.2)

Answers

- 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



Graph f(x)=12x+2. Use the line tool and select two points to graph the line.

Answers

we have

[tex]f(x)=\frac{1}{2}x+2[/tex]

To graph the line find the x and y intercepts

we know that

The x-intercept is the value of x when the value of y is equal to zero

The y-intercept is the value of y when the value of x is equal to zero

so

Find the y-intercept

For [tex]x=0[/tex]

[tex]f(0)=\frac{1}{2}*0+2=2[/tex]

the y-intercept is the point [tex](0,2)[/tex]

Find the x-intercept

For [tex]y=0[/tex]

[tex]0=\frac{1}{2}x+2\\x=-4[/tex]

the y-intercept is the point [tex](-4,0)[/tex]

Using a graphing tool

Plot the points to graph the line

therefore

the answer in the attached figure

The graph of the linear function f(x) = 12x + 2 is attached below

What is the graph of a linear equation?

The graph of a linear equation is a straight line when plotted on a coordinate plane. A linear equation can be written in the form:

y = mx + b

Where:

"y" represents the dependent variable (usually plotted on the vertical axis).

"x" represents the independent variable (usually plotted on the horizontal axis).

"m" is the slope of the line, which determines its steepness.

"b" is the y-intercept, which is the point where the line crosses the y-axis.

The graph of the linear equation f(x) = 12x + 2 is attached below;

Learn more on graph of linear function here;

https://brainly.com/question/4025726

#SPJ4

How do I get this form?

Answers

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.

HELP! WILL GIVE BRAINLIEST!
Use the figure to complete the transformations.
1. Reflect the triangle across the y-axis.
2. Reflect the image across the x-axis.

The final image is the same as what single transformation?

a reflection across the y-axis
a 180° rotation about the origin
a clockwise rotation 90° about the origin

Answers

If you actually do what the problem statement tells you to do, the answer falls into your lap.

The attachment shows the triangle reflected across the y-axis (blue), then across the x-axis (red). The red triangle is clearly equivalent to the original being rotated 180° about the origin.

The appropriate choice is ...

... a 180° rotation about the origin

_____

Algebraically, reflection across the y-axis negates the x-coordinate:

... (x, y) ⇒ (-x, y)

and reflection across the x-axis negates the y-coordinate:

... (x, y) ⇒ (x, -y)

Then, reflection across first one axis then the other will result in both coordinates being negated:

... (x, y) ⇒ (-x, -y)

This is precisely what happens when a figure is rotated 180° about the origin.

Answer:

A 180 rotation about the origin

Given any linear equation, explain how to find the slope for a line that is perpendicular to the given equation. please help i suck in math :(

Answers

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]


At a basketball game, student tickets are sold for $4.50 each.

a) Write an equation that models the income y from the sale of x student tickets.

b) How many student tickets must be sold to have $1125 in student ticket sales?

Show all work

Answers

A is the equation would be y= 1x + 4.50 because for every ticket sold there is an income of 4.50

B would be 250 tickets were sold because if you take 1125 and divide it by 4.50 you get 250

The vertices A(–2, –1), B(–3, 2), C(–1, 3), and D(0, 0) form a parallelogram. The vertices A’(–1, –2), B’(2, –3), C’(3, –1), and D’(0, 0) are the image of the parallelogram after a sequence of transformations. Which sequence of transformations could produce the image from the pre-image?
a reflection over the x-axis and then a reflection over the y-axis
a reflection over the y-axis and then a 90 degree clockwise rotation about the origin
a 90 degree clockwise rotation about the origin and then a reflection over the y-axis
a 90 degree counterclockwise rotation about the origin and then a reflection over the x-axis

Answers

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! :) :) :)

Two perpendicular lines have opposite y-intercepts. The equation of one of these lines is y = mx + b. Express the x-coordinate of the intersection point of the lines in terms of m and b.

Answers

Final answer:

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).

Explanation:

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).

Learn more about Intersection Point of Perpendicular Lines here:

https://brainly.com/question/27476927

#SPJ12

Final answer:

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.

Explanation:

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)

Learn more about Perpendicular lines here:

https://brainly.com/question/18271653

#SPJ12

Other Questions
15 POINTS PLEASE HELP as soon as ya'll can thanks so much! Could someone tell me the correct answer I just wanna make sure Im right Efectuati utilizand factorul comun 30 x 48 +20 x 2 Why do the ratios of sine and cosine depend upon the angle being a part of a right triangle? order the following numbers from least to greatest 9%,1/12,17%,1/25 The mass of Jupiter is 1,898 1024 kilograms. The mass of Earth is 5.97 1024 kilograms. The mass of the Sun is 1,989,000 1024 kilograms. 19. Which of the following is the correct Ohm's law formula used to find resistance? A. R = I/E B. R = E/I C. R = PI D. R = EI Order this set of numbers from least to greatest: 2.51, 2.3, 2.15 Immediately after the end of World War I and the collapse of the Ottoman Empire, European countries increased their involvement in Middle Eastern political and economic affairs. Which of these BEST explains how this change took place? A) European people moved there to take advantage of the better climate. B) European Jews were fleeing the expansion and oppression of the Germany government. C) European governments were able to establish peace in the region for the first time in decades. D) European powers drew up new political borders in the region without consulting political, cultural, or historic realities. What is the solution to the system of linear equations?(3, 0)(3, 3)(0, 2)(3, 1) why did the revolution war start If you or your partner had a miscarriage, how would you feel, and how would you deal with the loss? Where do we have missing rock record in new york state? Why could this have happened? Mouths full of laughter, the turistas come to the tall hotel with suitcases full of dollars. Every morning my brother makes the cool beach new for them. With a wooden board he smooths away all footprints. I peek through the cactus fence and watch the women rub oil sweeter than honey into their arms and legs while their children jump waves or sip drinks from long straws, coconut white, mango yellow. Once my little sister ran barefoot across the hot sand for a taste. My mother roared like the ocean, "No. No. It's their beach. It's their beach." "Fences," Pat Mora Which phrases from the poem are examples of imagery? Check all that apply. every morning my brother makes he smooths / away all footprints the women rub oil / sweeter than honey children jump waves / or sip drinks once my little sister The scale of a model train is 1 inch to 13.5 ft . One of the model trains is 5 inches long what is the length in feet of the actual train car Substitution method3x - 4y = 182x + y = 1 Please Use the factor theorem to determine whether v + 5 is a factor of v^4 + 16v^3 + 18v^2 -725 A. Yes B. No Is this statement true or false? Although magnificent at the time, the Hanging Gardens of Babylon are not considered one of the Seven Wonders of the Ancient World.A- TrueB- False Choose the best spanish equivalent to the phrase. The children sold lemonade in the streets last summer help me!!!!!!!!!!!!!!!!!!!!!!!!