Mathematics High School

Write the equation of a line going through the point (-3,5) that is parallel to the line 2x+y=-8

Answers

Answer 1
2x + y = - 8
y = - 2x - 8

Since we are looking for a parallel line, we use the same slope of - 2x. 

y = - 2x + b

Plug in your given point.

5 = - 2(- 3) + b
5 = 6 + b
5 - 6 = b
-1 = b

Your equation is y = - 2x - 1


Related Questions

If EFGH is a parallelogram, what is the value of x?

Answers

to be a parallogram the 2 angles shown need to equal 180 degrees
 
so we have: 34 + (4x-2) = 180

 now we can solve for x

34 + 4x -2 = 180

simplify the left side by subtracting 2 from 34

32+4x =180

subtract 32 from each side:

4x = 148

divide both sides by 4 to get x

x = 148 / 4 

x = 37 

The answer is B





A quadrilateral in which opposite sides are parallel is called a parallelogram. The value of x is 37.

What is a parallelogram?

That quadrilateral in which opposite sides are parallel is called a parallelogram.

Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.

For a parallelogram, any two adjacent angles are always supplementary. Therefore, we can write the sum of the two angles as,

(4x-2)° + 34° = 180°

4x - 2 + 34 =180

4x + 32 =180

4x = 180 - 32

4x = 148

x = 37

Hence, the value of x is 37.

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What is the excluded value of the rational expression: x-4/6 divided by x+1/7?
A. -1
B. 4
C. -7
D. None of the above

Answers

For this case we have the following expression:
 ((x-4) / (6)) / ((x + 1) / (7))
 Rewriting we have:
 7 (x-4) / 6 (x + 1)
 We observe that the expression is not defined for the values where the denominator is equal to zero.
 We have then:
 x + 1 = 0
 x = -1
 Answer:
 The excluded value of the rational expression is:
 A. -1

A bunch bowl is in the shape of a hemisphere. The top rim has a circumference of 116cm.
A) determine the volume of the punch bowl to the nearest cubic centimeter.
B) If there are 1,000 cubic centimeters in a liter and 3.785 liters in a gallon, determine, to the nearest tenth of a gallon, how much punch can fit in the bowl.

Answers

The hemisphere is half the volume of a sphere. Since we are given the circumference, we can solve for the radius of the sphere. That is 
     [tex]C=2\pi r[/tex]

     [tex]116\:cm=2\pi r[/tex]

     [tex]r=\frac{116}{2\pi }=18.462\:cm[/tex]

Part A
We can now compute for the volume of the hemisphere.
     [tex]V=\frac{1}{2}\times \frac{4}{3}\pi r^3=\frac{1}{2}\times \frac{4}{3}\pi \left(18.462\right)^3=13179\:cm^3[/tex]

Part B
We just need to convert the volume into its corresponding gallons
     [tex]13179\:cm^3\times \frac{1\:Liter}{1000\:cm^3}\times \frac{1\:gallon}{3.785\:Liters}=3.5\:gallons[/tex]

YOOOOOO!!!!!!NEEEED HELP!!!WILL GIVE BRAIN!!!!!!PART2!!!!

Answers

For this case we have the following main function:
 f (x) = x ^ 3
 We have the following transformation of functions:
 Expansions and vertical compressions:
 To graph y = a * f (x)
 If a> 1, the graph of y = f (x) is expanded vertically by a factor a. (It lengthens)
 If 0 <a <1, the graph of y = f (x) is compressed vertically by a factor a. (Shrinks)
 We have then:
 h (x) = ((1/4) x) ^ 3
 h (x) = (1/64) * (x) ^ 3
 h (x) = (1/64) * f (x)
 0 <1/64 <1
 The graph f (x) shrinks,
 Answer:
 f (x) = x ^ 3
 option A

PLEASE HELP ME WITH THIS ILL MARK AS BRAINIEST


What is the value of h when the function is converted to vertex form?

Note: Vertex form is f(x)=a(x−h)2+k .

f(x)=x2+10x+35

Enter your answer in the box.

Answers

Please use "^" to indicate exponentiation:

f(x)=x^2+10x+35

Complete the square:  f(x)=x^2+10x+25-25+35 = (x+5)^2 +10

or y-10=(x+5)^2, so the vertex is at (-5,10).  h has the value -5.

Answer:

h = -5

Step-by-step explanation:

What’s the answer for this question:)

Answers

For this case we have the following function:
 f (x) = x + 4 if -4 <= x <3
 f (x) = 2x-1 if 3 <= x <6
 We observe that the function is defined from x = -4 (including it) to x = 6 (without including it).
 Therefore, the domain of the function is:
 [-4, 6]
 Answer:
 [-4, 6]
 option 3

y=-6x^2+100x-180
x=selling price of each soccer ball
y=daily profit from soccer balls

The vertex is located at (8.33, 236.67). What does this point represent in context?

Answers

In the figure we have the graphic of this equation. So, the vertex is the maximum of this function. This point means that the maximum daily profit from soccer balls is:

[tex]y = 236.67[/tex]

And this happens when the selling price of each soccer ball is:

[tex]x = 8.33[/tex]

So if you want to get the best daily profit, this is the price you must sell each soccer ball.

Refer the below solution for better understanding.

Step-by-step explanation:

Given :

[tex]y = -6x^2+100x-180[/tex]

where,

x = selling price of each soccer ball.

y = daily profit from soccer balls.

Solution :

The vertex shows the maximum value of y and x.

y = 236.67 shows the maximum daily profit and this happens when selling price of each soccer ball is x = 8.33.

Refer the below graph for better understanding.

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cheryl went on a 3-hour train traveled at an average speed of 75 miles per hour.what was the total distance in miles that cheryl traveled?

Answers

75x3=225

Cheryl went a total of 225 miles in 3 hours.
You're going to divide 75/3.to get your answer

Find the slope and the y-intercept of the line with equation y=-5/4x+5

Answers

In an equation with the form y = mx + b, the m is slope and the b is y-intercept.

Therefore, your slope, m, is -5/4 and your y-intercept, b, is 5.

The first painter can finish a paint job in 2 hours. The second painter can finish the same job in 8 hours. How long would it take them to finish the job if they were working together?

Answers

Final answer:

If two painters who can individually finish a painting job in 2 hours and 8 hours respectively work together, they will be able to finish the job in 1.6 hours.

Explanation:

The question is about determining how fast two painters can finish a paint job if they work together, given their individual working speeds. This is related to the field of mathematics and specifically to the concept of rates. The first painter can finish the job in 2 hours, so, his rate of working is 1/2 of the job per hour. The second painter can finish the job in 8 hours, so his rate of working is 1/8 of the job per hour. When they work together, their rates are added together. So, the combined rate of both painters is 1/2 + 1/8 = 5/8 of the job per hour. To find out how long it would take them to finish the job together, we take the reciprocal of this, which gives us 8/5 or 1.6 hours.

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Final answer:

Working together, the two painters would take approximately 1.6 hours or 1 hour and 36 minutes to finish the job.

Explanation:

To find how long it would take the two painters to finish the job together, we can use the concept of work rates. The first painter can finish the job in 2 hours, so they have a work rate of 1/2 job per hour. Similarly, the second painter can finish the job in 8 hours, so their work rate is 1/8 job per hour.

When the two painters work together, their combined work rate is the sum of their individual work rates. So, the total work rate when they work together is 1/2 + 1/8 = 5/8 job per hour.

To find the time it would take them to finish the job, we can use the formula time = 1 / work rate. Substituting in the combined work rate of 5/8 job per hour, we get:

time = 1 / (5/8) = 8/5 = 1.6

Therefore, it would take the two painters approximately 1.6 hours or 1 hour and 36 minutes to finish the job if they were working together.

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O'Farrell offers 2 different after school clubs. The Ukulele club has 30 students and attendance is increasing by 6 students per month. MESA has 45 students and attendance is increasing by 3 students per month. After how many months will there be the same number of students in each club?

Answers

month 6, work down below

months / students
0 30 45
1 36 48
2 42 51
3 45 54
4 51 57
5 57 60
6 63 63

it is 14 because its 14

How much does the school have to charge for each candy bar to make a profit of 10 dollars per box?

Answers

the complete question is
A school purchases boxes of candy bars. 
• Each box contains 50 candy bars. 
• Each box costs $30. 
How much does the school have to charge for each candy bar to make a profit of 
$10 per box?

step 1
charge for each box $10
so
the new box cost $10+$30=$40

step 2
divide the new box cost to total candy bars
$40/50=$0.80 

the answer is
 the school have to charge for each candy bar $0.80

What is the focus of the parabola? [tex]y= \frac{1}{4} x^{2} -x+3[/tex]

Enter your answer in the boxes.


(__ , __)

Answers

we know that
the equation of the parabola is of the form
y=ax²+bx+c
in this problem
y=1/4x²−x+3
where
a=1/4
b=-1
c=3
 the coordinates of the focus are
(-b/2a,(1-D)/4a)
where D is the discriminant b²-4ac
D=(-1)²-4*(1/4)*3-----> D=1-3---> D=-2
therefore
x coordinate of the focus
-b/2a----> 1/[2*(-1/4)]----> 2

y coordinate of the focus
(1-D)/4a------> (1+2)/(4/4)---> 3

the coordinates of the focus are (2,3)

A function has a constant halving time. What type of function does this represent?

A. Decreasing linear
B. Exponential decay
C. Exponential growth
D. Increasing linear

Answers

The function which has a constant halving time is in the following form

[tex]A(t) = A_{0} ( \frac{1}{2} )^ \frac{t}{h} [/tex]
Where:  A₀ is the initial amount
              h   is the half life time or the halving time.
              t    is the time
              A(t) the amount that remains at time t

The previous function represents an Exponential decay function.


so, The correct answer is option B. Exponential decay

Answer:

b

Step-by-step explanation:

The size of a television is given by the length ofthe diagonal of the screen. the ratio of the height to the width of wide flat-screen tv is 8:15. find expressions for the width and height of a wide-screen tv in terms of the length of its diagonal.\

Answers

Using the ratios,
suppose:
width=8x
length=15x
let d be the diagonal
thus; using Pythagorean theorem:
d^2=(8x)^2+(15x)^2
=64x^2+225x^2
=289x^2
d=17x

or x=d/17

width=8x=8d/17
length=15x=15d/17

Write each of the equations below in standard form (i.e. y = ax^2+bx+c y=ax ​2 ​​ +bx+c):
a. y = 3(x-7)(x+4) y=3(x−7)(x+4)
b. y = 2(x-3)^2 + 5 y=2(x−3) ​2 ​​ +5
c. y = -2(x+3)(x+5) y=−2(x+3)(x+5)
d. y = -3(x-4)^2 + 8y=−3(x−4) ​2 ​​ +8

Answers

C . Is the answer
Hope it helps

2. How many real number solutions are there to the equation 0 = –3x² + x – 4? (1 point)

Answers

given
[tex] - 3 {x}^{2} + x - 4[/tex]
finding the determinant will tell us how many solutions
the determinant is
[tex] {b}^{2} - 4ac[/tex]
so we have
a=-3
b=1
c=-4

so the determinant is
[tex] {1}^{2} - 4( - 3)( - 4) = 1 - 48 = - 47[/tex]
now we know if d=0 there is 1 real solution if d<0 there are complex solutions and if d>0 there are 2 real solutions.
since d=-47<0 there are no real solutions only complex ones

Final answer:

The equation has no real number solutions.

Explanation:

To find the number of real number solutions to the equation 0 = –3x² + x – 4, we can use the discriminant of the quadratic equation. The discriminant is calculated as b² - 4ac, where a, b, and c are coefficients of the equation in the form ax² + bx + c = 0. If the discriminant is positive, the equation has two distinct real solutions. If the discriminant is zero, the equation has one real solution. And if the discriminant is negative, the equation has no real solutions.

In this case, a = -3, b = 1, and c = -4. Let's calculate the discriminant:

b² - 4ac = (1)² - 4(-3)(-4) = 1 - 48 = -47

Since the discriminant is negative, the equation 0 = –3x² + x – 4 has no real number solutions.

Which value of h makes 10/8+h=9/3-2 a true statement?

Answers

h = -0.25 I think don't really know, okay?
I used an app called photomath and got h=-1/4. I attached a screenshot

A. 99
B. 100
C. 121
D. Cannot be determined

Answers

B. 100
Corresponding parts of congruent figures

Irma needs to rent a car for a business trip from phoenix to san jose (720 miles one way). she will drive round trip and will be gone a total of 8 days. the car rental company charges $65.00 per day and allows for 1,600 miles for irmas's trip. there will be an additional charge of $0.24 per mile over the 1,600 miles allowed. how many total miles can she drive without exceeding her budget of $600.00?

Answers

To find the number of miles Erma can drive, you will write and equation and solve it to find the amount of miles that can be driven on $600 over the 1600 miles that are allowed.

Daily rate  + cost per mile over 1600 = total cost
(65 x 8) + 0.24m = 600
520 + 0.24m = 600
-520             -520
0.24m = 80
0.24       0.24
m = 333.33... miles

The maximum number of whole miles she can drive would be 1933 miles (1600 + 333).

A gardener wants to plant 122500 trees in his field in such a way that the number of trees in a row is equal to the number of rows .How many trees will he plant in each row?

Answers

Given that the gardener wants the number of trees in each raw to be equal to the number of rows, then let the number of in each row be x this means that the number of rows will be x.
Thus the total number of trees will be:
Total=(number of rows)*(number of trees in each row)
hence:
122500=x×x
122500=x²
hence
x=√122500
x=350
thus the number of rows will be 350 and the number of trees in each row will be 350

A number is less than 20 units away from 7 on the number line. What numbers are within these parameters? Choose the inequality that represents the situation.

Answers

Answer:

For the pull out menu it was B

Step-by-step explanation:

How to calculate 95th percentile from mean and standard deviation of an exponential distribution?

Answers


0down voteaccepted

The qthqth quantile of a random variable XX is the value xx such that

Pr[X≤x]=q.Pr[X≤x]=q.So in your case q=0.25q=0.25, and0.25=Pr[X≤x]=FX(x)=1−e−x/β.0.25=Pr[X≤x]=FX(x)=1−e−x/β.This gives us e−x/4=0.75e−x/4=0.75, orx=−4log0.75≈1.15073.x=−4log⁡0.75≈1.15073.This assumes that the parametrization of the exponential distribution is by scale; i.e., if β=4β=4 this means E[X]=β=4E⁡[X]=β=4, rather than by rate--in which case E[X]=1/β=1/4E⁡[X]=1/β=1/4.

What is the value of w?

w + 3
4
=
w - 2
2

Answers

The answer to the value of W would be (W = -3/2 = -1.500).

Julio considers the reduction of the triangle.

What is the correct cross product that he should use to solve for the missing dimension?
(8)(12) = 21x
(8)(21) = 12x
(12)(8) = 12x
(12)(21) = 8x

Answers

For this case we observe that the triangles are similar.
 Therefore, we can use the following relationship:
 (12) / (21) = (8) / (x)
 From here, we can clear to know the value of the incognita x.
 Answer:
 the correct cross product that should be used to solve for the missing dimension is:
 (12) / (21) = (8) / (x)

Answer:

(12)(21) = 8x or d

Step-by-step explanation:

through how many radians does the minute hand of a clock turn in three hours?
•3π
•6π
•9π

Answers

9 pi would be the answer
6π
180 degrees is 1π, so therefore it going around 3 full rotations(1080 degrees) it would be 6π

Tom caught 4 fish and his son caught 12 fish.The number of fish that Tom caught was what percent of the total number of fish?

Answers

total number of fish = 12+4= 16
tom % of fish = 4 divided by 16 = 0.25 =25%
Tom caught 25% of the fish.

A number is mutiplied by 10. Then 32 is added to the product. This sum is then devised by 4. The answer is 28. What was the original number?

Answers

The Answer is 8 because you take 28 and multiply 4, then you subtract 32, and lastly, you divide by 10 and you get 8.
8 is your original number.

I went in a did the opposite of what it said (so I multiples 28 by 4, subtracted 32, and then divided by 10). Hope this helps!

9. WILL GIVE BRAINLIEST IF CORRECT

Answers

Answer is: A;
Re-arrange formula to give: sin q = -1/square root of 2
Now, sin (3 pie/4) = sin(135) = -1/square root of 2
Also, sin(5 pie/4) = sin(235) = -sin(45) = -1/square root of 2
rearrange the equation we get;

sinq = -2/2sqrt(2) = -1/sqrt(2)

answer is letter A. 3pi/4 , 5pi/4


Hope this helps your question! Goodluck

Solve the system of equations. { 13x−y=90 y=x^2−x−42

Answers

There are two possible answers:
(6, -12)
(8, 14)

You can get these by taking the second equation and plugging it in for y in the first equation. Then solve using the quadratic formula.
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