Put the following equation in slope-intercept form: x+2y=16​

Answer:

108 is the answer

Step-by-step explanation:

Option D 13 dollars per hour

Answer:

(–1, 3), (–2, 2) and (–5, –1)

Step-by-step explanation:

On a coordinate plane, a line has points (-2, -4) and (4, 2). Its slope is:

m = [2 - (-4)]/[4 - (-2)] = 1

To be parallel, both lines have the same slope.

General equation of a line:

y = mx + b

Replacing with m = 1 and Point P (0, 4), we get:

4 = 1(0) + b

4 = b

Therefore, the equation of the line is:

y = x + 4

Replacing x = -4 into the equation:

y = -4 + 4 = 0

Replacing x = -1 into the equation:

y = -1 + 4 = 3     then (-1, 3) lies on the line

Replacing x = -2 into the equation:

y = -2 + 4 = 2     then (-2, 2) lies on the line

Replacing x = 4 into the equation:

y = 4 + 4 = 8

Replacing x = -5 into the equation:

y = -5 + 4 = -1     then (-5, 1) lies on the line

Answer:

[tex](-1,3), (-2,2), (-5,-1)[/tex]

Step-by-step explanation:

1) There's Need for the segment. Reminds me the centroid of a triangle which divides the triangle into two segments in a 2:3 ratio.

2.On a coordinate plane, a line has points (negative 2, negative 4) and (4, 2). Point P is at (0, 4). Which points lie on the line that passes through point P and is parallel to the given line? Select three options. (–4, 2) (–1, 3) (–2, 2) (4, 2) (–5, –1)

1) Let's find the slope of the line [tex]r[/tex] with points [tex]A(-2,-4) \:and\:B(4,2)[/tex]

[tex]m=\frac{2-(-4)}{4-(-2)}=\frac{6}{6}=1[/tex]

2) Now the linear coefficient,

[tex]y=mx+b\\0=1(-2)+b\\b=-2[/tex]

Then the first line [tex]r[/tex] whose points are [tex]A(-2,-4) \:and\:B(4,2)[/tex] is [tex]y=x-2[/tex]

3) From Analytical Geometry, a Parallel line must have the same slope, so that these lines may never intercept each other just like the graph below. So the slope, the angular coefficient must value the same amount.

[tex]m_1=m_{2} \therefore m_{1}=m_{2}=1[/tex]

So, the line [tex]s[/tex] is :

[tex]y=mx+b\\4=1*0+b\\\therefore b=4\\y=x+4[/tex]

4) Testing the points

[tex]2=-4+4 \:\\2\neq 0\\(-1,3)\\3=-1+4\\3=3\\(-2,2)\\2=-2+4\\2=2\\(4,2)\\2\neq 2+4\\(4,2)\\2\neq 4+2\\(-5,-1)\\-1=-5+4\\-1=-1[/tex]

Answer:

To make it clearer, I just put every thing under the formal form

f(x) = [tex]\left \{ {{2x^2-1~~~~if~~~~ x\leq -1} \atop {3x+2~~~~~if~~~~~x>-1}} \right.[/tex]

Step-by-step explanation:

Now, you have 2 equations with 2 conditions. One is > -1, and one is < -1.

The question is about f (5). So, which equation you use to replace x = 5? The first one or the second one? and why?

Answering those questions help you understand how it works.

Answer:

m₁×m₂ = -1

m₁ = 3 and m₂ = -1/3

3×-1/3 = -1

-1 = -1

Hence proved, the given two lines are perpendicular.

Step-by-step explanation:

You can prove that the two lines are perpendicular if the following condition holds true.

m₁×m₂ = -1

Where m₁ is the slope of line 1 and m₂ is slope of line 2

So first you have to find out the slope of each line.

You are given 2 equations

y = 3x + 5         eq. 1

6y + 2x = 1       eq. 2

You have to write these equations in slope-intercept form to find out their slopes.

The slope-intercept form is given by

y = mx + b

Comparing the general form with eq. 1

y = 3x + 5

We notice that the slope is m₁ = 3

Now convert the eq. 2 into slope-intercept form

6y + 2x = 1       eq. 2

6y = -2x + 1

y = (-2x + 1)/6

y = -1/3x + 1/6     eq. 2

Comparing the general form with eq. 2

y = -1/3x + 1/6

We notice that the slope is m₂ = -1/3

Now we have slopes of both lines so let us test whether they are perpendicular or not

m₁×m₂ = -1

m₁ = 3 and m₂ = -1/3

3×-1/3 = -1

-1 = -1

Hence proved, the given two lines are perpendicular.

Answer:

90 miles per hour is the average speed.

Step-by-step explanation:

The formula for Average Speed can be given as follows:

[tex]\text{Average Speed}= \dfrac{\text{Total Distance Traveled}} {\text{Total Time Taken}}[/tex]

Here time taken is from 1 PM to 4 PM i.e.

Total Time taken = (4-1) hours = 3 hours

Also, it is given that the Total distance covered = 270 miles

As per the formula above:

[tex]\text{Average Speed} = \dfrac{270}{3}\\\Rightarrow \text{Average Speed} = 90\ miles/hour[/tex]

So, answer is: 270 miles/ hour is the average speed of the train from Philadelphia to Boston.

Answer:

B. It is Decreasing

Step-by-step explanation:

When X = -1, Y = 7/3 putting a point at (-1, 7/3)

When X = 1, Y = -1/3 putting another point at (1, -1/3)

The Y value decreases from X = -1 to X = 1

Answer:

Step-by-step explanation:

The graph and the related function are decreasing at a steady rate on the interval (-1, 1).

Answer:

An algebraic equation (I think :/)

Answer:

Not really

(Algebraic expression)

Answer: y=1/3x+11/3

Step-by-step explanation:

Since we given the slope, we can write a slope-intercept form equation.

y=1/3x+b

Since we we don't have our y-intercept, we can plug in the coordinate we are given to find the y-intercept.

6=1/3(7)+b

6=7/3+b

11/3=b

Now that we have our y-intercept, we can complete our equation.

y=1/3x+11/3

Answer: 5. The second box required more material to make.

6. A company saves about $84.94 by choosing to make fifty boxes of the smaller box in comparison to fifty boxes of the larger box.

Step-by-step explanation:

5.  To solve this problem you need to find the volume of the boxes.

Volume of the first box.

v= 8 * 6.25 * 10.5

v= 525  

Second box volume

9 * 5.5 * 11.75 = 581.625

Which means the second box required more material to make because it has the greatest volume.

6. To solve this you have to multiply the volume of small and large boxes by 50 the multiply it by 0.03.

525 * 50 = 26250 * 0.03 = 785.5

581.625 *50 = 29081.25 * 0.03= 872.4375

872.4375 - 785.5  = 84.9375 which is about $84.94.

Answer:

100

Step-by-step explanation:

6x6=36

adding 4 is equal to 10

10x10 = 100

Answer:

480.

Step-by-step explanation:

We would need to draw the line of best fit through these point.

An estimate would be about 480.

Answer:

y= x2+x-3

Step-by-step explanation: i think this is the answer

Answer:

2482

Step-by-step explanation:

Because this sequence starts with -13 and adds 5 each time, the 500th term will be 5(499)-13=2482. Hope this helps!

Answer:

2482

Step-by-step explanation:

Answer:

483,000

Step-by-step explanation:

10^5=100,000

4.83×100,000=483,000

Answer:

t15 is equal to 30-x so therefore t= 30-x/15

Answer:

$32.55

Step-by-step explanation:

Before Tax Price: $30.00

Sale Tax: 8.50% or $2.55

After Tax Price: $32.55

Answer:

The probability of waking up early at least one day is 1.2

Step-by-step explanation:

We are given the tree diagram

We are supposed to find the probability of waking up early at least one day

So, we are supposed to find the probability of waking up early for 1 and more than 1 day

By studying the tree diagram

So the probability of waking up early for 1 and more than 1 day =[tex]\frac{2}{5}+\frac{2}{5}+\frac{2}{5}[/tex]

The probability of waking up early at least 1 day = [tex]\frac{2}{5}+\frac{2}{5}+\frac{2}{5}=1.2[/tex]

Hence the probability of waking up early at least one day is 1.2

Given:

The value of x = 2.

Solution:

F ( x ) = 2x⁴ - x³ + 5x - 9

=> 2 ( 2 )⁴ - ( 2 )³ + 5 × 2 - 9

=> 2 × 16 - 8 + 10 - 9

=> 32 - 8 + 10 - 9

=> 24 + 1

=> 25

A. 25

Answer:

Marvin spent $5 on a value meal after he earned $0.50 a day for doing chores at home

Step-by-step explanation:

The relationship between two quantities could be additive (In this case, one quantity is a result of adding a value to the other quantity) or multiplicative (In this case, one quantity is the result of multiplying the other quantity by a value).

Multiplicative Relationship is a relationship that shows two quantities expressed as multiples of each other.

It can be written as: y = nx

where y and x are multiples of each other

n is equivalent to the ratio of y to x

Let's consider the options we have:

a) On her diet, Mrs. Jackson lost 5 pounds every month.

y = x -a (a= constant)

y = x-5

There is no multiplicative relationship of a unit rate of 0.5 in the statement.

b) Mila eats 12 cup of yogurt every day.

There is no multiplicative relationship of a unit rate of 0.5 in the statement.

c) Marvin spent $5 on a value meal after he earned $0.50 a day for doing chores at home.

y = nx

n = 0.5

y is the result of multiplication of 0.5 by x

y = 0.5x

d) Manuel has 5 pet turtles. He hopes to add a new turtle to his reptile habitat each month.

y = x+a (a = constant)

y = x +1

There is no multiplicative relationship of a unit rate of 0.5 in the statement.

Answer:

l = 626.4/bh

Step-by-step explanation:

A triangular prism have a base that is triangular in shape. The volume of a prism has the volume represented as follows.

volume = Al

where

A = Base area

l = width

Since the base is a triangle the base area will be the area of a triangle. Therefore,

volume of a triangular prism = 1/2bh l

where

b = base of triangle

h = height of triangle

volume = 313.2 ft³

313.2 = 1/2bh l

Make the width(l) subject of the formula

multiply both sides by 2

626.4 = bhl

divide both sides by bh

l = 626.4/bh

l = 626.4/bh

recall l = width

Answer:

105cm^2

Step-by-step explanation:

5 times 6 = 30

30 div 2 = 15

6 times 15 = 90

90 + 15 = 105

Answer:

C

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

114° is an external angle of the triangle , thus

y + y = 114°

2y = 114° ( divide both sides by 2 )

y = 57° → C

Answer:

Step-by-step explanation:

180 degree

Answer: 50 miles

Step-by-step explanation:

a^2 + b^2 = c^2

48^2 = 14^2 = c^2

c^2 = 2500

c = 50

Answer:

13.7

Step-by-step explanation:

Using cosine formula:

AB^2 = AC^2 + BC^2 - 2*AB*BC*cosC

AB^2 = 15^2 +12^2 -2*15*12*cos60

AB = 13.7 in

Answer:

Step-by-step explanation:

The worth of the card =$75

The value of the card decreases after each music purchase forming a sequence:

75,74.11,73.22,72.33...

Now,

We see that the sequence forms an arithmetic sequence:

Where the first term, a is 75

Common difference, d=-0.89

We want to write an equation to define A(n), the amount of money on the gift card after n song purchases.

For an arithmetic sequence,the nth term A(n)=a+(n-1)d

Therefore:

The amount of money on the gift card after n song purchases.

A(n)=75-0.89(n-1)

A(n)=75+0.89-0.89n

A(n)=75.89-0.89n

To find out how many songs can Josh purchase with this card only, we take our nth term A(n) of the sequence to be 0 and solve for n.

A(n)=75.89-0.89n

0=75.89-0.89n

0.89n=75.89

Divide both sides by 0.89

n=85.3

n=85

Therefore, Josh can purchase 85 songs with this card only

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

add the exponents

(7+(-6)

=7-6

=1

and let the same base =4^1 =4