Mathematics High School

8x + 2y= 10
Solve the equation for y ...?

Answers

Answer 1
8x+2y=10
-8x -8x

2y=-8x+10
_ _ _
2 2 2

y=-4x+5
Answer 2
The solution to your problem is as follows:

8x + 2y = 10

Transpose:

2y = 10 - 8x 

Divide both sides by 2:

y = 5 - 4x
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

Related Questions

Solve this 7(3x-4)=56

Answers

you need to expand the brackets first
21x - 28 = 56
then rearrange it
21x = 56 + 28
21x =84
divide it by 21 to get just x
x =4

hope this helps you

The polynomial 6x2 + 37x – 60 represents an integer. Which expressions represent integer factors of 6x2 + 37x – 60 for all values of x?

3x – 4 and 2x + 15
3x + 4 and 2x – 15
2(x – 2) and 3(x + 5)
2(x + 2) and 3(x – 5)

Answers

I hope this helps you

Answer:

[tex]\text{The integral factors are }(3x-4)(2x+15)[/tex]      

Step-by-step explanation:

Given the quadratic polynomial

[tex]6x^2+37x-60[/tex]

we have to find the integral factors of the above polynomial.

[tex]\text{The polynomial is }6x^2+37x-60[/tex]

By splitting middle-term, the polynomial can be written as

[tex]6x^2+37x-60[/tex]

[tex]6x^2-8x+45x-60[/tex]

Taking 2x common from first two terms and 15 from last two terms.

[tex]2x(3x-4)+15(3x-4)[/tex]

Taking (3x-4) common

[tex](3x-4)(2x+15)[/tex]

which are required factors of given polynomial.

Hence, option 1 is correct.

5. If p || q, which pair of angles must be congruent?

1 and 8

2 and 5

4 and 6

7 and 8

Answers

Answer:

1 and 8.

Step-by-step explanation:

Two angles will be congruent if both measure the same. Then, as p is parallel to q we have that the alternate external angles (pair of angles out of the parallel lines, one on the right of the transversal line and the other on the left of the transversal line) has the same measure. In this case, 1 and 8 are alternate external angles.

A^2 + 4^2 = 5^2

A = __

Answers

3 is the correct answer

Solve this problem
13=24+c

Answers

To solve this problem you need to use inverse operations, which is how to cancel out numbers.
13=24+c
-24
-11=c
Hope this helps!
13=24 +c
-24 -24
-11=c

Factorise this
72-6x

Answers

6(12-x)

This is The Answer
:)
To go off of what Perseus said, the answer is
6(12-x)
because both 72 & -6x are divisible by 6, which is the greatest common factor of both terms.

Identify the degree of the polynomial 8x^3y^2 – 10xy + 4x^2y^2 + 3.

Answers

When the polynomial has more than one variable you have to sum the exponents of the variables for every monomial. The largest sum is the order of the polynomial.

Here:

momomial   sum of the exponents
8x^3y^2       3 + 2  = 5
-10xy           1 + 1 = 2
4x^2y^2       2 + 2 = 4

Then the degree is 5.

Answer:

The degree of the polynomial is 5

Step-by-step explanation:

Translate the algebraic expression 3x+5 into a word phrase

Answers

3x+5 into a word phrase is: 5 more than 3 times a number x
Im sorry but the answer given first is not correct, the correct answer is three times a number  increased by 5. I hope this helps greatly

The product of (1/2 3/4i) and(1/2-3/4i) divided by (2-3i)

Answers

1/4-3/4
-----------
2-3i

-1/2
-------
2-3i


And that's simplified, assuming the blank was meant to be a +


The seventh term of the sequence -2, -6, -10, -14, ... is _____.

-26
-24
-22
-20
please help...

Answers

-26
the formula is -2-4(n-1)=2-4n
so the seventh term is 2-4*7=2-28=-26

Paper cost $49 for 10 reams. How much for 1 ream?

Answers

For 10 ream, it's cost = $49
So, for 1 ream, it would be: $49/10 = $4.9

So, your final answer is $4.9

Hope this helps!

To calculate the cost of 1 ream of paper from the total cost of 10 reams, divide $49 by 10 to get $4.90 per ream.

To find out how much it costs for 1 ream of paper when 10 reams cost $49, we simply divide the total cost by the number of reams. In this case:
Cost per ream = Total cost / Number of reams
Cost per ream = $49 / 10
Cost per ream = $4.90

Therefore, the cost for 1 ream of paper is $4.90.

A snake is slithering toward you at 1.5 m/s. If you start walking when it is 5.0 m away, how fast must you go in order that the snake not overtake you when you have gone 40.0 m?

Answers

First, since the snake is travelling at a constant velocity, find out how long it takes the snake to go 45m (you have a 5m head start). 45m1.5m/s=30s Now you just need to go your 40 meters in that amount of time: Xf−Xi=1/2(Vi+Vf)t 40m−0m=1/2(0+Vf)(30s)40m∗230s=Vf=223m/s Since you're starting from rest, your average speed must be half of that which is 113m/s So at 40m, you and the snake will be at the same point however you will be going 223m/s at that point so the snake cannot overtake you. Looking back at the question, I believe it wants to know what your average speed needs to be...which is:>113m/s
45/1.5 = 40/x
45x = 60
x = 60/45 = 1.33

Therefore, you must walk as fast as 1.33 m/s for the snake not to overtake you before you have gone 40m.

At wild thing zoo, you can rent a motorized cart to tour grounds for a $3 initial charge and $7 per hour. at safari zoo, you can rent the same cart for a $7 initial charge and $6 per hour. for how many hours is the total charge the same?

Answers

when setting up the equation you have the initial fee and the hourly fee. The hourly fee is what must be multiplied by the number of hours which is our unknown

If f(x) = x3 – 2x2, which expression is equivalent to f(i)?
–2 + i

–2 – i

2 + i

2 – I

Answers

Answer:

It's D

2-i

Step-by-step explanation:

Order the numbers from least to greatest.
0.21,1/5 , 0.18, 24%

Answers

1/5,0.18,0.21,24% 1/5 is .02 and 24% is 0.24

The arrangement from least to greatest is 0.18 < 0.20< 0.21< 0.24.

What is Ascending Order?

Numbers can be arranged in ascending order, from least value to highest value. The arrangement is left to right. Increasing order is another name for ascending order.

Given:

0.21,1/5 , 0.18, 24%

Now, writing each fraction in decimal form

1/5 = 0.2

24% = 24/100 = 0.24

So, we have the following numbers

0.21, 0.20, 0.18, 0.24

Hence, the arrangement from least to greatest is 0.18 < 0.20< 0.21< 0.24.

Learn more about Ascending order here:

https://brainly.com/question/20681445

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PLZZZ HELP ME!!
Edward’s recipe for salad uses a ratio of 2 1/4 cups of lettuce to 1/2 lb of tomatoes.
(a) Use a complex fraction to compare the amount of lettuce to the amount of tomatoes.
(b) Determine how many cups of lettuce Edward needs to mix with 1 lb of tomatoes. Show your work.

Answers

a.
(9/4)/(1/2)
b.
For one pound of tomatoes we would end up doubling the recipe.
The equation would look like this 
2((9/4)/(1/2)
You would distribute and get
(18/4)/(2/2)
which when simplified once is
(9/2)/(1)
but once simplified even more you get your answer.
4.5 cups of lettuce for 1 cup of tomatoes

Answer:

4.5 cups of lettuce for 1 cup of tomatoes

Step-by-step explanation:

16,000 rolls of paper were purchased and 12,500 were sold at $1.79, what is the total ending inventory?

Answers

12,500 x 1.79 to find the price but 16,000 - 12,500 to get how many were left. 
12,500 x 1.79 = $22,375 that they made from selling. 16,000 - 12,500 = 3,500 rolls left in the inventory. This question confused me so I just gave both answers.
12500*1.79=22,375 16000*1.79=28,640 Total ending inventory=28640−22,375 =6,265

what is the angular velocity of a 6-foot pendulum that takes 3 seconds to complete an arc of 14.13 feet?

Answers

First find the central angle A in degree. Perimeter circle 2Pi*R --> 360 deg Arc A = 14.13 --> x deg (360*14.13)/2Pi*R = 5086.8/37.68 = 135 deg The pendulum rotates 135 deg in 3 sec. Then, the angular velocity is : 135/3 = 45 deg/sec i think

A function f satisfies the following conditions: f(5)=20, f'(5)=2, and f"(x)<0, for x>=5. Which of the following are possible values for f(7)? possible choices are 28, 20, 26, 24, 22

Answers

Final answer:

Given the function's conditions, the value of f(7) must be less than or equal to 24 due to the concave-down nature indicated by the negative second derivative, making 20, 22, or 24 possible values for f(7).

Explanation:

The student asked about determining possible values for a function f(x) given a set of conditions: f(5)=20, f'(5)=2, and f"(x)<0 for x>=5. The negative second derivative indicates that the function is concave down for x>=5, meaning the rate of increase of f(x) is decreasing. Starting at x=5 with a value of 20 and a slope of 2, we can deduce that after moving 2 units to x=7, the value of f(7) cannot be greater than what it would be if f(x) were linear, since f"(x)<0 implies the function's rate of growth is decreasing. Therefore, f(7) must be less than or equal to 20 + 2*(7-5), which is 24.

Since the rate of increase is decreasing and the function cannot increase at a rate faster than the initial slope of 2, the possible values for f(7) among the given choices must be less than or equal to 24. Thus, the possible values for f(7) could be 20, 22, or 24.

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The value of f(7) is 24.

Given the function f with conditions f(5)=20, f'(5)=2, and f''(x)<0 for x ≥ 5, we need to find possible values for f(7) from the choices given: 28, 20, 26, 24, and 22.

Here is a step-by-step solution:

f(5)=20 indicates that at x=5, the value of the function is 20.f'(5)=2 tells us that the slope or the derivative at x=5 is 2, which implies the function is increasing at this point.f''(x)<0 for x ≥ 5 indicates that the function is concave down, meaning its slope is decreasing as x increases.

Since the function is concave down, the rate of increase of the function will decrease as x moves from 5 to 7:

f(x) initially increases from 5 to 7 with a slope of 2, so f(7) cannot be lower than f(5): 7 − 5 = 2 * 2 = 4, thus the function increases by at most 4 from 5 to 7.So the maximum possible value considering the concavity is 20 + 4 = 24.

Therefore, among the choices 28, 20, 26, 24, and 22, the possible value for f(7) given the conditions is 24.

the number of roses was 15 greater than twice the number of prunes. if the roses and prunes totaled 255, how many roses were there?

Answers

x=number of roses
y=number of prunes
we can suggest this system of equations:
x+y=255
x=2y+15

We can solve this system of equation by substitution method.
x=2y+15

(2y+15)+y=255
3y=240
y=240/3
y=80

x=2y+15
x=2(80)+15
x=160+15
x=175

Answer: there was 175 roses and 80 prunes.

The problem is a simple algebraic equation that, when solved, shows there were 175 roses.

To solve the problem given by the student, we need to set up an equation based on the information provided. We are told that the number of roses was 15 greater than twice the number of prunes, and together they totaled 255.

Let the number of prunes be p. Then the number of roses can be represented as 2p + 15. Adding these amounts must total 255, so we can write the following equation:

2p + 15 + p = 255

Combining like terms:

3p + 15 = 255

Subtracting 15 from both sides of the equation:

3p = 240

Dividing both sides by 3:

p = 80

Now that we have the number of prunes, we can find out the number of roses:

Roses = 2p + 15 = 2(80) + 15 = 160 + 15 = 175

Therefore, the student had 175 roses.

-8 ( 3-s) = 32 what is s

Answers

-8(3 - s) = 32
So you expand the brackets
-24 + 8s = 32
And then solve
+ 24
8s = 56
÷ 8
s = 7
Hope this helps!

how do you solve (x3 + 6x2 + 3x + 1 ) ÷ (x - 2)

Answers

We conduct long division, cancelling each term in x³ + 6x² + 3x + 1. As so:

x²(x -2) = x³ - 2x²
Subtracting from the original equation, we get:
8x² + 3x + 1

8x(x - 2) = 8x² - 16x
Subtracting from the new equation, we get:
21x + 1

21(x - 2) = 21x - 42
Subtracting from the new equation, we get:
43

The answer is x² + 8x + 21 with a remainder of 43.

a 6 feet tall boy cast a shadow of 9 feet at the same time of the day if the shadow of a tree measures 21 feet what is the height of the tree

Answers

Ratio of object to it's shadow = 6/9 = 2/3

So, height of the tree would be: 21 * 2/3 = 14 feet

So, your final answer is 14 feet

Hope this helps!

A country's population in 1991 was 114 million. In 1997 it was 120 million. Estimate the population in 2014 using exponential growth. ...?

Answers

The answer is 138 million.

Step 1. Calculate the growth rate.
Step 2. Calculate the population number in 2014.

We will use the formula for exponential growth:
A = P * eⁿˣ
where:
A - the final amount (value)
P - the initial amount (value)
e - the mathematical constant (e ≈ 2.72)
n - the growth rate
x - the time

Step 1:
A = 120 million = 120 000 000
P = 114 million = 114 000 000
n = ?
x = 1997 - 1991 = 6
Therefore:
[tex]120 000 000 = 114 000 000 * e ^{n*6} \\ e ^{n*6} =120 000 000 /114000000 \\ e ^{n*6} =1.05 \\ [/tex]
Logarithm both sides of the equation:
[tex]ln(e ^{n*6})=ln(1.05) \\ n*6*ln(e) = ln(1.05) \\ 6n=ln(1.05) \\ n = \frac{ln(1.05)}{6} \\ n = \frac{0.05}{6} \\ n = 0.0083[/tex]

Step 2:
Now when we know the growth rate, it is easy to estimate the population in 2014
A = ?
P = 120 000 000
n = 0.0083
t = 2014 - 1997 = 17
[tex]A = 120 000 000 * e ^{0.0083*17} \\ A = 120 000 000 * e^{0.1411} \\ A = 120 000 000 * 1.15 \\ A = 138 000 000 [/tex]
Thus, the population will be 138 million in 2014

A graph thAt has a finite or limited number of data points is

Answers

It seems that you have missed the necessary options for this question, but anyway here is the answer. A graph that  has a finite or limited number of data points is called a DISCRETE GRAPH. On the other hand, the opposite for this graph is called the continuous graph. Hope this answers your question. 

The correct answer is:


Discrete graph.


Explanation:


A discrete graph is a graph of disconnected points.


Since they are disconnected, this means the graph only has values at the points drawn, not between.


The opposite of a discrete graph is a continuous graph; it is a graph of connected points. Since the points are connected, the graph has values between all of the points. This is similar to what we learned in geometry about a line; a line has an infinite number of points. This is true of the connections between points in a continuous graph.


Since a discrete graph is the opposite of a continuous graph, this means it does not have an infinite number of points; a discrete graph has a finite number of points.

Holly made fruit punch for an office party a few months ago; she used 1 gallon of strawberry juice and 3 gallons of watermelon juice, which cost her a total of $8. For today’s party, she used 3 gallons of strawberry juice and 2 gallons of watermelon juice, spending a total of $10. How much does a gallon of each type of juice cost?

Write a system of equations to describe the situation and solve using elimination. (use x for strawberry juice and y for watermelon juice)

Answers

I know the equation, but not the answer sorry,

x+3y=8
3x+2y=10

then you would subtract 3y from that side so you now have

x=-3y+8

then you would place that into the equation ender it so
3(-3y+8)+2y=10
distribute
-9y+24+2y=10
add like terms
-7y+24=10
subtract 24 from both sides
-7y=-14
divide by 7 on both sides
y=2
and since a negative divided by a negative is a positive the answer is positive 2
then plug it back in to find x
x + 6=8
subtract 6 from both sides
x=2
so there you have it
x=2
y=2

Mary baked 21 cookies on Saturday and twice that many on Sunday for a school fundraiser. 4 cookies fell on the ground and had to be thrown out. If she packaged 3 cookies to a bag, how many cookies were left over?
A) 0
B) 1
C) 2
D) 3

Answers

C)2 Because she will be able to use 12 bags of 3 cookies each so 36 cookies. She baked 21 (2) cookies - 4 cookies that fell = 42 - 4 = 38 cookies.

Which equation represents the line that passes through (–6, 7) and (–3, 6)?

Answers

y= -1/3x+5 is the equation to represent this line

Answer:

Equation of line become [tex]y= \frac{- 1 *x}{3}+ 5[/tex].

Step-by-step explanation:

slope of the line

we know that the formula to calculate the slope between two points is equal to

Slope (m) = [tex]\frac{y_{2}- y_{1} }{x_{2}-x_{1}}[/tex].

substitute the values

(m) = [tex]\frac{6 - 7} }{ -3 - (-6)}[/tex].

(m) = [tex]\frac{-1} }{3}[/tex].

With the slope m and the point (-6, 7)  find the equation of the line

we know that

the equation of the line in the point-slope form is equal to

[tex](y - y_{1}) = m ( x - x_{1})[/tex].

substitute the values

[tex](y - 7) = \frac{-1}{3} (x - ( -6))[/tex].

[tex](y - 7) = \frac{-1}{3} (x + 6)[/tex].

[tex](y - 7) = \frac{-x}{3} +2 )[/tex].

On adding both sides by 7.

[tex]y= \frac{-x}{3}  - 2 + 7 [/tex].

[tex]y= \frac{-x}{3}+ 5[/tex].

Therefore, equation of line become [tex]y= \frac{-1 *x}{3}+ 5[/tex].

Line 1
x y
−1 1
0 3
Line 2
x y
1 5
3 3


(a) Write the equation for Line1 in slope-intercept form.
(b) Write the equation for Line 2 in slope-intercept form.

Answers

slope intercept is y=mx+b
m=slope
b=yint

find slope
the slope for 2 points (x1,y1) and (x2,y2) is
(y2-y1)/(x2-x1)


A.
(-1,1) and (0,3)
slope=(3-1)/(0-(-1))=2/1=2
y=2x+b
find b
(-1,1)
x=-1 an y=1
1=2(-1)+b
1=-2+b
add 2
3=b
y=-2x+3



B.

(1,5) and (3,3)
slope=(3-5)/(3-1)=-2/2=-1
y=-x+b
(3,3)
3=-3+b
add 3
6=b
y=-x+6






A. y=-2x+3
B. y=-1x+6

Answer:

im cool

Step-by-step explanation:

Put these numbers in order from least to greatest.
-15-26/40, -15, 18/25, 15.85

Answers

-15 26/40=-15.65
-15
18/25=0.72
15.85
so From least to greatest
 -15.65, -15, 0.72, and 15.85



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