X=−2 x=−1 x=1 6(0.5x−1.5)+2x=−9−(x+6) x = − 2 – 6 ( 0.5 x − 1.5 ) + 2 x = − 9 − ( x + 6 ) x = − 1 – 6 ( 0.5 x − 1.5 ) + 2 x = − 9 − ( x + 6 ) x = 1 – 6 ( 0.5 x − 1.5 ) + 2 x = − 9 − ( x + 6 ) 4(0.5x−2)+3x=−14−(x+6) x = − 2 – 4 ( 0.5 x − 2 ) + 3 x = − 14 − ( x + 6 ) x = − 1 – 4 ( 0.5 x − 2 ) + 3 x = − 14 − ( x + 6 ) x = 1 – 4 ( 0.5 x − 2 ) + 3 x = − 14 − ( x + 6 ) 8(0.5x−3)+4x=−9−(x+6)

Answers

Answer 1

Given:

Three equations are

[tex]6(0.5x-1.5)+2x=-9-(x+6)[/tex]

[tex]4(0.5x-2)+3x=-14-(x+6)[/tex]

[tex]8(0.5x-3)+4x=-9-(x+6)[/tex]

Three solutions are [tex]x=-2,x=-1,x=1[/tex].

To find:

The solution of each equation from the given solutions.

Solution:

We have,

[tex]6(0.5x-1.5)+2x=-9-(x+6)[/tex]

Using distributive property, we get

[tex]3x-9+2x=-9-x-6[/tex]

[tex]5x-9=-15-x[/tex]

Isolate variable terms.

[tex]5x+x=-15+9[/tex]

[tex]6x=-6[/tex]

Divide both sides by 6.

[tex]x=-1[/tex]

Similarly,

[tex]4(0.5x-2)+3x=-14-(x+6)[/tex]

[tex]2x-8+3x=-14-x-6[/tex]

[tex]5x-8=-20-x[/tex]

[tex]5x+x=-20+8[/tex]

[tex]6x=-12[/tex]

[tex]x=-2[/tex]

Now,

[tex]8(0.5x-3)+4x=-9-(x+6)[/tex]

[tex]4x-24+4x=-9-x-6[/tex]

[tex]8x-24=-15-x[/tex]

[tex]8x+x=-15+24[/tex]

[tex]9x=9[/tex]

[tex]x=1[/tex]

Therefore, the solutions of given equations [tex]6(0.5x-1.5)+2x=-9-(x+6)[/tex], [tex]4(0.5x-2)+3x=-14-(x+6)[/tex] and [tex]8(0.5x-3)+4x=-9-(x+6)[/tex] are x=-1, x=-2 and x=1 respectively.


Related Questions

PLSS!!! HELP ME!!! I WILL MARK U!!!

Answers

Answer:

1.8

Step-by-step explanation:

27 miles per hour

so 27 divided by 15

im pretty sure that’s correct.

Which answer choice is a solution to the inequality 1.5x+3.75≥5.5? –1 1 1.5 0

Answers

Answer:

x ≥ 1.17

Step-by-step explanation:

[tex]1.5x+3.75≥5.5[/tex]

First of all subtract 3.75 from both sides of the equation

That's

[tex]1.5x + 3.75 - 3.75 \geq5.5 - 3.75 \\ 1.5x \geq1.75[/tex]

Divide both sides by 1.5

[tex] \frac{1.5x}{1.5} \geq \frac{1.75}{1.5} \\ [/tex]

We have the final answer as

x ≥ 1.17

Hope this helps you

Answer:

1.5

Step-by-step explanation:

help pls . .. a a z z z z . zz

Answers

Answer:

the lines are perpendicular

I believe it’s Perpendicular
So sorry if it’s wrong

Mr. Trpkosh was calculating the rate of change of two functions. The first function had a rate of change of -10; the second function had a rate of change of 8. Norman said the second function had the greater rate of change because 8 is greater than -10. Do you agree or disagree with Mr. Trpkosh? Explain your answer. *

Answers

Answer:

No, I do not agree with Mr. Trpkosh.

Step-by-step explanation:

The rate of change of a function means the total change in the function for a unit change in the independent variable.

If the function is increasing with increment in the independent variable, then the rate of change of the function is positive, while if the function is decreasing with the same,  then the rate of change of the function is negative.

Given that the rate of change of the first function = - 10, so this function is decreasing with a rate of 10.

The rate of change of the second function = 8, so this function is increasing with a rate of 8.

So, the first function has a higher rate of change.

Shana, who lives in Canada, and Pearl, who lives in Pennsylvania, were discussing the weather. Shana complained about the cold temperature of Negative 20 degrees Celsius. Pearl, who lives in Pennsylvania, mentioned that her temperature was the opposite of Shana's. Which is the correct way to represent "the opposite of Shana's temperature is equal to Pearl's"? Negative 20 = 20 Negative (negative 20) = negative 20 Negative (20) = negative 20 Negative (negative 20) = 20

Answers

Answer:

Negative (negative 20) = 20

Step-by-step explanation:

Given Shana temperature = -20°C

°If Pearls temperature is opposite that of Shana's then Pearls temparature = -(-20) = 20°C

Hence the correct way to represent "the opposite of Shana's temperature is equal to Pearl's

Opposite of shana = -(-20°C)

Pearls temperature = +20°C

Since Opposite of shana = Pearls temperature, hence  -(-20°C) = 20°C

Answer:

-(-20 = 20

Step-by-step explanation:

The "opposite" here means we take the negative of -20 C.

So we can write -(-20 which is equal to 20.

So the first option is correct, -(-20 = 20.

hope this helps:)

what is the simplest form

Answers

Answer:

c. 5 time the square root of 3

a=9
b=12
What is the length of c?

Answers

Answer:

c = 15

Step-by-step explanation:

a^2 + b^2 = c^2

This formula is the Pythagorean Theorem, which is used to find the length of one of the three sides to a right triangle. a and b are the two short sides, while c is the hypotenuse (long diagonal side).

Given a and b we are able to solve for c

c^2 = 9^2 + 12^2

c^2 = 81 + 144

c^2 = 225

Square root both sides to cancel the square

c = 15

Answer:

15

Step-by-step explanation:

Use this equation

a^2+b^2=c^2

so,

9 squared is 81 and 12 squared is 144.

81+144=225

The square root of 225 is 15.

can anyone explain how to find slope?

Answers

Answer:

Step-by-step explanation:

Answer:

sure

Step-by-step explanation:

so you will have to use m= rise/ run and for ex if you have the points (4,6) and (-3,3) you would lable 4 as x1, 6 as y1, -3 as x2, and finally 3 as y2 then you would use this form to find slope m= y2-y1/ x2-x1 then you would plug in numbers 3 - 6/ -3 - 4 then you would do the math and get -3/-7 (2 negatives equal a positive) so you would get 3/7 and theres the slope the slope is 3/7

Find four numbers if their ratio is 9:11 and their difference is 6.

Answers

Answer:

Step-by-step explanation:

Let the larger number = y

Let the smaller number = x

x/y = 9/11

y - x = 6

Add x to both sides of the second equation

y = 6 + x

Substitute into the first equation

x/(x + 6) = 9/11

Cross multiply

11x = 9(x + 6)

Remove the brackets

11x = 9x + 54

Subtract 9x from both sides.

2x = 54

x = 54/2

x = 27

y = 27 + 6

y = 33

(27,33)

And this one help me with

Answers

Mdskckskndnsnjsncjsnfjsndbap

Heeeeeeeeelp plssssssssssss

Answers

E and a are the same

Answer:

A and E

Step-by-step explanation:

This is an example of the distributive property.

28n-25 is the base

E shows 7(4n-5)

7*4=28=28n

7*5=35

7(4n-5)=28n-35

Suppose C and D represent two different school populations where C > D and C and D must be greater than 0. Which of the following expressions is the largest? Explain why. Show all work necessary
A: (C + D)^2
B: 2(C + D)
C: C^2 + D^2
D: C^2 - D^2

Answers


(c + d)²
Expand
c² + 2cd + d²
------------------

B: 2(C + D)
When c and d are between 0 and 1
2(c + d) > (c + d)²
Example c = 0.2 and d 0.1
2(c+d) = 0.6
(c + d)² = 0.09
When c and d are greater than 1 then
(c + d)² > 2(c + d)
-------------------------

C: C^2 + D^2
Since (c + d)² expanded is (c² + d²) + 2cd
c² +-d² is always greater
-----------------------

D: C^2 − D^2
Subtracting results in a smaller number
c² +-d² is always greater
-------------------
Since a schools population can never be between 0 and 1
The answer that you are supposed to choose is
A: (C + D)² <––––––
However the question is defective and should be changed
from: "C and D must be greater than 0︎⃣"
to: C and D must be greater than 1︎⃣

5 ice cream cones cost $7.25. At this rate, how much do
3 ice cream cones cost? Plus what is the cost per ice cream cone

Answers

Answer:

i

Step-by-step explanation:

. 7.25 divided by 3 is 2.416666666 on the calulater. and the cost per cone is 1.45. so each cone is 1.45 per each and the cost per cone of 3 is 2.416666666 for the calulater. I hoped I helped if I didn't I'm sorry

PLZ PLZ I NEED THIS TODAY!!
A line passes through (4, 5) and (8, 9). Which equation best represents the line? (4 points)

A.y = x + 1
B.y = 1
C.y = 2x + 1
D.y = 5x + 8

Answers

Answer:

A

Step-by-step explanation:

y=x+1

=> put y=5

5=x+1

x=5-1

x= 4

(4,5)

same put y=9

so, x= 8

(8,9)

y= 2x² + 36x + 170
(Find the vertex, show steps)

Answers

This is the answer. Hope it helps!
y=2(x²+18x+85)
Find the vertex of x²+18x+85

This is written of the form ax²+bx+c

a=1, b=18, c=85

The axis of symmetry is -b/2a
The axis of symmetry is the x term of your vertex (h,k)

So we have

h=-(18)/2

h=-9

k=f(-9) given that f(x) is x²+18x+85

(-9)²+18(-9)+85

81-162+85

-81+85

4

So your k value is 4

So because you’re vertex is (h,k) and since we found that h=-9 and k=4, your vertex is (-9,4)

Item 10 Question 1 Solve the equation y/3=5 .

Answers

Answer:

y = 15

Step-by-step explanation:

y/3 = 5

Multiply each side by 3

y/3 *3 = 5*3

y = 15

please help me with this​

Answers

Answer:

the mean is 5

Step-by-step explanation:

because if you add all the numbers and divide by the number of digits you should get the equation 40/8= 5 and that´s the answer

Answer: 5

Step-by-step explanation:

add up all the numbers, then divide by how many integers there are.

2+3+4+4+4+5+8+10=40

40 divided by 8 equals 5

Find integers whose product is -28 and sum is 12.

Answers

Answer:

Two integers whose product is -28 and sum is 12 are 14 and -2.

slope of one dotted lines:
slope of the reflection line:​

Answers

Answer:

Slope of dotted lines: 1

Slope of reflection line:​ -1

Step-by-step explanation:

For the dotted lines, the rise up by one unit and run for one unit, thus their slopes are 1.

For the reflection line, it does the same thing as the dotted line, but instead of rising one unit, it goes down for one unit and runs for one unit, making its slope -1.

Helppp please. (Picture included)

Answers

Answer:

its 160

Step-by-step explanation:

-.- no explanation

The height should be 160 because that is the vertical line

jerry has $115 in his savings account and $65 dollars in his checking account If Jerry deposits $20 to his savings account each week and $45 to his checking
account each week, how many weeks will it be until the two accounts have the same amount of money?

Answers

Answer:

after 2 weeks

Step-by-step explanation:

y=20x (savings account)

y=65x (checking account)

20*2 is 40. 115+40 is 155

45*2 is 90. 65+90 is 155

Name the slope and y-intercept of the graph of each question

y = 3x + 8

5x+y=17

PLEASE SOMEONE EXPLAIN TO ME HOW TO DO IT . WILL MAKE BRAINIEST AND 30 points

Answers

Answer:

Step-by-step explanation:

in the simplest terms, the y intercept is always at the end of the equation. the slope always has the x after it.

3x is the slope . 8 is the y intercept

5x is the slope while y is the basically the y intercept.

Answer:

in the simplest terms, the y intercept is always at the end of the equation. the slope always has the x after it.

3x is the slope . 8 is the y intercept

5x is the slope while y is the basically the y intercept.

Step-by-step explanation:

3.4 x 10⁴ - 2.9 x 10⁵ in scientific notation ​

Answers

Answer:

-2.56E5

3.4 x 10⁴ - 2.9 x 10⁵ in scientific notation = -2.56E5

Answer: -2.56 x 10⁵

:-D

there are 678 freshmen ,and 552 sophomore students. how many more freshmen than sophomore students are there?​

Answers

Answer: There is 126 more freshmen than sophomores.

Step-by-step explanation:

Subtract the number of freshmen by the number of sophomores.

678 - 552 = 126

Just subtract 678-552
Which equals 126
There are 126 more freshmen than sophomore students

Please help!

Write the expression as a power of a:

(a^5)2

Answers

See attachment for math work and answer.

GIVING BRAINLIEST! what is the slope and the y-intercept of the line on the graph below?

Answers

Answer:

Your answer is C. the y intercept is 1 and the slope is -1/4. Hope this helped!

Step-by-step explanation:

6
(-9)
(-9)

What is the answer?

Answers

Answer:486

Step-by-step explanation: you just multiply

-2, -7, -12,-17, ...
find out the nth term​

Answers

Answer:  -42

Step-by-step explanation:

Add 5 to each number until you reach the ninth term.

Answer:

-42 is the ninth term

Step-by-step explanation:

You need to find patterns in these kinds of problems. What do you do to the number to get to the next one? In this case, you are subtracting 5 from every number to get to the next. Therefore, to get to the ninth number, you must continue the pattern like this:

-2 (now subtract 5), -7 (subtract 5), -12 (-5), -17 (-5), -22 (-5), -27 (-5), -32 (-5), -37 (-5), -42 (-5)

Which of the following is an example of direct variation?
y= cx
xy = c
y = czx
y= cx/z​

Answers

Answer: Choice A) y = cx

The 'c' is the constant of variation

For example, if c = 2, then y = 2x is a direct variation. Whatever x is, we double it to get y. As x increases, so does y. As x decreases, then so does y. Both x and y increase/decrease together.

Direct variation equations always go through the origin, and they are always linear. The 'c' plays the role of the slope. You can think of y = cx as y = mx+b where b = 0 in this case and c = m.

Can someone help me create a slope story???

Answers

Answer:

I was walking home which I had to go up a hill I wanted to stop by the gas station which was a small hill upwords went back down that hill and the big hill to reach home.

Step-by-step explanation:

y axs = elavation

x axs = time

Hope that helped a little I need to do my hw but seen you needed help sorry if I did not help :(

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