Hi. I need help with this question :

Question : y is such that
[tex]4y - 7 \leqslant 3y[/tex] and
[tex]3y \leqslant 5y + 8[/tex]:
I). What range of values satisfies both inequalities ?
II). Hence, express
[tex]4y - 7 \leqslant 3y \leqslant 5y + 8[/tex]
in the form of
[tex]a \leqslant y \leqslant b[/tex]
where a and b are both integers.

Please show workings.

Answers

Answer 1

Answer:

-4≤y≤7

Step-by-step explanation:

4y-3y≤7

y≤7

and

3y-5y≤8

-2y≤8

y≥-4

so, -4≤y≤7

Answer 2

9514 1404 393

Answer:

  -4 ≤ y ≤ 7

Step-by-step explanation:

Solve the inequalities separately, then identify the intersection of the solution sets.

4y -7 ≤ 3y

  y -7 ≤ 0 . . . . . . . subtract 3y

  y ≤ 7 . . . . . . . . . add 7

3y ≤ 5y +8

  0 ≤ 2y +8 . . . . . . subtract 3y

  -8 ≤ 2y . . . . . . . . . subtract 8

  -4 ≤ y . . . . . . . . . . divide by 2

The intersection of the sets y ≤ 7 and -4 ≤ y is given by ...

  -4 ≤ y ≤ 7


Related Questions

30 Points!!!! I NEED HELP FAST

Answers

Answer:

X = 4

Step-by-step explanation:

414 - 108 - 130 = 176

13x + 11x + 5x + 10x + 5x = 176

44x = 176

x = 4

plz answer 30 points logs

Answers

Answer:

1.2

Step-by-step explanation:

Answer:

It will be 1.2

Step-by-step explanation:

Hope this Helped

Mr. Winters has a $50 daily budget for car rental. He has rented a car for a flat $10 a day, plus $0.12 per mile. What mileage will keep him within his budget?

Answers

Answer:

333 miles

Step-by-step explanation:

50 = 10 + 0.12x

40 = 0.12x

333.33 miles = x

equals to spending $49.96

find the inequality by the graph​

Answers

Answer:

[tex]y>\frac{1}{3} x - 3[/tex]

Step-by-step explanation:

So we first look at the dotted line in the graph, which is [tex]y=\frac{1}{3}x-3[/tex]. Next, we see that the blue area is the area above the line, so it should be [tex]y>\frac{1}{3} x - 3[/tex].

Carmen has an average of 8 on two 10-point math quizzes. If she scored 10 on the third quiz, what is true of Carmen's average score on all three quizzes?

Answers

Answer:

9

Step-by-step explanation:

need help with this question asap !!!

Answers

Answer:

I think it is B

Step-by-step explanation:

Answer:  D) 12

=========================================================

Work Shown:

The smaller angles UVN and NVW add up to the largest angle UVW.

This is due to the angle addition postulate.

(angle UVN) + (angle NVW) = angle UVW

(6x+13) + (46) = 11+10x

6x + 59 = 11 + 10x

6x - 10x = 11 - 59

-4x = -48

x = -48/(-4)

x = 12

----------------

Extra info:

If you're curious about the angles, then we use that x value to find them

angle UVN = 6x+13 = 6*12+13 = 72+13 = 85 degreesangle NVW = 46 degreesangle UVW = 11+10x = 11+10*12 = 11 + 120 = 131 degrees

Note how 85+46 = 131 to show that (angle UVN) + (angle NVW) = angle UVW is a true equation. This confirms our answer for x.

need to solve for x
4x - 2 = 2x + 1

Answers

The answer would be x= 3/2

You would take 2 and add it to the other side leaving 4x by itself, leaving you with the equation 4x= 2x + 3.
Then you would divide both side by 2 giving you 2x= 3. Then you would divide by 2 again to get x=3/2.
Add the 2 to the 1 and then minus 2x from 4x so you get 2x = 3

Select the correct solution for the expression.

2
5
+
3
8

Answers

Answer:

25+38= 63

Step-by-step explanation:

Used a calculator.

HIGHER ORDER THINKING A cell phone plan is shown on the right. The rates, which include an unlimited data plan, are the same each month for 7 months. The total cost for all 7 months is $180.39. Let m represent the average number of minutes that exceeds 700 minutes each month. A. Write an equation to represent the given situation. B. Solve the equation to determine how many additional minutes, on average, you use each month.

Answers

Answer: (a). M=7x180+39+700. (B) $731

Step-by-step explanation:

Equation to represent the given situation is 7(19.70 + 1.97 + m X 0.05) = 180.39; additional minutes, on average, you use each month is 82

What is Linear Equation?

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

Given that;

Total cost for 7 month =$180.39

Let m be the average number of minutes  that exceeds 700 minutes every month

Equation formed;

7(19.70 + 1.97 + m X 0.05) = 180.39,

or,  7(19.70 + 1.97 + m X 0.05) = 180.39,

or, 21.67 + 0.05m = 180.39/ 7,

or, 0.05m = 25.77 – 21.67,

0.05m = 4.1

m= 82

Therefore,  equation for (a) : 7(19.70 + 1.97 + m X 0.05) = 180.39 and 82 will be the answer of (b)

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Plz answer im stuck on this question

Answers

Answer:

It b

Step-by-step explanation:

can u rate it brainliest

Over which interval on the x-axis is there a negative
rate of change in the function?
O-2 to -1
O -1.5 to 0.5
O 0 to 1
O 0.5 to 1.5

Answers

There is a negative rate of change in the function In the interval (-2,-1) on the x-axis.

What is the average rate of change between two coordinates?

The slope of the straight line connecting two points is the average rate of change between those two coordinates.

We can infer from the graph,

the slope of the straight line connecting these points is negative in the range of -2 to -1.

As a result, the function's rate of change over this interval is negative.

Hence, In the interval –2 to –1 there is a negative rate of change in the function.

Learn more about the rate of change here:

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I need the equation ​

Answers

Answer:

Are you talking about the corrida nates

Step-by-step explanation:

Adrian invested $790 in an account paying an interest rate of 6.9% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $2,550?​

Answers

Answer:17

Step-by-step explanation:

trust me its right, no cap

As per compound interest,  it would take 17 years for the value of the account to reach $2,550

What is the compound interest?

If the invested amount is 'P', the rate of interest is r%, and the time of investment is 'n' years, then the compound interest after mentioned duration is = P[1 -  [tex]e^{rn}[/tex]]

Given, the invested amount (P) = $790.

Rate of interest (r) = 6.9% = 0.069.

Let, the amount is invested for 'n' years.

The value of the amount after 'n' years = $2550.

Now, as per compound interest:

A = P. [tex]e^{rn}[/tex]

⇒ 2550 = 790 [tex]e^{(0.069n)}[/tex]

⇒ [tex]e^{(0.069n)}[/tex] = (2550 ÷ 790)

⇒ [tex]e^{(0.069n)}[/tex] = 3.23

⇒ 0.069n = 1.172

⇒ n = 17

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Factor the expression.
3x + 6
The factored expression is

Answers

Answer:

3(x+2)

3x+6

hope it's helpful ❤❤❤❤

THANK YOU.

#

3x+6 hopes this helps you

HELP U WILL GET BRAINLIEST
The height of a male athlete testing his vertical jump can be modeled by h = − 16t ^2 + 14t. The height is h and the time is t. How many seconds is he in the air?

Answers

Answer:

0.88 (I think this is how Mrs. Futch wants it to be written)

Step-by-step explanation:

h=-16t^2+14t

(Substitute h with 0)

0=-16t^2+14t

(Factor)

0=2t(-8t+7)

2t=0               -8t+7=0

t=0                  t=0.88

{0, 0.88}

(John Komperda)

Solve the system of equations by ELIMINATION.
Show the work that would correspond with the elimination method.
PLS HELP I ONLY HAVE 20 MINUTES

Answers

Step-by-step explanation:

4x + 2y = 10 --------(1)

2x + 3y = 33 -----------(2)

Multiply 2 with eq. (1) and 4 with eq. (2)

8x + 4y = 20 ____________(3)

8x + 12y = 132 ______(4)

Subtracting (3) from (4),

8x + 4y = 20

- 8x -12y = -132

----------------------

0 -8y = -112

y = 112/8

y = 4 is the answer.

Putting the vakue of y in eq. (2),

2x + 12 = 33

2x = 33-12

2x = 21

x = 21/2 is the answer.

what's 200 - 400 fast...​

Answers

Answer:

-200

Step-by-step explanation:

Answer:

-200

Step-by-step explanation:

200 - 400 = -200

Can someone help me with this please

Answers

Answer:

[tex]y = - \frac{5}{6} x - 7[/tex]

Step-by-step explanation:

from the chart, you can get 2 points

(0,-7) & (-6,-2)

y=ax+b

b=-7

-2=-6a-7

a=-5/6

Robert deposits $ 3000 in State Bank of India for 3 year which earn him an interest of 8%. How much money does have in TOTAL after 3 years with interest? Show your steps to support your answer.

Answers

Answer:

$3779.14

Step-by-step explanation:

I'm going to assume that the interest is compounding annually

We have the following equation

PV(1+i)ⁿ

Plug in our numbers and we have

3000(1+.08)³

3000(1.259712)=3779.136 which rounds to 3779.14

please help 4x + 8 + 7x + 3

Answers

Answer:

11x + 11

Step-by-step explanation:

11x

11

=11x + 11

Answer:

11x  + 1 1

Step-by-step explanation:

Simplify

Combine like terms

Write 20% as a fraction​

Answers

Answer:

1/5

Step-by-step explanation:

Which one is it???????

Answers

X-4 I hope this is right

What is the ratio of a:b, knowing that a-b / a+b = 3/5

Answers

Answer

i am going to give you 2 answer

1. solving for A is:  A=3/5 -b

2. solving for B is:  B=3/5 -a

Step-by-step explanation:

correct me if I'm wrong

let me know if it's correct or not

Answer:

soo what is the answer

Step-by-step explanation:

Find the value for x.​

Answers

Answer:

bslsbz zk.dmddm

X m83+3(_('(!'"

Answer:

The answer is 36

Step-by-step explanation:

[tex]when \\ \frac{4}{3} x + 42 = 90 \\ then \\ \frac{4}{3} x = 48 \\ 4x = 3 \times 48 \\ x = 36[/tex]

Name a list of all of vegetas battle powers during each saga. Will give 100pts! And BRAINLIEST TO first answer!
I would just copy and past you don't have to right it just find iton the internet thx

Answers

Answer:

Character Power level Source

Vegeta 18,000 Vol. 21, #249

Goku 10,000 Movie 6 Pamphlet

Piccolo 8,000 Movie 6 Pamphlet

Gohan 6,000 Movie 6 Pamphlet

Step-by-step explanation:

please help with 5 please and thank you

Answers

Answer:

=4p^2−12p+13

Step-by-step explanation:

Let's simplify step-by-step.

4p^2−12p+13

There are no like terms.

Choose the amounts of sales that would give Shonda's business positive balance choose all that apply 

Answers

Answer:

pwpqldkd

Step-by-step explanation:

oeiekekekkekejeje

strawberries are $1.95 a pound. Write an expression for p pounds of strawberries

Answers

Answer:

dollar

Step-by-step explanation:

Answer:

1.95x

Step-by-step explanation:

x equals the # of pounds of the strawberries

Which answer describes the sequence {1,3,7,15,…} as a mathematical statement?

Answers

Answer:

so just successive powers of 2

Step-by-step explanation:

1, 3, 7, 15, 31, 63, _? Add successive powers of 2 to the number: 1+2=3; 3+4=7; 7+8=15; 15+16=31; 31+32=63; 63+64=127.

The given sequence {1,3,7,15,…} has general term S = A(n-1) + (A(n-1) + 1) where A0 = 1.

Given that,

To justify the given sequences 1,3,7,15.


What is arithmetic progression?

Arithmetic progression is the series of numbers that have common differences between adjacent values

What is geometric progression?

Geometric progression is a sequence of series whose ratio with adjacent values remains the same.

Here,
Given a sequence, 1,3,7,15
where first term      A0 = 1
         second term  A1 = 1 + 2 = 3
          third term      A2 = 3 + 4 = 7
From above sequence we can conclude the general term for the sequence as, S = A(n-1) + (A(n-1) + 1)

Thus, the given sequence {1,3,7,15,…} has general term S = A(n-1) + (A(n-1) + 1) where A0 = 1.

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Simplify the expression:
(6x - 3) + (5x + 7) and if u can show steps

Answers

Step-by-step explanation:

Let's simplify step-by-step.

6x−3+5x+7

=6x+−3+5x+7

Combine Like Terms:

=6x+−3+5x+7

=(6x+5x)+(−3+7)

=11x+4

Answer:

11x + 4

Step-by-step explanation:

hope this helps!!!

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