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

The volume of this sphere is 972 pi cubic inches. What is its radius?

A sphere.

Recall the formula Sphere Volume = four-thirds pi r cubed

Answers

Answer:

Step-by-step explanation:

volume of sphere = 4πr³/3 = 972π in³

r³ = 729 in³

r = 9 in

The value of its radius is,

⇒ r = 6.14 inches

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The volume of this sphere is 972 pi cubic inches.

Now, We know that;

Volume of sphere is,

⇒ V = 4/3πr³

⇒ 972 = 4/3 × 3.14 × r³

⇒ 972 × 3 = 12.56 × r³

⇒ r³ = 232.16

⇒ r = ∛232.16

⇒ r = 6.14 inches

Thus, The value of its radius is,

⇒ r = 6.14 inches

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Can you solve this got less than 30 minutes

Answers

Answer:

2x-3y=-8?

Step-by-step explanation:

y=1x-1 what would m=

Answers

m is the slope so the slope is 1


Pocahontas wants to buy a tennis racket that is 70% off. The original price is $156.33. What is amount of discount (nearest penny)?
What is the sale price (nearest penny) please show your work

Answers

1. You could plug this into the calculator as either 70% of 156.33 or 0.7 × 156.33, but either way you know the discount is going to be $109.43

2. We got the discount, so all you have to do is subtract it from the original. 156.33 - 109.43 = $46.90 which is the sale price! I hope this helps

Given f(x) = 2x^2+ kx – 9, and the remainder when f(x) is divided by x + 6 is
57, then what is the value of k?

Answers

Given:

The function is

[tex]f(x)=2x^2+kx-9[/tex]

The remainder when f(x) is divided by x+6 is 57.

To find:

The value of k.

Solution:

According to the remainder theorem, if a polynomial function f(x) is divided by (x-a), then f(a) is the remainder.

The remainder when f(x) is divided by x+6 is 57.

Using remainder theorem, we get f(-6)=57.

Putting x=-6 in the given function.

[tex]f(-6)=2(-6)^2+k(-6)-9[/tex]

[tex]57=2(36)-6k-9[/tex]

[tex]57=72-6k-9[/tex]

[tex]57=63-6k[/tex]

On further simplification, we get

[tex]6k=63-57[/tex]

[tex]6k=6[/tex]

[tex]k=\dfrac{6}{6}[/tex]

[tex]k=1[/tex]

Therefore, the value of k is 1.

Answer:

person above lol

Step-by-step explanation:

Question 4
Solve the system of equations and choose the correct answer from the list of options.
x+y=-3
y = 2x + 2
A) ( 5/3,4/3)
B) (-5/3,-4/3)
C) (-2/5,-3/4)
D) ( 3/4,3/5)

Answers

I believe it’s C (-2/5,-3/4)

The digit 5 in which number represents of a value of 50?

Answers

Answer:

The digit 5 in which number represents of a value of 50=5×5×2

ILL GIVE BRAINLIEST!
what is the measure of angle JKL 70

Answers

Answer:

220°

Step-by-step explanation:

If you were to draw a line from points J and L to the center of the circle and call the center point O, angle JOL would be twice as much as angle JKL which is 140° according to a circle law. Since arc JL is 140°, arc JKL would be 220°, as an entire circle is 360°.

POSSIBLE POINTS: 0.83
On Saturday, Breanne drove 25 miles. On Sunday, she
drove 125 miles. The number of miles Breanne drove on
Sunday is what percent of the number of miles she drove
on Saturday?
%

Answers

Answer: 500%

Step-by-step explanation:

125 / 25 = 5 = 500%

We can check this answer by doing 5×25 = 125 so our answer is correct.

I am not a professional, I am simply using prior knowledge!

Note- It would mean the world to me if you could mark me brainliest!

helppp asap pleaseeeeee

Answers

The other answer is incomplete. The complete answers are B, C, and D

Order these numbers from least to greatest 7.7 7.608 7.67 7.4072

Answers

Answer:

LtoG

7.4072

7.608

7.67

7.7  

Step-by-step explanation:

7.4072,
7.608,
7.67,
7.7
Try thinking of the numbers as money... $7.40 is smaller than $7.60 cents...round if you need to if the numbers are too close to tell. Hope this helps!

what is the area of a workshop that is 4 yeards wide and 5 2/3 yards long
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Answers

Correct answer:

22 2/3

Barry saved $7 less than Nadine. Together they saved $25.
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Answers

Nadine saved $16

Barry saved $9
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HELP ME ASAP PLEASE
Find the length of the missing side. Simplify all radicals.

Answers

Answer:

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Step-by-step explanation:

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Find the slope of the line that passes through the following points: E(1.4). F(5,-2)​

Answers

Answer:

-1.5

Step-by-step explanation:

m=-6/4

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-1.5

Answer:

-3/2

Step-by-step explanation:

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Step-by-step e


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Answers

Answer:

you can place a point on any number to the left of -1 on the number line, just don't place one on it because that would be equal to.

The sum of 6.7 and a number is negative. What is a possible value for that number? Explain.​

Answers

Answer:

The number must be greater than 6.7. Thus, the sum will be negative.

For example, the number could be 7.

6.7 - 7 = -0.3

The number can be in the range -  x ∈ (- ∞ , - 6.7)

We have - the sum of 6.7 and a number is negative.

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For what range of values of x, the given function is equals to a negative value -y = f(x) = 2x + 10

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According to the question, we have - the sum of 6.7 and a number is negative.

Now -

6.7 + x < 0

x < 6.7

x ∈ (- ∞ , - 6.7)

Hence, the number can be in the range -  x ∈ (- ∞ , - 6.7).

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yea here is another q

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The answer is x^2 +27x+176

This battery lasts 600 minutes when it's fully charged. Work out how many minutes the battery will last of it has 37% of its charge remaining.

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Answers is 222 :) ........

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Answers

61 degrees = angles 1, 3, 6
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The red angle is vertical to angle 6. Since vertical angles are congruent, angle 6 = 61.

The red angle corresponds to angle 1, and angle 6 corresponds to angle 3. Since corresponding angles are congruent, angle 1 and angle 3 = 61.

The red angle and angle 4 are consecutive interior angles, which are supplementary. So 180 - 61 means angle 4 is 119.

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4 and 7 are corresponding and 2 and 5 are corresponding so 7 and 5 are 119.

A teacher interested in determining the effect of a new computer program on
learning to read conducted a study. One hundred students were randomly assigned
to one of two groups. The first group used the computer program while the second
group did not. Both groups were tested to determine how much their reading levels
improved. The results for the two groups were compared. What kind of study is this?
(2 points)
1) This is an experiment because a treatment was applied to a group.
2)
This is an experiment because students were able to choose which group to
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Answer:

an experiment because a treatment was applied to a group

Step-by-step explanation:

jayfeather friend me

Answer:

This is an experiment because a treatment was applied to a group.

Step-by-step explanation:

This is because it cannot be a survey since the children are taking a test, which has a hypothesis. Hope you get this right. I took the test and got right.

PLEASE MARK ME AS BRAINLIEST

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Answers

Answer:

D

Step-by-step explanation:

they need the same angle measures and side lengths to be congruent. also you need to line up the angles of the same measure in each triangle in the name

Answer: D

Step-by-step explanation:

You can type 40 words per minute. How many words can you type in 10 minutes?

Answers

400, cus 40*10=400. Brainiest if possible, and tysm!

Answer:

40 * 10 = 400

Step-by-step explanation:

You have to multiply to get the answer :)

Hope yall have a awesome and wonderful day

urgent I need help pls ​

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11

Explanation:
Graphing calculator

A Kindergarten teacher observes that 65% of her students arrive in her class knowing the
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Step-by-step explanation:

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Step-by-step explanation:

its split in half so if one side is 40 that means the other side is to

Raven graphed the function f( x) = −x2+8x . Which of the following is the vertex of Raven’s graph?


a)(4, 16)


b)(-4, 16)


c)(4, -16)


d)(-4, -16)

Answers

Answer:

a) (4,16)

Step-by-step explanation:

I believe it's this one. I have the same exact question :))

help asap,marking brainliest

Answers

Answer:

Try d .............,,.....

Answer:

Option B is the correct answer

Step-by-step explanation:

Hope it helps you in your learning process.

-2(3x - 1) < 8

(3x - 1) > 8/(-2)

3x - 1 > - 4

3x > 1 - 4

3x > - 3

x > - 3/3

x > - 1

How would you solve this?

Answers

Answer:

Step-by-step explanation:

Find the slope = -2/1

Find the y-intercept = 5

Go to graph

put a dot at (0,5)

since it's a negative slope you will go up 2 and left 1

draw your line

_________________________________________________

Find the slope = 3/1

Find the y-intercept = 0

go to graph

Put a dot at (0,0)

Since it is a positive slope you will go down 3 and left 1.

To find the slope and y-intercept use this formula=

y=mx+b

m=slope

b=y-intercept

I'm sorry I don't know how to do a check equation for these.

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