For which values of a the system has no solution: x≤5, x≥a

Answers

Answer 1

Given:

The system of inequalities is

[tex]x\leq 5[/tex]

[tex]x\geq a[/tex]

To find:

The values of a for which the system has no solution.

Solution:

We have,

[tex]x\leq 5[/tex]        ...(1)

It means the value of x is less than or equal to 5.

[tex]x\geq a[/tex]        ...(2)

It means the value of x is greater than or equal to a

Using (1) and (2), we get

[tex]a\leq x\leq 5[/tex]

But if a is great than 5, then there is no value of which satisfies this inequality.

Therefore, the system has no solution for a>5.


Related Questions

If AB=CD, CD = 9in, BC = 5x, and AD = 53 in. , find x.

Answers

Answer:

None of them are correct

Step-by-step explanation:

Forty seven hundredths in standard form

Answers

Answer is .47

Fourty seven hundredths in standard form is .47,

3.5 with a line on top of five =

Answers

Answer:

7/2

Step-by-step explanation:

HELP ME PLEASE!!!!!!!!!!4(a+2)=8+4a

Answers

All real numbers are correct! Hope that helps.

Answer:

a can be anything. There are infinite solutions.

Step-by-step explanation:

[tex]4(a+2)=8+4a[/tex]

Expand:

[tex]4a+4\times\:2=8+4a[/tex]

[tex]4a+8=8+4a[/tex]

Subtract 8 from both sides:

[tex]4a+8-8=8+4a-8[/tex]

[tex]4a=4a[/tex]

Subtract 4a from both sides:

[tex]4a-4a=4a-4a[/tex]

[tex]0=0[/tex]

Since both sides are equal, a has infinite solutions as no matter what value it is, it will not affect the end result of [tex]0=0[/tex] which is true.

Which statement best explains whether these ordered pairs represent a function? (-4, 2) (6, 7) (-8, 3) (9, 10) (12, 14) (6, 9)

Answers

Answer:

These ordered pairs does NOT represent a function.

Step-by-step explanation:

One of the x-values repeast (6), which is not a characteristic of a function. Because so, it also does not pass the vertical line test because it would pass through the points twice.

answer ASAP. Subject is math

Answers

Answer: option C is wrong

4/3y = 16 solve for y

Answers

Answer:

y=12

Step-by-step explanation:

First we should rewrite the left side to look like

4y/3=16

Then multiply 3 to both sides

4y=48

Now divide by 4

y=12

The equivalent value of the expression is y = 12

Given data ,

Let the equation be represented as A

Now , the value of A is

( 4/3 )y = 16

On simplifying the equation , we get

( 4/3 )y = 16

So , the left hand side of the equation is equated to the right hand side by the value of ( 16 )

Divide by 4 on both sides , we get

( 1/3 )y = 16/4

( 1/3 )y = 4

Multiply by 3 on both sides , we get

y = 4 x 3

On simplifying , we get

y = 12

Therefore , the value of y = 12

Hence , the expression is y = 12

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officials begin to release water from a man made lake at a rate that would empty the lake in 16 weeks, but a river that can fill the lake in 30 weeks is replenishing the lake at the same time. how many weeks does it take to empty the lake? express you answer as a fraction reduced to the lowest terms, if needed.​

Answers

Answer:

34²/7

Step-by-step explanation:

Take the dam to be a take and the exit of the dam to be a tap at the bottom which is used to empty the tank and the river to be a pipe at the top of the tank that is used to fill the tank

The tap takes 16 week to empty the tank how much will it empty in 1 week =¹/16

The pipe takes 30 week to fill the tank how much will it fill in 1 week =¹/30

¹/16-¹/30= ?

Get the LCM of the denominator which is 240

The fractions are now

15/240-⁸/240=⁷/240

1week=⁷/240 empty

? = 240/240 empty

Cross multiple

240/240×1÷7/240

240/240×1÷240/7=240/7

7÷240=34²/7 weeks

The midpoint of AB is M(0, -4). If the coordinates of A are (2, -1), what are the
coordinates of B?

Answers

Answer: (-2,-7)

Step-by-step explanation:

The coordinates of  B is  (-2, -7).

What is co-ordinate geometry?

Coordinate geometry is defined as the study of geometry using the coordinate points. Coordinate geometry is required to provide a link between algebra and geometry through the use of line and curve graphs.]

Given:

Let the coordinates of  B be (x, y).

We have to find the coordinates of  B.

According to given question we have,

Then, (x + 2) / 2 = x-coordinate of M = 0.

So, x = -2.

(y + 1) / 2 = y-coordinate of M = -3.  

So, y = -7.

Therefore,  the coordinates of  B is  (-2, -7).

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7n-(4n-3) simply to create a equivalent expression?

Answers

Answer:

3n + 3

Step-by-step explanation:

Step 1:

7n - 4n + 3

Answer:

3n + 3

Hope This Helps :)

The equivalent expression is 3n + 3.

To simplify the expression 7n - (4n - 3), distribute the negative sign inside the parentheses:

7n - (4n - 3) = 7n - 4n + 3

Simplifying further,  combine like terms:

7n - 4n + 3 = (7n - 4n) + 3 = 3n + 3

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Which of these relations are functions?

Answers

It’s the first one, so you’re correct

Help please, this is definitely not my area of expertise.

Answers

Answer:

she will make 1,815

equation:55x+1

Answer:

Equation: 55 + B = A

Ammount amy earns if she sells 33 books: 88 dollars

Step-by-step explanation:

they let us know that she earns 55 dollars a week. this is the minimum she can earn in a week. So 55 is just 55. she cant earn more or less than 55 a week by just working there. the variable is the ammount of books she sells every week. Every book she sells gives her an extra one dollar to her overall wage per week. so 55 is the base and the one dollar per book is the variable that changes depending on how much she sold. So the equation would the base of 55 and the variable 1x (x being the ammount of books being sold and the 1 being how much money she makes from each book) and now just put them together with a plus sign and it would look like this

55 + 1x = ...

If she was to sell 33 books and shes earning 1 dollar per book 1(33), we only change the x from x to 33

55 + 1(33) which gives us 88

HOPE THIS HELPED. DON'T FORGET TO MARK THIS AS THE BRAINLIEST ANSWER AND GIVE IT A 5 STAR FOR ANYONE IN THE FUTURE STRUGGLING TO DO THIS SAME PROBLEM. HAVE A NICE DAY!!!

Find JH
G. H. I. J
2. 12.

Answers

Answer:

JH = 17

Step-by-step explanation:

GH = 2

IJ = 12

GI = 7

find:  JH

HI =  7 - 2

HI = 5

JH = 12 + 5

JH = 17

how many solutions does the following equation have 8u+3(1/3u-6)=9u+2u+12

Answers

how many solutions does the following equation have [tex] 8u+3(1/3u-6)=9u+2u+12[/tex]

Without even working out anything we can easily tell the answer is [tex]1[/tex] because the degree of the equation is one.

If you haven't learned this yet let me know and I will post the manual work.

:)

Answer:

  1 solution

Step-by-step explanation:

When put in general form, the coefficient of u is non-zero, so there is 1 solution.

  0 = 9u +2u +12 -(8u +3(1/3u -6))

  0 = 11u +12 -8u -3(1/3u -6)

  0 = 3u +12 -u +18

  0 = 2u +30 . . . general form equation

  0 = u +15

  -15 = u . . . . . one solution

-100x5 + 90?????????????????????????

Answers

Answer:

-410

Step-by-step explanation:

:)

Answer:-410

Step-by-step explanation:

it would rlly help so much Please I will give brainmast​

Answers

Answer: The top right

Step-by-step explanation: The top left is a line segment so incorrect,

the bottom left is a ray so also incorrect, and finally, the bottom right is just a dot so that is also incorrect.

Hope this helped!

Mark Brainliest if you want!

Answer:

Top photo on right (the one with two arrows on the sides)

Step-by-step explanation:

Top left photo is a segmentBottom left photo is a rayBottom right photo is a dotSo, the only one left is the top right photo

I hope this helps!

7. George went to the general store to buy provisions. He bought food items
worth $35. He had a $25 gift card for the store and he also paid $5 in cash.
How much debt does George have with the store?




I need it in ten minutes plz help

Answers

Answer:

He needs to pay $5

Step-by-step explanation:

$25 + $5 = $30 < how much he paid

$35 - $30 = $5 < how much more he needs to pay

Answer:

21

Step-by-step explanation:

21 yeet

brainlest plz is 21 if you dont brainlest you are gay

bsolute Value is the distance from
ero - whether to the right or left on a
umber line - it's the SAME distance
nd DISTANCE is always ....
Positive or negative

Answers

Answer:

The negative integers go to the left: , , , and so on. The distance between a number's place on the number line and is called the number's absolute value The absolute value of a number is its distance from 0 on a number line..

Step-by-step explanation:

Negative

I hope this helps :)

PLZZZ HELP WILL GIVE BRAINLIST

Answers

Answer:

2. C-40 3. A-1/85

Step-by-step explanation:

hope it helps

1. Solve the shape equation puzzle:
= 8
=
= 15

Answers

star = 5
square =3
or the other way around

Mrs. Royal has 99 Royal Recognition awards to give out. Each class received 9 awards. How many classes received awards

Answers

Answer:

11

Step-by-step explanation:

you just divide it

Answer:

11

Step-by-step explanation:

I thought collage students could do simple division...

Lol

joseph accepted a new job at a company with a contract guaranteeing annual raises. Joseph will get a raise of $5000 every year and had a starting salary of $70000. Write an equation for S, in terms of N, representing Josephs salary after working n years for the company.

Answers

Answer:S = 70,000 + 5000n

The equation that can be used to represent Josephs salary after working n years for the company is S = 70,000 + 5000n

How to write equation?Annual increase in salary = $5000Starting salary = $70,000S = Josephs salary after working n yearsn = number of years

The equation:

S = 70,000 + 5000(n)

S = 70,000 + 5000n

If n = 2

S = 70,000 + 5000n

= 70,000 + 5000(2)

= 70,000 + 10,000

= $80,000

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find the first three terms of the sequence with nth term 2n+4​

Answers

Answer:

To find out the first three terms of 2n + 4 substitute 1 ,2 and 3 into the equation.

2(1)+4=2+4=6

2(2)+4=4+4=8

2(3)+4=6+4=10

As you can see the sequence goes up in 3s 6 ,8, 10 To find out the 9th term you also substitute 9 into the equation so

2(9)+4=18+4=22

Hope this helped!

In the number 4,118, how does the value represented by the 1 in the hundreds place compare with the value represented by the 1 in the tens place?

Answers

Answer:

its 10 times

Step-by-step explanation:

its because the value of 1 in the ten place and multiply by 10 to get the 1 in the hundred place or the 1 in the hundred place divide by 10 to get 1 in the tens place

Find the area of the surface. The part of the surface z = xy that lies within the cylinder x^2 + y^2 = 9

Answers

Answer:

The area of surface is [tex]\dfrac{2}{3}(10^{\frac{3}{2}}-1)\pi[/tex]

Step-by-step explanation:

Given that,

The equation of cylinder is

[tex]x^2+y^2=9[/tex]

The part of the surface z = xy

The coordinates is,

[tex]z_{x}=y[/tex]

[tex]z_{y}=x[/tex]

We need to calculate the value of ds

Using formula of ds

[tex]ds=\sqrt{1+z_{x}^2+z_{y}^2}dA[/tex]

Put the value in to the formula

[tex]ds=\sqrt{1+y^2+x^2}dA[/tex]....(I)

We know that.

The polar coordinates,

[tex]x=r\cos\theta[/tex]

[tex]y=r\sin\theta[/tex]

The general equation of cylinder is

[tex]x^2+y^2=r^2[/tex]

compare from given equation

[tex]x^2+y^2=3^2[/tex]

0<=θ<=2π, 0<=r<=3

Area element in polar coordinates is,

[tex]dA=r dr d\theta[/tex]

Put the value of dA in equation (I)

[tex]ds=\sqrt{1+r^2}r dr d\theta[/tex]....(II)

We need to calculate the area of surface

Using equation (II)

[tex]s=\int_{0}^{2\pi}\int_{0}^{3}\sqrt{1+r^2}r dr d\theta[/tex]

[tex]s=\int_{0}^{2\pi}\dfrac{1}{3}((1+r^2)^{\frac{3}{2}})_{0}^{3}d\theta[/tex]

[tex]s=\int_{0}^{2\pi}\dfrac{1}{3}((1+3^2)^{\frac{3}{2}}-(1+0^2)^{\frac{3}{2}})d\theta[/tex]

[tex]s=(\dfrac{1}{3}((10)^{\frac{3}{2}}-1)\theta)_{0}^{2\pi}[/tex]

[tex]s=\dfrac{1}{3}(10^{\frac{3}{2}}-1)(2\pi-0)[/tex]

[tex]s=\dfrac{2}{3}(10^{\frac{3}{2}}-1)\pi[/tex]

Hence, The area of surface is [tex]\dfrac{2}{3}(10^{\frac{3}{2}}-1)\pi[/tex]

Write each product as a power. 10⋅10⋅10⋅10⋅10⋅10⋅10= pls help im dumb lol

Answers

Hey there!

ANSWER: [tex]10^7[/tex]EXPLANATION:

[tex]10*10*10*10*10*10*10 \text{ as a power}[/tex]

To write as power, you will see how many times you multiply the number 10.

[tex]10(1)*10(2)*10(3)*10(4)*10(5)*10(6)*10(7)\\\text {It was multiplied 7 times}[/tex]

Since it was multiplied 7 times, you would write it like this.

[tex]10^7(ANSWER)[/tex]

Hope this helps!

[tex]\text {-TestedHyperr}[/tex]

10 to the 7th power.

Find the product. (-10) • (-10) • (-10)

Answers

Answer:

-1000

Step-by-step explanation:

-10 times -10 makes 100 as negative cancel each other

100 times -10 make -1000

Answer:

-1000

Step-by-step explanation:

-(10x10x10)

-10^3

-1000

-√121 + 5 please help fast

Answers

Answer:

-6

Step-by-step explanation:

Please help with this

Answers

Answer:

Step-by-step explanation:

Since O is the center of the circle, from that point to any point that lies on the outside of the circle will have the same measure. That's worded weird. From point O to A, which is a radius, the length of that radius is 12. That means that the length from point O to any point on the outside of the circle will also measure 12. So from O to B is also 12. For y, we have a rule for when 2 lines tangent to a circle meet at a single point outside the circle. The 2 tangent lines are equal in length. So that means that if AC is 19.6, the CB is also 19.6. Your answer choice is 4.

Which of the following functions are solutions of the differential equation y'' + y = 3 sin x? (select all that apply)
(a) y = 3sinx
(b) y = 3xsinx - 5xcosx
(c) y = -3 / 2xcosx
(d) y = 3cosx
(e) y = 3 / 2xsinx

Answers

Answer:

C

Step-by-step explanation:

We must compute the derivatives and check if the equation is satisfied.

A. . Differentiate again to get , then  so this choice of y doesn't solve the equation.

B.  and , then  so y is not a solution

C.  hence . Then  so y is a solution.

D. and , then  thus y isn't a solution

E.  hence . Then  then y is not a solution.

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