Solve the system of inequalities: a) .4x−1≤0
2.3x≥4.6

Answers

Answer 1

Answer:

(a) [tex]x \leq 2.5[/tex]

(b) [tex]x \geq 2[/tex]

Step-by-step explanation:

Solving (a):

[tex]0.4x - 1 \leq 0[/tex]

Add 1 to both sides

[tex]0.4x - 1 + 1\leq 0 + 1[/tex]

[tex]0.4x \leq 1[/tex]

Solve for x

[tex]x \leq 1/0.4[/tex]

[tex]x \leq 2.5[/tex]

Solving (b):

[tex]2.3x \geq 4.6[/tex]

Solve for x

[tex]x \geq 4.6/2.3[/tex]

[tex]x \geq 2[/tex]


Related Questions

I need help ASAP please

Answers

Answer: x =168

 

Step-by-step explanation:I think it would be 80 plus 88 so its 168.  

Solve: 2/x + 3/2x - 1/2 = 2/3

Answers

Answer:

Step-by-step explanation:

[tex]\frac{2}{x}+\frac{3}{2x}-\frac{1}{2}=\frac{2}{3}\\multiply ~by~6x\\12+9-3x=4x\\21=4x+3x\\7x=21\\x=21/7=3[/tex]

Which square root has a value between 13.8 and 14.5

A.190
B. 200
C. 213
D. 220

Answers

Answer:

B: 200

Step-by-step explanation:

The sqr of 200 is equal to 14.14. when plugged into the perimeters 13.8<x<14.5 , 14.14 satisfies the condition

The square root has a value between 13.8 and 14.5 is 200.

Option (B) is correct.

What is square root?

A factor of a number that, when multiplied by itself, gives the original number. The square root of any number can be expressed using the formula: √y = y½.

Given:

The square root has a value between 13.8 and 14.5.

We have to find the square root has a value between 13.8 and 14.5.

According to given question we have

[tex]13.8 ^{2} =190.44\\\\14.5^{2} =210.25\\[/tex]

So, the square root has a value between 13.8 and 14.5 is 200.

when plugged into the perimeters 13.8<x<14.5.

Therefore, the square root has a value between 13.8 and 14.5 is 200.

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What is 6/11 as a decimal

Answers

Answer:

0.54

Step-by-step explanation:

6 divided by 11 is 0.54-non-terminating therefore we get 0.54

Answer:

0.5455

Step-by-step explanation:

Plz choose mine as brainliest

if the perimeter of a square is 8√2, find the area of the square

Answers

Answer:

Area=128

Step-by-step explanation:

p=8[tex]\sqrt{2}[/tex]

A=p^2

put value of p

A= (8[tex]\sqrt{2}[/tex])power2

A= (8^2* [tex]\sqrt{2}[/tex]^2)

A=64 * 2             (square root of 2 will be cancel by power 2)

A= 128  

What graph is a function of x

Answers

Show me the picture for I can help u

sams collects baseball cards he has 6 binders full of cards each page in the binder holds six cards and each binders has 36 pages how many baseball cards has Sam collected

Answers

Answer:

1,296

Step-by-step explanation:

36 pages x 6 cards a page = 216 cards per binder

216 cards x 6 binders = 1296

The number of baseball cards Sam collected will be 1,296.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that sam collects baseball cards he has 6 binders full of cards each page in the binder holds six cards and each binder has 36 pages.

The number of cards will be calculated as:-

36 pages x 6 cards a page = 216 cards per binder

216 cards x 6 binders = 1296

Hence, the number of cards will be 1,296.

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Add and write the result in the form a+bi. a. (4 + 2i) + (-6 - 7i)

Answers

Answer:

- 2 - 5i

Step-by-step explanation:

Given

(4 + 2i) + (- 6 - 7i) ← remove the parenthesis

= 4 + 2i - 6 - 7i ← collect like terms

= - 2 - 5i

-2.49 = -5 + x
I'm confused lol please help​

Answers

Answer:

See Below

Step-by-step explanation:

Isolate x, so add 5 to each side

-2.49 =  -5 + x

+5.00    +5

3.49 = x

Answer:

x= 251/100

=2.51

How: -2.49=-5+x

              +5 =+5

          2.51=x

I don’t know know to do this... Someone please help
I’ve done this with single numbers before, but not with the equations. I’m not sure how to navigate through the problem with all of the equations and numbers....

Answers

Answer:D

Step-by-step explanation:

You want to start a business selling lanyards to hang your mask from. You have $25 in your banking account to purchase the materials you would need to make them. After doing some research for the best deals it is going to cost you $45 to make 10 lanyards (the minimum you can make).

Answers

Answer:

If the minimum is 10 and it costs $45 for that you would be going into the negatives as $25 is less then $45 meaning : You do not have enough money to purchase something that is $45. You would need $20 more dollars. If there was no minimum you would only be able to buy 4 with a few dollars left over.

Help me please thank

Answers

The answer is C because there are 7 quarter dollar coins in total and he’s drawing 1 from each bag. Hope this helps

Tell whether (-3, 3) is a solution of the system.​

Answers

Answer:

the answer to that would be 0.

Step-by-step explanation:

What is (2a^3 b^4 c^3)^2 • (4a^2 bc^3)

Answers

Answer:16 a 8 9 c 9

Step-by-step explanation:

please help ASAP i don’t understand this !!

Answers

Answer:

f(-7) = -3

Step-by-step explanation:

f(x) = ( x-2)/3

Let x = -7

f(x) = ( -7-2)/3

    = (-9)/3

    = -3

answer for question is -3

What IS the solution to 1−(13q−5)=−6

Answers

Answer:

q = 12/13

Step-by-step explanation:

Step 1: Write equation

1 - (13q - 5) = -6

Step 2: Solve for q

Distribute -1: 1 - 13q + 5 = -6

Combine like terms: 6 - 13q = -6

Subtract 6 on both sides: -13q = -12

Divide both sides by -13: q = 12/13

WILL GIVE BRAINLIEST! Determine the coordinates of the point on the straight line y=3x+1 that is equidistant from the origin and (−3, 4).

Answers

Answer:

[tex](\frac{17}{18}, \frac{23}{6})[/tex]

Step-by-step explanation:

D1 = [tex]\sqrt{(x+3)^2 + (y-4)^2}[/tex]

D2 = [tex]\sqrt{x^2 + y^2}[/tex]

Then set D1 = D2, and substitute in y = 3x+1

[tex]\sqrt{(x+3)^2 + (3x-3)^2}[/tex] = [tex]\sqrt{x^2 + (3x+1)^2}[/tex]

[tex]x^2 +6x +9 +9x^2 - 18x + 9 = x^2 + 9x^2 + 6x + 1[/tex]

[tex]18x = 17[/tex]

x = 17/18

Then to find y, substitute back in x for y = 3x + 1

[tex]y = \frac{17}{18} * 3 + 1[/tex]

y = 23/6

The coordinates of the point on the straight line y = 3x + 1 is [tex](\frac{17}{18} ,\frac{23}{6} )[/tex].

Here,

The equation of straight line is y = 3x + 1

And, it is equidistant from the origin and (-3, 4)

We have to find the coordinates of the point on the straight line.

What is the distance between the two points?

The length of the line segment that connects the two given points, is called distance between two points.

Now,

Let the point (x, y) on the line y = 3x + 1.

Distance between the points (x, y) and (0, 0) is;

[tex]D = \sqrt{(x-0)^2+(y-0)^2}[/tex]

[tex]D = \sqrt{x^{2} +y^{2} }[/tex]

And, Distance between the points (x, y) and (-3, 4) is;

[tex]D = \sqrt{(x+3)^2+(y-4)^2}[/tex]

[tex]D = \sqrt{x^{2} +6x+9+9x^{2} -18x+9}[/tex]

Equating both distance we get;

[tex]\sqrt{x^{2} +6x+9+9x^{2} -18x+9} = \sqrt{x^{2} +y^{2} }\\\\ {x^{2} +6x+9+9x^{2} -18x+9} = x^{2} + y^{2} \\\\18x = 17\\\\x = \frac{17}{18}[/tex]

And, To find y put the value of x in y = 3x + 1, we get;

[tex]y = 3 * \frac{17}{18} + 1\\\\y = \frac{23}{6}[/tex]

Hence, The coordinates of the point on the straight line y = 3x + 1 is [tex](\frac{17}{18} ,\frac{23}{6} )[/tex].

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Can you help me with this one ?

Answers

Answer:

y = 2x-3

Step-by-step explanation:

We can use those 2 points given to solve for the slope (m) and for the y-intercept (b) in the equation y = mx+b

Slope:

(3,3) and (4,5)

m = [tex]\frac{y2-y1}{x2-x1}[/tex]

m = [tex]\frac{5-3}{4-3}[/tex]

m = 2

Y-intercept:

y = 2x+b

3 = 2(3) +b

3 = 6+b

b = -3

equation: y = 2x-3

Answer: m=2; b=-3


Explanation:

y = mx + b
(3,3) (4,5)
m = (y2-y1)/(x2-x1) = 5-3/4-3 = 2/1 = 2
replace m=2 into the equation:
y = 2x+b
Now replace (3,3) into the equation:
3 = 2(3) + b
Next you find b:
3 = 6 + b
3 - 6 = b
b = -3
Equation: y = 2x + (-3) or y = 2x -3

a store is having a sale to celebrate Labor Day every item in the store is advertised as one-fourth off the original price if am item is marked with a sale price of $126 what would be the original price

Answers

Answer:

$168

Step-by-step explanation:

1. x - 1/4x = 126

2. multiply each side by 4

3. 4x - x = 504

4. 3x = 504

5. divide each side by 3

6. x = 168

PLEASE HELP MEEEE I WANT TO CRY BECAUSE IM SO CONFUSED :( ILL GIVE YOU A BRAINLIEST ANSWER! (PLEASE DONT JUST TYPE A RANDOM ANSWER)

Answers

The parent equation would be y=x^2 because that is the parent equation of a quadratic function. ;)

Choose te correct symbol

Answers

Answer:

<

Step-by-step explanation:

∠A and \angle B∠B are complementary angles. If m\angle A=(x-21)^{\circ}∠A=(x−21) ∘ and m\angle B=(2x-15)^{\circ}∠B=(2x−15) ∘ , then find the measure of \angle A∠A.

Answers

Answer:

A = 21 degrees

Step-by-step explanation:

Here in this question, we are told to calculate the value of angle A.

When two angles are tagged complementary, what this means is that the addition of both angles gives a total of 90 degrees.

Hence;

A + B = 90

This means that;

(x-21) + (2x -15) = 90

x + 2x -21-15 = 90

3x -36 = 90

3x = 90+ 36

3x = 126

x = 126/3

x = 42

But we are told to calculate the measure of A

A = x -21

A = 42-21

A = 21 degrees

Answer:

21

Step-by-step explanation:

solve for 2(5y-1)=28

Answers

answer: x=3

you divide both side by 2

Please Help !! Show All Work !!

Answers

Answer:

1) (4,4)  2) (4,0)   3) (6,1)

Step-by-step explanation:

[tex](\frac{5+13}{2} )(\frac{7+1}{2} )\\(\frac{8}{2} )(\frac{8}{2} )\\(4,4)[/tex]

[tex](\frac{-3+7}{2} )(\frac{-3+3}{2} )\\(\frac{4}{2} )(\frac{0}{2} )\\(4,0)[/tex]

[tex]\frac{-5+x_2}{2} =1[/tex] multiply 1 by 2=2 then write[tex](+5)-5+x_2=1(+5)\\x_2 = 6[/tex]

[tex]\frac{3+y_2}{2} =2[/tex] multiply 2 by 2= 4 then write [tex](-3)3+y_2=4(-3)\\y_2=1[/tex]

are all composite numbers even

Answers

Answer:

No.

Step-by-step explanation:

A composite number has factors in addition to one and itself. The numbers 0 and 1 are neither prime nor composite. All even numbers are divisible by two and so all even numbers greater than two are composite numbers. All numbers that end in five are divisible by five. Therefore all numbers that end with five and are greater than five are composite numbers.

what's pi means for a repeating decimal

Answers

Pi is an irrational number, which means it cannot be represented as a simple fraction, and those numbers cannot be represented as terminating or repeating decimals. Therefore, the digits of pi go on forever in a seemingly random sequence.

1. 3x + y = 4
I need help I need to solve for y

Answers

Answer:

[tex]y=4-3x[/tex]

Step-by-step explanation:

[tex]3x+y=4[/tex]

Subtract 3x from both sides:

[tex]3x+y-3x=4-3x[/tex]

[tex]y=4-3x[/tex]

Answer:

its answer is

y=4-3x ok

Torque is described as T = r * F, where r = radius which is measured in feet from the fulcrum point and F = Force which is measured in pounds. What is a possible unit measure for Torque?

Answers

Answer:

(pound-feet)

Step-by-step explanation:

Given that:

Torque = r × F

Where ; r = radius in feet ; F = force in pounds

Hence, a possible unit measure of torque using the units provided for both force and Radius will be :

r (feet) × F (pounds) = Torque (pound-feet)

Hence, the possible unit of measure of torque = (pound-feet)

Other unit measure may be :

r (metres) × F(Newton) = Torque (newton-metre)

find the midpoint of a line segment with the given endpoints.(8,-3) (-8,1)

Answers

Answer:

(0,-1)

Step-by-step explanation:

What is .33 converted to a fraction in simplest form

Answers

33/100 . It’s already in simplest form

Answer: 33/100

Step-by-step explanation:

.33 is in the hundreths place, so the denominater would be 100. So, it would 33/100. You can't simplify it.

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