Graph the solution to this inequality on the number line.
-3x<4.2
-3 -2.5 -2 -1.5 -1 -0.5 0 0.5 1
1.5 2
2.5 3
Answers
[tex]\\ \sf\longmapsto -3x<4.2[/tex]
[tex]\\ \sf\longmapsto x<4.2/-3[/tex]
[tex]\\ \sf\longmapsto x<-1.4[/tex]
Graph attached
The solution to the given set of inequality is -
x > - 1.4.
What is the general equation of a Straight line? What is a linear inequality?
The general equation of a straight line is -
y = mx + c
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
Other possible equations of lines are -
(y - y₁) = m(x - x₁) {Point - slope form}
(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁) {Two point - slope form}
x/a + y/b = 1 {intercept form}
x cos(β) + y sin(β) = L {Normal form}
A linear equality is of the form -
y ≤ mx + c
y ≥ mx + c
y > mx + c
y < mx + c
We have the given inequality as -
-3x < 4.2
We have the following inequality as -
-3x < 4.2
x > (- 4.2/3)
x > - 1.4
Therefore, the solution to the given set of inequality is -
x > - 1.4.
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Related Questions
The area of a rectangle is 52 in^2. If the length is 9 inches more than the width, find the
dimensions of the rectangle.
Answers
Answer:
width=4in.
length=13in
Step-by-step explanation:
let the width of the rectangle be x
then the length will be x+9
Area= length×width
52= (x+9)x
52= x²+9x
x²+9x-52=0
x²+13x-4x-52=0
x(x+13) - 4(x+13)= 0
(x-4)(x+13)=0
x=4 or -13
dimension cannot be negative
hence x=4in
the width is 4in. and the length is 4+9=13in.
The solution is, width=4in.
length=13in
What is area ?Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.
here, we have,
The area of a rectangle is 52 in^2.
If the length is 9 inches more than the width.
let the width of the rectangle be x
then the length will be x+9
Area= length×width
so, we have,
52= (x+9)x
52= x²+9x
x²+9x-52=0
x²+13x-4x-52=0
x(x+13) - 4(x+13)= 0
(x-4)(x+13)=0
x=4 or -13
dimension cannot be negative
hence x=4in
so, we get,
the width is 4in. and the length is 4+9=13in.
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Confused on both 9 and 10 please help
Answers
10. I couldn’t see the side of this one but I hope 9 helped :)
What is the answer I’ll rate you 5
Answers
The equation of the line is [tex]y=8[/tex]
To get the required equation, use the general form of the equation of a line having a gradient [tex]m[/tex], and passing through a point [tex](x_0,y_0)[/tex]
[tex]y-y_0=m(x-x_0)[/tex]
For our problem, the line has [tex]0[/tex] gradient, and passes through the point [tex](4,8)[/tex]
substituting the required values, we have
[tex]y-y_0=m(x-x_0)\\y-8=0(x-4)\\y-8=0\\y=8[/tex]
The required equation is [tex]y=8[/tex]
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The sum of three consecutive integers is 42. Which of the equations could represent this relationship? Select the two correct answers.
x + (x + 1) + (x + 2) = 42
x + (x + 2) + (x + 4) = 42
Answers
The second one equals 12
to help you discover the answer better I really think the second one
What is the equation of the line in point - slope form with slope 3/4and passes through the point (5, -8)?
Answers
Please help me !!
Nine more than eight times a number (x) is at least forty-nine
What’s the inequality & the solution to the inequality is ..
Answers
Answer:
x = 5.
Sorry if you didn't mean find x and I have no idea about the inequality stuff.
Step-by-step explanation:
We can do a reverse equation in steps. So the first thing we'll do is..
49 - 9 which equals 40.
Then we should do a division since the opposite of multiplication is division.
40 divided by 8 = 5.
To check that we do 5 x 8 = 40 + 9.
Hope that helps. x
Answer:
See below
Step-by-step explanation:
9 + 8x [tex]\geq[/tex] 49
Subtract 9 from both sides
8x [tex]\geq[/tex] 40
Divide by 8
x [tex]\geq[/tex] 5
A laptop computer is normally $1299 but is discounted to $999. What percent of the original price does
Charlie pay?
Answers
Answer:
76.90%
Step-by-step explanation:
100/1299*999= 76.9053117783 - 100 = -23.0946882217
Does anyone know this?
Blank #1____
Blank #2____
Blank #3____
Blank #4____
Answers
Answer:
12x2x8xStep-by-step explanation:
Apparently, the values in the table are the products of the terms on the left and the terms on the bottom.
(Blank 1) × 1 = 1 ⇒ (Blank 1) = 1
(Blank 2) × 8x = 16x² ⇒ (Blank 2) = 16x²/(8x) = 2x
(Blank 3) = (Blank 1) × (Blank 2) ⇒ (Blank 3) = 1 × 2x = 2x
(Blank 4) = 8x × 1 = 8x
Answer:
1. 1
2. 2x
3. 2x
4. 8x
Step-by-step explanation:
Please solve this question
Answers
Answer:
K so we want to find angle EFC
Its a much longer process
AC is a line, so its 180 degrees
ED is 32 (This also makes AB 32 degrees)
Now we need DC
Find the other side angle length
180 - 32 - 87 = 61
theta is 61+32
1. The teacher assigns homework after 7/10
of the lessons
A) unlikely
B) likely
C) certain
D) equally likely
Answers
Answer:
B) Likely
Step-by-step explanation:
Unlikely = < 50%
Likely = > 50%
Certain = 100%
Equally likely = 50%
A gear ratio is the ratio of the teeth on the front sprocket and the teeth on the rear sprocket. If a bike has 36 teeth on the front sprocket and 12 teeth on the rear sprocket, what is the gear ratio for the bike?
1
Answers
Answer:
The gear ratio is 36 to 12 however it can be simplified to a 6-2 gear ratio.
Answer:
answer was 3
Step-by-step explanation:
just did the test
The table shows the prices for fruit items at a local farmer’s market. Katelyn purchased four pounds of apples, six navel oranges, two mangoes, and three watermelons. The farmer’s market charged a convenience fee of $3 per order. Katelyn paid with a $50 bill.
Fruit Price List
Item Price
Crispy Apples $1.79 (per pound)
Navel Oranges 4 for $5.00
Mango $1.50 each
Watermelon $5.99 each
How much change should Katelyn receive from the $50 bill?
F.$11.37
Answers
The change Katelyn should receive from the $50 bill is $11.37.
The first step is to determine the total cost of the purchase.
Total cost of the 4 pounds of apples = $1.79 x 4 = $7.16
Total cost of six navel oranges = ($5 / 4) x 6 = $7.50
Total cost of two mangoes = $1.50 x 2 = $3
Total cost of three watermelons = $5.99 x 3 = $17.97
Total cost of the fruits = $35.63
Total cost of the order = $35.63 + $3 = $38.63
Change = $50 - $38.63 = $11.37
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Josephina lives on a farm with 3 sheep, 2 goats, 11 chickens, and 5 cows. She is going to randomly select an animal to take to the stock show. What is the probability of randomly selecting a cow or a goat
Answers
Answer:
7/21 or 1/3
Step-by-step explanation:
Adding all the animals together, we get 21. Then we add just the cows and the goats and get 7. Then we do 7/21 = 1/3 simplified
question attached , need help~
thx for answering ~
kindly stay away if u don't know the ans :) ~
Answers
Answer:
I FOUND IT ACTUALY 22.857 lacs $2,285,714
Step-by-step explanation:
do the formula
is/of = %/100
[tex]\frac{17.5}{100} = \frac{4}{x}[/tex]
100*4=400
400/17.5=22.857
Answer:
Total worth of assets of the man = 22.86 lacs
Step-by-step explanation:
Let the man's assets = 100%
Given to the wife = 50%, so leftover 50%
From it given to 4 sons = 15%, so leftover 35%
From it given equally to 2 daughters, so each daughter gets 35% / 2 = 17.5%
17.5% = 4 lacs
100% = 4 x (100/17.5) = 22.8571
Round off to 2nd decimal place = 22.86 lacs
Use the correct order of operations to solve the problem below.
26 - (5 + 4) - 20 ÷ 4
Answers
Answer:
15
Step-by-step explanation:
To solve this question we will be using BIDMAS.
This stands for, Brackets, indices, division, multiplication, addition and subtraction.
As brackets is first, we need to do 5+4, to get 9.
This gives us 26-9-20 divide 4
Next is division so we do 20 divide by 4, to get 5.
This gives us 29-9-5
So now we subtract 9 from 29 to get 20, and 5 from 20 to get 15, which is our final answer.
A pole that is 3.1 m tall casts a shadow that is 1.57 m long. At the same time, a nearby tower casts a shadow that id 50.5 m long. How tall is the tower? Round your answer to the nearest meter.
Answers
Step-by-step explanation:
an object and its shadow create a right-angled triangle.
2 objects and their shadows at the same time create therefore two similar right-angled triangular
triangles.
that means the angles are the same, and each side length of one triangle correlates to the corresponding side length of the other triangle by the same factor.
so, when we know the factor of one pair of sides, we can calculate the lengths of the others by using the same factor.
therefore,
1.57 × f = 50.5
f = 50.5 / 1.57 = 32.1656051...
the height of the tower is then
3.1 × f = 3.1 × 32.1656051... = 99.7133758... m ≈ 100 m
Add the polynomials: x2 + 2x + 1 and y2 + 2x + 3.
Answers
Therefore, the above answer is correct.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Adding both of the polynomial equations we get [tex]x^2+y^2+4x+4[/tex].
What is a polynomial equation?A polynomial equation exists an equation where a polynomial exists set equivalent to zero. i.e., it exists an equation constructed with variables, non-negative integer exponents, and coefficients together with operations and an equal sign. It includes different exponents. The highest one demonstrates the degree of the equation.
Given: [tex]x^2 + 2x + 1[/tex] and [tex]y^2 + 2x + 3.[/tex]
Adding both of these two equations, then we get
[tex]x^2+2x+1+y^2+2x+3[/tex]
Group like terms
[tex]=x^2+y^2+2x+2x+3+1[/tex]
Add similar elements [tex]x^2+y^2+4x+4[/tex]
Adding both of the polynomial equations we get [tex]x^2+y^2+4x+4[/tex].
Therefore, the correct answer is [tex]x^2+y^2+4x+4[/tex].
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4. Which table shows a constant rate of
change?
A
Hours
2
7
14
Earnings ($)
40
60
80
B.
Hours
2
7
14.
Earnings ($)
40
140
280
C
Hours
2
7
14
Earnings ($)
40
70
140
Answers
Answer:
A 16. B 20). C 40 ... 40' 60'| 80. 20 20 20. 2 7 14a. 40 140|| 280'|. BX Hours. Earnings ($).
Step-by-step explanation:
There are 3 cyan, 9 magenta and 15 yellow printer cartridges in a box.
We pick one at random, then pick another one, without replacement.
What is the probability that both of them will be cyan?
Answers
Answer: Less likely since the number of cyan is quite lower or the lowest in comparison of magenta and yellow.
round 8.6 to the nearest whole number
Answers
Answer:
the answer is 9
Step-by-step explanation:
A baby who was 18 inches at birth is now 24 inches by what percentage did the babys height increase
Answers
Answer:
≈33.3%
Step-by-step explanation:
First we find the difference of the heights to see what the growth was
24-18 = 6
Then we find what percent 6 is of 18 to see what percentage growth occured
6/18 ≈33.3%
Solve: x + 1 < 4 and 3 - x > 5
Answers
Answer:
okokok
Step-by-step explanation:
Solve for x:
1 - 8(x - 8) = 17
Answers
1 -8x + 64 = 17
-8x + 65 = 17
-8x = -49
X = 49/8
Hope this helps!
Brainliest and a like is much appreciated!
At the fair, 220 balloons are given to 40 children, 3/8 of whom are girls. Each boy receives the same number of balloons. Each girl receives twice as many balloons as each boy. How many more balloons do all the girls receive than all the boys?
Answers
Po
Methane(CH4)
Ethane(C2H6)
Propane(C3H8)
Butane(C4H10)
Pentane(C5H12)
Hexane(C6H14)
Jul 3, 2018
http://www.gcesystems.com › what-...
Solve the quadratic for x. Select all that apply.
x? + 7x - 30 = 0
O A. X=3
O B. X=-6
C. X=-10
D. X=-3
O E.X=5
O F.x=6
Answers
Hope this helps
Question Is In The Picture
Answers
Answer:
30
Step-by-step explanation:
Pythagorean theorem states that a^2 + b^2 = c^2
this theorem only works on triangles with an angle of 90 degrees or a right triangle.
18^2 + 24^2 = 900
the square root of 900 is 30
I did the square root of 900 because the square root is the 'opposite' of squaring which is what you need to do in order to find 'c' is the Pythagorean theorem. 'a' is 18, and 'b' is 24
Answer is 30
Here is a photo of the question it self. I hope it makes it easier to understand
Thank you for anyone who helps with the question
Answers
Answer:
a. R>S
b. It means that R is to the right of S
c. City R is warmer
Step-by-step explanation:
can y’all please help me out
Answers
Step-by-step explanation:
x⁴ + 4x³ - 5x² + x - 3 ÷ x² + x - 3 = x² + 3x - 5
- x⁴ + x³ - 3x²
-------------------------
0 3x³ - 2x² + x - 3
- 3x³ + 3x² - 9x
-------------------------------
0 - 5x² + 10x - 3
- - 5x² - 5x + 15
-------------------------------------
0 15x - 18
the result is therefore
x² + 3x - 5 + (15x - 18)/(x² + x - 3)
I WILL MARK BRAINLIST PLS!!! + explain
Sarah is going to the food truck with her friends. Hot dogs cost $2 and drinks cost $3. She has a total of $24 that she can spend. The equation 2x+3y=24 represents this scenario.
What does y represent in this scenario?
Question 5 options:
the cost of a hotdog
number of drinks purchased
number of hot dogs purchased
the cost of a drink
Answers
Answer:
the number of drinks purchased
Step-by-step explanation:
Answer:
2, the number of drinks purchased.
Step-by-step explanation:
one drink costs $3, and since Sarah is going to the food truck with her friends, she needs to buy more than one drink. So, it would be 3 · y, y being the number of drinks she needs to buy.
PLEASE HELP QUESTION IN PICTURE
Answers
set the equations equal to each other.
4x + 8 = 7x - 4
then combine like terms
-3x = -12
then divide to isolate the x
-12/-3 = x
4 = 4
you can then plug it in to both sides to see if it is equal/correct
4(4) + 8 = 7(4) -4
16 + 8 = 28 - 4
24 = 24