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
[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.
To solve more questions on straight lines, visit the link below-
brainly.com/question/20400984
#SPJ2
Which inequality is true when x = 4?
Answer:
x + 5 < 3
Step-by-step explanation:
One inequality could be x > 3. So when x = 4 this is true because 4 is greater than 3.
PLEASE HELP ME ASAP this is very important to me IT WILL RAISE MY GRADE and if you help me god bless you
Answer:
9
Step-by-step explanation:
The equation for a slope is y=mx+b, b being the y-intercept. Then, you can plug in the equation given and have 9 as your answer.
Answer:
the y intercept is 0
Step-by-step explanation:
i used a slope to help me find the y-intercept
a desk costs $145. what is the total cost of 23 desks?
Answer:
145*23=3335$
by multiplying cost by sum of desk
PLS HELP ASAP ILL GIVE BRAINLKEST PLS THANKS
Answer:
y = 3x
Step-by-step explanation:
When y = 12, x = 4
When y = 0, x = 0
The y intercept is zero.
The easiest point to see clearly is (4,12)
m = y / x because the y intercept is 0
m = 12/4 = 3
The equation of the line is
y = 3x which is the last one.
How many ink cartridges can you buy with 225 dollars if
one cartridge costs 15 dollars ?
Answer:
The answer is 15!
Step-by-step explanation:
225 divided by 15 is 15! Hope this helps! :)
9. In the figure below, Angle 1 is congruent to Angle 2.
What reason can be used to prove that mis parallel to n?
A. if a pair of verticals angles is congruent, then the lines forming them are parallel
B. If a pair of angles formed by a transversal is corresponding and supplementary, then two lines are parallel
C. If a pair of angles is congruent and the sum of their measures 180 degrees, then the line forming the angles are parallel
D. If two line are intersected by a transversal, and a pair of corresponding angles is congruent, then the two lines are parallel
Answer:
D
Step-by-step explanation:
When 2 angles are congruent and corresponding, the lines are parallel
can someone pls help i need your help
Answer:
12 miles
Step-by-step explanation:
You would have to divide $26.40 by $2.20 which equals 12 so she traveled 12 miles.
When Zainab started work, her original hourly wage was ‘y’ dollars. Her wage was then doubled, and then increased by $4. If Zainab now gets paid $17 an hour, what was her original hourly wage?
Answer:
$6.5 dollars
Step-by-step explanation:
We can make an equation to find out the original total.
2y+4=17
(subtract 4 from both sides)
2y=13
(divide by 2)
y=6.5
Hope this helped :D
Write an equation in slope-intercept form for the line with slope 5 and y-intercept -2.
The value of y varies directly with the value of x. When y= 24, x = 4.
-
What is the value of x when y = 48?
O 6
0 8
O 28
0 288
Answer:
8
Step-by-step explanation:
whatever was done to y needs to be done to x.
in this case (y) was 2x so you need to 2x (x) making 4 into 8
given f (x) = 2x - 10 forwhichvalueofxthat f (x) = -12
Answer:
=-240..................
Answer:
x = - 1
Step-by-step explanation:
f(x) = 2x - 10 and f(x) = - 12, then equating gives
2x - 10 = - 12 ( add 10 to both sides )
2x = - 2 ( divide both sides by 2 )
x = - 1
Samuel has 52 marbles in a bag. Fourteen are red, 13 are green and 25 are blue. If a marble is chosen at random, what is the probability that it is green?
Find the difference of (4.2 x 103) - (2.7 x 103) Show work.
-
Answer:
154.5
Step-by-step explanation:
just inputed the equation in desmos.
Answer: 154.5
Step-by-step explanation:
4.2*103=432.6
2.7*103=278.1
432.6-278.1=154.5
Name the perpendicular bisector….
Answer:
B and C
Step-by-step explanation:
I chose these bisector angles because they both are at a 90 degree angle
Write
[tex] \frac{10}{12} [/tex]
in simplest form
[tex]\dfrac{10}{12} = \dfrac{10 \times \tfrac 12 }{12 \times \tfrac 12} =\dfrac{5}6[/tex]
Answer:
5/6Step-by-step explanation:
10 ÷ 2/12 ÷ 2=> 5/6Conclusion:
Therefore, the simplified form of 10/12 is 5/6.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
which ratio is equivalent to 4:10? Choose ALL the equivalent ratios from i-ready
Answer:
2:5 is the simplified form.
Step-by-step explanation:
4:10 => 4/10 => 2/5=> 2:5Conclusion:
Therefore, the simplified form of 4:10 is 2:5.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Answer:
2:5 and 12:30
I hope this helps!
From: Aug1e
Prism A and Prism B have the same volume. Which could be the dimensions of Prism B?
Prism A:
length = 8 feet
width = 4 feet
height = 5 feet Prism B:
length=? feet
width=? feet
height=? feet
Answer:
length = 20 ftwidth = 20 ftheight = 0.4 ftStep-by-step explanation:
The volume of Prism A is ...
V = LWH
V = (8 ft)(4 ft)(5 f) = 160 ft³
Any set of dimensions that have a product of 160 ft³ will give a prism with the same volume. You could have, for example, ...
length = 20 ft
width = 20 ft
height = 0.4 ft
Step-by-step explanation:
We know that
Volume of prism = lwh
=> 8 × 4 × 5
=> 32 × 5
=> 160 ft³
So,
The possible length, height and width could be
Length = 10 ft
Breadth = 8 ft
Height = 2 ft
At a glass vase factory, 2 out of the last 10 vases produced were chipped. What is the experimental probability that the next vase will be chipped?
Answer:
there is a 20% chance that a vase will be cracked
Step-by-step explanation:
Answer:
2/10 = 1/5 = 0.2 = 20%
Step-by-step explanation:
17 and 18 guys
aaaaaaaaaaaa I can do the rest but i just need to get this done & over with
Answer:
17a 3.5 hours
17b 3 hours
18. w=10
Step-by-step explanation:
17a 60 miles/hour and 210 miles
so 210/60 = 3.5 hours
17b, 70 miles/ hour and 210 miles
so 210/70 = 3 hours
18. 1.5/2=7.5/w
1.5w=7.5*2
w=10
3x - 2 < 4
what is the solution for the inequality
Answer:
x<2
Step-by-step explanation:
Determine algebraically if the function is even, odd or neither:f(x)=5x2+2x+1
This function is neither even nor odd.
We have
f(x) = 5x² + 2x + 1
f(-x) = 5 (-x)² + 2 (-x) + 1 = 5x² - 2x + 1
- f(x) = -5x² - 2x - 1
but neither f(-x) = f(x) nor f(-x) = -f(x).
the reataurant started the week with blank quarts the of olive oil
Answer:
where is the question like background info
Step-by-step explanation:
Sophia wants to buy a digital camera for $145.40. She has $ 37.90 and is saving $ 2.50 each week. In how many weeks will she have enough money saved to purchase the camera?
Answer:
43 weeks
Step-by-step explanation:
145.40 - 37.90 = 107.5
107.5/2.50 = 43
Can y’all help me plz.
Answer:
No. two inputs cannot have the same output
Step-by-step explanation:
This is not a function because -2 and 2 have the same output which is 4
HOPE THIS HELPS :)
tickets at a particular movie theater have different rates for adults and children. On tuesday the theater sold 8 adult tickets and 9 tickets for 174. the next day the theater sold 5 adult tickets and 7 children tickets for 117. What is the price for the adult ticket and the price for the child ticket
Answer:
Adult = $15 pp
Child = 46 pp
Step-by-step explanation:
Let A and C be the price of Adult and Child's tickets, respectively.
We can set up equations for each of the two days, Tuesday and Wednesday. Each equation adds the totals paid for the two ticket levels and set it equal to the total income for that day:
Tues: 8A+9C=174
Wed: 5A+7C=117
We have two equations and two unknowns. Let's manipulate one of the equations in a way that allows us to eliminate one of the two variables, A or C. [One can also solve either equation to isolate one of the variables, and then use that in the second equation.]
I chose to multiply the first by 5 and the second by -8, in order to make the coefficients for A the same value in both equations, but opposite in sign:
Tues: 40A+45C = 870 [Multiply by 5]
Wed: -40A -56C = -936 [Multiply by -8]
-11C = -66 [Add the two equations]
C = 6 [Ta Da. Now use this price for a child's ticket in either of the original equations to find the cost of an adult ticket.]
8A+9C=174
8A+9*(6)=174
8A+54=174
8A = 120
A = 15
====
Use these two prices in the original equations to see if they indeed add up to the correct totals for each day.
Total Sales
Price Tues Wed Tues Wed
A 15 8 5 120 75
C 6 9 7 54 42
174 117 174 117 [The prices are correct]
Adult is $15 and child is $6
Write an equation of the line that passes through the point (3,-5) and has the slope of 2
Answer:
Y-Y1=M(x-x1)
that's the formula then fixing in your values we have
y + 5 =2(x-3)
y+5 =2x-6
Crossing over we have
y-2x=-6-5
equation of the line equals
y-2x-11 =0
How many groups of are there in 30?
Answer:
6
Step-by-step explanation:
divide or multiply by 5 to get 30
Answer:
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A and B are complementary angles. If A = (x – 23)° and m
B = (2x + 29)°, then find the measure of B.
Answer:
∠ B = 85°
Step-by-step explanation:
Complementary angles sum to 90° , then
x - 23 + 2x + 29 = 90 , that is
3x + 6 = 90 ( subtract 6 from both sides )
3x = 84 ( divide both sides by 3 )
x = 28
Then
∠ B = 2x + 29 = 2(28) + 29 = 56 + 29 = 85°
finding the distance along a diagonal with the distance formula requires you evaluate a square root. true or false ?
Answer:
true
Step-by-step explanation:
Pythagoras is simply c² = a² + b².
so, it does not matter which side of the triangle we need, we will always have to solve a square root for the final result.