Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
Z < − 6
Interval Notation:
( − ∞ , − 6 )
Step-by-step explanation:
The price of oranges is proportional to the number of oranges if
One orange costs 1200 Rs. Find:
A. The price of 12 oranges.
B. The amount of oranges that cost 32,000 Rs.
#1
Cost of 1orange=1200
Cost of 12 oranges:-
[tex]\\ \sf\longmapsto 1200(12)=14400[/tex]
#2
Total cost=32000Cost of one orange=1200Total oranges
[tex]\\ \sf\longmapsto 32000\div 1200[/tex]
[tex]\\ \sf\longmapsto 2666.6[/tex]
[tex]\\ \sf\longmapsto 2667[/tex]
3х – 2y = 27
=
3х -
у = 24
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3*x-2*y-(27)=0
STEP1:
Equation of a Straight Line
1.1 Solve 3x-2y-27 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 3x-2y-27 = 0 and calculate its properties
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 27/-2 so this line "cuts" the y axis at y=-13.50000
y-intercept = 27/-2 = -13.50000
Calculate the X-Intercept :
When y = 0 the value of x is 9/1 Our line therefore "cuts" the x axis at x= 9.00000
x-intercept = 27/3 = 9
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -13.500 and for x=2.000, the value of y is -10.500. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -10.500 - (-13.500) = 3.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 3.000/2.000 = 1.500
Geometric figure: Straight Line
Slope = 3.000/2.000 = 1.500 x-intercept = 27/3 = 9 y-intercept = 27/-2 = -13.50000Help please I really don’t understand due in 3 days
Answer:
x < 4
Step-by-step explanation:
3x - 3 < 9 ( add 3 to both sides )
3x < 12 ( divide both sides by 3 )
x < 4
Answer:
x < 4.
Step-by-step explanation:
3x - 3 < 9
Add 3 to both sides:
3x < 9 + 3
3x < 12
Divide both sides by 3:
x < 4.
What is the Answer for
y=2+frac{1+x}{1-2x}
Answer:
[tex]x=\frac{y-3}{2y-3}[/tex]
Step-by-step explanation:
[tex]y=2+\frac{1+x}{1-2x}[/tex]
First, subtract 2 from both sides:
[tex]y-2=\frac{1+x}{1-2x}[/tex]
Multiply both sides by (1 - 2x):
[tex]y-2(1-2x)=1+x\\y-2xy-2+4x=1+x[/tex]
Subtract 1, subtract x, and add 2xy to both sides:
[tex]y-3+3x=2xy[/tex]
Subtract 3x from both sides:
[tex]y-3=2xy-3x[/tex]
Factor out the x:
[tex]y-3=x(2y-3)[/tex]
Finally, divide both sides by (2y-3):
[tex]x=\frac{y-3}{2y-3}[/tex]
Keep in mind that this is undefined at y=1.5. The original equation is also undefined at 0.5.
Write x/2 - 2x + 4/ x + 1 as a single fraction, in its simplest form.
Answer:
x²-3x - 8 2(x + 1)
Explanation
Find common denominator and write the nu merators above common denominator:
x(x + 1) − (2x + 4) × 2
2(x + 1)
Apply Multiplicative Distribution Law :
x² + x - 4x = 8
2(x + 1)
Reorder and gather like terms:
x² + (x − 4x) — 8
2(x + 1)
Collect coefficients for the like terms:
x² + (1-4) × x-8
2(x + 1)
Calculate the sum or difference:x²-3x -8
2(x + 1)
Answer:
x²-3x - 8
2(x + 1)
PLEASE PLEASE AND ANWER FAST PLEASE!
Answer:
Option A. The student incorrectly used < instead of > for the second inequality. The correct inequality is >.
Step-by-step explanation:
Defintions:Boundary lines that are often used in systems of linear inequalities determine the location of the solutions region in a coordinate plane.
Solid boundary lines are used for the equal sign, "=," and the inequality symbols "≥" and "≤." This implies that the points along the line (endpoints) are included as solutions to the given system. Dashed boundary lines are used for inequality symbols, ">" and "<." Using the dashed lines as the boundary implies that the points along the line (endpoints) are not included as solutions to the given system. Solution:Given the systems of linear inequalities: y ≤ 0.5x + 1 and y = -2x + 1:
In order to determine what is the appropriate inequality symbols for both equations, we must first set the second equation with an equal sign. Then, choose a test point (not in either lines) to determine which half-plane region must be shaded.
Test point: (0, 0)
Substitute the test point into both equations to determine whether it satisfies the given equation:
y ≤ 0.5x + 10 ≤ 0.5(0) + 1
0 ≤ 0 + 1
0 ≤ 1 (True statement).
y = -2x + 20 = -2(0) + 2
0 = 0 + 2
0 = 2 (False statement). Therefore, the half-plane region that doesn't contain the test point must be shaded. Hence, we must use the ">" symbol for this equation, as we're shading "above" where the values for y is greater than the y-intercept, (0, 2).
Therefore, the correct answer is Option A: The student incorrectly used < instead of > for the second inequality. The correct inequality is > (greater than symbol).
State the domain and range of the relation:
{(1,3), (2, 4), (3,5), (-1,3), (-2, 4), (-3,5))
Answer: Domain is {-3, -2, -1, 1, 2, 3}. Range is {3, 4, 5}
Step-by-step explanation:
Domain in x values and therefore -3, -2, -1, 1, 2, 3. The range is y-values and you don't have to repeat same values making the range 3, 4, 5
If f(x)=X^2+1, g(x)=9x_1
Answer:
I dod not understand the question. Do you need to find the solution? ifso, it is (0,1)
Step-by-step explanation:
please be quick i dont have that much time
Answer:
To find the sum of interior angles in a polygon, we can use the formula:
[tex]180(n-2)[/tex] where n is the number of sides.
Since this is pentagon (5 sides), then [tex]180(5-2)=180*3=540[/tex]
The missing angle would then be
[tex]540-97-111-104-115=113[/tex]
Since angles on a straight line add up to 180, then
[tex]x+113=180[/tex]
[tex]x=67[/tex]
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!9
Answer:
letter D
thank me later....
For the following quadratic equation, find the discriminant. –4x² + 24x – 152 = 0
Given that lines b and c are parallel, and the m<1=4x-30 and m<5=2x+50. Find the measure of angle 1 and measure of angle 7 Explain your reasoning and show your work.
tysm in advance
The required measure of the angle 1 and 7 is given as 130° and 40° respectively.
Given that,
Lines b and c are parallel, and the m<1=4x-30 and m<5=2x+50. Find the measure of angle 1 and the measure of angle 7 .
The orientation of one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
here,
From the figure,
∠1 = ∠5
4x - 30 = 2x + 50
2x = 80
x = 40
Now,
∠ 1 = 4 [40] - 30
∠1 = 130° = ∠5
∠7 = 180 - ∠5
∠7 = 180 - 130 = 40°
Thus, the required measure of the angle 1 and 7 is given as 130° and 40° respectively.
Learn more about Angles here:
https://brainly.com/question/13954458
#SPJ2
What’s the answer to 2/3 -1/2
the answer is 1/6 bbbbbbbbb
Step-by-step explanation:
bring both fractions to the same denominator (bottom number). then we can readily compare our add or subtract them.
what is the snaked common multiple of 2 and 3 (the smallest number that can be divided without remainder by both numbers)?
it is 6 (in case of doubt simply multiply both numbers and use the result as common denominator).
so, we need to bring both to fractions in the form .../6.
2/3 = 4/6
1/2 = 3/6
so,
4/6 - 3/6 = 1/6
and that is the answer to the original question.
The sum of the ages of a woman and her
son is 64 years. In 4 years time the woman
will be three and half times as old as her
son. How old were they three years ago?
Step-by-step explanation:
sorry for my ugly handwriting, hope it helps
A 6.50 m long ladder leans against a house wall. The ladder forms an angle of inclination a of 72 ° with the horizontal ground. How high is the ladder against the wall?
6.182m against the wall from the ground
Well this is a tricky one though but very easy.
So we have on our hands a 6.50m long ladder leaning against a wall at an angle of 72°, as illustrated in the diagram above. (please parden my hand writing).
So we are to find how high the ladder is against the wall, which from the diagram I labelled as y, and to find y we have to use something called SOHCAHTOA. This basically is use in calculating some lengths of a right angle triangle when Pythagoras therom fails u .
So from SOHCAHTOA, we are going to use SOH
What this basically means is
The sin of an angel(for example x) can be found by dividing the opposite to the angle by the hypotenuse. Since we are finding for y
Sin(72°) = y/6.50, if we should cross multiple the we will be having
Y = sin(72°) * 6.50
After evaluating using your calculator,
You will have y = 6.182
In a right triangle one angle is 55° and the hypotenuse is 20 mm which expression will give you the correct length in millimeters of the leg adjacent to the 55° angle?
Answer:
D 20cos55º
Step-by-step explanation:
cos = adj/hyp
cos55 = adj/20
20cos55 = adj
6 boys on the baseball team split 9 cupcakes after the game what fraction of the cupcakes did each boy get?
Answer:
2/3
Step-by-step explanation:
Anayah is baking cookies. Each batch of cookies that she makes contains 2/3 cups of flour. Anayah wants to make 10 batches of cookies. How much flour will she need in total for all of the batches?
Answer:
6 2/3
Step-by-step explanation:
10* 2/3
20/3
which is 6 2/3
IF F(x) is ax + x² – 152-18
as show that F(3)=0
(
b) Find the factors of F(x).
[tex]x = 3[/tex]
[tex]a(3) \: + \: 3 {}^{2} - 152 - 18[/tex]
[tex]3a \: + \: 9 \: - 134[/tex]
[tex]3a \: - 134 + 9[/tex]
[tex]3a - 143[/tex]
Step-by-step explanation:
Hope this helps you XD ✌️Carry on learning !!Determine the equation of the line that passes through the given points. (If you have a graphing calculator, you can use the table feature to confirm that the coordinates of both points satisfy your equation.)
(3.5, 8.2) and (2, 7.3)
a.
y = negative 0.6 x minus 6.1
b.
y = 0.6 x minus 6.1
c.
y = negative 0.6 x + 6.1
d.
y = 0.6 x + 6.1
Answer:one way is to simply use slope intercept form or point slope form
point slope: y-y1=m(x-x1) where m=slope and you are given a point (x1,y1)
slope intercept: y=mx+b where m=slope and b=yintercept
slope=(y2-y1)/(x2-x1) when given points (x1,y1) and (x2,y2)
we are given
(3.5,8.2) and (2,7.3)
slope=(7.3-8.2)/(2-3.5)=-0.9/-1.5=0.6
slope=0.6 or 6/10
point slope
use any point
y-y1=m(x-x1)
y-7.3=0.6(x-2) or
y-8.2=0.6(x-3.5)
slope intercept wouold be point slope but solve for y by distributing m and adding y1 to both sides
take first one
y-7.3=0.6(x-2)
y-7.3=0.6x-1.2
add 7.3 both sides
y=0.6x+6.1
equation is
POINT SLOPE FORM:
y-7.3=0.6(x-2) or
y-8.2=0.6(x-3.5)
SLOPE INTERCEPT FORM:
y=0.6x-6.1
Step-by-step explanation:
kim can mow the greens at the golf course twice as fast as shayla can. Working together, they can mow the greens in 4 hours. How long does it take kim to mow the greens alone
Answer: Kim can mow the greens alone in 6 hours.
Step-by-step explanation:
Let K be the rate Kim mows the greens, and S the rate for Shayla. The rates K and S will be in greens/hour.
We know they can mow 1 green in 4 hours. We can state this as a sum of their rates times the 4 hours equals one green:
(4 hours)*(K + S) = 1 green
We are told that K = 2S [Kim is twice as fast as Shayla]
Subsititute:
(4 hours)*(K + S) = 1 green
(4 hours)*(2S + S) = 1 green
4*(2S + S) = 1 green
12S = 1 green
Shalya's rate is 1 green/12 hours
Kim is twice as fast: K = 2S
Kim's rate is 1 green/6 hours.
Hallar el área lateral de un cilindro que tiene de radio de la base 10 cm y de altura 5 cm.
Answer:
942.48
Step-by-step explanation:
Find zeroes of quadratic polynomial p(x) = x2 -3x - 4.
Here is ur answer
- BRAINLIEST answerer
1. Write the following statements in the from of equations. a. One third of a number plus 7 is 26
pls tell step by step
Answer:
1/3x+7=26
Step-by-step explanation:
1/3 of a number which could anything so mark as X
add 7
equals 26
1/3x+7=26
I’m so confused on how to do this -?
Answer:
256
Step-by-step explanation:
any number to the 0 power equals 1, so r^0 equals 1
then, you have (4(1))^4
4×1=4
4^4=256
Answer:
3328
Step-by-step explanation:
13(4r^0)^4=13*44= 13*(4
*
4
*
4
*
4
)
=
3328
PLZ HELP ITS TIMED AND IM STUCK
3. option d
2. option a
5. option f
FIND THE SLOPE OF THE LINE
Answer:
4/1
Step-by-step explanation:
To get from one dot to the next, you go up by four and to the right by one, making the slope 4/1
Riley and Rhoda plan to buy several bags of dog food and a dog collar. each bag of food cost $7, and the dog collar cost $5.
Answer:
matters on amount of dog food bought
Step-by-step explanation:
12 for 1 bag
19 for 2 bags
26 for 3 bags
33 for 4 bags
Find the value of each expression.
A) 3√9-16
B) -7√0.36+5.4
[tex]3 \sqrt{9} - 16 = ... \\ = 3(3) - 16 = 9 - 16 \\ = \bold{ - 5}[/tex]
[tex] \: [/tex]
B.)[tex] - 7 \sqrt{0.36} + 5.4 = ... \\ = - 7(0.6) + 5.4 = - 4.2 + 5.4 \\ = 5.4 - 4.2 = \bold{1.2}[/tex]
Find the unit rate for each problem.
Answer:
1. 11 players per team
2. 60 miles per hour
3. 25 games per season
4. 60 words per minute
Step-by-step explanation:
1) 132 players divided by 12 teams = # of players per team
132/12 = 11 players per team
2) 240 miles divided by 4 hours = # of miles per hour
240/4 = 60 miles per hour
3) 125 games divided by 5 seasons = # of games per season
125/5 = 25 games per season
4) 180 words divided by 3 minutes = # of words per minute
180/3 = 60 words per minute